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Mathematics 1, better known as Math 1, is a 9th grade course here in Georgia that caught many students and teachers by surprise. Here in Georgia, there needed to be a change in curriculum and the rigor of that curriculum - hence Math 1 was born.
Instead of taking Algebra 1, students in Georgia as freshmen in high school are enrolled in Math 1 or Accelerated Math 1. Both courses are a blend of Algebra 1, Geometry, and Statistics. Students that are in Math 1 or Accelerated Math 1 should have successfully completed their 8th grade math course. If your child has not, this site and many other like it should be your child's best friend (bookmark the homepage).
There are a few things that students can do to ensure their success in Math 1 through Math 4. Casio has some really advanced calculators that can aid students in the sometimes tedious work of simplifying math problems or multi-step operations.
Math 1 topics, as shown below, will be created and uploaded in due time. Please continue to check back as I hope to have all topics covered by the end of the school.
Pre-Requisite Knowledge for Math 1
Coming Soon
Algebra 1
Conversion of Units
Converting Feet to Miles and Miles to Feet | Converting Fahrenheit to Celsius & Celsius to Fahrenheit
Distance = Rate Multiplied by Time
Word Problems and the Use of the Distance Formula
Simplifying & Algebra-Based Operations with Rational Expressions
Rational Expressions: Adding Rational Expressions & Subtracting Rational Expressions | Rational Expressions: Multiplying Rational Expressions | Rational Expressions: Dividing Rational Expressions | Factoring & Simplifying Rational Expressions
Functions: A Relationship of Values - Inputs & Outputs
Function Notation & Evaluating Functions | The Domain & Range of Functions | Even Functions: Even Functions Are Symmetric | Odd Functions: Odd Functions Are Inverted About the Origin
Algebraic Operations With Polynomials
Adding and Subtracting Polynomials | The Distributive Property & Polynomials: Distribute or Multiply What is Outside | Factoring Polynomials: Finding the Greatest Common Factor | Factoring Polynomials with a = 1 | The Difference of Two Squares Identity | Multiplying Polynomials: Raised to the 2nd and 3rd Power | Multi-Step Factoring: A GCF & Other | Solving Quadratic Equations: Step-by-Step
Solving Quadratic Equations
Using the Zero Factor Property & Finding the Roots of Quadratic Equations | Solutions to Quadratic Equations Using Graphs
Radicals and the Pythagorean Theorem
Pythagorean Theorem: Finding the Length of A Side of A Triangle | Adding & Subtracting Radicals | Multiplying Radicals | Rationalizing the Denominators with Radicals | Finding the Length of A Diagonal, Given the Sides of A Square or Rectangle
Algebra & Simple Circuits
Coming Soon
Geometry
Similarity Between Shapes
Similar Triangles: Triangles With Proportional Sides | Similar Quadrilaterals: Squares & Rectangles With Proportional Sides
Area of Shapes
Area Formula: Finding the Area of a Triangle | Area Formula: Finding the Area of Quadrilaterals | Finding the Area of Polygons With Expressions or Polynomials
Volume of Shapes
Volume Formula: Finding the Volume of a Cube or Rectangular Prizm | Volume Formula: Finding the Volume of A Cylinder
The Cartesian Plane & Graphing
The Quadrants of the Cartesian Plane
Distance Between Two Points or Coordinates
Finding the Distance Between Two Coordinates: The Distance Formula
Transformations of Graphs
Reflections of Graphs Across the X Axis | Reflections of Graphs Across the Y Axis | Vertical Shifts of Graphs Up or Down
Symmetry of Shapes & Figures
Line Symmetry: A Line Can Be Drawn & Cut In Half | Point Symmetry: Movement About a Point or Coordinate | Rotational Symmetry: When it Rotates it Stays the Same |
Data Analysis & Probability
Data Analysis
Quartiles
Graphic Organizers: Frequency Tables & Dot Plots | Histograms | Box-and-Whisker Plots
Sample Space
Sample Space: Dependent Events | Sample Space: Independent Events
Measures of Central Tendency
Distributions or Shapes of Data
Negative Skew: Skewed Left | Positive Skew: Data is Skewed Right | Symmetric Distribution: No Skew
Measures of Variation
Interquartile Range: Q3 - Q1 | Range | Absolute Deviation & Mean Absolute Deviation (MAD)
Probabiility
Playing Cards & Probability | Counting Principle of Probability | Combinations: Choosing When Order Doesn't Matter | Expected Value: On Average, You Win $ | Factorials | Marbles & Probability | Multiplication Principle of Probability | Permutations: Choosing When Order Matters | Probability: A Value from 0 to 1 | Probability Based on Data in Tables | Simple Probability: Single Events | Spinner Probability: One Spin | Spinner Probability: Two Spins - No Zero | Spinner Probability: Two Spins - With Zero| Spinner Probability: Two Spins - With Bankruptcy
