Integrated Algebra
Scope and Sequence
Schenectady High School Department of Mathematics
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Chapter 1 |
Foundations for Algebra |
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1-1 |
Writing Mathematical Expressions |
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1-2,1-3 |
Operations with Integers |
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1-4 |
Powers and Exponents |
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1-5 |
Square Roots and Real Numbers |
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1-6 |
Order of Operations |
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1-7 |
Simplifying Expressions |
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1-8 |
The Coordinate Plane |
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Sup |
Number Properties & Absolute Value |
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0-2, p. 52, Sup |
Basic Area & Perimeter |
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Chapter 2 |
Equations |
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2-1,2-2 |
Solving One-Step Equations |
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2-3 |
Solving Two-Step and Multi-Step Equations |
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2-4 |
Solving Equations with Variables on Both Sides |
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2-5 |
Solving for a Variable |
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Extension |
Solving Absolute Value Equations p. 148 & Supplement |
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Sup |
Writing & Solving Linear Equations |
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2-6 |
Rates, Ratios and Proportions |
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2-7 |
Applications of Proportions |
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2-8 |
Percents |
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2-9 |
Applications of Percents |
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2-10 |
Percent of Increase and Decrease |
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Sup |
Relative Error |
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Chapter 3 |
Inequalities |
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3-1,3-2 |
Graphing, Writing & Solving Inequalities (Adding & Subtracting) |
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3-3,3-4 |
Solving Inequalities (Multiplying & Dividing), Two-Step, Multi-Step |
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3-5 |
Solving Inequalities with Variables on Both Sides |
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3-6 |
Solving Compound Inequalities |
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Chapter 4 |
Functions |
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4-1, 4-2 |
Graphing Relationships/Relations & Functions |
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p. 243 |
Vertical Line Test Lab |
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4-3 & Sup |
Writing Functions |
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4-5, A-5 p. 939 |
Scatter Plots and Trend Lines |
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Sup, p. 270 |
Scatter Plots on Graphing Calculator |
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Quarter 1 Exam First Week of November |
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Chapter 5 |
Linear Functions |
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5-2 |
Using Intercepts |
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5-3, 5-4 |
Rate of Change/ The Slope Formula |
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Sup |
Writing Equations in y=mx+b form and Graph |
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5-6 & Sup |
Slope-Intercept Form |
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5-7 & Sup |
Writing the Equation of a line given the Slope and one point or given two points |
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5-5 |
Direct Variation (Note: Emphasis b = 0) |
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Sup |
Lab on Families of Linear Functions |
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5-8 |
Slopes of Parallel and Perpendicular Lines |
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Extension |
Absolute Value Functions p. 366 & Supplement |
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Chapter 6 |
Systems of Equations and Inequalities |
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6-1 & Sup |
Solving Linear Systems by Graphing |
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6-2 |
Solving Systems by Substitution |
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6-3 & Sup |
Solving Systems by Elimination (Note: Emphasize word problems) |
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6-4 |
Solving Special Systems (no solution or infinite solutions) |
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6-5 |
Solving Linear Inequalities |
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6-6 |
Solving Systems of Linear Inequalities |
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Sup |
Graphing Systems of Linear Inequalities on the Graphing Calculator |
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Sup |
Graphing Linear Inequalities on the Graphing Calculator |
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Chapter 7 |
Exponents and Polynomials |
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7-1 & Sup |
Integer Exponents |
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7-2 |
Powers of Ten and Scientific Notation |
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p.458-9 |
Properties of Exponents |
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7-3,7-4 |
Properties of Exponents when Multiplying and Dividing |
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7-5 |
Polynomials |
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7-6 & p.482-3 |
Adding and Subtracting Polynomials |
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7-7 & Sup |
Multiplying & Dividing Polynomials by a Monomial |
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7-7, 7-8 & Sup |
Multiplying Two Binomials by FOIL (Special Products) |
