1. Linear Equations
1.1 Solving Simple and two variable Equations
1.2 Solving Absolute Value Equations
1.3 Rewriting Equations and Formulas
2. Linear Inequalities
2.1 Writing and Graphing Inequalities
2.2 Solving Inequalities Using Addition and Subtraction
2.3 Solving Inequalities Using Multiplication and division
2.4 Solving Multi-Step Inequalities
2.5 Solving Absolute value Compound Inequalities
3. Graphing Linear Functions
3.1 Functions – Relations – Domain – Ranges
3.2 Linear Functions
3.3 Graphing Linear Equations in Standard Form
3.4 Graphing Linear Equations in Slope-Intercept Form
3.5 Transformations of Graphs of Linear Functions
3.6 Graphing Absolute Value Functions
4.Writing Linear Functions
4.1 Writing Equations in Slope-Intercept Form
4.2 Writing Equations in Point-Slope Form
4.3 Writing Equations of Parallel and Perpendicular Lines
4.4 Scatter Plots and Lines of Fit
4.5 Analyzing Lines of Fit
4.6 Arithmetic Sequences
4.7 Piece-wise Functions
5. Solving Systems of Linear Equations
5.1 Solving Systems of Linear Equations by Graphing
5.2 Solving Systems of Linear Equations by Substitution
5.3 Solving Systems of Linear Equations by Elimination
5.4 Solving Special Systems of Linear Equations
5.5 Solving Equations by Graphing
5.6 Graphing Linear Inequalities in Two Variables
5.7 Systems of Linear Inequalities
6. Exponential functions and sequences
6.1 Properties of Exponents
6.2 Radicals and Rational Exponents
6.3 Exponential Functions
6.4 Exponential Growth and Decay
6.5 Solving Exponential Equations
6.6 Geometric Sequences
6.7 Recursively Defined Sequences
7. Polynomial equations and factoring
7.1 Adding and Subtracting Polynomials
7.2 Multiplying Polynomials
7.3 Special Products of Polynomials
7.4 Solving Polynomial Equations in Factored Form
7.5 Factoring of Polynomials
8.Graphing Quadratic functions
8.1 Graphing f (x) = ax2
8.2Graphingf(x)=ax2+c
8.3Graphingf(x)=ax2+bx+c
8.4Graphingf(x)=a(x−h)2+k
8.5 Using Intercept Form
8.6 Comparing Linear, Exponential,and Quadratic Functions
9. Solving Quadratic equations
9.1 Properties of Radicals
9.2 Solving Quadratic Equations by Graphing
9.3 Solving Quadratic Equations Using Square Roots
9.4 Solving Quadratic Equations by Completing the Square
9.5 Solving Quadratic Equations Using the Quadratic Formula
9.6 Solving Nonlinear systems of equations
10. Radical functions and equations
10.1 Graphing Square Root Functions
10.2 Graphing Cube Root Functions
10.3 Solving Radical Equations
10.4 Inverse of a Function
11. Data Analysis and displays
11.1 Measures of Center and Variation
11.2 Box-and-Whisker Plots
11.3 Shapes of Distributions
11.4 Two-Way Tables
11.5 Choosing a Data Display
Basics Of Geometry
Points, lines, and planes
Measuring and constructing segments
Using midpoint and distance formulas
Perimeter and area in the coordinate plane
Measuring and constructing angles
Describing pairs of angles
Reasoning and Proofs
Conditional statements
Inductive and deductive reasoning
Postulates and diagrams
Algebraic Reasoning
Proving statements about segments and angles
Parallel and Perpendicular Lines
Pairs of lines and angles
Parallel lines and transversals
Proofs with parallel lines
Proofs with perpendicular lines
Equations of parallel and perpendicular lines
Transformations
Translations
Reflections
Rotations
Congruence and transformations Dilations
Similarity and Transformations
Congruent Triangles
Angles of triangles
Congruent polygons
Proving triangle congruence by SAS
Equilateral and isosceles triangles
Proving triangle congruence by SSS
Proving triangle congruence by ASA and AAS
Using congruent triangles
Coordinate proofs
Relationships within Triangles
Perpendicular and angle bisectors
Bisectors of Triangles
Medians and altitudes of triangles
The triangle midsegment theorem
Indirect proof and inequalities in one triangle
Inequalities in two triangles
Quadrilaterals
Polygons and Its angles
Polygons continution and quadrilaterals
Parallelogram
Rectangle
Rhombus
Square
Trapezoid and Kite
Similarity of Triangles
Similarity and SSS Similarity of Triangles
SAS, AAA or AA Similarity
Perimeters and Area ratios of Similar triangles
Medians, Altitudes and Angle bisectors ratios of Similar triangles Proportionality Theorem
Angle bisector theorem
Right Angle and Trigonometry
The pythagorean theorem Special right triangles Similar right triangles
The tangent ratio
The sine and cosine ratio
Solving right triangles
Law of sines and law of cosines
Circles
Lines and Segments that intersect Circles Finding arc measures
Using Chords
Inscribed angles and Polygons
Angle relationships in Circles
Segment relationships in Circles
Circles in the Coordinate plane
Circumference, Area and Volume
Circumference and arc length Areas of circles and sectors Areas of polygons
3D figures
Volumes of prisms and Cylinders
Volumes of pyramids
Surface ares and volumes of cones
Surface ares and volumes of spheres
Probability
Sample spaces and probability
Independent and dependent events
Two way tables and probability
probability of disjoint and overlapping events Permutations and combinations
Binomial distributions
Functions
Functions and Relations Domain and Range
Even and odd functions Transformation of functions Trigonometric equations
Trigonometry
Graphs of Sine and cosine
Transformations of sine and cosine
Inverse trigonometric functions
Sinusoidal equations and models
Angle addition
Using trigonometric identities
Polynomials
Addition and subtraction of polynomials
Division of polynomials
Binomial theorem
Graphs of polynomial functions and solving equations Graphing rational functions and reciprocal functions
Exponential and Logarithms
Applications of exponential functions
Logarithms
Solving exponential and logarithmic equations
Graphing logarithmic functions
Conic sections
Feature of a circle
Equations of a circle
Center, radii, focii of an ellipse
Focus and directrix of a parabola
Hyperbola
Vectors
Introduction to vectors
Operations with vectors
Applications of vectors
Complex numbers
Complex numbers and imaginary numbers
The complex plane: Complex numbers
Addition, Subtraction and Multiplication of complex numbers
Distance and midpoint of complex numbers
Complex conjugates and dividing complex numbers
Identities with complex numbers
Absolute value and angle of complex numbers
Polar form of complex numbers, multiplication and division
Matrices
Introduction
Representing linear systems of equations with augmented matrices
Matrix row operations
Row-echelon form and Gaussian elimination
Addition, Subtraction, Multiplication of Matrices
Multiplying matrices by scalars
Properties of matrix addition & scalar multiplication
Properties of matrix multiplication
Matrices as transformations
The determinant of a 2×2 matrix
Finding the inverse of a matrix using its determinant
Solving equations with inverse matrices
Model real-world situations with matrices
Note: Any other topic as per inputs by students provided during the course will be covered