Scope and Sequence Unit 1
Adding and Subtracting up to 3-Digit Numbers Lesson 1 Lesson 2 Lesson 3
Adding 1- and 2-Digit Numbers
Subtracting 1- and 2-Digit Numbers
Adding Three or More Numbers (Single Digit)
10 12
Numeration to 1,000,000
42
Lesson 1
Understanding Place Value to Hundreds
44
Lesson 2
Understanding Place Value to Ten Thousands
47
Lesson 3
Understanding Place Value to Hundred Thousands
50
Lesson 4
Understanding Place Value to Millions
53
Lesson 5
Rounding
56
Lesson 6
Greater Than, Less Than, or Equal To
60
15 18
Lesson 4
Adding 2 Digits (With Regrouping)
21
Lesson 5
Adding Three or More 2-Digit Numbers
24
Lesson 6
Subtracting 2 Digits From 3 Digits (With Regrouping)
Unit 3 27
Adding and Subtracting 3 to 5 Digits
66
Lesson 1
Adding 3-Digit Numbers
68
Lesson 2
Adding 4-Digit Numbers
71
Lesson 7
Thinking Subtraction for Addition
30
Lesson 8
Thinking Addition for Subtraction
33
Lesson 3
Subtracting from 4 Digits
74
Lesson 9
Thinking Practice
36
Lesson 4
Problem Solving
77
38
Lesson 5
Adding 3 or More Numbers (to 4 Digits)
79
Lesson 10 Problem Solving 2
Unit 2
3
Lesson 6
Adding 4- and 5-Digit Numbers
82
Lesson 7
Subtracting 4- and 5-Digit Numbers
85
Lesson 8
Problem Solving
88
Lesson 9 Multiplication Practice
119
Lesson 9
Addition and Subtraction Practice
90
Lesson 10 Problem Solving
121
Dividing up to 81 Divided by 9
124
Lesson 10 Estimating Sums and Differences
Lesson 7 Multiplying 2 Digits by 2 Digits (With Regrouping) 115 Lesson 8 Multiplying 3 Digits by 2 Digits (With Regrouping) 118
94
Unit 5 Unit 4
Multiplying up to 3 Digits by 2 Digits
100
Lesson 1
Dividing up to 45 Divided by 5
126
Lesson 1
102
Lesson 2
Dividing up to 63 Divided by 7
129
Lesson 3
Dividing up to 81 Divided by 9
132
Lesson 4
Division Practice
133
Lesson 5
Problem Solving
136
Multiplying Single Digits
Lesson 2 Multiplying 2 Digits by 1 Digit
105
Lesson 3 Multiplying 2 Digits by 1 Digit (With Regrouping) 107 Lesson 4 Problem Solving
109
Lesson 5 Multiplying 3 Digits by 1 Digit (With Regrouping) 110 Lesson 6 Multiplying 2 Digits by 2 Digits
4
113
Unit 6
Dividing 2 Digits and 3 Digits by 1 Digit
142
Lesson 1
144
Dividing 2 Digits
5
Unit 7
6
Lesson 2
Division Practice
148
Lesson 9
Lesson 3
Dividing 3 Digits
150
Lesson 10 Subtracting Decimals
188
Lesson 4
Division Practice
154
Lesson 1 1
Problem Solving
191
Metric Measurement
194
Adding Decimals
185
Fractions, Decimals, and Money
158
Lesson 1
Parts of a Whole
160
Lesson 1
Measuring in Centimeters
196
Lesson 2
Parts of a Set
164
Lesson 2
Measuring in Millimeters
199
Lesson 3
Comparing Fractions
166
Lesson 3
Meters and Kilometers
202
Lesson 4
Finding Equivalent Fractions
169
Lesson 4
Units of Length
205
Lesson 5
Adding Fractions With Like Denominators
173
Lesson 5
Measuring Perimeter
206
Lesson 6
Subtracting Fractions With Like Denominators
176
Lesson 6
Measuring Area
209
Lesson 7
Problem Solving
179
Lesson 7
Liquid Volume (Milliliters)
212
Lesson 8
Understanding Decimals
181
Lesson 8
Weight (Milligrams, Grams, and Kilograms)
215
Unit 8
7
Unit 9
Customary Measurement
220
Lesson 1 Measuring Inches
222
Lesson 1
Plane Figures
258
Lesson 2 Units of Length (Inches, Feet, Yards, and Miles)
224
Lesson 2
Solid Figures