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p.500 & Sup |
Volume and Surface Area & Review Basic Formulas (Area of Shaded Regions) |
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Midterm Exam Week of January 18th (75% Quarter 2 Material, 25% Quarter 1 Material) |
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Chapter 8 |
Factoring Polynomials |
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8-1 |
Factors and Greatest Common Factors |
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8-2 |
Factor by Greatest Common Factor |
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8-3 |
Factoring x2+bx+c |
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8-5 & Sup |
Factoring Special Products |
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8-6 |
Choosing a Factoring Method |
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8-4 |
OPTIONAL Factoring ax2+bx+c when a > 1 |
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Chapter 9 |
Quadratic Functions and Equations |
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9-1,9-4 |
Identifying and Transforming Quadratic Functions |
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Sup |
Families of Quadratic Functions on the Graphing Calculator |
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Sup & p. 598 |
Axis of Symmetry & Vertex |
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9-2 & Sup |
Characteristics of Quadratic Functions |
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9-3 & Sup |
Graphing Quadratic Functions (using a table) |
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9-6 |
Solving Quadratic Equations by Factoring |
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9-6 Sup |
Writing & Solving Quadratic Equations |
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9-5 |
Solving Quadratic Equations by Graphing |
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Sup |
Solving Linear-Quadratic Systems by Graphing |
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9-7 |
OPTIONAL Solving Quadratic Equations by Using Square Roots |
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9-8 |
OPTIONAL Completing the Square |
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Chapter 12 |
Rational Functions and Equations |
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12-1,12-2 |
Undefined Fractions |
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12-3 |
Simplifying Rational Expressions |
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12-4, 12-6 |
Multiplying and Dividing Rational Expressions |
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12-5 |
Adding and Subtracting Rational Expressions |
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12-7 |
Solving Rational Equations (choose cross products only) |
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Quarter 3 Exam Week of March 29th |
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Chapter π |
Introduction to Geometry & Trigonometry |
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p.642 |
The Distance Formula |
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Sup |
Pythagorean Theorem (p.S71 Skills Bank) |
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Extension |
Trig Ratios p. 908 & Supplement |
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Extension |
Inverse Trig Functions p. 908 & Supplement |
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Sup |
Distinguishing between Trig and the Pythagorean Theorem |
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Chapter 10 |
Data Analysis and Probability |
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10-1, A-1 p. 925 |
Organizing and Displaying Data (Quantitative vs. Qualitative) |
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10-2, A-2 p. 926 |
Frequency and Histograms (Include Cumulative) & Univariate/Bivariate |
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10-3, A-4 p. 936 |
Measures of Central Tendency (Box & Whisker Plots) |
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10-4 & p.708,944 |
Misleading Graphs and Statistics (Sample Methods/Bias) |
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10-5, 10-6 |
Experimental & Theoretical Probability |
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10-7 & p.734 |
Independent and Dependent Events |
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Sup |
Tree Diagrams & Sample Space |
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10-8 |
Combinations and Permutations |
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p.746 |
Set Theory: Notation, Subset, Venn Diagrams |
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Sup |
Set Theory: Union, Intersection, Complement |
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Sup |
Histograms on the Graphing Calculator |
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p.712 |
Simulations |
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Sup |
Simulations on the Graphing Calculator (if time allows) |
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Chapter 11 |
Exponential and Radical Functions |
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11-1 & Sup |
Arithmetic Sequence/Geometric Sequence Recognize and Identify |
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11-2 & Sup |
Evaluate, Recognize and Identify Basic Exponential Functions |
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5-1 & Sup |
Identifying Functions (Linear, Quadratic, Exponential, Conic, Absolute Value) |
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11-4 |
Linear, Quadratic and Exponential Models |
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11-3 |
Exponential Growth and Decay |
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11-6 |
Radical Expressions |
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11-7 |
Adding and Subtracting Radical Expressions |
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11-8 |
Multiplying and Dividing Radical Expressions |
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11-9 |
Solving Radical Equations (if time allows) |
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11-5 |
OPTIONAL Square Root Functions |
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Extension |
OPTIONAL Rational Exponents |