review of addition - titusville area school district math intermediate 4 1 adaptations lesson 1 ......

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11 Teacher Notes:

• Introduce Hint #1 “Column Addition (Sets of Ten)”; Hint #2 “Word Problem Cues, Part 1”; and Hint #3 “Finding Missing Numbers” from the Teaching Guide.

• Refer students to “Missing Numbers” and “Word Problem Keywords” on pages 6 and 7 in the Student Reference Guide.

• Display reference chart “Sets of 10.”

• Review of Addition

New ConceptNew Concept

• Here are two ways to add 4 and 3:

4 addend+ 3 addend 7 sum

3 addend+ 4 addend 7 sum

Properties of Operations

Commutative Property of Addition 3 + 2 = 5 2 + 3 = 5

Identity Property of Addition 4 + 0 = 4 0 + 7 = 7

• To add three or more addends, Sets of 10

9 + 1 = 10

8 + 2 = 10

7 + 3 = 10

6 + 4 = 10

5 + 5 = 10

find sets of 10.

Example

3 + 4 + 7 =

3 + 7 = 10

10 + 4 = 14

3 + 4 + 7 = 14

Math Language

Addends are the numbers that are added.

2 addend+ 4 addend

6 sum

Sum is the answer to an addition problem.

page 7

Math Language

4 + 3 = 7 is a number sentence.

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New Concept,New Concept, continued continued

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• “Some and some more” stories have an addition formula.

Formula Problem Some 5 marbles + Some more – 7 marbles Total 12 marbles

• To find a missing addend, we SUBTRACT.

Example

Find the missing addends.

4+ n

7

7– 4 n = 3

b + 6 = 10 10 – 6 = b

b = 4

Lesson Practice

Add:

a. 5 + 6 = b. 6 + 5 = c. 8 + 0 =

Find sets of 10. Find sets of 10.

d. 4 + 8 + 6 = e. 4 + 5 + 6 = f. 5 morning008 afternoon

in all

g. Write two number sentences for this picture to show the Commutative Property:

+ = + =

h. Show six ways to add 1, 3, and 5. Commutative Property of Addition

1 + 3 + 5 = 9 1 + + =

3 + 1 + = 3 + + =

5 + + = 5 + + =



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Find each missing addend:

i. 7 + n = 10 j. a + 8 = 12

n = a =

k. Write “addend” or “sum.”

Lesson Practice, continued

Written PracticeWritten Practice page 12

1. 5 first row7 second row

first two rows

2. 6 left pocket3 right pocket

both pockets

3. 9 + 4 = 4. 8 + 2 = 5. 4+ n 9

9

–

n =



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Written Practice,Written Practice, continued continued

6. w+ 5 8

–

w =

7. Subtract.

6+ p

8

p =

8. Subtract.

q+ 8

8

q =

9. 3 + 4 + 5 = 10. 4 + 4 + 4 = 11. 6 + r = 10

r =

12. x + 5 = 6

x =

13. Find sets of ten.

55

+ 5

14. 80

+ 7


65

+ 4

16. 99

+ 9

17. m+ 910

m =

page 12



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onWritten Practice,Written Practice, continued continued

18. 9+ f12

f =

19. z+ 510

z =

20. 0+ n

3

n =

21. Find sets of ten. Sets of 10

9 + 1 = 10

8 + 2 = 10

7 + 3 = 10

6 + 4 = 10

5 + 5 = 10

3 + 2 + 5 + 4 + 6 =

page 13

22. 2 + 2 + 2 + 2 + 2 + 2 + 2 = 23. Write a number sentence for the picture:

+ =

24. Write a number sentence for the picture:

+ + =



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26. Choose the correct number for in the following number sentence:

+ 3 = 10

A 3 B 7 C 10 D 13

25. Show six ways to add 2, 3, and 4. Commutative Property of Addition

2 + + = 2 + + =

3 + + = 3 + + =

4 + + = 4 + + =

Use work area.

page 13

27. Show 5 + 6.

Use work area.

28. + = 17

Use work area.

29.

+ 15

Use work area.

30. Margot had crayons in

her school box and

crayons on her desk.

How many crayons did Margot have

in all?

+ =


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• Missing Addends


• To find a missing addend:

1. Add the other addends.2. Subtract from the sum.

Example

6 6 + 5 = 11 Add the other addends.

n 17 – 11 = 6 Subtract from the sum.

