## Envision Math Common Core 2nd Grade Answers Key Topic 11 Subtract Within 1,000 Using Models and Strategies

enVision STEM Project: Making Models

Find Out Use a paintbrush as a model of a bee’s leg. Dip the brush in a bowl of sugar. Then dip the brush in a bowl of pepper. Take turns. What happens to the sugar? What happens to the pepper?

Journal: Make a Book Show what you learn in a book. In your book, also:

- Tell how bees help move pollen between plants.
- Show how to use a model to help subtract three-digit numbers.

**Review What You Know**

**Vocabulary**

Question 1.

Circle each number that is less than 607.

598

608

706

Answer:

Explanation:

I circled 598 as it is lessthan 607.

Question 2.

Circle each number that is greater than 299.

352

300

298

Answer:

Explanation:

I circles 352,300 as they are greater than 299.

Question 3.

Circle the group of numbers that decrease by 100 from left to right.

650, 550, 450, 350

320, 420, 520, 620

570, 560, 550, 540

Answer:

Explanation:

I circled the first group of numbers 650, 550, 450, 350 as the numbers in this group are in drecreasing order from left to right by 100.

**Subtraction Facts**

Question 4.

Write each difference.

14 – 7 = ___

11 – 4 = ____

16 – 9 = ___

Answer:

14 – 7 = 7

11 – 4 = 7

16 – 9 = 7

Explanation:

The differences of all the three questions above is 7, by thinking of the addition facts 7+7=14, 7+4=11, 7+9=16 i wrote the differences.

**Partial Differences**

Question 5.

Use partial differences to find 54 – 29.

Answer:

Explanation:

First i parted the number 29 as 20 and 9, then i parted the number 9 as 4 and 5.So, i subtracted easily.

**Math Story**

Question 6.

Ben has 64 comic books. He gives 36 comic books to friends. How many comic books does Ben have left?

____ comic books

Answer:

Explanation:

First i parted the number 36 as 30 and 6, then i parted the number 6 as 4 and 2.So, i subtracted easily.

**Pick a Project**

**PROJECT 11A**

How tall is the world’s tallest redwood free?

Project: Create a Redwood Trees Booklet

**PROJECT 11B**

Where does a lot of snow fall?

Project: Build a Snow Sculpture

**PROJECT 11C**

How high are Florida’s mountains?

Project: Make a Poster About Florida Mountains

**Math Modeling**

**The Chemistry Set**

**3-ACT MATH PREVIEW**

Before watching the video, talk to a classmate: When was the last time you mixed something together? What happened to the items you mixed? How did they change?

### Lesson 11.1 Subtract 10 and 100

**Solve & Share**

Jill’s Pumpkin Patch sells straw men.

A large straw man costs $134.

A medium straw man costs $10 less than a large straw man. A small straw man costs $100 less than a large straw man. What is the cost of a medium straw man? A small straw man? Use dollar bills, place-value blocks, or mental math to solve.

Be ready to explain how you solved the problem.

Answer:

Explanation:

A large straw man costs $134, A medium straw man costs $10 less than a large straw man. A small straw man costs $100 less than a large straw man

By using place value blocks i found the value of medium straw man and a small straw man

Cost of medium straw man is $124, cost of small straw man is $34.

**Visual Learning Bridge**

**Convince Me!**

Use mental math to find 457 – 10 and 457 – 100. Explain your reasoning.

Answer:

447 and 357

Explanation:

The number 457 has 4 hundreds 5 tens and 7 ones, if we remove 1 tens from it the answer is 4 hundreds 4 tens and 5 ones that is 447.

The number 457 has 4 hundreds 5 tens and 7 ones, if we remove 1 hundreds from it the answer is 3 hundreds 5 tens and 5 ones that is 357.

**Guided Practice**

Subtract. Use place-value blocks or mental math. Then write an equation to show the subtraction.

Question 1.

Answer:

Question 2.

___ – ___ = ___

Answer:

525 – 10 = 515

Explanation:

In the above questions there are 5 hundreds place value blocks, 2 ten blocks, 5 one blocks and from this 1 ten block is to be subracted.So, if we subtract one ten from it, their will be 4 hundreds, 1 tens and 5 ones that is 515.

Question 3.

