Lesson 1.21.2 Small Group · Group 1
Start hereWords, worked example, and sentence starters
Learning target With my small group, I can make sense of a problem, plan a strategy, and use fractions of a whole number to compare quantities — 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 |
|---|---|---|
| quantitySpanish: cantidad | An amount in a problem — a number with a meaning attached, like 540 meters. | 540 meters — the number 540 AND what it measures. |
| relationshipSpanish: relación | How two quantities compare or connect to each other. | 1 hour → 48 km, 2 hours → 96 km: as one grows, so does the other. |
| strategySpanish: estrategia | A plan for how to solve a problem before you start computing. | “I will draw a tape diagram first, then divide” — chosen before computing. |
| reasonableSpanish: razonable | A solution that makes sense in the context of the problem. | 5/6 of 540 must be under 540, so 450 is reasonable and 650 is not. |
| persevereSpanish: perseverar | To keep working on a problem, checking your progress and adjusting your plan when you get stuck. | Stuck on the tram problem → try a tape diagram instead → keep going. |
How it worksWorked example
These numbers are not on your problems. The steps are. Follow them with your own numbers.
A bowl is full of peas. There are too many to count one by one. One small group has about 10 peas. About 12 groups like it fill the bowl. About how many peas are in the bowl?
- Find a small group you can count: about 10 peas
- Count how many groups fill the bowl: about 12 groups
- Multiply the groups by the peas in each: 12 × 10 = 120
- About 120 peas are in the bowl.
Now you trySame steps, your turn
The steps are the same as the worked example. The numbers are yours. Do the work.
Decompose 105.76 in five ways. Each way must equal exactly 105.76.
Say it and write itSentence starters
Finish each sentence out loud with a partner. Then use them in your writing.
- I know that .
- I don't know .
Word bank quantityrelationshipstrategyreasonablepersevere
Watch outA common mistake
Expecting a fraction of a number to be bigger than the number — 5/6 × 540 must be LESS than 540 because 5/6 is less than 1; only a fraction greater than 1, like 6/5, makes the product bigger.
Lesson 1.21.2 Small Group · Group 1
Group 1Supported practice
Learning target With my small group, I can make sense of a problem, plan a strategy, and use fractions of a whole number to compare quantities — one step at a time, with support.
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1Complete each step, then write the final answer.
6 handfuls, with about 15 marbles in each. A jar is full of marbles. There are too many to count one by one. One handful has about 15 marbles. About 6 handfuls fill the jar. About how many marbles are in the jar?
- 1How many marbles are in one handful?
- 2How many handfuls fill the jar?
- 3Multiply the handfuls by the marbles in each: 6 × 15.
Final answer: -
2Complete each step, then write the final answer.
Add from 50, or subtract from 60. Decompose 54.38 in three ways. Each way must equal exactly 54.38.
- 1Start at 50. What do you add to reach 54.38?
- 2Start at 60. How far down is 54.38?
- 3Half of 54.38 is 27.19. Write 54.38 as a multiplication.
Final answer: -
3Complete each step, then write the final answer.
A box is full of paper clips. One small pile has about 25 clips. About 4 piles fill the box. About how many clips are in the box?
Show your workHint Count one pile. Then multiply by the number of piles.
Final answer: -
4Complete each step, then write the final answer.
Write 208.45 as 210 minus a number. What is the number?
Show your workHint Find how far 208.45 is from 210.
Final answer: -
5Complete each step, then write the final answer.
9 squares, with about 30 flowers in each. A field has too many flowers to count. One square of the field has about 30 flowers. About 9 squares cover the field. About how many flowers are in the field?
Show your workHint One square is the small group you can count. How many squares are there?
Final answer: -
6Complete each step, then write the final answer.
Rosa counts one group of about 10 beans. About 14 groups fill the jar. She says there are about 24 beans. What is a better estimate?
Show your workHint Rosa added. Is 14 groups of 10 the same as 14 + 10?
Final answer:
Explain your thinkingWhy do we count one small group first instead of every bean? How does that plan help?
Sentence starter First I count one small group because ___. · Then I multiply because ___.