Algebra 1 EOC Study Guide: June 2012, Draft #1 (Hafferty/Leake)
Table of Contents
Chapter 1: Number, operations, expression and variable
A
B
C
D
E
F
Compare & Order Real Numbers
Evaluate expressions with variables
Use properties of exponents to simplify
Simplify square and cube roots
Evaluate algebraic expressions
Solve for a variable in an equation
Chapter 2: Characteristics and behaviors of linear and non-linear functions
A
B,C,D
E
F
G
H
I
J
K
L
M
N
O
P
Relations and Functions
Not written yet
Multiple representations (symbolic, graph, table, words)
Make Connections (Linear & Exponential)
Make Connections(Quadratic & Absolute Value)
Function notation ( Find f(x) at x = a)
Function notation (Solve for x if f(x)=b)
Select and justify functions (to model and solve problems)
Solve problems (that can be modeled with exponential functions)
Sketch the graph (exponential)
Describe the effect that changes in parameter have on the graph (exponential)
Find and approximate solutions (Exponential Equations).
Recursive & Explicit equations for arithmetic & geometric sequences
Describe the effect that changes in parameter have on the graph (absolute vale)
Chapter 3: Linear Equations and Inequalities
A
B
C
D
E
F
G
H
I
J
K
L
Write and Solve Linear Equations
Write an equation for a line and graph a line
Write equations for horizontal and vertical lines
Translate between forms of linear equations
Interpret Slope and intercepts
Parallel & perpendicular lines
Write & Solve systems of two linear equations
Changing parameters of linear equations
Not finished (practice problems need to be added)
Solve problems with linear equations and Solve problems with linear inequalities
Solve problems with systems of linear equations
Not written yet
Chapter 4: Data and Statistics
A
B-I
Summary Statistics
Not written yet
APPENDIX
Chapter 1: Number, operations, expression and variable:
5-8 Questions (37 Total)
6-8 Points
(40 Total)
State Standards Assessed:
A1.2.A
A1.2.B
A1.2.C
A1.7.D
A1.8 A-G (Problem Solving)
Bainbridge (A2, A7) Numbers & Operations
File
Name
Ch1 A
& Description
Compare & Order Real
Numbers
State
Strand
A1.2.A
Ch1 B
Evaluate expressions with
variables
A1.2.B
Ch1 C
Use properties of exponents
to simplify
A1.2.C
Ch1 D
Simplify square and cube
roots
Evaluate algebraic
expressions &
Ch1 E
Ch1 F
Solve for a variable in an
equation
A1.2.B
A1.7.D
Item Specification
Know the relationship between real numbers and the number line,
and compare and order real numbers with and without the number
line.
Recognize the multiple uses of variables, determine all possible
values of variables that satisfy prescribed conditions, and evaluate
algebraic expressions that involve variables.
Interpret and use integer exponents and apply the laws and
properties of exponents to simplify and evaluate exponential
expressions.
Interpret and use square and cube roots
Recognize the multiple uses of variables, determine all possible
values of variables that satisfy prescribed conditions, and evaluate
algebraic expressions that involve variables.
Solve an equation involving several variables by expressing one
variable in terms of the others.
For example: Solve for L in A =LW
APPENDIX
Chapter 2: Characteristics and behaviors of linear and non-linear functions
10-12 Questions (37 Total)
11-13 Points
(40 Total)
State Standards Assessed:
A1.1.A (may include exponential models)
A1.1.E (may include exponential models)
A1.3.A
A1.3.B
A1.3.C
A1.4.E
A1.7.A
A1.7.B
A1.7.C
A1.8 A-G (Problem Solving
Bainbridge (A3) Function Characteristics 11-13 questions
File
Name
Ch2 A
Item Specification
& Description
State
Strand
Relations and Functions
A1.3.A
Determine whether a relationship is a function and identify the
domain, range, roots, and independent and dependent variables.
Ch2 B
Domain, range, finding
roots
A1.3.A
Determine whether a relationship is a function and identify the
domain, range, roots, and independent and dependent variables.
Ch2 C
Functions defined
piecewise
Independent, dependent
variables
Ch2 D
Ch2 E
Ch2 F
Ch2 G
Multiple representations
(symbolic, graph, table,
words)
Make Connections
(Linear & Exponential)

Make Connections
(Quadratic & Absolute
Value)
Function notation
( Find f(x) at x = a)
Function notation
(Solve for x if f(x)=b)
Ch2 B is not written yet

Ch2 C is not written yet.

