Introduction to Ratios: Comparing Quantities
Grade 7 Mathematics Understanding how to compare two quantities
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What Are Ratios?
A ratio compares two quantities using division Shows the relationship between amounts Helps us understand proportions Used everywhere in real life!
Three Ways to Write Ratios
Using a colon: 3:6 As a fraction: 3/6 In words: '3 to 6' All three forms mean the same thing!
Let's Practice Together!
Look at the colored counters Count the blue and red ones Write the ratio in all three forms Work with your partner
Equivalent Ratios
4:8 is the same as 2:4 2:4 is the same as 1:2 We can simplify ratios like fractions Multiply or divide both numbers by the same amount
Ratios in Real Life
{"left":"Recipes: 2 cups flour to 3 cups sugar\nSports: 3 goals scored out of 5 attempts","right":"Money: 5 pencils cost $10\nClasses: 12 boys to 13 girls in our class"}
Quick Check: Can You Solve This?
There are 7 boys and 14 girls in a class Write this ratio in all three forms Can you simplify it? What would be the equivalent ratio?
What We Learned Today
Ratios compare two quantities using division We can write ratios three different ways Equivalent ratios show the same relationship Ratios help us solve real-world problems