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7th Grade Common Core Math Worksheets: FREE & Printable

Searching for math practice questions to check how ready your 7th-grade students are for their exams? You’ve found the right place!

We have a wide-ranging collection of free exercises and worksheets to assist in preparing your students for 7th Grade Common Core Math.

Go ahead and download our free Mathematics worksheets tailored for 7th Grade Common Core Math.

Enjoy and happy learning!

• How is Common Core Math Different?
• Introduction to the Common Core State Standards (CCSS)
• How to Prepare for the Common Core Mathematics?

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Related Topics:

• Grade 3 Common Core Math Worksheets
• Grade 4 Common Core Math Worksheets
• Grade 5 Common Core Math Worksheets
• Grade 6 Common Core Math Worksheets
• Grade 8 Common Core Math Worksheets

7th Grade Common Core Mathematics Concepts

Integers and number theory.

• Rounding and Estimates
• Adding and Subtracting Integers
• Multiplying and Dividing Integers
• Order of Operations
• Ordering Integers and Numbers
• Integers and Absolute Value
• Factoring Numbers
• Greatest Common Factor
• Least Common Multiple
• Simplifying Fractions
• Adding and Subtracting Fractions
• Multiplying and Dividing Fractions
• Adding and Subtracting Mixed Numbers
• Multiplying and Dividing Mixed Numbers
• Adding and Subtracting Decimals
• Multiplying and Dividing Decimals
• Comparing Decimals
• Rounding Decimals

Proportions, Ratios, and Percent

• Simplifying Ratios
• Proportional Ratios
• Similarity and Ratios
• Ratio and Rates Word Problems
• Percentage Calculations
• Percent Problems
• Discount, Tax and Tip
• Percent of Change
• Simple Interest

Exponents and Radicals Expressions

• Multiplication Property of Exponents
• Zero and Negative Exponents
• Division Property of Exponents
• Powers of Products and Quotients
• Negative Exponents and Negative Bases m
• Scientific Notation
• Square Roots

Algebraic Expressions

• Translate Phrases into an Algebraic Statement
• Simplifying Variable Expressions
• The Distributive Property
• Evaluating One Variable Expressions
• Evaluating Two Variables Expressions
• Combining like Terms

Equations and Inequalities

• One–Step Equations
• Multi–Step Equations
• Graphing Single–Variable Inequalities
• One–Step Inequalities
• Multi-Step Inequalities
• Systems of Equations
• Systems of Equations Word Problems

 Linear Functions

• Finding Slope
• Graphing Lines Using Line Equation
• Writing Linear Equations
• Graphing Linear Inequalities
• Finding Midpoint
• Finding Distance of Two Points

 Transformations

• Translations
• Reflections
• Coordinates of Vertices

 Geometry and Solid Figures

• Pythagorean Relationship
• Rectangular Prism
• Pyramids and Cone

 Statistics and Probability

• Mean and Median
• Mode and Range
• Times Series
• Stem–and–Leaf Plot
• Probability Problems

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Get ready for 7th grade

Unit 1: get ready for negative number operations, unit 2: get ready for fractions, decimals, & percentages, unit 3: get ready for rates & proportional relationships, unit 4: get ready for expressions, equations, & inequalities, unit 5: get ready for geometry, unit 6: get ready for statistics & probability.

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Seventh grade math

IXL offers hundreds of seventh grade math skills to explore and learn! Not sure where to start? Go to your personalized Recommendations wall to find a skill that looks interesting, or select a skill plan that aligns to your textbook, state standards, or standardized test.

A. Integers

• 1 Understanding integers
• 2 Integers on number lines
• 3 Graph integers on horizontal and vertical number lines
• 4 Understanding absolute value
• 5 Absolute value and opposite integers
• 6 Quantities that combine to zero: word problems
• 7 Compare and order integers
• 8 Integer inequalities with absolute values

B. Operations with integers

• 1 Add integers using counters
• 2 Add integers using number lines
• 3 Integer addition rules
• 4 Add integers
• 5 Add three or more integers
• 6 Subtract integers using counters
• 7 Subtract integers using number lines
• 8 Integer subtraction rules
• 9 Subtract integers
• 10 Integer addition and subtraction rules
• 11 Add and subtract integers using counters
• 12 Add and subtract integers
• 13 Complete addition and subtraction equations with integers
• 14 Add and subtract integers: word problems
• 15 Understand multiplying by a negative integer using a number line
• 16 Integer multiplication rules
• 17 Multiply integers
• 18 Integer division rules
• 19 Equal quotients of integers
• 20 Divide integers
• 21 Integer multiplication and division rules
• 22 Multiply and divide integers
• 23 Complete multiplication and division equations with integers
• 24 Add, subtract, multiply, and divide integers
• 25 Evaluate numerical expressions involving integers

C. Decimals

• 1 Decimal numbers review
• 2 Compare and order decimals
• 3 Round decimals

D. Operations with decimals

• 1 Add and subtract decimals
• 2 Add and subtract decimals: word problems
• 3 Multiply decimals
• 4 Multiply decimals and whole numbers: word problems
• 5 Divide decimals
• 6 Divide decimals by whole numbers: word problems
• 7 Estimate sums, differences, and products of decimals
• 8 Add, subtract, multiply, or divide two decimals
• 9 Add, subtract, multiply, and divide decimals: word problems
• 10 Multi-step inequalities with decimals
• 11 Maps with decimal distances
• 12 Evaluate numerical expressions involving decimals

E. Number theory

• 1 Prime factorization
• 2 Greatest common factor
• 3 Least common multiple
• 4 GCF and LCM: word problems

F. Fractions

• 1 Understanding fractions: word problems
• 2 Equivalent fractions
• 3 Write fractions in lowest terms
• 4 Fractions: word problems with graphs and tables
• 5 Least common denominator
• 6 Compare and order fractions
• 7 Compare fractions: word problems
• 8 Convert between mixed numbers and improper fractions
• 9 Compare mixed numbers and improper fractions
• 10 Round mixed numbers

G. Operations with fractions

• 1 Add and subtract fractions
• 2 Add and subtract fractions: word problems
• 3 Add and subtract mixed numbers
• 4 Add and subtract mixed numbers: word problems
• 5 Inequalities with addition and subtraction of fractions and mixed numbers
• 6 Estimate sums and differences of mixed numbers
• 7 Multiply two fractions using models
• 8 Multiply fractions
• 9 Multiply mixed numbers
• 10 Multiply fractions and mixed numbers: word problems
• 11 Multiplicative inverses
• 12 Divide fractions
• 13 Divide mixed numbers
• 14 Divide fractions and mixed numbers: word problems
• 15 Estimate products and quotients of fractions and mixed numbers
• 16 Add, subtract, multiply, and divide fractions and mixed numbers: word problems
• 17 Maps with fractional distances
• 18 Evaluate numerical expressions involving fractions

H. Rational numbers

• 1 Convert fractions or mixed numbers to decimals
• 2 Convert decimals to fractions or mixed numbers
• 3 Convert between decimals and fractions or mixed numbers
• 4 Identify rational numbers
• 5 Classify rational numbers using a diagram
• 6 Classify rational numbers
• 7 Absolute value of rational numbers
• 8 Compare rational numbers
• 9 Put rational numbers in order
• 10 Classify real numbers

I. Operations with rational numbers

• 1 Add and subtract positive and negative decimals
• 2 Add and subtract positive and negative fractions
• 3 Add and subtract rational numbers
• 4 Rational numbers: find the sign
• 5 Apply addition and subtraction rules
• 6 Identify quotients of rational numbers: word problems
• 7 Multiply and divide positive and negative decimals
• 8 Multiply and divide positive and negative fractions
• 9 Multiply and divide rational numbers
• 10 Apply multiplication and division rules
• 11 Multi-step word problems with positive rational numbers

J. Exponents

• 1 Understanding exponents
• 2 Evaluate powers
• 3 Solve equations with variable exponents
• 4 Powers with negative bases
• 5 Powers with decimal and fractional bases
• 6 Powers of ten
• 7 Evaluate numerical expressions involving exponents
• 8 Scientific notation
• 9 Compare numbers written in scientific notation