Ch2 D is not written yet.
Ch2 H
Ch2 I
A1.3.A
A1.3.B
A1.3.B
A1.3.B
A1.3.C
In the notes it says, step functions will be described verbally or
graphically not symbolically
Determine whether a relationship is a function and identify the
domain, range, roots, and independent and dependent variables.
Represent a function with a symbolic expression, as a graph, in a
table, and using words, and make connections among these
representations.
Represent a function with a symbolic expression, as a graph, in a
table, and using words, and make connections among these
representations.
Represent a function with a symbolic expression, as a graph, in a
table, and using words, and make connections among these
representations.
Evaluate f(x) at x=a
Solve for x in the equation f(x)=b
APPENDIX
Chapter 2: Characteristics and behaviors of linear and non-linear functions (continued)
File
Name
Ch2 J
Ch2 K
Ch2 L
Ch2 M
Ch2 N
Ch2 O
Ch2 P

& Description
Select and justify
functions (to model and
solve problems)
Solve problems (that can
be modeled with
exponential functions)
Sketch the graph
(exponential)
State
Strand
A.1.1.A
Item Specification
A.1.1.E
Solve problems that can be represented by exponential functions
and equations
A.1.7.A
Sketch the graph for an exponential function of the form y=ab^x
where n is an integer.
Answer questions that arise in situations that arise in situations
modeled by exponential functions.
Describe the effects that changes in the parameter of
exponential functions have on the graph.
Select and justify functions and equations to model and solve
problems
Describe the effect that
A.1.7.A
changes in parameter
have on the graph
(exponential)
Find and approximate
A1.7.B
Find and approximate solutions to exponential equations
solutions (Exponential
A1.7.C
Equations).
Recursive & Explicit
Express arithmetic and geometric sequences in both explicit &
equations for arithmetic
recursive forms (& use the forms to find specific terms in the
& geometric sequences
sequence).
Describe the effect that
A1.4.E
Describe how changes in the parameters of linear functions and
changes in parameter
functions containing an absolute value of a linear expression
have on the graph
affect their graphs and the relationships they represent.
(absolute vale)
Note: A.1.7.A (answer questions) is practiced in the A1.1.E (solve problems) EOC review
APPENDIX
Chapter 3: Linear Equations and Inequalities:
10-12 Questions (37 Total)
11-13 Points
(40 Total)
State Standards Assessed:
A1.1.B
A1.1.C
A1.4.A
A1.4.C
A1.4.D
A1.8 A-G (Problem Solving)
Bainbridge Island (A4) Linear Functions & Inequalities
File
Name
State
Strand
Item Specification
A1.4.A
Write and Solve linear equations and inequalities in one variable
A1.4.B
Ch3 B
Write and Solve Linear
Equations
Write an equation for a line
and graph a line
Write equations for
horizontal and vertical lines
A1.4.B
Ch3 C
Write and graph an equation for a line given the slope and the
y-intercept, the slope and a point on the line, or two points on
the line, and translate between forms of linear equations.
Write and graph an equation for a line given the slope and the
y-intercept, the slope and a point on the line, or two points on
the line, and translate between forms of linear equations.
Translate between forms of
linear equations
A1.4.B
Ch3 D
Interpret Slope and
intercepts
A1.4.C
Ch3 E
Parallel & perpendicular
lines
A1.4.C
Ch3 F
Write & Solve systems of
two linear equations
A1.4.D
Ch3 G
Ch3 H
Changing parameters of
linear equations
A1.4.E
or
A1.4.A
Graphing inequalities
A1.1.C
Solve problems with linear
equations and Solve
problems with linear
inequalities
Solve problems with
systems of linear equations
Solve systems of two linear
inequalities
A1.1.B
Ch3 A
Ch3 I
Ch3 J
Ch3 K
Ch3 L
& Description
A1.1.C
A1.1.C
Write and graph an equation for a line given the slope and the
y-intercept, the slope and a point on the line, or two points on
the line, and translate between forms of linear equations.