___ – ___ = ___

Answer:

738 – 100 = 638

Explanation:

In the above questions there are 7 hundreds place value blocks, 3 tens blocks, 8 ones blocks and from this 1 hundred block is to be subracted.So, if we subtract one ten from it, their will be 6 hundreds, 3 tens and 8 ones that is 638.

Question 4.

___ – ___= ___

Answer:

100 – 100 = 0

Explanation:

In the above questions there is 1 hundred block. If we subtract 1 hundred, their will be 0 blocks.So, 100 minus 100 is 0.

**Independent Practice**

Subtract. Use place-value blocks or mental math.

Question 5.

250 – 10 = ___

Answer:

250- 10 = 240

Explanation:

The difference between 250 and 10 is 240.

Question 6.

604 – 10 = ___

Answer:

604 – 10 = 594

Explanation:

The difference between 604 and 10 is 594.

Question 7.

$102 – $100 = ___

Answer:

102 – 100 = 2

Explanation:

The difference between 102 and 100 is 2.

Question 8.

719 – 10 = ___

Answer:

719 – 10 = 709

Explanation:

The difference between 719 and 10 is 709.

Question 9.

$400 – $100 = ___

Answer:

400 – 100 = 300

Explanation:

The difference between 400 and 100 is 300.

Question 10.

308 – 10 = ___

Answer:

Question 11.

520 – 100 = ___

Answer:

520 – 100 = 420

Explanation:

The difference between 520 and 100 is 420.

Question 12.

975 – 10 = ___

Answer:

975 – 10 = 965

Explanation:

The difference between 975 and 10 is 965.

Question 13.

143 – 100 = ___

Answer:

143 – 100 = 43

Explanation:

The difference between 143 and 100 is 43.

Question 14.

$825 – $10 = ___

Answer:

$825 – $10 = $815

Explanation:

The difference between 825 and 10 is 815.

Question 15.

409 – 10 = ___

Answer:

409 – 10 = 399

Explanation:

The difference between 409 and 10 is 399.

Question 16.

$200 – $100 = ___

Answer:

$200 – $100 =$100

Explanation:

The difference between 200 and 10 is 100.

**Algebra** Find the missing numbers. Use mental math to solve.

Question 17.

362 – = 352

Answer:

362 – 10 = 352

Explanation:

6 tens minus 1 tens is 5tens.So, 362 – 10 = 352.

Question 18.

801 – = 701

Answer:

801 – 100 = 701

Explanation:

8 hundreds minus 1 hundred is 7 hundreds.So, 801 – 100 = 701.

Question 19.

449 = 549 –

Answer:

449 = 549 – 100

Explanation:

5 hundreds minus 1 hundred is 4 hundreds.So, 549 – 100 = 449.

Question 20.

657 – = 647

Answer:

657 – 10 = 647

Explanation:

5 tens minus 1 tens is 4tens.So, 362 – 10 = 352.

Question 21.

215 – = 205

Answer:

215 – 10 = 205

Explanation:

1 tens minus 1 tens is 0tens.So, 215 – 10 = 205.

Question 22.

700 – = 690

Answer:

700 – 10 = 690

Explanation:

10 tens minus 1 tens is 9tens.So, 700 – 10 = 690.

**Problem Solving**

Solve each problem. Show your work.

Question 23.

**enVision® STEM** Marni is studying facts about bees. She finds that one type of bee can pollinate 955 plants each day. A different type of bee pollinates 100 fewer plants. How many plants does it pollinate?

Answer:

Explanation:

Marni tells that one Bee can pollinate 995 plants and another Bee caan pollinate 100 fewer than the first Bee.

To find the number of plats the second Bee pollinates, subtract 100 from 955.So, 955 – 100 = 855.

Therefore the second Bee can pollinate 855 plants.

Question 24.

Model Alex has five $100 bills, three $10 bills, and four $1 bills. He buys a pair of shoes for $100. How much money does he have left?

___ plants

Answer:

Explanation:

Model Alex has five $100 bills, three $10 bills, and four $1 bills that means he has 534.If he buys a pair of shoes for $100, he will have$ 434(534-100=434) left with him.

Question 25.

**Higher Order Thinking** Think of a 3-digit number. Write a story about subtracting 100 from your number. Then complete the equation to show your subtraction.

