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.

Start hereWords for this lesson

Read each word before you begin. Say it out loud.

WordWhat it meansExample
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?

  1. Name the pieces: the base is 250 hats, the percent is 36%, the part is unknown.
  2. Write the percent in hundredths: 36% becomes 0.36
  3. Write the equation: part = 0.36 × 250
  4. 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?

  1. Base: goats Percent: % Part: unknown
  2. Percent written in hundredths:
  3. Equation: part = ×
  4. 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 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.

  1. 1Complete each step, then write the final answer.
    Percent (%)1002040Prize A (tickets)50??Prize B (tickets)90??÷ ?÷ ?× ?× ?
    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:
  2. 2Complete each step, then write the final answer.
    Percent (%)10020515Store A ($)80???Store B ($)64???÷ ?÷ ?÷ ?÷ ?× ?× ?
    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:
  3. 3Complete each step, then write the final answer.
    Percent (%)Number________________________

    Find 35% of 260.

    Show your work
    Final answer:
  4. 4Complete each step, then write the final answer.
    Percent (%)Of 150Of 100________________________________
    Read 20% of 150 and 25% of 100.

    How much more is 20% of 150 than 25% of 100?

    Show your work
    Final answer:
  5. 5Complete each step, then write the final answer.
    Percent (%)Students________________________

    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:
  6. 6Complete each step, then write the final answer.
    Percent (%)Number________________________________
    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.

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