6th Grade Math

Understand and describe a set of data

Understand measures of center and measures of variation

Summarize numerical data sets in relation to their context

Understand whole number exponents
Lesson Sets6.EE.1
1. Write numerical expressions involving wholenumber exponents6.EE.1

2. Evaluate numerical expressions by using wholenumber exponents6.EE.1

3. Write numerical expressions using area and volume models6.EE.1

4. Evaluate a numerical expression using Order of Operations6.EE.1

5. Write a numerical expression using exponents by interpreting a problem6.EE.1


Evaluate expressions with letters
Lesson Sets6.EE.2a, 6.EE.2b, 6.EE.2c
1. Read and write an algebraic expression containing a variable6.EE.2a

2. Use alternative notation for multiplication and division in algebra...6.EE.2b

3. Read and write algebraic expressions using parentheses6.EE.2b

4. Evaluate onestep algebraic expressions by substitution6.EE.2c

5. Evaluate multiple step algebraic expressions by substitution6.EE.2c

6. Evaluate algebraic expressions with exponents6.EE.2c

7. Write and evaluate algebraic expressions using formulas6.EE.2c


Apply properties of operations to generate equivalent expressions
Lesson Sets6.EE.3
1. Combine like terms using commutative and associative properties6.EE.3

2. Simplify algebraic expressions by combining like terms6.EE.3

3. Apply distributive property by using a visual model6.EE.3

4. Simplify algebraic expressions by applying the distributive property6.EE.3

5. Regroup with distributive property by using a visual model6.EE.3

6. Regroup algebraic expressions by applying the distributive property6.EE.3

7. Simplify algebraic expressions by combining like terms and applying...6.EE.3


Identify when two expressions are equivalent

Understand equations and inequalities and use substitution
Lesson Sets6.EE.5
1. Understand that equations have one solution using a pan balance6.EE.5

2. Understand that an inequality has more than one solution using a pa...6.EE.5

3. Understand that inequalities have more than one solution using a nu...6.EE.5

4. Compare equations and inequalities using a Venn diagram6.EE.5


Understand and use variables
Lesson Sets6.EE.6
1. Understand how variables are used6.EE.6

2. Write algebraic expressions using addition and subtraction6.EE.6

3. Write algebraic expressions using multiplication and division6.EE.6

4. Write multistep algebraic expressions6.EE.6

5. Determine whether an algebraic expression matches a scenario6.EE.6


Solve problems by writing and solving equations of the form x + p = q and px = q

Understand, write, and represent inequalities of the form x > c or x < c

Use variables to represent two quantities that change in relationship to one another

Find the area of triangles, quadtrilaterals, and polygons
Lesson Sets6.G.1
1. Find the area of a parallelogram by decomposing6.G.1

2. Find the area of a right triangle6.G.1

3. Find the area of nonright triangles by composing a parallelogram6.G.1

4. Find the area of a trapezoid by composing a parallelogram6.G.1

5. Find the area of polygons by decomposing into triangles, rectangles...6.G.1


Find the volume of rectangular prisms with fractional edge lengths

Draw polygons in the coordinate plane

Use nets to represent threedimensional figures and find surface area
Lesson Sets6.G.4
1. Identify the parts of threedimensional solids6.G.4

2. Represent threedimensional figures with nets6.G.4

3. Analyze rectangular prisms to find surface area  Part 16.G.4

4. Analyze rectangular prisms to find surface area  Part 26.G.4

5. Find surface area of rectangular prisms6.G.4

6. Analyze triangular prisms to find surface area  Part 16.G.4

7. Analyze triangular prisms to find surface area  Part 26.G.4

8. Find surface area of triangular prisms6.G.4

9. Solve realworld problems with surface area6.G.4

10. Decide whether to find area, surface area, or volume6.G.4


Interpret and compute quotients of fractions
Lesson Sets 
Divide multidigit numbers using the standard algorithm

