Download • Addition Word Problems with Missing Addends

LESSON
Name
11
Teacher Note:
page 67
• Review “Missing Numbers” and
“Word Problem Keywords” on
pages 6 and 7 in the Student
Reference Guide.
• Addition Word Problems
with Missing Addends
New Concept
• Addition formulas:
Some
+ Some more
Total
Part
+ Part
Whole
add
• Sum missing
• Addend missing
subtract
Example
8 marbles
+ m marbles
17 marbles
17
− 8
m=9
Lesson Practice
a. Lucille had 4 marigolds.
4 Subtract.
+ n
Lola gave her some more marigolds.
Now Lucille has 12 marigolds.
© 2008 Saxon
How many marigolds did Lola give Lucille?
12 Subtract.
+ n
b. Twelve of the 25 students were girls.
How many boys were in the class?
Saxon Math Intermediate 4
67
Adaptations Lesson 11
Lesson Practice, continued
c. At 7:00 a.m. the air was cool.
n Subtract.
+ 25
By noon the temperature had increased 25 degrees to 68°F.
What was the temperature at 7:00 a.m.?
page 69
Written Practice
10 daylight
1.
6 before lunch
2.
after lunch
darkness
24 in all
in all
3. six hundred forty-two
4. Negative twelve is less than zero.
digits:
Use work area.
–4
−2
–3
–2
–1
0
1
2
3
© 2008 Saxon
5. Use the number line.
4
2
Saxon Math Intermediate 4
68
Adaptations Lesson 11
Written Practice, continued
page 70
6. Use the digits 5, 6, and 7 to make a number that is
even,
greater than 560,
and less than 650.
even
Use work area.
7. Find the pattern.
a.
0
40
20
b.
–10
10
0
a.
b.
8. There is an equal number of books in two stacks. Odd or even?
Act it out.
© 2008 Saxon
There is an
I drew
a
an
number of books.
stacks of books. Each stack had
books. Then I
the number of books in each stack together. The answer was
number.
Use work area.
Saxon Math Intermediate 4
69
Adaptations Lesson 11
page 70
Written Practice, continued
9.
5
b
+ 7
18
5+
=
18 −
=
10.
n
5
+ 3
15
5+
=
15 −
=
n=
b=
11.
7
a
+ 4
12
7+
=
12 −
=
12.
m
2
+ 8
14
2+
=
14 −
=
m=
a=
13.
12
− 3
3
Check:
14.
14
− 7
Check:
+
7
+
12
12
− 8
8
Check:
16.
13
− 6
Check:
+
+
12
17.
74
+ 18
Saxon Math Intermediate 4
6
18.
13
93
+ 39
19.
70
28
+ 45
© 2008 Saxon
15.
14
Adaptations Lesson 11
page 70
Written Practice, continued
20.
28
+ 47
21. Subtract to find the rule.
Use the number line.
…, 12, 9, 6,
,
,
,…
22. Subtract to find the rule.
…, 30, 36, 42,
23.
,
,
,…
24. Find sets of ten.
14
5
+
4
3
5
8
7
6
+ 2
9
5
+
14
14
9
−
−
Use work area.
© 2008 Saxon
25. Commutative Property of Addition
7+
+
=
7+
+
=
8+
+
=
8+
+
=
9+
+
=
9+
+
=
Use work area.
Saxon Math Intermediate 4
71
Adaptations Lesson 11
Written Practice, continued
26. 3 +
page 71
=7
27. How many different odd three-digit
numbers can you write using 5, 0,
and 9?
0 may not be used in the hundreds
place.
=
+
=
+
=
odd
A 4
B 5
C 8
D 9
odd
numbers
28. Look at the tens.
a. 89
94
Look at the hundreds.
Look at the tens.
b. 409
c. 61
177
26
Use work area.
Land Area by County
29.
County
State
smallest to largest
Area (sq mi)
Cass
Iowa
564
Hood River
Oregon
522
Weber
Utah
576
Look at the hundreds.
Look at the tens.
,
, Weber
Use work area.
apples. Then she picked
+
apples does Tara have?
=
My answer is reasonable because I added
and the sum was
more apples. How many
© 2008 Saxon
30. Tara had
apples and
apples
.
Use work area.
Saxon Math Intermediate 4
72
Adaptations Lesson 11
LESSON
Name
12
Teacher Notes:
page 72
• Review “Missing Numbers” on
page 7 in the Student Reference
Guide.
• Missing Numbers
in Subtraction
• Emphasize that the rules described
on this worksheet apply only in
subtraction.
New Concept
• To find missing numbers in subtraction:
Subtract.
If the bottom number is missing
14
− n
6
14
− 6
n=8
Add.
If the top number is missing
b
−5
7
7
+5
b = 12
Lesson Practice
Find each missing number. Check your answers.
a. Bottom missing
14
– n
6
b. Top missing
Subtract.
Check:
6
n
– 5
2
+
Add.
Check:
5
+2
14
© 2008 Saxon
n=
c. Bottom missing
9
–n
2
n=
d. Top missing
Subtract.
Check:
n
–7
5
2
+
Add.
Check:
7
+
9
n=
Saxon Math Intermediate 4
n=
73
Adaptations Lesson 12
Written Practice
1.
9 in park
n in backyard
17 in all
page 74
17
Check:
–
9
n=
2.
35 first week
27 next week
3.
inches with paint
+ 5 inches without paint
12 inches total
5.
/
month
altogether
4.
/
day
year
digits:
© 2008 Saxon
words:
Use work area.
