Understanding Ratios and Percentages

Mr. Briggs introduces a lesson on comparing and scaling, focusing on understanding ratios. The lesson covers how to express ratios as fractions, decimals, and percentages, and how to find equivalent ratios. Students are guided through examples and practice problems to reinforce their understanding.

What is the main focus of the new unit introduced in the lesson?

• Exploring calculus

• Understanding algebraic expressions

• Comparing and scaling

• Learning about geometry

What is the learning target for this lesson?

• To understand how relationships between values can be viewed in different ways

• To solve complex equations

• To memorize mathematical formulas

• To learn about historical mathematicians

What is a ratio?

• A comparison between two different units

• A relationship between two numbers of the same kind

• A type of graph

• A mathematical operation

Which of the following is an example of a ratio given in the lesson?

• Apples to oranges

• Flour to water

• Kilometers to miles

• Liters to gallons

How is a ratio expressed as a fraction?

• By subtracting the smaller number from the larger

• By multiplying the two numbers

• By adding the two numbers

• By dividing the first number by the second

What is the decimal equivalent of the ratio 2 to 5?

• 0.6

• 0.5

• 0.4

• 0.25

How do you convert a decimal to a percentage?

• Divide by 100

• Add 100

• Subtract 100

• Multiply by 100

What is the percentage equivalent of the decimal 0.4?

• 20%

• 40%

• 50%

• 30%

What is the first step in converting a fraction to a decimal?

• Multiply the numerator by 100

• Divide the numerator by the denominator

• Add the numerator and denominator

• Subtract the denominator from the numerator

How do you express the ratio 3 to 2 as a fraction?

• 2/3

• 3/1

• 3/2

• 1/2