Answer:

Explanation:

6 hundreds minus 1 hundred is 5 hundreds.So, 559 – 100 = 559.

Question 26.

Assessment Practice Which equations are true? Choose all that apply.

303 – 10 = 293

493 – 100 = 393

563 – 10 = 453

309 – 100 = 299

Answer:

Explanation:

In the above subtraction equations the marked equation are true.

### Lesson 11.2 Subtract on an Open Number Line

**Solve & Share**

There are 224 girls and some boys in a parade. There are 471 children in the parade. How many boys are in the parade? Use the open number line to solve the problem. Show your work.

Answer:

Explanation:

Add up from 224, the number you are subtracting.Stop at 471.

100+100+10+10+10+10+1+1+1+1+1+1+1=247.

The difference between 471 and 224 is 247.

**Visual Learning Bridge**

**Convince Me!**

What is another way you could add up to find 382 – 247? Explain.

Answer:

**Guided Practice**

Use the open number line to subtract.

Question 1.

573 – 459 = ___

Answer:

Add up from 459, the number you are subtracting.Stop at 573.

100+10+1+1+1+1 = 114.

The difference between 573 and 459 is 114.

Question 2.

672 – 547 = ___

Answer:

Explanation:

Add up from 547, the number you are subtracting.Stop at 672.

100+10+10+1+1+1+1+1=125

The difference between 672 and 547 is 125.

**Independent Practice**

Use the open number line to subtract.

Question 3.

530 – 318 =

Answer:

Explanation:

Add up from 318, the number you are subtracting.Stop at 530.

100+100+10+1+1=212

The difference between 530 and 318 is 212.

Question 4.

735 – 429 = ___

Answer:

Explanation:

Add up from 429, the number you are subtracting.Stop at 735.

100+100+100+1+1+1+1+1+1+1=306.

The difference between 735 and 429 is 306.

Question 5.

802 – 688 =

Answer:

Explanation:

Add up from 688, the number you are subtracting.Stop at 802.

100+10+1+1+1+1=114

The difference between 802 and 688 is 114.

Question 6.

**Vocabulary** Complete the sentences using each word below once.

ones add number

You can add up to subtract on an open number line.

Start at the ___ you are subtracting

___ up hundreds, tens, and

______

Stop at the number you subtract from.

Answer:

**Problem Solving**

Solve each problem. Check your work.

Question 7.

**Reasoning** Yun has 780 blocks. Marsha has 545 fewer blocks than Yun. How many blocks does Marsha have?

___ blocks

Answer:

Explanation:

Add up from 545, the number you are subtracting.Stop at 780.

100+100+10+10+10+1+1+1+1+1=235

The difference between 780 and 545 is 235.

Question 8.

**Higher Order Thinking** Use open number lines to find 463 – 258 in two different ways.

463 – 258 = __

Answer:

Explanation:

First way:

Add up from 258, the number you are subtracting.Stop at 463.

100+100+1+1+1+1+1=205.

The difference between 463 and 258 is 205.

Second way:

Count back from 463,the number from which you have to subtract.Stop at 258.

1+1+1+1+1+100+100=205.

The difference between 463 and 258 is

Question 9.

**Assessment Practice** Write a math story for 653 – 529. Then solve your story.

Answer:

Explanation:

Add up from 529, the number you are subtracting.Stop at 653.

100+10+10+1+1+1+1=124.

The difference between 653 and 529 is 124.

### Lesson 11.3 Subtract Using Models

**Activity**

**Solve & Share**

Use place-value blocks to find 482 – 127. Tell which place value you subtracted first and why. Then draw a picture to show your work.

Answer:

Explanation:

Take away 1 hundreds

Take away 2 tens

Regroup 1 tens as 10 ones, take away 7 ones

So, 482 – 127 = 355.

**Visual Learning Bridge**

**Convince Me!**

Explain why regrouping works in the problem above.

**Guided Practice**

Use and draw blocks to find each difference. Show your work.

Question 1.

Answer:

Take away 1 hundreds

Regroup 1 hundreds as 10 tens, take away 4 tens

Take away 3 ones

So, 326 – 143 = 183.

Question 2.

363 – 127 = ___

Answer:

Explanation:

Take away 1 hundreds

Take away 2 tens

Regroup 1 tens as 10 ones, take away 7 ones

So, 363 – 127 = 236.

