Ratios and proportions

Learning Objectives Identify and write a simple ratio from a word problem. Find an equivalent ratio using multiplication or division. Solve for a missing part of a proportion. Use addition to find the total amount in a ratio problem. Use subtraction to find the difference between parts in a ratio problem. Solve two-step word problems involving ratios and mixed operations (multiplication/division and addition/subtraction). If your favorite juice recipe needs 2 apples for every 3 oranges, how many oranges do you need if you have 6 apples? 🍎🍊 Let's find out! Today, we will learn about ratios, which are a way to compare two numbers. We will see how to use multiplication, division, addition, and subtraction to solve fun real-world problems involving ratios. This will help...

TermDefinitionExample RatioA ratio compares the amount of one thing to the amount of another thing. We often use the words 'for every' or 'to' when talking about ratios.In a fruit bowl, there are 3 apples for every 4 bananas. The ratio of apples to bananas is 3 to 4. PartOne of the numbers in a ratio. It represents one group being compared.In the ratio 3 apples to 4 bananas, the '3 apples' is one part and the '4 bananas' is another part. Whole (or Total)The total number of items when you add all the parts of a ratio together.In the ratio 3 apples to 4 bananas, the whole is 3 + 4 = 7 fruits in total. Equivalent RatiosRatios that have the same value, even though the numbers are different. You can find them by multiplying or dividing both parts of a ra...

Scaling Up a Ratio (Multiplication) If a:b, then (a \times N) : (b \times N) To make a ratio bigger (for a larger group), multiply both parts of the ratio by the same whole number (N). Scaling Down a Ratio (Division) If a:b, then (a \div N) : (b \div N) To simplify a ratio or make it smaller, divide both parts of the ratio by the same whole number (N). Finding the Total Total = Part_1 + Part_2 To find the total number of items in one ratio group, add the parts together.