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

Lesson 4.54.4–4.5 Catch-Up

Start hereWords, worked example, and sentence starters

Name Date Period

Learning target I can show I am caught up on Lessons 4.4–4.5 by using each lesson's big idea in mixed practice.

Why This Matters Missed a lesson — or just want a refresher? This catch-up station reviews Lessons 4.4–4.5: 4.4 Find and Compare with Percentages, 4.5 Determine the Whole Given the Part and Percent. Work one example from each lesson, then prove you're caught up in the mixed practice.

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. 30% means 30 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. $42 is the sale price
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
WholeSpanish: Total The full amount the percent is measured against. The whole is always 100%. the original price

How it worksWorked example

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

24 stickers are 40% of a pack. How many stickers are in the pack?

  1. 40% ÷ 4 = 10%, so 24 ÷ 4 = 6.
  2. 10% × 10 = 100%, so 6 × 10 = 60.
  3. Check: 0.40 × 60 = 24.

Answer: 60 stickers

Now you trySame steps, your turn

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

Find 25% of 40.

Answer:

Say it and write itSentence starters

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

  • The part is and it matches %.
  • Ten percent of the whole is .
  • The whole is because .
  • I checked my answer by finding % of it.

Word bank partwholepercentdouble number lineequivalent ratioscaledividemultiplyten percentone hundred percenttablecheck

Watch out!A common mistake

A common mistake when finding the whole is multiplying by the percent instead of dividing. For "$42 is 60% of the original price," computing 0.6 × 42 = $25.20 makes the original price SMALLER than the sale price

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

Lesson 4.54.4–4.5 Catch-Up

Catch-UpSkill bridge

Mastery check☐ Exceeds☐ Meets target☐ Needs practice
Name Date Period

Learning target I can show I am caught up on Lessons 4.4–4.5 by using each lesson's big idea in mixed practice.

Why This Matters Missed a lesson — or just want a refresher? This catch-up station reviews Lessons 4.4–4.5: 4.4 Find and Compare with Percentages, 4.5 Determine the Whole Given the Part and Percent. Work one example from each lesson, then prove you're caught up in the mixed practice.

  1. 1Complete each step, then write the final answer.
    Percent (%)Number________________

    Find 50% of 26.

    Show your work

    Hint Put 100% and 26 in the first column. What do you divide 100 by to get 50?

    Final answer:
  2. 2Complete each step, then write the final answer.
    Percent (%)Price ($)________________

    A book costs $20. It is 10% off. How many dollars do you save?

    Show your work

    Hint Put 100% and 20 in the first column. What do you divide 100 by to get 10?

    Final answer:
  3. 3Complete each step, then write the final answer.
    Percent (%)Dollars________________

    $5 is 50% of what amount?

    Show your work

    Hint Put 50% and 5 in the first column. What scale factor takes 50% to 100%?

    Final answer:
  4. 4Complete each step, then write the final answer.
    Percent (%)Number________________

    6 is 25% of what number?

    Show your work

    Hint Put 25% and 6 in the first column. What scale factor takes 25% to 100%?

    Final answer:

Explain your thinkingHow can you tell, before doing any arithmetic, whether the answer should be bigger or smaller than the number you were given?

Sentence starter If the percent is less than 100%, the given number is a ___, so the whole must be ___ than it.

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