Unit 1The Number System
14 lessons7 Weeks
The Number System
 Week 1
Lesson 1
Calculate multi-digit whole numbers
Solve real-world and mathematical problems involving the four operations with whole numbers.
Lesson 2
Equivalent fractions and decimals
Simplify and find equivalent fractions and decimals. 
 Week 2
Lesson 3
Absolute value & Integers
Understand absolute value in the real world. Understand and identify integers in the real world. 
Lesson 4
Calculate integers
Solve real-world and mathematical problems involving the four operations with integers.
 Week 3
Lesson 5
Convert rational numbers
Convert to and from proper fractions, improper fractions, mixed numbers, and decimals.
Lesson 6
Compare, order, and round rational numbers
Compare, order, and round proper fractions, improper fractions, mixed numbers, and decimals.
 Week 4
Lesson 7
Calculate fractions
Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram. Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.
Lesson 8
Calculate decimals
Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram. Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.
 Week 5
Lesson 9
Number properties
Use number properties to improve number sense and mental math.
Lesson 10
Order of operations
Solve real-world and mathematical problems involving the four operations with whole and rational numbers.
 Week 6
Lesson 11
Coordinate plane with all 4 quadrants
Understand and interpret the coordinate plane, plot ordered pairs, and answer questions using the coordinate plane.
Lesson 12
Exponents & Roots
Understand exponents, square roots, and cube roots, and solve problems involving them.
 Week 7
Lesson 13
Solve real-world problems
Solve real-world problems involving the four operations with whole numbers and integers.
Lesson 14
Solve real-world problems
Solve real-world problems involving the four operations with rational numbers.
Unit 2Expressions and Equations
8 lessons4 Weeks
Expressions and Equations
 Week 8
Lesson 15
Identify and write expressions
Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations to solve problems by reasoning about the quantities.
Lesson 16
Simplify expressions
Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related.
 Week 9
Lesson 17
Solve one-step equations
Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.
Lesson 18
Solve two-step equations
Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.
 Week 10
Lesson 19
Solve multi-step equations
Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically.
Lesson 20
Solve equations with variables on both sides
Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically.
 Week 11
Lesson 21
Understand, write, and graph inequalities
Use variables to represent quantities in a real-world or mathematical problem, and construct simple inequalities to solve problems by reasoning about the quantities.
Lesson 22
Solve and graph inequalities
Apply properties of operations as strategies to add, subtract, multiply, and divide rational coefficients in  inequalities.
Unit 3Ratios and Proportional Relationships
10 lessons5 Weeks
Ratios and Proportional Relationships
 Week 12
Lesson 23
Percent
Convert between percent, fractions, and decimals.
Lesson 24
Percent word problems
Solve problems using percent by breaking word problems into expressions and multiplying or dividing.
 Week 13
Lesson 25
Ratios, rates, and unit rates
Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units.
Lesson 26
Proportions
Recognize and represent proportional relationships between quantities. Use proportional relationships to solve multistep ratio and percent problems.
 Week 14
Lesson 27
Constant of proportionality
Identify, calculate, and interpret the constant of proportionality. 
Lesson 28
Direct variation
Identify, calculate, and interpret direct variation. 
 Week 15
Lesson 29
Slope
Identify, calculate, and interpret slope. 
Lesson 30
Similar figures & Scale drawings
Use proportional relationships to identify similar figures and missing values in similar figures. Use proportional relationships to prove whether or not a drawing is to scale and solve problems by interpreting scale drawings.
 Week 16
Lesson 31
Consumer math
Use proportional relationships and ratios to solve real-world problems involving simple interest, taxes, markup, and discounts.
Lesson 32
Consumer math
Use proportional relationships and ratios to solve real-world problems involving simple interest, taxes, markup, and discounts.