K. Square roots

• 1 Square roots of perfect squares
• 2 Estimate square roots

L. Ratios, rates, and proportions

• 1 Understanding ratios
• 2 Identify equivalent ratios
• 3 Write an equivalent ratio
• 4 Equivalent ratios: word problems
• 5 Unit rates
• 6 Calculate unit rates with fractions
• 7 Compare ratios: word problems
• 8 Compare rates: word problems
• 9 Do the ratios form a proportion?
• 10 Do the ratios form a proportion: word problems
• 11 Solve proportions
• 12 Solve proportions: word problems
• 13 Estimate population size using proportions

M. Coordinate plane

• 1 Coordinate plane review
• 2 Quadrants and axes
• 3 Follow directions on a coordinate plane
• 4 Distance between two points

N. Proportional relationships

• 1 Find the constant of proportionality from a table
• 2 Write equations for proportional relationships from tables
• 3 Identify proportional relationships by graphing
• 4 Find the constant of proportionality from a graph
• 5 Write equations for proportional relationships from graphs
• 6 Identify proportional relationships from graphs and equations
• 7 Identify proportional relationships from tables
• 8 Complete a table and graph a proportional relationship
• 9 Graph a proportional relationship: word problems
• 10 Interpret graphs of proportional relationships
• 11 Write and solve equations for proportional relationships

O. Percents

• 1 What percentage is illustrated?
• 2 Convert between percents, fractions, and decimals
• 3 Compare percents to fractions and decimals
• 4 Estimate percents of numbers
• 5 Solve percent problems using strip models
• 6 Percents of numbers and money amounts
• 7 Percents of numbers: word problems
• 8 Solve percent equations
• 9 Solve percent equations: word problems
• 10 Percent of change
• 11 Percent of change: word problems
• 12 Percent of change: find the original amount word problems
• 13 Percent error: word problems

P. Consumer math

• 1 Add, subtract, multiply, and divide money amounts: word problems
• 2 Price lists
• 3 Unit prices
• 4 Unit prices with unit conversions
• 5 Unit prices: find the total price
• 6 Percent of a number: tax, discount, and more
• 7 Which is the better coupon?
• 8 Find the percent: tax, discount, and more
• 9 Sale prices: find the original price
• 10 Multi-step problems with percents
• 11 Estimate tips
• 12 Simple interest
• 13 Compound interest

Q. Units of measurement

• 1 Compare and convert customary units
• 2 Mixed customary units
• 3 Compare and convert metric units
• 4 Convert between customary and metric systems
• 5 Celsius and Fahrenheit temperatures

R. Expressions

• 1 Write variable expressions: one operation
• 2 Write variable expressions: two or three operations
• 3 Write variable expressions: word problems
• 4 Evaluate linear expressions
• 5 Evaluate multi-variable expressions
• 6 Evaluate absolute value expressions
• 7 Evaluate nonlinear expressions
• 8 Identify terms and coefficients
• 9 Sort factors of variable expressions

S. Equivalent expressions

• 1 Properties of addition and multiplication
• 2 Simplify expressions by combining like terms: with algebra tiles
• 3 Simplify expressions by combining like terms
• 4 Multiply using the distributive property: area models
• 5 Multiply using the distributive property
• 6 Write equivalent expressions using properties
• 7 Add and subtract linear expressions
• 8 Add and subtract like terms: with exponents
• 9 Factor linear expressions: area models
• 10 Factors of linear expressions
• 11 Identify equivalent linear expressions using algebra tiles
• 12 Identify equivalent linear expressions I
• 13 Identify equivalent linear expressions II
• 14 Identify equivalent linear expressions: word problems

T. One-variable equations

• 1 Which x satisfies an equation?
• 2 Write an equation from words
• 3 Solve equations using properties
• 4 Model and solve equations using algebra tiles
• 5 Write and solve equations that represent diagrams
• 6 Solve one-step equations
• 7 Solve two-step equations without parentheses
• 8 Solve two-step equations with parentheses
• 9 Solve two-step equations
• 10 Solve two-step equations with fractions
• 11 Choose two-step equations: word problems
• 12 Solve two-step equations: word problems
• 13 Solve equations involving like terms
• 14 Solve equations: complete the solution

U. One-variable inequalities

• 1 Solutions to inequalities
• 2 Graph inequalities on number lines
• 3 Write inequalities from number lines
• 4 Solve one-step inequalities
• 5 Graph solutions to one-step inequalities
• 6 One-step inequalities: word problems
• 7 Solve two-step inequalities
• 8 Graph solutions to two-step inequalities

V. Sequences

• 1 Identify arithmetic and geometric sequences
• 2 Arithmetic sequences
• 3 Geometric sequences
• 4 Sequences: mixed review
• 5 Sequences: word problems
• 6 Evaluate variable expressions for sequences
• 7 Write variable expressions for arithmetic sequences
• 1 Find the slope from a graph
• 2 Find the slope from two points
• 3 Find a missing coordinate using slope
• 4 Graph a line using slope
• 5 Constant rate of change
• 6 Rate of change: tables
• 7 Rate of change: graphs

X. Two-variable equations

• 1 Identify independent and dependent variables
• 2 Find a value using two-variable equations
• 3 Evaluate two-variable equations: word problems
• 4 Complete a table for a two-variable relationship
• 5 Write a two-variable equation
• 6 Identify the graph of an equation
• 7 Graph a two-variable equation
• 8 Interpret a graph: word problems
• 9 Write an equation from a graph using a table
• 10 Write a linear equation from a graph

Y. Lines and angles

• 1 Name, measure, and classify angles
• 2 Lines, line segments, and rays
• 3 Parallel, perpendicular, and intersecting lines
• 4 Identify complementary, supplementary, vertical, and adjacent angles
• 5 Find measures of complementary, supplementary, vertical, and adjacent angles
• 6 Write and solve equations using angle relationships
• 7 Identify alternate interior and alternate exterior angles
• 8 Transversals of parallel lines: name angle pairs
• 9 Transversals of parallel lines: find angle measures
• 10 Find lengths and measures of bisected line segments and angles

Z. Two-dimensional figures

• 1 Identify and classify polygons
• 2 Classify triangles
• 3 Triangle inequality
• 4 Identify trapezoids
• 5 Classify quadrilaterals I
• 6 Classify quadrilaterals II
• 7 Graph triangles and quadrilaterals
• 8 Find missing angles in triangles
• 9 Find missing angles in triangles using ratios
• 10 Find missing angles in quadrilaterals I
• 11 Find missing angles in quadrilaterals II
• 12 Interior angles of polygons
• 13 Parts of a circle
• 14 Central angles of circles

AA. Three-dimensional figures

• 1 Bases of three-dimensional figures
• 2 Nets of three-dimensional figures
• 3 Front, side, and top view
• 4 Cross sections of three-dimensional figures

BB. Perimeter and area

• 1 Perimeter
• 2 Area of rectangles and parallelograms
• 3 Area of triangles and trapezoids
• 4 Area and perimeter: word problems
• 5 Circumference of circles
• 6 Area of circles
• 7 Circles: word problems
• 8 Area of semicircles and quarter circles
• 9 Semicircles: calculate area, perimeter, radius, and diameter
• 10 Quarter circles: calculate area, perimeter, and radius
• 11 Area of compound figures made of rectangles
• 12 Area of compound figures with triangles
• 13 Area of compound figures with triangles, semicircles, and quarter circles
• 14 Area between two shapes

CC. Surface area and volume

• 1 Surface area of cubes and prisms
• 2 Surface area of pyramids
• 3 Lateral area of prisms and pyramids
• 4 Surface area of cylinders
• 5 Volume of cubes and prisms
• 6 Volume of cubes and rectangular prisms: word problems
• 7 Volume of prisms: advanced
• 8 Volume of pyramids
• 9 Volume of cylinders

DD. Scale drawings

• 1 Scale drawings of polygons
• 2 Scale drawings: word problems
• 3 Scale drawings: scale factor word problems
• 4 Perimeter and area: changes in scale

EE. Transformations

• 1 Identify reflections, rotations, and translations
• 2 Translations: graph the image
• 3 Translations: find the coordinates
• 4 Reflections over the x- and y-axes: graph the image
• 5 Reflections over the x- and y-axes: find the coordinates
• 6 Reflections: graph the image
• 7 Reflections: find the coordinates
• 8 Rotations: graph the image
• 9 Rotations: find the coordinates

