Curriculum / Math / 6th Grade / Unit 2: Unit Rates and Percent / Lesson 8
Math
Unit 2
6th Grade
Lesson 8 of 14
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Define percent as a rate per 100. Find percentages of 100 and 1.
The core standards covered in this lesson
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.
The essential concepts students need to demonstrate or understand to achieve the lesson objective
Suggestions for teachers to help them teach this lesson
Students will likely have some prior knowledge of percent, but there may be some misconceptions or partial understandings. This lesson introduces percent by modeling it with familiar representations - 10x10 grids, double number lines, and tape diagrams. These tools will be used in the next few lessons when students are still developing their understanding of percent. Later in the unit, students will learn more procedural approaches once the conceptual foundation is solid.
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Problems designed to teach key points of the lesson and guiding questions to help draw out student understanding
Robb’s Fruit Farm consists of 100 acres on which three different types of apples grow. On 25 acres, the farm grows Empire apples. Macintosh apples grow on 30 acres of the farm. The remainder of the farm grows Fuji apples.
Shade in the grid below to represent the portion of the farm each apple type occupies. Use a different color or pattern for each type of apple. What percent of the fruit farm is taken up by each type of apple? Fill in the table below.
Grade 6 Mathematics > Module 1 > Topic D > Lesson 24 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..
Adam’s Fruit Farm also has 100 acres, but he grows more than just apples. Oranges take up 60 acres of his farm.
What percent of Adam’s farm is oranges? What percent is not oranges? Draw a 10x1 tape diagram to model the situation.
Represent the values of the following coins as percentages of $1 on the double number line.
What percent of a dollar is the value of:
Show your work using a double number line.
A set of suggested resources or problem types that teachers can turn into a problem set
Give your students more opportunities to practice the skills in this lesson with a downloadable problem set aligned to the daily objective.
A task that represents the peak thinking of the lesson - mastery will indicate whether or not objective was achieved
You walk out of school with $0.75 in your pocket. On your way home, you pick up 5 pennies and a dime and put them in your pocket. What percent of a dollar do you have in your pocket?
Use a visual representation to show how much money you have in your pocket and what percent of a dollar it represents.
An example response to the Target Task at the level of detail expected of the students.
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.
Lesson 7
Lesson 9
Topic A: Defining Rate & Solving Rate Problems
Investigate and use rate in real-world situations.
6.RP.A.3 6.RP.A.3.B
Define rate and unit rate, and find rates from situations involving ratios.
6.RP.A.2 6.RP.A.3.B
Find unit rates and use them to solve problems.
Compare situations using unit rates, including speed, price, and work problems.
6.RP.A.3.B
Solve challenging problems involving unit rate.
6.RP.A.2 6.RP.A.3 6.RP.A.3.B
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Topic B: Measurement Unit Conversions
Reason with measurement units and solve unit conversion problems using different strategies.
6.RP.A.3.D
Solve measurement unit conversion problems.
Topic C: Percent
6.RP.A.3.C
Solve percent problems using benchmark fractions and percentages, with and without written work.
Convert between fractions, percent, and decimals.
Find a percent of a quantity.
Find the whole quantity, given a part and percent.
Solve percent problems, including finding percent when given a part and a whole.
Solve multi-step problems involving rate and percent.
6.RP.A.2 6.RP.A.3 6.RP.A.3.C 6.RP.A.3.D
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