Understanding Part to Part Ratios: Using Diagrams

The video tutorial introduces the concept of ratios, explaining their numerical representation and common mistakes students make, particularly confusing ratios with fractions. It explores different types of ratios, focusing on part-to-part comparisons, and emphasizes the importance of context. A scenario involving a roller coaster is used to illustrate part-to-part ratios, highlighting the significance of order and language in expressing ratios.

What is a common mistake students make when learning about ratios?

• Confusing ratios with fractions

• Confusing ratios with percentages

• Confusing ratios with whole numbers

• Confusing ratios with decimals

Which of the following is NOT a type of ratio?

• Part-to-whole

• Part-to-total

• Part-to-part

• Common rates

In the roller coaster example, how many people liked the ride?

• Eight

• Ten

• Five

• Three

What is the ratio of people who did not like the roller coaster to those who did?

• 8 to 3

• 3 to 8

• 3 to 5

• 5 to 3

Why is the order important when expressing ratios?

• It changes the meaning of the comparison

• It affects the total number of items

• It determines the type of ratio

• It affects the mathematical operation used

If the ratio was expressed as 5 to 3, what would it imply?

• Three people did not like the ride and five did

• Three people liked the ride and five did not

• Five people did not like the ride and three did

• Five people liked the ride and three did not

What phrase is commonly used in part-to-part ratio comparisons?

• For every

• Out of

• In total

• As a whole