Grade 6 Math
Grade 6 math transitions into pre-algebra with ratios, rates, and percentages, introduces variables and equations, extends the number system to integers, and develops statistical thinking.
What You'll Learn
- Understand and use ratios, rates, and unit rates
- Solve percent problems including percent change
- Write and evaluate algebraic expressions
- Solve one-step equations
- Extend the number line to negative numbers
- Compute with integers
- Calculate mean, median, and mode
- Find area of circles, triangles, parallelograms, and trapezoids
Concepts by Topic
Arithmetic
Understand ratios as comparisons of two quantities
Understand rates as ratios comparing different units
Calculate and compare unit rates
Understand percentages as rates per 100
Find a percent of a number
Calculate percent increase and decrease
Understand negative numbers on the number line
Understand integers and their order
Add, subtract, multiply, and divide integers
Understand absolute value as distance from zero
Evaluate expressions with whole-number exponents
Use GCF to simplify fractions and factor expressions
Use LCM to add fractions and solve problems
Geometry
Calculate area of circles using A = ฯrยฒ
Calculate circumference using C = 2ฯr
Understand ฯ as the ratio of circumference to diameter
Find area of triangles using A = ยฝbh
Find area of parallelograms using A = bh
Find area of trapezoids using A = ยฝ(bโ + bโ)h
Find surface area of 3D shapes using nets
Algebra
Solve proportion problems using equivalent ratios
Use letters to represent unknown quantities
Write, read, and evaluate algebraic expressions
Write and solve one-step equations
Graph points in all four quadrants
Statistics
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