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Integrated Math I Software Table of Contents – 2009‐2010

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<br />

<strong>Integrated</strong>
<strong>Math</strong>
I
<strong>S<strong>of</strong>tware</strong>
<strong>Table</strong>
<strong>of</strong>
<strong>Contents</strong>
<strong>–</strong>
<strong>2009‐2010</strong>
<br />


<br />

Unit
1
:
Linear
Patterns
<br />

1‐1
:
Finding
Linear
Patterns
with
Positive
Rates
<strong>of</strong>
Change
<br />

1‐2
:
Finding
Linear
Patterns
with
Positive
and
Negative
Rates
<strong>of</strong>
Change
<br />

1‐3
:
Finding
Linear
Patterns
with
Negative
Starting
Points
<br />

Unit
2
:
Linear
Models
and
First
Quadrant
Graphs
<br />

2‐1
:
Graphing
with
Positive
Rates
<strong>of</strong>
Change
<br />

2‐2
:
Graphing
with
Positive
Rates
<strong>of</strong>
Change
and
Negative
Starting
Points
<br />

2‐3
:
Graphing
with
Negative
Rates
<strong>of</strong>
Change
and
Positive
Starting
Points
<br />

Unit
3
:
Two‐Step
Linear
Equations
<br />

3‐1
:
Solving
One‐Step
Equations
(Type
In)
<br />

3‐2
:
Solving
with
Multiplication
(No
Type
In)
<br />

3‐3
:
Solving
with
Multiplication
(Type
In)
<br />

3‐4
:
Solving
with
Division
(No
Type
In)
<br />

3‐5
:
Solving
with
Division
(Type
In)
<br />

3‐6
:
Solving
with
a
Variable
in
the
Denominator
(No
Type
In)
<br />

3‐7
:
Solving
with
a
Variable
in
the
Denominator
(Type
In)
<br />

Unit
4
:
Linear
Models
and
Independent
Variables
<br />

4‐1
:
Finding
Independent
Variables
with
Positive
Rates
<strong>of</strong>
Change
<br />

4‐2
:
Finding
Independent
Variables
with
Starting
Points
<br />

4‐3
:
Finding
Independent
Variables
with
Negative
Rates
<strong>of</strong>
Change
and
Starting
Points
<br />

Unit
5
:
Linear
Models
and
Ratios
<br />

5‐1
:
Modeling
Linear
Functions
with
Ratios
<br />

©
Copyright
2009
Carnegie
Learning,
Inc.




<br />

Unit
6
:
Linear
Equations
with
Similar
Terms
<br />

6‐1
:
Solving
Two‐step
equations
(Type
In)
<br />

6‐2
:
Solving
by
Combining
Like
Variable
Terms
and
a
Constant
with
Integers
(No
Type
In)
<br />

6‐3
:
Solving
by
Combining
Like
Variable
Terms
and
a
Constant
with
Integers
(Type
In)
<br />

6‐4
:
Solving
by
Combining
Like
Variable
Terms
with
Decimals
(No
Type
In)
<br />

6‐5
:
Solving
by
Combining
Like
Variable
Terms
with
Decimals
(Type
In)
<br />

6‐6
:
Solving
by
Combining
Like
Variable
Terms
and
a
Constant
with
Decimals
(No
Type
In)
<br />

6‐7
:
Solving
by
Combining
Like
Variable
Terms
and
a
Constant
with
Decimals
(Type
In)
<br />

