ACADEMIC CONTENT CONNECTIONS Bridges to Mathematics • Math content and skills align with grade-level standards. Bridges to Other Content Areas • Different from unit to unit, students learn about elective and career topics, such as technology, world languages, physical education, drama, art, music, and personal finance. Recordings of all readings are available online. A Mathematics also involves relationships. Read the informational text about relationships between numbers. Applying Ratios and Proportions Water Rice 1 2 1 4 2 12 6 0 x y Water Rice Representing Ratios Writing Ratios 2:1 2 to 1 2 cups for every 1 cup Unit Rates: Examples • price per pound • miles per hour (mph) • miles per gallon (mpg) Representing Proportional Relationships Two quantities are in a proportional relationship when they change in the same way. A ratio compares amounts. It says how much of one thing there is compared to another thing. A ratio can be scaled up or scaled down. If you multiply one part of the ratio, you need to multiply the other part by the same factor. You can also divide both parts by the same divisor. A unit rate tells how much of one quantity there is for one unit of the other quantity. We read unit rates as one quantity per the other quantity. To make one portion of rice, you need 2 cups of water and 1 cup of rice. When you want to make two portions of rice, you multiply the number of cups of water by two. You also multiply the number of cups of rice by two. 2 cups of water x 2 = 4 cups of water 1 cup of rice x 2 = 2 cups of rice Ratios and Proportional Relationships 1 2 proportional relationship a description of two quantities that change in the same way ratio a number that shows the relationship between two amounts scale up to multiply each part of a ratio by the same factor scale down to divide each part of a ratio by the same divisor unit rate a ratio that compares a quantity of a unit to one unit of another quantity GLOSSARY UNIT 1 34 ESSENTIAL QUESTION How can we use ratios and proportional relationships to make sense of real-life situations? ? BRIDGES TO MATHEMATICS BLC23_SE_LB_U01_034-035_BM.indd 34 9/15/21 12:26 PM 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 WALK-THROUGH BRIDGES TO TECHNOLOGY A Read the informational text. The internet is a good tool for making connections to people and information. You can use it for research and to stay connected to people and the world. The internet is a tool for success! How do you use the internet to research? To stay connected? What careers do you think use the internet often, and why? Who are you, online What’s a digital footprint? Your digital footprint is all of the information that people can find about you online. Your social media, anything you post or like , and your conversations online become part of your digital footprint. The most important thing to remember is that everything is permanent online. There is no digital eraser. How can I be smart about privacy? • remember your passwords and do not share them • never post private information • never share your name, number, and address ? ✘ “troll” (say mean things online) ✘ share private information ✘ believe everything you read ✔ be respectful ✔ remember passwords ✔ learn and explore Do Don’t What are some online dos and don’ts? UNIT 1 36 Your Online Identity ESSENTIAL QUESTION What is important to know about your online identity? ? BLC23_SE_LB_U01_036-037_BT.indd 36 8/30/21 12:29 PM B Discuss. Consider the list of careers. How do you think each person uses the internet in their job? kindergarten teacher journalist taxi driver pilot owner of a grocery store musician nurse sports manager C Read each situation. Write a “do” and a “don’t” for each situation. EXAMPLE Jessie is online and a window pops up. It says: “Hi, want to chat?” Close the window! Write back. 1. Ben’s friend posts a picture of Ben. Ben doesn’t like it. 2. You are researching online. You find some information, and you are not sure if it is true. 3. Your friend asks you for your email password. D Making connections Discuss the questions. 1. Why would someone want the data on your phone or computer? 2. What steps can you take to protect your data? 3. Do you think it is important to keep your phone or computer software up to date? Why or why not? MEET AN APP DESIGNER Maximillian Polhill was only 2 years old when he got his first computer. When he was 8, he was making animated music videos. When he was 11, he opened his own online graphics store. And when he was 14, he developed his first video game app. He learned about technology by asking questions, listening to people around him, and figuring things out by himself. Now he owns his own company, where he programs and develops entire video games all by himself. Do Don’t UNIT 1 37 BLC23_SE_LB_U01_036-037_BT.indd 37 8/30/21 12:29 PM 22
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