Common Core State Standards
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State Performance Indicators (SPIs)
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Content & Tasks
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Chapter 1: Equations and Inequalities
(Summer Work Allow Three days During the Semester for Review and Assessment)
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- A‐SSE.1a Interpret the structure of expressions (RS)
- A‐SSE.1b Interpret the structure of expressions (RS)
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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.
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Section 1-1: Expressions and Formulas
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- A‐SSE.2 Interpret the structure of expressions
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SPI 3103.2.2 Compute with all real and complex numbers.
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Section 1-2: Properties of Real Numbers
Resources/Activities
LESSON: Classifying Complex Numbers
LESSON: Complex Number Properties.
RESOURCE: Complex Numbers.
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- 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)
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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.
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Section 1-3: Solving Equations
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- A‐CED.3 Create equations that describe numbers or relationships (RS)
- A‐SSE.1b (See Lesson 1-1) (RS)
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SPI 3103.2.3 (See Lesson 1-3)
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Section 1-4: Solving Absolute Value Equations
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Section 1-5: Solving Inequalities (*Optional for 2013/2014)
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Section 1-6: Solving Compound and Absolute Value Inequalities (*Optional for 2013/2014)
Resources/Activities
ENRICHMENT RESOURCE: Absolute Value Inequalities
RESOURCE: Absolute Value
RESOURCE: Absolute Value Equations & Inequalities
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Section 1-6: LAB Interval Notation (*Optional for 2013/2014)
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Chapter 2 - Linear Relations and Functions
(Summer Work Allow Three days During the Semester for Review and Assessment)
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- 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)
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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.
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Section 2-1: Relations and Functions
Resources/Activities
LESSON: Domain Representations.
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- 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
- pF‐IF.9 Analyze functions using different representations
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SPI 3103.3.5 (See Lesson 2-1)
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Section 2-2: Linear Relations and Functions
Resources/Activities
ENRICHMENT: Armstrong Numbers
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- 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)
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Section 2-3: Rate of Change and Slope (*Optional for 2013/2014)
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Section 2-4: Writing Linear Equations (*Optional for 2013/2014)
Resources/Activities
LESSON: Determining Functions Using Regression.
CC Task: USE FUNCTIONS TO MODEL RELATIONSHIPS
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- 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)
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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.
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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
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- 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)
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SPI 3103.3.5 (See Lesson 2-1)
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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
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- F‐BF.3 Build new functions from existing functions
- pF‐IF.9 Analyze functions using different representations
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Section 2-7: Parent Functions and Transformations (*Optional for 2013/2014)
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SPI 3103.3.9 Graph the solution set of two or three linear or quadratic inequalities.
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Section 2-8: Graphing Linear and Absolute Value Inequalities
CC Task: LINEAR FUNCTIONS, EQUATIONS AND INEQUALITIES
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Chapter 3 - Systems of Equations and Inequalities
(Allow 9 days for instruction, review, and assessment)
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- A‐REI.11 Represent and solve equations and inequalities graphically
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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.
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Section 3-1: Solving Systems of Equations by Graphing
Resources/Activities
LESSON: Graphing Method
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- pA‐REI.6 Solve systems of equations
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SPI 3103.3.13 (See Lesson 3-1)
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Section 3-2: Solving Systems of Equations Algebraically
Resources/Activities
LESSON: Algebraic Method
RESOURCE: Solving Systems
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- 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)
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SPI 3103.3.9 (See Lesson 2-8)
SPI 3103.3.13 (See Lesson 3-1)
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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
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- A‐CED.3 (See Lesson 1-4) (RS)
- A‐REI.10 Represent and solve equations and inequalities graphically (RS)
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SPI 3103.3.9 (See Lesson 2-8)
SPI 3103.3.13 (See Lesson 3-1)
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Section 3-4: Optimization with Linear Programming
Resources/Activities
ENRICHMENT: Dirt Bike Dilemma.
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SPI 3103.3.8 Solve systems of three linear equations in three variables.
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Section 3-5: Systems of Equations in Three Variables
Resources/Activities
ENRICHMENT RESOURCE: Hanging Chains.
RESOURCE: Solving Systems
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Chapter 4 – Matrices
(Allow 7 days for instruction, review, and assessment)
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- N‐VM.6 Perform operations on matrices and use matrices in applications.
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SPI 3103.1.1 (See Lesson 1-2)
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Section 4-1: Introduction to Matrices
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- N‐VM.7 Perform operations on matrices and use matrices in applications.
- N‐VM.8 Perform operations on matrices and use matrices in applications.
