Chapter 1 Foundations for Algebra 1.5 Adding and Subtracting Real Numbers

Chapter 1Foundations for Algebra

1.5 Adding and Subtracting Real Numbers

Tuesday September 6, 2011

Today we will review and practice adding and subtracting integers and rational

numbers.

Section 1.5 Checkpoint 1Using a Number Line to Add or Subtract

34

Use a number line to add or subtract real numbers:

7

)3(4 1

)3(4 7

)3(4 1

0 1 2 3 4 5 6 7 8 9

0 1 2 3 4 5 6 7 8 9

0 1 2 3 4 5 6 7 8 9

-6 -5 -4 -3 -2 -1 0 1 2 3

Move ______ to add , ____ to subtract. right left

Section 1.5 Checkpoint 2Adding Integers and Rational Numbers

)8(16

Add and find the sum using these rules:

24 911 2

)3.11(2.9 1.2

4

1

3

2

12

11

When the signs are __________ , ____ and keep the sign.

When the signs are ________ , ________ and keep sign of the ______ number.

the same add

different subtractlarger

need common denominator

Section 1.5 Checkpoint 3Subtracting Integers and Rational Numbers

)7(12

Subtract and find the difference using these rules:

5

28 10

)8.5(6.4 4.10

2

1

8

3

8

7

Subtraction is __________ of the __________.addition opposite

712

)2(8

8.56.4

2

1

8

3

need common denominator

Assignment SheetTuesday 9/6

Algebra 1-Mr. GualandriRm. 14-139 Name ______________________ Unit 2 Foundations for Algebra Portfolio Assignment List

1 9/6 TB p. 40 #17-39 all – In class

2 9/6 TB p. 43 #69-76 all – Homework

1 9/6 TB p. 40 #17-39 all – In class

1 9/6 TB p. 40 #17-39 all – In class


1.6 Multiplying and Dividing Real Numbers

Wednesday Sept 7, 2011

Today we will review and practice multiplying and dividing integers and

rational numbers.

Assignment Sheet

Algebra 1-Mr. Gualandri Rm. 14-139 Name ______________________ Unit 2 Foundations for Algebra Portfolio Assignment List

1 9/6 TB p. 40 #17-39 all – In class

2 9/6 TB p. 43 #69-76 all – Homework

2 9/6 TB p. 43 #69-76 all – Homework

Section 1.6 Checkpoint 4Multiplying Real Numbers

)15(6

Multiply and find the product using these rules:

90

3

112 4

5

3

10

7

50

21 24 16

When the signs are _________ the product is _______. the same positive

When the signs are _________ the product is ________. different negative

Section 1.6 Checkpoint 5Simplifying Square Roots

81

Write the simplified form of the ___________ expressions:

9 16 4

121

49

11

7

36

1

6

1

square root

Section 1.6 Checkpoint 6Dividing Real Numbers

)6(120

Divide and find the quotient using same rules as multiply:

20 )8.0(4.6 8

45

2

10

1

12

14412

When the signs are _________ the product is _______.

When the signs are _________ the product is ________.

the same positive

different negative

When dividing fractions, it is helpful to use the fact that division is _____________ of the __________.reciprocalmultiplication

4

1

5

2 12144

Section 1.6 Checkpoint 7Dividing Rational Numbers (Fractions)

2

5

4

3

Divide and simplify the quotient using the reciprocal rule:

10

3

8

9

y

x

4

3Evaluate and simplify when x = and y = :

3

2

To divide fractions, ________ by the __________.reciprocalmultiply

5

2

4

3

20

6

3243

3

2

4

3

2

3

4

3

8

9

Assignment SheetWednesday 9/7


1 9/6 TB p. 40 #17-39 all – In class

2 9/6 TB p. 43 #69-76 all – Homework

3 9/ 7 TB p. 49 #8-38 all – In class

4 9/7 TB p. 50 #41-47 all – Homework (use checkpoint #7)

3 9/7 TB p. 49 #8-38 all – In class

3 9/7 TB p. 49 #8-38 all – In class


1.7 The Distributive Property

Thursday Sept 8, 2011

Today we will learn how to simplify expressions using the distributive property.

Assignment Sheet

Algebra 1-Mr. Whitney Rm. 14-228 Name ______________________ Unit 2 Foundations for Algebra Portfolio Assignment List

1 9/6 TB p. 40 #17-39 all – In class

2 9/6 TB p. 43 #69-76 all – Homework

3 9/7 TB p. 49 #8-38 all – In class


5 9/8 TB p. 51 #69-74 all – In class

For #72-74, properties are listed on TB pages 26 and 27.


5 9/8 TB p. 51 #69-74 all – In class

For #72-74, properties are listed on TB pages 26 and 27.

