IM Grade 6 Unit 2 End of Unit Assessment Review

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What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another. It can be expressed in different forms, such as fractions, decimals, or with a colon (e.g., 3:5).

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

Back

To find the total number of items in a ratio problem, first, determine the total parts of the ratio. Then, divide the total quantity by the total parts to find the value of one part, and multiply by the number of parts for each category.

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What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together. It expresses how much of one quantity corresponds to one unit of another quantity, often expressed as 'per' (e.g., miles per hour, dollars per gallon).

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How do you calculate a unit rate from a total cost?

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To calculate a unit rate from a total cost, divide the total cost by the number of units. For example, if 4 gallons of milk cost $11, the unit rate is $11 ÷ 4 = $2.75 per gallon.

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What is the relationship between blue and green marbles in the given problem?

Back

The relationship is expressed as a ratio of 9 blue marbles for every 1 green marble, which can also be written as 9:1.

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How can you use a tape diagram to solve ratio problems?

Back

A tape diagram visually represents the parts of a ratio. Each segment of the tape represents a part of the ratio, making it easier to see how many total parts there are and how to divide a total quantity among those parts.

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What is the first step in solving a problem involving mixing ratios?

Back

The first step is to identify the quantities of each component in the mixture and express them in the same terms to find a common ratio.

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How do you determine if two ratios are equivalent?

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Two ratios are equivalent if they simplify to the same fraction or if their cross products are equal. For example, the ratios 2:3 and 4:6 are equivalent because 2/3 = 4/6.

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What is the formula to find the cost of a different quantity based on a known cost?

Back

The formula is: (Cost of known quantity / Known quantity) x Desired quantity = Cost of desired quantity.

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How do you set up a proportion to solve for an unknown?

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To set up a proportion, write two ratios equal to each other, then cross-multiply to solve for the unknown variable.