Algebra 1 EOC Study Guide: June 2012, Draft #1 (Hafferty/Leake)

Table of Contents

Chapter 1: Number, operations, expression and variable

A / Compare & Order Real Numbers
B / Evaluate expressions with variables
C / Use properties of exponents to simplify
D / Simplify square and cube roots
E / Evaluate algebraic expressions
F / Solve for a variable in an equation

Chapter 2: Characteristics and behaviors of linear and non-linear functions

A / Relations and Functions
B,C,D / Not written yet
E / Multiple representations (symbolic, graph, table, words)
F / Make Connections (Linear & Exponential)
G / Make Connections(Quadratic & Absolute Value)
H / Function notation ( Find f(x) at x = a)
I / Function notation (Solve for x if f(x)=b)
J / Select and justify functions (to model and solve problems)
K / Solve problems (that can be modeled with exponential functions)
L / Sketch the graph (exponential)
M / Describe the effect that changes in parameter have on the graph (exponential)
N / Find and approximate solutions (Exponential Equations).
O / Recursive & Explicit equations for arithmetic & geometric sequences
P / Describe the effect that changes in parameter have on the graph (absolute vale)

Chapter 3: Linear Equations and Inequalities

A / Write and Solve Linear Equations
B / Write an equation for a line and graph a line
C / Write equations for horizontal and vertical lines
D / Translate between forms of linear equations
E / Interpret Slope and intercepts
F / Parallel & perpendicular lines
G / Write & Solve systems of two linear equations
H / Changing parameters of linear equations
I / Not finished (practice problems need to be added)
J / Solve problems with linear equations and Solve problems with linear inequalities
K / Solve problems with systems of linear equations
L / Not written yet

Chapter 4: Data and Statistics

A / Summary Statistics
B-I / 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 / & Description / State Strand / Item Specification
Ch1 A / Compare & Order Real Numbers / A1.2.A / Know the relationship between real numbers and the number line, and compare and order real numbers with and without the number line.
Ch1 B / Evaluate expressions with variables / A1.2.B / Recognize the multiple uses of variables, determine all possible values of variables that satisfy prescribed conditions, and evaluate algebraic expressions that involve variables.
Ch1 C / Use properties of exponents to simplify / A1.2.C / Interpret and use integer exponents and apply the laws and properties of exponents to simplify and evaluate exponential expressions.
Ch1 D / Simplify square and cube roots / Interpret and use square and cube roots
Ch1 E / Evaluate algebraic expressions / A1.2.B / Recognize the multiple uses of variables, determine all possible values of variables that satisfy prescribed conditions, and evaluate algebraic expressions that involve variables.
Ch1 F / Solve for a variable in an equation / A1.7.D / 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 / & Description / State Strand / Item Specification
Ch2 A / 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 / In the notes it says, step functions will be described verbally or graphically not symbolically
Ch2 D / Independent, dependent variables / A1.3.A / Determine whether a relationship is a function and identify the domain, range, roots, and independent and dependent variables.
Ch2 E / Multiple representations (symbolic, graph, table, words) / A1.3.B / Represent a function with a symbolic expression, as a graph, in a table, and using words, and make connections among these representations.
Ch2 F / Make Connections
(Linear & Exponential) / A1.3.B / Represent a function with a symbolic expression, as a graph, in a table, and using words, and make connections among these representations.
Ch2 G / Make Connections
(Quadratic & Absolute Value) / A1.3.B / Represent a function with a symbolic expression, as a graph, in a table, and using words, and make connections among these representations.
Ch2 H / Function notation
( Find f(x) at x = a) / A1.3.C / Evaluate f(x) at x=a
Ch2 I / Function notation
(Solve for x if f(x)=b) / Solve for x in the equation f(x)=b
  • Ch2 B is not written yet
  • Ch2 C is not written yet.
  • Ch2 D is not written yet.

APPENDIX

Chapter 2: Characteristics and behaviors of linear and non-linear functions (continued)

File Name / & Description / State Strand / Item Specification
Ch2 J / Select and justify functions (to model and solve problems) / A.1.1.A / Select and justify functions and equations to model and solve problems
Ch2 K / Solve problems (that can be modeled with exponential functions) / A.1.1.E / Solve problems that can be represented by exponential functions and equations
Ch2 L / Sketch the graph (exponential) / 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.
Ch2 M / Describe the effect that changes in parameter have on the graph (exponential) / A.1.7.A / Describe the effects that changes in the parameter of exponential functions have on the graph.
Ch2 N / Find and approximate solutions (Exponential Equations). / A1.7.B
A1.7.C / Find and approximate solutions to exponential equations
Ch2 O / Recursive & Explicit equations for arithmetic & geometric sequences / Express arithmetic and geometric sequences in both explicit & recursive forms (& use the forms to find specific terms in the sequence).
Ch2 P / Describe the effect that changes in parameter have on the graph (absolute vale) / A1.4.E / 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.
  • 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.BA1.4.C

A1.1.CA1.4.D

A1.4.AA1.8 A-G (Problem Solving)

Bainbridge Island (A4) Linear Functions & Inequalities

File Name / & Description / State Strand / Item Specification
Ch3 A / Write and Solve Linear Equations / A1.4.A / Write and Solve linear equations and inequalities in one variable
Ch3 B / Write an equation for a line and graph a line / A1.4.B / 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.
Ch3 C / Write equations for horizontal and vertical lines / A1.4.B / 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.
Ch3 D / Translate between forms of linear equations / A1.4.B / 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.
Ch3 E / Interpret Slope and intercepts / A1.4.C / Identify and interpret the slope and intercepts of a linear function, including equations for parallel and perpendicular lines
Ch3 F / Parallel & perpendicular lines / A1.4.C / Identify and interpret the slope and intercepts of a linear function, including equations for parallel and perpendicular lines
Ch3 G / Write & Solve systems of two linear equations / A1.4.D / Write and solve systems of two linear equations and inequalities in two variables.
Ch3 H / Changing parameters of linear equations / A1.4.E
or A1.4.A / 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).
Ch3 I / Graphing inequalities / A1.1.C / Solve problems that can be represented by a system of two linear equations or inequalities
Ch3 J / Solve problems with linear equations and Solve problems with linear inequalities / A1.1.B / Solve problems that can be represented by linear functions, equations and inequalities
Ch3 K / Solve problems with systems of linear equations / A1.1.C / Solve problems that can be represented by a system of two linear equations or inequalities
Ch3 L / Solve systems of two linear inequalities / A1.1.C / 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
Ch4 A / Summary Statistics / A1.6.A / Use and evaluate the accuracy of summary statistics to describe and compare data sets.
Ch4 B / Valid Inferences / A1.6.B / Make valid inferences and draw conclusions based on data.
Ch4 C / Univariate Data / A1.6.C / Describe how linear transformations affect the center and spread of univariate data.
Ch4 D / Linear Transformations / A1.6.C / Describe how linear transformations affect the center and spread of univariate data.
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 / 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.
Ch4 G / Best fit lines / A1.6.D / 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.
Ch4 H / Predicting from data / A1.6.D / 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.
Ch4 I / Correlation of data in Scatter plots / A1.6.E / Describe the correlation of data in scatter plots in terms of strong or weak and positive or negative.
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