Question 3.

546 – 271 = ___

Answer:

Explanation:

Take away 2 hundreds

Regroup 1 hundreds as 10 tens, take away 7 tens

Take away 1 ones

So, 546 – 271 = 275.

**Independent Practice**

Use and draw blocks to find each difference. Show your work.

Question 4.

314 – 152 = ___

Answer:

Explanation:

Take away 1 hundreds

Regroup 1 hundreds as 10 tens, take away 5 tens

Take away 2 ones

So, 314 – 152 = 162.

Question 5.

653 – 419 = ___

Answer:

Explanation:

Take away 4 hundreds

Take away 1 tens

Regroup 1 tens as 10 ones, take away 9 ones

So, 653 – 419 = 234.

Question 6.

438 – 162 = __

Answer:

Explanation:

Take away 1 hundreds

Regroup 1 hundreds as 10 tens, take away 6 tens

Take away 2 ones

So, 438 – 162 = 276.

Question 7.

662 – 480 = ___

Answer:

Explanation:

Take away 4 hundreds

Regroup 1 hundreds as 10 tens, take away 8 tens

Take away 0 ones

So, 662 – 480 = 182.

Question 8.

999 – 834 = ___

Answer:

Explanation:

Take away 8 hundreds

Take away 3 tens

Take away 4 ones

So, 999 – 834 = 165.

Question 9.

599 – 209 = ___

Answer:

Explanation:

Take away 2 hundreds

Take away 0 tens

Take away 9 ones

So, 599 – 209 = 390.

Question 10.

954 – 738 = ___

Answer:

Explanation:

Take away 7 hundreds

Take away 3 tens

Take away 8 ones

So, 954 – 738 = 216.

Question 11.

**Number Sense** Tyler says that the difference of 676 – 367 is greater than 200. Is what Tyler says reasonable? Why or why not?

Answer:

Yes, the diference of 676-367 is

Explanation:

Take away 3 hundreds

Take away 6 tens

Regroup 1 tens as 10 ones, take away 7 ones

So, 676 – 367 = 309.

**Problem Solving**

Solve each problem below. Show your work.

Question 12.

Tia collected cans to raise money for school. She collected 569 cans on Monday. Tia collected some more cans on Tuesday. Now she has 789 cans. How many cans did Tia collect on Tuesday?

Answer:

Explanation:

Take away 5 hundreds

Take away 6 tens

Take away 9 ones

So, 789 – 569 = 220.

Question 13.

**Make Sense** Josh has these bills. How much money does he have?

Answer:

Question 14.

**Higher Order Thinking** Write a subtraction problem about recycling. Use 3-digit numbers. Then solve the problem.

Answer:

Explanation:

Take away 3 hundreds

Regroup 1 hundreds as 10 tens, take away 5 tens

Take away 2 ones

So, 314 – 152 = 162.

Question 15.

**Assessment Practice** Use the place value-blocks to find 864 – 319. Which is the difference?

A. 454

B. 535

C. 545

D. 555

Answer:

Explanation:

Take away 3 hundreds

Take away 1 tens

Regroup 1 tens as 10 ones, take away 9 ones

So, 864 – 319 = 545.

### Lesson 11.4 Subtract Using Models and Place Value

**Activity**

**Solve & Share**

Larissa has $353. She buys a pair of basketball shoes for $117. How much money does she have left over?

Use or draw place-value blocks to solve. Be ready to explain what you did and why it works.

Answer:

Explanation:

$117 + $117 = $234.

Subtract 2 hundreds

Subtract 3 tens

First subtract 3 ones

Regroup 1 tens as 10 ones. then subtract 1 ones

So, $353 – $234 = $119.

**Visual Learning Bridge**

**Convince Me!**

Find 254 – 174. Jason says he can subtract 100, and then 4, and then 70 to find the difference. Do you agree? Explain.

Answer:

Explanation:

Subtract 1 hundreds

First subtract 4 tens

Regroup 1 hundreds as 10 tens. then subtract 3 tens

Subtract 4 ones

So, 254 – 174 = 80.

**Guided Practice**

Draw blocks to find the partial differences. Record the partial differences to find the difference.

Question 1.

**Independent Practice**

Draw blocks to find the partial differences. Record the partial differences to find the difference.