260
Lesson 3 Liquid Volume (Cups, Pints, Quarts, and Gallons) 228
Lesson 3
Congruent Figures
262
Lesson 4 Weight (Ounces, Pounds, and Tons)
231
Lesson 4
Points, Lines, and Rays
266
Lesson 5 Measuring Perimeter
235
Lesson 5
Identifying Angles
269
Lesson 6 Measuring Area
238
Lesson 6
Parallel and Perpendicular Lines
272
Lesson 7 Problem Solving
241
Unit 11 Geometry
Unit 12 Preparing for Algebra
8
256
278
Unit 10 Reading Graphs
244
Lesson 1
Repeating Number Patterns
280
Lesson 1
Reading Bar Graphs
246
Lesson 2
Growing Number Patterns
282
Lesson 2
Reading Line Graphs
250
Lesson 3
Geometric Patterns
285
Lesson 3
Probability
252
Lesson 4
Number Sentences
288
Lesson 5
Problem Solving
292 9
My Goals Lesson 1 - Adding I- and 2-Digit Numbers Lesson 2 - Subtracting I- and 2-Digit Numbers Lesson 3 - Adding Three or More Numbers (Single Digit) Lesson 4 - Adding 2 Digits (With Regrouping) Lesson 5 - Adding Three or More 2-Digit Numbers Lesson 6 - Subtracting 2 Digits From 3 Digits (With Regrouping)
n This Unit
Lesson 7 - Thinking Subtraction for Addition
Your child will learn to add and subtract up to four numbers. The numbers will vary from one- to three-digit numbers. They will build up their skills gradually by adding and subtracting with and without regrouping, then using the opposite operation to check their answers.
I53 - 2I I32 + 2I I53
Adding and Subtracting up to 3-Digit Numbers
Unit I
To check I53 - 2I = I32,
Lesson 8 - Thinking Addition for Subtraction Lesson 9 - Problem Solving
Ways to Help Help reinforce addition and subtraction by writing different problems on index cards and writing their answers on other cards. Have your child match each problem to its solution.
add 2I to I32.
Your child will use their skills in solving word problems.
At Home Activities Provide your child practice with counters or blocks. Write addition and subtraction problems on index cards and have them represent the problems using the given counters or blocks then write their answers on the index cards.
10
Unit 1 Adding and Subtracting up to 3-Digit Numbers
Essential Question: How do you add and subtract?
11
I-I
Adding I-and 2-Digit Numbers
Add.
In addition, you add two or more addends to get a sum.
5 +2 7
addend addend sum
50 +20 70
If 5 + 2 = 7, then 50 + 20 = 70.
52 +I4 Add the ones.
52 +I4 6
I0 +6
I2 +32
23 +I 2
79 +I0
47 +I2
82 +I 5
42 +35
6 +3
I3 +2
2 +I 7
62 + I
62 +I 3
5 +I 2
I3 +I 6
9I +7
80 + I6
46 +2 I
62 +I2
2 +40
I6 +2
7 +22
34 +24
5I + 48
46 +23
Add the tens.
52 +I4 66
Add. Example 1:
12
Example 2:
23 + 6
23 + 6 9
23 + 6 29
I4 +I2
22 +23
22 +23
22 +23
42 +24
I4 +I2 6
42 +24
I4 +I2 26
42 +24
13
I-2
Add.
20 +I 5
62 +I 3
8 +40
60 +I 3
Subtracting I-and 2-Digit Numbers
In subtraction, you subtract the subtrahend from the minuend to get the difference. minuend
52 +I 2
60 +I 7
I9 +20
40 +40
subtrahend difference
5 -2 3
25 -I 2
50 -20 30
Subtract the ones.
25 -I 2 3
If 5 - 2 = 3, then 50 - 20 = 30.
8 +2 I
I5 +I 2
5 +I 0
14
5 +4
I2 +I 6
44 +30
3I + 6
I +8
32 +30
Subtract the tens.
25 -I 2 I3
Subtract. Example 1:
Example 2:
32 - 2
32 - 2 0
92 -30
92 -30
36 +23
32 - 2 30
92 -30
40 -20
40 -20 0
40 -20 20
59 -37
59 -37
59 -37
15
Subtract.
16
Subtract.
