Algebra II Honors Syllabus

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.)
 N‐RN Extend the properties of exponents to rational exponents (1, 2) A‐SSE Write expressions in equivalent forms to solve problems★ (3, 4) A‐APR Understand the relationship between zeros and factors of polynomials (2, 3) F‐BF Build a function that models a relationship between two quantities★ (1, 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 (Summer Work Allow Three days During the Semester for Review and Assessment) A‐SSE.1a Interpret the structure of expressions (RS) A‐SSE.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 A‐SSE.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. pA‐CED.1 Create equations that describe numbers or relationships A‐CED.4 Create equations that describe numbers or relationships (RS) A‐REI.1 Understand solving equations as a process of reasoning and explain the reasoning A‐REI.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 pA‐CED.1 (See Lesson 1-3) A‐CED.3 Create equations that describe numbers or relationships (RS) A‐SSE.1b (See Lesson 1-1) (RS) A‐REI.1 (See Lesson 1-3) A‐REI.3 (See Lesson 1-3) (RS) SPI 3103.2.3 (See Lesson 1-3) Section 1-4: Solving Absolute Value Equations pA‐CED.1 (See Lesson 1-3) A‐CED.3 (See Lesson 1-4) (RS) A‐REI.1 (See Lesson 1-3) A‐REI.3 (See Lesson 1-3) (RS) Section 1-5: Solving Inequalities (*Optional for 2013/2014) pA‐CED.1 (See Lesson 1-3) A‐CED.3 (See Lesson 1-4) (RS) A‐REI.1 (See Lesson 1-3) A‐REI.3 (See Lesson 1-3) (RS) Section 1-6: Solving Compound and Absolute Value Inequalities (*Optional for 2013/2014) Resources/Activities ENRICHMENT RESOURCE: Absolute Value Inequalities RESOURCE: Absolute Value Section 1-6: LAB Interval Notation (*Optional for 2013/2014) Chapter 2 - Linear Relations and Functions (Summer Work Allow Three days During the Semester for Review and Assessment) F‐IF.1 Understand the concept of a function and use function notation (RS) F‐IF.2 Understand the concept of a function and use function notation (RS) F‐IF.4 Interpret functions that arise in applications in terms of the context F‐IF.5 Interpret functions that arise in applications in terms of the context (RS) F‐IF.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. A‐SSE.1b (See Lesson 1-1) (RS) F‐LE.1 Construct and compare linear, quadratic, and exponential models and solve problems (RS) pF‐LE.2 Construct and compare linear, quadratic, and exponential models and solve problems F‐IF.4 (See Lesson 2-1) F‐IF.7a (See Lesson 2-1) (RS) pF‐IF.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 F‐IF.4 (See Lesson 2-1) F‐IF.6 Interpret functions that arise in applications in terms of the context F‐LE.1b Construct and compare linear, quadratic, and exponential models and solve problems (RS) A‐CED.2 Create equations that describe numbers or relationships (RS) Section 2-3: Rate of Change and Slope (*Optional for 2013/2014) A‐CED.2 (See Lesson 2-3) (RS) A‐SSE.1b (See Lesson 1-1) (RS) pF‐LE.2 (See Lesson 2-2) Section 2-4: Writing Linear Equations (*Optional for 2013/2014)   Resources/Activities F‐IF.4 (See Lesson 2-1) S-ID.6a Summarize, represent, and interpret data on two categorical and quantitative variables F‐LE.1b (See Lesson 2-3) (RS) N‐Q.1 Reason quantitatively and use units to solve problems (RS) pN‐Q.2 Reason quantitatively and use units to solve problems N‐Q.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.   