Scope and Sequence Unit 1
Unit 2
2
Adding and Subtracting 1- and 2-Digit Numbers (With Regrouping)
Adding and Subtracting 2- and 3-Digit Numbers (With Regrouping)
54
8
Lesson 1
Adding 2-Digit Numbers
56
Unit 3
Lesson 1
Adding to 18
10
Lesson 2
Subtracting 2 Digits From 3 Digits
61
Lesson 2
Subtracting From 18
12
Lesson 3
Adding 3-Digit Numbers
71
Lesson 3
Adding 2-Digit Numbers (No Regrouping)
14
Lesson 4
Subtracting 3-Digit Numbers
75
Lesson 4
Subtracting 2-Digit Numbers (No Regrouping)
16
Lesson 5
Thinking Subtraction for Addition
79
Lesson 5
Adding 2-Digit Numbers (With Regrouping)
18
Lesson 6
Thinking Addition for Subtraction
81
Lesson 6
Subtracting 2-Digit Numbers (With Regrouping)
20
Lesson 7
Addition and Subtraction Practice
83
Lesson 7
Adding Three Numbers
22
Lesson 8
Addition and Subtraction Practice
24
Lesson 9
Problem Solving
26
Unit 4
Adding and Subtracting to 4 Digits (With Regrouping)
90
Lesson 1
Adding 3 or More Numbers (1 and 2 Digits)
92 96
Numeration to 100,000
32
Lesson 2
Adding 3 or More Numbers (3 Digits)
Lesson 1
Understanding Place Value to Hundreds
34
Lesson 3
Adding 4-Digit Numbers
100
Lesson 2
Understanding Place Value to Ten Thousands
38
Lesson 4
Subtracting 4-Digit Numbers
104
Lesson 3
Understanding Place Value to Hundred Thousands
42
Lesson 5
Estimating Addition and Subtraction
108
Lesson 4
Greater Than, Less Than, or Equal To
46
Lesson 5
Rounding
49 3
Unit 5
Unit 6
4
Multiplying up to 2 Digits by 1 Digit
116
Lesson 1
118
Understanding Multiplication
Lesson 2
Multiplying up to 5 x 9
123
Lesson 3
Multiplying up to 9 x 9
126
Lesson 4
Multiplying 2 Digits by 1 Digit
129
Lesson 5
Multiplying 2 Digits by 1 Digit (With Regrouping) 134
Lesson 6
Multiplication Practice
Division Facts up to 81 รท 9
Unit 7
Unit 8
140
146
Lesson 1
Understanding Division
148
Lesson 2
Dividing to 27 รท 3
154
Lesson 3
Dividing to 54 รท 6
156
Unit 9
Fractions
172
Lesson 1
Parts of a Whole
174
Lesson 2
Parts of a Set
177
Lesson 3
Comparing Fractions
180
Measurements
186
Lesson 1
Measuring in Inches
188
Lesson 2
Converting Units of Length (Inches, Feet, and Yards)
192
Lesson 3
Measuring Liquid Volume (Cups, Pints, Quarts, and Gallons)
Lesson 4
Measuring Weight (Ounces and Pounds)
198
Lesson 5
Temperature
200
Lesson 6
Problem Solving
202
195
Metric Measurements
208
Lesson 1
Measuring in Centimeters
210 214
Lesson 4
Dividing to 81 รท 9
160
Lesson 2
Measuring Liquid Volume (Liters and Milliliters)
Lesson 5
Division Practice
165
Lesson 3
Measuring Weight (Milligrams, Grams, and Kilograms)
Lesson 6
Division and Multiplication Practice
167
Lesson 4
Problem Solving
220
Lesson 5
Temperature
221
217
5
Unit 10 Money, Time, and Calendar
Unit 12 Geometry
262
Lesson 1
Money: Using Decimals
228
Lesson 1
Figures
264
Lesson 2
Money: Adding and Subtracting With Decimals
230
Lesson 2
Comparing Figures
267
Lesson 3
Counting Money
232
Lesson 3
Congruent Shapes
268
Lesson 4
Making Change
238
Lesson 4
Symmetrical Shapes
270
Lesson 5
Telling Time
240
Lesson 5
Line Segments
273
Lesson 6
Calendar
246
Unit 11 Graphs and Probability
6
226
Unit 13 Preparing for Algebra
278
250
Lesson 1
Patterns
280
Lesson 1
Picture Graphs
252
Lesson 2
Transferring Patterns
283
Lesson 2
Bar Graphs
254
Lesson 3
Number Patterns
285
Lesson 3
Line Graphs
256
Lesson 4
Geometric Patterns
287
Lesson 4
Probability
258
Lesson 5
Number Sentences
288
Lesson 6
Problem Solving
292
7
Lesson Lesson I - Adding to I8 Lesson 2 - Subtracting From I8 Lesson 3 - Adding 2-Digit Numbers (No Regrouping) Lesson 4 - Subtracting 2-Digit Numbers (No Regrouping) Lesson 5 - Adding 2-Digit Numbers (With Regrouping) Lesson 6 - Subtracting 2-Digit Numbers (With Regrouping)
n This Unit
Your child will learn to add and subtract numbers to 18. Your child will learn to add and subtract twodigit numbers with and without regrouping.
