Bravo Math 6 (CCSS)

Page 1


Scope and Sequence Unit 1

Unit 2

2

Adding and Subtracting Through 6 Digits

10

Lesson 1

Adding and Subtracting 2 and 3 Digits

12

Lesson 2

Adding and Subtracting 3 and 4 Digits

14

Lesson 3

Adding and Subtracting 4 Through 6 Digits

16

Lesson 4

Adding 3 or More Numbers (3 Through 6 Digits)

18

Lesson 5

Addition and Subtraction Practice

20

Lesson 6

Estimating Sums and Differences

21

Lesson 7

Problem Solving

23

Unit 3

Lesson 7

Multiplication and Division Practice

40

Lesson 8

Problem Solving

43

Understanding Fractions

46

Lesson 1

Prime and Composite Numbers

48

Lesson 2

Finding the Greatest Common Factor

50

Lesson 3

Reducing Fractions to Their Simplest Form

52

Lesson 4

Finding Common Denominators

54

Lesson 5

Changing Improper Fractions to Mixed Numerals

56

Lesson 6

Changing Mixed Numerals to Improper Fractions

58

Multiplying and Dividing Whole Numbers

26

Lesson 7

Simplifying Mixed Numerals

60

Lesson 1

Multiplying 2, 3, and 4 Digits by 1 Digit

28

Lesson 8

Practice

62

Lesson 2

Multiplying 2, 3, and 4 Digits by 2 Digits

30

Lesson 3

Multiplying 3 and 4 Digits by 3 Digits

32

Lesson 4

Dividing 2, 3, and 4 Digits by 1 Digit

34

Lesson 5

Dividing 2 and 3 Digits by 2 Digits

36

Lesson 6

Dividing 4 and 5 Digits by 2 Digits

38

Unit 4

Adding and Subtracting Fractions

66

Lesson 1

Adding Fractions With Like Denominators

68

Lesson 2

Subtracting Fractions With Like Denominators

70

Lesson 3

Adding and Subtracting Fractions With Unlike Denominators

72

Lesson 4

Adding Mixed Numerals With Unlike Denominators

74 3


Unit 5

4

Lesson 5

Subtracting Mixed Numerals With Unlike Denominators

76

Lesson 6

Mixed Numeral Practice

78

Lesson 7

Problem Solving

79

Unit 6

Adding and Subtracting Decimals

110

Lesson 1

Tenths and Hundredths

112

Lesson 2

Thousandths and Ten Thousandths

114

Lesson 3

Changing Fractions to Decimals

116

Multiplying and Dividing Fractions

82

Lesson 4

Changing Decimals to Fractions

118

Lesson 1

Multiplying Fractions

84

Lesson 5

Comparing and Ordering Decimals

120

Lesson 2

Multiplying Fractions and Whole Numbers

86

Lesson 6

Adding Decimals

122

Lesson 3

Multiplying Mixed Numbers With Fractions or Whole Numbers

88

Lesson 7

Subtracting Decimals

124

Lesson 4

Multiplying Mixed Numbers

90

Lesson 8

Inserting Zeros for Addition and Subtraction

126

Lesson 5

Multiplication Practice

92

Lesson 9

Adding Money

128

Lesson 6

Problem Solving

95

Lesson 10 Subtracting Money

130

Lesson 7

Reciprocals

96

Multiplying and Dividing Decimals

Lesson 8

Dividing Whole Numbers and Fractions

98

134

Lesson 1

Multiplying Decimals

136

Lesson 9

Dividing Fractions by Fractions

Lesson 2

Multiplying Money

138

Lesson 3

Multiplication Practice

140

Lesson 4

Problem Solving

145

Lesson 5

Dividing Decimals by Whole Numbers

146

100

Lesson 10 Dividing Mixed Numbers

102

Lesson 11 Division Practice

104

Lesson 12 Problem Solving

107

Unit 7

5


Unit 8

6

Customary Measurement

182

150

Lesson 1

Units of Length (Inches, Feet, Yards, and Miles)

184

Dividing by Two Digits

152

Lesson 2

Liquid Volume (Cups, Pints, Quarts, and Gallons)

187

Dividing Money

154

Lesson 3

Weight (Ounces, Pounds, and Tons)