CC Task: UNDERSTANDING LINEAR EQ CC Task: SCATTER PLOTS a CC Task: SCATTER PLOTS b CC Task: SCATTER PLOTS c CC Task: SCATTER PLOTS d CC Task: SCATTER PLOTS e CC Task: SCATTER PLOTS f CC Task: SCATTER PLOTS g CC Task: SCATTER PLOTS h A‐CED.2 (See Lesson 2-3) (RS) A‐CED.3 (See Lesson 1-4) (RS) A‐SSE.1b (See Lesson 1-1) (RS) F‐IF.4 (See Lesson 2-1) F‐IF.5 (See Lesson 2-1) (RS) F‐IF.7a (See Lesson 2-1) (RS) F‐IF.7b Analyze functions using different representations (RS) SPI 3103.3.5 (See Lesson 2-1) Section 2-6: Special Functions   Resources/Activities ENRICHMENT: Parent Graphs LESSON: Classes of functions RESOURCE: Graphing Piecewise Functions Piecewise Functions A‐CED.2 (See Lesson 2-3) (RS) A‐CED.3 (See Lesson 1-4) (RS) A‐SSE.1b (See Lesson 1-1) (RS) F‐BF.3 Build new functions from existing functions F‐LE.1 (See Lesson 2-2) (RS) pF‐LE.2 (See Lesson 2-2) F‐IF.4 (See Lesson 2-1) F‐IF.7a (See Lesson 2-1) (RS) pF‐IF.9 Analyze functions using different representations Section 2-7: Parent Functions and Transformations (*Optional for 2013/2014) A‐CED.3 (See Lesson 1-4) (RS) 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 Chapter 3 - Systems of Equations and Inequalities (Allow 9 days for instruction, review, and assessment) A‐CED.2 (See Lesson 2-3) (RS) A‐CED.3 (See Lesson 1-4) (RS) A‐REI.11 Represent and solve equations and inequalities graphically A‐REI.6 Solve systems of equations F‐IF.7a (See Lesson 2-1) (RS) 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 A‐CED.3 (See Lesson 1-4) (RS) A‐REI.5 Solve systems of equations (RS) pA‐REI.6 Solve systems of equations SPI 3103.3.13 (See Lesson 3-1) Section 3-2: Solving Systems of Equations Algebraically   Resources/Activities LESSON: Algebraic Method RESOURCE: Solving Systems A‐CED.3 (See Lesson 1-4) (RS) A‐REI.10 Represent and solve equations and inequalities graphically (RS) A‐REI.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   CC Task: SYSTEMS OF LINEAR EQ a CC Task: SYSTEMS OF LINEAR EQ b CC Task: SYSTEMS OF LINEAR EQ c CC Task: SYSTEMS OF LINEAR EQ d CC Task: SYSTEMS OF LINEAR EQ e CC Task: SYSTEMS OF LINEAR EQ f A‐CED.3 (See Lesson 1-4) (RS) A‐REI.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. A‐CED.3 (See Lesson 1-4) (RS) 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 7 days for instruction, review, and assessment) N‐VM.6 Perform operations on matrices and use matrices in applications. SPI 3103.1.1 (See Lesson 1-2) Section 4-1: Introduction to Matrices N‐VM.7 Perform operations on matrices and use matrices in applications. N‐VM.8 Perform operations on matrices and use matrices in applications. Section 4-2: Operations with Matrices (*Optional for 2013/2014) N‐VM.9 Perform operations on matrices and use matrices in applications. Section 4-3: Multiplying Matrices (*Optional for 2013/2014) N‐VM.11 Perform operations on matrices and use matrices in applications. Section 4-4: Transformations with Matrices (*Optional for 2013/2014)   Resources/Activities ENRICHMENT: Transformers N‐VM.4a Perform operations on vectors. N‐VM.4b Perform operations on vectors. N‐VM.4c Perform operations on vectors. Section 4-4: Algebra Lab Vectors and Matrices (*Optional for 2013/2014) A‐CED.3 (See Lesson 1-4) (RS) N‐VM.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 A‐CED.3 (See Lesson 1-4) (RS) N‐VM.10 Perform operations on matrices and use matrices in applications. A‐REI.8 Solve systems of equations A‐REI.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 Chapter 5: Quadratic Functions and Relations (Allow 3 weeks for instruction, review, and assessment) F‐IF.4 Interpret functions that arise in applications in terms of the context A-SSE1a Interpret the structure of expressions (RS) F‐IF.7a and F‐IF.8a 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 5-1: Graphing Quadratic Functions   Resources/Activities ENRICHMENT: Graphing Families of Quadratic Functions. LESSON: Graphing Quadratic Functions RESOURCE: Graphing A‐CED.2 Create equations that describe numbers or relationships (RS) F‐IF.4 (See Lesson 5-1) pA‐REI.4b Solve equations and inequalities in one variable F‐IF.7a and F‐IF.8a(See Lesson 5-1) (RS) SPI 3103.3.2 Solve quadratic equations and systems, and determine