33 -I2
40 -20
89 -20
89 - 5
80 -I 0
72 -I 2
39 -I8
62 - 2
49 -27
67 - 6
34 -2 I
45 -32
66 -30
72 -62
I9 -I 5
70 -50
38 -37
7I -20
44 -32
92 -7 I
I5 -3
39 - 3
34 -I0
34 -24
32 -I2
I8 -6
79 -35
55 -4 I
I2 - I
70 -20
9I -50
I2 -2
I5 -3
35 - 3
I3 -I 2
99 -80
23 -I2
2I -II
32 -I I
66 -4 I
17
I-3
Adding Three or More Numbers (Single Digit)
Add.
When you add three or more numbers, pick two numbers to add first. Then add the third. If there is a fourth, add that next.
2 4 +8
I 5 6 +2
6 +8 I4
6 6 +2
I2 +2 I4
Examples:
18
I 7 +6
I 7 +6
3 5 +7
3 5 +7
I 2 4 +8
I 2 4 +8
2 5 6 +3
2 5 6 +3
3
7
2 3 +6
8 7 +2
2 6 +9
8 5 +3
6 7 +I
4 8 +I
4 9 +2
2 8 +3
5 9 +3
9 8 +I
4 9 +2
6 3 +7
4 6 +8
I 5 +7
7 5 +3
3 6 +8
8 +6 I4
8
8 +7 I5
8
3 4 +8
7 6 +3
7
9
7 +8 I5
7 +9 I6
19
I-4
Add.
7 2 4 +2
I 5 9 +3
3 8 2 +3
I 2 8 +3
2 0 6 +5
8 6 0 +I
I 2 3 +5
3 7 7 +8
Adding 2 Digits (With Regrouping)
Add the ones first, then the tens. Add the ones.
43 +I 8
2 3 4 +2
20
2 5 4 +6
4 2 2 +0
9 3 3 +I
8 8 7 +7
2 8 5 +5
I 2 3 +7
43 +I 8 I
3 + 8 = I I or I0 + I = I
Add the tens. I
43 +I 8 6I
Add. Example 1:
39 +I 7 3 5 2 +7
I
I
9 + 7 = I6 or I0 + 6
I
39 +I 7 6
39 +I 7 56
I
I
Example 2:
66 +44
6 + 4 = I0 + 0
76 +36
66 +44 0
76 +36
6+6=
66 +44 I I0
76 +36
21
Add.
Add.
22
36 +I 5
36 +I 7
56 +22
I9 +I 4
75 + 8
I2 +30
86 + 5
37 +27
I6 +26
53 + 9
29 +24
99 +I 5
66 +32
56 +56
59 +I 6
37 +97
48 +22
67 +55
I9 +36
I3 +68
I4 +48
36 +48
46 +27
7I +I 9
45 +35
39 +29
8 +38
74 + 7
26 +I 4
28 +57
9 +48
73 + 9
66 + 6
48 +32
I6 +36
43 +I7
78 + 8
86 +26
63 +63
27 +69
37 +29
I2 +32
23
I-5
Adding Three or More 2-Digit Numbers
Add.
Add the ones.
32 48 +27
Add the tens. I
32 48 +27 I 07
I
32 48 +27 2 + 8 + 7 = I7 = I0 + 7 7
78 48 +95
38 68 +57
97 42 +63
45 65 +66
97 I9 +49
38 75 +32
8I 92 +95
75 78 +78
84 62 +69
38 75 +33
88 82 +63
37 30 +I 3
53 89 +95
38 75 +57
40 39 +77
62 75 +68
25 34 +53
I0 + 30 + 40 + 20 = I00
Example 1:
35 48 +53
32 I9 +46
I
5 + 8 + 3 = I6 or I0 + 6 I0 + 30 + 40 + 50 = I30
35 48 +53 6
I
35 48 +53 I36 I30 = I00 + 30
Example 2:
86 75 +63
I
6 + 5 + 3 = I4
86 75 +63 4
I0 + 80 + 70 + 60 = 220 24
I
86 75 +63 224 220 = 200 + 20
25
I-6
Add.
