This unit builds on the previous unit as it extends students’ understanding of ratio and rate reasoning to percents. Students also write and solve 1‐step equations as part of their work with percents; for example, the question “If Kevin paid a total of 13.50, including 8% sales tax, what was the price of the item he purchased?” can be represented by the equation 1.08x = 13.50.
Key Concepts:
 Percent is a way to compare relationships that are not based on the same whole by standardizing each comparison to 100.
 The distributive property allows for using a variety of expressions to calculate with percents. (For example, finding a discount: If the discount is 20%, this means we pay 80%, or 100%20%, of the original price, p. The discounted price is equivalently (100% of n  20% of n) = 80% of n.)
 We can use equations with equivalent forms of percents such as fractions and decimals to solve problems.
 If we know any two values in the relationship "x percent of y" is z, we can find the third value.
Lessons

Lesson objective: Understand that percents are a way to compare relationships that are not based on the same reference whole by standardizing the comparison to a reference whole of 100. Students bring prior knowledge that a percent is a type of ratio wh...

Lesson objective: Compare relationships with percents using double number lines. This lesson helps to build fluency with using double number lines to reason with percents. Double number lines are used here because they support the development of multipl...

Lesson objective: Use percents to compare relationships based on different totals in a realworld context. This lesson provides an opportunity for students to apply their knowledge and understanding of percents to a reallife situation. Students are ask...

Lesson objective: Understand that the distributive property allows us to create multiple equivalent expressions to represent percent values. Students bring prior knowledge of percents from 6.RP.A.3.C. This prior knowledge is extended to create equivalen...

Lesson objective: Use the distributive property to create equivalent expressions to calculate with percents. This lesson helps to build fluency with creating equivalent expressions to flexibly calculate with percents. Double number lines are used here b...

Lesson objective: Apply understanding of percents to generate multiple equivalent expressions to calculate with percents. This lesson provides an opportunity for students to apply their knowledge and understanding of percents to a reallife situation. S...

Lesson objective: Understand that we can use equations with equivalent forms of percents, such as fractions and decimals, to solve problems. Students bring prior knowledge of percents from 6.RP.A.3.c. This prior knowledge is extended to creating equatio...

Lesson objective: Create and solve equations using equivalent forms of percents such as decimals and fractions. This lesson helps to build procedural skill with setting up and solving equations using equivalent forms of percents such as decimals and fra...

Lesson objective: Use equations to solve problems involving percent error. This lesson helps to build procedural skills with percent error. Equations are used here because they help students make sense of the complex relationships between the various va...

Lesson objective: Understand the connection between percent change and an equation that can be used to calculate percent change. Students bring prior knowledge of percents from 6.RP.A.3.c. This prior knowledge is extended to writing and solving equation...

Lesson objective: Write and solve equations to represent percent increase situations. This lesson helps with understanding percent change by writing and solving equations. Double number lines and ratio equations are used here as both help students under...

Lesson objective: Write and solve equations to represent percent decrease situations. Students practice finding percent change by writing and solving equations. Ratio equations are used here to help students understand the connection between the values ...

Lesson objective: Analyze features of equivalent equations representing percent change. Students practice calculating percent change by analyzing equations representing a real world situation. Ratio equations are used here to help students understand th...

Lesson objective: Solve realworld, multistep problems involving percent change by writing equations. This lesson provides an opportunity for students to apply their knowledge and understanding of percent change to a reallife situation. Students are a...