Saxon Math Intermediate 4
74
Adaptations Lesson 12
Written Practice, continued
page 74
6. Write a three-digit number using 9, 4, and 6 that is odd,
and less than 500.
odd
Which digit is in the tens place?
7. Find the pattern.
40
8.
5
n
+ 6
15
60
5+
=
15 –
=
80
9.
a
2
+ 5
15
2+
=
15 –
=
a=
n=
© 2008 Saxon
10.
7
2
+ n
15
7+
=
15 –
=
11.
4+
=
15 –
=
a=
n=
Saxon Math Intermediate 4
4
a
+ 2
15
75
Adaptations Lesson 12
page 75
Written Practice, continued
12. Top missing
Check:
n
– 6
8
13.
Add.
6
+ 8
16
– 8
8
Check:
+
16
n=
14.
14
– 7
7
Check:
15. Bottom missing
+
–
14
12
a
7
Subtract.
Check:
7
+
12
a=
16. Top missing
b
– 6
6
17. Bottom missing
Subtract.
Check:
13
– c
8
6
+
Subtract.
Check:
8
+
13
c=
b=
18.
$48
19.
$37
+ $14
© 2008 Saxon
+ $16
20. Subtract to find the rule.
…, 28, 35, 42,
Saxon Math Intermediate 4
,
,
,…
76
Adaptations Lesson 12
page 75
Written Practice, continued
21. …, 18, 21, 24,
,
,
,…
22.
23. –3 > –5
words:
less
greater
–7 –6 –5 –4 –3 –2 –1
0
1
2
3
4
5
6
7
The comparison is correct because on the number line –3 is farther
r
than –5, so it is
g
than –5.
24. less
Use work area.
greater
–4
–3
least
–2
–1
0
1
2
3
4
greatest
© 2008 Saxon
Use work area.
25. Find sets of ten.
7+3+8+5+4+3+2=
Saxon Math Intermediate 4
77
Adaptations Lesson 12
page 75
Written Practice, continued
26. “Five subtracted from n” can be written
A 5−n
B n−5
C 5+n
D n+5
.
27. How many three-digit numbers can you write using 4, 2, and 0?
0 may not be used in the hundreds place.
2
4
numbers
28. a. Look at the hundreds.
310
295
b. Look at the tens.
c. Look at the hundreds.
56
104
63
89
Use work area.
29. Greatest to least
Typical Weight of Animals
Look at the tens.
Animal
Look at the ones.
,
,
Otter
Weight (pounds)
Fox
14
Badger
17
Otter
13
Use work area.
30. Erik and Jamaul were playing basketball. Erik made
+
. How many baskets did they make in all?
© 2008 Saxon
Jamaul made
baskets and
=
My answer is reasonable because I added
baskets and the sum was
baskets and
.
Use work area.
Saxon Math Intermediate 4
78
Adaptations Lesson 12
LESSON
Name
13
page 77
• Adding Three-Digit
Numbers
New Concept
• To add three-digit numbers, follow these steps:
1. Add ones.
2. Add tens.
3. Add hundreds.
Show regrouping above.
11
$675
à$175
$850
Activity
page 79
Adding Money
Use your textbook to complete this activity.
Lesson Practice
Add.
a.
$579
+ $186
$
$458
© 2008 Saxon
d.
+
b.
c.
408
+ 243
$498
+ $089
$
569
e.
+
$
Saxon Math Intermediate 4
79
Adaptations Lesson 13
page 79
Written Practice
1.
77
2.
outside
12 students
5 no homework
gym
homework
altogether
3. 913
words:
Use work area.
4. seven hundred forty-three
5. Seventy-five is greater than negative
eighty.
digits:
Use work area.
6. a. Look at the hundreds.
b. −4
314
3
© 2008 Saxon
413
Use the number line.
a.
b.
Saxon Math Intermediate 4
80
Adaptations Lesson 13
page 80
Written Practice, continued
7.
16
7
9
+
+
−
−
Use work area.
8. Find the pattern.
a.
70
80
90
b.
−10
0
10
a.
© 2008 Saxon
b.
9.
$475
+ $332
12.
576
+ 228
10.
11.
$714
+ $226
13.
8
5
+k
17
743
+ 187
8+
=
17 −
=
k=
Saxon Math Intermediate 4
81
Adaptations Lesson 13
Written Practice, continued
14.
4
n
+6
15
4+
=
15 −
=
page 80
15.
9
a
+6
17
9+
=
17 −
=
a=
n=
16.
n
3
+7
16
3+
=
16 −
=
17. Bottom missing
8
−n
2
Subtract.
2
Check:
+
8
n=
n=
17
−8
8
Check:
19.
13
−7
7
Check:
+
+
17
20. Top missing
n
−8
7
13
21. Bottom missing
Add.
14
−n
6
8
Check:
+
Subtract.
Check:
6
+
14
n=
n=
Saxon Math Intermediate 4
82
Adaptations Lesson 13
© 2008 Saxon
18.
page 80
Written Practice, continued
22. Bottom missing
16
− a
9
23. Top missing
Subtract.
9
Check:
n
−9
7
+
Add.
9
Check:
+
16
n=
a=
24.
$49
+ $76
25. a. …, 28, 35, 42,
,
b. …, 15, 10, 5,
,
,
,…
,
,…
Use the number line.
a.
b.
26. What number shows the sum if these sets are put together?
© 2008 Saxon
and
A 26
Saxon Math Intermediate 4
B 32
C 58
83
D 13
Adaptations Lesson 13
page 81
Written Practice, continued
28. youngest to oldest
27. What temperature is 5 degrees less
than 1 degree?