FF. Congruence and similarity

• 1 Similar and congruent figures
• 2 Congruence statements and corresponding parts
• 3 Side lengths and angle measures of congruent figures
• 4 Side lengths and angle measures of similar figures
• 5 Similar figures and indirect measurement

GG. Data and graphs

• 1 Create line plots
• 2 Interpret line plots
• 3 Create and interpret line plots with fractions
• 4 Create stem-and-leaf plots
• 5 Interpret stem-and-leaf plots
• 6 Create bar graphs
• 7 Interpret bar graphs
• 8 Create histograms
• 9 Interpret histograms
• 10 Create frequency charts
• 11 Interpret circle graphs
• 12 Circle graphs and central angles
• 13 Box plots

HH. Statistics

• 1 Calculate mean, median, mode, and range
• 2 Interpret charts and graphs to find mean, median, mode, and range
• 3 Mean, median, mode, and range: find the missing number
• 4 Changes in mean, median, mode, and range
• 5 Calculate mean absolute deviation
• 6 Calculate quartiles and interquartile range
• 7 Identify an outlier
• • New! Populations and samples
• 8 Identify representative, random, and biased samples
• 9 Make inferences from multiple samples
• 10 Compare populations using measures of center and spread

II. Probability

• 1 Probability of simple events
• 2 Probability of simple events and opposite events
• 3 Probability of mutually exclusive events and overlapping events
• 4 Experimental probability
• 5 Make predictions using experimental probability
• 6 Use collected data to find probabilities and make predictions
• 7 Make predictions using theoretical probability
• 8 Compound events: find the number of outcomes
• 9 Compound events: find the number of sums
• 10 Find the number of outcomes: word problems
• 11 Probability of compound events
• 12 Which simulation represents the situation?
• 13 Identify independent and dependent events
• 14 Probability of independent and dependent events

Seventh grade lessons

These lessons help you brush up on important math topics and prepare you to dive into skill practice!

• Absolute value
• Additive inverses
• Adding and subtracting integers
• Multiplying and dividing integers
• Adding decimals
• Subtracting decimals
• Multiplying decimals by powers of 10
• Multiplying decimals by whole numbers
• Multiplying decimals
• Dividing decimals by powers of 10
• Dividing decimals by whole numbers
• Dividing decimals
• Rational numbers
• Comparing rational numbers
• Adding and subtracting rational numbers
• Multiplying and dividing rational numbers

Exponents and powers of 10

• Powers of 10

Properties and mixed operations

• The distributive property
• Order of operations

Percents, ratios, and rates

• Unit rates with fractions
• Simple interest
• Percent change

Proportions and proportional relationships

• Proportions
• Proportional relationships
• Constant of proportionality
• Expressions and equations
• Writing algebraic expressions
• Evaluating expressions
• Equivalent expressions
• Simplifying expressions
• Expanding expressions
• Factoring expressions
• Solving equations
• Multi-step equations
• Independent and dependent variables
• Inequalities on a number line
• Solving inequalities
• Area of triangles
• Area of parallelograms
• Area of rhombuses
• Area of trapezoids
• Parts of a circle
• Area of circles
• Circumference of circles
• Complementary angles
• Supplementary angles
• Adjacent angles
• Vertical angles
• What is surface area?
• Surface area formulas
• Volume formulas
• Volume of rectangular prisms
• Volume of prisms
• Volume of cylinders
• Volume of pyramids
• Cross sections
• Triangle inequality theorem

Statistics and probability

• Mean, median, mode, and range
• Mean absolute deviation
• Box and whisker plots
• Statistical questions
• Probability
• Compound probability

Child Login

• Kindergarten
• Number charts
• Skip Counting
• Place Value
• Number Lines
• Subtraction
• Multiplication
• Word Problems
• Comparing Numbers
• Ordering Numbers
• Odd and Even
• Prime and Composite
• Roman Numerals
• Ordinal Numbers
• In and Out Boxes
• Number System Conversions
• More Number Sense Worksheets
• Size Comparison
• Measuring Length
• Metric Unit Conversion
• Customary Unit Conversion
• Temperature
• More Measurement Worksheets
• Writing Checks
• Profit and Loss
• Simple Interest
• Compound Interest
• Tally Marks
• Mean, Median, Mode, Range
• Mean Absolute Deviation
• Stem-and-leaf Plot
• Box-and-whisker Plot
• Permutation and Combination
• Probability
• Venn Diagram
• More Statistics Worksheets
• Shapes - 2D
• Shapes - 3D
• Lines, Rays and Line Segments
• Points, Lines and Planes
• Transformation
• Quadrilateral
• Ordered Pairs
• Midpoint Formula
• Distance Formula
• Parallel, Perpendicular and Intersecting Lines
• Scale Factor
• Surface Area
• Pythagorean Theorem
• More Geometry Worksheets
• Converting between Fractions and Decimals
• Significant Figures
• Convert between Fractions, Decimals, and Percents
• Proportions
• Direct and Inverse Variation
• Order of Operations
• Squaring Numbers
• Square Roots
• Scientific Notations
• Speed, Distance, and Time
• Absolute Value
• More Pre-Algebra Worksheets
• Translating Algebraic Phrases
• Evaluating Algebraic Expressions
• Simplifying Algebraic Expressions
• Algebraic Identities
• Quadratic Equations
• Systems of Equations
• Polynomials
• Inequalities
• Sequence and Series
• Complex Numbers
• More Algebra Worksheets
• Trigonometry
• Math Workbooks
• English Language Arts
• Summer Review Packets
• Social Studies
• Holidays and Events

7th Grade Math Worksheets

Ease into key concepts with our printable 7th grade math worksheets that are equipped with boundless learning to extend your understanding of ratios and proportions, order of operations, rational numbers, and help you in solving expressions and linear equations, in describing geometrical figures, calculating the area, volume and surface area, finding the pairs of angles, and getting an insight into statistics and probability and much more! Instantly evaluate with our answer keys. Give our free grade 7 math worksheets a try and head over for more!

Select Grade 7 Math Worksheets by Topic

Explore 3,600+ Seventh Grade Math Worksheets

Writing the Equivalent Ratios

Create equivalent ratios that express the same relationship by multiplying the first and second term of the ratio by the same number. Also, complete the table with equivalent ratios.

• Download the set

Adding Integers Using Number Lines

Open doors to adding integers with our grade 7 math worksheet pdfs. Students start with the first addend, draw as many hops as the other addend toward the right or left on the number line, and find the sum.

Exponents and Operations

Take your skills in applying the order of operations up a notch as you evaluate the expressions involving fractions with positive and negative exponents.

Solving for 'x' | Side Lengths of Rectangles

With this set of printable 7th grade math worksheets, your students are well-equipped to practice setting up an equation with the indicated lengths, rearranging the equation, making 'x' the subject, and solving.

Enlarging or Reducing Shapes Using the Scale Factor

Find the dimensions of the figures on the grid, sketch the shapes on the grid, enlarging or reducing the original shape as instructed, multiplying the dimensions with the given scale factor.

Finding the Area of a Circle Using the Radius

Prepare students in grade 7 in finding the area of a circle using this printable collection of worksheets offering oodles of practice. Plug in the radius in the formula A = π * r 2 to find the area of the circle.

Area of Rectangles | Unit conversion

Make the units in the dimensions uniform by converting them to the units specified in the answer, multiply the length and width, and calculate the area of each rectangle.

Surface Area of Rectangular Prisms | Unit Squares

Finding the surface area doesn't feel like a chore with our 7th grade math worksheet pdfs. Count the number of unit squares on each of the six faces of the rectangular prism, multiply by the scale and add.

Finding Complementary Angles

Two angles are complementary if they add up to 90°. Subtract the angle from 90° to find its complement, state whether each given angle pair is complementary and find the measure of the unknown angle.

Comparing Mean Absolute Deviations

Perfect for calculating the mean absolute deviation or MAD of the two data sets using the formula, ∑|x i - x̅|/n, and comparing them, these printable math worksheets are a must-have for your grade 7 learners.