Question 2.

598 – 319 = __

Answer:

Explanation:

Subtract 3 hundreds

Subtract 1 tens

First subtract 8 ones

Regroup 1 tens as 10 ones. then subtract 1 ones

So, 598 – 319 = 279.

Question 3.

794 – 452 = ___

Answer:

Explanation:

Subtract 4 hundreds

Subtract 5 tens

Subtract 2 ones

So, 7+4 – 452 = 342

Question 4.

871 – 355 = ___

Answer:

Explanation:

Subtract 3 hundreds

Subtract 5 tens

First subtract 1 ones

Regroup 1 tens as 10 ones. then subtract 4 ones

So, 871 – 355 = 516.

Solve. Draw blocks to help.

Question 5.

**Higher Order Thinking** There were 642 people at the beach. There were 271 adults at the beach. The rest were children. How many children were at the beach?

___ children

Answer:

Explanation:

Subtract 2 hundreds

First subtract 4 tens

Regroup 1 hundreds as 10 tens. then subtract 3 tens

Subtract 1 ones

So, 642 – 271 = 371.

**Problem Solving**

Solve each problem. You can use models to help. Show your work.

Question 6.

**Model** Jeff has 517 baseball cards. He has 263 football cards. How many more baseball cards than football cards does he have?

___ more baseball cards

Answer:

Explanation:

Subtract 2 hundreds

First subtract 1 tens

Regroup 1 hundreds as 10 tens. then subtract 5 tens

Subtract 3 ones

So, 517 – 263 = 254.

Question 7.

**Reasoning** Felipe has 453 stamps in his collection. Emily has 762 stamps in her collection. How many more stamps does Emily have?

___ more stamps

Answer:

Explanation:

Subtract 4 hundreds

Subtract 5 tens

First subtract 2 ones

Regroup 1 tens as 10 ones. then subtract 1 ones

So, 762 – 453 = 309.

Question 8.

**Assessment Practice** Which numbers complete this partial difference problem for 423 – 219? Choose all that apply.

Answer:

Explanation:

Subtract 2 hundreds

Subtract 1 tens

First subtract 3 ones

Regroup 1 tens as 10 ones. then subtract 6 ones

So, 423 – 219 = 204.

### Lesson 11.5 Explain Subtraction Strategies

**Activity**

**Solve & Share**

Find 532 – 215. Use any strategy. Then explain why your strategy works.

Answer:

**Visual Learning Bridge**

**Convince Me!**

Show how to count up on the open number line to find 437 – 245. Explain why your way works.

Answer:

Explanation:

I counted up from 245 to 437.

I started at 245, I added 192, i ended at 437.So, 245+192=437.

Therefore, 437-245= 192.

**Guided Practice**

Subtract any way you choose. Show your work. Then explain why the strategy works.

Question 1.

Answer:

Subtract 1 hundreds

Subtract 1 tens

First subtract 5 ones

Regroup 1 tens as 10 ones. then subtract 1 ones

So, 345-116=229.

**Independent Practice**

Choose any strategy to solve each subtraction problem. Show your work. Then explain why the strategy works.

Question 2.

312 – 179 = __

Answer:

Explanation:

Subtract 1 hundreds

Regroup 1 hundreds as 10 tens, subtract 7 tens

First subtract 2 ones

Regroup 1 tens as 10 ones. then subtract 7 ones

So, 312 – 179 =133.

Question 3.

464 – 155 = ___

Answer:

Explanation:

Subtract 1 hundreds

Subtract 5 tens

First subtract 5 ones

Regroup 1 tens as 10 ones. then subtract 1 ones

So, 464-155=309.

Question 4.

612 – 478 = ___

Answer:

Explanation:

Subtract 2 hundreds

Regroup 1 hundreds as 10 tens, subtract 7 tens

First subtract 2 ones

Regroup 1 tens as 10 ones. then subtract 6 ones

So, 612-478=134.

Question 5.

