Integrated Math I - MathRelieve

This course offers all of the topics listed in the modules and units.Please scroll down to see its content.

Module 1	Quantities and Relationships: Expressions and Equations
Unit 1	Solve for Single Variable Equations
Unit 2	Simplifying Algebraic Expressions
Unit 3	Expressions and Equations
Unit 4	Algebraic Expressions and Equations: Two Step Equations
Unit 5	Solve Multi-Step Equations (Using Like-Terms and the Distributive Property)
Unit 6	Solve Multi-Step Equations (Using Reciprocals)
Unit 7	Solving Equations and Proportions
Unit 8	Solve Proportions Using Cross-Products
Unit 9	Rewriting Equations and Formulas
Module 2	Graphs, Equations, and Inequalities
Unit 1	Mixed Problem Solving
Unit 2	Linear and Exponential Functions
Unit 3	Reading and Writing Math Symbols
Unit 4	Find the Speed
Unit 5	Application of Linear Systems: Solving Problems with Linear Equations (Includes Graphing Linear Functions)
Unit 6	Simple and Compound Interest (Linear vs. Exponential Functions)
Unit 7	Writing and Graphing Inequalities
Module 3	Graphing Linear Equations and Functions
Unit 1	Represent Relations and Functions (Domain & Range; Identifying Functions, Functions as Ordered Pairs)
Unit 2	Discrete and Continuous Functions
Unit 3	Slope and Rate of Change (Classify Lines by Slope; Parallel and Perpendicular Lines; Solve Multi-Step Problems)
Unit 4	Graph Equations of the Lines (Parent Functions, Slope-Intercept Form, Standard Form, Vertical and Horizontal Lines, Functions as Graphs)
Unit 5	Graph Linear Equations and Functions
Unit 6	Graph Using Intercepts
Unit 7	Graph Using Slope-Intercept Form
Unit 8	Prove Parallelograms/Rectangles
Module 4	Point-Slope Form, Sequences, and Scatter Plots
Unit 1	Write Equations or Lines in Slope Intercept
Unit 2	Writing Equations and Word Problems
Unit 3	Write and Graph Equations in Point-Slope Form (Given One Point and Slope)
Unit 4	Write Equations in Point Slope Form (Given Two Points)
Unit 5	Changing Equations from Point-Slope to Point-Intercept
Unit 6	Arithmetic Sequences
Unit 7	Writing Arithmetic Sequences as Functions
Unit 8	Write Equations of Parallel Lines
Unit 9	Write Equations of Perpendicular Lines
Unit 10	Scatter Plots
Unit 11	Linear Regressions
Module 5	Introduction to Geometry
Unit 1	Points, Lines, and Planes
Unit 2	Squares
Unit 3	Distance and Midpoint Formulas
Unit 4	Classifying Polygons on Coordinate Planes
Module 6	More Geometry: Points, Lines, Angles, and Planes
Unit 1	Segment Congruence
Unit 2	Midpoints and Segment Bisectors
Unit 3	Midpoint formula
Unit 4	Midpoint Point Formula (with Circles and Polygons)
Unit 5	Classify and Define Polygons
Unit 6	Angle Addition
Module 7	Transformations & Congruence
Unit 1	Pythagorean Theorem
Unit 2	Finding Distance Using the Pythagorean Theorem
Unit 3	Transformations
Unit 4	Basic Rotations and Reflections of Objects
Unit 5	Defining Geometric Shapes and Components
Unit 6	Reflecting and Rotating Points
Unit 7	Reflections and Rotations: Composing Reflections to Create Rotation
Unit 8	Rotations about the Origin
Unit 9	Polygons: Definitions and Names
Unit 10	Lines of Symmetry and Diagonals
Unit 11	Finding Angles of Rotation for Regular Polygons
Unit 12	Reflecting and Rotating Points on the Coordinate Plane
Unit 13	Defining Congruency and Similarity
Unit 14	Classifying Quadrilaterals Based on Their Properties
Unit 15	Describing a Sequence of Transformations
Unit 16	Performing a Sequence of Transformations
Unit 17	Triangle Congruencies
Unit 18	Graphing Functions and Making Comparisons
Unit 19	Sequences Reviewed (Arithmetic and Geometric)
Unit 20	Triangle Congruence Properties
Unit 21	Corresponding Parts of Figures and Transformations
Unit 22	Using Congruent Triangle Criteria and Transformations to Justify Conjectures
Unit 23	Explicit and Recursive Rules (for Visual Patterns)
Module 8	Constructions
Unit 1	Transformations of Lines
Unit 2	Triangle Congruence Properties
Unit 3	Geometric Constructions
Unit 4	Transformations of Lines, Algebraic and Geometric Thoughts
Unit 5	Transformations and Triangle Congruence
Unit 6	Triangle Congruence and Properties of Polygons
Module 9	Linear, Quadratic, and Exponential Functions
Unit 1	Determine the Functions (Recursive and Explicit Equations, Tables, and Graphs)
Unit 2	Graphing Parabolas: Factored Form
Unit 3	Standard Form of a Quadratic Equation
Unit 4	Rational Functions
Unit 5	Completing the Square
Unit 6	Graphing Lines Using the Intercepts
Unit 7	Identifying Vertex, Axis of Symmetry, Domain/Range, and Graphing Quadratic Functions in Vertex Form
Unit 8	Completing the Square to Write Quadratic Functions in Vertex Form
Unit 9	Creating Binomial Quadratics
Unit 10	Factoring Quadratic Expressions
Unit 11	Completing the Square to Write the Quadratic Function in Vertex Form
Unit 12	Multiplying Binomials Using a Two-Way Table
Unit 13	Factored Form of the Quadratic Function
Unit 14	Vertex Form of a Quadratic Function
Unit 15	Factoring Quadratic Equations
Unit 16	Modeling with Quadratic Functions
Unit 17	Factoring Quadratic Functions
Unit 18	Writing Vertex, Standard Form, and Factored Forms
Unit 19	Compression Factors and Translations of Quadratic Functions
Unit 20	Authentic Applications of Quadratic Functions
Unit 21	Properties of Exponents and Radicals
Unit 22	Converting Between Three Forms of Quadratic Functions
Unit 23	Graphing Quadratic Equations: Identifying Key Components