Forming a Proportion

A proportion is nothing but two ratios equivalent to each other. Form a proportion by identifying the four numbers that can be set up as a pair of equivalent ratios from the given set of 5.

Adding Integers

Rich with scads of practice, this set of math worksheet pdfs for 7th grade learners helps them add two integers with the same sign and subtract those with different signs, and figure out the sum instantly.

Squaring Numbers | Fractions

Multiply the given fraction by the same fraction to obtain its square. Convert the product to mixed numbers if required, and also identify the square of the given fraction from a pool of options.

Finding Side Lengths of Triangles Using the Perimeter

Our printable grade 7 math worksheets are an add-on to your practice in computing the side lengths of a triangle by equating the sum of linear expressions with the given perimeter, and solving for x.

Scale Factor | Perimeter and Area of Similar Figures

Upgrade your skills in calculating the area or perimeter of the original or dilated image using the scale factor and comprehend the impact of the scale factor on the ratio of areas and perimeters with these pdfs.

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7th Grade Mathematics Worksheets: FREE & Printable

Looking for FREE printable 7th-grade math questions and exercises to help your students review and practice 7th-grade mathematics concepts?

Need Mathematics Practice questions to measure your 7th-grade student’s exam readiness? If so, then look no further.

Here is a comprehensive collection of free exercises and worksheets that would help your students for 7th Grade Math preparation and practice.

Download our free Mathematics worksheets for the 7th Grade Math.

You can download free 50+ 7th Grade Math Worksheets  from Bytelearn.

Hope you enjoy it!

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Mastering Grade 8 Math The Ultimate Step by Step Guide to Acing 8th Grade Math

7th grade mathematics concepts, fractions and decimals.

• Simplifying Fractions
• Adding and Subtracting Fractions
• Multiplying and Dividing Fractions
• Adding and Subtracting Mixed Numbers
• Multiplying and Dividing Mixed Numbers
• Adding and Subtracting Decimals
• Multiplying and Dividing Decimals
• Comparing Decimals
• Rounding Decimals
• Factoring Numbers
• Greatest Common Factor
• Least Common Multiple

Real Numbers and Integers

• Adding and Subtracting Integers
• Multiplying and Dividing Integers
• Order of Operations
• Ordering Integers and Numbers
• Integers and Absolute Value

Proportions, Ratios, and Percent

• Simplifying Ratios
• Proportional Ratios
• Similarity and Ratios
• Ratio and Rates Word Problems
• Percentage Calculations
• Percent Problems
• Discount, Tax and Tip
• Percent of Change
• Simple Interest

Algebraic Expressions

• Simplifying Variable Expressions
• Simplifying Polynomial Expressions
• Translate Phrases into an Algebraic Statement
• The Distributive Property
• Evaluating One Variable Expressions
• Evaluating Two Variables Expressions
• Combining like Terms

Equations and Inequalities

• One-Step Equations
• Multi-Step Equations
• Graphing Single–Variable Inequalities
• One-Step Inequalities
• Multi-Step Inequalities

Systems of Equations

• Systems of Equations Word Problems
• Quadratic Equation

Linear Functions

• Finding Slope
• Graphing Lines Using Line Equation
• Writing Linear Equations
• Graphing Linear Inequalities

Exponents and Radicals

• Multiplication Property of Exponents
• Zero and Negative Exponents
• Division Property of Exponents
• Powers of Products and Quotients
• Negative Exponents and Negative Bases
• Scientific Notation
• Square Roots

Geometry and Solid Figures

• Pythagorean Relationship
• Rectangular Prism
• Pyramids and Cone

Statistics and Probability

• Mean and Median
• Mode and Range
• Stem–and–Leaf Plot
• Probability Problems
• Combinations and Permutations

The Best Book to Ace 7th-Grade Math Concepts!

Mastering Grade 8 Math Word Problems The Ultimate Guide to Tackling 8th Grade Math Word Problems

7th grade math exercises, proportions and ratios, polynomials, solid figures.

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The Best Books to Ace the Math Test!

Mastering Grade 6 Math Word Problems The Ultimate Guide to Tackling 6th Grade Math Word Problems

Mastering grade 5 math word problems the ultimate guide to tackling 5th grade math word problems, mastering grade 7 math word problems the ultimate guide to tackling 7th grade math word problems.

by: Effortless Math Team about 4 years ago (category: Blog , Free Math Worksheets )

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Mastering Grade 5 Math The Ultimate Step by Step Guide to Acing 5th Grade Math

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7 th Grade Math Worksheets

Free, Printable Math Worksheets for at-home Practice

A Parent’s Guide to Seventh Grade Math + Practice Worksheets

Download this informative guide to learn how to best support your seventh grader as they learn and master important seventh grade math concepts.

Free Practice Worksheets

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Click on a concept below to try a sample question

Ratio & Proportion

Number system.

Probability

Why 7th grade math worksheets are important.

A stated objective of Common Core State Standards (CCSS) is to standardize academic guidelines nationwide. In other words, what Seventh Graders learn in math in one state should be the same as what students of the same age are learning in another state. The curricula may vary between these two states, but the general concepts behind them are similar. This approach is intended to replace wildly differing guidelines among different states, thus eliminating (in theory) inconsistent test scores and other metrics that gauge student success.

An increased focus on math would seem to include a wider variety of topics and concepts being taught at every grade level, including Seventh Grade. However, CCSS actually calls for fewer topics at each grade level. The Common Core approach (which is clearly influenced by “Singapore Math”—an educational initiative that promotes mastery instead of memorization) goes against many state standards. Many states mandate a “mile-wide, inch-deep” curriculum in which children are taught so much in a relatively short time span, that they aren’t effectively becoming proficient in the concepts they truly need to understand to succeed at the next level. Hence, CCSS works to establish an incredibly thorough foundation not only for the math concepts in future grades, but also toward practical application for a lifetime.

How Our Seventh Grade Math Worksheets Reflect Common Core Standards

In Seventh Grade, CCSS recommends that instructional time should focus on four critical skills. Thinkster worksheets for seventh grade have been designed to cater to these skills:

• Developing understanding of and applying proportional relationships
• Developing understanding of operations with rational numbers and working with expressions and linear equations
• Solving problems involving scale drawings and informal geometric constructions, and working with two- and three-dimensional shapes to solve problems involving area, surface area, and volume
• Drawing inferences about populations based on samples

7th Grade Math Worksheets: Critical Areas of Focus

Seventh grade is very much a transition year for math. Much will be expected this year from students—after all, this is middle school, and the level of instruction, as well as the level of expectations, has increased. Yet, seventh graders will also discover that their hard work in previous years has left them well-prepared for this year’s math. For example, the concepts of ratio and unit rates introduced in seventh grade evolve into calculating the constant of proportionality in tables, graphs, equations, and diagrams in seventh. Here are four critical areas of focus, straight from Common Core, that will be emphasized in seventh grade:

Proportional Relationships

As already stated, ratios and proportions are a fluency requirement for seventh grade. Some of the focus will include real-world situations such as tax, discounts, tips, and other percentage problems. Students will solve problems about scale drawings, will graph proportional relationships and learn about slope, and distinguish proportional relationships from other relationships.

Rational Numbers, Expressions and Linear Equations

Students will understand that fractions, decimals, and percentages are different representations of rational numbers. Furthermore, they will extend their mastery of the four basic operations (addition, subtraction, multiplication, and division) to rational and negative numbers as well as expressions and equations involving one variable.

Scale Drawings, Informal Geometric Constructions, and Cross Sections of Twoand Three-Dimensional Shapes

Seventh graders will continue to work with area, including circumference and the surface area of three-dimensional objects. Congruence and similarity are on the horizon in Grade 8, and to prepare for that, students will reason about relationships using scale drawings and informal geometric constructions, as well as the relationship between angles and intersecting lines. They will also work with three-dimensional figures by examining two-dimensional cross sections, and they will solve real-world problems involving area, surface area, and volume.