+ 5 n = 6

17

• Look for sets of 10. Sets of 10

9 + 1 = 10

8 + 2 = 10

7 + 3 = 10

6 + 4 = 10

5 + 5 = 10

Example

4 + 3 + 2 + b + 6 = 20 Find sets of 10.

10 + 3 + 2 = 15 Add the other addends.

20 – 15 = 5 Subtract from the sum.

b = 5

Teacher Note:

• Refer students to “Missing Numbers” on page 7 in the Student Reference Guide.

page 14

Math Language

An equation uses = to show that two amounts are equal.

5 + 2 = 7



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Lesson PracticeFind each missing addend:

Find sets of 10.

a. 8 + a + 2 = 17 b. b + 6 + 5 = 12

8 + 2 = 10 6 + =

17 – 10 = 12 – =

a = b =

c. 4 + c + 2 + 3 + 5 = 20

4 + 2 + + =

20 – =

c =

1. 5 morning6 afternoon

in all

2. 7 miles ridden4 miles to go

from school to lake

3. 9 + n = 13

13 – 9 = n

n =

4. 7 + 8 = 5. p 13+ 6 – 613

p =




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6. 5 5 + 2 = 2

12 – = + w12

w =

7. 48

+ 5

8. Finds sets of ten.

93

+ 7

9. 8b

+ 316

8 + 3 =

16 – =

b =


97

+ 3

11. 29

+ 6


38

+ 2

13. 95

+ 3

14. 2m

+ 49

2 + 4 =

9 – =

m =

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20. 52

+ 6

19. 2x

+ 711

2 + =

11 – =

x =


5 + 5 + 6 + 4 + x = 23

5 + 5 + 6 + 4 =

23 – =

x =

17. 53

+ t10

5 + 3 =

10 – =

t =


84

+ 6

15. 53

+ q9

5 + 3 =

9 – =

q =

16. 23

+ r7

2 + 3 =

7 – =

r =

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4 + + = 4 + + =

5 + + = 5 + + =

6 + + = 6 + + =

Use work area.

23. Write a number sentence for the picture:

+ + =

24.

+ =

25. 4 addend+ 3 addend 7

s

26. Which number is in the following number sentence?

6 + = 10

A 4 B 6 C 10 D 16

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27. Show 6 + 3 + 5

Use work area.

28. 10 + + = 20

Use work area.

29. 10

+ 24

30. Tom rode his bike

miles the first week,

miles the second week,

and miles the third week.

How many miles did he ride in three

weeks?

+ + =

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33 Teacher Notes:

• Introduce Hint #4 “Finding Patterns in Sequences” from the Teaching Guide.

• Refer students to “Multiplication Table” on page 5 in the Student Reference Guide.

• Sequences

• Digits


• Sequences • A sequence can count up or count down.

5, 10, 15, 20, 25, … 20, 15, 10, 5, …

• Subtract to find the rule.

Example

Find the rule of the sequence.

30, 27, 24, 21, , 15, …

30

– 27

3

27

– 24

3

We know to look at the 3s row in the multiplication table.

30, 27, 24, 21, 18, 15,

-3 -3 -3 -3 -3

The rule is count down by threes.

• Digits • Digits are the numerals 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.

page 18

Math Language

• Counting numbers are the numbers you say when you count by ones.

1, 2, 3, 4, 5, …

A sequence is a counting pattern.




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Example

What is the last digit of 64,000?

64,000 has five digits. The last digit is 0.

Lesson PracticeWrite the rule and the next three numbers of each counting sequence:

a. 10, 9, 8, 7, , , , …

Rule: Count down by .

b. 3, 6, 9, 12, , , , …

Rule: Count up by . Subtract to find the rule.

6 9– 3 – 3

Look at the row in the multiplication table.

Find the missing number in each counting sequence: Subtract to find the rule.

c. 80, 70, , 50, … d. 8, , 16, 20, 24, …

HOW MANY digits are in each number?

e. 18 f. 5280 g. 8,403,227,189

What is the LAST digit of each number?

h. 19 i. 5281 j. 8,403,190



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k. How many three-digit numbers can you make with 7, 8, and 9? Act it out.

7 8 8

7 9

8 7

There are numbers.

