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

Lesson 4.13.2 · 4.1 · 4.2 Catch-Up

Start hereWords, worked example, and sentence starters

Name Date Period

Learning target I can show I am caught up on Lessons 3.2 · 4.1 · 4.2 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 3.2 · 4.1 · 4.2: 3.2 Understand Rates and Unit Rates, 4.1 Understand Percent, 4.2 Relate Fractions, Decimals, and Percentages. 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
Rates and Unit RatesSpanish: Tasas y tasas unitarias A rate compares different units; a unit rate compares a quantity to 1 unit. 180 miles in 3 hours = 60 miles per 1 hour.
RateSpanish: Tasa A ratio comparing two amounts with different units, like miles per hour. $12 for 4 games is a rate
Unit RateSpanish: Tasa unitaria A rate for just 1 of something, like cost for 1 item. $3 per 1 game
PerSpanish: Por For each one. Example: 5 dollars per book. 60 miles per hour means 60 miles for every 1 hour
RatioSpanish: Razón A way to compare two amounts, like 3 to 2. 5 to 3 or 5:3
Unit priceSpanish: Precio unitario A unit rate that gives the cost of exactly 1 item, like $0.60 per game. $3 for 5 games → $0.60 per 1 game

How it worksWorked example

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

3 out of 4 students bring lunch. What percent?

  1. What times 4 makes 100? 25.
  2. 3 × 25 = 75 and 4 × 25 = 100.
  3. 75 out of 100 = 75%.

Answer: 75% bring lunch

Now you trySame steps, your turn

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

A fair charges $10 for 5 rides. What is the cost for 1 ride, in dollars?

Answer:

Say it and write itSentence starters

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

  • % means out of every hundred.
  • To compare to a hundred, I multiplied both terms by .
  • The part is and the whole is .
  • A percent is a ratio because .

Word bank percentper hundredratiopartwholeequivalentmultiplytermsgridcompare

Watch out!A common mistake

A common mistake in Relate Fractions, Decimals, and Percents is treating the numerator and denominator as the percent's digits

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

Lesson 4.13.2 · 4.1 · 4.2 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 3.2 · 4.1 · 4.2 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 3.2 · 4.1 · 4.2: 3.2 Understand Rates and Unit Rates, 4.1 Understand Percent, 4.2 Relate Fractions, Decimals, and Percentages. 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.
    GamesCost________________

    A booth charges $12 for 4 games. What is the cost for 1 game?

    Show your work

    Hint Divide the cost by the number of games.

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

    A pack of 4 stickers costs $1. What is the cost for 1 sticker?

    Show your work

    Hint Divide the cost by the number of stickers.

    Final answer:
  3. 3Complete 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:
  4. 4Complete 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:
  5. 5Complete 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:
  6. 6Complete 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:

Explain your thinkingWhat number did you multiply by to turn each denominator into 100, and how did that fraction out of 100 give you the percent?

Sentence starter I multiplied the top and bottom of ___ by ___ to get ___/100, so the percent is ___%.

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