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.

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 exampledividing a decimal by a whole number

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

A ribbon 82.2 meters long is cut into 4 equal pieces. How long is each piece?

  1. Write 82.2 inside the bracket with 4 outside. The divisor is already a whole number.
  2. Put the quotient's decimal point straight above the point in 82.2, then start dividing.
  3. Divide, multiply, subtract, bring down — one place-value column at a time.
  4. An amount is still left over, so annex a zero to 82.2 and keep dividing.

Answer: Each piece is 20.55 meters long.

Now you trySame steps, your turn

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

A load weighing 57.6 kilograms is split evenly into 3 boxes. How much does each box hold?

  1. Write inside the bracket and outside. Is the divisor whole?
  2. Place the quotient's decimal point directly above the point in the dividend.
  3. Divide, multiply, subtract, bring down until no digits are left.
  4. Each box holds kilograms. Check by multiplying your quotient.
Answer:kilograms in each box

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 outA 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 — that total is how many decimal places belong in your final answer.

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.

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

    (Lesson 2.6) What is 936 ÷ 12?

    1. A68
    2. B76
    3. C78
    4. D87

    Hint Estimate first: 12 × 70 = 840 and 12 × 80 = 960, so the quotient must land between 70 and 80.

    12936
    1. 1DivideHow many fit?
    2. 2MultiplyMultiply back.
    3. 3SubtractWhat is left?
    4. 4Bring downNext digit.
  2. 2Circle the letter of the best answer. Show how you know.

    (Lesson 2.6) What is 2,485 ÷ 5?

    1. A487
    2. B496
    3. C497
    4. D507

    Hint Size it up: 5 × 500 = 2,500, just a bit more than 2,485 — so the quotient is a little under 500.

    52485
    1. 1DivideHow many fit?
    2. 2MultiplyMultiply back.
    3. 3SubtractWhat is left?
    4. 4Bring downNext digit.
  3. 3Circle the letter of the best answer. Show how you know.

    (Lesson 2.7) What is 14.4 ÷ 1.2?

    1. A0.12
    2. B1.2
    3. C12
    4. D120

    Hint Dividing by a decimal is awkward — notice the divisor 1.2 has one decimal place. There's a move that makes it whole.

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

    (Lesson 2.7) What is 3.78 ÷ 0.6?

    1. A0.063
    2. B0.63
    3. C6.3
    4. D63

    Hint The divisor 0.6 has one decimal place — shifting both numbers one place makes the divisor a whole number.

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

    (Lesson 2.11) What is 14.6 + 3.85?

    1. A17.45
    2. B18.35
    3. C18.45
    4. D18.55

    Hint Notice the mismatch: 14.6 has one decimal place but 3.85 has two. Lining up the POINTS is the whole trick here.

    Line up the place values
    1. 1Line upPoints under points.
    2. 2Fill gapsWrite in the zeros.
    3. 3OperateRight to left.
    4. 4Bring the point downStraight down.

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.

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