Understanding Ratios and Percentages

In this lesson, Kaley introduces the concept of part-part-whole ratios using a paint mixing simulation. Students learn to mix different colors to create brown and calculate the ratios of colors used. The lesson then shifts to using cereal and marshmallows to explore ratios further, including comparing parts to the whole. Advanced concepts are introduced, such as converting ratios to fractions and percentages, providing a comprehensive understanding of ratios in real-world contexts.

What is the first step in creating a part-part-whole ratio using paint colors?

• Mixing different amounts of colors

• Choosing a single color

• Using only primary colors

• Mixing equal parts of all colors

If you have 5 reds, 4 yellows, and 3 blues, what is the ratio of red to blue?

• 4 to 3

• 3 to 5

• 5 to 4

• 5 to 3

How can you compare all three paint colors at once?

• By using a single color

• By writing a combined ratio

• By mixing them equally

• By ignoring one color

In the cereal example, what is considered the 'whole'?

• The largest part

• The total pieces of cereal

• Only the marshmallows

• Only the oats

What is the ratio of star marshmallows to total marshmallows if there are 4 stars and 12 total marshmallows?

• 1 to 3

• 3 to 1

• 12 to 4

• 4 to 12

How do you convert a ratio to a fraction?

• By multiplying the parts

• By writing it as a numerator over a denominator

• By adding the parts

• By dividing the parts

What is the decimal equivalent of the ratio 12 to 124?

• 0.012

• 0.096

• 1.24

• 0.12

How do you convert a decimal to a percentage?

• Add 100 to the decimal

• Move the decimal two places to the right

• Divide by 100

• Multiply by 10

What percentage of the cereal is marshmallows if the ratio is 12 to 124?

• 9.6%

• 1.24%

• 96%

• 12%

What is the purpose of converting ratios to percentages?

• To make them harder to understand

• To increase their value

• To make them easier to compare

• To decrease their value