Algebra II Syllabus
 
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Curriculum Coverage in Mathematics for the 2015-16 School Year as Outlined by TNCore (TN transition to Common Core)

 

The following Dropped SPIs will NOT appear on the 2015-2016 EOC Exam.

 

Algebra II Dropped SPI’s:

SPI 3103.2.1 Describe any number in the complex number system.

SPI 3103.4.3 Describe and articulate the characteristics and parameters of parent trigonometric functions to solve contextual problems.

SPI 3103.3.6 Combine functions (such as polynomial, rational, radical and absolute value expressions) by addition, subtraction, multiplication, division, or by composition and evaluate at specified values of their variables.

SPI 3103.3.10 Identify and/or graph a variety of functions and their transformations.

SPI 3103.3.11 Graph conic sections (circles, parabolas, ellipses and hyperbolas) and understand the relationship between the standard form and the key characteristics of the graph.

SPI 3103.3.14 Solve problems involving the binomial theorem and its connection to Pascal’s Triangle, combinatorics, and probability.

SPI 3103.5.6 Find the regression curve that best fits both linear and nonlinear data (using technology such as a graphing calculator) and use it to make predictions.

 

TNCore recommends the following:

  • Stop teaching the dropped SPIs
  • Spend 60-75% of the year on the TNCore Focus Clusters listed below (The Focus Clusters are identified in red throughout the map.)

NRN Extend the properties of exponents to rational exponents (1, 2)

ASSE Write expressions in equivalent forms to solve problems (3c, 4)

AAPR Understand the relationship between zeros and factors of polynomials (2, 3)

FBF Build a function that models a relationship between two quantities (1a and 1b, 2)

Mathematical Modeling is a Standard for Mathematical Practice (MP4) and a Conceptual Category, and specific modeling standards appear throughout the high school standards indicated with a star (). Where an entire cluster is marked with a star, each standard in that cluster is a modeling standard.

 

 

The Standards for Mathematical Practice

MP1. Make sense of problems and persevere in solving them.

MP2. Reason abstractly and quantitatively.

MP3. Construct viable arguments and critique the reasoning of others.

MP4. Model with mathematics.

MP5. Use appropriate tools strategically.

MP6. Attend to precision.

MP7. Look for and make use of structure.

MP8. Look for and express regularity in repeated reasoning.

 

 

PARCC

Partnership for Assessment of Readiness for College and Careers (PARCC) committed to developing model content frameworks for mathematics to serve as a bridge between the Common Core State Standards and the PARCC assessments.  The 2013-14 school year is the final year to prepare for the PARCC assessment, which will replace TCAP/EOC in 2014-15.  Constructed Response Assessments (CRA) will be administered in grades 1 through 8, as well as Algebra I, Algebra II, and Geometry.

 

Course emphases for PARCC Assessments are indicated by:   

  • Major Content         
  • pSupporting Content
  • Additional Content
  • (RS)  Review Standard from Algebra I, but not directly assessed on the Algebra II PARCC

 

The high school standards specify the mathematics that all students should study in order to be college and career ready. Additional mathematics that students should learn in order to take advanced courses such as calculus, advanced statistics, or discrete mathematics is indicated by (+), as in this example:

(+) Represent complex numbers on the complex plane in rectangular and polar form (including real and imaginary numbers).

All standards without a (+) symbol should be in the common mathematics curriculum for all college and career ready students. Standards with a (+) symbol may also appear in courses intended for all students, but will not be directly assessed through PARCC.

 

 

*Note for Algebra II Curriculum Guide: 

Sections from the Glencoe Textbook listed as Optional for 2013-2014 contain dropped SPIs that will NOT be assessed on the 2013-2014 EOC Test.  If the optional sections do not contain prerequisite or review standards, then teachers may need to adjust their pacing to include only tested concepts for the EOC Test, and then use time after the EOC in May to include some of the optional sections.  Many of these sections still contain important concepts that students need for the ACT Test.  All Juniors in Tennessee will take the ACT in early March.