Perform operations with decimals using the standard algorithm

Understand and find greatest common factor and least common multiple
Lesson Sets6.NS.4
1. Answer word problems by listing factor pairs6.NS.4

2. Find GCF by listing factor pairs6.NS.4

3. Find LCM of two numbers by listing the multiples of each6.NS.4

4. Write multiples of a sum using a visual model6.NS.4

5. Rewrite addition problems as multiplication problems using the dist...6.NS.4


Understand positive and negative numbers

Position numbers and their opposite on a number line
Lesson Sets6.NS.6a, 6.NS.6c
1. Understand the opposite of a number by looking at a number line6.NS.6a

2. Understand the opposites of fractions by looking at a number line6.NS.6a

3. Rewrite a fraction as a decimal using division6.NS.6a

4. Rewrite a fraction as a repeating decimal using division6.NS.6c

5. Rewrite decimals as fractions by using equivalent fractions6.NS.6a

6. Locate positive rational numbers using a number line6.NS.6a

7. Locate rational numbers using a number line6.NS.6c


Understand, find, and position rational numbers on the coordinate plane
Lesson Sets6.NS.6b, 6.NS.6c 
Interpret statements of inequality and order for rational numbers
Lesson Sets6.NS.7a, 6.NS.7b
1. Understand the relationship between two numbers using a number line6.NS.7a

2. Understand the relationship between two negative numbers using a nu...6.NS.7a

3. Compare two positive or negative numbers in realworld situations6.NS.7b

4. Compare more than two positive or negative numbers in realworld si...6.NS.7b


Understand and interpret absolute value
Lesson Sets6.NS.7c, 6.NS.7d
1. Find absolute value using a number line6.NS.7c

2. Use a number line to understand the relationship between rational n...6.NS.7c

3. Describe negative values with words6.NS.7c

4. Interpret absolute value in realworld situations6.NS.7d

5. Use a number line to understand how while the value of a negative n...6.NS.7d


Solve problems by graphing points
Lesson Sets6.NS.8
1. Graph points in any quadrant6.NS.8

2. Write coordinate pairs for points6.NS.8

3. Use absolute value to find distances between points6.NS.8

4. Find the distance between two points in different quadrants6.NS.8

5. Find the length and width of a rectangle given four points on the c...6.NS.8

6. Graph and mathematical problems using a coordinate plane6.NS.8

7. Graph and solve realworld problems using a coordinate plane6.NS.8


Understanding ratios
Lesson Sets6.RP.1
1. Visualize parttopart ratios using pictures6.RP.1

2. Visualize parttototal ratios using pictures6.RP.1

3. Classify ratios using a decision tree6.RP.1

4. Describe a picture using ratio language6.RP.1

5. Convert between parttopart and parttototal ratios by drawing a ...6.RP.1

6. Understanding ratios and fractions by analyzing a picture6.RP.1

7. Simplify ratios by finding patterns in a picture6.RP.1


Understanding unit rates

Solve ratio problems using tables and the coordinate plane

Use ratio reasoning to convert measurement units
Lesson Sets6.RP.3a, 6.RP.3d
1. Solve ratio problems using tables and addition6.RP.3a

2. Solve ratio problems using tables and multiplication6.RP.3a

3. Solve ratio problems using double number lines6.RP.3a

4. Solve ratio problems using a tape diagram6.RP.3a

5. Solve ratio problems by graphing on a coordinate plane6.RP.3a

6. Choose a strategy to solve ratio problems6.RP.3a

7. Convert measurement units using ratio tables6.RP.3d


Using ratios to solve percent problems
Lesson Sets6.RP.3c
1. Define percents as ratios6.RP.3c

2. Visualize percents using 10x10 grids6.RP.3c

3. Compare ratios using tables and percents6.RP.3c

4. Find the part when the percent and total are known6.RP.3c

5. Find the total when the percent and part are known6.RP.3c

6. Solve percent problems using a ratio table6.RP.3c