roots of a higher order polynomial. Section 5-2: Solving Quadratic Equations by Graphing   Resources/Activities ENRICHMENT: Solving Quadratic EQ LESSON: Solving by Graphing RESOURCE: Graphing A‐APR.1 Perform arithmetic operations on polynomials (RS) A‐APR.4 Use polynomial identities to solve problems pA‐CED.1 Create equations that describe numbers or relationships A‐SSE.2 Interpret the structure of expressions A‐SSE.3a Write expressions in equivalent forms to solve problems (RS) F‐IF.8a (See Lesson 5-1) (RS) pA‐REI.4b (See Lesson 5-2) SPI 3103.3.2 (See Lesson 5-2) Section 5-3: Solving Quadratic Functions by Factoring   Resources/Activities LESSON: Factoring Polynomials LESSON: Solving by Factoring RESOURCE: Factoring RESOURCE: Solving Equations N‐CN.1 and N‐CN.2 Perform arithmetic operations with complex numbers. N‐CN.3 Perform arithmetic operations with complex numbers. N‐CN.8 Use complex numbers in polynomial identities and equations. SPI 3103.2.2 Compute with all real and complex numbers. SPI 3103.2.3 Use the number system, from real to complex, to solve equations and contextual problems. Section 5-4: Complex Numbers   Resources/Activities LESSON: Classifying Complex Numbers LESSON: Complex Number Properties. RESOURCE: Complex Numbers. N‐CN.4 , N‐CN.5, and N‐CN.6 Represent complex numbers and their operations on the complex plane. SPI 3103.2.2 (See Lesson 5-4) SPI 3103.2.3 (See Lesson 5-4) Section 5-4 LAB: The Complex Plane A‐APR.4 (See Lesson 5-3) pA‐CED.1 (See Lesson 5-3) A‐SSE.2 (See Lesson 5-3) A‐SSE.3a & A‐SSE.3b (See Lesson 5-3) (RS) F‐IF.8a (See Lesson 5-1) (RS) N‐CN.7 Use complex numbers in polynomial identities and equations A‐REI.4a Solve equations and inequalities in one variable (RS) A‐REI.4b (See Lesson 5-2) SPI 3103.2.3 (See Lesson 5-4) SPI 3103.3.2 (See Lesson 5-2) Section 5-5: Completing the Square   Resources/Activities ENRICHMENT: Building Connections. LESSON: Completing the Square RESOURCE: Solving Equations A‐APR.4 (See Lesson 5-3) pA‐CED.1 (See Lesson 5-3) A‐CED.4 Create equations that describe numbers or relationships (RS) A‐SSE.1b Interpret the structure of expressions (RS) N‐CN.7 (See Lesson 5-5) N‐CN.8 (See Lesson 5-4) A‐REI.4a (See Lesson 5-5) (RS) pA‐REI.4b (See Lesson 5-2) SPI 3103.2.3 (See Lesson 5-4) SPI 3103.3.2 (See Lesson 5-2) Section 5-6: The Quadratic Formula and the Discriminant   Resources/Activities ENRICHMENT: Quadratic Formula LESSON: Quadratic Formula RESOURCE: Solving Equations A‐CED.2 (See Lesson 5-2) (RS) A‐SSE.1b (See Lesson 5-6) (RS) F‐BF.3 Build new functions from existing functions F‐IF.4 (See Lesson 5-1) F‐IF.7a (See Lesson 5-1) (RS) F‐IF.8a (See Lesson 5-1) (RS) Section 5-7: Transformations with Quadratic Functions (*Optional for 2013/2014)   Resources/Activities ENRICHMENT: Ball Bounce. LESSON: Analyze Graphs RESOURCE: Graphing pA‐CED.1 (See Lesson 5-3) A‐CED.3 Create equations that describe numbers or relationships (RS) SPI 3103.3.9 Graph the solution set of two or three linear or quadratic inequalities. Section 5-8: Quadratic Inequalities   Resources/Activities RESOURCE: Solving Inequalities   CC Task: QUADRATIC FUNCTIONS Practice Constructed Response Using Common Core Tasks (Allow 3 days for instruction, review, and assessment)

 RESOURCE TOOLBOX:   KHAN ACADEMY VIDEO TUTORING WEBSITE: LINKS TO KHAN VIDEOS BY SECTION FROM TEXTBOOK COMPASS LEARNING ODYSSEY TEACHER TUBE VIDEO TUTORING: 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 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 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   TECHNOLOGY-GRAPHING CALCULATORS: http://www.ti-mathnspired.com http://www.casioeducation.com/educators http://www.internet4classrooms.com/eoc_algebra2.htm http://www.stemresources.com/ http://mathbits.com/MathBits/TeacherResources/Algebra2/Algebra2.htm