Line or Curve of Best Fit Lesson #4: Slope-Intercept Form
Context
There are many different ways to come up with equations for lines depending on what kind of data is given in a particular problem. Students will need to make sure they can identify the right time to use a formula. They don't need to just memorize, but they instead need to understand why a certain formula works in one instance but can't be used in another. The students have worked with slope already in a previous section, so they should be familiar with the concept and what it measures.
Objectives
1. Students will understand how to find and use the slope-intercept form.
2. Students will be able to graph equations that are in standard and slope-intercept form.
Connections
MA-HS-5.3.2
Students will solve for a specified variable in a multivariable equation.
Assessment Plan
Objective Number Type of Assessment Description of Assessment Depth of Knowledge Level Adaptations and/or Accommodations
1. Students working in pairs, homework from book The students will get back into the same pairs as earlier in the unit. Each pair must now come up with a graph of a line and its equation in slope-intercept form. They must label intercepts and the two points on the graph they used to calculate the slope. Each pair must present their graph to the class and explain how they came up with the answer. The student that did not explain the previous time must do the explaining this time. Students also have a homework assignment that will be turned in for a quiz grade the next day. DOK II
2. Homework from Book The students will have a homework assignment that will be turned in for a quiz grade the next day. DOK I If I feel the students aren't catching on as quick as I hoped, I will put the homework assignment off for another day.
Resources, Media and Technology
-Graph paper
Procedures
The students will begin class with bell work coming from the introduction page for the section from the text. The students have to find the intercepts and the missing x- and y- values from the table. After that I will begin the lesson on slope-intercept form. I will clearly define each variable in the equation y = mx + b for the students and do several examples on the board for the students to see. As for graphing an equation in slope-intercept form, I will break down the process into several steps and show the students step-by-step how to come up with the graph. I will write a problem on the board and have the students do it at their seats, and then after a few minutes show them the correct way to do it. The students will then break off into pairs to try and complete graphs of their own. I will go around the class to see if anyone is having any problems. If I see that a good portion of the class is struggling with the same things then I will go to the board and try to give the students some further explanation on the subject. After the students finish their graphs they will come to the front of the class and present their graphs and explain it to the rest of the class. If time runs out, the first thing next day we will finish up the short presentations.
Published by Tom Lewis
I am a senior mathematics major at Western Kentucky University in Bowling Green, KY. I am just about to begin my student teaching semester at WKU. I have a big family all who live in the Nashville, Tennesse... View profile
- NteQ Lesson Plan for SE Hinton's the OutsidersThis is a lesson plan I created for my Master's program in Education for the novel The Outsiders by S.E. Hinton. It is designed for grades 8-12, and is easilly adaptable. It uses the NteQ lesson format, a format which...
- Algebra Help: How to Find the Equation of a Line that is Parallel or Perpendicula...A common skill the Algebra student should have is being able to find the equation of a line that is parallel or perpendicular to a given line. In this article I explain how parallel & perpendicular lines are related...
- Introduction to Linear Equations in AlgebraThis article introduces the concept of linear equations and demonstrates how to find the equation of a line that passes through two points. Four sample problems are provided.
- Algebra Help: Linear EquationsThis Q&A guide will attempt to explain in plain English what a linear equation is, and how to graph one.
Back to School and Beyond Algebra Math Online Homework HelpHere are some websites to help your child with algebra when they are going back to school and beyond.
- Algebra II Lesson Plan for the Classroom: Line or Curve of Best Fit
- Algebra II Lesson Plan: Writing Equations of Lines
- Algebra II Lesson Plan: The Slopes of Lines
- Algebra II Lesson Plan: Functions and Their Graphs
- Teacher's Guide: Mathematics Lesson Plan for the Best Fit Line or Curve
- Kindergarten and Preschool Alphabet Lesson Plan for Letter E
- Lesson Plan: Understanding Memoir