Unit
7
:
Linear
Models
and
Four
Quadrant
Graphs
<br />

7‐1
:
Graphing
with
Positive
Integer
Rates
<strong>of</strong>
Change
<br />

7‐2
:
Graphing
with
Positive
Fractional
Rates
<strong>of</strong>
Change
<br />

7‐3
:
Graphing
with
Negative
Rates
<strong>of</strong>
Change
<br />

Unit
8
:
Linear
Models
and
Slope‐Intercept
Graphs
A
<br />

8‐1
:
Graphing
given
an
Integer
Slope
and
Y‐intercept
<br />

8‐2
:
Graphing
given
a
Fractional
Slope
and
Y‐intercept
<br />

Unit
9
:
Linear
Equations
and
the
Distributive
Property
<br />

9‐1
:
Solving
Linear
Equations(Type
In)
<br />

9‐2
:
Using
Multiplication
and
Integers
(No
Type
In)
<br />

9‐3
:
Using
Multiplication
and
Integers
(Type
In)
<br />

9‐4
:
Using
Multiplication
and
Decimals
(No
Type
In)
<br />

9‐5
:
Using
Multiplication
and
Decimals
(Type
In)
<br />

9‐6
:
Using
Multiplication
and
Large
Decimals
(No
Type
In)
<br />

9‐7
:
Using
Multiplication
and
Large
Decimals
(Type
In)
<br />

9‐8
:
Using
Division
(No
Type
In)
<br />

9‐9
:
Using
Division
(Type
In)
<br />

9‐10
:
Using
Division
with
Additional
Variable
Term
(No
Type
In)
<br />

9‐11
:
Using
Division
with
Additional
Variable
Term
(Type
In)
<br />

©
Copyright
2009
Carnegie
Learning,
Inc.




<br />

Unit
10
:
Linear
Models
and
the
Distributive
Property
<br />

10‐1
:
Modeling
with
Integer
Rates
<strong>of</strong>
Change
<br />

10‐2
:
Modeling
with
Fractional
Rates
<strong>of</strong>
Change
<br />

10‐3
:
Modeling
using
the
Distributive
Property
over
Division
<br />

10‐4
:
Modeling
More
Complex
Equations
<br />

Unit
11
:
Linear
Equations
with
Variables
on
Both
Sides
<br />

11‐1
:
Solving
Linear
Equations
(Type
In)
<br />

11‐2
:
Solving
with
Integers
(No
Type
In)
<br />

11‐3
:
Solving
with
Integers
(Type
In)
<br />

11‐4
:
Solving
with
Decimals
(No
Type
In)
<br />

11‐5
:
Solving
with
Decimals
(Type
In)
<br />

11‐6
:
Solving
with
Large
Decimals
(No
Type
In)
<br />

11‐7
:
Solving
with
Large
Decimals
(Type
In)
<br />

11‐8
:
Solving
Linear
Equations
with
No
Solution
and
Infinite
Solutions
(No
Type
In)
<br />

Unit
12
:
Perimeter
and
Area
<strong>of</strong>
Squares
and
Rectangles
<br />

12‐1
:
Finding
Perimeter
and
Area
<strong>of</strong>
Squares
and
Rectangles
<br />

Unit
13
:
Perimeter
and
Area
<strong>of</strong>
Parallelograms
<br />

13‐1
:
Finding
Perimeter
and
Area
<strong>of</strong>
Parallelograms
<br />

Unit
14
:
Perimeter
and
Area
<strong>of</strong>
Triangles
<br />

14‐1
:
Finding
Perimeter
and
Area
<strong>of</strong>
Triangles
<br />

Unit
15
:
Perimeter
and
Area
<strong>of</strong>
Trapezoids
<br />

15‐1
:
Finding
Perimeter
and
Area
<strong>of</strong>
Trapezoids
<br />

Unit
16
:
Circumference
and
Area
<strong>of</strong>
Circles
<br />

16‐1
:
Finding
Circumference
and
Area
<strong>of</strong>
Circles
<br />

Unit
17
:
Area
Composition
<br />

17‐1
:
Finding
Area
<strong>of</strong>
Composite
Figures
<br />

Unit
18
:
Perimeter
and
Area
<strong>of</strong>
Regular
Polygons
<br />

18‐1
:
Finding
Perimeter
and
Area
<strong>of</strong>
Regular
Polygons
<br />


<br />

Unit
19
:
Pythagorean
Theorem
<br />

19‐1
:
Finding
the
Length
<strong>of</strong>
the
Hypotenuse
<strong>of</strong>
a
Right
Triangle
<br />

©
Copyright
2009
Carnegie
Learning,
Inc.