Drawing Inferences on Populations Based on Samples

Having previously worked on single data distributions in Sixth Grade, seventh graders will compare two data distributions and answer questions about the differences of the populations. Also, they informally will work with random sampling to generate data sets and learn about drawing inferences based on representative samples. Seventh Grade : Introduction, Common Core State Standards Initiative. -->

Overview of Seventh Grade Math Topics

Though they may have seem detailed, the four areas of focus presented in the previous section are more just starting points of what seventh graders can expect during this crucial school year. From those areas, teachers and students will delve into more specific concepts that will prepare kids for eighth grade math and beyond. The five topics presented here, taken directly from CCSS 4 itself, include some details on what kids will be taught in seventh grade.

Ratios and Proportional Relationships

• Analyze proportional relationships and use them to solve realworld and mathematical problems. By the end of seventh grade, students will become experts in ratios and proportions. The concepts and activities in store for them include:

• Computing unit rates of ratios associated with fractions. For example, if you swim 1/4 of mile in 1/10 of an hour, a complex fraction of 1/4 / 1/10 miles, or 2.5 miles, per hour can be computed.
• Deciding whether two quantities are in a proportional relationship. This can be achieved by testing for equivalent ratios in a table or graphing on a coordinate plane and looking for a straight line through the origin.
• Identifying the constant proportionality—the unit rate—in tables, graphs, equations, diagrams, verbal descriptions, and word problems.
• Representing proportional relationships by equations. For example, if the total cost (t) of something is proportional to the number of items purchased (n) at one constant price (p), the relationship between the total cost and the number items can be described as t=pn.
• Explaining what a point (x,y) on a graph of a proportional relationship means in terms of the situation, especially to the points (0,0) and (1,r) in which r is the unit rate.
• Using proportional relationship to solve multi-step real-world problems. For example, if you paid $50 at a restaurant, and that total included a 20 percent tip, how much did you just pay for dinner itself before tipping?

Seventh Grade: Introduction, Common Core State Standards Initiative.

The Number System

• Apply and extend previous understandings of operations with fractions. Rational numbers also are emphasized with this topic, and students will understand how the additive property intertwines with this concept. Some areas taught include:

• Adding and subtracting rational numbers (any number that can be written as a simple fraction, in which the denominator is not 0), and, from students’ understanding of fractions, applying these operations by using a number line.
• Describing situations in which opposite quantities combine to make 0, which is an additive inverse. For example, spending $50 to pay off a negative account balance of -$50 to reach 0.
• The knowledge of absolute value is extended: Understanding that p+q as the number located a distance |q| from p in a positive or negative direction (depending on if q was positive or negative).
• Understanding that subtracting rational numbers is the same as adding the additive inverse. For example, 7 - 4 = 7 + (-4).
• Dividing and multiplying rational numbers, and understanding that (-1)(-1)=1 and that -(p/q) = (-p)/q = p/(-q).
• Converting a rational number to a decimal using long division, and the concept of repeating decimals.
• Solving real-world problems involving rational numbers using the four basic operations.

Expressions and Equations

• Use properties of equations to generate equivalent expressions. Students will apply properties of operations to add, subtract, factor, and expand linear expressions with rational coefficients. Also, they will discover that rewriting an expression or equation in a different form (for example, x + 0.1 = 1.1x is the same as increasing a number by 10 percent and is the same as multiplying by 1.1) can lead them to a better understanding of the problem at hand

• Solve real-life mathematical problems using numeric and algebraic expressions and equations. The algebra continues. Seventh graders will learn to:

• Solve multi-step word problems with positive and negative rational numbers in any form (fractions, decimals, and whole numbers), and convert between forms when necessary (for example, if a business saw its profits increase by 10 percent in a year, it made 1/10 more money than last year).
• Solve word problems that lead to equations such as px+q=r or p(x+q)=r, in which p, q, and r are rational numbers. Student s will also learn to compare the algebraic solution to an arithmetic solution and identify the series of operations in each approach—for example, if a rectangle has a perimeter of 30 inches and a length of 10 inches, what is the area?
• Solve word problems involving inequalities; for example, a word problem that leads to the equation 2x + 5 < 25, so x < 10. Also, seventh graders will graph solution sets for inequalities—for example, if a pizza delivery driver makes $100 a week plus $2 per pizza, a student could graph how many pizzas the driver would need to deliver to make $175

• Draw, construct, and describe geometrical figures and describe the relationship between them. Students will solve problems involving scale drawings of geometric figures, will draw geometric shapes (by hand, with a ruler and compass, and with technology) with given conditions, and will describe two-dimensional figures resulting from slicing three-dimensional figures such as pyramids and rectangular prisms.

• Solve real-life and mathematical problems involving angle measure, area, surface, and volume. Seventh graders will master the formulas for area and circumference of circles and use this knowledge to solve problems. They will also work with different types of angles (supplementary, complementary, vertical, and adjacent) and solve problems involving volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.

Statistics and Probability

• Use random sampling to draw inferences about a population. Students will understand that statistics can be used to gain information about a population, and they will also be taught about random sampling. Furthermore, seventh graders will gather data from a random sample to draw inferences about a population with an unknown characteristic. For example, if a classroom has three more girls than boys in it, make an estimate about how many more girls are at the entire school.

• Draw informal comparative inferences about two populations. Simply put, students compare two groups and arrive at conclusions, including inferences based on variability. For example, if one cross country team averages 9-minute miles during practice and a second team averages 10-minute miles, what will happen if a runner logging 7-minute miles switches from the first team to the second?

• Investigate chance processes, and develop, use, and evaluate probability models. Though it may not appear so at first glance, probability nicely ties in to many other topics seventh graders are being taught. Among the concepts explored:

• Understanding that the probability of an event lies somewhere between 0 and 1— with near 0 being unlikely, around 1/2 as about even odds, and near 1 as likely.
• Collecting data to approximate the probability of a chance event. For example, rolling a die 300 times and estimating a 6 will come up about, but likely not exactly, 50 times.
• Developing a model for probability and explaining its results and discrepancies.
• Using organized lists, tree diagrams, tables, and simulation to arrive at probabilities of compound events. For example, if half of the students in a classroom have brown eyes, what is the probability that if you pick a random eight kids, five will have that eye color?

Surviving Middle School Math

Junior high is a crazy time for many students. Many self-contained middle schools (schools that aren’t K-8) present unique challenges academically and socially. The homework load is greater, the routines are completely different, and kids that seemed so young just a couple years earlier are now ... teenagers. Moreover, 67 percent of middle school teachers feel that math is the toughest subject for students to re-engage in after summer break, and 50 percent added that kids' math skills regress more than any other school subject. Combining these factors creates a situation daunting for students and parents alike. And perhaps nowhere is the challenge more acute than with middle school math. However, there’s no reason why students can’t thrive during these two critical years. What follows are several tips for middle schoolers and their parents to help them through this part of their math education.

Middle School Study Tips

• Be cool If you have been looking through this guide at the topics you can expect to learn for this school year, you may be understandably intimidated. However, the way Common Core is designed, you will get plenty of instruction, practice, and reinforcement with one concept before moving on.

Furthermore, you will discover that becoming good at a certain topic sets you up to succeed at the next. In many previous math curricula, teachers would move onto the next concept before many students felt they had mastered the last one. With Common Core, you can be confident you’ll be ready for whatever lies ahead.

• Practice When You Are Not Tired The homework loads of many students increase in middle school. However, your math capabilities are better suited for when you are most alert and less tired. Therefore, try to work on math homework in the later afternoon or early evening when you are at your freshest after school. Getting all your homework completed is important, but reading a book for a literature class won’t require the computing power from your brain that math will.

• Read the Question You might encounter math problems that appear intimidating, both on first glance and after you’ve read the question. No need to worry: Almost everything being thrown at you is stuff you have learned or are currently learning. Clear your mind and read the question again. Break down the problem by writing all the given information and relevant numbers. From there, work your way through the question on your path to the answer. Once you master this process, all those intimidating problems won’t seem so frightening.

• Check Your Work One helpful aspect of solving algebraic equations is that checking your work is easy: Simply plug in the answer into the variable of the original problem and do the math. This is a good habit to start with your homework because if you made a mistake, you have time to figure out what went wrong, which will help you all the more in the future. Furthermore, once you are proficient in checking your work accurately and quickly with your homework, you will naturally do the same on tests, possibly (and hopefully!) resulting in better grades because you are catching your mistakes before handing the test in.

