Grade 6 Mathematics · Unit 2: Understanding the World Around Us Through StatisticsStandard 6.NOS.3

Lesson 2.72.6 · 2.7 · 2.11 · 2.12 Catch-Up

Start hereWords, worked example, and sentence starters

Name Date Period

Learning target I can show I am caught up on Lessons 2.6 · 2.7 · 2.11 · 2.12 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 2.6 · 2.7 · 2.11 · 2.12: 2.6 Divide Multi-Digit Numbers Using an Algorithm, 2.7 Divide Decimals Using an Algorithm, 2.11 Add and Subtract Decimals, 2.12 Multiply Decimals. 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
Divide Multi-Digit NumbersSpanish: Dividir números de varias cifras Separate a multi-digit number into equal groups to find a quotient. 1,344 ÷ 12 = 112
DividendSpanish: Dividendo The total number being divided into equal groups (the number inside the division bracket). In 84.6 ÷ 6, it is 84.6
DivisorSpanish: Divisor The number of equal groups you are dividing into (the number outside the division bracket). In 84.6 ÷ 6, it is 6
QuotientSpanish: Cociente The answer when you divide. 84.6 ÷ 6 = 14.1
RemainderSpanish: Residuo What is left over when a number does not divide evenly. 17 ÷ 5 = 3 R 2 means 3 groups of 5 with 2 left over
Long divisionSpanish: División larga A method that repeats four steps — divide, multiply, subtract, bring down — until there are no digits left to bring down. 1,344 ÷ 12 → divide, multiply, subtract, bring down, repeat

How it worksWorked example

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

A rope 25.2 meters long is cut into 6 equal pieces. How long is each piece?

  1. Write 25.2 ÷ 6. Put the quotient’s point above the point in 25.2.
  2. 6 goes into 25 four times, 1 left over. Bring down the 2 to make 12.
  3. 12 ÷ 6 = 2. Check: 4.2 × 6 = 25.2.

Answer: 4.2 meters for each piece

Now you trySame steps, your turn

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

What is 852 ÷ 6?

Answer:

Say it and write itSentence starters

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

  • The dividend is and the divisor is .
  • I placed the decimal point because .
  • When a remainder appeared I .
  • I checked my quotient by .

Word bank dividenddivisorquotientdecimal pointalgorithmannexbring downplace valueestimatecheckmultiplysubtract

Watch out!A common mistake

A common mistake in Multiply Decimals is counting decimal places from only one factor instead of adding the decimal places from BOTH factors. For example, in 0.4 × 0.06, a student multiplies 4 × 6 = 24, then places the decimal point using just one factor's place count (1 place), writing 0.24 instead of the correct answer: 0.4 has 1 decimal place and 0.06 has 2 decimal places, for a total of 3, so 24 becomes 0.024. Before you submit, count the decimal places in EACH factor separately and add them together

Grade 6 Mathematics · Unit 2: Understanding the World Around Us Through StatisticsStandard 6.NOS.3

Lesson 2.72.6 · 2.7 · 2.11 · 2.12 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 2.6 · 2.7 · 2.11 · 2.12 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 2.6 · 2.7 · 2.11 · 2.12: 2.6 Divide Multi-Digit Numbers Using an Algorithm, 2.7 Divide Decimals Using an Algorithm, 2.11 Add and Subtract Decimals, 2.12 Multiply Decimals. Work one example from each lesson, then prove you're caught up in the mixed practice.

Part 1Practice the skillshow every step
  1. 1Complete each step, then write the final answer.

    What is 945 ÷ 7?

    Show your work

    Hint Start with 9. Then repeat: divide, multiply, subtract, bring down.

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

    What is 672 ÷ 4?

    Show your work

    Hint Start with 6. Bring down one digit at a time.

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

    Find 4.2 ÷ 0.6.

    Show your work

    Hint Move both points 1 place right. Then find 42 ÷ 6.

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

    Find 12.5 ÷ 2.5.

    Show your work

    Hint Move both points 1 place right. Then find 125 ÷ 25.

    Final answer:
  5. 5Complete each step, then write the final answer.

    Find 3.2 + 4.65.

    Show your work

    Hint Write 3.2 as 3.20. Line up the decimal points. Then add.

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

    Find 0.5 × 0.7.

    Show your work

    Hint 5 × 7 = 35. The factors have 2 decimal places in all.

    Final answer:
  7. 7Complete each step, then write the final answer.

    Find 1.3 × 2.1.

    Show your work

    Hint 13 × 21 = 273. Each factor has 1 decimal place.

    Final answer:
Part 2Apply itreal-world problems
  1. 8Complete each step, then write the final answer.

    Find 8.75 − 2.4.

    Show your work

    Hint Write 2.4 as 2.40. Line up the decimal points. Then subtract.

    Final answer:

Explain your thinkingHow did estimating by rounding help you sort the products? How do you decide where to place the decimal in the exact product?

Sentence starter I estimated ___ x ___ by rounding to ___ x ___ = ___, which told me the product is ___ than 20.

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