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

Lesson 4.34.1–4.3 Catch-Up

Start hereWords, worked example, and sentence starters

Name Date Period

Learning target I can show I am caught up on Lessons 4.1–4.3 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 4.1–4.3: 4.1 Understand Percent, 4.2 Relate Fractions, Decimals, and Percentages, 4.3 Estimate the Percent of a Number. 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 ratio that compares a number to 100. The word means “per hundred,” and the symbol is %. 40% = 40 out of 100 = 40/100
Per hundredSpanish: Por cada cien The meaning hidden inside the word percent: for every group of 100. It is why every percent can be written as a fraction over 100. 23% = 23/100
Decimal gridSpanish: Cuadrícula decimal A 10-by-10 grid of 100 squares. Shading squares shows a percent directly, one square per percent. 40 shaded squares out of 100 = 40%
Part-to-wholeSpanish: Parte a todo A comparison of one part against the whole amount. In a percent, the whole is always 100%. The whole = 100%; the part = the percent
Greater than 100%Spanish: Mayor que 100 % More than one whole. A percent above 100 means the amount is larger than the thing it is being compared to. 150% of the gray kitten = 1.5 times its weight
DecimalSpanish: Decimal A number with a dot, like 0.5, that shows a part less than one. 0.75 means seventy-five hundredths

How it worksWorked example

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

A game download is 80 MB. 41 MB are done. About what percent is done?

  1. Whole: 80 MB is 100%.
  2. 50% of 80 is 40 MB.
  3. 41 MB is just over 40 MB.

Answer: about 50%

Now you trySame steps, your turn

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

3 out of every 10 students walk to school. What percent of the students walk?

Answer:

Say it and write itSentence starters

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

  • The whole in this problem is , so it stands for one hundred percent.
  • The benchmark closest to is .
  • My estimate is about % because .
  • I know my estimate is reasonable because .

Word bank estimateaboutbenchmarkwholepartdouble number linehalfone quarterthree quartersclose toreasonablecompare

Watch out!A common mistake

Keeping the same whole for every question

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

Lesson 4.34.1–4.3 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 4.1–4.3 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 4.1–4.3: 4.1 Understand Percent, 4.2 Relate Fractions, Decimals, and Percentages, 4.3 Estimate the Percent of a Number. 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.
    Like soccerKids________________

    5 out of every 10 kids like soccer best. What percent of the kids is that?

    Show your work

    Hint Multiply both terms by 10. Read the number out of 100.

    Final answer:
  2. 2Complete each step, then write the final answer.
    Kitten weightsPercent (%)________________

    A puppy weighs 3 times as much as a kitten. What percent of the kitten's weight is the puppy's weight?

    Show your work

    Hint The kitten is the whole, or 100%. The puppy is 3 wholes.

    Final answer:
  3. 3Complete each step, then write the final answer.
    PartWhole________________

    Write 1/2 as a percent.

    Show your work

    Hint 2 × 50 = 100. Multiply the numerator by 50 too.

    Final answer:
  4. 4Complete each step, then write the final answer.
    PartWhole________________

    Write 4/5 as a decimal.

    Show your work

    Hint 5 × 20 = 100. Make a fraction out of 100 first.

    Final answer:
  5. 5Complete each step, then write the final answer.
    Percent (%)Number________________

    Estimate 10.2% of 798.

    Show your work

    Hint 10.2% is about 10%. 798 is about 800.

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

    Estimate 24% of 119.

    Show your work

    Hint 24% is about 25%, which is one quarter. 119 is about 120.

    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