Linear means “straight line.” A linear equation is an equation whose solution when graphed forms a straight line. Linear equations can be either proportional (*y=kx*) in which *k* represents the constant of proportionality (rate of change), or they can be nonproportional (*y=mx+b*) in which *m* represents the slope (rate of change) and b represents the point at which the line intersects the *y*-axis. This point of intersection with the *y*-axis is called the *y*-intercept. If you know the slope and *y*-intercept of a line, it is easy to write an equation that represents the line in slope-intercept form (*y=mx+b*). Given an equation in slope-intercept form, you can also use the *y*-intercept and slope to graph the line. Remember, that in order for a relationship to be proportional, the origin (0, 0) must be one solution of the equation. Any point on the graphed line representing a linear equation is a solution for that equation. Points on the line represent ordered pairs (values) that will make the equation true.

### Monday, December 11

Common Core Standards and Extended Standards

8.EE.6 Understand the connections between proportional relationships, lines, and linear equations.

Create and solve ratios.

Represent proportional relationships.

Use ratios to solve real-world problems.

Ratios and proportional relationships can be used to determine unknown quantities.

8.F.4 Use functions to model relationships between quantities.

Specific input will yield specific output.

Compare/contrast two different input/output relationships.

Equations of linear and non-linear functions

Construct a linear graph using a table or equation.

Construct a linear graph as described verbally.

Student Objectives

Given a graphed line, an input/output table, or two ordered pairs, I can determine the slope.

I can identify proportional and non-proportional relationships.

I can graph, create tables, and write equations for proportional and non-proportional relationships.

Bellwork

Students will complete *Math Minute 52*.

Complete Lure of the Labyrinth vocabulary in Google forms.

Lesson (Slope Quiz Retake/Lure of the Labyrinth Mineshaft Puzzles 1, 2, & 3)

1. Go over original slope quiz.

2. Review plotting points, writing ordered pairs, determining slope from a graph, and calculating slope from 2 points using the slope formula: IXL, bingo, and task cards.

3. Retake slope quiz.

4. Lure of the Labyrinth: Mineshaft puzzles 1, 2, & 3 lesson plan

Closing

Homework

Work on the IXL modules 4/5 to-do list. Work on any incomplete items from the IXL module 7 and IXL module 3 to-do lists. Finish the Mineshaft graphs packet.

### Tuesday, December 12

Shortened class due to state testing

Common Core Standards and Extended Standards

8.F.4 Use functions to model relationships between quantities.

Specific input will yield specific output.

Compare/contrast two different input/output relationships.

Equations of linear and non-linear functions

Construct a linear graph using a table or equation.

Construct a linear graph as described verbally.

Student Objectives

Given a graphed line, an input/output table, or two ordered pairs, I can use a coordinate graph to determine slope.

I can classify positive, negative, zero, and undefined slopes.

Bellwork

Students will complete *Math Minute 53*.

Lesson (Lure of the Labyrinth Mineshaft Puzzles continued)

1. Finish Mineshaft puzzles 1, 2, and 3 lesson plans from Monday.

2. Pass back slope retake quiz and go over correct answers.

3. IXL module 4/5 to-do list

Closing

Homework

Work on IXL modules 4/5 to-do list. Work on any incomplete items from the IXL module 7 and IXL module 3 to-do lists.

Links

Check out my slope links page. You can locate this page by typing “slope” in the search box on any page of my website. There is also a links page in the non-proportional relationships folder of our Schoology course.

### Wednesday, December 13

Shortened class due to state testing

Common Core Standards and Extended Standards

8.F.4 Use functions to model relationships between quantities.

Specific input will yield specific output.

Compare/contrast two different input/output relationships.

Equations of linear and non-linear functions

Construct a linear graph using a table or equation.

Construct a linear graph as described verbally.

Student Objectives

Given a graphed line, an input/output table, or two ordered pairs, I can use a coordinate graph to determine slope.

I can classify positive, negative, zero, and undefined slopes.

Bellwork

Students will complete *Math Minute 54*.

Lesson (Y-Intercept & Slope-Intercept Form)

1. Class challenge:

2. Introduction to slope-intercept form: discovery half-sheet with a partner

3. Guided notes and demonstration: y-intercept and slope-intercept form

4. Blended learning: IXL modules 4/5 to-do list

Closing

Homework

Work on IXL modules 4/5 to-do list. Work on any incomplete items from the IXL module 7 and IXL module 3 to-do lists.

Links

Check out my slope links page. You can locate this page by typing “slope” in the search box on any page of my website. There is also a links page in the non-proportional relationships folder of our Schoology course.

### Thursday, December 14

Snow Day

### Friday, December 15

Shortened class due to state testing

Common Core Standards and Extended Standards

8.F.4 Use functions to model relationships between quantities.

Specific input will yield specific output.

Compare/contrast two different input/output relationships.

Equations of linear and non-linear functions

Construct a linear graph using a table or equation.

Construct a linear graph as described verbally.

Student Objectives

Given a graphed line, an input/output table, or two ordered pairs, I can use a coordinate graph to determine slope.

I can classify positive, negative, zero, and undefined slopes.

Bellwork

Students will complete *Math Minute 55*.

Lesson

1. IXL continuous diagnostic: 10 minutes

2. Blended learning: IXL module 4/5 to-do list

Closing

n/a

Homework

Work on IXL modules 4/5 to-do list. Work on any incomplete items from the IXL module 7 and IXL module 3 to-do lists.

Links

Check out my slope links page. You can locate this page by typing “slope” in the search box on any page of my website. There is also a links page in the non-proportional relationships folder of our Schoology course.