Look at the tens.
Look at the ones.
Start at 1 and count back 5.
Jeremy and his Siblings
5
4
3
2
1
0
Ľ1
Ľ2
Ľ3
Ľ4
Ľ5
Ľ6
Ľ7
Ľ8
Ľ9
Ľ10
Name
Age (in years)
Jeremy
10
Jack
8
Jackie
13
Jack,
,
F
Use work area.
29. Will the sum of three even numbers be odd or even?
+
even
+
even
=
even
+
odd or even?
The sum of three even numbers will be
even
+
even
=
even
.
odd or even?
Use work area.
30. How many three-digit numbers can you make using 0, 6, and 7?
Write even or odd.
0
even
© 2008 Saxon
6
numbers
Saxon Math Intermediate 4
84
Adaptations Lesson 13
LESSON
Name
14
Teacher Notes:
page 82
• Review “Missing Numbers” on
page 7 in the Student Reference
Guide.
• Subtracting Two-Digit and
Three-Digit Numbers
• Missing Two-Digit
Addends
• Use money manipulatives to
demonstrate.
New Concept
• To subtract two-digit and three-digit numbers, follow these
steps:
• Subtracting
Two-Digit and
Three-Digit
Numbers
1. Subtract ones.
2. Subtract tens.
3. Subtract hundreds.
365
– 123
242
• Missing
Two-Digit
Addends
• To find a missing addend, always subtract.
56
+ a
98
m
+ 17
49
98
− 56
a = 42
49
− 17
m = 32
Lesson Practice
Use money manipulatives to solve.
$485
© 2008 Saxon
a.
Check:
−
$56
b.
+
97
c.
+
−
$
Check:
$
Check:
−
Saxon Math Intermediate 4
d.
54
−
+
85
Check:
+
Adaptations Lesson 14
Lesson Practice, continued
e.
+
24
q
65
Check:
65
24
f.
q=
67
31
Check:
m=
36
g.
m
+ 31
67
Check:
99
h.
99
Check:
45
w=
y=
Written Practice
1.
page 85
4 Monday
g Tuesday
2.
42 some
some more
in all
total
g=
4.
9
7
+
2
+
−
−
© 2008 Saxon
3. Use the digits 1, 2, and 3.
Less than 200
Even
Use work area.
Saxon Math Intermediate 4
86
Adaptations Lesson 14
page 86
Written Practice, continued
5.
824
6. a. Look at the hundreds.
704
−
407
b. Use the number line.
−3
−5
a.
b.
8. Find the pattern.
7. Common year
See page 2 in the Student Reference Guide.
© 2008 Saxon
1st month
2nd month
total
30
50
9.
$346
+ $298
10.
499
+ 275
11.
12.
$506
+ $210
13.
$438
– $206
14. Bottom missing
$421
+ $389
Subtract.
–
17
a
9
a=
Saxon Math Intermediate 4
87
Adaptations Lesson 14
page 86
Written Practice, continued
7
+b
14
Subtract.
5
− c
2
−
d=
19.
Subtract.
15
k
9
3
n
+2
13
3+
=
13 −
=
n=
k=
20.
23.
476
− 252
+
21.
75
t
87
22.
47
− 16
24.
28
− 13
24
+ e
67
e=
t=
Saxon Math Intermediate 4
8
+d
15
c=
b=
18. Bottom missing
17.
16. Bottom missing
© 2008 Saxon
15.
88
Adaptations Lesson 14
page 86
Written Practice, continued
25. a. …, 81, 72, 63,
,
b. …, 12, 8, 4,
,
,
,…
,
,…
Use the number line.
a.
b.
26. If
− 7 = 2, then which of these is not true?
2
7
A 7−
=2
B
−2=7
C 2+7=
D
=7+2
27. Will the sum of four even numbers be odd or even?
+
even
+
even
+
even
+
even
+
even
=
even
+
even
odd or even?
=
even
odd or even?
© 2008 Saxon
The sum of four even numbers will be
I added
f
even numbers I got an
because every time
number.
Use work area.
Saxon Math Intermediate 4
89
Adaptations Lesson 14
page 87
Written Practice, continued
28. 36 black keys, 52 white keys
How many keys altogether?
+
More black or white keys?
black
white
altogether
29. Will the sum of three odd numbers be odd or even?
+
odd
+
odd
+
odd
=
odd
+
odd
odd or even?
=
odd
odd or even?
The sum of three odd numbers will be
I added
t
odd numbers I got an
because every time
number.
Use work area.
30. How many three-digit numbers can you make using 9, 1, and 0?
Write even or odd.
0
even
© 2008 Saxon
1
numbers
Saxon Math Intermediate 4
90
Adaptations Lesson 14
LESSON
Name
15
page 88
• Subtracting Two-Digit
Numbers with Regrouping
New Concept
• Trading 1 ten for 10 ones is an example of regrouping.
4
5 16
−2 9
2 7
Activity
page 91
Subtracting Money
Use your textbook to complete this activity.
Lesson Practice
Use money manipulatives or draw pictures to show each subtraction.
a.
$53
− $29
$
b.
63
e.
c.
40
f.
$42
− $24
$
72
g.
−
−
d.
$60
− $27
$
24
h.
−
© 2008 Saxon
−
$56
− $27
$
Saxon Math Intermediate 4
91
Adaptations Lesson 15
Written Practice
1.
618
page 91
one tree
16
n
2.
first day
second day
another tree
total leaves
in all
n=
4. 605
3. less than 400
words:
even
Use work area.
