Course List

UNIT 1: Equations and Inequalities Balance Method, Balance Puzzles, Subtraction and Parentheses, Multiplying a negative, Inequalities graphing UNIT 2: Base Arithmetic Binary Numbers, Adding and Subtracting Binary Numbers, Multiplying Binary Numbers, Other Bases UNIT 3: Indices and Standard Form Index Notation, Laws of Indices, Negative Indices, Fractional Indices UNIT 4: Linear Graphs and Equations Coordinates, Straight Line Graphs, Slope, Linear Equations, Parallel and Perpendicular Lines, Systems of Equations, Equations in Context UNIT 5: Probability Probability Scale, Probability of a Single Event, The Probability of Two Events, Theoretical and Experimental Probabilities UNIT 6: Transformations Shapes, Translations, Enlargements, Reflections, Rotations, Combining Transformations UNIT 7: Sequences Constant Differences, Formula for a Linear Sequence, Second Differences and Quadratic Sequences, Special Sequences UNIT 8: Algebraic Manipulation Equations, Formulae and Identities, Simplifying Expressions, Factoring, Using Formula UNIT 9: Trigonometry Pythagoras' Theorem, Trigonometric Functions, Calculating Sides, Calculating Angles UNIT 10: Cumulative Frequency Averages, Grouping Data, Cumulative Frequency, Box and Whisker Plots,

UNIT 1: Quadratic Functions and Equations Vertex; Domain and Range; Axis of Symmetry; x- and y- intercepts; Solving Quadratic Equations; Vertex Form; Standard Form; Completing the Square; Finding the Roots; Quadratic Function Graph and Analysis UNIT 2: Systems of Equations and Inequalities Algebraically and Graphically Solving System of Equations in one variable; Solving Problems involving Systems of Linear-quadratic and Quadratic-quadratic Equations in two variables; Solve Problems involving Linear and Quadratic inequalities in two variables; Solving Problems involving Quadratic Inequalities in one variable UNIT 3: Radical Function Adding & Subtracting Radicals; Simplifying Radicals; Multiplying Radicals; Rationalizing Radical Denominators; Solving Radical Equations; Radical Function UNIT 4: Absolute Value Function and Reciprocal Function Absolute Value Expressions; Solving Absolute Value Equations; Absolute Value Function; Reciprocal Functions UNIT 5: Rational Expressions and Equations Rational Expressions and Operations; Solving Rational Equations; Rational Function UNIT 6: Polynomial Function Polynomial Expressions, Polynomial Operations; Equations and Graphs of Polynomial Functions UNIT 7: Sequences and Series Arithmetic Sequences; Arithmetic Series; Geometric Sequences; Geometric Series; Infinite Geometric Series UNIT 8: Trigonometry Angles in Standard Position; Trigonometric Ratios in Any Position; Sine Law; Cosine Law; Ambiguous Case of Sine Law; Sine & Cosine Law Applications

UNIT 1: Square Roots & Surface Area Square Roots of Perfect and Non-Perfect Squares, Surface Area of Composite Objects UNIT 2: Powers & Exponent Laws Powers, Powers of Ten, Zero Exponent, Order of Operations with Powers, Exponent Laws UNIT 3: Rational Numbers Rational Numbers, Adding/Subtracting/Multiplying/Dividing Rational Numbers, order of Operations with Rational Numbers UNIT 4: Linear Relations Writing Equations to Describe Patterns, Linear Relations, Matching Equations and Graphs, Using Graphs to Estimate Values UNIT 5: Polynomials Modelling Polynomials, Like & Unlike Terms, Adding/Subtracting Polynomials, Multiplying/Dividing a Polynomial by a Constant and a Monomial UNIT 6: Linear Equations and Inequalities Solving Equations, Linear Equalities, Solving Linear Inequalities UNIT 7: Similarity and Transformations Scale Diagrams, Enlargements, Reductions, Similar Polygons, Similar Triangles, Reflections, Line Symmetry, Rotations, Rotational Symmetry, Identifying Types of Symmetry UNIT 8: Circle Geometry Properties of Tangents to a Circle, Properties of Chords to a Circle, Properties of Angles in a Circle UNIT 9: Probability & Statistics Probability, Potential Problems with Collecting Data, Using Samples and Population to Collect Data, Selecting Samples, Designing a Project Plan