• Keywords, Keywords, Keywords! One math strategy you likely learned in elementary school is to look for keywords when solving word problems. Keywords are simply clues within a word problem that guide you toward a solution. This strategy is just as applicable in middle school as it was when you were younger, maybe even more so as you work to solve multi-step problems. Moreover, with new concepts you are learning, a new set of words will be entering your math vocabulary. Look for terms such as save, rate, per, proportion, percentage, and compare in middle school word problems.

• Skip the Calculator You will encounter plenty of math in the coming years (especially in trigonometry and pre-calculus) that will require the use of a calculator. At this level, however, you should know how to perform almost every required operation without technological help. Skipping the calculator and figuring out problems by hand (for example, computing circumference by multiplying by 3.14) keeps your skills sharp, shows the teacher you are taking time to solve problems instead of taking a shortcut, and prepares you for tests on which a calculator isn't allowed.

• Math Everywhere Much of the math you are learning now can extend to rest of your life. Look for opportunities to practice your skills outside of school. For example, if you are watching a football game and see that a quarterback has completed 15 of 24 passes, try converting that number to a fraction and a percentage. Or, figure out what percentage a $5 tip on a $27 haircut is. Your math skills will help your realworld skills that when sharp, will improve your in-school math skills in turn.

• Ask for Help If you find yourself struggling with a specific concept or with math in general, by all means, seek help from your teacher. Educators want you to succeed, and they will do whatever they can to help you do so … but sometimes, you have to ask. Also, don’t be afraid to tell your parents that you are having a rough time. Most adults remember how challenging middle school math was, and your parents can provide encouragement, work with you and your teacher, or explore other options to get the help you need to succeed.

Parent Tips

Parenting a 12, 13, or 14 year old is already quite a task. Navigating middle school math only increases the challenge, as well as your possible level of stress. Arguing with your child about school work is counterproductive, so staying calm and working positively with him or her is essential, no matter how frustrated you may get. The time parents get with their growing children is short enough; you don’t want to spend the middle school years in a constant battle with your kids. Take a deep breath—you will survive math during these years. Here are some tips to keep your sanity along the way:

• Be cool This is sage advice for parents as well as students. The level of math education you and your child encounter in middle school is unlike anything you may have experienced before. Yet, students this age are ready to take their learning to another level the curricula wouldn’t include such content if they weren’t capable. Though there may be bumps along the way, your child can still reach the destination.

• Relearn the Math One reason parents are apprehensive to engage their middle schooler with his or her math homework is that they might be a few decades removed from the math itself. Most parents remember how to multiply, but they might not have a clue how to solve two variable inequalities. Middle school math isn’t so difficult that adults can’t relearn the concepts. Many websites are available that describe a variety of math topics, or if you can sneak in 20 minutes here and there, read your student’s textbook (just don’t let your kids catch you!). Once you understand the math a little more, you will be better able to help your child when he or she is struggling.

• Understand Common Core Irrespective of your opinions about Common Core, more than likely, your kids are learning in a curriculum following the standards. Therefore, understanding the goals, guidelines, and structure of CCSS ultimately will help as you support your middle schooler through these years of math. For example, your child may be learning methods and strategies to solve a problem that you have never encountered. Your first inclination might be to dismiss these approaches and not offer any support. However, knowing that Common Core aims to provide multiple methods so that students achieve a well-rounded mastery will give you clarity on why your child is learning something a certain way … and it may inspire you to learn this new strategy as well.

• Drill for Skills Find opportunities for your middle schooler to practice math outside of his or her schoolwork. Challenge your daughter to compute tips. Direct your son to figure out what percentage of a gallon of gas is tax (the tax price is usually on the pump). If you are stuck in traffic or driving to an afterschool activity, rapid-fire some problems and equations, such as converting fractions to decimals. A couple extra minutes here and there keeps kids’ minds actively focused on math skills, which will be sharpened for when they are testing or doing homework.

• Become Involved If you are concerned with how Common Core is being implemented at your school, the amount of homework being given, or anything else in the math classroom, then you should absolutely get involved. Talk to teachers and administrators. Attend committee meetings. Research the subject that has you concerned. Parents naturally will have opinions about the quality of their children’s education. Those opinions can affect dialogue and solutions, but only if you take action. Your middle schooler is working hard to get the best education possible. There’s no reason you shouldn’t do the same for your child.

• Seek Help for Your Child If your middle-schooler is consistently struggling with math, your first step should be to talk to his or her teacher, who can provide guidance on how those struggles can be overcome. From there, another step you might consider is finding outside help your child. Several online resources provide math tutelage, including worksheets and sample tests that conform to Common Core standards. Tutoring might be an option, too. Innovative iPad-based math software has emerged that combines the personalized approach of a tutor with today’s technology. These revolutionary programs also may feature a curriculum based on Common Core, thus ensuring your child’s learning at home is aligned with what he or she is learning at school

Tips for Helping Your Seventh Grader with These Seventh Grade Math Worksheets

In addition to the grade-specific standards it sets forth, Common Core also emphasizes eight “Standards of Mathematical Practice” that teachers at all levels are encouraged to develop in their students. Here are descriptions of these eight practices—designed to improve student performance—and how they apply to middle schoolers:

Make sense of problems and persevere in solving them

Students explain the problem to themselves and determine ways they can reach a solution. Then, they work at the problem until it’s solved. By middle school, for example, many word problems are multi-step, requiring more than one operation on the way to an answer. Students must take care to determine what these steps are, decide what strategies (including correspondences between equations, verbal descriptions, graphs and tables, and looking for regularity and trends) will be necessary to solve the problem, and work toward the solution.

Reason abstractly and quantitatively

Students decontextualize and contextualize problems. By decontextualizing, they break down the problem into anything other than the standard operation. By contextualizing, they apply math into problems that seemingly have none. Middle-schoolers who are decontextualizing may envision a fraction or decimal into unit rates—for example, a student working with the fraction 3/8 might picture three squares across a chessboard—to help solve a problem. Students who are contextualizing might break a polygon into several smaller shapes in order to compute the total area.

Construct viable arguments and critique the reasoning of others

Students use their acquired math knowledge and previous results to explain or critique their work or the work of others, analyzing and using counterexamples as necessary. Most middle-schoolers have already learned how to work with classmates to achieve a goal. Students might be encouraged not only to work with a group to solve a particularly challenging math problem, but also to present and explain their solution to the teacher and the class.

Encourage them to show their work

This suggestion can be read two ways. First, students will be encouraged to show how they arrived at an answer, especially within Common Core. Second, ask your children to show you their homework, particularly the challenging stuff. Explaining how a problem is solved is a basic CCSS tenet, so if your kids can be confident in explaining their work to you, they will carry that confidence into the classroom when the teacher asks for those same explanations.

Model with mathematics

This is just like it sounds: Students use math to solve real-world problems. For example, a national department store chain offers sales either in the form of percentages off retail price and by a flat dollar amount savings (and sometimes both). Middle-schoolers can use their knowledge of ratios and percentages to determine from which sales method they will save more.

Use appropriate tools strategically

Another self-explanatory practice: Students learn and determine which tools are best for the math problem at hand. For older kids, the tools may seem obvious—pencil, paper, calculator, protractor, and so on—but knowing when to use what is important. For example, graph paper can be a big help when solving variable inequalities.

Attend to precision

Students strive to be exact and meticulous—period. The math vocabulary introduced to middle-schoolers rapidly expanding, so students must be precise in their words as well as their numbers. Consider this example: An equation (x=1) is different than an expression (x-1) and an inequality (x>1). Middle-schoolers who know these definitions will have an easier time when working with the corresponding concepts.

Look for and make use of structure

Students will look for patterns and structures within math and apply these discoveries to subsequent problems. Take the equation x +5=10; to get an answer, 5 must be subtracted from both sides. This basic algebraic structure will apply to almost all equations middle-schoolers will encounter, no matter the operation or the number of variables. Once students recognize and master this structure, they will automatically think about both sides of the equation when solving.

