Week 1
Lesson 1
Integer Operations
We will learn and practice how to add, subtract, multiply, and divide positive and negative numbers.
 Week 2
Lesson 2
Distributive Property
Walk through the process of distributing integers and variables to other integers and variables (polynomials).
 Week 3
Lesson 3
Combining Like Terms
Building upon the previous weeks' skills, students will identify and group like terms. We will cover what makes a term unique and use concrete examples to build conceptual understanding.
 Week 4
Lesson 4
Solving One-Step Equations
Learn the mechanics of solving a one-step equation. We go back to the basics to give students conceptual understanding of the strategies used to solve equations
 Week 5
Lesson 5
Solving One-Step Equations (Word Problems)
Students will be able to read word problems and construct an equation from the given information. Students will also be creating their own word problem and solving!
 Week 6
Lesson 6
Solving Two-Step Equations
We kick it up a notch this week to tackle two-step equations. Students will learn the optimal way to solve these types of problems.
 Week 7
Lesson 7
Solving Two-Step Equations (Word Problems)
Students will master the art of creating algebraic expressions from word problems. They will create their own word problem that requires a two-step solution.
 Week 8
Lesson 8
Solving Through Substitution
Various examples will be given to students to demonstrate how to plug variables into expressions. The types of problems given this week will simultaneously serve as a review of the previous weeks.
 Week 9
Lesson 9
Pythagorean Theorem
This first section of Pythagorean Theorem will cover the reasoning behind why the formula works, the formula itself, and basic use of solving through substitution with the formula.
 Week 10
Lesson 10
Pythagorean Theorem
We will conclude semester 1 through challenging Pythagorean Theorem problems that incorporate all of the previous weeks' content. Students' hard work will pay off as they use their refined math skills to solve these problems.
 Week 11
Lesson 11
Graph Basics
We will review/learn the basic parts of the coordinate plane. Students will familiarize themselves with plotting points, the quadrants, and identifying distance on a graph.
 Week 12
Lesson 12
Proportional Relationships
Students will use word problems to graph points on a line. We will observe what connecting those points indicates and how linear relationships can be helpful in the real world. (k=y/x)
 Week 13
Lesson 13
Non-Proportional Relationships
Building upon the previous weeks' skills, students will move into functions that have y-intercepts that do not equal zero. These will come from word problems. Students will see how they differ and are similar to proportional relationships. (y=mx+b)
 Week 14
Lesson 14
Slope from a Graph
This week we introduce slope as a core concept of this course. We discuss the meaning of slope, its uses, and how to find it on a graph.
 Week 15
Lesson 15
Slope from a Table or Two Points
For the second week of slope, students will reference proportional and non-proportional tables to identify the slopes of those relationships.
 Week 16
Lesson 16
Slope From an Equation
For the third week of slope, learners will analyze equations in slope-intercept form to identify the slope.
 Week 17
Lesson 17
Forms of Linear Equations (part 1 of 2)
Students learn the "tools" of working with linear equations. They learn about slope-intercept form, standard form, and point-slope form. Students will have to decide which form is appropriate to use with the given information.
 Week 18
Lesson 18
Forms of Linear Equations (part 2 of 2)
After learning the different forms of linear equations, students will spend time manipulating equations and gaining proficiency at using these forms.
 Week 19
Lesson 19
Parallel and Perpendicular Lines
Using our previous knowledge from the course, students will discover interesting facts about the slopes of parallel and perpendicular lines. They will identify the slopes of each and determine a rule based on their findings.
 Week 20
Lesson 20
Distance on a Graph
Students will use their skills to find the distance on a graph. This will include plotting points and using the Pythagorean Theorem (distance formula) to find the length of diagonal lines.