Grade 6 Mathematics · Unit 4: Understand and Use PercentagesStandard 6.AT.4

Lesson 4.44.4 Small Group · Group 1

Start hereWords, worked example, and sentence starters

Name Date Period

Learning target With my small group, I can find the percent of a number using an equation or a model — one step at a time, with support.

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% = 0.45
BaseSpanish: Base	The whole amount you start with — the number right after the word “of.”	45% of 300 → base is 300
PartSpanish: Parte	How much of the base (the whole) you get. It is your answer.	45% of 300 is 135
EquationSpanish: Ecuación	A number sentence with an equal sign. The percent one is: part = percent × base.	part = 0.45 × 300
DiscountSpanish: Descuento	Money taken off the first price to make it cheaper.	$40 shirt at 25% off: discount = $10
Double number lineSpanish: Recta numérica doble	Two number lines that line up percents with amounts.	0%–100% over 0–300

How it worksWorked examplefinding the percent of a number

These numbers are not on your problems. The steps are. Follow them with your own numbers.

A store display holds 250 hats, and 36% of them are blue. How many of the hats are blue?

Name the pieces: the base is 250 hats, the percent is 36%, the part is unknown.
Write the percent in hundredths: 36% becomes 0.36
Write the equation: part = 0.36 × 250
Multiply, then check that the part is smaller than the base.

Answer: 90 of the hats in the display are blue.

Now you trySame steps, your turn

The steps are the same as the worked example. The numbers are yours. Do the work.

A farm keeps 140 goats, and 45% of them are brown. How many of the goats are brown?

Base: goats Percent: % Part: unknown
Percent written in hundredths:
Equation: part = ×
Multiply: part = goats

Answer:number of brown goats

Say it and write itSentence starters

Finish each sentence out loud with a partner. Then use them in your writing.

The base is and the percent is %.
Written in hundredths, % is .
My equation is part = × .
The part is , which is smaller than the base because .

Word bank percentbasewholepartequationdecimalhundredthsmultiplydouble number lineofcheckestimate

Watch outA common mistake

A common mistake in Find the Percent of a Number is multiplying by the percent number itself instead of its decimal form — for example, finding 30% of 80 by computing 30 × 80 = 2,400 instead of 0.30 × 80 = 24. Always divide the percent by 100 to get the decimal, then multiply that decimal by the base.

Grade 6 Mathematics · Unit 4: Understand and Use PercentagesStandard 6.AT.4

Lesson 4.44.4 Small Group · Group 1

Group 1Supported practice

Mastery check☐ Exceeds☐ Meets target☐ Needs practice

Name Date Period

Learning target With my small group, I can find the percent of a number using an equation or a model — one step at a time, with support.

1Complete each step, then write the final answer.
Find 10% first. Then scale up to 30%.
Find 30% of 70.
1. 1What number matches 100% in the first column?
2. 2Divide both by 10. What is 10% of 70?
3. 3What do you multiply 10% by to reach 30%?
4. 4Do the same to the other row. What is 30% of 70?
Final answer:
2Complete each step, then write the final answer.
100% is the whole class of 32 students.
A class has 32 students. 75% of them have a library card. How many students have a library card?
1. 1How many students match 100%, the whole class?
2. 2Divide both by 4. What is 25% of 32?
3. 3What do you multiply 25% by to reach 75%?
4. 4Do the same to the other row. What is 75% of 32?
Final answer:
3Complete each step, then write the final answer.

Find 50% of 64.
Show your work
Hint Put 100% and 64 in the first column. What do you divide 100 by to get 50?
Final answer:
4Complete each step, then write the final answer.

Find 15% of 80.
Show your work
Hint Put 100% and 80 in the first column. Find 5% first. Then multiply to reach 15%.
Final answer:
5Complete each step, then write the final answer.

A pair of shoes costs $45. The shoes are 20% off. How many dollars do you save?
Show your work
Hint Put 100% and 45 in the first column. What do you divide 100 by to get 20?
Final answer:
6Complete each step, then write the final answer.

Theo says 40% of 50 is 2,000, because 40 × 50 = 2,000. What is 40% of 50?
Show your work
Hint 100% matches 50, so 40% must be less than 50. Find 20% first, then double it.
Final answer:

Explain your thinkingTheo says 40% of 50 is 2,000. In a ratio table, 100% matches 50. How does that show his answer is too big?

Sentence starter 100% matches ___, so 40% must be ___. · In the table, I ___ both rows by the same number.

How did it go? ☐ 4 · I can teach it☐ 3 · I've got it☐ 2 · I need a hint☐ 1 · I need help