# ESSENTIALS OF MATHEMATICS ACADEMIC LIBRARY

## Essentials of Math Online

##### UNIT 1 – NUMBER SENSE

- Course Overview
- Reviewing Rational Numbers
- Adding decimals example 1
- Adding decimals example 2
- Adding decimals example 3
- Subtracting decimals
- Subtracting decimals up to hundredths
- Adding fractions with like denominators
- Adding fractions with common denominators
- Subtracting fractions
- Subtracting fractions with common denominators
- Multiplying fractions and mixed numbers
- Dividing Mixed Numbers
- Exponent rules part 1
- Exponent rules part 2

- Absolute Value and Integers
- Absolute value and number lines
- Absolute value 1
- Absolute value of integers
- Adding numbers with different signs
- Adding negative numbers
- Learn how to add and subtract negative numbers
- Multiplying positive and negative numbers
- Multiplying numbers with different signs
- Why a negative times a negative is a positive
- Dividing positive and negative numbers

- Quiz 1: Reviewing Rational Numbers
- Converting Fractions to Decimals and Percents
- Working with Percents (1) Increase and Decrease
- Working with Percents (2) Applications of Percents
- Quiz 2: Fractions, Decimals, and Percents
- Fractions and Factoring
- Using Exponent Rules
- Exponents in Scientific Notation
- Negative Whole-Number Exponents
- Powers and Roots
- Quiz 3: Fractions and Factoring, Exponents, Powers and Roots
- Test

##### UNIT 2 – STATISTICS, DATA, ANALYSIS, AND PROBABILITY

- Measures of Central Tendency
- Evaluating Statistical Claims
- Displaying and Comparing Data Sets
- Quiz 1: Working with Data
- Outcomes
- Representing Probabilities
- Independent and Dependent Variables
- Quiz 2: Probability
- Test

##### UNIT 3 – ALGEBRA AND FUNCTIONS

- Order of Operations
- Working with Exponents and Roots
- The Distributive Property
- Add and Subtract Polynomials
- Multiply and Divide Polynomials
- Quiz 1: Simplifying Expressions
- Inverse Operations
- Solving Two-Step Equations and Inequalities
- Solving two-step equations (Use your previous assignments on Order of Operations and the Distributive Property in this assignment as needed. Those videos are listed below and use them as needed as you work on this assignment and communicate with your teacher)
- Introduction to order of operations
- Order of operations example
- Order of operations, but more complicated
- Order of operations with exponents examples
- Order of operations with exponents
- The distributive property
- The distributive property 2
- Distributive property example 1

- Writing Mathematical Statements
- Quiz 2: Solving Equations and Inequalities
- Test

##### UNIT 4 – MEASUREMENT AND GEOMETRY

- Measurement Systems
- Scale Drawings and Models
- Measures of Rates and Products
- Perimeter and Area: 2D Figures
- Surface Area and Volume: 3D Figures
- Quiz 1: Measurement and Geometry
- Converting Between Units of Measure
- Complex 2D Objects
- Complex 3D Objects
- Geometric Shapes: Scale Factors
- Quiz 2: Complex Objects
- Pythagorean Theorem
- Coordinate Graphs
- Transformations and Congruent Figures
- Quiz 3: Coordinate Geometry
- Test

##### UNIT 5 – MATHEMATICAL REASONING

- Analyzing Problems
- Making Conjectures
- Estimation (1)
- Estimation (2)
- Inductive and Deductive Reasoning
- Solving Problems (In this lesson use material learned from previous lessons in this unit, instructional presentations on the topics in this unit, previous learning along with communication with your teacher)
- Quiz 1: Mathematical Reasoning
- Test

##### UNIT 6 – ALGEBRA I

- Graphs and Charts
- Represent Data
- Graphing Linear Functions
- Parallel Lines
- Solutions of Linear Equations
- Graphing Higher Power Functions
- Solving Quadratic Equations using the Quadratic Formula – Example 1
- Solving Quadratic Equations using the Quadratic Formula – Example 2, Complex Solutions
- Solving Quadratic Equations using the Quadratic Formula – Example 3
- Graphing Quadratic Functions – Example 1
- Solving Quadratic Equations by Graphing
- Graphing Cubic Functions

- Quiz 1: Graphing
- Solving Absolute Value Inequalities
- Solving Linear Equations
- Solving Linear Inequalities
- Quiz 2: Equations
- Multi-Step Word Problems (Rate)
- Multi-Step Word Problems (Work)
- Multi-Step Word Problems (Percent Mixture)
- System of Equations
- System of Linear Inequalities
- Quiz 3: Equations
- Test