 

Common Core State Standards

State Performance Indicators (SPIs)

Content & Tasks

Chapter 1: Equations and Inequalities

(Allow 2 weeks for instruction, review, and assessment)

  • ASSE.1a Interpret the structure of expressions (RS)
  • ASSE.1b Interpret the structure of expressions (RS)

 

SPI 3103.1.1 Move flexibly between multiple representations (contextual, physical, written, verbal, iconic/pictorial, graphical, tabular, and symbolic) of non-linear and transcendental functions to solve problems, to model mathematical ideas, and to communicate solution strategies.

Section 1-1: Expressions and Formulas

 

 

  • ASSE.2 Interpret the structure of expressions

SPI 3103.2.2 Compute with all real and complex numbers.

Section 1-2: Properties of Real Numbers

 

Resources/Activities

LESSON: Classifying Complex Numbers

LESSON: Complex Number Properties.

RESOURCE: Complex Numbers.

  • pACED.1 Create equations that describe numbers or relationships
  • ACED.4 Create equations that describe numbers or relationships (RS)
  • AREI.1 Understand solving equations as a process of reasoning and explain the reasoning
  • AREI.3 Solve equations and inequalities in one variable (RS)

SPI 3103.1.1 (See Lesson 1-1)

SPI 3103.2.3 Use the number system, from real to complex, to solve equations and contextual problems.

Section 1-3: Solving Equations

 

 

 

  • ACED.3 Create equations that describe numbers or relationships (RS)
  • ASSE.1b (See Lesson 1-1) (RS)

SPI 3103.2.3 (See Lesson 1-3)

 

Section 1-4: Solving Absolute Value Equations

 

 

 

Section 1-5: Solving Inequalities (*Optional for 2013/2014)

 

 

 

Section 1-6: Solving Compound and Absolute Value Inequalities (*Optional for 2013/2014)

 

ENRICHMENT RESOURCE: Absolute Value Inequalities

RESOURCES: Absolute Value

Absolute Value Equations and Inequalities

Chapter 2 - Linear Relations and Functions

(Allow 3 weeks for instruction, review, and assessment)

  • FIF.1 Understand the concept of a function and use function notation (RS)
  • FIF.2 Understand the concept of a function and use function notation (RS)
  • FIF.4 Interpret functions that arise in applications in terms of the context
  • FIF.5 Interpret functions that arise in applications in terms of the context (RS)
  • FIF.7a Analyze functions using different representations (RS)

SPI 3103.3.5 Describe the domain and range of functions and articulate restrictions imposed either by the operations or by the contextual situations which the functions represent.

Section 2-1: Relations and Functions

 

Resources/Activities

LESSON: Domain Representations.

 

 

 

  • ASSE.1b (See Lesson 1-1) (RS)
  • FLE.1 Construct and compare linear, quadratic, and exponential models and solve problems (RS)
  • pFLE.2 Construct and compare linear, quadratic, and exponential models and solve problems
  • pFIF.9 Analyze functions using different representations

SPI 3103.3.5 (See Lesson 2-1)

Section 2-2: Linear Relations and Functions

 

Resources/Activities

ENRICHMENT: Armstrong Numbers

 

 

  • FIF.4 (See Lesson 2-1)
  • FIF.6 Interpret functions that arise in applications in terms of the context
  • FLE.1b Construct and compare linear, quadratic, and exponential models and solve problems (RS)
  • ACED.2 Create equations that describe numbers or relationships (RS)

 

Section 2-3: Rate of Change and Slope (*Optional for 2013/2014)

 

 

 

 

Section 2-4: Writing Linear Equations (*Optional for 2013/2014)

 

Resources/Activities

LESSON: Determining Functions Using Regression.

 

Common Core Task: USE FUNCTIONS TO MODEL RELATIONSHIPS

  • FIF.4 (See Lesson 2-1)
  • S-ID.6a Summarize, represent, and interpret data on two categorical and quantitative variables
  • FLE.1b (See Lesson 2-3) (RS)
  • NQ.1 Reason quantitatively and use units to solve problems (RS)
  • pNQ.2 Reason quantitatively and use units to solve problems
  • NQ.3 Reason quantitatively and use units to solve problems (RS)

SPI 3103.1.1 (See Lesson 1-2)

SPI 3103.3.12 Interpret graphs that depict real-world phenomena.

