Objective
Solve percent problems using equations.
Common Core Standards
Core Standards
The core standards covered in this lesson
6.EE.B.7— Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all nonnegative rational numbers.
Expressions and Equations
6.EE.B.7— Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all nonnegative rational numbers.
6.RP.A.3.C— Find a percent of a quantity as a rate per 100 (e.g., 30% of a quantity means 30/100 times the quantity); solve problems involving finding the whole, given a part and the percent.
Ratios and Proportional Relationships
6.RP.A.3.C— Find a percent of a quantity as a rate per 100 (e.g., 30% of a quantity means 30/100 times the quantity); solve problems involving finding the whole, given a part and the percent.
Foundational Standards
The foundational standards covered in this lesson
6.RP.A.1
Ratios and Proportional Relationships
6.RP.A.1— Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities.For example, "The ratio of wings to beaks in the bird house at the zoo was 2:1, because for every 2 wings there was 1 beak." "For every vote candidate A received, candidate C received nearly three votes."
6.RP.A.2
Ratios and Proportional Relationships
6.RP.A.2— Understand the concept of a unit rate a/b associated with a ratio a:b with b ≠ 0, and use rate language in the context of a ratio relationship.Expectations for unit rates in this grade are limited to non-complex fractions.For example, "This recipe has a ratio of 3 cups of flour to 4 cups of sugar, so there is 3/4 cup of flour for each cup of sugar." "We paid $75 for 15 hamburgers, which is a rate of $5 per hamburger."
Criteria for Success
The essential concepts students need to demonstrate or understand to achieve the lesson objective
- Determine, through repeated reasoning, an equation to represent the relationship between percent, whole, and part:$$percent\times{whole}=part$$(MP.8).
- Write an equation to represent a percent situation when given a part and a percent.
- Write and solve equations to find the whole, given the part and percent.
Tips for Teachers
Suggestions for teachers to help them teach this lesson
In Unit 2, students solved percent problems by reasoning about diagrams, double number lines, and tables. Now having learned about equations in the form$${px=q}$$, students revisit percent problems to see how they can be modeled and solved efficiently using an equation (MP.4).
Fishtank Plus
Unlock features to optimize your prep time, plan engaging lessons, and monitor student progress.
Anchor Problems
Problems designed to teach key points of the lesson and guiding questions to help draw out student understanding
25-30 minutes
Problem 1
What is...
- 30% of 40?
- 30% of 120?
- 30% of 15?
In general, if you’re given a percent and a whole, how can you find the part? Write this as an equation.
Guiding Questions
Create a free account or sign in to access the Guiding Questions for this Anchor Problem.
Problem 2
30% of what number is 12?
Solve this problem first by drawing a diagram. Then write and solve an equation to verify your solution.
Guiding Questions
Create a free account or sign in to access the Guiding Questions for this Anchor Problem.
Problem 3
For each situation below, write and solve an equation to answer the question.
a.There are 6 liters of water in a bucket, which is 20% of the maximum number of liters the bucket can hold. What is the maximum number of liters the bucket can hold?
b.A softball team won 18 games, which was 60% of the games they played this season. How many games did the softball team play this season?
Guiding Questions
Create a free account or sign in to access the Guiding Questions for this Anchor Problem.
Problem Set
A set of suggested resources or problem types that teachers can turn into a problem set
15-20 minutes
Fishtank Plus Content
Give your students more opportunities to practice the skills in this lesson with a downloadable problem set aligned to the daily objective.
Target Task
A task that represents the peak thinking of the lesson - mastery will indicate whether or not objective was achieved
5-10 minutes
Paula is saving money to buy a tablet. So far, she has saved $54, which is 45% of what she needs to buy the tablet.
Write and solve an equation to find the price of the tablet.
Student Response
An example response to the Target Task at the level of detail expected of the students.
Create a free account or sign in to view Student Response
Additional Practice
The following resources include problems and activities aligned to the objective of the lesson that can be used for additional practice or to create your own problem set.
- Challenge: In a choir, there are 28 female singers which is 40% of the choir. How many female singers would have to be added to the group so exactly 50% of the choir were females?
- EngageNY Mathematics Grade 6 Mathematics > Module 1—Lessons 27–29 (Revisit these lessons from Unit 2 and have students write equations to solve.)
- Open Up Resources Grade 6 Unit 6 Practice Problems—Lesson 7 #1–3
Lesson 5
Lesson 7
