7th grade math brings operations with negative numbers, proportional reasoning and equations. The pace picks up and each idea leans on the one before it.

Key Topics Covered:

Rational numbers, ratios and proportions, percent problems, expressions and equations, inequalities, circles, volume, sampling and probability.

Parent Tip:

Middle school is where many students start to slip. A tutor who knows the standards and your child's gaps makes all the difference.

Add, subtract, multiply and divide rational numbers, including negatives

Solve proportion and percent problems, such as tax, tips and discounts

Simplify expressions and solve two-step equations and inequalities

Find circumference, area, volume and surface area of figures and solids

Use angle relationships and scale drawings to solve problems

Compare data sets and find the probability of simple and compound events

Student learning 7th grade math online with a live tutor at home in the USA

No.	Topic	What We Cover
01	Rational Numbers on the Number Line	Place fractions, decimals and negative numbers on number lines and compare them.
02	Opposites and Absolute Value	Review opposites and absolute value and use them to describe distance and direction.
03	Adding and Subtracting Integers	Add and subtract integers with number lines and counters, and see subtraction as adding the opposite.
04	Adding and Subtracting Rational Numbers	Add and subtract fractions and decimals, positive and negative, in real situations such as temperature and money.
05	Multiplying Integers	Use patterns and models to see why a negative times a negative is positive.
06	Dividing Integers	Divide integers and connect the sign rules to multiplication.
07	Multiplying and Dividing Rational Numbers	Multiply and divide fractions and decimals, including negative values.
08	Fractions, Decimals and Percents	Convert between forms, including terminating and repeating decimals, using long division.
09	Estimation and Real-World Rational Number Problems	Round, estimate and check that answers to multi-step problems make sense.
10	Quarter 1 Review	Review rational number operations. A mock test and parent report follow.

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Student in a tutoring session with their tutor

Warm-up (5 min)

Quick mental math and a review of the previous session

Core Teaching (25 min)

New concept from the lesson eBook, with examples and guided practice

Guided Practice (15 min)

Student works through problems with tutor support

Independent Practice (10 min)

Student completes the in-class quiz independently

Wrap-up (5 min)

Summary, 2 take-home quizzes and a preview of the next session

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No.	Topic	What We Cover
11	Ratios and Unit Rates With Fractions	Compute unit rates with fractional quantities, such as miles per half hour.
12	Proportional Relationships in Tables	Decide whether two quantities are proportional by checking equivalent ratios in a table.
13	The Constant of Proportionality	Find the constant of proportionality, also called the unit rate, in tables, graphs and equations.
14	Graphing Proportional Relationships	Graph proportional relationships and explain what the point (1, r) means.
15	Solving Proportions	Write and solve proportion equations for problems such as recipes and map distances.
16	Scale Drawings	Compute actual lengths and areas from a scale drawing and redraw it at a different scale.
17	Percent Problems: Tax, Tip and Discount	Solve multi-step percent problems such as sales tax, tips and sale prices.
18	Markups, Markdowns and Commission	Calculate how stores set prices and how commissions are earned.
19	Simple Interest and Percent Change	Find simple interest, percent increase and decrease, and percent error.
20	Quarter 2 Review	Review ratios, proportions and percents. A mock test and parent report follow.

No.	Topic	What We Cover
21	Simplifying Algebraic Expressions	Combine like terms and use properties of operations to simplify expressions.
22	Adding and Subtracting Linear Expressions	Add and subtract linear expressions, including with negative coefficients.
23	Factoring and Expanding Expressions	Use the distributive property to factor and expand linear expressions.
24	Equivalent Expressions in Context	Rewrite expressions to see how the quantities in a situation relate, such as a price plus 8% tax.
25	Two-Step Equations: px + q = r	Solve two-step equations with whole numbers, fractions and decimals.
26	Equations: p(x + q) = r	Solve equations with parentheses and compare algebraic and arithmetic solutions.
27	Writing Equations From Word Problems	Translate real-world situations into equations and solve them.
28	Inequalities: px + q > r	Solve two-step inequalities and interpret the solution set.
29	Graphing Inequalities in Context	Graph solutions on number lines and use them to make decisions, such as budgets.
30	Quarter 3 Review	Review expressions, equations and inequalities. A mock test and parent report follow.

No.	Topic	What We Cover
31	Angle Relationships	Use supplementary, complementary, vertical and adjacent angles to write and solve equations.
32	Circles: Circumference and Area	Explore pi and use circumference and area formulas.
33	Area of Composite Figures	Find the area of figures made of triangles, quadrilaterals, circles and semicircles.
34	Volume and Surface Area of Prisms and Pyramids	Calculate volume and surface area of right prisms and pyramids in real-world problems.
35	Cross-Sections and Drawing Triangles	Describe slices of 3D solids and draw triangles from given measures to see when they are unique.
36	Random Sampling and Inference	Judge whether a sample represents a population and use it to make predictions.
37	Comparing Two Populations	Compare two data sets using center and variability, such as heights of two teams.
38	Probability and Sample Spaces	Find the probability of simple events and understand likelihood from 0 to 1.
39	Compound Probability and Simulation	Use lists, tables and tree diagrams for compound events and run simulations.
40	Grade 7 Review and Grade 8 Readiness	Review the year's key skills, including state test question types, and preview 8th grade ideas. A mock test and parent report follow.

7th Grade Math Tutoring in the USA

By Quarter 4 of 7th Grade Math, Your Child Will...

7th Grade Math Curriculum, Quarter by Quarter

Try a Free Lesson to See the Full Program

Try a Free Lesson to See the Full Program

Try a Free Lesson to See the Full Program

Try a Free Lesson to See the Full Program