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Section 4-2: Operations with Matrices (*Optional for 2013/2014)
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- N‐VM.9 Perform operations on matrices and use matrices in applications.
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Section 4-3: Multiplying Matrices (*Optional for 2013/2014)
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- N‐VM.11 Perform operations on matrices and use matrices in applications.
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Section 4-4: Transformations with Matrices (*Optional for 2013/2014)
Resources/Activities
ENRICHMENT: Transformers
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- N‐VM.4a Perform operations on vectors.
- N‐VM.4b Perform operations on vectors.
- N‐VM.4c Perform operations on vectors.
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Section 4-4: Algebra Lab Vectors and Matrices (*Optional for 2013/2014)
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- N‐VM.12 Perform operations on matrices and use matrices in applications.
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SPI 3103.3.8 (See Lesson 3-5)
SPI 3103.3.13 (See Lesson 3-1)
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Section 4-5: Determinants and Cramer’s Rule
Resources/Activities
RESOURCE: Operating on Matrices
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- N‐VM.10 Perform operations on matrices and use matrices in applications.
- A‐REI.8 Solve systems of equations
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SPI 3103.3.8 (See Lesson 3-5)
SPI 3103.3.13 (See Lesson 3-1)
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Section 4-6: Inverse Matrices and Systems of Equations
Resources/Activities
LESSON: Identity and Inverse Matrices
LESSON: Using Matrices to Solve a System
CC Task: INTERACTING LINEAR FUNCTIONS AND LINEAR SYSTEMS
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Chapter 5: Quadratic Functions and Relations
(Allow 3 weeks for instruction, review, and assessment)
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- 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)
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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.
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Section 5-1: Graphing Quadratic Functions
Resources/Activities
ENRICHMENT: Graphing Families of Quadratic Functions.
LESSON: Graphing Quadratic Functions
RESOURCE: Graphing
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- A‐CED.2 Create equations that describe numbers or relationships (RS)
- pA‐REI.4b Solve equations and inequalities in one variable
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SPI 3103.3.2 Solve quadratic equations and systems, and determine roots of a higher order polynomial.
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Section 5-2: Solving Quadratic Equations by Graphing
Resources/Activities
ENRICHMENT: Solving Quadratic EQ
LESSON: Solving by Graphing
RESOURCE: Graphing
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- 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)
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SPI 3103.3.2 (See Lesson 5-2)
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Section 5-3: Solving Quadratic Functions by Factoring
Resources/Activities
LESSON: Factoring Polynomials
LESSON: Solving by Factoring
RESOURCE: Factoring
RESOURCE: Solving Equations
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- 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.
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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.
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Section 5-4: Complex Numbers
Resources/Activities
LESSON: Classifying Complex Numbers
LESSON: Complex Number Properties.
RESOURCE: Complex Numbers.
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Represent complex numbers and their operations on the complex plane.
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SPI 3103.2.2 (See Lesson 5-4)
SPI 3103.2.3 (See Lesson 5-4)
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Section 5-4 LAB: The Complex Plane
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- N‐CN.7 Use complex numbers in polynomial identities and equations
- A‐REI.4a Solve equations and inequalities in one variable (RS)
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SPI 3103.2.3 (See Lesson 5-4)
SPI 3103.3.2 (See Lesson 5-2)
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Section 5-5: Completing the Square
Resources/Activities
ENRICHMENT: Building Connections.
LESSON: Completing the Square
RESOURCE: Solving Equations
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- A‐CED.4 Create equations that describe numbers or relationships (RS)
- A‐SSE.1b Interpret the structure of expressions (RS)
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SPI 3103.2.3 (See Lesson 5-4)
SPI 3103.3.2 (See Lesson 5-2)
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Section 5-6: The Quadratic Formula and the Discriminant
Resources/Activities
ENRICHMENT: Quadratic Formula
LESSON: Quadratic Formula
RESOURCE: Solving Equations
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- F‐BF.3 Build new functions from existing functions
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Section 5-7: Transformations with Quadratic Functions (*Optional for 2013/2014)
Resources/Activities
ENRICHMENT: Ball Bounce.
LESSON: Analyze Graphs
RESOURCE: Graphing
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- A‐CED.3 Create equations that describe numbers or relationships (RS)
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SPI 3103.3.9 Graph the solution set of two or three linear or quadratic inequalities.
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Section 5-8: Quadratic Inequalities
Resources/Activities
LESSON: Graphing Calculator Investigation
RESOURCE: Solving Inequalities
CC Task: QUADRATIC FUNCTIONS
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Practice Constructed Response Using Common Core Tasks
(Allow 3 days for instruction, review, and assessment)
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