Common Core Math 1 Lessons (Algebra)

Unit 1

One Variable Statistics
Measures of Center
Standard Deviation
Measures of Spread

Unit 2A

Patterns and Sequences
Squares and Square Roots
Estimating Square Roots
Cube and Cube Roots
Converting Repeating Decimals to Fractions
Converting Repeating Decimals to Fractions (shortcut)
Real Numbers
Absolute Value/Comparing and Ordering Numbers
Simplifying Radicals
Zero and Negative Exponents
Multiplying Exponents
Dividing Exponents
Scientific Notation

Unit 2

Rational Exponents
Order of Operations/Simplifying Expressions
Writing Expressions
Distributive Property/Combining Like Terms/Evaluating
One-Step Equations
Two-Step Equations

Multi-Step Equations

Variables on Both sides of Equation

Equations and Problem Solving

Inequalities and Their Graphs
Solving One and Two Step Inequalities
Solving Multi-Step Inequalities
The Pythagorean Theorem
Distance and Midpoint Formulas
Volume and Area of Cones,Pyramids,Prisms, Cylinders and Spheres
Transforming Formulas

Unit 3: Functions

Recursive Equations
Relations and Functions
Relating Graphs to Events
Function Rules, Tables and Graphs
Writing a Function Rule
Graphing Absolute Value Equations

Unit 4: Linear Functions

Direct Variation
Rate of Change and Slope
WCPSS: supplemental video on interpreting slope and y-intercept
Slope Intercept Form
Parallel and Perpendicular Lines
Standard Form
Point – Slope Form and Writing Linear Equations
Scatter Plots and Equations of Lines

Unit 5: Exponential Functions

Exponential Functions
Exponential Growth
Exponential Decay

Unit 6: Quadratic Functions

Adding and Subtracting Polynomials
Multiplying and Factoring Polynomials
Multiplying Binomials
Exploring Quadratic Graphs
Quadratic Functions
Factoring to Solve Quadratic Equations
Factoring Trianomials of x² + bx + c
Factoring Trinomials of ax² + bx + c
Choosing Linear, Quadratic or Exponential Models

Unit 7: Systems of Equations

Graphing Systems of Equations
Solving Systems of Equations by Substitution
Solving Systems of Equations by Elimination
Linear Inequalities
Systems of Linear Inequalities

Unit 8: Two Variable Statistics and Misc.

Distance and Mid-Point Formula
Two-Way Tables

Misc. Videos

Solving Systems of Equations Using Matrices
Applications of Linear Equations
Solving Systems of Linear Inequalities

Finding and Estimating Square Roots

Factoring by Grouping

Operations with Radical Expressions

Solving Radical Equations