Section 1.7 Checkpoint 8Using the Distributive Property to

Simplify Expressions

)53(4 a

Use the distributive property to simplify each expression:

2012 a

6)15( x

)72(2 m

)13( y

630 x

414 m

13 y )1510( x 1510 x

8124

1y 23 y

Section 1.7 Checkpoint 9Rewriting Fraction Expressions

4

13 x

Rewrite the expression as two fractions:

4

1

4

3 x

2

127 n

9

15a

62

7 n

3

5

9

1 a

4

1

4

3x

2

12

2

7n

9

15

9a

split fraction simplify

Assignment SheetFriday 9/9


1 9/6 TB p. 40 #17-39 all – In class

2 9/6 TB p. 43 #69-76 all – Homework

3 9/7 TB p. 49 #8-38 all – In class


5 9/8 TB p. 51 #69-74 all – In class

6 9/8 WB p. 27 Practice 1-7 #1-22 – In Class/finish HW

Complete Practice Worksheet 1-7 from WB p. 27

Write answers on worksheet/workbook page.

Worksheet due Tuesday at beginning of class.

Worksheet will be graded as a Quiz.

Unit 2 Test and Portfolio due Friday Sept. 16th.


1.8 An Introduction to Equations

Friday Sept 9, 2011

Today we will learn how determine if a number is a solution to a given equation.

Section 1.8 Checkpoint 10Using Mental Math to find Solutions

128 x

Use mental math to find the solution to each equation:

4x

84

a

312 y

32a

56

n

9y

30n

Section 1.8 Checkpoint 11Identifying the Solution to an Equation

6;32122 x

Is the given number a solution to the equation?

2

1;586 m

5;4416 n

55

1616

No

Yes

Yes

3224 3212)6(2

582

16

4)5(416

Section 1.9 Checkpoint 12Identifying Ordered Pair Solutions

)10,3(;4xy

Is the given ordered pair (x,y) a solution to the equation?

)4,15(;15

1yx

)6,4(;63 xy

44

66

No

Yes

No

1210 )3(4)10(

)4(1)15(5

1

6)4(3)6(

Assignment SheetFriday 9/9


3 9/7 TB p. 49 #8-38 all – In class


5 9/8 TB p. 51 #69-74 all – In class


7 9/9 WS p31 Extra Practice 1-8 #1-25 – In Class/finish HW

Complete Extra Practice Worksheet 1-8

Write answers on worksheet.

Worksheet due Tomorrow at beginning of class.

Unit 2 Test and Portfolio due Friday Sept. 16th.

7 9/9 WS Extra Practice 1-8 #1-25 – In Class/finish HW


1.9 Patterns, Equations, and Graphs

Monday Sept 12, 2011

Today we will learn how to create a graph and use an ordered pair to

predict an outcome.

Section 1.9 Checkpoint 13Using a Table to Make an Equation

Complete the table and use x and y to make an equation.

Age in yearsx

Height of Tree inches

y

3 78

5 130

182

8 208

10 260

axy

3)(78 axy 26

26a

A type of Florida palm tree grows 26 inches per year.

7

Use the pattern in the table to make an equation that models the relationship

5)(130 a7)(182 a8)(208 a10)(260 a

Section 1.9 Checkpoint 14Using a Table to Make Graph

Use the table of values for x and y to make a graph.

Number of weeks,

x

Weight of pig in kg,

y

0 32

1 38

2 44

3 50

4 56 x

y

0 1 2 3 4 5

60

50

40

30

20

10

Weeks

Wei

ght

in k

ilogr

ams

The weight of a domestic pig is recorded over four weeks.

Use the data in the table to model and complete the graph.

Section 1.9 Checkpoint 15Using a Graph to Make a Prediction

Use the graph to answer the questions below.

x

y

1 2 3 4 5 6 7 8

30

25

20

15

10

5

People

Tic

ket

Cos

t ($

)

The graph shows the ticket cost for people attending a football game.

Write the ordered pair (x, y) that represents the ticket cost for 5 people to attend the game. How much will 5 tickets cost?

Draw a line through the points and use it to predict the ticket cost for 8 people.

)20,5( $20

About $32

Assignment SheetTuesday 9/13


3 9/8 TB p. 49 #8-38 all – In class


5 9/9 TB p. 51 #69-74 all – In class


7 9/12 WS p. 31 Extra Practice 1-8 #1-25 – In Class/finish HW

8 9/14 WS p.35 Extra Practice 1-9 #1-20 – In Class/finish HW


1-5 through 1-9

Thursday Sept 15, 2011

Today we will review sections 1-5 through 1-9 and prepare for the Unit 2

test and portfolio check.

