## Everything You Need to Ace Math in One Big Fat Notebook The Complete Middle School Study Guide

Unit 1: The NUMBER SYSTEM

- Types of Numbers and the Number Line
- Positive and Negative Numbers
- Absolute Value
- factors and Greatest Common factor
- Multiples and Least Common Multiple
- fraction Basics: Types of fractions, and Adding and Subtracting fractions
- Multiplying and Dividing fractions
- Adding and Subtracting Decimals
- Multiplying Decimals
- Dividing Decimals
- Adding Positive and Negative Numbers
- Subtracting Positive and Negative Numbers
- Multiplying and Dividing Positive and Negative Numbers
- Inequalities

Unit 2: RATIOS, PROPORTIONS, and PERCENTS

- Ratios
- Unit Rate and Unit Price
- Proportions
- Converting Measurements
- Percent
- Percent Word Problems
- Taxes and fees
- Discounts and Markups
- Gratuity and Commission
- Simple Interest
- Percent Rate of Change
- Tables and Ratios

Unit 3: EXPRESSIONS and EQUATIONS

- Expressions
- Properties
- Like Terms
- Exponents
- Order of Operations
- Scientific Notation
- Square and Cube Roots
- Comparing Irrational Numbers
- Equations
- Solving for Variables
- Solving Multistep Equations
- Solving and Graphing Inequalities
- Word Problems with Equations and Inequalities

Unit 4: GEOMETRY

- Introduction to Geometry
- Angles
- Quadrilaterals and Area
- Triangles and Area
- The Pythagorean Theorem
- Circles, Circumference, and Area
- Three-Dimensional figures
- Volume
- Surface Area
- Angles, Triangles, and Transversal Lines
- Similar figures and Scale Drawings

Unit 5: STATISTICS and PROBABILITY

- Introduction to Statistics
- Measures of Central Tendency and Variation
- Displaying Data
- Probability

UNIT 6: The COORDINATE PLANE and FUNCTIONS

- The Coordinate Plane
- Relations, Lines, and functions
- Slope
- Linear Equations and functions
- Simultaneous Linear Equations and functions
- Nonlinear functions
- Polygons and the Coordinate Plane
- Transformations
- Proportional Relationships and Graphs

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