5. smallest
6. a. Look at the tens.
75
b. 5 + 7
57
4+8
© 2008 Saxon
even
a.
b.
Saxon Math Intermediate 4
92
Adaptations Lesson 15
page 92
Written Practice, continued
375
7.
−
8. Find the pattern.
20
40
30
9.
$426
+ $298
10.
$278
+ $456
11.
12.
409
+ 198
13.
d
+7
12
14. Bottom missing
© 2008 Saxon
38
+ b
59
b=
Saxon Math Intermediate 4
Subtract.
18
− a
9
a=
d=
15.
721
+ 189
16. Top missing
c
−4
1
Add.
17.
$456
− $120
c=
93
Adaptations Lesson 15
page 92
Written Practice, continued
18.
$54
− $27
19.
20.
46
− 28
22.
21. Last 2 months
35
− 16
11
See page 3 in the Student Reference Guide.
5
6
11th month
+
12th month
+
−
−
total
Use work area.
23. 3 + 6 + 7 + 5 + 4 + 8 =
24.
,
,
, …
© 2008 Saxon
…, 72, 63, 54,
25.
…, −7, −14, −21,
Saxon Math Intermediate 4
,
,
,…
94
Adaptations Lesson 15
Written Practice, continued
page 93
=6
26.
+
= 10
+
= 10
= ____
A 3
B 4
C 5
D 6
27. Will the sum of an odd number and an even number be odd or even?
+
odd
=
even
+
odd
odd or even?
=
even
odd or even?
The sum of an odd number and an even number will be
every time I added an
number and an
_________
because
number
__________ number.
© 2008 Saxon
I got an
_________
__________
Use work area.
Saxon Math Intermediate 4
95
Adaptations Lesson 15
Written Practice, continued
page 93
28. Least to greatest
Look at the hundreds.
Look at the tens.
Enrollment
School
Number of Students
Washington
370
Lincoln
312
Roosevelt
402
Lincoln, __________, __________
Use work area.
29. Chimpanzee – about 150 pounds
Gorilla – about 450 pounds
Look at the hundreds.
Which animal weighs more? _______________
About how much more does it weigh?
450
–
30. How many different three-digit numbers can you make using 4, 0, and 8?
© 2008 Saxon
4
8
numbers
Saxon Math Intermediate 4
96
Adaptations Lesson 15
LESSON
Name
16
Teacher Notes:
page 94
• Review “Missing Numbers” on
page 7 in the Student Reference
Guide.
• Expanded Form
• More on Missing Numbers
in Subtraction
• For additional practice, students
may complete Targeted
Practice 16.
New Concept
• Expanded Form
• 275 in expanded form:
200 + 70 + 5
• 407 in expanded form:
400 + 7
• Missing
Numbers in
Subtraction
• Missing numbers in subtraction:
top missing
Add.
bottom missing
Subtract.
Lesson Practice
Write each number in expanded form:
a. 86
b. 325
+
© 2008 Saxon
d.
+
e.
36
− p
21
p=
c. 507
+
f.
47
− q
24
q=
g. w − 32 = 43
w=
Saxon Math Intermediate 4
+
m
− 22
16
m =
h. 43 − x = 32
x=
97
Adaptations Lesson 16
page 96
Written Practice
23 pasture
1.
375 standing
2.
sitting
corral
89 in all
altogether
3.
4. 782
expanded form
55
22
33
+
+
+
–
+
–
Use work area.
5. smallest
6. a.
918
819
b.
−7
−5
even
Use the number line.
Use work area.
Saxon Math Intermediate 4
7
7
7
7
7
7
98
© 2008 Saxon
7. How many days are in six weeks?
Adaptations Lesson 16
page 97
Written Practice, continued
8. Find the pattern.
300
500
400
9.
$576
+ $128
10.
$243
+ $578
11.
186
+ 285
12.
329
+ 186
13.
d
+ 12
17
14. bottom missing
© 2008 Saxon
–
a=
d=
Saxon Math Intermediate 4
17
a
9
99
Adaptations Lesson 16
Written Practice, continued
16. top missing
8
+b
14
c
–7
2
c=
b=
17.
25
– 19
18.
42
– 28
19.
46
– 18
20.
42
– 16
22. top missing
21. bottom missing
68
– d
34
b
– 34
15
b=
d=
Saxon Math Intermediate 4
© 2008 Saxon
15.
page 97
100
Adaptations Lesson 16
page 97
Written Practice, continued
23. bottom missing
24. top missing
m
– 46
32
62
– h
21
m=
h=
25. a. …, 16, 20, 24,
b. …, 16, 12, 8,
,
,
,
,
,…
,…
Use the number line.
a.
b.
26. If n − 3 = 6, then which of these
number sentences is not true?
27. greatest to least
Elevations of Cities
n
6
3
A 6+3=n
B 3+6=n
C 6−3=n
D n−6=3
City
State
Elevation
(in feet above sea level)
Augusta
ME
45
Troy
NY
35
Hilo
HI
38
Look at the tens.
© 2008 Saxon
Look at the ones.
,
, Troy
greatest
Use work area.
Saxon Math Intermediate 4
101
Adaptations Lesson 16
Written Practice, continued
page 98
28. Mark 23, 26, and 30.
20
35
Use work area.
29. Malika’s age + Elena’s age =
odd
+
=
Elena’s age is
even
because when I added an odd number
plus an
number, I got an even number.
Use work area.
30. 33 + m = 51
Jalissa had
star stickers. Then she bought some
apple stickers. Now she has
stickers in all. How many apple
stickers did she buy?