Assignment SheetWednesday 9/14

Algebra 1-Mr. GualandriRm. 14-139 Name ______________________ Unit 2 Foundations for Algebra Portfolio Assignment List

3 9/7 TB p. 49 #8-38 all – In class


5 9/8 TB p. 51 #69-74 all – In class

6 9/8 WB p. ?? Practice 1-7 #1-22 – In Class/finish HW

7 9/9 WS Extra Practice 1-8 #1-? – In Class/finish HW

8 9/14 WS p.35 Extra Practice 1-9 #1-20 – In Class/finish HW

9 9/15 Test Review TB p. 79 #1-19 all






1-5 through 1-9

Friday Sept 16, 2011

Today we will take the Unit 1 test and turn in portfolios for a grade.

END OF LESSON

Section 1.5 Checkpoint 1Using a Number Line to Add or Subtract

34

Use a number line to add or subtract real numbers:

)3(4

)3(4

)3(4

0 1 2 3 4 5 6 7 8 9

0 1 2 3 4 5 6 7 8 9

0 1 2 3 4 5 6 7 8 9

-6 -5 -4 -3 -2 -1 0 1 2 3

Move ______ to add , ____ to subtract.

Section 1.5 Checkpoint 2Adding Integers and Rational Numbers

)8(16

Add and find the sum using these rules:

911

)3.11(2.9

4

1

3

2

When the signs are __________ , ____ and keep the sign.

When the signs are ________ , ________ and keep sign of the ______ number.

Section 1.5 Checkpoint 3Subtracting Integers and Rational Numbers

)7(12

Subtract and find the difference using these rules:

28

)8.5(6.4

2

1

8

3

Subtraction is __________ of the __________.

Section 1.6 Checkpoint 4Multiplying Real Numbers

)15(6

Multiply and find the product using these rules:

3

112

5

3

10

7 24



Section 1.6 Checkpoint 5Simplifying Square Roots

81

Write the simplified form of the ___________ expressions:

9 16 4

121

49

11

7

36

1

6

1

square root

Section 1.6 Checkpoint 6Dividing Real Numbers

)6(120

Divide and find the quotient using same rules as multiply:

)8.0(4.6

45

2

12

144



When dividing fractions, it is helpful to use the fact that division is _____________ of the __________.

Section 1.6 Checkpoint 7Dividing Rational Numbers (Fractions)

2

5

4

3

Divide and simplify the quotient using the reciprocal rule:

y

x

4

3Evaluate and simplify when x = and y = :

3

2

To divide fractions, ________ by the __________.

Section 1.7 Checkpoint 8Using the Distributive Property to

Simplify Expressions

)53(4 a

Use the distributive property to simplify each expression:

6)15( x

)72(2 m

)13( y )1510( x

8124

1y

Section 1.7 Checkpoint 9Rewriting Fraction Expressions

4

13 x

Rewrite the expression as two fractions:

2

127 n

9

15a

Section 1.8 Checkpoint 10Using Mental Math to find Solutions

128 x

Use mental math to find the solution to each equation:

84

a

312 y

56

n

Section 1.8 Checkpoint 11Identifying the Solution to an Equation

6;32122 x

Is the given number a solution to the equation?

2

1;586 m

5;4416 n

Section 1.9 Checkpoint 12Identifying Ordered Pair Solutions

)10,3(;4xy

Is the given ordered pair (x,y) a solution to the equation?

)4,15(;15

1yx

)6,4(;63 xy

Section 1.9 Checkpoint 13Using a Table to Make an Equation

Complete the table and use x and y to make an equation.

Age in yearsx

Height of Tree inches

y

3

5

182

8

10

A type of Florida palm tree grows 26 inches per year.

Use the pattern in the table to make an equation that models the relationship

Section 1.9 Checkpoint 14Using a Table to Make Graph

Use the table of values for x and y to make a graph.

Number of weeks,

x

Weight of pig in kg,

y

0

1

2

3

4 x

y

0 1 2 3 4 5

60

50

40

30

20

10

Weeks

Wei

ght

in k

ilogr

ams

The weight of a domestic pig is recorded over four weeks.

Use the data in the table to model and complete the graph.

Section 1.9 Checkpoint 15Using a Graph to Make a Prediction

Use the graph to answer the questions below.

x

y

1 2 3 4 5 6 7 8

30

25

20

15

10

5

People

Tic

ket

Cos

t ($

)

The graph shows the ticket cost for people attending a football game.

Write the ordered pair (x, y) that represents the ticket cost for 5 people to attend the game. How much will 5 tickets cost?

Draw a line through the points and use it to predict the ticket cost for 8 people.

Documents

Chapter 1 Foundations for Algebra 1.5 Adding and Subtracting Real Numbers