6th grade math marks the start of middle school. Ratios, negative numbers and early algebra arrive, and thinking mathematically becomes more important than simply calculating.

Key Topics Covered:

Ratios and unit rates, percents, integers, dividing fractions, expressions and equations, area and surface area, and statistics.

Parent Tip:

Middle school math moves fast. Students who start 7th grade with solid 6th grade foundations adapt much better than those who were just getting by.

Solve problems with ratios, unit rates and percents

Divide fractions by fractions and compute fluently with decimals

Work with positive and negative numbers and graph in four quadrants

Write and solve one-variable equations and inequalities

Find area, volume and surface area of shapes and solids

Describe data with measures of center and variability

Student learning 6th grade math online with a live tutor at home in the USA

No.	Topic	What We Cover
01	Understanding Integers	Extend the number line to negative numbers and compare values such as -2 < 0 < 2.
02	Integers in Everyday Contexts	Use positive and negative numbers for temperatures, elevations, bank balances and sports scores.
03	Absolute Value and Comparing Integers	Find distance from zero and explain the difference between order and magnitude.
04	The Four-Quadrant Coordinate Plane	Plot ordered pairs in all four quadrants and see how signs show position and reflections.
05	Factors and Greatest Common Factor	Use prime factorization to find the GCF and rewrite sums with the distributive property.
06	Multiples and Least Common Multiple	Find the LCM and use it to solve problems about repeating events.
07	Dividing Fractions by Fractions	Divide fractions with visual models and the reciprocal rule, and explain why it works.
08	Fraction Division Word Problems	Solve real-world problems, such as how many 3/4-cup servings fit in 6 cups.
09	Multi-Digit and Decimal Operations	Add, subtract, multiply and divide multi-digit numbers and decimals fluently with the standard algorithms.
10	Quarter 1 Review	Review integers, factors and fraction division. 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	Ratio Concepts	Describe a relationship between two quantities with a ratio, such as 3 cups of flour to 2 cups of sugar.
12	Equivalent Ratios and Ratio Tables	Build tables of equivalent ratios and use them to find missing values.
13	Ratios on the Coordinate Plane	Graph pairs from a ratio table and see how the points line up.
14	Unit Rates	Find the amount per one unit, such as miles per hour or dollars per pound.
15	Unit Pricing and Speed	Compare deals at the grocery store and solve distance, rate and time problems.
16	Percent as a Rate per 100	Connect percents to fractions, decimals and ratios with 10 by 10 grids.
17	Finding the Percent of a Quantity	Find a percent of a number, such as a 15% tip on a $40 meal.
18	Finding the Whole From a Part	Use percent and a part to find the whole, such as a sale price problem.
19	Converting Units With Ratios	Use ratio reasoning to convert measurements in customary and metric systems.
20	Quarter 2 Review	Review ratios, rates and percents. A mock test and parent report follow.

No.	Topic	What We Cover
21	Exponents and Order of Operations	Evaluate whole number exponents and use the order of operations on longer expressions.
22	Writing Algebraic Expressions	Turn phrases such as '5 more than a number' into expressions with variables.
23	Evaluating Expressions	Substitute values for variables and find the value of an expression.
24	Equivalent Expressions	Use properties and the distributive property to show that two expressions are equal.
25	One-Step Equations: Addition and Subtraction	Solve equations such as x + 7 = 15 and check the solution.
26	One-Step Equations: Multiplication and Division	Solve equations such as 4x = 28 and x / 3 = 9.
27	Inequalities	Write and graph inequalities such as x > 5 on a number line.
28	Independent and Dependent Variables	Describe how one quantity changes with another using tables, graphs and equations.
29	Equations From Real-World Problems	Write equations from word problems, tables and graphs and solve them.
30	Quarter 3 Review	Review expressions, equations and inequalities. A mock test and parent report follow.

No.	Topic	What We Cover
31	Area of Triangles and Quadrilaterals	Find the area of triangles, parallelograms and trapezoids by composing and decomposing shapes.
32	Area of Polygons	Split composite and irregular polygons into simple shapes to find area.
33	Polygons on the Coordinate Plane	Draw polygons from coordinates and find side lengths on horizontal and vertical lines.
34	Volume With Fractional Edges	Find the volume of rectangular prisms with fractional side lengths using unit cubes and formulas.
35	Nets and Surface Area	Unfold prisms and pyramids into nets and find the surface area.
36	Statistical Questions and Data Displays	Tell statistical questions from other questions and build dot plots and histograms.
37	Mean, Median and Mode	Find and compare measures of center and decide which one best describes a data set.
38	Variability: Range, IQR and MAD	Measure how spread out data is and read box plots.
39	State Test Skills and Problem Solving	Practice multi-step problems, show-your-work responses and test-taking strategies.
40	Grade 6 Review and Grade 7 Readiness	Review the year's key skills and preview 7th grade ideas such as proportional relationships. A mock test and parent report follow.

6th Grade Math Tutoring in the USA

By Quarter 4 of 6th Grade Math, Your Child Will...

6th 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