190

Lesson 10 Checking Division Problems

156

Lesson 4

Measuring Perimeter and Area

193

Lesson 11 Problem Solving

159

Lesson 5

Measuring Volume

196

Lesson 6

Problem Solving

199

Unit 10 Metric Measurement

202

Lesson 6

Dividing Whole Numbers by Decimals

148

Lesson 7

Dividing Decimals by Decimals

Lesson 8 Lesson 9

Finding Percents

162

Lesson 1

Understanding Percents

164

Lesson 2

Percents to Fractions and Fractions to Percents

167

Lesson 3

Percents to Decimals and Decimals to Percents 170

Lesson 4

Multiplying by Fractions

173

Lesson 5

Multiplying by Decimals

176

Lesson 6

Problem Solving

179

Unit 9

Lesson 1

Units of Length (Millimeters, Centimeters, Meters, and Kilometers)

204

Lesson 2

Liquid Volume (Milliliters, Liters, and Kiloliters)

207

Lesson 3

Weight (Milligrams, Grams, and Kilograms)

210

Lesson 4

Measuring Perimeter and Area

212

Lesson 5

Measuring Volume

214

Lesson 6

Problem Solving

217

Lesson 7

Equivalent Measurements

218

Lesson 8

Rounding Measurements

221

7


Unit 11 Probability and Statistics

Lesson 7

Circles

264

Lesson 8

Solid Figures

266

Lesson 1

Reading Bar Graphs

228

Lesson 2

Reading Line Graphs

230

Lesson 3

Reading Circle Graphs

232

Lesson 4 Lesson 5 Lesson 6 Lesson 7 Lesson 8

Measures of Central Tendency Stem-and-Leaf Plots Box-and-Whisker Plots Making Tree Diagrams Calculating Probability

Unit 12 Geometry

8

226

Unit 13 Preparing for Algebra

270

Lesson 1

The Order of Operations

272

Lesson 2

Number Properties

274

Lesson 3

The Distributive Property

277

Lesson 4

Variable Expressions and Equations

280

Lesson 5

Solving Addition and Subtraction Equations

282

Lesson 6

Solving Multiplication and Division Equations

284

250

Lesson 7

Exponents and Scientific Notation

286

234 237 240 242 245

Lesson 1

Points, Lines, and Rays

252

Lesson 8

Comparing and Ordering Integers

288

Lesson 2

Measuring Angles

254

Lesson 9

Adding Integers

290

Lesson 3

Types of Angles

256

Lesson 10 Plotting Ordered Pairs

Lesson 4

Triangles

258

Lesson 5

Quadrilaterals

260

Lesson 6

Polygons

262

293

9


My Goals Lesson 1- Adding and Subtracting 2 and 3 Digits Lesson 2- Adding and Subtracting 3 and 4 Digits Lesson 3- Adding and Subtracting 4 Through 6 Digits Lesson 4- Add 3 or More Numbers (3 Through 6 Digits) Lesson 5- Addition and Subtraction Practice Lesson 6- Estimating Sums and Differences

n This Unit Your child will learn to add and subtract up to five numbers and through six digits, while using techniques such as carrying and regrouping numbers. 4 12

52,689 - 45,232 7,457

Adding and Subtracting Through 6 Digits

Unit 1

235,489 -125,362 110,127

Your child will learn to round and estimate to get an approximate answer for addition and subtraction problems as well as solve word problems related to what was learned in the unit.

Lesson 7- Problem Solving

Ways to Help Create addition and subtraction problems from everyday life so that they can create their own problems and practice. For example, use their birthdays as numbers to add and subtract: 02/10/17 + 11/09/17

21,017 +110,917 131,934

At Home Activities Create two- to six-digit numbers by rolling dice and then creating addition or subtraction problems. Take turns solving the addition and subtraction problems. Have the other person check the answer. Give a point for each right answer.

10

Unit 1 Adding and Subtracting Through 6 Digits

Essential Question: Can you add 5-digit numbers? 11


1-1

Adding and Subtracting 2 and 3 Digits

Add or subtract.

Adding 2 and 3 digits

25 +12 37

125 + 25

Add the ones. Add the tens.

Subtract the ones. Subtract the tens.

859 + 63

548 + 36

458 +458

Add the ones.

11

458 + 62 520

Add the tens. Add the hundreds.

Subtracting 2 and 3 digits

45 - 3 42

45 +12

Subtract the ones.

