Foundations of Advanced Algebra Pacing Guide

# of
Days / NCSCOS
Correlation* / Topic / Resources**
15 / Unit I: Families of Functions
5.01(8) / Relations and Functions / ATAK: Activities 7-1, 7-2, 7-3, 7-4
NCTM: Domain Representations
Roller Coasting through Functions
How should I move? (Optional)
Learn 360: X-Power Gridlock
Brightstorm: Introduction to Functions
Domain and Range
Functions Notation
2.02 (A2)
2.03 (A2)
2.05 (A2)
2.06 (A2)
2.07 (A2)
2.08 (A2) / Families of Functions / ATAK: Activity 7-11
Handouts: Graphic Organizer (Meet the Parents)
Optional SAS: QL #1436
2.02 (A2)
2.03 (A2)
2.05 (A2)
2.06 (A2)
2.07 (A2)
2.08 (A2) / Graphing Transformations of Functions / Brightstorm: Graphing Radical Equations Using Shifts
Handouts:Practice with Shifts of Graphs
Master 170
7 / Unit II: Focus on Linear Functions
4.01 (A1) / Slope/Rate of Change / SAS: QL #283
VAF: Chapter 1, Lessons 6 and 8
Optional NCTM: Pedal Power
4.01 (A1) / Slope-Intercept Form / VAF Chapter 1: Lessons 5, 9, 11, 12, 13
3.03 (A1)
2.04 (A2) / Modeling Real World Data / ATAK: Activities 4-11, 4-12
NCTM: Exploring Linear Data
Barbie Bungee (Optional)
How Did I Move (Optional)
Road Rage (Optional)
Movie Lines (Optional)
Brightstorm: Scatter Plots & Correlations
Handouts: High School and College GPA
Chirping Frequency
# of Days / NCSCOS
Correlation* / Topic / Resources**
7 / Unit III: Focus on Absolute Value Functions
2.08 (A2) / Absolute Value Equations/Inequalities / SAS: QL #1285
QL #1424 (Optional)
Walch: Interpreting Functions Set 4
Brightstorm: Absolute Value Equations
Absolute Value Inequalities
Optional TI: Verifying Absolute Value Interval Inequalities
with a Graphical Approach
2.08 (A2) / Absolute Value Functions / Brightstorm: Definitions & Applications of Absolute Value
Absolute Value Inequality Graphs in 2 Variables
2.08 (A2) / Transformations / Brightstorm: Shifts in Absolute Value Graphs
Optional SAS: QL #496
12 / Unit IV: Polynomial Operations
1.03 (A2) / Addition and Subtraction / ATAK: Activity 5-3
1.03 (A2) / Multiplication / ATAK: Activities 5-4, 5-8, 5-9, 5-10
1.03 (A2) / Laws of Exponents / ATAK: Activities 5-5, 5-6, 5-7
1.03 (A2) / Factoring / ATAK: Activities 6-2, 6-3, 6-4, 6-5, 6-6, 6-7, 6-8, 6-10
1st Semester Ends
10 / Unit V: Focus on Quadratic Functions
2.02 (A2) / Quadratic Functions and Transformations / ATAK: Activity 9-5
NCTM: Egg Launch Contest
Learn 360: River of Time: Polynomials & Quadratics
Walch: Interpreting Functions Set 1
VAF: Chapter 5, Lessons 4-8
Brightstorm: Vertical/Horizontal Shifts of Quadratic Graphs
Dilations of Quadratic Graphs
Introduction to Parabolas
Finding Intercepts/Domain/Range/Vertex
Finding Max or Min of a Quadratic
Optional SAS: QL #498
QL #1291
QL #1420
# of Days / NCSCOS
Correlation* / Topic / Resources**
2.02 (A2) / The Square Root Property / ATAK: Activity 9-2
Brightstorm: Solving Quadratic Equations using Square Roots
2.02 (A2) / Solving by Factoring / ATAK: Activity 9-1
2.02 (A2) / Completing the Square / Brightstorm: Completing the Square (omit problem 4)
2.02 (A2) / The Quadratic Formula & Discriminant / ATAK: Activity 9-4
Learn 360: The Quadratic Formula
Walch: Interpreting Functions Set 2