Written PracticeWritten Practicepage 21

1. $5 Diana $6 Sumaya

$7 Britt

altogether

2. 9 songs 8 songs

altogether

3. How many digits?

a. 593

b. 180

c. 186,527,394

a.

b.

c.

4. What is the LAST digit?

a. 3427

b. 460

c. 437,269

a.

b.

c.

5. 5 + m + 4 = 12

5 + 4 =

12 − =

m =




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6. 8 + 2 + w = 16

8 + 2 =

16 − =

w =

7. Find the next number.

10, 20, 30, , …


22, 21, 20, , …


40, 35, 30, 25, , …


70, 80, 90, , …

11. Subtract to find the rule.

6, 12, 18, , , , …

12 – 6

18 –

Rule: Count up by .

Use work area.

12.

3, 6, 9, , , , …

Rule: Count by .

Use work area.

13.

4, 8, 12, , , , …

Rule: Count by .

Use work area.

14.

45, 36, 27, , , , …

Rule: Count by .

Use work area.

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18.

6, 9, , 15, …

Use work area.

19. How many small rectangles are shown?

Count by twos.

15.

8, 12, , 20, …

Use work area.

16.

12, 18, , 30, …

Use work area.

17.

30, 25, , 15, …

Use work area.

20. How many Xs are shown?

Count by fours.

X X X X X XX X X X X X

X X X X X XX X X X X X

21. Write a number sentence.

+ + =

22. 487

+ 5

23. 957

+ 8


847

+ 2

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27. Act it out.

a

a

a

arrangements

28. + = 9

Use work area.

29. +

11

Use work area.

30. + = 12

Michael had pencils. He got more pencils.

How many pencils does Michael have now?

Use work area.

25. 297

+ 5

26. = 3 and = 4

+ =

A 3 B 4 C 5 D 7

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44 Teacher Notes:

• Refer students to “Place Value” on page 13 in the Student Reference Guide.

• Use money manipulatives to demonstrate.

• Place Value


hundreds tens ones

2 hundreds$200

4 tens$40

3 ones$3

$243

ActivityActivity page 25

Comparing Money Amounts

Use your textbook to complete this activity.

Lesson Practice

a. Use money manipulatives to show $231.

Then draw $231.

hundreds tens ones

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b. Use money manipulatives to show $213.

Then draw $213.

Which is less, $231 or $213?

hundreds tens ones

The digit 6 is in what place in each of these numbers?

c. 16 d. 65

e. 623

f. 5 hundreds, 2 tens, 3 ones =

1. 3 red 4 blue 5 green 1 yellow

color tiles in all


+ =





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5. 45

+ 3

6. 13+ y

19 −

y =

7. 7+ s14

s =

8. 4 + n + 5 = 12

4 + 5 =

12 − =

n =

9. n + 2 + 3 = 8

2 + 3 =

8 − =

n =

Written Practice,Written Practice, continued continued page 26

3. How many cents are in 4 nickels?

Count by fives.

5¢ 5¢ 5¢ 5¢

4. Subtract.

4+ n12

−

n =


9, 12, 15, , , , …

Rule: Count by .

Use work area.

11.

30, 24, 18, , , , …

Rule: Count by .

Use work area.



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12.

12, 16, 20, , , , …

Rule: Count by .

Use work area.

13.

35, 28, 21, , , , …

Rule: Count by .

Use work area.

14. Count the digits.

a. 37,432

b. 5,934,286

c. 453,000

Use work area.

15. Name the last digit.

a. 734

b. 347

c. 473

Use work area.

17. How much money is shown by this picture?

16. Draw a picture.

hundreds tens ones

$342

Use work area.

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24, , 36, 42, …

Rule: Count by .

Use work area.

19.

36, 32, , 24, …

Use work area.

20. How many ears do 10 rabbits have?

Count by twos.

21. What place is the 6 in?

365

22. number sentence

+ =


23. 2 + 5 + 3 + 2 + 3 + 1 + n = 20

2 + 5 + 3 + 2 + 3 + 1 =

20 − =

n =

Use work area.

24. I a the other

addends.

Then I s that

from the sum.

Use work area.



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6 + + = 6 + + =

7 + + = 7 + + =

8 + + = 8 + + =

Use work area.

26. 123

Which digit shows the number of hundreds?

