Math 8 Numeracy Date: ______________ Chapter 2 Ratio, Rate and Proportional Reasoning Name: ___________________ Lesson 2: Equivalent Ratios By the end of this lesson students will know: Mathematical strategies for solving problems involving ratios, including tables, and equivalent fractions. By the end of this lesson, students will be able to: Make tables of equivalent ratios. Find missing values in tables of equivalent ratios. Warm up: Julie swims 1 lap for every 3 laps that Joe swims. Eliza made a table showing this relationship: Julie 1 4 7 10 3 6 9 12 Joe Is Eliza correct? Why? _______________________________________________________________________________________ _______________________________________________________________________________________ The correct table is: Julie 1 3 Joe 4 7 10 Example 1: Complete the following tables Cost of Potatoes Pounds of Cost Potatoes 2 $3.00 4 $6.00 6 8 2 5 10 30 120 150 Example 2: Michaela charges $6.50 per hour to babysit. Complete the table below to show how much she would earn. Babysitting Earnings Hours Worked 1 2 3 4 5 6 Amount Earned Math 8 Numeracy Date: ______________ Chapter 2 Ratio, Rate and Proportional Reasoning Name: ___________________ Lesson 2: Equivalent Ratios Example 3: At birth, a baby blue whale weighs 5,000 pounds. The baby whale continues to gain 200 pounds per day. Make a table showing how much the baby whale gains in one week. Remember to include a title and label each column. Weight Gain of a Baby Whale Day 0 (birth) 5000 What will the baby whale weigh at the end of 10 days? How did you find your answer? Example 4: The drama club mixes paint needed for scenery. To make green, the ratio is 2 pints of blue per 3 pints of yellow. Fill in the missing numbers below. Explain your thinking. Mixing Green Paint BLUE 2 1 20 3 YELLOW 9 50 15 60 Example 5: It takes Hans 6 hours to read 480 pages. Today, he is going to read for 5 hours. How many pages will he read? Fill out the table below to figure out how many pages Hans will read. Pages Read HOURS PAGES 1 2 240 6 480 Try: In one day you earn $108 for 8 hours of work. If you work 32 hours for the week, what will your weekly pay be?
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