Grade 6 Mathematics · Unit 10: Math Is...Standard MPP.3

Lesson 10.610.6 Small Group · Group 1

Start hereWords, worked example, and sentence starters

Name Date Period

Learning target With my small group, I can look back at my answers from Lesson 1-1, describe how my math biography has changed this year, and recognize ways we are all doers of math — one step at a time, with support.

Start hereWords for this lesson

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

Word	What it means	Example
math biographySpanish: biografía matemática	The story of your relationship with math — and how it has changed over time.	September: “I am not a math person.” June: “I can explain why it works.”
reflectSpanish: reflexionar	To look back at what you did, felt, and learned, and think about what it means.	Looking back at the tram problem: what worked, what you would change.
growthSpanish: crecimiento	The change between what you could do before and what you can do now.	In Unit 1 you estimated 80 riders; now you find 480 riders per hour.
confidenceSpanish: confianza	Trusting yourself to try a problem, even when the first attempt might fail.	Starting a hard problem before you are sure it will work.
communitySpanish: comunidad	The people and places around you — where math shows up outside the classroom.	The people and places where math shows up — home, work, the neighborhood.

How it worksWorked example

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

In September, we estimated a Ferris wheel: 20 cars with about 4 riders each. The wheel makes 6 turns an hour. About how many riders can it carry in one hour?

Find the riders for one turn: 20 × 4 = 80
Scale 1 turn to 6 turns: × 6: 80 × 6 = 480
Check with the 2-turn column: 160 × 3 = 480
The wheel can carry about 480 riders in one hour.

Now you trySame steps, your turn

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

In September, we wrote 78.5 = 70 + 8.5 and 78.5 = 80 − 1.5. Use this year's tools to write 78.5 in new ways.

Answer:

Say it and write itSentence starters

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

In September I thought math was .
Now I think because .
This year at home I used math to .
That was new for me because .

Word bank math biographyreflectgrowthconfidencecommunity

Watch outA common mistake

Treating your math story as finished — writing the same answers you wrote in Lesson 1-1 instead of looking for what actually changed. The story grows and evolves; a retrospective that copies September has missed the point.

Grade 6 Mathematics · Unit 10: Math Is...Standard MPP.3

Lesson 10.610.6 Small Group · Group 1

Group 1Supported practice

Mastery check☐ Exceeds☐ Meets target☐ Needs practice

Name Date Period

1Complete each step, then write the final answer.
Find the riders for one turn first.
A small Ferris wheel has 12 cars with about 5 riders each. It makes 7 turns an hour. About how many riders can it carry in one hour?
1. 1About how many riders fit in one turn? Write it in the table.
2. 2What do you multiply 1 turn by to get 7 turns?
3. 3Do the same to the riders. About how many riders in one hour?
4. 4What tool helped you go from one turn to one hour?
Final answer:
2Complete each step, then write the final answer.
A full turn is 100%: about 60 riders.
On a cold night, the same wheel is only 50% full. A full turn has about 60 riders, and it makes 7 turns an hour. About how many riders ride in one hour?
1. 1What do you divide 100% by to get 50%?
2. 2Do the same to 60. How many riders per turn at 50%?
3. 3Multiply by 7 turns. About how many riders in one hour?
4. 4Check: is 210 half of a full hour of 420 riders?
Final answer:
3Complete each step, then write the final answer.

100% is the whole: 47.
What is 50% of 47?
Show your work
Hint 50% means half. Split 47 into 2 equal parts.
Final answer:
4Complete each step, then write the final answer.

In September, a class wrote 36.5 = 30 + 6.5. Now write 36.5 as a number divided by 2. What number is divided by 2?
Show your work
Hint Dividing by 2 makes half. Undo it: what number is 36.5 half of?
Final answer:
5Complete each step, then write the final answer.

One turn, then one hour, then 2 hours.
A Ferris wheel has 15 cars. Each car holds about 6 riders. It makes 4 turns an hour. About how many riders can it carry in 2 hours?
Show your work
Hint Find the riders for one turn, then one hour, then 2 hours.
Final answer:
6Complete each step, then write the final answer.

100% is the whole: 89.
Tia says 50% of 89 is 89 ÷ 50 = 1.78. Is she right? What is 50% of 89?
Show your work
Hint 50% means 50 out of 100. That is half, not “divide by 50.”
Final answer:

Explain your thinkingIn September you found “about 80 riders.” What tool from this year lets you go further? Tell how it helps.

Sentence starter In September I could only ___. · Now I can ___ because this year I learned ___.

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