Identify and interpret the slope and intercepts of a linear
function, including equations for parallel and perpendicular
lines
Identify and interpret the slope and intercepts of a linear
function, including equations for parallel and perpendicular
lines
Write and solve systems of two linear equations and
inequalities in two variables.
Describe how changes in the parameters of linear functions and
functions containing an absolute value of a linear expression
affect their graphs and the relationships they represent.
or
Write and solve linear equations in one variable. (in the notes it
says it can include absolute value).
Solve problems that can be represented by a system of two
linear equations or inequalities
Solve problems that can be represented by linear functions,
equations and inequalities
Solve problems that can be represented by a system of two
linear equations or inequalities
Solve problems that can be represented by a system of two
linear equations or inequalities
*Ch3 L has not been written – systems of inequalities,
* Ch3 C horizontal and vertical inequalities could be added to Ch3 C
* Ch 3 I – is not finished practice problems need to be added
APPENDIX
Chapter 4: Data and Statistics :
5-7 Questions (37 Total)
6-8 Points
(40 Total)
State Standards Assessed:
A1.6.A
A1.6.B
A1.6.C
A1.6.D
A1.6.E
A.1.8 A-G (Problem Solving)
Bainbridge Island (A6) Data Analysis
File
Name
& Description
State
Strand
Item Specification
Use and evaluate the accuracy of summary statistics to describe
and compare data sets.
Make valid inferences and draw conclusions based on data.
Summary Statistics
A1.6.A
Ch4 A
Ch4 B
Valid Inferences
A1.6.B
Ch4 C
Univariate Data
A1.6.C
Ch4 D
Linear
Transformations
A1.6.C
Ch4 E
Effect on Center &
Spread
A1.6.C
Describe how linear transformations affect the center and spread
of univariate data.
Ch4 F
Fit an equation to a
line
A1.6.D
Ch4 G
Best fit lines
A1.6.D
Ch4 H
Predicting from data
A1.6.D
Ch4 I
Correlation of data in
Scatter plots
A1.6.E
Find the equation of a linear function that best fits bivariate data
that are linearly related, interpret the slope and y-intercept of
the line, and use the equation to make predictions.
Find the equation of a linear function that best fits bivariate data
that are linearly related, interpret the slope and y-intercept of
the line, and use the equation to make predictions.
Find the equation of a linear function that best fits bivariate data
that are linearly related, interpret the slope and y-intercept of
the line, and use the equation to make predictions.
Describe the correlation of data in scatter plots in terms of strong
or weak and positive or negative.
Describe how linear transformations affect the center and spread
of univariate data.
Describe how linear transformations affect the center and spread
of univariate data.
Bainbridge Island Review Questions:
APPENDIX
(A2, A7) Numbers & Operations 6-8 questions
1. Compare & Order Real Numbers
2. Evaluate expressions with variables
3. Exponents, roots, use properties to evaluate
4. Evaluate Algebraic Expressions
5. Solving equations with several variables: ex. (A = prt)
(A3) Function Characteristics 11-13 questions
6. Relations and Functions
7. Domain, range, finding roots
8. Functions defined piecewise
9. Independent, dependent variables
10. Multiple representations: symbolic, graph, table, words
11. Connections between representations
12. Evaluate f(x) at a, solving f(x)
13. Select and justify functions and equations to model and solve problems
14. Solve problems that can be represented by exponential functions and equations
15. Exponential Function models and graphs
16a. Approximate the solution to an exponential equations
16b. Express Arithmetic & Geometric both as recursive and explicit formula
17. Describe how the parameters of linear functions and absolute value affect their graphs.
(A4) Linear Functions & Inequalities 11-13 questions
18a. Solve Linear Equations
18b. Write Linear Equations
19a. Write a Linear Equation
19b Graph horizontal and vertical lines
19c. Graph a Linear Equation
20. Point slope forms, translate between
21. Interpret Slope and intercepts
22. Parallel & perpendicular lines
23. Write & Solve systems of two linear equations
24. Absolute value in equations
25. Graphing Absolute value
26. Solve problems that can e represented by linear functions, equations and inequalities
27. Solve problems that can be represented by a system of linear equations and inequalities.
(A6) Data Analysis 6-8 questions
28. Summary Statistics
29. Valid Inferences
30. Univariate Data
31. Linear Transformations
32. Effect on Center & Spread
33. Fit an equation to a line
34. Best fit lines
35. Predicting from data