33
+ m
51
My answer is reasonable because I added
apple stickers and the sum was
star stickers and
.
Use work area.
Saxon Math Intermediate 4
102
Adaptations Lesson 16
© 2008 Saxon
bottom missing
LESSON
Name
17
Teacher Notes:
page 99
• Review Hint #1 “Column Addition
(Sets of Ten).”
• For additional practice, students
may complete Targeted
Practice 17.
• Adding Columns of
Numbers with Regrouping
New Concept
• Regroup from the ones to the tens column.
Regroup.
Write the 2.
Add ones.
Carry the 3.
Add tens.
8 + 6 + 9 + 9 = 32
28
26
29
+ 29
3
3
28
26
29
+ 29
2
28
26
29
+ 29
112
Lesson Practice
47
29
46
+ 95
b.
28
47
+ 65
d.
438
76
+ 5
e.
15
24
11
25
+ 36
c.
38
22
31
+ 46
© 2008 Saxon
a.
Saxon Math Intermediate 4
103
Adaptations Lesson 17
Written Practice
1.
page 101
24 children
d adults
407 one side
2.
other side
in all
altogether
d=
4. 813
expanded form:
3. less than 300
+
even
+
words:
digit in tens place
Use work area.
5. smallest
Use work area.
6. Find the pattern.
0
50
© 2008 Saxon
–50
odd
Saxon Math Intermediate 4
104
Adaptations Lesson 17
Written Practice, continued
7.
294
312
+ 5
9.
$378
80$496
page 102
8.
$189
+ $298
10.
109
+ 486
12. bottom missing
11. Find sets of ten.
14
− a
7
14
28
35
16
+ 227
a=
© 2008 Saxon
13.
14. top missing
8
+ b
14
c
− 13
5
c=
b=
Saxon Math Intermediate 4
105
Adaptations Lesson 17
Written Practice, continued
15. bottom missing
page 102
16. top missing
e
11
−d
9
−5
8
e=
d=
17.
38
− 29
19.
34
+
18.
57
− 38
20. bottom missing
b
48
86
−
c
25
c=
b=
21. top missing
d
y
− 46
− 15
12
24
y=
d=
Saxon Math Intermediate 4
© 2008 Saxon
22. top missing
106
Adaptations Lesson 17
page 102
Written Practice, continued
23.
,
..., 48, 44, 40,
,
, ...
24.
...,12, 15, 18,
25.
,
,
, ...
15
6
9
+
+
–
–
Use work area.
+
26.
= 10
Sets of 10
9 + 1 = 10
–
=2
8 + 2 = 10
7 + 3 = 10
A 2 and 8
B 3 and 7
6 + 4 = 10
C 6 and 4
D 2 and 10
5 + 5 = 10
© 2008 Saxon
27. lowest to highest
Resting Heart Rate
Name
Look at the tens.
Look at the ones
Simon,
,
,
,
Beats per Minute
Miguel
72
Victoria
68
Simon
64
Megan
76
Use work area.
Saxon Math Intermediate 4
107
Adaptations Lesson 17
page 103
Written Practice, continued
28. Show 13, 10, 9.
5
20
Use work area.
29. Darrius’s age + Keb’s age = even
even
+
Keb’s age is
plus an
= even
because when I added an even number
I got an even number.
Use work area.
30. Kobe has some crayons. Danika has
have
crayons. Altogether they
crayons. How many crayons does Kobe have?
n
+ 10
25
top missing
crayons and the sum was
crayons and
© 2008 Saxon
My answer is reasonable because I added
.
Use work area.
Saxon Math Intermediate 4
108
Adaptations Lesson 17
LESSON
Name
18
Teacher Notes:
page 104
• Introduce Hint #9 “Abbreviations
and Symbols.”
• Refer students to “Temperature” on
page 2 in the Student Reference
Guide.
• Temperature
• Display reference chart “Fahrenheit
and Celsius Temperature Scales.”
• Review Hint #4 “Finding Patterns in
Sequences.”
New Concept
• Thermometers measure temperature in degrees Fahrenheit
or degrees Celsius.
25°F = 25 degrees Fahrenheit
25°C = 25 degrees Celsius
Example
7:00 a.m.
3:00 p.m.
7:00 a.m.
54°F
68°F
80
80
3:00 p.m.
70
70
How much warmer at 3:00 p.m.?
60
60
bottom missing
50
50
40
40
30
30
F
F
54°F
subtract
68°F
– 54°F
+
14°F Warmer
68°F
Example
30
© 2008 Saxon
28
26
The temperature is between 26°F and 28°F.
24
What number is between 26 and 28?
22
The thermometer shows 27°F.
20
F
Saxon Math Intermediate 4
109
Adaptations Lesson 18
New Concept, continued
Activity
page 106
Measuring Temperature
Use your textbook to complete this activity.
Lesson Practice
What temperature is shown on each of these thermometers?
a.
b.
30
100
20
90
10
80
0
F
C
Count by 2s.
Count by 2s.
c.
d. Difference between the two
50
20
40
10
30
0
20
–10
10
Saxon Math Intermediate 4
0
10
20
0
–20
F
temperatures is
© 2008 Saxon
30
F
110
Adaptations Lesson 18
page 107
Written Practice
1. 21 seconds
r
58 seconds
to fence
back
to fence and back
boys
2.
girls
children
3.
4. The tens digit is 4.
17
8
+
9
The ones digit is 9.
+
−
−
The number is between 200 and 300.
Use work area.
Use work area.