**Number Sense** Use place value to find 748 – 319. Complete the equations.

319 = 300 + ___ + 9

Hundreds: 748 – __ = ___

Tens: ___ – 10 = __

Ones: ___ – __ = ___

Answer:

319 = 300 + 10 + 9

Hundreds: 748 – 300 = 448

Tens: 30 – 10 = 20

Ones: 18 – 9 = 9

Explanation:

Subtract 3 hundreds

Subtract 1 tens

First subtract 8 ones

Regroup 1 tens as 10 ones. then subtract 1 ones

So, 748-319=428

**Problem Solving**

Solve each problem. Show your work.

Question 6.

**Explain** Ava wants to use mental math to find 352 – 149. Show how she could find the difference. Is this a good strategy for Ava to use? Explain why or why not.

Answer:

Question 7.

**Higher Order Thinking** Kristin found 562 – 399 = 163 using an open number line. She added up to subtract. First she added 1, then 100, and then 62.

Draw Kristin’s number line. Do you think Kristin’s strategy was helpful? Explain.

Answer:

Explanation:

I counted up from 399 to 562.

I started at 399, I added 163, i ended at 562.So, 399+163=562.

Therefore, 562-399=163.

Question 8.

**Assessment Practice** Jeff counted back on this open number line to find 812 – 125.

Use the numbers on the cards to find the missing numbers in the open number line. Write the missing numbers.

Answer:

Explanation:

Count back from 692, 5 lessthan 692 is 687

Count forward from 692, 10 morethan 692 is 702

10 morethan 702 is 712

100 morethan 712 is 812.

### Lesson 11.6 Persevere

**Solve & Share**

Jody wants to bake 350 muffins. She bakes one batch of 160 muffins and one batch of 145 muffins. How many more muffins does Jody need to bake?

Solve any way you choose. Show your work. Be prepared to explain why your way works.

Answer:

**Thinking Habits**

What do I know? What do I need to find? How can I check that my solution makes sense?

Answer:

Jody wants to bake 350 muffins. She bakes one batch of 160 muffins and one batch of 145 muffins

I know the total number of muffins baked 160+145=305

I need to find the number of muffins to be baked

350-305=45.

I checked my answer by drawing place value blocks.

**Visual Learning Bridge**

**Convince Me!**

What questions can you ask yourself when you get stuck? Be ready to explain how questions can help.

**Guided Practice**

Solve the problem. Remember to ask yourself questions to help. Show your work.

Question 1.

Kim had 455 shells. First, she gives 134 of the shells to a friend. Then she finds 54 more shells. How many shells does Kim have now?

Answer:

Kim will have 375 shells.

Explanation:

Kim had 455 shells. First, she gives 134 of the shells to a friend

455-134=?

Count up to subtract

134+66=200

200+255=455

455-134=6+60+255=321

Then she finds 54 more shells

321+54=?

321+4=325

325+50=375

The number of shells kim have now is Kim have now 321+54=375.

**Independent Practice**

Use the table to solve each problem. Show your work.

Question 2.

How much heavier is a grizzly bear than an arctic wolf and a black bear together?

Answer:

544 pounds

Explanation:

Arctic wolf and black bear together weigh

176+270=446

Grizzly bear weigh 990pounds, subtract weight of arctic wolf and a black bear together from it.

990-446=?

Count up to subtract

446+54=500

500+490=990

990-446=54+490=544

Therefore a Grizzly bear weighs 544pounds more than arctic wolf and a black bear together.

Question 3.

How much less does a black bear weigh than the weight of 2 mule deer?

Answer:

126 pounds

Explanation:

Weight of mule deer is 198 pounds

Weight of 2 mule deers is 396

Weight of black bear is 270

396-270=?

Count up to subtract

270+30=300

300+96=396

396-270=30+96=126

Therefore the black bear is 126pounds lessthan weight of 2 mule deers.

Question 4.

How much more does a polar bear weigh than an arctic wolf, a black bear, and a mule deer together?

Answer:

301 pounds

Explanation:

Weight of polar bear is 945

Weight of an arctic wolf, a black bear, and a mule deer together is 176+270+198=644

176+270=

176+200=376

376+24+46=446

446+198=

446+100=546

546+54+44=644

Subrtact 945 and 644

945-644=?

Count up to subtract

644+56=700

700+200=900

900+45=945

945-644=56+200+45=301

Therefore a polarbear weighs 301pounds morethan the weight of an arctic wolf, a black bear, and a mule deer together.

