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Grade: Middle
Subject: Mathematics

#3458. Slopes of Lines

Mathematics, level: Middle
Posted Thu Apr 28 16:24:27 PDT 2005 by Ashley Crippen (
Randolph-Macon Woman's College, Lynchburg, USA
Materials Required: handouts with pictures of slopes, worksheets, wooden triangle, trasparency, overhead, calculators
Activity Time: 30 minutes
Concepts Taught: finding the slope, describing the slope, determining the slope given an equation, graphing

Subject: Math (specifically slopes of lines)

Goals: The student will understand how to determine the slope of a line when given an equation of a line or the graph of a line.

Rationale: To provide exposure to real life experiences that utilize math concepts.
Objectives: TSWBAT
Find the slope of a line
Describe the slope as positive or negative
Determine the slope given an equation in slope intercept form
Graph a line with a given slope

Standards: SOL A.7

Ability Levels: 9th grade students or varying abilities

What comes to your mind when you think of the word slope?
Where do you see slopes in the real world?
-Jot down ideas on the board.
Pass out pictures of slopes to each student.
Have students come to the board and plot the line of their picture using an estimate of points located on the line.

So what exactly does slope mean in mathematical terms?
Positive vs. negative slopes
-how to determine whether a slope is positive or negative
Determining the slope:
Given a graph.
-use two examples already on the board
*hands-on example on overhead.
ask for volunteer to plot points.
Given an equation:
-slope-intercept form
-one teacher-led example, one student-led example
-general equation
-one teacher-led example, one student-led example
Pass out worksheet for practice on determining slope from graphs and equations
Ask for volunteers to do problems 1-3.
Pass out graph paper for practice on graphing slope.

Time Required: 30 minutes

Handouts with pictures
Wooden triangle, transparency, overhead projector

Graphing the lines/slopes of the pictures on the board
Practice worksheet

Guided Practice:
Examples done on the board
-What is slope?
-Positive vs. negative
-Determining slope using a graph or equation
-slope-intercept form/general form

Overhead projector

Completion of worksheet

Personal observations
Completion of worksheet
Ability to graph on board