• ### O.1. Writing Ratios

3. #### O.1.1. Expressing Quantities as Ratios

1. O.1.1.O. Overview
2. O.1.1.1. Express two quantities as a ratio
3. O.1.1.2. Write a ratio three ways
4. O.1.1.3. Express two measurements as a ratio
5. O.1.1.4. Express a quantity and a total as a ratio
6. O.1.1.5. Write ratios of two or three quantities
4. #### O.1.2. Writing Ratios of Three or More Quantities

1. O.1.2.O. Overview
2. O.1.2.1. Express quantities and totals as a ratio
3. O.1.2.2. Write ratios when quantities are multiples of other quantities
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• ### O.2. Equivalent Ratios

3. #### O.2.1. Finding Equivalent Ratios

1. O.2.1.O. Overview
2. O.2.1.1. Find an equivalent ratio of two quantities by multiplying by a common factor
3. O.2.1.2. Find an equivalent ratio of two quantities by dividing by a common factor
4. O.2.1.3. Find an equivalent ratio of three quantities by multiplying by a common factor
5. O.2.1.4. Find an equivalent ratio of three quantities by dividing by a common factor
6. O.2.1.5. Tell whether the ratios are equivalent
4. #### O.2.2. Completing Tables of Ratios

1. O.2.2.O. Overview
2. O.2.2.1. Table is in increasing order
3. O.2.2.2. Table is in mixed order
4. O.2.2.3. Table is in decreasing order
5. #### O.2.3. Comparing Ratios Word Problems

1. O.2.3.O. Overview
2. O.2.3.1. Compare the two ratios
3. O.2.3.2. Compare the three ratios
6. #### O.2.4. Writing Ratios of Two Quantities in Simplest Form

1. O.2.4.O. Overview
2. O.2.4.1. Write a ratio with two terms in simplest form
3. O.2.4.2. Tell whether the ratio is in simplest form – two quantities
4. O.2.4.3. Tell which ratio is in simplest form – two quantities
5. O.2.4.4. Write the ratio of two quantities in simplest form
6. O.2.4.5. Simplest form word problems – two quantities
7. #### O.2.5. Writing Ratios of Three Quantities in Simplest Form

1. O.2.5.O. Overview
2. O.2.5.1. Write a ratio with three terms in simplest form
3. O.2.5.2. Tell whether the ratio is in simplest form – three quantities
4. O.2.5.3. Tell which ratio is in simplest form – three quantities
5. O.2.5.4. Express three quantities as a ratio and simplify
6. O.2.5.5. Write the ratio of three quantities in simplest form
7. O.2.5.6. Simplest form word problems – three quantities
8. #### O.2.6. Writing Ratios of Decimals and Fractions in Simplest Form

1. O.2.6.1. Write the decimal ratio in simplest form
2. O.2.6.2. Write the decimal ratio in simplest form – word problems
3. O.2.6.3. Write the fraction ratio in simplest form
4. O.2.6.4. Write the fraction ratio in simplest form – word problems
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• ### O.3. Word Problems: Ratio, Parts, and Total

3. #### O.3.1. Finding Terms and Totals Given a Ratio of Two Whole Numbers

1. O.3.1.O. Overview
2. O.3.1.1. Given one term and a ratio, find the other term
3. O.3.1.2. Given one term and a ratio, find the total amount
4. O.3.1.3. Given the total amount and a ratio, find each term
5. O.3.1.4. Given one term and a ratio, find the other term and use it to solve a word problem
4. #### O.3.2. Finding Terms and Totals Given a Ratio of Three Whole Numbers

1. O.3.2.O. Overview
2. O.3.2.1. Given the total amount and a ratio, find each term
3. O.3.2.2. Given two terms, a ratio, and a total amount, find the missing term
5. #### O.3.3. Finding Terms and Totals Given a Ratio of Two Fractions

1. O.3.3.O. Overview
2. O.3.3.1. Given one term and a ratio of fractions, find the other term
3. O.3.3.2. Given the total amount and a ratio of fractions, find each term
6. #### O.3.4. Changing Two Ratios into a Three-Term Ratio

1. O.3.4.O. Overview
2. O.3.4.1. Solving word problems by changing two-term ratios into a three-term ratio
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• ### O.4. Ratios as Fractions

3. #### O.4.1. Writing Ratios as Fractions and Vice Versa

1. O.4.1.O. Overview
2. O.4.1.1. Write the ratio as a fraction
3. O.4.1.2. Write the ratio as a fraction – word problems
4. O.4.1.3. Write the fraction as a ratio
5. O.4.1.4. Write the fraction as a ratio – word problems
6. O.4.1.5. Express the two quantities as a ratio and write as a fraction
4. #### O.4.2. Finding the Ratio and Comparing the Relative Size of Quantities

1. O.4.2.O. Overview
2. O.4.2.1. Determine how many times larger one quantity is compared to the other
3. O.4.2.2. Determine how many times larger and smaller two quantities are compared to each other
4. O.4.2.4. Determine the relative size of one quantity compared to a total
5. O.4.2.5. Compare the relative sizes of quantities – three term ratios
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• ### O.5. Ratio: Challenge Problems

3. #### O.5.1. Using Ratios to Solve Sum and Difference Word Problems

1. O.5.1.O. Overview
2. O.5.1.1. Using ratios to solve difference word problems – two terms
3. O.5.1.2. Using ratios to solve sum word problems – two terms
4. O.5.1.3. Using ratios to solve difference word problems – three terms
5. O.5.1.4. Using ratios to solve sum word problems – three terms
6. O.5.1.5. Using ratios to solve perimeter and area word problems
7. O.5.1.6. Using ratios to solve two-term word problems with changing quantities
8. O.5.1.7. Using ratios to solve three-term word problems with changing quantities
9. O.5.1.8. Using two different ratios to solve sum and difference word problems
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