Lesson 4.24.2 Small Group · Group 2
Start hereWords, worked example, and sentence starters
Learning target I can write equivalent fractions, decimals, and percents for the same value, explain what each part stands for, and build one for a situation I have not seen before.
Why This Matters This is your challenge small group for Lesson 4.2. You can already get the answer — so in here the answer is the starting point. We ask when the method holds, when it breaks, and how you would convince someone who disagrees.
Start hereWords for this lesson
Read each word before you begin. Say it out loud.
| Word | What it means | Example |
|---|---|---|
| PercentSpanish: Porcentaje | A way to compare a number to 100, shown with the % sign. | 45% = 45 out of 100 |
| DecimalSpanish: Decimal | A number with a dot, like 0.5, that shows a part less than one. | 0.45 = 45 hundredths |
| EquivalentSpanish: Equivalente | Having the same value, just written a different way. | 3/4 = 0.75 = 75% |
| BenchmarkSpanish: Referencia | A familiar number you use to guess, like 50% or 1/2. | 50% = one half |
| DiscountSpanish: Descuento | Money taken off the first price to make it cheaper. | $40 shirt at 25% off: discount = $10 |
| HundredthsSpanish: Centésimos | The second place after the decimal point; parts out of 100. | 0.09 = 9 hundredths |
How it worksWorked example
These numbers are not on your problems. The steps are. Follow them with your own numbers.
20 students voted. 7 chose green. Write the green votes as a fraction, a decimal, and a percent.
- Fraction: 7/20.
- 20 × 5 = 100, so 7/20 = 35/100.
- 35/100 = 0.35 = 35%.
Answer: 7/20 = 0.35 = 35%
Now you trySame steps, your turn
The steps are the same as the worked example. The numbers are yours. Do the work.
Write 1/5 as a fraction out of 100, a decimal and a percent.
Say it and write itSentence starters
Finish each sentence out loud with a partner. Then use them in your writing.
- / is the same value as written as a decimal.
- To change a decimal into a percent I .
- % means out of every hundred.
- I know these three forms are equivalent because .
Word bank percentdecimalfractionequivalenthundredthsdenominatornumeratorsimplest formbenchmarkscalewholepart
Watch out!A common mistake
A common mistake in Relate Fractions, Decimals, and Percents is treating the numerator and denominator as the percent's digits
Lesson 4.24.2 Small Group · Group 2
Group 2Challenge practice
Learning target I can write equivalent fractions, decimals, and percents for the same value, explain what each part stands for, and build one for a situation I have not seen before.
Why This Matters This is your challenge small group for Lesson 4.2. You can already get the answer — so in here the answer is the starting point. We ask when the method holds, when it breaks, and how you would convince someone who disagrees.
-
1Complete each step, then write the final answer.
Write 1/8 as a decimal and a percent.
- 1Can 8 scale to 100 with a whole number? Find 100 ÷ 8.
- 212.5 is not whole. Divide 1 and 8 by 8. What goes over the 1?
- 3Multiply both terms by 100. What percent is it?
Final answer: -
2Complete each step, then write the final answer.
Write 2/3 as a decimal and a percent. Round the percent to the nearest whole percent.
- 1Divide 2 and 3 by 3. What goes over the 1? What repeats?
- 2Multiply by 100 and round. What percent is it?
- 3Why can't you scale 2/3 to a fraction out of 100?
Final answer: -
3Complete each step, then write the final answer.
Write 3/40 as a decimal.
Show your workFinal answer: -
4Complete each step, then write the final answer.
A fraction with a denominator of 20 is equal to 35%. What is its numerator?
Show your workFinal answer: -
5Complete each step, then write the final answer.
A koala sleeps 7/8 of a day. A sloth sleeps 80% of a day. Write the koala's sleep as a percent. Which animal sleeps more?
Show your workFinal answer: -
6Complete each step, then write the final answer.
Lily says 1/4 is 0.4, because the 4 moves after the decimal point. Write 1/4 as a decimal.
Show your workFinal answer: