Grade 6 Mathematics · Pre-UnitStandard MPP.3

Lesson 1.11.1 Small Group · Group 1

Start hereWords, worked example, and sentence starters

Name Date Period

Learning target With my small group, I can describe the ways we are all doers of math, and compare my math story with a classmate's — one step at a time, with support.

Start hereWords for this lesson

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

WordWhat it meansExample
doer of mathSpanish: persona que hace matemáticas Anyone who uses mathematical thinking — which is everyone, every day. Splitting a bill 4 ways at dinner — that is a doer of math.
math storySpanish: historia matemática Your own history with mathematics — what you have done, felt, and learned so far. “In 3rd grade I hated fractions; this year I can explain them.”
strengthSpanish: fortaleza Something you already do well and can share with others. “I am good at mental math with money” — a strength you can teach.
decomposeSpanish: descomponer To break a number into parts that add, subtract, multiply, or divide back to it. 78.5 = 70 + 8.5, and also 157 ÷ 2 — both rebuild the same number.
estimateSpanish: estimar A reasoned answer that is close enough to be useful, without counting every one. 20 cars × about 4 riders ≈ 80 people on the Ferris wheel.

How it worksWorked example

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

A Ferris wheel has 20 cars. About 4 people fit in each car. About how many people can ride at one time?

  1. Count the cars: 20 cars
  2. Estimate the people in one car: about 4 people
  3. Multiply the number of cars by people per car: 20 × 4 = 80
  4. About 80 people can ride at one time.

Now you trySame steps, your turn

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

Write 78.5 in different ways. Each way must equal exactly 78.5.

Answer:

Say it and write itSentence starters

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

  • I used math when I .
  • It was math because I had to .

Word bank doer of mathmath storystrengthdecomposeestimate

Watch outA common mistake

Believing that 'doing math' only counts when it happens on paper in a classroom.

Grade 6 Mathematics · Pre-UnitStandard MPP.3

Lesson 1.11.1 Small Group · Group 1

Group 1Supported practice

Mastery check☐ Exceeds☐ Meets target☐ Needs practice
Name Date Period

Learning target With my small group, I can describe the ways we are all doers of math, and compare my math story with a classmate's — one step at a time, with support.

  1. 1Complete each step, then write the final answer.
    Rows555555555555about ? students
    12 rows, with about 5 students in each row.

    A school bus has 12 rows of seats. About 5 students fit in each row. About how many students can ride the bus?

    1. 1How many equal groups are there?
    2. 2About how many students fit in one row?
    3. 3Multiply the rows by the students in each row: 12 × 5.
    Final answer:
  2. 2Complete each step, then write the final answer.
    4041424344454647484950+ ?− ?46.5
    Add from 40, or subtract from 50.

    Write 46.5 in different ways. Each way must equal exactly 46.5.

    1. 1Start at 40. What do you add to reach 46.5?
    2. 2Start at 50. How far down is 46.5?
    3. 3Start at 46. What do you add to reach 46.5?
    Final answer:
  3. 3Complete each step, then write the final answer.

    About 10 crayons fit in each box. There are 7 boxes. About how many crayons are there?

    Show your work

    Hint The boxes are equal groups. Multiply the number of boxes by the crayons in one box.

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

    Write 63.75 as 70 minus a number. What is the number?

    Show your work

    Hint Find how far 63.75 is from 70. Subtract.

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

    A Ferris wheel has 30 cars. About 6 people fit in each car. About how many people can ride at one time?

    Show your work

    Hint Each car is one equal group. Multiply the cars by the people in one car.

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

    Ana writes 52.5 = 50 + 3.5. Is she right? What number should she add to 50?

    Show your work

    Hint Add Ana's two parts. Do they rebuild 52.5 exactly?

    Final answer:

Explain your thinkingWhy is 30 × 6 an estimate of the riders, and not an exact count? When is a close number good enough?

Sentence starter It is an estimate because ___. · A close number is good enough when ___.

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