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 nonlinear and transcendental functions to solve problems, to model mathematical ideas, and to communicate solution strategies.

Section 11: Expressions and Formulas

 A‐SSE.2 Interpret the structure of expressions

SPI 3103.2.2 Compute with all real and complex numbers.

Section 12: 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 11)
SPI 3103.2.3 Use the number system, from real to complex, to solve equations and contextual problems.

Section 13: Solving Equations

 A‐CED.3 Create equations that describe numbers or relationships (RS)
 A‐SSE.1b (See Lesson 11) (RS)

SPI 3103.2.3 (See Lesson 13)

Section 14: Solving Absolute Value Equations



Section 15: Solving Inequalities (*Optional for 2013/2014)



Section 16: 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



Section 16: 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 21: Relations and Functions
Resources/Activities
LESSON: Domain Representations.

 A‐SSE.1b (See Lesson 11) (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

SPI 3103.3.5 (See Lesson 21)

Section 22: Linear Relations and Functions
Resources/Activities
ENRICHMENT: Armstrong Numbers

 F‐IF.4 (See Lesson 21)
 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 23: Rate of Change and Slope (*Optional for 2013/2014)



Section 24: Writing Linear Equations (*Optional for 2013/2014)
Resources/Activities
LESSON: Determining Functions Using Regression.
CC Task: USE FUNCTIONS TO MODEL RELATIONSHIPS

 F‐IF.4 (See Lesson 21)
 SID.6a Summarize, represent, and interpret data on two categorical and quantitative variables
 F‐LE.1b (See Lesson 23) (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 12)
SPI 3103.3.12 Interpret graphs that depict realworld phenomena.
SPI 3103.5.3 Analyze patterns in a scatterplot and describe relationships in both linear and nonlinear data.
SPI 3103.5.7 Determine/recognize when the correlation coefficient measures goodness of fit.

Section 25: 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

 F‐IF.5 (See Lesson 21) (RS)
 F‐IF.7a (See Lesson 21) (RS)
 F‐IF.7b Analyze functions using different representations (RS)

SPI 3103.3.5 (See Lesson 21)

Section 26: 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

 F‐BF.3 Build new functions from existing functions
 pF‐IF.9 Analyze functions using different representations


Section 27: 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 28: Graphing Linear and Absolute Value Inequalities
CC Task: LINEAR FUNCTIONS, EQUATIONS AND INEQUALITIES

Chapter 3  Systems of Equations and Inequalities
(Allow 9 days for instruction, review, and assessment)

 A‐REI.11 Represent and solve equations and inequalities graphically

SPI 3103.3.9 (See Lesson 28)
SPI 3103.3.13 Solve contextual problems using quadratic, rational, radical and exponential equations, finite geometric series or systems of equations.

Section 31: Solving Systems of Equations by Graphing
Resources/Activities
LESSON: Graphing Method

 pA‐REI.6 Solve systems of equations

SPI 3103.3.13 (See Lesson 31)

Section 32: Solving Systems of Equations Algebraically
Resources/Activities
LESSON: Algebraic Method
RESOURCE: Solving Systems

 A‐CED.3 (See Lesson 14) (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 28)
SPI 3103.3.13 (See Lesson 31)

Section 33: 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 14) (RS)
 A‐REI.10 Represent and solve equations and inequalities graphically (RS)

SPI 3103.3.9 (See Lesson 28)
SPI 3103.3.13 (See Lesson 31)

Section 34: Optimization with Linear Programming
Resources/Activities
ENRICHMENT: Dirt Bike Dilemma.


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

Section 35: 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 12)

Section 41: 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 42: Operations with Matrices (*Optional for 2013/2014)

 N‐VM.9 Perform operations on matrices and use matrices in applications.


Section 43: Multiplying Matrices (*Optional for 2013/2014)

 N‐VM.11 Perform operations on matrices and use matrices in applications.


Section 44: 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 44: Algebra Lab Vectors and Matrices (*Optional for 2013/2014)

 N‐VM.12 Perform operations on matrices and use matrices in applications.

SPI 3103.3.8 (See Lesson 35)
SPI 3103.3.13 (See Lesson 31)

Section 45: Determinants and Cramer’s Rule
Resources/Activities
RESOURCE: Operating on Matrices

 N‐VM.10 Perform operations on matrices and use matrices in applications.
 A‐REI.8 Solve systems of equations

SPI 3103.3.8 (See Lesson 35)
SPI 3103.3.13 (See Lesson 31)

Section 46: 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

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
 ASSE1a 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 51: 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)
 pA‐REI.4b Solve equations and inequalities in one variable

SPI 3103.3.2 Solve quadratic equations and systems, and determine roots of a higher order polynomial.

Section 52: 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 51) (RS)

SPI 3103.3.2 (See Lesson 52)

Section 53: 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 54: Complex Numbers
Resources/Activities
LESSON: Classifying Complex Numbers
LESSON: Complex Number Properties.
RESOURCE: Complex Numbers.

Represent complex numbers and their operations on the complex plane.

SPI 3103.2.2 (See Lesson 54)
SPI 3103.2.3 (See Lesson 54)

Section 54 LAB: The Complex Plane

 N‐CN.7 Use complex numbers in polynomial identities and equations
 A‐REI.4a Solve equations and inequalities in one variable (RS)

SPI 3103.2.3 (See Lesson 54)
SPI 3103.3.2 (See Lesson 52)

Section 55: Completing the Square
Resources/Activities
ENRICHMENT: Building Connections.
LESSON: Completing the Square
RESOURCE: Solving Equations

 A‐CED.4 Create equations that describe numbers or relationships (RS)
 A‐SSE.1b Interpret the structure of expressions (RS)

SPI 3103.2.3 (See Lesson 54)
SPI 3103.3.2 (See Lesson 52)

Section 56: The Quadratic Formula and the Discriminant
Resources/Activities
ENRICHMENT: Quadratic Formula
LESSON: Quadratic Formula
RESOURCE: Solving Equations

 F‐BF.3 Build new functions from existing functions


Section 57: Transformations with Quadratic Functions (*Optional for 2013/2014)
Resources/Activities
ENRICHMENT: Ball Bounce.
LESSON: Analyze Graphs
RESOURCE: Graphing

 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 58: Quadratic Inequalities
Resources/Activities
LESSON: Graphing Calculator Investigation
RESOURCE: Solving Inequalities
CC Task: QUADRATIC FUNCTIONS

Practice Constructed Response Using Common Core Tasks
(Allow 3 days for instruction, review, and assessment)