36 42 59 +I2
26
73 22 40 +82
88 I8 I8 +82
85 20 93 +44
57 39 36 +I3
29 63 47 +38
99 62 84 +34
I9 I7 38 +42
2I 45 38 +79
27 85 43 +62
I5 40 55 +92
58 88 I3 + 3
40 2 I2 +I3
9 33 77 +I3
46 I0 92 +56
9 I3 7 +2 I
82 63 73 +44
I8 29 43 +I 2
Subtracting 2 Digits From 3 Digits (With Regrouping)
To subtract the ones, regroup 2 tens and 2 ones as I ten and I2 ones.
I22 - 29
I I2
I22 - 29
Regroup 5I5 as 5 hundreds, 0 tens, and I5 ones. Subtract the ones.
5I5 - 27
Subtract the ones. I I2
I22 - 29 3
Then regroup 5 hundreds as 4 hundreds and I0 tens. Subtract the tens. 0 I5
5I5 - 27 8
4 I0 I5
5I5 - 27 88
Subtract the tens. II 0 I I2
I22 - 29 93
Subtract the hundreds.
4 I0 I5
5I5 - 27 488
Example:
I 75 - 37
6 I5
I 75 - 37 I38
27
Subtract.
28
Subtract.
I 86 - 47
382 - 73
436 - 47
725 - 39
I 44 - 33
67 I - 33
I 42 - 65
226 - 96
776 - 87
929 - 36
657 - 74
533 - I2
792 - 56
I 88 - 6
326 - 47
237 - 27
442 - 54
672 - 29
327 - 59
I 34 - 56
255 - 66
48 I - 92
672 - 89
827 - 49
52 I - I9
I 83 - 68
323 - I8
934 - I9
882 - 48
453 - 37
722 - 88
253 - 67
444 - 58
38 I - 54
I 25 - 38
660 - 86
I 93 - 47
433 - I3
54 I - 38
846 - 88
653 - 69
76 I - 27
300 - 22
257 - 98
962 - 89
729 - 66
827 - 58
527 - 59
29
I-7
Thinking Subtraction for Addition
Add, then check your answer.
43 +56
To check your addition answer, you can use subtraction.
These numbers should be the same.
Example 1:
32 +65 97 -65 32
To check 32 + 65 = 97,
-
52 +63 -
36 +42 -
57 +23 -
subtract 65 from 97.
Example 2:
87 +I2 99 - I2 87
23 +I6 39 - I6 23
53 +27 -
I 36 + 29
43 +56 -
-
46 +I 4 -
Add, then check your answer.
53 +23 -
30
47 +I I
63 +47 -
37 +2 I -
82 +37 -
79 +I 9 -
-
31
I-8
Add, then check your answer.
203 + 52
I 29 + 34
-
-
I 53 + 36 -
II9 + 42 -
I 36 + I7
Thinking Addition for Subtraction
To check your subtraction answer, you can use addition.
These numbers should be the same.
I 28 + 78 -
I 43 + 40 -
I 46 + 52 -
I 42 + 36 -
32 +78 -
Example 1:
I 53 - 2I I 32 + 2I I53
To check I53 - 2I = I32, add 2I to I32.
Example 2:
I3I - 36 95 + 36 I3I
I 80 - 80 I00 + 80 I80
Subtract, then check your answer.
I7I + 82 -
32
I 59 + 37 -
I 79 + 30 -
I 49 + 58 -
I 24 + 26 -
I 54 - 26 +
34 -I9 +
33
Subtract. Then, check your answer.
92 - 30 +
I3 -9
29 - 6 +
I 55 - 28
34
46 -2 I
I32 - 27 +
43 -36 +
+
+
72 -30 +
56 -32 +
+
Subtract. Then, check your answer.
I32 - 73
35 - I2 +
+
+
I26 - 34 +
I 29 - 30
I 63 - 82
67 -24
I72 - 6I +
+
+
+
+
32 -I2
87 -62 +
+
82 -40
I 9I - 82 +
85 -I7
I 29 - 64 +
+
I 74 - 60 +
II0 - 20 +
+
I 92 - 73
70 - I3 +
49 -I5
+
I 53 - 62 +
I 72 - 60 +
I 77 - 80
90 -32 +
I 67 - 32 +
93 -8 I +
35
I-9
Thinking Practice
Write the missing numbers.
To find the minuend, you add the difference and the subtrahend.
- 9 3
-
9 + 3 = I2, so I2 - 9 =3
842 758
-
332 248
-
77
- 49 87
66
-
I62 69
- 97 78
- 92 49
- 95 86
To find the subtrahend, you subtract the difference from the minuend.