SPI 3103.5.3 Analyze patterns in a scatter-plot and describe relationships in both linear and non-linear data.

SPI 3103.5.7 Determine/recognize when the correlation coefficient measures goodness of fit.

Section 2-5: Scatter Plots and Lines of Regression

 

Resources/Activities

LESSON: Exploring Linear Data.

LESSON: Line of Best Fit.

RESOURCE: Graphing

ENRICHMENT: How to weigh an alligator.

ENRICHMENT: Correlation Does Not Equal Causation.

 

Common Core Task: UNDERSTANDING LINEAR EQUATIONS

 

Common Core Task: SCATTER PLOTS a

Common Core Task: SCATTER PLOTS b

Common Core Task: SCATTER PLOTS c

Common Core Task: SCATTER PLOTS d

Common Core Task: SCATTER PLOTS e

Common Core Task: SCATTER PLOTS f

Common Core Task: SCATTER PLOTS g

Common Core Task: SCATTER PLOTS h

SPI 3103.3.5 (See Lesson 2-1)

 

Section 2-6: Special Functions

 

Resources/Activities

ENRICHMENT: Parent Graphs

LESSON: Creating piece wise functions using CBR system.

LESSON: Classes of functions

RESOURCE: Graphing Piecewise Functions Piecewise Functions

  • FBF.3 Build new functions from existing functions
  • pFIF.9 Analyze functions using different representations

 

Section 2-7: Parent Functions and Transformations (*Optional for 2013/2014)

 

 

SPI 3103.3.9 Graph the solution set of two or three linear or quadratic inequalities.

Section 2-8: Graphing Linear and Absolute Value Inequalities

 

Common Core Task: LINEAR FUNCTIONS, EQUATIONS AND INEQUALITIES

Chapter 3 - Systems of Equations and Inequalities

(Allow 2 weeks for instruction, review, and assessment)

  • AREI.11 Represent and solve equations and inequalities graphically

SPI 3103.3.9 (See Lesson 2-8)

SPI 3103.3.13 Solve contextual problems using quadratic, rational, radical and exponential equations, finite geometric series or systems of equations.

Section 3-1: Solving Systems of Equations by Graphing

 

Resources/Activities

LESSON: Graphing Method

SPI 3103.3.13 (See Lesson 3-1)

Section 3-2: Solving Systems of Equations Algebraically

 

Resources/Activities

LESSON: Algebraic Method

RESOURCE: Solving Systems

  • ACED.3 (See Lesson 1-4) (RS)
  • AREI.10 Represent and solve equations and inequalities graphically (RS)
  • AREI.12 Represent and solve equations and inequalities graphically (RS)

SPI 3103.3.9 (See Lesson 2-8)

SPI 3103.3.13 (See Lesson 3-1)

Section 3-3: Solving systems of Inequalities by Graphing

 

Common Core Task: SYSTEMS OF LINEAR EQUATIONS a

Common Core Task: SYSTEMS OF LINEAR EQUATIONS b

Common Core Task: SYSTEMS OF LINEAR EQUATIONS c

Common Core Task: SYSTEMS OF LINEAR EQUATIONS d

Common Core Task: SYSTEMS OF LINEAR EQUATIONS e

Common Core Task: SYSTEMS OF LINEAR EQUATIONS f

  • ACED.3 (See Lesson 1-4) (RS)
  • AREI.10 Represent and solve equations and inequalities graphically (RS)

SPI 3103.3.9 (See Lesson 2-8)

SPI 3103.3.13 (See Lesson 3-1)

Section 3-4: Optimization with Linear Programming

 

Resources/Activities

ENRICHMENT: Dirt Bike Dilemma.

SPI 3103.3.8 Solve systems of three linear equations in three variables.

Section 3-5: Systems of Equations in Three Variables

 

Resources/Activities

ENRICHMENT RESOURCE: Hanging Chains.

RESOURCE: Solving Systems

Chapter 4 – Matrices

(Allow 2 weeks for instruction, review, and assessment)

  • NVM.6 Perform operations on matrices and use matrices in applications.