A 1 B 2 C 3 D 4

27. tenth number

1, 2, 3, 4, 5, , ,

, ,

28. How many three-digit numbers can you make with 2, 3, and 8? Act it out.

2

3

different numbers

29. + =

Use work area.

30. has and

.

How many does

have ?

Use work area.

page 28


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55 Teacher Note:

• Refer students to “Months of Year” on page 3 in the Student Reference Guide.

• Ordinal Numbers

• Months of the Year


• Ordinal numbers tell position or order.

First1st

Second2nd

Third3rd

Fourth4th

• Most ordinal numbers end in th. Only the numbers circled below do not end in th.

first ..........1st sixth........ 6th eleventh....... 11th

second.....2nd seventh... 7th twelfth.......... 12th

third .........3rd eighth ..... 8th thirteenth ..... 13th

fourth.......4th ninth ....... 9th twentieth...... 20th

fifth ..........5th tenth ....... 10th twenty-first .. 21st

• A common year is 365 days. A leap year is 366 days. The extra day is added to February.

• The month/day/year form of February 26, 1998, is 2/26/98.

Lesson Practice a.

1st Jayne Zahina

people

page 29

• Ordinal numbers

• Months of the year


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b. My birth date is / / .Month Day Year

c. Independence Day will be / / . Month Day Year

1. 5 first line 6 second line 4 third line

altogether

2. 26

+ x15

2 + 6 =

15 − =

x =

3. 1y

+ 714

1 + 7 =

14 − =

y =

4. 3z

+ 512

3 + 5 =

12 − =

z =

5. 1n

+ 613

1 + 6 =

13 − =

n =

6. 25

+ w 10

2 + 5 =

10 − =

w =





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14.

30, , 42, 48

Use work area.

15. I s to find the

rule.

The rule is count .

Use work area.

7. Subtract.

2+ a

7 −

a =

8. r+ 5

11 −

r =

9. 3+ t

5 −

t =

10. 8/15/93

,


12, 15, 18, , , , …

Rule: Count by .

Use work area.

12.

16, 20, 24, , , , …

Rule: Count .

Use work area.

13.

28, 35, 42, , , , …

Rule: Count .

Use work area.

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16. Draw a picture.

hundreds tens ones

$432

Use work area.


+ + =

18. What place?

845

19. 2 hundreds3 tens5 ones

20. If the pattern is continued, what will be the next circled number?

1, 2, 3 , 4, 5, 6 , 7, 8, 9 , 10, ...

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21. Seven boys have how many pets?

Count by twos.


5 8 4 7 4 + 3

23. 5 7 3

8 × 4 + 2 ×

24. 9 7 6 5 4 + 2

25. 8 7 3 5 4 + 9

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26.

1st Jenny Jessica

A 3 B 4 C 5 D 6

27. Find the tenth number.

2, 4, 6, 8, 10, , , , ,

28. How many arrangements can you make with r, s, and t? Act it out.

r

s

t

different arrangements.

29. + =

Use work area.

30.

Use work area.

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66 Teacher Note:

• Introduce Hint #5 “Addition/Subtraction Fact Families.”

• Review of Subtraction


• Check subtraction by adding.

Subtract: 6 Check: 2

Six minus two − 2 Two plus four + 4equals four. 4 equals six. 6

• When you learn one fact family, you know four facts.

2 4

6 2+ 4

6

4+ 2

6

6– 4

2

6– 2

4

3 5

8 3+ 5

8

5+ 3

8

8– 3

5

8– 5

3

Lesson PracticeSubtract. Check your answers by adding.

a. 14– 8

Check: 8

+ 14

b. 9– 3

Check: 3

+ 9

c. 15– 7

Check: 7

+ 15

d. 11– 4

Check:

+

page 35

Math Language

The answer to a subtraction problem is called the difference.

6 – 2 4 difference

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e. 12– 5

Check:

+

f. 5

+

6

+

11

–

11

–5 6

11

g. Describe how to check a subtraction answer. Show an example.

You can check subtraction by a .

