Week 3

(Module 1 Topic 2 Lesson 1: Solving Problems with Ratios of Fractions)

Learning objective = Students will write complex rates and rewrite them as unit rates and use ratio reasoning to convert units of measures. Students then write proportions and use rates to determine miles per hour.

Resource 1 (Kahoot) = https://create.kahoot.it/share/module-1-topic-2-proportionality/0c537ede-6297-42c2-b083-d07d6bfe6abb
Resource 2 (Khan Academy) = https://www.khanacademy.org/math/pre-algebra/pre-algebra-ratios-rates/pre-algebra-rates/e/unit-rates?referrer=share_link
Parents can support learning at home by helping students connect this week’s lesson to real-life examples and practice explaining their thinking. Encourage your child to explain each step aloud rather than simply memorize a rule = SAMPLE TEST QUESTIONS + DESMOS

***If your child needs more challenge, they can move at a faster pace by using this site to study the concepts of future lessons. Mr. Pierre will strive to prepare lessons two weeks ahead of the current week. Also, Khan Academy is a great enrichment resource***

Lesson 1

Lesson 3

Lesson 5

Lesson 2

Lesson 4

Lesson 6

Proportional Relationships | Grades 6-8 Mathematics Teaching and Lesson ResourcesIn this video, learn how ratios, tables, and graphs can help identify proportional relationships. In the accompanying classroom activity, students use a classic mathematical task to improve their understanding of ratios and proportions. After watching the video and having a brief class discussion and review of ratios, students work in pairs to determine which of two punch mixtures tastes more like juice. This set of problems extends students’ understanding of ratios while requiring them to use both multiplicative and additive reasoning in their responses.

Scale City | One-Dimensional Scaling in the Real World | Grades 6-8 Mathematics Teaching and Lesson ResourcesIn this video, life-size replicas help demonstrate one-dimensional scaling and the ratio relationship between two real-world quantities. The accompanying classroom activity helps students understand how ratios and proportions can help them determine an unknown height. This video is available in both English and Spanish audio, along with corresponding closed captions.

Human Tree: Ratios | Grades 6-8 Mathematics Teaching and Lesson ResourcesWatch as the National Museum of Mathematics creates an interesting series of images using ratios. This video focuses on the proportional relationship observed in fractals and challenges you to do some critical thinking using ratios and scale factors. This video was submitted through the Innovation Math Challenge, a contest open to professional and nonprofessional producers.

Solve the Ratio and Proportion Problem | Cyberchase | Grades 3-5, 6-8 Mathematics Teaching and Lesson ResourcesIn this video, Harry finds money on the sidewalk. He uses ratio, proportion, and some knowledge about shadows to return it to the rightful owner. In the accompanying classroom activity, students investigate whether there is a consistent relationship between the height of objects and the length of their shadows.

Percents Combined: Proportional Relationships with Multistep Ratio and Percent Problems | The Lowdown | Grades 6-8 Mathematics Teaching and Lesson ResourcesLearn how to calculate sale price when combining two “percent-off” discounts in this video from KQED. In the accompanying classroom activity, students develop and share a variety of strategies, including modeling with a 10 x 10 grid to determine a total discount and sale price when two percent-off discounts are combined. They compare their strategies with the approach demonstrated in a video. To get the most out of the activity, students should be comfortable calculating discount as a percent off a dollar amount (e.g., 20% off an item priced at $50) and familiar with the concept of a ratio.