Algebra 2 Semester Exam Study Guide – 2016-17
General Information
The Algebra 2 Semester Exam will cover topics from the first 4½ units in the scope and
sequence. *
• There are 30 items on the assessment, broken into two sections.
• Not all the standards in the units have an item on the semester exam.
• Calculators are allowed on each section.
• The items are multiple choice and multi-select.
General Resources:
• The common unit assessments could be used in class to review any specific standards or issues.
• Math Nation – Algebra 2 is an excellent resource to review the content (see below).
• Another helpful resource is: http://escambiaschools.net/Math/Algebra2. Follow the links on the
left of the page for standard-specific resources and practice items.
• CPALMS.org also has resources sorted by standards (see back page for specific standards).
•
Unit Information and Resources
Unit 1: Probability
• There are 6 items on the exam covering 6 of the standards in this unit.
• A useful resource is Math Nation – Algebra 2, Section 11, Topics 1-8
• Another helpful resource for this unit is the website
http://www.geometrycommoncore.com/content/unit6/gcp/gcpoverview.html. Follow the links
under the tab Unit #6 for each of the standards in this unit. The “Notes” are especially helpful!
Unit 2: Statistics and Data Analysis
• There are 6 items on the exam covering 6 of the standards in this unit.
• A useful resource is Math Nation – Algebra 2, Section 12, Topics 1-6
Unit 3: General Linear Functions with Graphing and Modeling
• There are 6 items on the exam covering 6 of the standards in this unit.
• A useful resource is Math Nation – Algebra 2, Section 2, Topics 1-11 and Section 3, Topics 1-7
Unit 4: Quadratics Functions with Graphing and Modeling
• There are 10 items on the exam covering 10 of the standards in this unit.
• A useful resource is Math Nation – Algebra 2, Section 4, Topics 1-9 and Section 5, Topics 1-12
Unit 5: Polynomial Operations and Graphing
• There are 2 items on the exam covering 1 of the standards in this unit.
• A useful resource is Math Nation – Algebra 2, Section 1, Topic 1
Reporting Category Information
Reporting Category 1: (33% of the Semester Exam) – Algebra and Modeling
Reporting Category 2: (20% of the Semester Exam) – Functions and Modeling
Reporting Category 3: (47% of the Semester Exam) – Statistics, Probability, and the Number System
* Unit 5 is split between semesters 1 & 2 (December and January), so only one standard will be assessed
from this unit.
Algebra 2 Semester Exam Study Guide – by Unit and Standard
Unit 1: Probability – Students will be able to calculate and understand the probability of an event occurring.
MAFS.912.S-CP.1.1 • Understand how probabilities of events are influenced by unions, intersections, or
complements of other events (“or”, “and”, “not”)
MAFS.912.S-CP.1.2 • Know how to determine if two events are independent: 𝑃𝑃(𝐴𝐴 and 𝐵𝐵) = 𝑃𝑃(𝐴𝐴) ∙ 𝑃𝑃(𝐵𝐵)
MAFS.912.S-CP.1.3 • Determine if two events are independent using conditional probability:
MAFS.912.S-CP.1.4
MAFS.912.S-CP.2.6
𝑃𝑃(𝐴𝐴|𝐵𝐵) =
𝑃𝑃(𝐴𝐴 and 𝐵𝐵)
𝑃𝑃(𝐵𝐵)
• Use two-way tables to determine if events are independent or to approximate
conditional probabilities
• Find and interpret the conditional probability using outcomes: 𝑃𝑃(𝐴𝐴|𝐵𝐵) =
𝑛𝑛(𝐴𝐴 and 𝐵𝐵)
𝑛𝑛(𝐵𝐵)
MAFS.912.S-CP.2.7 • Apply the Addition Rule: 𝑃𝑃(𝐴𝐴 or 𝐵𝐵) = 𝑃𝑃(𝐴𝐴) + 𝑃𝑃(𝐵𝐵) − 𝑃𝑃(𝐴𝐴 and 𝐵𝐵)
Unit 2: Statistics and Data Analysis – Students will be able to make inferences and justify conclusions about
statistical experiments.
MAFS.912.S-IC.1.2 • Decide if a model/situation is consistent with results from a simulation
MAFS.912.S-IC.2.3 • Recognize the purposes and differences among sample surveys, experiments, and
observational studies
MAFS.912.S-IC.2.4 • Using data from a sample survey, create a confidence interval (margin of error),
estimate a population mean, or estimate a proportion
MAFS.912.S-IC.2.5 • Use data from a randomized experiment and simulations to compare two treatments
and to decide if differences between parameters are significant
MAFS.912.S-IC.2.6 • Use data parameters (mean, p-value, alpha levels) to evaluate hypotheses
MAFS.912.S-ID.1.4 • Use the mean & standard deviation of a data set to estimate population percentages
and probabilities
Unit 3: General Linear Functions with Graphing and Modeling – Students will be able to construct, interpret,
and solve linear functions.
MAFS.912.F-LE.2.5
• Interpret the parameters of a linear function in context (slope, x & y-intercepts)
MAFS.912.A-REI.3.6
• Solve systems of linear equations, with rational coefficients
MAFS.912.F-IF.3.9
• Compare properties of two functions (linear or absolute value) represented differently
MAFS.912.A-REI.4.11 • Use a table and successive approximations to find the solution to f(x)=g(x)
MAFS.912.A-CED.1.3 • Represent constraints in a real-world context by a system of inequalities
MAFS.912.F-BF.2.4
• Verify by composition that one function is the inverse of another
Unit 4: Quadratics Functions with Graphing and Modeling – Students will be able to construct, interpret, and
solve quadratic functions.
MAFS.912.A-REI.3.7
• Solve a system of a linear and quadratic equation algebraically
MAFS.912.A-REI.2.4
• Complete the square of a quadratic equation to convert to the form (𝑥𝑥 − 𝑝𝑝)2 = 𝑞𝑞
MAFS.912.N-CN.1.1
• Use the fact that 𝑖𝑖 2 = −1 to identify the proper 𝑎𝑎 + 𝑏𝑏𝑏𝑏 form of a complex number
MAFS.912.N-CN.1.2
• Use 𝑖𝑖 2 = −1 and the comm., assoc., & dist. properties to +, –, & × complex numbers
MAFS.912.N-CN.3.7
• Solve quadratic equations that have complex solutions
MAFS.912.F-IF.3.7 a,b • Graph quadratic functions and show intercepts, maxima, and minima
MAFS.912.F-BF.2.3
• Identify how a quadratic function is transformed from the parent function
MAFS.912.F-IF.2.6
• Find the average rate of change of a quadratic function over a specified interval
MAFS.912.A-REI.1.1
• Find the error in a given solution of a quadratic equation
MAFS.912.A-CED.1.4 • Rearrange a formula to highlight a quantity of interest
Unit 5: Polynomial Operations and Graphing – Students will be able to construct, interpret, and solve
polynomial functions.
MAFS.912.A-APR.1.1 • Add and subtract polynomials
• Understand the closure of polynomials under addition and subtraction