Grade 6 math, age 11 to 12

In Grade 6, students transition to middle school mathematics by mastering operations with multi-digit decimals and dividing fractions by fractions. They are introduced to negative numbers, the full four-quadrant coordinate plane, ratio and rate reasoning, and algebraic expressions and one-step equations. Students also expand their geometric understanding to the area of polygons and surface area, while learning foundational concepts of statistical variability.

Start a Grade 6 sheet

Equivalent levels

Topics

Ratio

Topic	Focus	Codes
Simplifying Ratios	introduce	6.RP.A.1
Proportions and Unit Rates	introduce	6.RP.A.2
Dividing in a Ratio	introduce	6.RP.A.3

Percentages

Topic	Focus	Codes
Percent of a Number	introduce	6.RP.A.3

Fractions

Topic	Focus	Codes
Dividing Fractions	develop	6.NS.A.1

Number

Topic	Focus	Codes
Long Division	secure	6.NS.B.2
Factors and Multiples	secure	6.NS.B.4
GCF and LCM	secure	6.NS.B.4
Negative Numbers	introduce	6.NS.C.5
Order of Operations	introduce	6.EE.A.1
Squares, Cubes, and Roots	introduce	6.EE.A.1

Decimals

Topic	Focus	Codes
Adding and Subtracting Decimals	secure	6.NS.B.3
Multiplying Decimals	secure	6.NS.B.3
Dividing Decimals	secure	6.NS.B.3

Algebra

Topic	Focus	Codes
Coordinate graphing	introduce	6.NS.C.6
Evaluating Expressions	introduce	6.EE.A.2
Combining Like Terms	introduce	6.EE.A.3
One-step equations	develop	6.EE.B.7

Measurement

Topic	Focus	Codes
Area of Rectangles and Squares	develop	6.G.A.1
Area of Triangles and Parallelograms	develop	6.G.A.1
Volume of Rectangular Prisms	develop	6.G.A.2

Statistics

Topic	Focus	Codes
Mean, Median, Mode, and Range	introduce	6.SP.B.5

Curriculum items

Indicative, from Common Core State Standards. See the official document for the authoritative text.

6.RP.A.1 Understand the concept of a ratio and use ratio language to describe relationships between two quantities.
6.RP.A.2 Understand the concept of a unit rate associated with a ratio and calculate unit rates in context.
6.RP.A.3 Solve real-world and mathematical ratio, rate, and percentage problems using various representations.
6.NS.A.1 Interpret and compute quotients of fractions divided by fractions to solve word problems.
6.NS.B.2 Fluently divide multi-digit whole numbers using the standard long division algorithm.
6.NS.B.3 Fluently add, subtract, multiply, and divide multi-digit decimals using standard algorithms.
6.NS.B.4 Find the greatest common factor of two whole numbers and the least common multiple of two numbers.
6.NS.C.5 Understand that positive and negative numbers describe quantities having opposite directions or values.
6.NS.C.6 Plot and locate rational numbers and ordered pairs in all four quadrants of the coordinate plane.
6.EE.A.1 Write and evaluate numerical expressions involving whole-number exponents.
6.EE.A.2 Write, read, and evaluate expressions in which letters stand for numbers.
6.EE.A.3 Apply properties of operations to generate equivalent algebraic expressions.
6.EE.B.7 Solve real-world and mathematical problems by writing and solving one-step linear equations.
6.G.A.1 Find the area of triangles, special quadrilaterals, and polygons by composing or decomposing into simpler shapes.
6.G.A.2 Calculate the volume of right rectangular prisms with fractional edge lengths.
6.SP.B.5 Summarize numerical data sets in relation to their context by calculating measures of center and variability.

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