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|Simplify the ratios below. (the first one is done for you)|
|48 : 60 4 : 5||44 : 22 2 : 1||100 : 75 4 : 3|
|500 : 200 5 : 2||60 : 95 12 : 19||625 : 25 25 : 1|
|800 : 15 160 : 3||2400 : 60 40 : 1||99 : 66 3 : 2|
|Answer the questions below. Simplify the ratios if necessary.|
|When cooking rice the instructions say to use 1 cup rice to 2 cups of water. What is the ratio of rice to water? 1 : 2|
|Lawn fertilizer should be mixed with 1 part fertilizer to 12 parts water. What is the ratio of fertilizer to water? 1 : 12|
|A class has 15 girls and 10 boys. What is the ratio of girls to boys? 3 : 2|
|A football pitch is 100 meters long and 50 meters wide. What is the ratio of its length to its width? 2 : 1|
|A bus company has 24 buses and 30 drivers. What is the ratio of buses to drivers? 4 : 5|
|A town has a total population of 10,000 with 4 parks. What is ratio of parks to people? 1 : 2,500|
|A school has 500 students and 25 teachers. What is the ratio of teachers to students? 1 : 20|
|A company offers to give $50 to charity for every $200 raised by its employees. What is the ratio of the money given by the company to the money given by the employees? 1 : 4|
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The various resources listed below are aligned to the same standard, (6RP03) taken from the CCSM (Common Core Standards For Mathematics) as the Ratio and proportion Worksheet shown above.
Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations.
- Make tables of equivalent ratios relating quantities with whole-number measurements, find missing values in the tables, and plot the pairs of values on the coordinate plane. Use tables to compare ratios.
- Solve unit rate problems including those involving unit pricing and constant speed. For example, if it took 7 hours to mow 4 lawns, then at that rate, how many lawns could be mowed in 35 hours? At what rate were lawns being mowed?
- Find a percent of a quantity as a rate per 100 (e.g., 30% of a quantity means 30/100 times the quantity); solve problems involving finding the whole, given a part and the percent.
- Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities.
- Customizable Percentage Chart – You enter the values!
- Converting Between Ounces & Grams (0g – 1000g plus blank scaled lines)
- Calculating Percentage Values e.g. 62% of 12 = 7.44
- Calculating Percentage Values e.g. 225% of 45 = 101.25
- Decimals to Percent e.g. .45 = 45%
- Fractions to Percent e.g. 7/100 = 7%
- Calculating using Percentage Values e.g. 72 is 25% of 288
- Simplifying Ratios (1 of 2) e.g. 4:2 = 2:1 (includes prompts to divide by G.C.F)
- Comparing Fractions (4 of 4) – ordering fractions, decimals, and percentages
- Fractions, Decimals, & Percentages (1 of 2) – fill in equivalents chart
- Fractions, Decimals, & Percentages (2 of 2) – fill in equivalents chart
Similar to the above listing, the resources below are aligned to related standards in the Common Core For Mathematics that together support the following learning outcome:
Understand ratio concepts and use ratio reasoning to solve problems
- Direct Proportion (From Example/Guidance)
- How To Simplify Ratios (From Example/Guidance)
- Ratios & Unit Rates (From Example/Guidance)
- Using Ratios & Proportions (From Example/Guidance)
- Ratios & Proportions (From Summary)
- Fractions, Decimals, & Percentages Cards e.g. 75% = 0.75 = 3/4 (From Activity)
- Writing Ratio (From Worksheet)
- Working with Ratio & Rates (From Worksheet)
- Writing Ratios (1 of 2) based on graphical questions (From Worksheet)
- Writing Ratios (2 of 2) (From Worksheet)