IM Grade 6 Unit 2 End of Unit Assessment Review

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another, often expressed as 'a to b' or a:b.

Front

How do you find the total number of items in a ratio?

Back

To find the total number of items in a ratio, add the parts of the ratio together and then use that sum to determine the quantity of each part based on the total.

Front

If the ratio of purple bikes to red bikes is 8 to 12, how do you find the number of purple bikes if there are 100 bikes total?

Back

First, find the total parts in the ratio (8 + 12 = 20). Then, divide the total number of bikes (100) by the total parts (20) to find the value of one part (100 ÷ 20 = 5). Multiply the number of purple bikes (8) by the value of one part (8 × 5 = 40).

Front

What is an equivalent ratio?

Back

An equivalent ratio is a ratio that expresses the same relationship between two quantities, even if the numbers are different. For example, 1:2 and 2:4 are equivalent ratios.

Front

How do you create equivalent ratios?

Back

To create equivalent ratios, you can multiply or divide both terms of the ratio by the same non-zero number.

Front

What is a tape diagram?

Back

A tape diagram is a visual representation of a ratio or a fraction, often used to help solve problems involving proportions.

Front

How can you use a double number line to compare ratios?

Back

A double number line is a visual tool that shows two related quantities along two parallel lines, helping to identify equivalent ratios and understand their relationships.

Front

If the ratio of red fish to blue fish is 3:5 and there are 20 blue fish, how do you find the number of red fish?

Back

Set up a proportion: 3/5 = x/20. Cross-multiply to find x: 3 * 20 = 5 * x, so x = 12.

Front

What is the purpose of drawing a tape diagram in ratio problems?

Back

Drawing a tape diagram helps visualize the parts of a ratio, making it easier to understand the relationship between the quantities and solve the problem.

Front

How do you solve for missing numbers in equivalent ratios?

Back

To solve for missing numbers in equivalent ratios, set up a proportion and cross-multiply to find the unknown value.