**Problem Solving**

**Performance Task**

**Big Truck**

The picture at the right shows the height of a truck and the height of a smokestack on top of the truck. The height of a bridge is 144 inches. Use the information at the right. Can the truck travel under the bridge?

Question 5.

**Make Sense** What do you know? What are you trying to find?

Answer:

I know

Height of the bridge is 144inches

I am trying to find the height of the truck.

Question 6.

**Make Sense** What hidden question do you need to answer first? Find the answer to the hidden question.

Answer:

I need to answer the hidden question that is the toatal height of the truck.

Explanation:

The height of the truck is 112+27=?inches

112+7=119

119+20=139inches

Question 7.

**Explain** Can the truck travel under the bridge? Show your work. Why does your solution make sense?

Answer:

Yes, the truck can travel under the bridge.

Explanation:

The height of the truck is 112+27=?inches

112+7=119

119+20=139inches

Height of the bridge is 144inches

As the height of the truck is lessthan the height of the bridge the truck can travel under the bridge.

### Topic 11 Fluency Practice Activity

**Follow the Path**

### Topic 11 Vocabulary Review

**Understand Vocabulary**

Draw a line from each term to its example.

Word List

• difference

• hundreds

• mental math

• open number line

• partial differences

• regroup

Answer:

Explanation:

I matched the words with the example given.

Question 4.

This open number line is incomplete. It needs to show counting back to find 538 – 115. Write in the missing numbers and labels.

Answer:

Explanation:

The misssing numbers are 115, 118, 158 and 358

The labels are open number line, hundreds and difference.

**Use Vocabulary in Writing**

Question 5.

Find 235 – 127. Use terms from the Word List to explain your work.

Answer:

Explanation:

I used open number line to find the difference between 235 and 127,

The difference is 108.

### Topic 11 Reteaching

**Set A**

You can subtract 10 or 100 mentally.

Subtract using place-value blocks or mental math.

Question 1.

426 – 10 = __

Answer:

Explanation:

Ten minus 426 is 416.

Question 2.

345 – 100 = ___

Answer:

Explanation:

Hundred minus 345 is 245.

Question 3.

287 – 100 = ___

Answer:

Explanation:

Hundred minus 287 is 187.

Question 4.

309 – 10 = ___

Answer:

Explanation:

Ten minus 309 is 299.

Question 5.

800 – 10 = ___

Answer:

Explanation:

Ten minus 800 is 790.

Question 6.

140 – 100 = __

Answer:

Explanation:

Hundred minus 140 is 40.

**Set B**

Find 213 – 108.

**One Way**

Start at 108 on an open number line. Add up to 213.

Count back from 213 of an open number line.

So, 213 – 108 = __105__

Use the open number line to subtract.

Question 7.

449 – 217 = ___

Answer:

Explanation:

I counted up from 217 to 449 to find the difference 449-217.

449-217=232.

Question 8.

903 – 678 = ___

Answer:

Explanation:

I counted up from 678 to 903 to find the difference 903-678.

903-678=225.

**Set C**

You can draw place-value blocks to show subtraction. Find 327 – 219.

Answer:

Subtract 2 hundreds

Subtract 1 tens

First subrtact 7 ones

Regroup 1 tens as 10 ones, subtract 2 ones

327-219=108.

Draw blocks to find the partial differences. Record the partial differences to find the difference.

Question 9.

653 – 427 = ___

Answer;

Explanation:

I subrtacted 4 hundreds 2 tens and 7 ones.

653-427=226.

**Set D**

**Thinking Habits**

**Persevere**

What do I know?

What do I need to find?

How can I check that my solution makes sense?

Answer:

I knew how many peenies Marni have, how many she gave to her sister and how many pennies she got from her mother.

I need to find the number of pennies Marni will have after she gets pennies from her mother.

I can check my solution by drawing place value blocks to subtract.

Solve the problem. Ask yourself questions to help.

Question 10.

Marni has 354 pennies. First, she gives 149 pennies to her sister. Then, she gets 210 more pennies from her mother. How many pennies does Marni have now?

Answer:

415 pennies

Explanation:

Marni has 354 pennies. First, she gives 149 pennies to her sister

354-149=?

149+1=150

150+204=354

354-149=1+204=205

she gets 210 more pennies from her mother

205+210=?

205+10=215

215+200=415

Therefore, there are 415pennies with Marni now.

