# Ms. Minner's Classroom

A Louisville Middle School Classroom

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.

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.

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.

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.