I
38 +34 72 Your child will learn how to add three numbers.
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.
8
Unit 1 Adding and Subtracting I- and 2-Digit Numbers (With Regrouping)
Lesson 7 - Adding Three Numbers Lesson 8 - Addition and Subtraction Practice
Unit I
Adding and Subtracting I- and 2-Digit Numbers )With Regrouping(
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.
Essential Question: How do you add and subtract? 9
I-I Adding to I8
Add.
Introducti on Addition is finding the total, or sum, by combining two or more numbers.
I +7
0 +7
9 +5
5 +9
0 +3
4 +8
8 +2
6 +5
0 +6
6 +I
8 +8
8 +5
5 +6
5 +3
9 +9
6 +9
3 +6
5 +7
8-column Addend
addend sum
3 +8 II
Find the 3-row. Find the 8-column. 3-row The sum is named where the 3-row and the 8-column meet.
0
0
2
2
4
4
I
3
Addend
addend
+ 0 I
5 6 7 8 9
2
3
4
5
6
7
8
9
I
2
3
4
5
6
7
8
9
3
4
5
6
7
8
9 I0 I I
I
2
3
4
5 6 7 8
5 6 7 8
3 5 6 7 8
4 6 7 8
5 7 8
6 8
7
8
9 I0
9 I0 I I I2
9 I0 I I I2 I3
9 I0 I I I2 I3 I4
9 I0 I I I2 I3 I4 I5
9 I0 I I I2 I3 I4 I5 I6
9 I0 I I I 2 I3 I4 I5 I6 I7
9 I0 I I I2 I3 I4 I5 I6 I7 I8
Add.
0 +0
7 +2
3 +3 10
9 +0
4 +3
2 +9
2 +5
7 +9
4 +6
2 +3
5 +2
7 +7
3 +I
8 +3
5 +0
11
I -2 Subtracting From I8
Introducti on
Subtract.
Subtraction is taking one number away from another.
II -2
I5 - 9
I4 - 3
8 -0
I8 -8
9 -8
I6 - 4
I0 -5
I8 -2
I3 - 3
I3 -7
8 -3
II -8
I0 - 6
I4 -8
I4 - I
I5 - 8
II -5
7-column
minuend subtrahend difference
I2 -7 5
-
0
I
2
3
4
5
6
7
8
9
0
0
I
2
3
4
5
6
7
8
9
the 7-column.
2
2
3
4
5
6
7
8
9 I0 I I
The difference is the number at the end of the row.
4
4
Find the I2 in
I
3 5 6 7 8 9
Subtract.
