Ratio tables

Learning Objectives Define what a ratio table is and its purpose. Create a ratio table from a given ratio or word problem. Use multiplication and division to find equivalent ratios and fill in missing values in a ratio table. Identify and explain the proportional relationship shown in a ratio table. Solve real-world problems by constructing and using ratio tables. Explain how ratio tables help organize and visualize equivalent ratios. Have you ever needed to double a recipe or figure out how many snacks you need for a party? 🤔 Ratio tables are super helpful tools for problems like these! In this lesson, you'll learn all about ratio tables – what they are, how to build them, and how to use them to solve problems involving equivalent ratios. Understanding ratio tables w...

TermDefinitionExample RatioA comparison of two quantities by division. It shows how much of one thing there is compared to another.If there are 3 red apples for every 2 green apples, the ratio of red to green apples is 3:2. Equivalent RatiosRatios that express the same relationship or have the same value. They can be obtained by multiplying or dividing both parts of a ratio by the same non-zero number.The ratio 3:2 is equivalent to 6:4 because both parts of 3:2 were multiplied by 2. Ratio TableA table that organizes equivalent ratios in an easy-to-read format. Each row in the table represents an equivalent ratio.A table with columns for 'Cups of Flour' and 'Cups of Sugar', showing (1, 2), (2, 4), (3, 6) as equivalent ratios. ScalingThe process of multiplying or dividin...

Generating Equivalent Ratios $$ \frac{a}{b} = \frac{a \times k}{b \times k} \quad \text{or} \quad \frac{a}{b} = \frac{a \div k}{b \div k} $$ To find an equivalent ratio, you must multiply or divide both quantities (the numerator and the denominator, or both numbers in a ratio pair) by the same non-zero number ($k$). This maintains the proportional relationship. Filling a Ratio Table Each row in a ratio table represents an equivalent ratio. To move from one row to another, identify the scaling factor ($k$) that relates the known quantities, then apply that same factor to the other quantity. If you know that one quantity in a ratio table was multiplied by 3 to get to the next row, the other quantity must also be multiplied by 3. This applies to division as well. Finding Mi...