5. Subtract to find the rule.
4, 8, 12, 16,
The pattern is
,
,
a
,
,…
.
© 2008 Saxon
6. Find the pattern.
Try 10s.
Try 25s.
400
Saxon Math Intermediate 4
500
111
Adaptations Lesson 18
page 108
Written Practice, continued
7.
$392
+ $278
8.
10.
389
+ 398
11.
$439
+ $339
13
25
46
25
+ 29
9.
774
+ 174
12. bottom missing
–
18
a
12
a=
8
+b
16
14. top missing
c
–5
3
b=
16.
82
– 58
15.
62
– 48
c=
17.
18. bottom missing
28
36
57
+ 47
35
– y
14
© 2008 Saxon
13.
y=
Saxon Math Intermediate 4
112
Adaptations Lesson 18
page 108
Written Practice, continued
19.
75
–
l
42
c
– 47
31
c=
l=
p=
22.
21. top missing
20. bottom missing
45
+ p
55
e
+ 15
37
23. 498
24. a. Look at the hundreds.
Look at the tens.
expanded form
+
423
+
b. 3
432
–3
Use the number line.
e=
Use work area.
Use work area.
25. Find the pattern.
a. Highest Fahrenheit temperature:
b. Lowest Celsius temperature:
© 2008 Saxon
90
10
80
0
70
–10
F
Saxon Math Intermediate 4
C
113
Adaptations Lesson 18
page 109
Written Practice, continued
26. This is an odd number.
It is greater than 750.
A 846
B 864
C 903
D 309
27. Greatest to least
Look at the hundreds.
Look at the tens.
Look at the ones.
,
,
,
greatest
Use work area.
28. Lexington, Kentucky
46 inches
Huron, South Dakota
inches
25 fewer
29. subtraction number sentence
–
=
Lexington
–
fewer
Huron
Use work area.
© 2008 Saxon
30. Write the odd numbers greater than 1, but less than 20.
Use work area.
Saxon Math Intermediate 4
114
Adaptations Lesson 18
LESSON
Name
19
Teacher Notes:
page 110
• Introduce Hint #10 “Reading
Clocks.”
• Introduce Hint #11 “Elapsed Time.”
• Elapsed-Time Problems
New Concept
55
• The short hand tells the hour.
50
• The long hand tells the minutes.
11
10
3
Quarter of an hour
15 minutes
15
4
7
40
30 minutes
10
2
8
60 minutes
Half an hour
12 1
9
45
One hour
5
35
6
5
30
20
25
Example
Start
11
10
Math Language
• a.m. = the 12
hours before
noon (morning)
© 2008 Saxon
12 1
11
10
2
9
3
7
6
12 1
2
9
4
8
• p.m. = the 12
hours after
noon (afternoon,
evening, night)
• Elapsed time
= difference
between two
times
Finish
3
4
8
5
7
6
5
To find elapsed time from 8:00 a.m. to 9:45 a.m.:
Start at 8:00 a.m. End at 9:45 a.m.
1. Count forward hours.
8:00
9:00 = 1 hour
2. Count forward
9:00
9:45 = 45 minutes
3. Add the times together.
1 hour + 45 minutes =
1 hour and 45 minutes
Activity
page 113
Finding Elapsed Time
Use your textbook to complete this activity.
Saxon Math Intermediate 4
115
Adaptations Lesson 19
Lesson Practice
It is morning. What time is shown by each clock?
a.
b.
c.
12 1
11
10
2
9
12 1
11
10
2
3
9
4
8
7
6
11
10
3
7
:
6
2
9
4
8
5
12 1
3
4
8
5
7
:
6
5
:
d. Use digital form to show what time it is at
ten minutes to nine in the evening.
11
10
:
12 1
2
9
3
4
8
7
6
5
e. How many hours equal a whole day?
f. How many minutes equal an hour?
g. How many seconds equal a minute?
Start
11
10
12 1
2
9
3
4
8
7
6
Start time:
Finish
5
11
10
12 1
Finish time:
2
9
3
4
8
7
6
3:10 p.m. =
3:10
3:20 =
hours
5
hours and
Use your student clock.
Saxon Math Intermediate 4
8:10
116
minutes
minutes
Adaptations Lesson 19
© 2008 Saxon
h.
page 114
Written Practice
51 first day
m second day
1.
27 children
2.
boys
in all
girls
Use work area.
3.
4. 905
9
a
Use work area.
b
a
+b
9
expanded form:
+
–
–
words:
Use work area.
Use work area.
5. One hundred twenty is greater than one hundred twelve.
6. Start time:
p.m. End time:
p.m.
Use your student clock.
Count forward minutes.
© 2008 Saxon
=
Start
minutes
11
10
End
12 1
2
9
start time
end time
3
4
8
7
6
5
11
10
12 1
2
9
3
4
8
7
6
5
Use work area.
Saxon Math Intermediate 4
117
Adaptations Lesson 19
page 114
Written Practice, continued
7. See page 2 in the Student
Reference Guide.
$187
+ $698
$468
+ $293
9.
11. bottom missing
12.
14
– a
7
8
+b
16
b=
a=
14. bottom missing
13. top missing
c
–8
7
–
14
d
9
d=
c=
15.
74
– 58
16.
17.
23
– 18
18.
Saxon Math Intermediate 4
468
+ 185
118
$44
– $28
© 2008 Saxon
10.
8.
$62
– $43
Adaptations Lesson 19
Written Practice, continued
page 115
20. bottom missing
19. Find sets of 10.
25
28
46
+ 88
45
– p
21
p=
21.