Example: 5– 3

Check: 3

+ 05

1. 14– 5

Check: 5

+ 14

2. 15– 8

Check: 8

+ 15

3. 9– 4

Check: 4

+ 9

4. 11– 7

Check: 7

+ 11





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5. 12– 8

Check: 8

+ 12

6. 11– 6

Check: 6

+ 11

7. 15– 7

Check: 7

+ 15

8. 9– 6

Check: 6

+ 9

9. 13– 5

Check: 5

+ 13

10. 12– 6

Check: 6

+ 12

11. Subtract.

8+ n17

–

n =

12. a+ 814

–

a =

13. 3 + w = 11

–

w =

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14. 1 + 4 + m = 13

1 + =

13 – =

m =

15.

4 6

10

4

+

6

+

10

–

10

–

Use work area.


16, 18, 20, , , , …

Rule: Count

Use work area.

17.

21, 28, 35, , , , …

Rule:

Use work area.

18.

20, 24, 28, , , , …

Rule:

Use work area.

19. See “Months of Year” on page 3 in the Student

Reference Guide.

20. Picture

hundreds tens ones

$326

Use work area.

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21. What place?

456

22. 2 + n + 4 = 13

2 + =

13 − =

n =

23. a + 3 + 5 = 16

3 + =

16 − =

a =

24. The d is the

answer in a subtraction problem.

Use work area.


3 + + = 3 + + =

4 + + = 4 + + =

5 + + = 5 + + =

Use work area.




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26. The ages of the children in Tyrese’s family are 7 and 9. The ages of the children in Mary’s family are 3, 5, and 9. Which number sentence shows how many children are in both families?

A 3 + 7 = 10 B 7 + 9 = 16 Tyrese’s family

C 2 + 3 = 5 D 3 + 5 + 9 = 17 + Mary’s family

both


3

6

9

28. + + = 23

Use work area.

29. – = 9

Use work area.

30.

+ = Use work area.

numbers

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77 Teacher Notes:

• Refer students to “Spelling Numbers” on page 12 in the Student Reference Guide.

• Display reference chart “Spelling Numbers.”

• Writing Numbers Through 999


• Use hyphens when writing the numbers 21–99 using words. Numbers that end in 0 do not need a hyphen.

Example

23 twenty-three

705 seven hundred five

To compare three-digit numbers:

1. Look at the hundreds.2. Look at the tens.3. Look at the ones.

Example

Arrange these numbers from least to greatest: 3 6

2 5 4

1 0 5

9 0

36 254 190 90

1. Look at the hundreds.

Two is greater than one so 254

is the greatest number.

105 is the next greatest.

, , 105, 254

2. Look at the tens in 36 and 90.

Three is less than nine, so 36 is less than 90.

Least to greatest: 36, 90, 105, 254

page 39

Math Language

• Whole numbers are the counting numbers and the number zero.

0, 1, 2, 3, 4, 5, . . .



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Use words to write each number. Refer to page 12 in the Student Reference Guide.

a. 0 ____________________________________________________________________

b. 81 ____________________________________________________________________

c. 99 ____________________________________________________________________

d. 515 ____________________________________________________________________

e. 444 ____________________________________________________________________

f. 909 ____________________________________________________________________

Use digits to write each number:

g. nineteen h. ninety-one

i. five hundred twenty-four

j. eight hundred sixty

k. Use words to write the number shown by this model:

l. Which is less: 381 or 359? Look at the hundreds. Look at the tens.

is less than so is less than .

m. Write these numbers from least to greatest. Look at the hundreds. Look at the tens.

61, , , 205

Lesson Practice



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3. 5 + n + 2 = 11

5 + =

11 − =

n =

4. 2 + 6 + n = 15

2 + =

15 − =

n =

5. 13− 5

Check: 5

+ 13

6. 16− 8

Check: 8

+ 16

1. $8+ $6

has needs

cost of radio

2. 8 ounces+ 8 ounces

water juice

mixture

7. 13− 7

Check: 7

+ 13

8. 12− 8

Check: 8

+ 12

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9. two hundred fourteen

digits:

Use work area.

10. five hundred thirty-two

digits:

Use work area.

11. 301

words:

Use work area.

12. 320

words:

Use work area.

13. See page 43.

words:

Use work area.

14. Number sentence

+ =


12, 18, 24, , , , ...

Rule:

Use work area.

16.

15, 18, 21, , , , ...

Rule:

Use work area.

page 43



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19. How much money is shown by this picture?

20.

7 8

15

7

+

8

+

15

−

15

−

Use work area.

21.

1st Sister Brad

22. See “Months of Year” on page 3 in the

Student Reference Guide.

17.

