Beacon Lesson Plan Library
SlopeIntercept Form of a Linear Equation
Johnny Wolfe Santa Rosa District Schools
Description
This lesson discusses slopeintercept and standard forms of linear equations.
Objectives
The student selects the appropriate operation to solve problems involving addition, subtraction, multiplication, and division of rational numbers, ratios, proportions, and percents, including the appropriate application of the algebraic order of operations.
Understands and explains the effects of addition, subtraction, multiplication and division on real numbers, including square roots, exponents, and appropriate inverse relationships.
The student describes a wide variety of patterns, relationships, and functions through models, such as manipulatives, tables, graphs, expressions, equations, and inequalities.
Materials
 Overhead transparencies (if examples are to be worked on overhead) for SlopeIntercept Form of a Linear Equation (see attached file).
 Marking pens (for overhead).
 SlopeIntercept Form of a Linear Equation Examples (see attached file).
 SlopeIntercept Form of a Linear Equation Worksheet (see attached file).
 SlopeIntercept Form of a Linear Equation Checklist (see attached file).
Preparations
1. Prepare transparencies (if teacher uses overhead for examples) for SlopeIntercept Form of a Linear Equation Examples (see attached file).
2. Have marking pens (for overhead).
3. Have SlopeIntercept Form of a Linear Equation Examples (see attached file) prepared and ready to demonstrate to students.
4. Have enough copies of SlopeIntercept Form of a Linear Equation Worksheet (see attached file) for each student.
5. Have enough copies of SlopeIntercept Form of a Linear Equation Checklist (see attached file) for each student.
Procedures
Prior Knowledge: Students should be familiar with the standard form of linear equations along with basic operation skills such as addition, subtraction, multiplication, division, exponents, fractions, decimals and solving equations. Note: This lesson does not address the following: square roots, exponents, and appropriate inverse relationships; ratios, proportions or percents; tables, graphs and inequalities. This lesson contains a checklist to assist the teacher in determining which students need remediation. The sole purpose of this checklist is to aide the teacher in identifying students that need remediation.
1. Help students develop the slopeintercept form of a linear equation (see # 1 on attached file SlopeIntercept Form of a Linear Equation Examples). Answer student questions and comments.
2. State the slopeintercept form of a linear equation. Be sure that students understand each component (see # 2 on attached file SlopeIntercept Form of a Linear Equation Examples). Answer student questions and comments.
3. Describe the purpose of the slopeintercept form of a linear equation (see # 3 on attached file SlopeIntercept Form of a Linear Equation Examples). Answer student questions and comments.
4. Work example 4 (see attached file SlopeIntercept Form of a Linear Equation Examples). Answer student questions and comments.
5. Work example 5 (see attached file SlopeIntercept Form of a Linear Equation Examples). Answer student questions and comments.
6. Work example 6 (see attached file SlopeIntercept Form of a Linear Equation Examples). Answer student questions and comments.
7. Work example 7 (see attached file SlopeIntercept Form of a Linear Equation Examples). Answer student questions and comments.
8. Work example 8 (see attached file SlopeIntercept Form of a Linear Equation Examples). Answer student questions and comments.
9. Work example 9 (see attached file SlopeIntercept Form of a Linear Equation Examples). Answer student questions and comments.
10. Demonstrate to students how to rewrite an equation from standard form to slopeintercept form. Analyze the components and discuss the slope ratio and yintercept ratio (see # 10 on attached file SlopeIntercept Form of a Linear Equation Examples). Answer student questions and comments.
11. Work example 11 (see attached file SlopeIntercept Form of a Linear Equation Examples). Answer student questions and comments.
12. Distribute the SlopeIntercept Form of a Linear Equation Worksheet (see attached file).
13. Distribute the SlopeIntercept Form of a Linear Equation Checklist (see attached file). Describe what constitutes an “A,” “B,” “C,” “D,” and an “F” in the CHECKLIST.
14. The student will write their response on the worksheet.
15. The teacher will move from student to student observing the students work and lending assistance.
Assessments
Student worksheets will be taken up and scored according to “SlopeIntercept Form of a Linear Equation Checklist”. These scores may be placed in the grade book.
Extensions
Using a map with coordinates, have the students write the equation of a line in yintercept form and standard form that passes through two cities.
Web Links
Web supplement for SlopeIntercept Form of a Linear Equation Linear Functions, SlopeIntercept FormWeb supplement for SlopeIntercept Form of a Linear Equation Linear EquationWeb supplement for SlopeIntercept Form of a Linear Equation StraightLine Equations Lesson
