IM Grade 6 Unit 2 End of Unit Assessment Review

Front

What is a ratio?

Back

A ratio is a relationship between two numbers that shows how many times the first number contains the second. For example, a ratio of 3:5 means for every 3 of the first item, there are 5 of the second.

Front

How do you find the number of items in a ratio when one quantity is known?

Back

To find the unknown quantity in a ratio, set up a proportion. For example, if the ratio of red fish to blue fish is 3:5 and there are 20 blue fish, you can set up the equation 3/5 = x/20 and solve for x.

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together. It is expressed as a quantity of one item per one unit of another item, such as 9 students per team.

Front

How do you calculate the cost of multiple items based on a known cost?

Back

To calculate the cost of multiple items, first find the cost per item by dividing the total cost by the number of items. Then, multiply the cost per item by the number of items you want to find the total cost.

Front

If 3 apples cost $9.99, how do you find the cost of 1 apple?

Back

To find the cost of 1 apple, divide the total cost by the number of apples: $9.99 ÷ 3 = $3.33 per apple.

Front

What is the formula to find the total cost based on a unit price?

Back

Total Cost = Unit Price × Quantity. For example, if 1 gallon of milk costs $2.75, then 4 gallons would cost $2.75 × 4 = $11.

Front

How do you determine the cost of an item when given a different quantity?

Back

Use the unit price to find the cost of the new quantity. If 4 gallons cost $11, then the cost of 7 gallons can be found by first finding the unit price ($11 ÷ 4) and then multiplying by 7.

Front

What is the relationship between time and earnings in a work scenario?

Back

Earnings can be calculated based on the time worked. If you earn a certain amount every few weeks, you can find out how much you will earn in a different time frame by setting up a proportion.

Front

How do you solve a problem involving proportional relationships?

Back

Identify the two quantities that are proportional, set up a proportion, and solve for the unknown. For example, if you earn $15 every 3 weeks, you can find out how much you earn in 5 weeks by setting up the proportion.

Front

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

Back

A tape diagram visually represents the relationship between quantities in a ratio, making it easier to understand and solve for unknowns.