6 15

175 - 26 149

458 - 25

879 - 54

421 -152

258 - 45

365 - 95

452 + 25

125 + 75

845 +568

785 + 45

546 + 23

122 - 10

450 -351

753 -165

854 -362

265 - 24

32 +14

574 +126

325 + 65

200 + 32

199 +250

528 - 32

154 - 62

350 -150

654 -124

466 -123

Subtract the tens. Subtract the hundreds.

Add or subtract.

12

58 +12

114 + 25

582 +365

14 +3

45 -12

65 - 5

754 - 65

421 - 54

13


1-2

Adding and Subtracting 3 and 4 Digits

Add or subtract.

Adding

11

1,256 +1,248 2,504

Add the ones. Add the tens. Add the hundreds. Add the thousands.

Subtracting 7 I6

5,869 - 175 5,694

Subtract the ones. Rename 6 in the tens place as I6. Rename the 8 in the hundreds place as 7. Subtract the tens. Subtract the hundreds. Subtract the thousands.

Add or subtract.

14

5,374 + 452

6,589 + 325

5,478 +6,358

4,576 + 241

3,259 - 458

5,236 - 361

8,428 - 231

3,654 - 140

4,586 +4,589

5,268 +5,689

6,358 +1,253

8,754 +1,254

4,857 +2,531

1,235 +4,583

3,589 +5,788

6,358 +9,658

6,558 +3,662

8,528 +1,475

2,589 - 698

7,859 - 6,985

4,125 - 3,652

7,854 - 6,523

4,586 - 362

5,289 - 658

7,833 - 1,000

4,576 - 635

2,236 - 1,252

625 - 360

6,253 +3,656

1,025 +1,254

6,523 +3,652

2,412 + 356

5,241 +3,256

9,689 - 6,000

4,500 - 652

6,580 - 3,522

2,333 - 250

1,256 - 332

15


1-3

Adding and Subtracting 4 Through 6 Digits

Add or subtract.

Adding

45,144 + 2,516

27,833 - 27,831

259,238 + 31,362

76,916 - 3,957

13,912 - 7,595

37,638 - 3,957

32,944 + 3,472

45,868 + 31,730

94,688 - 27,531

21,269 + 31,362

254,869 + 658,965

336,600 - 19,704

340,738 - 9,334

251,000 + 65,200

259,238 - 58,930

528,697 - 5,685

658,932 + 658,222

698,532 - 425,789

325,110 + 225,544

114,258 - 32,569

Add from right to left. Regroup, if needed. 1

1

5,683 + 4,583 10,266

1

1

1 1 1

35,896 + 42,36 1 78,257

1 1

652,485 + 558,698 1,211,183

Subtracting Subtract from right to left. Regroup, if needed. 4 12

52,689 - 45,232 7,457

235,489 - 125,362 110,127

Add or subtract.

16

75,896 - 4,587

32,568 +47,852

67,859 -12,548

64,786 +23,589

788,489 - 8,432

635,874 + 412,542

457,223 + 25,368

267,132 - 6,821

124,365 + 782,356

45,789 +36,259

58,496 - 6,521

87,596 +36,689

75,983 - 45,782

45,879 + 124,589

589,675 - 254,698

367,965 + 65,482

968,542 -125,365

326,658 + 65,832

17


1-4

Adding 3 or More Numbers (3 Through 6 Digits) 1 2

Add.

2 2

15,698 52,489 36,521 + 52,689 157,397 Add the ones.

8 9 1 +9 27

2 9 8 2 +8 29

Rename 27 as 2 tens and 7 ones. Carry the 2 to the tens place.

Rename 29 as 2 hundreds and 9 tens. Carry the 2 to the hundreds place.

Add the thousands.

Add the ten thousands.

2 5 2 6 +2 17

Rename 17 as 1 ten thousand and 7 thousands. Carry the 1 to the ten thousands place.

18

Add the tens.

1 1 5 3 +5 15

15,248 32,569 + 2,586

26,731 53,665 + 4,327

11,998 9,342 +34,875

67,748 48,933 +19,256

628,895 65,894 + 55,120

635,021 365,286 245,368 +124,857

425,689 752,387 32,548 + 6,573

4,258 65,791 + 42,977

12,548 25,476 65,328 + 43,412

325,698 152,452 + 32,543

436,744 249,825 + 51,293

65,983 32,564 + 54,458

946,897 625,987 +479,124

452,678 632,595 124,598 + 536,636

524,635 237,520 223,458 + 360,220

421,325 635,232 752,875 + 584,364

Add the hundreds.

