1. Topic-
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| Finding an Equation of a Line, Given Two Points |
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2. Content-
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recall lines and introduce slope and y-intercept
slope is a number that describes both the direction and the steepness
of the line
the y-intercept is where on the y-axis, the line intersects
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3. Goals: Aims/Outcomes-
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1. learn slope is denoted by m and y-intercept is denoted by b
2. the slope formula
3. the equation of a line is y=mx+b |
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4. Objectives-
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| After the discussion of lines, students will be able to identify
the slope, y-intercept and find the equation of a line given two points |
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5. Materials and Aids-
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| Graph paper, graphing calculators |
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6. Procedures/Methods-
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A. Introduction-
1. lines, graphing and connecting two points on graph paper
2. give them the slope formula
3. and equation of a line formula |
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B. Development-
1. slope is a deepness and direction of a line. Negative slope is
a decline line and positive is a incline.
2. If a line is horizontal the slope is zero. This is a constant function.
If a line is vertical the slope is undefined
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(1,4) and (3,8)
slope formula is
y2-y1/x2-x1
8-4/3-1
4/2 equals 2
m=2.
Then you use a point, doesn't matter which one to find the y=intercept.
So (1,3) and m=2
y=mx+b
3=(2)(1)+b
b=1
SO the equation of the line is y=2x+1 |
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C. Practice-
1. (2,4) and (5,11)
2. (1,-5) and (8,-12)
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D. Independent Practice-
| 3 more difficult points (fractions, not easy numbers) |
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E. Accommodations (Differentiated Instruction)-
1. only do 1 or 2 problems out of the three
2. graph the points for them
3. give the equations of their sheet in front of them |
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F. Checking for understanding-
1. make sure they know the slope and y-intercept (m,b)
2. the formula of an equation of a line
3. and how to solve one |
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G. Closure-
1. Give homework problems of finding the equation of a line.
2. exit ticket, one of the last problems on a separate piece of paper |
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