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

Lesson 4.44.4 Small Group · Group 2

Start hereWords, worked example, and sentence starters

Name Date Period

Learning target I can find the percent of a number using an equation or a model, 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 4.4. 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% = 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 example

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

140 tickets; 45% are student tickets. How many?

45% = 0.45
0.45 × 140 = 63

Answer: 63 student tickets

Now you trySame steps, your turn

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

Find 40% of 80.

Answer:

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 out!A common mistake

A common mistake in Find the Percent of a Number is multiplying by the percent number itself instead of its decimal form

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

Lesson 4.44.4 Small Group · Group 2

Group 2Challenge practice

Mastery check☐ Exceeds☐ Meets target☐ Needs practice

Name Date Period

Learning target I can find the percent of a number using an equation or a model, explain what each part stands for, and build one for a situation I have not seen before.

1Complete each step, then write the final answer.
Both prices scale by the same factors.
Prize A costs 50 tickets and is 40% off. Prize B costs 90 tickets and is 20% off. Which prize saves you more tickets?
1. 1Divide both prices by 5. What is 20% of 90 for Prize B?
2. 2What is 20% of 50? Then double it. What is 40% of 50?
3. 3Compare the two discounts. Which prize saves more?
Final answer:
2Complete each step, then write the final answer.
Read 20% for Store B and 15% for Store A.
Store A has an $80 coat at 15% off. Store B has a $64 coat at 20% off. Which store gives a bigger discount in dollars?
1. 1Divide 100% by 5 to get 20%. What is 20% of $64?
2. 2Find 5% of $80. Then multiply by 3. What is 15% of $80?
3. 3Why can't you just compare 15% and 20%?
Final answer:
3Complete each step, then write the final answer.

Find 35% of 260.
Show your work
Final answer:
4Complete each step, then write the final answer.

Read 20% of 150 and 25% of 100.
How much more is 20% of 150 than 25% of 100?
Show your work
Final answer:
5Complete each step, then write the final answer.

A school has 640 students. 45% of the students are in a club. How many students are in a club?
Show your work
Final answer:
6Complete each step, then write the final answer.

Ali's way: 10% and 5% in one table.
Ali finds 15% of 70 as 10% plus 5%. Bea finds 5% and multiplies by 3. Do they get the same answer? What is 15% of 70?
Show your work
Final answer:

Explain your thinkingA $200 bike is 10% off. A $120 bike is 15% off. Which saves more? Is a bigger percent always a bigger discount?

ChallengeWrite your own problem

Write a new word problem that uses this lesson's idea. Then solve it and show every step.

3-Point Exit Checklist: ☐ 1. Units & Labels Verified ☐ 2. Mathematical Reasoning Stated ☐ 3. Calculations Double-Checked

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