Algebra I

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Algebra I
Chapter 5
Warm Up
What is slope?
What is the y-intercept?
Re-teach
Slope- intercept form
y= mx + b
m = slope
b= y intercept (or where it crosses the y axis)
Re-teach
If given the slope (m is ¼) and the y
intercept (b is 9).
Write an equation of the line.
y = 1/4x + 9
Practice
Directions: Write the following in slopeintercept form.
1. m is -¾
y is -8
2. m is -5
y is 3
3. slope is ½
y is ¾
4. m is -2
y is -5/6
5. slope is 0
y is 1
Warm Up
What is an equation of a line?
What is the slope-intercept form?
Are they related?
Practice
Directions: Write the equation of the
line given the slope m= 3 and the
points (-2, 12).
Re-teach
Example:
Given the slope m= -1 and the points (4, 2).
Step 1- Write the formula for equation of a
line
y = m(x-h) + k
Step 2- Substitute numbers into the
equation.
Step 3 – Distribute and add or subtract like
terms.
Step 4 – Write the equation of a line.
Re-teach
Step 1- Write the equation of a line
y = m(x – h) + k
Step 2- Substitute numbers into the equation.
m = -1
p (4, 2)
y = -1(x – 4) + 2
Re-teach
Step 3 – Distribute and add or subtract like
terms.
y = -1x + 4 + 2
y = -x + 6
Step 4- Write the equation of a line.
y = -x + 6
Discuss
How do you check if your equation is
correct?
Practice
Directions: Given the worksheet pair up
with a partner or group to practice the
problems.
Submit all worksheets to the bin.
*You may complete this on whiteboards as
long as you show your answer on the
sheet*
Warm Up
What is the equation to find slope?
How do I find slope given two sets of
points?
Ex: ( 1, 5) (6, 4)
Re-teach
Step 1 – Label your points
Step 2- Plug in to find slope
Step 3- Choose one of the points
Step 4- Plug in the set of points and the
slope in the equation of the line.
Step 5- Distribute and add or subtract like terms.
Step 6- Write the final equation.
Re-teach
Step 1 – Label your points
( 2, 1)
(6, 3)
Re-teach
Step 2- Plug in to find slope (2, 1) (6, 3)
Re-teach
Step 3- Choose one of the points
( 2, 1)
(6, 3)
Step 4- Plug in the set of points and the
slope in the equation of the line.
y = ½(x – 6) + 3
Re-teach
Step 5- Distribute and add or subtract like terms.
y=½x–3+3
y=½x
Step 6- Write the final equation with slope
and the y intercept.
y = ½x
Practice
Directions: Use the following steps to solve the
following problems.
Step 1 – Label your points
Step 2- Plug in to find slope
Step 3- Choose one of the points
Step 4- Plug in the set of points and the
slope in the equation of the line.
Step 5- Distribute and add or subtract like terms.
Step 6- Write the final equation with slope
and the y intercept.
(-8, -4) (4, 2)
(-4, 3) (-1, -7)
(2, 12) (1,7)
Warm Up
What is a best fitting line?
What is positive correlation?
What is negative correlation?
Activity
Directions:
1. Create groups of 3 or 4
2. Gather supplies needed
– IKEA Ruler
– T chart
– Graph paper
3. Tape rulers to the ground.
4. Each person in the jumps a total of 5 times.
5. Record your data after each jump.
6. Create a scatter plot of your data.
7. Explain the correlation of your graph.
Warm Up
What is standard form?
What is slope-intercept form?
Re-teach
Standard Form
Ax + By = C
OR
4x + 3y = 12
Re-teach
Writing an Equation in Standard Form from
Equation of a line
Step 1- Write the original equation
Step 2- Multiply by the number with x
Step 3- Distribute
Step 4- Subtract x from both sides
Re-teach
Writing an Equation in Standard Form from
Equation of a line
Step 1- Write the original equation
y = 3x- 8
Step 2- Subtract x from both sides
-3x + y = -8
*Remember* Standard form can be written
in more than one way
3x – y = 8
Practice
Complete the problems given to you on the
flashcard.
When finished put it in the bin!
Practice
Directions:
Pair up and complete the worksheet
given to you.
Put it in the bin when finished!
Review
What do we need to go over?
Download