algebra i chapter 5. warm up what is slope? what is the y-intercept?
TRANSCRIPT
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-teachIf 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 slope- intercept form.
1. m is -¾ y is -82. m is -5 y is 33. 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-teachExample: 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 liney = 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 pointsStep 2- Plug in to find slopeStep 3- Choose one of the pointsStep 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-teachStep 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-teachStep 5- Distribute and add or subtract
like terms. y = ½ x – 3 + 3 y = ½ x
Step 6- Write the final equation with slopeand the y intercept.
y = ½x
Practice
Directions: Use the following steps to solve the following problems. Step 1 – Label your pointsStep 2- Plug in to find slopeStep 3- Choose one of the pointsStep 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 slopeand 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 42. 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 FormAx + 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 xStep 3- DistributeStep 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?