This resource includes:

-One Presentation for each section

-One Worksheet set with solutions for each section

-Reference Sheet for each unit

-Unit Test with solutions for each unit

Unit 1: Functions Review & Extensions

1.1 Review of functions & function notation
1.2 Domain and range (algebraic & graphical)
1.3 Average rate of change (review & extension)
1.4 Function representations (tables, graphs, equations, context)
1.5 Function operations: addition and subtraction
1.6 Function operations: multiplication and composition
1.7 Inverse relations vs inverse functions (conceptual)
1.8 Finding inverses of simple linear functions
1.9 Graphing a function and its inverse
1.10 Comparing linear, exponential, and new function types (quadratic preview)
1.11 Piecewise functions (review and slightly more complex cases)
1.12 Modeling with multiple function types from context

Unit 2: Quadratic Functions – Structure & Graphs

2.1 Recognizing quadratic functions from equations and graphs
2.2 Standard form of quadratics
2.3 Graphing quadratics in standard form (using a table)
2.4 Graphing in Vertex form: identifying vertex and transformations

2.5 Converting from standard form to vertex form (completing the square – conceptual)
2.6 Graphing quadratics in vertex form (shifts and stretches)
2.7 Factored form and finding roots
2.8 Connecting forms: standard, vertex, and factored (when each is useful)
2.9 Interpreting quadratic graphs in context (max/min, intercepts, intervals)
2.10 Choosing an appropriate quadratic model from data or a story

Unit 3: Solving Quadratic Equations & Inequalities

3.1 Zero-product property & solving quadratics by factoring (simple)
3.2 Factoring trinomials a=1
3.3 Factoring quadratics with leading coefficient a≠1
3.4 Solving quadratic equations by factoring in context problems
3.5 Solving quadratics by square roots
3.6 Solving  by completing the square
3.7 Deriving the quadratic formula
3.8 Using the quadratic formula
3.9 Discriminant and number/type of solutions
3.10 Solving quadratic inequalities graphically
3.11 Solving quadratic inequalities algebraically (factoring & sign charts)
3.12 Modeling and solving real-world problems with quadratic equations/inequalities

Unit 4: Polynomials – Operations & Structure

4.1 Polynomial terminology (terms, degree, leading coefficient)
4.2 Adding and subtracting polynomials (both representations)
4.3 Multiplying polynomials (area models and distributive property)
4.4 Special products
4.5 Factoring out the greatest common factor (GCF)
4.6 Factoring special products (difference of squares, perfect square trinomials)
4.7 Factoring higher-degree polynomials (intro, simple cases)
4.8 Zeros of a polynomial and factors (graph–algebra connection)
4.9 Graph features of polynomial functions
4.10 Using polynomial expressions to model area, revenue, and other quantities
4.11 Interpreting key features of polynomial models in context

Unit 5: Rational & Radical Expressions

5.1 Simplifying radicals
5.2 Adding and subtracting like radicals
5.3 Multiplying and dividing radical expressions
5.4 Solving simple radical equations and checking for extraneous solutions
5.5 Intro to rational expressions as quotients of polynomials
5.6 Simplifying rational expressions
5.7 Multiplying and dividing rational expressions
5.8 Adding and subtracting rational expressions with common denominators
5.9 Adding and subtracting rational expressions with unlike denominators

Unit 6: Similarity, Right Triangles & Trigonometry

6.1 Review of similarity and proportional reasoning
6.2 Similar triangles criteria (AA, SSS, SAS for similarity)
6.3 Right triangles and the Pythagorean Theorem (review & extension)
6.4 Special right triangles (30–60–90 and 45–45–90)
6.5 Introduction to trigonometric ratios (sine, cosine, tangent)
6.6 Finding missing side lengths using trig ratios (right triangles)
6.7 Finding missing angles using inverse trig functions

Unit 7: Quadrilaterals & Coordinate Geometry

7.1 Overview of polygons with a focus on quadrilaterals
7.2 Properties of parallelograms
7.3 Properties of rectangles, rhombi, and squares
7.4 Trapezoids and kites (definitions and angle/side properties)
7.5 Coordinate proofs: using slope & distance to prove parallel/perpendicular or congruent
7.6 More practice using the distance and midpoint formulas with quadrilaterals
7.7 Deriving area formulas for special quadrilaterals (parallelogram, triangle, trapezoid)
7.8 Area problems with composite figures involving quadrilaterals

Unit 8: Circles – Geometry & Algebra

8.1 Vocabulary of circles (radius, diameter, chord, tangent, secant, arc, sector) 

8.2 Central angles and arcs (measures & relationships)
8.3 Inscribed angles and arcs (relationship between inscribed angle and intercepted arc)
8.4 Angles formed by chords, secants, and tangents (inside and outside the circle)
8.5 Segment relationships in circles (chord-chord, secant-secant, secant-tangent)
8.6 Arc length formula and applications
8.7 Area of a sector and applications
8.8 Equation of a circle in the coordinate plane
8.9 Graphing circles from equations and writing equations from graphs

Unit 9: Probability & Counting Techniques

9.1 Review: experimental vs theoretical probability
9.2 Sample spaces, outcomes, and simple events
9.3 Compound events using organized lists, tables, and tree diagrams
9.4 Independent vs dependent events
9.5 Multiplication rule for independent events
9.6 Conditional probability
9.7 Using tables to compute conditional probabilities
9.8 Interpreting conditional probability in context (risk, fairness, decisions)
9.9 Introduction to counting principles (addition & multiplication rules)
9.10 Permutations vs combinations

9.11 Using counting methods to calculate probabilities

9.12 Designing and analyzing simulations for probability situations