Presentation on theme: "Ratios. To make the batch of trail mix, how many scoops of raisins should you use for every 1 scoop of peanuts? Explain your reasoning. Warm-Up The diagram."— Presentation transcript:
To make the batch of trail mix, how many scoops of raisins should you use for every 1 scoop of peanuts? Explain your reasoning. Warm-Up The diagram shows a batch of trail mix that is made using 3 scoops of raisins and 6 scoops of peanuts. 6 + =
Ratio A ratio is a comparison of two numbers or quantities by division. Una razón es una comparación de dos números o cantidades por división. If a batch of trail mix contains 3 scoops of raisins and 6 scoops of peanuts, the ratio comparing raisins to peanuts can be written as follows. 3 to 6 3:6 3/6 Record the definition in your math journal on page R.
Pattern Blocks and Ratios Using your pattern blocks, complete the following questions.
Let’s Talk About Your Activity What were you comparing when you created your ratios? What was the most difficult ratio to create? What made it so challenging? Based on the activity, formulate your own definition of what a ratio is and record it in your math journal.
Ratio Since a ratio can be written as a fraction, it can be simplified. 3/6 = 1/2
Write Ratios in Simplest Form Express each ratio in simplest form. 8 Siamese cats out of 28 cats 8 cats 28 cats The ratio of Siamese Cats to cats is 2/7 or 2 out of 7. 2 7
Express the ratio in simplest form. Example Problems 16 pepperoni pizzas out of 24 pizzas.
Ratio Units When writing ratios that compare quantities with the same kinds of units, convert so that they have the same unit. For example: 1 pound = _______ ounces 1 foot = _______ inches 1 yard = _______ feet 1 cup = _______ ounces
Express each ratio in simplest form. 10 ounces of butter to 1 pound of flour 10 ounces 1 pound The ratio of butter to flour in simplest form is 5/8 or 5:8. Write Ratios in Simplest Form 10 ounces 16 ounces 5 ounces 8 ounces
Express the ratio in simplest form. 30 minutes of commercials to 2 hours of programming.
Express the ratio in simplest form. 6 inches of water for 7 feet of snow
Express the ratio in simplest form. 3 quarts of soda : 1 gallon of juice