Advanced+Algebra+1

Algebra 1

Textbook: Math 1 (Philips Exeter Academy)

**Topics Covered 2013-2014**

Evaluating Expressions o Order of Operations o Rules for Addition/Subtraction/Mulitplication/Division of Integers • 1-2 – Describing Patterns o Using a variable to describe a pattern • 1-3 – Equivalent Expressions o Using tables to evaluate equivalent expressions • 1-4 – Picturing Expressions o Basic introduction to scatterplots (x-y coordinate system) • 1-6 – Absolute Value and Distance

• 2-1 – The Distributive Property and Removing Parentheses • 2-2 – The Distributive Property and Adding Like Terms • 2-4 – Opposites o Review of negatives and multiplying by negative 1 • 2-5 – Testing Equivalence o Use tables, graphs, and algebra to test equivalence • 2-6 - 2-8 – Properties of Multiplication and Addition

• 3-1 – Graphing Linear Patterns o Constant increase/decrease, introduction to concept of slope • 3-2 – Solving Equations with Tables and Graphs o Get more comfortable with using the table and graph features of calculator • 3-4 – Solving ax + b = c o Solving simple algebraic equations • 3-5 – Using the Distributive Property in Solving Equations • 3-6 – Inequalities and Multiplication o Graphing inequalities on a number line • 3-7 – Solving ax + b < c o Solving inequalities • 3-8 – Solving Equations by Clearing Fractions

• 4-1 – Solving Percent Problems Using Equations o Markup and Discount problems • 4-2 – Horizontal and Vertical Lines • 4-3 – Using Tables and Graphs to Solve • 4-4 – Solving ax + b = cx + d • 4-5 – Solving ax + b < cx + d  • 4-7 – Equivalent Formulas o Rearrange formulas, solve for certain variables • 4-8 – Compound Inequalities, And and Or • 4-9 – Solving Absolute Value Equations and Inequalities

• 5-1 – Multiplication of Algebraic Fractions • 5-2 – Division of Algebraic Fractions • 5-3 – Rates • 5-4 – Multiplying and Dividing Rates o Unit Conversions • 5-5 – Ratios o Discount rate and tax rate o Using ratios to setup equations and solve

• 6-1 – Rate of Change • 6-2 – The Slope of a Line o Formula for slope of a line o Finding slope from the equation of a line • 6-3 – Properties of Slope o Graphing a line using the slope o Zero and undefined slope • 6-4 – Slope-Intercept Equations for Lines • 6-5 – Equations for Lines with a Given Point and Slope • 6-6 – Equations for Lines through Two Points • 6-7 – Fitting a Line to Data o Linear Regression concepts • 6-8 – Standard Form of the Equation of a Line o Going between standard form and slope-intercept form • 6-9 – Graphing Linear Inequalities

• 8-1 – The Multiplication Counting Principle o Scientific notation and powers

• 9-1 – The Function with Equation y = ax2 • 9-2 – Solving ax2 = b • 9-3 – Graphing y = ax2 + x + c  • 9-4 – Quadratics and Projectiles o Physics formula, height over time • 9-5 – The Quadratic Formula • 9-6 – Analyzing Solutions to Quadratic Equations o Using the discriminant • 9-7 – More Applications of Quadratics: Why Quadratics are Important

• 10-1 – An Introduction to Systems o Solving systems using tables and graphs o Cost and revenue equations • 10-2 – Solving Systems Using Substitution • 10-3 – More Uses of Substitution • 10-4 – Solving Systems by Addition (Elimination) • 10-5 – Solving Systems by Multiplication (More Elimination) • 10-6 – Systems and Parallel Lines o Parallel and coincident lines • 10-9 – Systems of Inequalities

• 12-1 – Graphing Vertex Form of Quadratics • 12-2 – Completing the Square • 12-3 – The Factored Form of a Quadratic Function o Why is the factored form useful • 12-4 – Factoring x2 + bx + c • 12-5 – Factoring ax2 + bx + c

**Sequence:**
6th Mathematics 7th Pre-Algebra 8th Algebra I 8th Advanced Algebra 1 9th Algebra I 9th Algebra 2 (Adv) 10th Geometry (Reg) 10th Trig / Analytic Geometry (Adv) 11th Algebra 2 (Reg) 11th Pre-Calculus (Adv) 12th Precalculus 12th AP Statistics

[[Resources ]] [[Mathematics ]] [[home|Home ]]