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.

Start hereWords for this lesson

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

WordWhat it meansExample
Understand RatiosSpanish: Comprender razones Use a ratio to compare two quantities by division. 3 red tiles to 5 blue tiles can be written 3:5 or 3/5.
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

How it worksWorked exampleturning a ratio into points on a graph

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

A sticker sheet holds 7 stickers per page. Let x = pages and y = stickers.

  1. Make a table. 1 page → 7 2 pages → 14 3 pages → 21
  2. Write each row as an ordered pair. (1, 7) (2, 14) (3, 21)
  3. Plot the points and add (0, 0) — zero pages hold zero stickers.
  4. Draw one straight line through the origin and all the points.

Answer: The points (0, 0), (1, 7), (2, 14), (3, 21) lie on one straight line.

Now you trySame steps, your turn

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

A theater has 9 seats in every row. Let x = rows and y = seats.

  1. Make a table. 1 row → 2 rows → 3 rows →
  2. Write each as an ordered pair. ( 1 , ) ( 2 , ) ( 3 , )
  3. What does the origin ( 0 , 0 ) mean here?
  4. Find the point for 5 rows. ( 5 , )
Answer:the ordered pairs and the point for 5 rows

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 outA common mistake

A common mistake in Graph Ratio Tables is writing the ordered pair in the wrong order — putting the second table value first instead of matching (x, y) to the table's column order. For example, if a recipe table shows 2 cups of sugar for every 4 cups of flour, a student might plot (4, 2) instead of (2, 4), landing the point in a completely different spot on the grid. Before you plot, check: which quantity goes on the x-axis, and does your ordered pair start with that number?

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.

  1. 1Circle the letter of the best answer. Show how you know.

    (Lesson 3.1) A recipe uses 4 cups of milk and 1 cup of cream. What is the ratio of milk to cream?

    1. A1:4
    2. B4:1
    3. C4:5
    4. D5:1

    Hint Re-read the question: it asks for milk to cream, in that exact order.

    Show your work
  2. 2Circle the letter of the best answer. Show how you know.

    (Lesson 3.1) Chef Reyes uses 6 strawberries and 2 bananas in a smoothie. What is the part-to-whole ratio of bananas to total fruit?

    1. A2:8
    2. B2:6
    3. C6:2
    4. D8:2

    Hint Notice the word 'total' — this is a part-to-WHOLE ratio, not banana-to-strawberry.

    Show your work
  3. 3Circle the letter of the best answer. Show how you know.

    (Lesson 3.3) A recipe uses 3 eggs for every 5 cups of flour. How many eggs are needed for 15 cups of flour?

    1. A6
    2. B9
    3. C10
    4. D12

    Hint Notice the flour jumped from 5 cups to 15 cups — the eggs must grow by the same factor.

    Show your work
  4. 4Circle the letter of the best answer. Show how you know.

    (Lesson 3.3) Which row does NOT belong in a ratio table for 4:5?

    1. A6:10
    2. B8:10
    3. C12:15
    4. D16:20

    Hint Every row in a 4:5 table must simplify back to exactly 4:5.

    Show your work
  5. 5Circle the letter of the best answer. Show how you know.

    (Lesson 3.4) A ratio table shows (2, 6), (4, 12), and (6, 18). Which ordered pair comes next if the pattern continues?

    1. A(7, 20)
    2. B(8, 24)
    3. C(8, 22)
    4. D(10, 24)

    Hint Watch each coordinate separately: x goes 2, 4, 6, … and y goes 6, 12, 18, …

    Show your work

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 ___.

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