Grade 6 Mathematics · Pre-UnitStandard MPP.3

Lesson 1.61.4–1.6 Catch-Up

Start hereWords, worked example, and sentence starters

Name Date Period

Learning target I can show I am caught up on Lessons 1.4–1.6 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 1.4–1.6: 1.4 Math is Explaining and Sharing, 1.5 Math is Finding Patterns, 1.6 Math is Ours. 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.

Word	What it means	Example
argumentSpanish: argumento	A chain of reasons — equations, drawings, or words — used to defend your thinking.	“Two jumbo boxes hold more, because 400 × 2 = 800 > 720.”
conjectureSpanish: conjetura	A mathematical statement you believe is true but have not yet proven.	“A bigger box ALWAYS holds more cereal” — believed, not yet proven.
counterexampleSpanish: contraejemplo	A single example that shows a statement is not always true.	One jumbo box sold half full of air breaks “bigger always holds more”.
volumeSpanish: volumen	The amount of space a solid figure takes up, measured in cubic units.	8 in × 3 in × 10 in = 240 cubic inches of cereal space.
cubic unitSpanish: unidad cúbica	A cube with edges 1 unit long — the unit used to measure volume.	One cube, 1 unit on every edge — the block volume is counted in.
patternSpanish: patrón	Something that repeats or changes in a predictable way.	1, 3, 7, 15, 31 — each tower's steps follow a predictable jump.

How it worksWorked example

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

A large cereal box is 8 inches long, 3 inches wide, and 10 inches tall. What is the total volume of 3 large boxes?

Multiply length × width × height: 8 × 3 × 10 = 240
Multiply by the number of boxes: 240 × 3 = 720
3 large boxes hold 720 cubic inches.
What are 200 quarters and 25 dimes worth together?
Multiply the quarters by $0.25: 200 × $0.25 = $50.00
Multiply the dimes by $0.10: 25 × $0.10 = $2.50
Add the two values: $50.00 + $2.50 = $52.50
Together they are worth $52.50.
One bike rack holds 8 bikes. Each bike has 2 wheels. Another rack has 6 times as many wheels. How many wheels are on the other rack?
Find the wheels on the first rack: 8 × 2 = 16
Draw 6 equal groups of 16.
Multiply: 16 × 6 = 96
The other rack has 96 wheels.

Now you trySame steps, your turn

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

A box is 4 inches long, 3 inches wide, and 5 inches tall. What is its volume?

Answer:

Say it and write itSentence starters

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

Word bank argumentconjecturecounterexamplevolumecubic unitpattern

Watch out!A common mistake

Treating 'stuck' as a stop sign instead of a signal

Grade 6 Mathematics · Pre-UnitStandard MPP.3

Lesson 1.61.4–1.6 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 1.4–1.6 by using each lesson's big idea in mixed practice.

1Complete each step, then write the final answer.

A box is 2 inches long, 5 inches wide, and 7 inches tall. What is its volume?
Show your work
Hint Multiply length × width × height.
Final answer:
2Complete each step, then write the final answer.

A box is 3 inches long, 3 inches wide, and 10 inches tall. What is the total volume of 2 of these boxes?
Show your work
Hint Find one box's volume. Then multiply by 2.
Final answer:
3Complete each step, then write the final answer.

What are 20 dimes worth?
Show your work
Hint 10 dimes make $1.00.
Final answer:
4Complete each step, then write the final answer.

What are 12 quarters worth?
Show your work
Hint 4 quarters make $1.00.
Final answer:
5Complete each step, then write the final answer.

A rack has 3 bikes with 2 wheels each. Another rack has 5 times as many wheels. How many wheels are on the other rack?
Show your work
Hint First find 3 × 2. Then make 5 equal groups of that number.
Final answer:
6Complete each step, then write the final answer.

A bag has 7 marbles. Another bag has 4 times as many marbles. How many marbles are in the other bag?
Show your work
Hint “4 times as many” means 4 equal groups of 7.
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