12
I7
I
2
3
4
5 6 7 8
5 6 7 8
3 5 6 7 8
4 6 7 8
5 7 8
6 8
7
8
9 I0
9 I0 I I I2
9 I0 I I 12 I3
9 I0 I I I2 I3 I4
9 I0 I I I2 I3 I4 I5
9 I0 I I I2 I3 I4 I5 I6
9 I0 I I I 2 I3 I4 I5 I6 I7
9 I0 I I I2 I3 I4 I5 I6 I7 I8
6 -0
-2
9 -6
I6 - 4
5 -4
8 -5
I2 - 2
I7 - 0
5 -2
4 -2
7 -2
9 -7
I2 -7
6 -3
I -0
13
I-3
Add.
Adding 2-Digit Numbers (No Regrouping)
First, add the ones. Then, add the tens.
56 +I 2 8
33 +26 59
56 +I 2 68
First, add the ones.
Then, add the tens.
I9 +20
36 +I 3
I4 +I5
22 +I 3
I8 +4 I
45 + I4
30 +I8
40 +30
20 +30
I0 +II
32 +I 6
70 +I6
23 +I5
43 +I2
25 +24
43 +3 I
I5 +2 I
I0 + I3
I8 + I0
33 +I2
36 +33
Add.
33 +32
14
I5 +I 2
64 +I0
52 +36
35 +23
35 +43
I0 +43
42 +53
20 +40
62 +32
I0 + I2
27 +42
I3 +I4
72 +2 I
I2 +44
I3 +20
I8 +2 I
I9 +30
15
I-4 Subtracting 2-Digit Numbers (No Regrouping) First, subtract the ones.
Subtract.
Then, subtract the tens.
32 -2 I I
32 -2I II
42 - 30
65 - 44 16
75 -3I
75 - I5
95 - 75
83 -6I
86 - 45
I2 - I0
30 -I0
44 -II
92 - II
87 - I5
76 - 34
32 -2I
43 - 22
86 - 32
54 - 33
56 - 53
47 - 32
70 - 40
43 - 22
2I -I0
29 - I7
38 -I5
34 -I4
73 -6 I
25 -I0
59 - 37
minuend subtrahend difference
Subtract.
3I - 20
56 - 40
75 - 62
46 -I5
93 - 6I
53 - 4I
90 - 20
60 - 40
17
I-5 Adding 2-Digit Numbers (With Regrouping) Add the ones. Regroup I2 as I0 + 2.
38 +34
8 +4 I2 or I0 + 2
Add.
Add the tens. I
18
37 +I3
57 +38
I9 +I8
38 38 +34 +34 2 72
65 +78
68 +25
37 +75
42 +I 8
34 +72
67 +I9
56
+36
64 +26
24 +66
37 +I7
3I +I9
25 +25
44 +66
59 +62
26 +28
34 +27
56 +24
37 +24
I
Add.
29 + I3
27 +I 3
39 +25
29 +54
37 +24
48 +25
82 + 79
39 +35
69 +23
88 +63
36 +66
87 +25
9I + 49
80 +60
32 + I9
19
I-6 Subtracting 2-Digit Numbers (With Regrouping) Subtract the ones. Regroup 42 as “3 tens and I2 ones.”
42 - 39
Subtract the ones.
3 I2
3 I2
42 - 39
Subtract.
Subtract the tens. 3 I2
42 - 39 3
42 - 39 3
Subtract.
20 - I3
63
20
26 - I7
42 -II
56 - 28
32 - 23
84 -I6
32 - 26
65 - 47
98 - 29
52 - 26
62 - 24
54 -I8
72 -I7
64 - 36
75 - 26
86 - 27
43 - 26
35 - 27
83 - 47
74 - 69
60 - 20
60 - 23
53 - I4
75 - 23
- 46
47 - I9
75 - 26
62 - 58
88 - 26
25 - 7
34 - 26
76 - 38
65 - 36
43 - 24
57 - 29
2I - 8
21
I-7 Adding Three Numbers Add the ones.
33 3 42 2 +36 + 6
Add. Add the tens. I
I
33 33 42 42 5 +36 +36 +6 I III I I or I0 + I
Add.