19‐2
:
Finding
the
Length
<strong>of</strong>
a
Leg
<strong>of</strong>
a
Right
Triangle
<br />

19‐3
:
Using
the
Pythagorean
Theorem
<br />

Unit
20
:
Special
Right
Triangles
<br />

20‐1
:
Finding
the
Lengths
<strong>of</strong>
Sides
<strong>of</strong>
a
45‐45‐90
Triangle
<br />

20‐2
:
Finding
the
Lengths
<strong>of</strong>
Sides
<strong>of</strong>
a
30‐60‐90
Triangle
<br />

Unit
21
:
Right
Triangles
and
Trigonometric
Functions
<br />

21‐1
:
Finding
Side
Lengths
using
a
Given
Trigonometric
Function
<br />

21‐2
:
Finding
Side
Lengths
using
One
Trigonometric
Function
<br />

21‐3
:
Finding
Side
Lengths
using
Multiple
Trigonometric
Functions
<br />

Unit
22
:
Quadratic
Models
and
Area
<br />

22‐1
:
Modeling
Quadratic
Functions
as
Area
<br />

Unit
23
:
Quadratic
Expression
Factoring
<br />

23‐1
:
Factoring
Trinomials
with
Positive
Constants
and
Coefficients
<strong>of</strong>
One
<br />

23‐2
:
Factoring
Trinomials
with
Negative
Constants
and
Coefficients
<strong>of</strong>
One
<br />

23‐3
:
Factoring
Trinomials
with
Positive
Constants
and
Coefficients
Other
than
One
<br />

23‐4
:
Factoring
Trinomials
with
Negative
Constants
and
Coefficients
Other
than
One
<br />

23‐5
:
Factoring
using
Difference
<strong>of</strong>
Squares
<br />

23‐6
:
Factoring
Quadratic
Expressions
<br />

Unit
24
:
Quadratic
Equation
Solving
<br />

24‐1
:
Solving
Quadratic
Equations
<br />

Unit
25
:
Quadratic
Models
and
Vertical
Motion
<br />

25‐1
:
Using
the
Vertical
Motion
Model
<br />

Unit
26
:
Measures
<strong>of</strong>
Central
Tendency
<br />

26‐1
:
Finding
Mean,
Median,
Mode,
and
Range
<br />

26‐2
:
Determining
Appropriate
Measures
<br />

26‐3
:
Measuring
the
Effects
<strong>of</strong>
Changing
Data
Sets
<br />

26‐4
:
Finding
a
Data
Value
Given
a
Mean
<br />

Unit
27
:
Single
Event
Probability
<br />

27‐1
:
Finding
Simple
Probabilities
<br />

27‐2
:
Finding
Disjoint
Probabilities
<br />

27‐3
:
Finding
Theoretical
and
Experimental
Probabilities
<br />

©
Copyright
2009
Carnegie
Learning,
Inc.



Unit
28
:
Independent
and
Dependent
Probabilities
<br />

28‐1
:
Finding
the
Sample
Space
for
Independent
Events
<br />

28‐2
:
Finding
the
Sample
Space
for
Dependent
Events
<br />

28‐3
:
Finding
the
Sample
Space
for
Independent
and
Dependent
Events
<br />

28‐4
:
Finding
Compound
Probabilities
<br />

Unit
29
:
Graphing
Using
Slope
and
Y‐Intercept
B
<br />

29‐1
:
Modeling
with
Intercepts
<strong>of</strong>
Zero
<br />

29‐2
:
Modeling
with
Fractional
Slopes
<br />

29‐3
:
Modeling
with
Large
Numbers
<br />

Unit
30
:
Finding
Equations
<strong>of</strong>
a
Line
<br />

30‐1
:
Modeling
Given
Slope
and
a
Point
<br />

30‐2
:
Finding
Slopes
<br />

30‐3
:
Modeling
given
Two
Points
<br />

30‐4
:
Modeling
Parallel
and
Perpendicular
Lines
<br />

30‐5
:
Modeling
Given
an
Initial
Point
<br />

Unit
31
:
Systems
<strong>of</strong>
Linear
Equations
Modeling
<br />

31‐1
:
Solving
Linear
Systems
using
Integers
<br />

31‐2
:
Solving
Linear
Systems
using
Decimals
<br />

Unit
32
:
Linear
and
Quadratic
Transformations
<br />

32‐1
:
Shifting
Vertically
<br />

32‐2
:
Reflecting
and
Dilating
using
Graphs
<br />

32‐3
:
Shifting
Horizontally
<br />

32‐4
:
Transformations
using
<strong>Table</strong>s
<strong>of</strong>
Values
<br />

32‐5
:
Using
Multiple
Transformations
<br />

©
Copyright
2009
Carnegie
Learning,
Inc.


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