### Topic 11 Assessment Practice

Question 1.

Which equals 100 less than 763? Choose all that apply.

663

600 + 60 + 3

863

800 + 60 + 3

600 + 100 + 60

Answer:

Explanation:

100 minus 763 is 663, it can also be written as 600+60+3.

Question 2.

The open number line below shows subtraction.

Complete the equation. Write the numbers being subtracted and the difference.

___ – ___ = ___

Answer:

587 – 464 = 123

Explanation:

The numbers being subtracted are 100, 10, 10, 1, 1, 1.

Add

100+10+10+1+1+1=123

Therefore, 587-464=123.

Question 3.

Nico collected 235 coins. Amber collected 120 fewer coins than Nico. How many coins did they collect in all?

A. 350

B. 115

C. 500

D. 550

Answer:

A.350

Explanation:

Nico collected 235 coins

Amber collected 120 fewer coins than Nico

Number of coins Nico collected 235-120=?

120+15=135

135+100=235

235-120=15+100=115.

Add 235 and 115

235+115=?

235+15=250

250+100=350.

Therefore, they collected 350coins in altogether.

Question 4.

There are 537 boys and 438 girls at the concert. How many more boys than girls are at the concert?

A. 89

B. 99

C. 101

D. 109

Answer:

B.99

Explanation:

There are 537 boys and 438 girls at the concert

537-438=?

438+12=450

450+87=537

537-438=12+87=99

Therefore, there are 99 boys more than girls in the concert.

Question 5.

Show how to add up on an open number line to find 740 – 490. Then write the difference below.

740 – 490 = ___

Answer:

Question 6.

Look at your work in Item 5. Explain how you used the number line to find the difference.

Answer:

I added up from 490 to 740, the difference between 740 and 490 is 250.

Question 7.

Use place value and partial differences to find 374 – 157. Show your work.

374 – 157 = ___

Answer:

Explanation:

Subtract 1 hundred

Subtract 15 tens

First subtract 4 ones

Regroup 1 tens as 10 ones, then subtract 3 ones

So, 374-157=217.

Question 8.

Draw place-value blocks to find the difference of 643 – 418.

643 – 418 = ___

Answer:

Explanation:

The difference between 643 and 418 is 225.

### Topic 11 Performance Task

**Bead It!**

The chart shows the number of beads sold at Betty’s craft store for 4 weeks.

Question 1.

How many more beads did Betty sell in Week 2 than in Week 1? Write the missing numbers in the equation. Then use any strategy to solve.

__ – ___ = ___

___ more beads

Answer:

536 – 400 = 136

136 more beads.

Explanation:

536-400=136

So, Betty sold 136 beads more in week2 than in week1.

Question 2.

458 glass beads were sold in Week 3. The other beads sold in Week 3 were plastic. How many plastic beads were sold in Week 3?

Use the open number line to solve.

___ – __ = ___

Explain how you solved the problem. Tell how you know your answer is correct.

Answer:

675 – 458 = 217.

Explanation:

I used open number line to solve this problem, i counted and added up from 458 to 675.

So, the difference between 675 and 458 is 217.We can check the answer by counting back from 675 to 458.

Question 3.

Dex buys 243 beads at Betty’s store. He uses 118 of them to make a bracelet. How many beads does Dex have left?

Solve the problem. Show your work. Explain which strategy you used.

___ – ___ = ___

___ beads

Answer:

243 – 118 = 125

125 beads

Explanation:

I used open number line to solve this problem, i counted and added up from 118 to 243.

So, the difference between 243 and 118 is 125.

Question 4.

Ginny buys 958 beads. 245 beads are blue. 309 beads are orange. 153 beads are white. The rest are red. How many red beads does Ginny buy?

**Part A**

What is the hidden question in the problem?

Answer:

The hidden question is the sum of blue, orange and white beads.

**Part B**

Solve the problem. Show your work. Explain which strategy you used.

____ beads

Answer:

278 beads

Explanation:

Ginny buys 958 beads. 245 beads are blue. 309 beads are orange. 153 beads are white. The rest are red

The sum of blue, orange and white beads is 245+309+153=707beads

Therefore, the number of red beads is totalnumber of beads minus 707beads

985-707=278.

So, The number of red beads Ginny buy is 278.