2 6 4 5 +6 23

Rename 23 as 2 thousands and 3 hundreds. Carry the 2 to the thousands place.

19


1-5

1-6

Addition and Subtraction Practice

When estimating sums, round each number to the greatest common

Add or subtract.

52,468 + 6,572

Estimating Sums and Differences

place value. Then, add from right to left.

258,967 + 658,935

65,996 + 457,823

85,969 + 362,822

2,564 + 4,528

4,587 - 325

52,879 - 9,533

96,587 - 854

365,874 - 102,365

3,000 +5,000 8,000

3,689 + 358

3,700 + 400 4,100

When estimating differences, round each number to the greatest common place value. Then, subtract from right to lef t.

45,876 3,625 + 5,248

325,837 568,745 + 658,459

45,285 - 2,568

725,694 + 6,253

8,256 - 3,528

8,000 - 4,000 4,000

6,582 - 321

6,600 - 300 6,300

Estimate. Add or subtract.

7,587 6,959 3,758 + 5,586

20

45,896 35,632 63,253 + 5,632

6,200 3,256 9,653 + 8,325

2,135 7,325 1,259 + 6,520

4,589 - 425

25,069 +47,853

63,660 - 524

63,598 +22,031

58,963 - 4,785

74,032 - 6,258

21


1-7

Estimate, then add or subtract.

45,896 +58,965

8,549 - 658

965,855 +632,543

75,214 - 3,521

Problem Solving

Solve.

Show your work!

I. Steven’s car had 35,769 miles in 2011. In 2016 his car had 121,649 miles. How many more miles did Steven’s car have in 2016 than 2011? Steven’s car had __________ more miles in 2016.

2. Janet has an orange orchard. It produced 574,871 oranges last year and 679,041 oranges this year. How many oranges did Janet’s orchard produce all together?

457,852 + 23,548

63,521 - 4,524

22

536,587 + 32,548

685,963 -125,436

425,366 + 34,585

525,674 + 45,289

875,965 - 358,200

362,598 - 85,845

Janet’s orchard produced __________ oranges altogether.

3. Michael owns a car worth ¤125,000, another car worth ¤231,500, and one worth ¤451,800. How much are his cars worth altogether? Michael’s cars are worth ¤__________ altogether.

4. Emma recycled 456,432 cans and 213,784 glass bottles this year. Estimate how many cans and glass bottles she recycled. Emma recycled about _________ cans and glass bottles this year.

5. Julia earned a salary of ¤329,890 last year. This year she earned a salary of ¤407,754. Estimate how much more money she earned this year than last year. Julia earned about ¤ _______ more this year.

23


Check What You Learned Add or subtract.

Solve.

427 + 496

5,432 + 6,365

848 + 2,317

23,119 + 6,341

238,107 + 76,202

1,007 - 488

657 - 323

374 - 285

898 - 389

166 - 28

367 132 + 355

4,710 5,712 + 8,584

13,662 35,121 + 28,618

72,686 4,315 + 1,660

317,219 24,882 + 19,224

3,861 - 2,445

6,284 - 5,925

3,657 - 2,359

9,633 - 6,818

7,593 - 3,616

Estimate, then add or subtract.

24

264 123 742 + 158

310,050 - 57,840

525,887 + 14,224

427,908 - 35,245

288,160 + 226,318

842,096 - 287,059

Show your work!

I. Martha has 239,837 points. She needs 857,245 points. How many more points does Martha need? Martha needs _______ more points.

2. Stan earned 12,548 travel miles in 2016. In 2017, he earned 54,365. How many travel miles did Stan earn in 2016 and 2017? Stan earned __________ travel miles in 2016 and 2017.

3. The doughnut shop made 65,584 doughnuts in January. In February, it made 67,475. Estimate the amount of doughnuts the shop made in both months. The shop made about ______ doughnuts in January and February.

4. Wendy likes to fly her plane. She flew 4,536 miles in March. In April she flew 2,541 miles. How many miles did she fly altogether? Wendy flew _______ miles.

5. Rick made 458 pizzas in 2016. In 2017, he made 564. How many more pizzas did Rick make in 2017? Rick made __________ more pizzas in 2017.

25


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