SPI 3103.1.1 (See Lesson 1-2)

Section 4-1: Introduction to Matrices

 

  • NVM.7 Perform operations on matrices and use matrices in applications.
  • NVM.8 Perform operations on matrices and use matrices in applications.

 

Section 4-2: Operations with Matrices (*Optional for 2013/2014)

 

 

  • NVM.9 Perform operations on matrices and use matrices in applications.

 

Section 4-3: Multiplying Matrices (*Optional for 2013/2014)

  • NVM.11 Perform operations on matrices and use matrices in applications.

 

Section 4-4: Transformations with Matrices (*Optional for 2013/2014)

Resources/Activities

ENRICHMENT: Transformers

 

Section 4-4: Algebra Lab Vectors and Matrices (*Optional for 2013/2014)

 

  • NVM.12 Perform operations on matrices and use matrices in applications.

SPI 3103.3.8 (See Lesson 3-5)

SPI 3103.3.13 (See Lesson 3-1)

Section 4-5: Determinants and Cramer’s Rule

 

Resources/Activities

RESOURCE:Operating on Matrices

  • NVM.10 Perform operations on matrices and use matrices in applications.
  • AREI.8 Solve systems of equations
  • AREI.9 Solve systems of equations

SPI 3103.3.8 (See Lesson 3-5)

SPI 3103.3.13 (See Lesson 3-1)

Section 4-6: Inverse Matrices and Systems of Equations

 

Resources/Activities

LESSON: Identity and Inverse Matrices

LESSON:Using Matrices to Solve a System

 

Common Core Task: INTERACTING LINEAR FUNCTIONS AND LINEAR SYSTEMS

 

RESOURCE TOOLBOX:

 

KHAN ACADEMY VIDEO TUTORING WEBSITE:

LINKS TO KHAN VIDEOS BY SECTION FROM TEXTBOOK

COMPASS LEARNING ODYSSEY

TEACHER TUBE VIDEO TUTORING:

http://www.teachertube.com/

MATH TV VIDEO TUTORING: http://www.mathtv.com/videos_by_topic#

 

 

EOC RESOURCES:

http://www.tn.gov/education/assessment/sec_samplers.shtml

 

GLENCOE TOOLS:

CONNECTED SITE: http://connected.mcgraw-hill.com/connected/login.do

HOTMATH.COM http://hotmath.com/help/bookindexes/hollidaytn212/index.html

GLENCOE PRACTICE QUIZ: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=selfcheckquizzes

GLENCOE PRACTICE TEST: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=chaptertest

GLENCOE STANDARDIZED PRACTICE TEST: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=standardizedtestpractice

GLENCOE PERSONAL TUTOR VIDEO: http://glencoe.mcgraw-hill.com/sites/0078884829/sitemap.html?resource=personaltutor

 

COMMON CORE RESOURCES:

Common Core Standards - Mathematics

Common Core Standards - Mathematics Appendix A

TN Core

http://www.ccsstoolbox.org/

 

PARCC INFORMATION:

http://www.parcconline.org/classroom

http://www.parcconline.org/assessment-blueprints-test-specs

PARCC High Level Blueprints

PARCC Blueprints and Test Specifications FAQ

PARCC ALG. II EYO Information

 

ADDITIONAL TASK RESOURCES:

http://map.mathshell.org/materials/tasks.php?taskid=265&subpage=apprentice

http://www.utdanacenter.org/k12mathbenchmarks/tasks/tasks.php

http://schools.nyc.gov/Academics/CommonCoreLibrary/TasksUnitsStudentWork/default.htm

http://www.dlt.ncssm.edu/algebra/HTML/09.htm

 

TECHNOLOGY-GRAPHING CALCULATORS:

http://www.ti-mathnspired.com

http://education.ti.com/educationportal/activityexchange/activity

http://www.casioeducation.com/educators

http://www.internet4classrooms.com/eoc_algebra2.htm

http://illuminations.nctm.org/

http://www.stemresources.com/

http://cuacs8.mck.ncsu.edu/mathsampleitems/main.html

http://www.ilovemath.org/index.php?option=com_docman

http://mathbits.com/MathBits/TISection/Openpage.htm

http://mathbits.com/MathBits/TeacherResources/Algebra2/Algebra2.htm