35, 42, , 56, ...

Use work area.

18.

40, , 56, 64, ...

Use work area.

23.

5¢ 5¢ 5¢ 5¢ 5¢ 5¢

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24. 4 + 7 + 8 + 5 + 4 = 25. Find sets of ten.

2 + 3 + 5 + 8 + 5 =

26. 5 + 8 + 6 + 4 + 3 + 7 + 2 = 27. Which addition number sentence is related to 12 − 5 = 7?

A 7 + 5 = 12 B 12 + 5 = 17

C 12 + 7 = 19 D 12 − 7 = 5


1

4

6

numbers

29. Look at the hundreds.

Look at the tens.

is less.is less.

page 44

30. Order from longest to shortest. Look at the hundreds.

Look at the tens.

Look at the ones.

KuskokwimUse work area.


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88

• Adding Money


• To add two-digit numbers:

1. Add the ones.2. Add the tens.

Example

Use $10 bills and $1 bills to add $15 to $24.

42

51

93

Sakura had $24.

Then on her birthday she was given $15.

How much money does Sakura now have?

The total is 3 tens and 9 ones, which is $39.


Adding Money Amounts

Use your textbook to complete this activity.

page 45



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Add.

a. $53+ $6

b. $14

+

c. $36

+

d. $27+ $51

e. $15

+

f. $32

+

1. three hundred forty-three

digits:

Use work area

2. three hundred seven

digits:

Use work area.

3. 592

words:

Use work area

4. 24

+ n12

2 + =

12 − =

n =

5. 1r

+ 610

1 + =

10 − =

r =

6. 1t

+ 714

1 + =

14 − =

t =


Lesson Practice



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9. $85+ $14

10. $22+ $ 6

7. 26

+ n13

2 + =

13 − =

n =

8. $25+ $14

11. $40+ $38

12. 13− 9

Check: 9

+ 13

13. 17− 5

Check: 5

+ 17

14. 17− 8

Check: 8

+ 17




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15. 14− 6

Check: 6

+ 14

16. $23 D’Jeran $42 Beckie

together

17. Use words to write the number shown by this model:

words: Use work area.

18.

/ / Month Day Year

Use work area.


12, 15, 18, , , , …

Rule:

Use work area.

20.

28, 35, 42, , , , …

Rule:

Use work area.

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5 8 7 º 6 • 4 •+ 3 º


9 7 6 4 8+ 7

23.

2 5 7 3 5+ 4


5 + + = 5 + + =

6 + + = 6 + + =

7 + + = 7 + + =

Use work area.

25.

7 8

15

7

+

+

15

−

−

Use work area.

26. If 7 + ◆ = 15, then which of the following is not true?

A 7 15 B 15 7

C 15 7 D 7 15

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5

different numbers

28. Which is greater: 630 or 603? Look at the hundreds.

Look at the tens.

is more than so is greater.

Use work area.

29. Order from least to greatest.

Skyscrapers

City Number

Boston 16

Hong Kong 30

Singapore 14

Look at the tens.

Look at the ones.

Singapore, ,

30.

+ = 16Use work area.

page 49


L E S S O N

Name


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99

• Adding with Regrouping


• To add with regrouping:

1. Add the ones. 2. Regroup. 3. Add the tens.

Example

Karyn had $39. She earned $14 more by raking leaves.

How much money does Karyn have?

Regroup 10 ones for 1 ten.

3

1

5

4

9

4

3

13

53

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• To add with regrouping:

1. Add the ones. 2. Regroup. 3. Add the tens.

Example

Regroup.

Add ones. Write the 3. Add tens.

9 + 4 = 13 Carry the 1.

39+ 14

1

39+ 14

3

1

39+ 14

53

Lesson PracticeSolve each problem using money manipulatives. Then add using pencil and paper.

a. $36+ $29 $

b. $47+ $ 8 $

c. $57+ $13 $

Use pencil and paper to add:

d. 68+

e. $59+

$

f. 46+



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1. six hundred thirteen

digits:

Use work area.

2. nine hundred one

digits:

Use work area.

3. 941

words:

Use work area.

