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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
Chapter 1Foundations for Algebra
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
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
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
Chapter 1Foundations for Algebra
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
4 9/7 TB p. 50 #41-47 all – Homework (use checkpoint #7)
5 9/8 TB p. 51 #69-74 all – In class
For #72-74, properties are listed on TB pages 26 and 27.
4 9/7 TB p. 50 #41-47 all – Homework (use checkpoint #7)
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
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
3 9/7 TB p. 49 #8-38 all – In class
4 9/7 TB p. 50 #41-47 all – Homework (use checkpoint #7)
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.
Chapter 1Foundations for Algebra
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
Algebra 1-Mr. Gualandri Rm. 14-139 Name ______________________ Unit 2 Foundations for Algebra Portfolio Assignment List
3 9/7 TB p. 49 #8-38 all – In class
4 9/7 TB p. 50 #41-47 all – Homework (use checkpoint #7)
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
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
Chapter 1Foundations for Algebra
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
Algebra 1-Mr. Gualandri Rm. 14-139 Name ______________________ Unit 2 Foundations for Algebra Portfolio Assignment List
3 9/8 TB p. 49 #8-38 all – In class
4 9/8 TB p. 50 #41-47 all – Homework (use checkpoint #7)
5 9/9 TB p. 51 #69-74 all – In class
6 9/9 WB p. 27 Practice 1-7 #1-22 – In Class/finish HW
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
Chapter 1Foundations for Algebra
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
4 9/7 TB p. 50 #41-47 all – Homework (use checkpoint #7)
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
9 9/15 Test Review TB p. 79 #1-19 all
9 9/15 Test Review TB p. 79 #1-19 all
9 9/8 Test Review TB p. 79 #1-19 all
9 9/15 Test Review TB p. 79 #1-19 all
Chapter 1Foundations for Algebra
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
When the signs are _________ the product is _______.
When the signs are _________ the product is ________.
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 the signs are _________ the product is _______.
When the signs are _________ the product is ________.
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.