Exploring Ratios and Percents in 6th Grade Math

The video tutorial covers the sixth-grade concept of representing ratios, specifically focusing on a problem from the 2016 released STAR test. It explains how to interpret a fractional model, convert ratios to decimals and percents, and simplify fractions. The tutorial provides step-by-step guidance on solving the problem, emphasizing the importance of understanding the painted area in the model and demonstrating how to simplify fractions to find equivalent forms.

What grade level is the concept of representing ratios taught in?

• 6th Grade

• 5th Grade

• 7th Grade

• 8th Grade

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

What does the shaded area in the model represent?

• Total area

• Unused space

• Unpainted area

• Painted area

Tags

CCSS.3.NF.A.2B

CCSS.3.NF.A.1

What is the total area of the model based on the given dimensions?

• 40 squares

• 35 squares

• 30 squares

• 45 squares

Tags

CCSS.3.MD.C.5A

How is the ratio of the painted area to the total area initially expressed?

• 24 to 35

• 24 to 40

• 25 to 40

• 23 to 40

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

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

• Multiply the numerator by 100

• Divide the numerator by the denominator

• Subtract the denominator from 100

• Add the numerator to the denominator

Tags

CCSS.7.NS.A.2D

CCSS.8.NS.A.1

What decimal does the fraction 24/40 convert to?

• 0.5

• 0.6

• 0.7

• 0.8

How do you convert a decimal to a percent?

• Divide by 100

• Multiply by 100

• Subtract from 100

• Add 100

What is the simplified form of the fraction 24/40?

• 6/10

• 12/20

• All of the above

• 3/5

What percent represents the painted area of the model?

• 50%

• 65%

• 55%

• 60%

Which method simplifies the calculation of converting a fraction to a percent?

• None of the above

• Using a calculator

• Estimating the decimal

• Reducing the fraction first