4. 24

+ f11

2 + =

11 − =

f =

5. 5g

+ 2

5 + =

13 − =

g =

6. h4

+ 715

4 + =

15 − =

h =

7. 27

+ n16

2 + =

16 − =

n =

8. 33+ 8

9. $47+ $18

10. 27+ 69

11. $49+ $25



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12. 17− 8

Check: 8

+ 17

13. 12− 6

Check: 6

+ 12

14. 9− 7

Check: 7

+ 9

15. 13− 6

Check: 6

+ 13

16. When we add, the answer is called

the s .

Use work area.

17. When we subtract, the answer is

called the d .

Use work area.

18. Which month is two months AFTER the twelfth month?

See “Months of Year” on page 3 in the Student

Reference Guide.


30, 36, 42, , , , …

Rule:

Use work area.

20.

28, 35, 42, , , , …

Rule:

Use work area.

21. hundreds place

843

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22. 28+ 6

23. $47+ $28

24. 35+ 27

25. Mio bought pants for $28 and a shirt for $17. Write an equation to show how much Mio spent.

+ =

27. How many arrangements? Act it out.

l

m

arrangements

26. What number does this model stand for?

A 31 B 13

C 103 D 130

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28. Which is less: 89 or 98? Look at the tens.

Look at the ones.

29. Order from fastest to slowest.

Speeds of Animals

AnimalSpeed

(miles per hour)

White-tailed deer 30

Mule deer 35

Reindeer 32

mule deer, ,

30.

+ = 7

Use work area.

page 54


L E S S O N

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1010 Teacher Notes:

• Introduce Hint #6 “Finding Numbers with Odd or Even Digits.”

• Refer students to “Odd/Even” on page 13 in the Student Reference Guide.

• Display reference chart “Odd/Even.”

page 55

• Even and Odd Numbers


• Even numbers: 0, 2, 4, 6, 8, ...• Odd numbers: 1, 3, 5, 7, 9, ...• Look at the last digit: Examples

463 odd 456 even 285 odd

Example

Use the digits 2, 7, and 6 to write a three-digit odd number greater than 500.

3 digits

last digit odd 7

hundreds greater than 5 6 7

number 6 2 7

Lesson PracticeWrite “even” or “odd” for each number:

a. 563 b. 328

c. 99 d. 0



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e. Use the digits 3, 4, and 6 to write an even number greater than 500. Use each digit only once.

hundreds greater than 5

even

f. How can you tell whether a number is even?

A number is even if the last digit is , , , ,

or .

g. How many different three-digit numbers can you write using 4, 0, and 5?

• 0 may not be used in the hundreds place. • List the numbers in order. • Write odd or even.

4 5 odd

5

numbers


1. five hundred forty-two

digits

Use work area.

2. six hundred nineteen

digits

Use work area.




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3.

4 7

11

4

+

7

+

11

–

11

–

Use work area.

4. 903

words:

Use work area.

5. 746

words:

Use work area.

6. Use the digits 4, 6, and 7 to write an odd number greater than 600. hundreds greater than 6

odd

Use work area.

7. 4n

+ 314

4 + =

14 – =

n =

8. p4

+ 213

4 + =

13 – =

p =

9. 5q

+ 714

5 + =

14 – =

q =

10. r3

+ 211

3 + =

11 – =

r =

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11. 15– 7

Check: 7

+ 15

12. 14– 7

Check: 7

+ 14

13. 17– 8

Check: 8

+ 817

14. 11– 6

Check: 6

+ 811

15. $25+ $38

16. $19+ $34

17. 42+ 8

18. 17+ 49


18, 21, 24, , , , ...

Rule:

Use work area.

20. What is the eighth number in this counting sequence?

6, 12, 18, 24, , , ,

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21. If Jabari has $6 in a piggy bank, $12 in his wallet, and $20 in his drawer, how much money does Jabari have in all three places? Write a number sentence for this problem.

+ + =


2 3 5 7 8 4 + 5

23. / / month day year

24. Use words to write the number shown by this model:

Use work area.

25. Largest

even

26. If + 4 = 12, then which of these is not true?

A 4 + = 12 B 12 – = 4

C 12 + 4 = D 12 – 4 =

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27. List in order from least to greatest all the three-digit numbers using 8, 3, and 0.

0 cannot be in the hundreds place.

3

8

Use work area.

28. odd or even

a. 73

b. 54

c. 330

d. 209

Use work area.

29. – =

Use work area.

30. Mary scored points in her basketball game Monday.

She scored points in her basketball game Tuesday.

