UNIT 1 BRIDGES TO MATHEMATICS FORMATIVE ASSESSMENT DIFFERENTIATED INSTRUCTION B Use domain-specific vocabulary Have students work in groups to read the sentences and guess the words that complete them before looking at the words in the box. ANSWERS 1. unit rate 2. scaled up 3. ratio 4. scaled down 5. proportional relationship C Understand unit rate Discuss the table as a class if students need support answering the questions. Ask guiding questions to lead them to the solutions. For example, ask: What does this table show? (the rows are in proportional relationships) Say: Mia bought 15 pounds of rice for $30. What is the unit rate we want to find? (cost per pound) What is the cost per 15 pounds? ($30) Find this row in the table. Now, let’s scale the ratio up. How much would 20 pounds of rice cost? ($40) Show students how the weight is multiplied by 5 while the cost is multiplied by 10 in order to maintain the proportion while scaling up. Continue to present how to scale the proportion down to complete the table. ANSWERS 1. $2 2. $40 3. .5 lb. 4. Students should draw graphs with weight as the y-axis and cost as the x-axis and plot points at (10, 5) (20, 10) (30, 15) and (40, 20). D Participate effectively in collaborations Make sure students know what is expected of them during group work. They should contribute relevant, accurate information and respond to and build upon what others say. They should also be respectful listeners and take turns speaking. ANSWERS Sample answer: You use proportional relationships if you want to build something, for example, a fence. If each square foot of wood for the fence costs $5, then the total cost of the wood is proportional to the number of square feet. MEET A CHEF • Solve real-life and mathematical problems Ask: How does a chef use ratios every day? Ask students in pairs to devise a mathematical problem that a chef might have. Then have them share their problems in groups for their classmates to solve. • Connect to theme Ask: How are ratios a part of Josey’s identity? Are ratios and proportional relationships a part of your identity? Invite students to explain their answers. • Acquire and use vocabulary Ask students to explain what a motivational speaker is. (a speaker who makes speeches to motivate or inspire an audience) Ask students to share any experiences they have had with motivational speaking. Elicit informal examples, such as a pep talk from a sports coach or teacher who wanted to energize them. Supersite See the Bridges SuperSite: Teacher Resources for a Mathematics Project. Practice Book p. 15 Assessment Program Quiz: Bridges to Mathematics PRACTICE Identify each as a unit rate or a ratio. 1. price per pound ____ 4. miles per hour ____ 2. 4 cups for every 1 cup ____ 5. 2:1 ____ 3. 5 to 3 ____ Scaffold As a class, create another table that shows proportional relationships. Elicit from students the information for each step. Ask students to use the vocabulary they learned in the lesson to describe each ratio and proportional relationship. Amplify Provide a table like the one in Activity B, using a different proportional relationship. Have students write three to five questions that can be answered using the table. Have students trade papers and answer their classmate’s questions. COMMUNICATE Number of Trees Number of Apples 1 25 2 50 3 75 4 100 B Comprehension Use the words in the box to complete the sentences. 1. A compares amounts by using numbers. 2. Ratios can be by multiplying both quantities by the same amount. 3. A tells how much of one quantity for a given amount of another quantity. 4. Ratios can be by dividing both quantities by the same amount. 5. 3:6 and 6:12 is an example of a . C Application Use the table and the information provided to answer the questions. 1. What is the price per pound of rice? 2. How much would 20 pounds of rice cost? 3. How much rice could Mia buy for $1? 4. Graph the relationship between the weight of the rice and the cost of the rice. D Making connections Make a list of situations where you can use proportional relationships at school, at home, or in your community. Discuss how you would use proportional relationships in these different contexts. MEET A CHEF Jeremiah Josey is a chef from Washington, DC. He grew up watching his grandmother cook and went on to become a chef, a writer, and a motivational speaker. Jeremiah also wrote a book with his mother, called Here’s What I Want You to Know. Weight (lbs.) Cost ($) ? 1 1 ? 5 ? 10 ? 15 ? 20 ? Mia bought 15 pounds of rice for $30. proportional relationship ratio text scaled up scaled down unit rate UNIT 1 35 BLC23_SE_LB_U01_034-035_BM.indd 35 9/15/21 12:26 PM Teacher’s Edition • UNIT 1 | 35
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