Grade 6 Mathematics · Unit 3: Ratios & RatesStandard 6.AT.3a

Lesson 3.43.1 · 3.3 · 3.4 Catch-Up

Start hereWords, worked example, and sentence starters

Name Date Period

Learning target I can show I am caught up on Lessons 3.1 · 3.3 · 3.4 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 3.1 · 3.3 · 3.4: 3.1 Understand Ratios, 3.3 Determine Equivalent Ratios Using Tables, 3.4 Determine Equivalent Ratios Using Graphs. 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
RatioSpanish: Razón A way to compare two amounts, like 3 to 2. 3 cups flour to 2 cups sugar → 3:2
ComparisonSpanish: Comparación Looking at two or more amounts to see how they are related. 5 eggs vs. 3 eggs — which recipe uses more?
Part-to-partSpanish: Parte a parte A ratio comparing one part of a group to another part. 3 teal counters to 5 amber counters → 3:5
Part-to-wholeSpanish: Parte a todo A ratio comparing one part to the whole group. 3 teal counters out of 8 counters in all → 3:8
Colon notationSpanish: Notación con dos puntos Writing a ratio with two dots between the numbers, like 3:2. 3 to 2 can be written as 3:2
Tape diagramSpanish: Diagrama de cintas A bar cut into equal parts that shows how two amounts in a ratio compare, and how they make up the whole. 3 equal parts of apple juice beside 2 equal parts of sparkling water — 5 parts of fruit drink in all.

How it worksWorked example

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

Each tray holds 8 muffins (x = trays, y = muffins). Write and plot three points.

  1. Table: 1 tray = 8, 2 trays = 16, 3 trays = 24.
  2. Pairs: (1, 8), (2, 16), (3, 24).
  3. Plot each pair from (0, 0): across x, then up y.

Answer: The points lie on one straight line through (0, 0)

Now you trySame steps, your turn

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

A garden has 5 roses and 3 tulips. The ratio of tulips to roses is ? : 5. What is the missing number?

Answer:

Say it and write itSentence starters

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

  • The point ( , ) means .
  • The origin means .
  • I found y by multiplying x by .
  • The points form a straight line because .

Word bank coordinate planeordered pairoriginx-axisy-axisplotpointstraight linetablemultiplyacrossup

Watch out!A common mistake

A common mistake in Graph Ratio Tables is writing the ordered pair in the wrong order

Grade 6 Mathematics · Unit 3: Ratios & RatesStandard 6.AT.3a

Lesson 3.43.1 · 3.3 · 3.4 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 3.1 · 3.3 · 3.4 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 3.1 · 3.3 · 3.4: 3.1 Understand Ratios, 3.3 Determine Equivalent Ratios Using Tables, 3.4 Determine Equivalent Ratios Using Graphs. 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.
    ErasersPencils________

    A pencil box has 9 pencils and 2 erasers. The ratio of erasers to pencils is ? : 9. What is the missing number?

    Show your work

    Hint Erasers come first in this ratio.

    Final answer:
  2. 2Complete each step, then write the final answer.
    Red flowersYellow flowersTotal flowers________

    A vase has 5 red flowers and 4 yellow flowers. The ratio of red flowers to all the flowers is 5 to ?. What is the missing number?

    Show your work

    Hint All the flowers means red and yellow together.

    Final answer:
  3. 3Complete each step, then write the final answer.
    Oats (cups)Milk (cups)________________

    A recipe uses 1 cup of oats for every 3 cups of milk. How much milk goes with 5 cups of oats?

    Show your work

    Hint The scale factor is 5. Multiply the milk by 5.

    Final answer:
  4. 4Complete each step, then write the final answer.
    Red beadsWhite beads________________

    A bracelet has 2 red beads for every 5 white beads. How many white beads go with 8 red beads?

    Show your work

    Hint What number times 2 makes 8? Multiply the white beads by that number.

    Final answer:
  5. 5Complete each step, then write the final answer.
    01234512345678910BikesWheels(1, 2)(2, 4)
    Each bike adds 2 wheels. Where is the point for 4 bikes?

    Each bike has 2 wheels. Bikes are x and wheels are y. What is the y-value of the point for 4 bikes?

    Show your work

    Hint Multiply the bikes by 2.

    Final answer:
  6. 6Complete each step, then write the final answer.
    PacksPencils________________

    Each pack has 4 pencils. Packs are x and pencils are y. The point for 3 packs is (3, ?). What is the missing number?

    Show your work

    Hint The missing number is y. Multiply the packs by 4.

    Final answer:

Explain your thinkingWhat pattern do the plotted points make? How does the graph show the ratio of 1 sundae to 2 ounces of sauce?

Sentence starter Every time the sundaes go up by ___, the ounces go up by ___, so the points line up in a ___ starting from ___.

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