Segment A of Math Essentials teaches that numbers, measures, expressions, equations, and inequalities can represent mathematical situations and structures in many equivalent forms. This first part of the course takes students through a review of basic arithmetic tasks like adding, subtracting, multiplying and dividing, including work with decimals. They will then move on to working with fractions and percents.

Segment B of this course teaches that patterns are repeating sequences that can be created using everyday objects. An understanding of problem-solving strategies is needed to solve problems using real-world and make-believe situations. It is important to be able to solve and analyze problems related to everyday situations. An understanding of the monetary system and how to count it is necessary in real-life situations. Operations that involve the use of money are similar to numbers and involve a student’s knowledge of basic facts. Part B moves students through graphing functions, polynomials, and factoring.

**PRE-REQUISITES:** none

**ESTIMATED COMPLETION TIME:** For both segments 32-36 weeks or approximately 125 – 135 hours

**MAJOR TOPICS AND CONCEPTS — SEGMENT A**

Whole Number and Decimal Computations

- Basic Math Facts and Estimation
- Multiplying Large Numbers
- Dividing by 1 and 2 Digit Divisors
- Order of Operations
- Place Value of Decimals
- Adding and Subtracting Decimals
- Multiplying and Dividing Decimals
- Comparing and Ordering Decimals

Fractions and Percent

- Simplifying Fractions
- Adding and Subtracting Fractions With Like and Unlike Denominators
- Multiplying and Dividing Fractions
- Percents, Fractions, and Decimals
- Finding the Percent of a Number
- Solving Percent Problems Using Proportions
- Finding Percent of Change
- Simple and Compound Interest

Equations and Inequalities

- Evaluating Expressions
- Solving One Step Linear Equations
- Solving Two Step Linear Equations
- Solving Multi-Step Linear Equations
- Solving and Graphing One Step Inequalities
- Multi-Step Inequalities
- Word Problems

Data Analysis and Probability

- Reporting Frequency
- Random Samples and Surveys
- Scatter Plots
- Exploring Probability
- The Multiplication Counting Principle
- Combinations and Permutations

**MAJOR TOPICS AND CONCEPTS — SEGMENT B**

Graphing Functions

- Plotting Ordered Pairs
- Determining and Continuing Patterns
- Input/Output Tables
- Finding The Slope of a Line
- Graphing Linear Equations
- Graphing Linear Patterns within a Coordinate Plane (Function Notation)

Geometry

- Points, Lines, Planes, And More
- Angles
- Triangles
- Quadrilaterals
- Polygons And Circles
- Polyhedra
- Line Symmetry and Reflections
- Translations

Measurement

- Area of a Parallelogram
- Perimeter and Area of a Triangle
- Circumference and Area of a Circle
- 3-Dimensional Shapes
- Pythagorean Theorem
- Application of Pythagorean Theorem

Polynomials and Factoring

- Adding and Subtracting Polynomials
- Multiplying Polynomials
- Factor Polynomials with GCF
- Factor with AC Grouping
- Factor with Difference of Perfect Squares
- Solving Equations by Factoring
- The Quadratic Formula

**LINKS TO FULL COURSE CURRICULUM MAPS**