How many points did Mary score in her games Monday and Tuesday?

+ =

My answer is reasonable because I added points and

points and the sum was .

Use work area.

page 59


Saxon Math Intermediate 4 61 Adaptations Investigation 1

Name ©

200

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axon

I N V E S T I G A T I O N 11

page 60

Focus onFocus on• Number Lines

• A number line has tick marks. Some of those marks are labeled with numbers.

0 4 8 12

• “Finding the pattern” helps us find what number to count by.

Try ones.

Try twos.

Try fives.

Try tens.

Example

To what number is the arrow pointing?

0 4 8 12

Try ones. Counting by ones does not fit the pattern.

Try twos. The pattern is count up by 2.

0 4

2 4 6 8

8 12

The arrow points to 6.

Teacher Notes:

• Introduce Hint #7 “Positive and Negative Numbers”; and Hint #8, “Comparing Numbers.”

• Refer students to “Number Line” and “Less Than/Greater Than” on page 12 in the Student Reference Guide.

• Display reference chart “Number Line.”

Math Language

A line goes both ways forever.

Arrowheads show that it continues.

line

SM_H4_AD_Inv01_FF.indd 61SM_H4_AD_Inv01_FF.indd 61 11/2/07 8:48:02 AM11/2/07 8:48:02 AM


I N V E S T I G A T I O N continued1

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To what number is each arrow pointing in problems 1 and 2?

1.

3010 200 5040

Find the pattern.

3010 200 5040

Try ones.

Try twos.

Try fives.

Try tens.

The pattern is count up by .

The arrow points to .

2.

20100 30

Find the pattern.

20100 30

Try ones.

Try twos.

Try fives.

Try tens.

The pattern is count up by .




I N V E S T I G A T I O N continued1©

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Drawing Number Lines

a. Write the numbers that go below the tick marksFind the pattern.

1008060

0 100

b Draw tick marks for 2, 4, 6, 8.

0 10

• On a number line there are both positive and negative numbers.

Negative ten: –10 Positive ten: 10

negative numbers positive numbers

0 1 2 3 4 5–1–2–3–4–5

• We can write counting sequences that have both positive and negative numbers.

Example

... , 10, 8, 6, 4, 2, 0, –2, –4, –6, ...

... , 9, 7, 5, 3, 1, –1, –3, –5, ...

0 1 2 3 4 5 6 7 8 9 10–1 –2–3–4–5–6

Math Language

Positive numbers are greater than zero.

Negative numbers are less than zero.

Zero is neither positive nor negative.




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3. Represent At 3 p.m. the temperature was 2 degrees. At 5 p.m. the temperature was 6 degrees colder. What was the temperature at 5 p.m.?

0 1 2

123456

–1–2–3–4–5–6

The temperature was degrees.

4. Represent What is Molly’s debt?

0 1 2

12345

–1–2–3–4–5–6

Molly’s debt is dollars.

5. Write the number that is 15 less than zero.

a. Use digits.

b. Use words. n f

6. Write the next four numbers in this sequence:

... , 20, 15, 10, 5, , , , , ...

0 5 201510–5–10–15–20



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To what number is each arrow pointing in problems 7 and 8?

7.

0 5–5

Find the pattern.

Try ones. Try twos. Try fives. Try tens.

The pattern is count down by .


8.

0 10–10

Find the pattern.

Try ones. Try twos. Try fives. Try tens.

The pattern is count down by .


• A number line can help us compare two numbers.Numbers go from least to greatest on a number line.

Example

Compare 2 and –3.

0 1 2 3 4–1–2–3–4

2 > –3Two is greater than negative three.

Math Language

We use these signs to compare numbers:

< less than

> greater than

= equal to




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Compare: Use the number line.

0 1 2 3 4 5–1–2–3–4–5

9. –3 1 10. 3 2

11. 2 + 3 3 + 2 12. –4 –5

13. Represent Use words to write the comparison –1 < 0.

N is

l than z .

14. Use digits and a comparison symbol to write “negative two is greater than negative three.”

Arrange the numbers from least to greatest in problems 15 and 16. Use the number line.

4 5 6 7 80 1 2 3 9 10–1

15. 0, –2, –3 , ,

16. 10, –1, 0 , ,


review of addition - titusville area school district math intermediate 4 1 adaptations lesson 1 ......

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