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

Lesson 4.4Compare with Percents

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.

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.	75% = 75 out of 100
BaseSpanish: Base	The whole amount you start with — the number right after the word “of.”	25% of 80 → the whole is 80.
PartSpanish: Parte	How much of the base (the whole) you get. It is your answer.	25% of 80 = 20 → the part is 20 (20 out of the 80).
EquationSpanish: Ecuación	A number sentence with an equal sign. The percent one is: part = percent × base.	part = percent × base — like 20 = 0.25 × 80.
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% on one line over 0–300 on the other.

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

Mia made 21 of 28 shots. Leo made 16 of 20. Who has the better rate?

Answer: Leo (80% > 75%), even though Mia made more shots

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

Word bank percentpartwholepart-to-wholeequivalent fractionsimplest formscalecomparegreaterlessfairout of

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

Apply Day · Version ASupported 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.

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

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

Apply Day · Version BCore 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.

1Complete 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
Final answer:
2Complete each step, then write the final answer.

Find 35% of 260.
Show your work
Final answer:
3Complete each step, then write the final answer.

Find 20% of 35.
Show your work
Final answer:

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

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

Apply Day · ChallengeExtension

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.

1Circle the letter of the best answer. Show how you know.
At West Middle School, 45% of the 360 sixth-grade students participate in after-school sports. How many sixth-grade students participate in sports?
1. A144 students
2. B160 students
3. C162 students
4. D180 students
0%50%100%

Work
2Complete 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:
3Complete each step, then write the final answer.

Find 85% of 60.
Show your work
Final answer:

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