22. top missing
13
+ b
37
f
– 45
32
f=
b=
23. 4 quarters = $1.00
quarters = $2.00
quarters = $3.00
quarters = $4.00
Use work area.
24.
25. a. Subtract to find the pattern.
…, 8, 16, 24,
,
,
Number sentence
,…
+
=
The pattern is
a
.
b. Use the number line.
© 2008 Saxon
…, 8, 6, 4,
,
,
,…
The pattern is
Use work area.
Saxon Math Intermediate 4
119
.
s
Use work area.
Adaptations Lesson 19
page 115
Written Practice, continued
26. If 9 −
= 4, then which of these is
not true?
27. Find the pattern.
10
9
4
0
A 9−4=
B
C 4+
D
=9
−4=9
–10
+4=9
F
Use work area.
28. 709
expanded form:
+
29. e, i, o
e
i
o
e
o
o
i
arrangements
Use work area.
30. least to greatest
Career Goals Scored
Player
Look at the tens.
,
,
Number of Goals
Phil Esposito
717
Wayne Gretzky
894
Marcel Dionne
731
© 2008 Saxon
Look at the hundreds.
least
Use work area.
Saxon Math Intermediate 4
120
Adaptations Lesson 19
LESSON
Name
20
Teacher Notes:
page 116
• Introduce Hint #12 “Estimating or
Rounding.”
• Refer students to “Estimate” on
page 8 in the Student Reference
Guide.
• Rounding
New Concept
• To round a number to the nearest ten:
1. Underline the tens place.
2. Circle the digit to its right.
3. Ask: Is the circled number 5 or more? (5, 6, 7, 8, 9)
Yes
Add 1 to the underlined number.
No
The underlined number stays the same.
4. Replace the circled number with zero.
Example
64
60
61
62
67
60
63
64
65
66
67
70
68
69
70
• To round money to the nearest dollar:
1. Circle the cents.
2. Is it 50c/ or more?
Yes
Add one to the dollar amount.
No
Keep the dollar amount the same.
© 2008 Saxon
3. Always drop the cents and the decimal.
Example
Saxon Math Intermediate 4
$6. 78
$7
$6. 48
$6
121
Adaptations Lesson 20
New Concept, continued
• To round money to the nearest 25 cents:
1. Think about quarters.
\
\
\
\
2. Is the amount closest to 0c, 25c, 50c, or 75c?
Example
Round $3.77 to the nearest 25 cents.
$3.77
$3.50
$3.75
$4.00
$3.77 is closest to $3.75.
$3.77 rounded to the nearest 25 cents is $3.75.
Lesson Practice
Round each number to the nearest ten.
a. 7 8
b. 4 3
c. 6 1
d. 4 5
Round each amount of money to the nearest dollar.
e. $14. 29
f. $8. 95
g. $21. 45
h. $29. 89
Round each amount of money to the nearest 25 cents:
$12.29
k. $5.45
Saxon Math Intermediate 4
j. $6.95
© 2008 Saxon
i.
l. $11.81
122
Adaptations Lesson 20
Written Practice
1.
page 119
n first batch
2.
476 Friday
second batch
72 in all
Saturday
altogether
3. The ones digit is 5.
The tens digit is 6.
The number is between 600 and 700.
4. 509
expanded form:
words:
Use work area.
5. Negative twenty is less than ten.
6. See
page 120.
Find the pattern.
a. Fahrenheit
© 2008 Saxon
b. Celsius
a.
Use work area.
Saxon Math Intermediate 4
123
b.
Adaptations Lesson 20
page 120
Written Practice, continued
7. How long is practice?
Start time:
11
10
p.m.
12 1
2
9
Use your student clock.
3
4
8
7
6
5
5:40 p.m. =
Count forward hours.
hours
start time
5:40 p.m. =
Count forward minutes.
hours +
minutes
=
minutes
hours and
minutes
Use work area.
8. Round to nearest ten:
a. 4 7
I rounded 47 to
because it is closer to
than 40.
because it is closer to
than 80.
b. 7 4
I rounded 74 to
9.
$476
+ $285
Saxon Math Intermediate 4
10.
$185
+ $499
11.
124
568
+ 397
12.
478
+ 196
Adaptations Lesson 20
© 2008 Saxon
Use work area.
Written Practice, continued
13. bottom missing
14. bottom missing
a=
23
– 15
15. bottom missing
b=
18.
16.
13
– c
6
14
– b
14
17
– a
9
17.
page 120
$35
– $28
c=
63
– 36
19.
74
– 59
20.
m
+ 22
45
m=
21. top missing
22. bottom missing
k
– 15
32
k=
23.
47
– k
34
28
36
44
+ 58
24.
49
28
32
+ 55
k=
25. Round to nearest dollar:
a.
a. $25. 67
b. $14. 42
b.
© 2008 Saxon
26. Which number sentence describes this model?
à
A 307 + 703 = 1010
B 37 + 73 = 100
C 37 + 73 = 110
D 37 + 73 = 1010
Saxon Math Intermediate 4
125
Adaptations Lesson 20
page 121
Written Practice, continued
28. Round to nearest 25 cents:
27. b, r, z
b
r
b
z
a. $7.28
z
$7.28
r
$7.25
$7.50
b. $4.48
z
$4.48
$4.25
$4.50
arrangements
Use work area.
29. greatest to least
Islands of the World
Name
Location
Area (sq mi)
Micronesia
Pacific Ocean
271
Isle of Youth
Caribbean Sea
926
Isle of Man
Atlantic Ocean
227
Reunion
Indian Ocean
970
Look at the hundreds.