Unit 1 – Transformations Horizontal and vertical translations; Reflections; Horizontal and vertical stretches; Function Transformations Unit 2 - Exponential & Logarithmic Functions Solving Exponential Equations; Exponential Function; Defining a Logarithm; Logarithmic function & Properties; Laws of Logarithms; Solving Logarithmic Equations; Exponential Applications; Applications of Logarithmic Scales Unit 3 - Trigonometry I Standard Position Angles and Trigonometric Ratios; Radian Measure and Arc Length; Solving Equations involving Sine or Cosine; Graphing Trigonometric Functions; Writing Equations for Trigonometric Functions; Applications of Trigonometric Functions Unit 4 - Trigonometry II Solving Trigonometric Equations; Trigonometric Identities; Pythagorean Identities; Sum and Difference Identities; Double Angle Identities; Solving Trigonometric Equations with Identities Unit 5 – Permutations & Combinations Fundamental Counting Principle; Permutations and Factorial Notation; Permutations with Restrictions and Repetition; Permutations with Repetitions; Combinations; Pascal’s Triangle and the Binomial Theorem; Pathway Problems

UNIT 1: Patterns in Whole Numbers Factors and Multiples, Squares and Square Roots, Number Patterns, Pythagorean Theorem, Pythagorean Triples, Exponents, Evaluating Powers, Negative Exponents, Scientific Notation, UNIT 2: Fractions and Decimals Equivalent fractions, adding and subtracting fractions, Combining Fractions, Exploring Repeated Addition, Multiplying Decimals, Dividing Decimals, Order of Operations with Decimals, Simplifying, Computing Expressions UNIT 3: Rates and Ratios Ratios, Equivalent Ratios, Comparing Ratios, Applications of Ratios, Proportions, Similar Shapes, Multi-Part Ratios, Rates, Speed UNIT 4: Percents Percents, Relating Fractions, Decimals, and Percents, Estimating and Calculating Percents, Multiplying to Find Percents, Common Percents UNIT 5: Geometry & Measurement Surface area and volume, Views of Solids, Nets, 3D solids UNIT 6: Statistics and Probability Counting, Computing Probability, Coin Flips, Dice Rolls, Geometric Probability, Independent Events, Pairs, Averages, Extremes, Averaging Averages, Range & Mode, Histograms & Line graphs UNIT 7: Sequences Patterns, nth terms, Number Sequences, Arithmetic Sequences, Geometric Sequences, Triangular Numbers, Fibonacci Sequences UNIT 8: Expressions & Equations Multiplication & Division, Division as a Fraction, Like terms, Combining Like Terms, Simplifying Expressions, Inverse Operations, Single-step & Multi-Step Equations, Consecutive Numbers

UNIT 1: Factors, Multiples, Radicals, Exponents Factors & Multiples; Primes & Composites; GCFs & LCMs; Squares, Cubes & Roots; Irrational Numbers; Radicals; Fractional Exponents; Negative Exponents UNIT 2: Factoring Trinomials Polynomials Factoring; Multiplying Polynomials; Factoring; Special Trinomials Factoring UNIT 3: Linear Relations and Functions Relation Representing; Functions; Relations & Functions Graphing; Properties of Linear Relations; Interpreting Linear Functions UNIT 4: Linear Equations Slope of Lines; Parallel & Perpendicular Lines; Line Graphing; Slope-point & Standard Form; Slope-intercept Form; General Form UNIT 5: Systems of Equations Linear Equations Graph; Linear Equations Substitution; Linear Equations Elimination; Linear Equations Possible Solutions UNIT 6: Measurement, Areas, Volumes Measurements; Surface Area of Pyramids & Cones; Area & Volume of Sphere; Surface Area & Volume of Composite Objects UNIT 7: Trigonometry Tangent Sine & Cosine; Trig Ratios Applications; Measuring Inaccessible Heights; Applying Trig Ratios

Unit 1 – Limits Definition, Calculations, Interpretation Unit 2 – Derivatives and Applications of Derivatives Definition, Rules of differentiation, Derivatives applied to Polynomials & Rational Functions, Exponential Functions, Logarithmic Functions, and Trigonometric Functions Unit 3 - Extreme Values & Curve Sketching Derivatives related to rates, optimization and other problems Unit 4 - Antiderivatives and Differential Equations Definition, antiderivative methods Unit 5 – The Definite Integral & Applications of the Definite Integral Integration methods, Calculate area under curves