Look for and express regularity in repeated reasoning

Students come to realizations—“aha” moments is a good term for these realizations—about the math operations that they are performing and use this knowledge in subsequent problems. For example, middle-schoolers may discover that tipping 15 percent is an easy computation: Figure out 10 percent of the bill, then take half of that and add to get 15 percent. In no time, they will want to figure out the tip when you are at a restaurant. 6 Standards for Mathematical Practice, Common Core State Standards Initiative. -->

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Common Core - State Standards Initiative

• Students learn about ratios, mixed properties, statistics and other seventh grade skills.
• Teachers incorporate the use of the scratchpad to give students a visual representation.
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Strengthen critical seventh grade reading skills and advanced math skills with lesson plans, 7th grade worksheets, and complex texts on a variety of topics. Cross-curricular resources help students begin to make deeper connections between concepts, connect famous people to history and literature, and understand real-world applications for math.

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7th Grade Common Core Worksheets

The Common Core State Standards (CCSS) for English Language Arts (ELA) provide a framework of educational expectations for students in reading, writing, and other language skills. The goals of the CCSS ELA are broken out by grade and subject area, including Reading: Literature, Reading: Informational Text, Writing, Speaking and Listening, and Language, as well as expectations in additional subject areas such as science and technology, history, and further writing areas. Seventh and eighth graders are expected to master reading and analyzing fiction and non-fiction books, be able to execute complex writing and grammar skills, branch out into new technologies and collaborations in their oral presentations, and continue to deepen the complexity of their reading choices. See the subheadings for each ELA category for more information on the specific expectations for students.

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7th grade reading: informational text, 7th grade reading: literature, 7th grade speaking and listening, 7th grade writing.

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A Magical Homeschool

A hands-on, joy-led home education

Free curricula in every subject for your 7th grader

Homeschooling in the middle school years doesn’t have to be expensive. There are many outstanding curricula for math, science, history, language arts and more that are absolutely free .

Here are some of the best free resources for 7th graders in each subject.

Note: This is a tiny fraction of what’s available online for free but I’ve narrowed it down to a few good programs rather than listing a hundred web sites to wade through.

In cases where I have written up articles about the programs, I’ve linked to those articles for more in-depth information.

Khan Academy is one of the most used math sites in the world, for good reason. Kids can learn about math, science and technology (plus more) from early elementary levels to the college level and beyond. “Knowledge maps” let you easily track your child’s progress. Here’s how one homeschooling parent uses Khan Academy for her 7th grader.

MS Math 7th Grade is an online textbook with graphics and activities offered by the Georgia Department of Education as part of their shared content. Topics include numbers and operations, geometry, algebra, data analysis and probability.

Math Drills offers tons of great math practice worksheets free to print for 7th grade math subjects such as geometry and algebra .

Cool Math offers all kinds of easy to understand algebra games and lessons.

Free Math Help also has some very easy to understand algebra lessons.

Math Planet offers a comprehensive free online math curriculum for high school, starting with pre-algebra.

• Free algebra games, lesson plans and curricula for all ages
• Free fantasy game makes math fun for kids
• Math Live uses cartoon format to teach kids math (free!)
• 10 Sneaky ways to improve your child’s math abilities
• CK12 Foundation offers complete math and science textbooks online — free

Social Studies:

World History for Us All is a nine-unit curriculum that focuses on the entire span of human history and beyond. It is geared towards middle school and/or high school grades.

Crash Courses use entertaining You-Tube videos to teach world history with lots of graphics and humor. Young adult fiction author John Green presents the videos, with the help of a research team that includes his high school history teacher.  The courses have now been expanded to include American History, World History I and II, and Government, among other topics.

Supplements:

National Geographic News is a great daily source of geography and world news.

Teaching Tolerance offers middle school lesson plans on subjects such as bullying, injustice, civil rights, censorship, poverty and activism.

• Lizard Point offers fabulous geography tools for teachers (FREE)
• Harmony Art Mom offers excellent world geography curriculum (free!)
• Free 52-week Western history video course offered online
• You-tube’s Music for History Lovers channel uses modern music to teach history
• Ten incredibly fun ways to teach history in your homeschool
• Fabulous projects to get kids hooked on social studies

Middle School Chemistry is one of the most popular science programs for 7th grade. The American Chemical Society offers this entire 700-page chemistry curriculum with online lessons, a free downloadable book, activity sheets, hands-on activities and lots more for free .

My Science Box is no longer online but it can be accessed through the Internet Archive here .  This great resource offers 4-6 week science units complete with lesson plans, activities and printouts. In addition, ideas are offered individually for classroom activities, labs, projects, field trips, assessments, computer activities, outdoor activities and more.

MS Science 7th Grade is an online textbook with graphics and activities offered by the Georgia Department of Education as part of their shared content. Topics include cell structure, ecosystems, energy, genetics, reproduction and evolution.

Crash Courses has wonderful videos available for astronomy, biology, chemistry, ecology and more.

• NIH offers science curricula FREE online or through the mail
• Amoeba Sisters teach biology through fun videos and free handouts
• Free physics comic books and coloring books
• SDSU offers excellent free K-8 biology curriculum
• National Academies Press offers free evolution books online
• EarthCache provides fantastic science adventures for nature sites all over
• New neuroscience journal is edited by kids, for kids
• Free science magazines for middle schoolers! (coming soon)

Language Arts :

KISS Grammar is a free online program that is very thorough but it can be a little tricky to navigate at first. Here is one homeschool mom’s introduction to the program.

Daily Grammar has archives of over 440 short, easy lessons and 88 quizzes.

Internet 4 Classrooms offers links for kids to learn about and practice all sorts of 7th grade language arts concepts such as analogies, grammar review, punctuation, proofreading, sentence structure, comprehension, fact versus opinion, and so on. Links are thorough and updated often. Click on review to view more than a dozen language arts tests for 7th grade to help identify areas in need of work, as well.

MS LA 7th Grade is an online textbook with graphics and activities offered by the Georgia Department of Education as part of their shared content. Topics include the writing process, The Outsiders (discussion of plot, setting and so on based on reading the novel), conventions, poetry and nonfiction.

NaNoWriMo Young Writers’ program offers a free middle school young writers’ curriculum and free workbooks containing over 100 pages to help kids hone their writing skills.

Recommended reading lists for 7th graders can be found on sites like Good Reads and Pragmatic Mom . It’s generally helpful to compile a longer list and let kids pick from the list. Aim to check a few out from the library at a time for kids to choose from, and be sure your child reads a mix of historic fiction, non-fiction, biographies, current reads and some that are just plain enjoyable.

• How to help your child love to write
• Shakespeare Fortune Teller! (and lots more Shakespeare fun)
• Great sites help kids and teens pick which book to read next
• Kids can earn free T-shirts and certificates from MENSA for Kids for reading
• 18 Magazines that publish art and writing by kids and teens
• The complete 10-week Poetry for Kids course (coming soon)
• 25 Free writing sites for prompts, exercises, lesson plans and more (coming soon)

Fine Arts :

Artists and Their Art is a free art history curriculum offered for download in PDF form from Concordia University Chicago.

Smarthistory is now offered at Khan Academy and features over 500 video art history lessons.

• NGA provides incredible free lending library of art education resources

Foreign Languages:

Memrise is a great web site that helps students learn languages such as German, French, Spanish and Japanese.

Duolingo is another very popular web site for learning many languages.

Japanese: Irrasshai is an excellent online series by PBS.

Spanish: I’ve listed many great Spanish resources in Fabulous FREE resources for Spanish language learning for all ages .

Latin: I featured more than a dozen books and resources in  Free Latin classes and resources for all ages and Free Latin books and more online (coming soon) .

You can also find lessons to learn just about any foreign language in Students can use free public domain classes to learn over 40 languages (coming soon).

Physical Education:

While no formal curriculum is needed for PE, this may be helpful in keeping your 7th grader active and physically challenged in fun ways.

• 50 Ways homeschoolers can get physical education

Full Curriculum:

Ambleside Online is a free Christian homeschool curriculum designed to be as close as possible to the curriculum that Charlotte Mason used in her own private and correspondence schools. Ambleside Online uses high quality books that you can find at your library or free online. The program also has support groups.

