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