I2 22 +45
30 20 +40
4 I2 +32
22
20
I0 +40
23 37 +I8
36 I9 + 7
I3 I9 +I8
28 I7 +I4
7 29 +56
26
23 +35
I5 I5 +20
27 7 +34
43 20 + 9
9
+ 8
2 3 +9
33 77 +40
2I 32 +43
35 23 +I9
80 4 + 9
55 I2 + I2
27 I6 + 9
I5 30 + I5
43 27 +I5
33 47 +I2
62 20 + 7
2I I9
+24
20 39 +22
I6 I2 +22
23 I5 + I7
32
53 + I8
90
23
Add or subtract.
I-8 Addition and Subtraction Practice Add or subtract.
29 +79
73 - 45
40 +I5
27 + 6
I6 7 + I3
97
- I8 24
I6 +35 I9 30 +20
78 - 54
72 +43
I3 +27
68 - 29
32 + 7
87 +I 3
7I +33
I8
52 - 34
9I
-73
20 43 + 26
7I + 9
8I + 42
20 +50
23 - I0
36
+I 0
- I8
62 +85
96 - I7
67 -3I
20 2I +24
37 -I 9
57 -28
73 - 67
67 - 34
67 + I2
I8 - 9
86 -I9
83 - 44
25
I-9 Problem Solving
Solve each problem.
Introducti on Problem solving in math is a mathematical exercise explained in words.
Sarah picks 24 flowers. She gives her mom I2. How many flowers does she have left?
Example:
Sarah has _________ flowers left.
Karla has 33 red lollipops. She also has 24 yellow lollipops. How many lollipops does Karla have altogether? Karla has ______ lollipops.
Karla has 33 red lollipops. She also has 24 yellow lollipops. How many lollipops does Karla have altogether?
33 +24 57
Mike and Jim are playing basketball. Mike has 65 points. Jim has 35 points. How many points do they have altogether? _________
Write your own word problem and solve it.
Try it
Tim is reading a book that has 47 pages in it. He has read I5 pages. How many pages does he have left to read?
47 -I 5
Tim has ______ pages left to read.
26
27
Show your work!
Solve each problem.
I. Jake has 46 cards. His friend Stan has 27 cards. How many cards do they have in all? They have ______ cards in all.
2. Mrs. Wilson has 36 students in her class. The class next to hers joins them to watch a play. There are 26 students in the other class. How many students are watching the play altogether? There are ______ students watching the play altogether.
3. The restaurant made 56 burgers on Monday. On Tuesday, they made 43 burgers. How many burgers did they make on both days? The restaurant made ______ burgers on Monday and Tuesday. 28
Solve each problem.
Show your work!
I. There are 60 seats on the bus. Six seats are empty. How many seats are taken? There are ______ seats taken on the bus.
2. There are 76 cars in the parking lot, and 54 of them stayed overnight. How many cars left during the day? During the day, ______ cars left.
3. The farmer picked 98 tomatoes during the week and 74 on the weekend. How many tomatoes did he pick altogether? The farmer picked ______ tomatoes.
29
Check What You Learned Solve each problem. Add.
27 +32
94 +27
I8 +35
46 +43
69 +I6
77 + 4
8 + I3
24 +37
40
+ I2
I5 I3 +20
63
+ I2 I4 36 + 4
Subtract.
60
-I0
77 - 4
80 - 43
65 - 42
78 - 9
49 - 23
35 - I4
53 - I8
52 - 27 30
72
- 25
64 - 8
68 - 23
I. There are 47 cows on the farm. Then 35 cows run away. How many cows are left on the farm?
Show your work!
There are _______ cows left on the farm. 2. There are two apple trees. The first tree has 72 apples and the second has 36 apples. How many apples do the two trees have altogether? The two trees have _______ apples altogether. 3. Ms. Everest made 85 jars of strawberry jam and 36 jars of cherry jam. How many more jars of strawberry jam did she make than cherry jam? Ms. Everest made _______ more jars of strawberry jam than cherry jam. 4. Kyle has 56 pieces of candy. He gave 25 of them away. How many pieces of candy does Kyle have left? Kyle has _______ pieces of candy left. 5. The hat store had 63 hats on Sunday. They get 32 more hats on Monday. How many hats does the store have now? The store has _______ hats now. 31