• WatchKnowLearn offers thousands of free educational videos for kids
• PBS releases new free K-12 app for the iPad
• KIDS DISCOVER offers fabulous free resources

Also see these articles for more resources and information:

• A Montessori education for middle school years
• New to homeschooling? What you need to buy right now
• Web site provides links to hundreds of free lessons (coming soon)
• Scope and sequence lists for every grade (coming soon)

Remember not to stress about covering everything and doing it all. Involve your 7th grader in planning the year and choosing good fiction and non-fiction books to read. Spend time in nature. Work on life skills like cooking, gardening and building. Most of all, be sure to allow for lots of time for your child to explore his or her own interests.

Seventh grade is a time of transition for kids, and you may need to alter the way you homeschool in order to meet the needs and interests of your changing child. The more say your child has in homeschooling, the easier and more enjoyable it will be for everybody.

Have a great year!

Note:  This article originally appeared in my homeschooling column at examiner.com.  That site stopped operations in 2016 and  I have tried to move all of my articles here so they can continue to be helpful for homeschooling families.  I tried to check and update all of the links provided here when I reposted it (September 2018).  Please let me know if you find any outdated or broken links. 

Some of the articles referenced in this post are not up here yet but should be soon.  Holler if you would like me to post a certain one soon and I’ll try to it next.  🙂 

— Alicia

Post Author: A Magical Homeschool

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Help your child thrive: Back-to-school homework strategies

Orlando, Fla. (Ivanhoe Newswire) - A study of the largest urban school districts in the U.S. found that students take an average of 112 standardized tests between pre-K and 12th grade. While some students excel at test-taking, others can get stressed out.

A Washington Post study found high schoolers spend almost three hours a night studying. Experts say the right environment is key.

“Students need to learn in a state that is optimal for learning,” said Demetrie Luke, tutor and founder of Inlighten Tutoring.

Be sure to study in a space without distractions. The more multi-tasking students do, the slower their brains process information. Next, find ways to motivate them.

“It’s not just consumable things, money or this or that. Sometimes it’s just once again, attention from a loved one, right,” Luke said.

Encourage them to take practice tests. One study found students who had brief retrieval practice tests before a high-stakes test remembered 60 percent of the material, while those who only studied remembered 40 percent.

A Texas A&M study found repeating information out loud moves content from short-term to long-term memory. Also, avoid all-nighters. Cognitive performance is controlled by our body clocks, meaning our learning and memory is higher in the morning, not at night. Instead, get a good night’s sleep and study in the morning.

And don’t forget to celebrate the wins.

“The more wins that we can build into young people studying, the more likely they are to show up for studying, right? A win can simply be, either words of affirmation or just even just acknowledgment,” Luke said.

Also, try having your student teach the study material to you. Explaining it to someone else will help them remember it better, and if they’re struggling to remember something, have them look it up right away. Research shows spending too long trying to recall material can train their brains to struggle when answering a particular question.

Contributors to this news report include: Julie Marks, Producer; Bob Walko, Editor

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Copyright 2024 WNEM. All rights reserved.

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'Consistency': Toronto school board salutes three Grade 12 students who averaged more than 99.5 per cent

For many students, graduating high school with a decent average is a feat in itself.

But for three hard-working Toronto high school students this year, decent meant leaving almost nothing on the table.

The Toronto District School Board this week revealed the three graduating Grade 12 students who scored the top averages across all public high schools in the city for the 2023-2024 academic year.

Just 0.2 percentage points separate the three, making it an Olympic-style finish.

Arisha Mahey of Northview Heights SS scored an average of 99.6 per cent, while Emma Brijlall Nakahara, who attended Virtual School, came in at 99.7 per cent. Jarvis CI student Elina Tabrizi was the TDSB's top student this year, with an average of 99.8 per cent.

Speaking with CP24 Wednesday morning, Tabrizi boiled her success down to a word: consistency.

"I would say, consistency with maintaining the same studying routine throughout the years," Tabrizi said when asked how she accomplished the enviable average. "I think that's the main thing that helped me."

She said it was helpful when she discovered that she studied best late at night or as early as 5 a.m. in the morning.

"That really left me with a lot of time throughout the day to socialize with friends, screen time, extracurriculars, all that stuff. And that really worked for me. It might be different for other people," Tabrizi said.

Having finished her high-achieving high school career, Mahey said she's happy she gets to share the success that all her hard work has brought.  

"Honestly, it just kind of shows that all my hard work paid off," she said. "For four years you've been grinding out a lot of late nights. Some days, I was even up all night, getting no sleep before my next school day. So it was a lot of fun. I'm super excited that my friends and family get to share this experience."

Even more impressive, the top scholars did more than just study through their high school years.

Tabrizi took part in volleyball, contemporary dance, and the yearbook and prom committees.

Brijlall Nakahara participated in the newsletter, yearbook and tutoring clubs, while also practising judo outside of school and volunteering with the High Park Nature Centre and the Toronto Public Library Teen Council.

Meanwhile Mahey played on Northview’s Varsity Soccer Team and served as president of the school's business and art clubs an co-president of the tutoring club.

While some might consider the extra-curricular activities distractions, Tabrizi said they in fact helped her to avoid burnout from academics.

"I just I think that those extra things are essential if you want to do good," she said. "Having dance on the side and volleyball on the side, it really helps keep you going. So I think it's very important."

Going forward, Tabrizi will be studying Health Sciences at Queen’s University in the fall, hoping to follow in the footsteps of her parents, who are both doctors.

Mahey will be studying Management and Organizational Studies at Western University with the Ivey Advanced Entry Opportunity status.

Brijlall Nakahara, meanwhile, will be attending the University of Toronto's Scarborough Campus to study Conservation, Policy, and Creative Writing.

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Stay Connected

Metro, Cincinnati Public Schools prepare for student busing

CINCINNATI (WXIX) - Cincinnati Public School students are heading back to school on Wednesday, and this year, the district is partnering with Cincinnati Metro for busing services.

Nearly 92,000 students will ride the Metro this year, 1,200 of which are seventh and eighth-graders who are now required to ride the city bus if they do not already have a ride or cannot walk to school.

Each student will be given a Smart Card - either today or tomorrow -which will let them ride for free and track when they swipe it so that parents and the school district can monitor their movements.

Metro says safety remains their top priority.

Metro is excited to welcome student riders back to the system for the upcoming school year. Eligible 7th-12th graders will receive Metro Smart Cards to get to and from school each day. Learn more by visiting https://t.co/p24Zvi3461 pic.twitter.com/hdaBhWzukn — Cincinnati Metro (@cincinnatimetro) August 8, 2024

“Our mission is to offer a safe, reliable, and convenient transportation option that helps connect CPS students to school and home,” Metro says.

Students will download the Transit App to track real-time bus tracking and plan their trips ahead of time. While most students will have a direct route to and from class, a small portion of students who may live a significant distance from their school of choice may require one transfer.

“All of our transit centers have cameras on them and then all of our buses have cameras as well, too. We’re proud to partner with Cincinnati police department as well for police detail at all of our transit centers and in some cases, they’ll even do ride-a-longs on the buses as well,” said Brad Mason with Metro.

The Metro staff will be at all CPS orientation sessions and transit centers during the first few days of school to help families with planning student trips to and from school and to answer any questions.

Parents and guardians are also welcome to join their students for free on the Metro between Aug. 14-23.

One CPS parent, Casey Irvin, says he intends to ride the bus with his daughter the first few times.

“For the first couple of days, until she gets it down, I’m going to ride with her over to her school, get off with her, make sure she’s in the building and I’m going to come home. After that, I’m going to trust her to do it all on her own,” Irvin told FOX19 NOW.

Another perk for students is that the Smart Cards will allow them to access Metro services from 6:30 a.m. to 9:30 a.m. and then later from 1-5 p.m. each day.

Mason says students with after-school activities can use their cards until 10:30 p.m.

Several school are holding their orientations Monday night, including Clark Montessori.

See a spelling or grammar error in our story? Please click here to report it .

Do you have a photo or video of a breaking news story? Send it to us here with a brief description.

Copyright 2024 WXIX. All rights reserved.

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The university has paused implementation of the COVID-19 vaccine mandate due to an injunction issued by a federal court. UW–Madison employees remain subject to the COVID-19 Workplace Safety Policy . Please visit covidresponse.wisc.edu for more information.

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