Look at the tens
,
, Isle of Man
greatest
Use work area.
30. There were
bees in the hive.
bees are there in all?
+
Saxon Math Intermediate 4
= 18
more bees came. How many
Use work area.
126
Adaptations Lesson 20
© 2008 Saxon
,
I NVE S TIGATION
2
Name
Teacher Notes:
• Introduce Hint #13 “Measuring
Centimeters.”
page 122
• Refer students to “Equivalence
Table for Units” on page 1,
“Length” on page 2, “Perimeter,
Area, Volume” on page 17, and
“Length and Width” on page 14 in
the Student Reference Guide.
Focus on
• Units of Length and
Perimeter
• Length in the U.S. Customary System of measurement
U.S. Customary Units of Length
Abbreviations
Equivalents
inch. . . . in.
12 in. â 1 ft
foot. . . . ft
3 ft â 1 yd
yard. . . . yd
36 in. â 1 yd
mile. . . . mi
5280 ft â 1 mi
Conversions
feet
feet
yards × 3 = feet
inches
yards × 36 = inches
feet
miles × 5280 = feet
yards
yards
feet × 12 = inches
inches
miles
1. About how many yards in 5 big steps?
5 big steps =
yards
© 2008 Saxon
How many feet long? Length =
feet
yards × 3 = feet
2. How many inches is four feet?
inches
feet × 12 = inches
3. How many feet is 2 miles?
miles × 5280 = feet
Saxon Math Intermediate 4
127
5280
×
2
=
feet
Adaptations Investigation 2
2
INVE STIGATION
continued
• The Metric System of measurement includes:
millimeters
centimeters
meters
kilometers
Use a yardstick and a meterstick to complete the following.
4. Compare a yardstick and a meterstick.
Which is longer?
5. Howie ran 100 yards. Jonah ran 100 meters.
Who ran farther?
• 1 BIG step = about 1 meter
6. Take BIG one-meter steps along the length of the classroom.
The length of the classroom is about
meters.
• 1 meter = 100 centimeters
7. How many centimeters equal one meter?
8. Compare an inch ruler and a centimeter ruler.
Which is longer, an inch or a centimeter?
long?
10. Use an inch ruler to measure the length of a sheet of paper.
About how many inches long is it?
Saxon Math Intermediate 4
128
Adaptations Investigation 2
© 2008 Saxon
9. A ruler that is one foot long is about how many centimeters
2
INVE STIGATION
continued
11. Use a centimeter ruler to measure the length of the same sheet
of paper.
About how many centimeters long is it?
12. Use inch and centimeter rulers to measure this picture of a pencil.
The pencil is about:
a.
inches long.
b.
centimeters long.
13. Use your rulers to measure a dollar bill.
A dollar bill is about:
a.
inches long.
b.
centimeters long.
• Length in the Metric System of measurement
Metric Units of Length
Abbreviations
Equivalents
millimeter ...... mm
10 mm â 1 cm
centimeter .... cm
1000 mm â 1 m
meter ............ m
100 cm â 1 m
kilometer....... km
1000 m â 1 km
© 2008 Saxon
Conversions
centimeters
cm × 10 = mm
meters
millimeters
m × 1000 = mm
meters
centimeters
m × 100 = cm
kilometers
Saxon Math Intermediate 4
millimeters
km × 1000 = m
meters
129
Adaptations Investigation 2
2
INVE STIGATION
continued
14. About how many BIG steps to walk a kilometer?
1 big step = about 1 meter
1000 meters = 1 kilometer
big steps
15. Which is longer?
1 mile = about 1609 meters
1 kilometer = 1000 meters
Look at the thousands.
Look at the hundreds.
meters is more than
so 1
m
is longer than 1
meters,
k
.
16. How many millimeters equal one meter?
17. The key is about
a.
inches long.
b.
centimeters long.
c.
millimeters long.
• The length of a rectangle is the longer side.
© 2008 Saxon
• The width of a rectangle is the shorter side.
Length and Width
Length
Length
Width
Saxon Math Intermediate 4
Width
130
Adaptations Investigation 2
INVE STIGATION
2
continued
18. The rectangle at right is
Length
a.
centimeters long.
b.
centimeters wide.
Width
19. If an ant started at one corner of the rectangle in problem 18
and crawled along all four sides back to the starting point, how
many centimeters would it crawl?
Perimeter
Add all sides.
• Perimeter is the distance around a shape.
• To find the perimeter, add all sides.
Perimeter of a rectangle = length + width + length + width
l
w
=
P
l
+
w +
l
+
w
w
l
• We can also write the formula like this: P = 2l + 2w
20. Keisha ran the perimeter of the block shown below.
How far did Keisha run?
80 yards
© 2008 Saxon
40 yards
40 yards
Perimeter
Add all sides.
80 yards
Saxon Math Intermediate 4
131
Adaptations Investigation 2
INVE STIGATION
2
continued
21. What is the perimeter of this square?
Perimeter
Add all sides.
cm 1
2
3
22. What is the perimeter of a square with sides 10 inches long?
23. Find the perimeter of this triangle.
Perimeter
Add all sides.
5 cm
3 cm
4 cm
24.
3 ft
2 ft
a. What is the length of this rectangle?
b. What is the width of this rectangle?
c. What is the perimeter of this rectangle?
Perimeter
Add all sides.
Activity
© 2008 Saxon
See page 125 in your textbook. Problems 25–28 are optional.
page 126
Estimating the Perimeter
• This activity is optional.
Saxon Math Intermediate 4
132
Adaptations Investigation 2