Brightstorm: The Quadratic Formula
The Discriminant of a Quadratic Equation
2.04 (A2) / Modeling Real World Data / NCTM: Paying for Your Wheels
12 / Unit VI: Focus on Exponential Functions
2.03 (A2) / Solving Exponential Equations / ATAK: Activity 9-10
Walch: Interpreting Functions Set 6
Brightstorm: Solving Exponential Equations with Same Base
2.03 (A2) / Exponential Functions & Transformations / Learn 360: Exponential Functions (clip)
Walch: Interpreting Functions Set 5
Brightstorm: Exponential Functions and Their Graphs
Optional TIE: Activity 8
2.03 (A2) / Exponential Growth and Decay / Optional TIE: Activity 6
2.03 (A2) / Applications / NCTM: Predicting Your Financial Future
VAF: Chapter 3, Lessons 4-8
Chapter 4, Lessons 3-9
Brightstorm: Compound Interest
2.04 (A2) / Modeling Real World Data / NCTM: Drug Filtering
National Debt and Wars
Predicting Your Financial Future
Optional SAS: QL #95
QL #292
QL #294
TI: Population Growth with Calcumites
How to Weigh an Alligator
# of Days / NCSCOS
Correlation* / Topic / Resources**
10 / Unit VII: Systems
4.03 (A1), 2.10 (A2) / Solving Algebraically / Learn 360: X-Power Battle Plan
Brightstorm: Solving a System in 2 Variables
4.03 (A1), 2.10 (A2) / Solving Graphically / ATAK: Activity 4-14
4.03 (A1), 2.10 (A2) / Solving with Inverse Matrices
(include 3 x 3 systems) / Brightstorm: Solving Systems Using Matrices
4.03 (A1), 2.10 (A2) / Nonlinear Systems / Optional QL #1290: Systems of Linear & Nonlinear Equa.
4.03 (A1), 2.10 (A2) / Solve Systems of Inequalities / ATAK: Activity 4-15
Brightstorm: Systems of Inequalities
4.03 (A1), 2.10 (A2) / Applications / NCTM: Talk or Text
There Has to be a System for This Sweet Problem
Supply and Demand
Escape from the Tomb (optional)
12 / Unit VIII: Radical Expressions
2.07 (A2) / Roots / ATAK: Activities 8-3, 8-4, 8-5, 8-6
Brightstorm: Introduction to Radicals
Multiplying Radicals of the Same Root
Rationalizing a Demoninator with a Binomial
2.07 (A2) / Radical Expressions / ATAK: Activities 8-7 and 8-8
2.07 (A2) / Rational Exponents / Brightstorm: Rational Exponents
Evaluation Rational Exponents
Rules for Rational Exponents
2.07 (A2) / Radical Equations / Brightstorm: Solving an Equation with Radicals (omit #3)
2.07 (A2) / Complex Numbers (include Quadratic Formula with Complex Solutions) / ATAK: Activities 8-10, 8-11, 8-12
Walch: Algebra Set 2
Brightstorm: Introduction to Imaginary Numbers
85 / Cumulative Days (Year) / 2nd Semester Ends
5 / Review and Exam
90 / Cumulative Days (Year) / Year Ends

* NCSCOS Correlation:

(8)2003 North Carolina Standard Course of Study – Grade 8

(A1)2003 North Carolina Standard Course of Study – Algebra I

(A2)2003 North Carolina Standard Course of Study – Algebra II

** Resources:

ATAK: Algebra Teacher’s Activities Kit, Jossey-Bass, 2003

NCTM:

Learn 360: On LearningVillage

SAS: On LearningVillage (Curriculum Pathways)

Walch: Algebra II Station Activities for Common Core Standards, Walch Education, 2011

VAF: A Visual Approach to Functions, Key Curriculum Press, 2002

Brightstorm:

TI: See individual links on unit summaries

TIE: Exploring Mathematics with Transformation Graphing Application, Texas

Instruments Incorporated, 2004