-
9 9 - 3 = 6, so 9 - 6 = 3
3
Write the missing numbers.
37 I - 39 332
546 - 27
I 28 - 19 I09
583 - 68
345 - 26
191 - 72 II9
-
356 - 29
- 47
- I9 733
- I8 909
857 819
474 - 436
I85 88
- 287 I 86 372 - 36
36
56 I - 33 528
153 - 28 725
677 - 39 638
- 37 136
- 88 89
- 58 69
623
547
-
578
-
479
-
588 579
- 33 246
-
582 489
- 94 358
99 I - 73
37
I-I0
Problem Solving
Solve each problem.
Here are some key words to tell you which mathematical operation to use.
Addition
Subtraction
Multiplication
Division
In all
Fewer
Product
Quotient
Sum
Left
Times
Half
Total
Less than
Twice
Dividend
More than
Take away
Each
Divided
Plus
Minus
Factor
Shared
Altogether
Difference
Multiply
Equally
Example: Mr. Jones had I53 baseball hats at his store. He sold 36 this week. How many baseball hats does he have now?
I53 - 36 II7 Try it Mrs. Jones has 34 tomato plants. She plants I5 more. How many tomato plants does she have in all?
_________ + _________ = _________
I. Melissa needs to make 233 cupcakes for a bake sale at school. She has made 87 cupcakes already.
Show your work!
How many more cupcakes does she have left to make?___________
2. The airplane holds 366 passengers. There are 78 passengers on the airplane now. How many seats are left?___________
3. Jon likes lemonade. He needs I37 lemons to make enough for his party. He has 87 lemons. How many more lemons does he need?___________
4. Kim and Kelly went to see a movie. The movie is I63 minutes long. They have been watching the movie for 54 minutes. How many minutes do they have left?___________
5. Michael and Peg are playing basketball. Michael has scored 65 points. Peg has scored 32 points. How many points have they scored altogether?___________
38
39
Check What You Learned Solve each problem.
30 -I7
94 -25
5I -25
37 +82
I. The school asked each grade to bring in canned foods. The fifth grade brought in 45 cans. The second grade brought in 68 cans. The third grade brought in I9 cans. How many cans do they have altogether?
Show your work!
The school has ______ cans altogether.
I5 I2 +2
32 5 +2 I
337 + 79
88 -49
2. On vacation, twin sisters play a game by counting the stop signs they see. Amy counted 98. Suzanne counted 54. How many stop signs did they see altogether? The twins saw ______ stop signs altogether.
I3 +I 3
I 08 - I9
98 +I 9
4I9 + 20
I 99 - 88
253 + 42
37 +I 5
I 35 + 25
The jewelry store has ______ more necklaces than bracelets.
I 22 - 36
9I 82 +73
4. The restaurant made 35 beef burgers, 45 chicken burgers, and I3 fish burgers today. How many burgers did the restaurant make today?
I 00 - 35
57 -2 I
3. A jewelry store has I4I necklaces and 72 bracelets. How many more necklaces does the jewelry store have than bracelets?
The restaurant made ______ burgers.
247 - 58
63 -23
2I0 - I5
22 -I 2
5. Terry needs to sell 400 boxes of cookies. She has sold 82 already. How many more boxes does she need to sell? Terry needs to sell ______ boxes of cookies.
40
41
My Goals Lesson 1 - Understanding Place Value to Hundreds Lesson 2 - Understanding Place Value to Ten Thousands Lesson 3 - Understanding Place Value to Hundred Thousands Lesson 4 - Understanding Place Value to Millions Lesson 5 - Rounding Lesson 6 - Greater Than, Less Than, or Equal To
n This Unit Your child will learn how to read, expand, and identify the place value of numbers up to the millions. They will learn the place values ones, tens, hundreds, thousands, ten thousands, hundred thousands, and millions. Millions
Hundred thousands
Ten thousands
Thousands
I
2
5
8
Hundreds
Tens
Ones
3
5
96
Your child will compare two numbers using greater than, less than, and equal to symbols.
At Home Activities Write different numbers on index cards. Call out a place value and have your child circle that place value a certain color. (e.g. Circle the hundreds place in blue.)
42
Unit 2 Numeration to I ,000,000
Ways to Help Help reinforce reading numbers by pointing out different numbers in your child’s book and having them read the numbers.