1. Name:________________________________________________________________________________Date:_____/_____/__________
BRAIN BLITZ/Warm-UP
Solve the following linear equations (plug x into equation): 1) 2) x
y = -x + 1 y -1 1 2 x
x = y - 4 y -1 1 2
Write the equation for the following function tables (magic #): 3)
Equation:____________ 4) 5) x y -1 4 1 9 2 14 x y 4 1 2 -2 3 -5 x y -1 -5 1 7 2 13
Fill-in-the-blank:
y = mx + b is the formula for writing a linear equation in ________________________________ form.
The “m” stands for _________________ .
The “b” stands for the _______________________ .

2. Graph the following equations (use y = mx + b):
9) y = -3x + 8
( m = _____; b = _____ )
10) y = 𝟑 𝟏 x – 6
( m = _____; b = _____ )
Study graph and write the equation (use y = mx + b):
11)
m = _____
b = _____
Equation:__________________________

3. “SLOPE-intercept form”
Math-7 classwork
DATE: ______/_______/_______
NAME:__________________________________________________________________________________
“SLOPE-intercept form”

4. m = _____
b = _____
m = _____
b = _____
m = _____
b = _____
m = _____
b = _____
m = _____
b = _____
m = _____
b = _____
m = _____
b = _____
m = _____
b = _____

5. Today’s Lesson: What: Representing a function Why:
To make connections among the four ways to represent a function.
Input
Output

6. Do you remember the 4 ways to represent a function??:1
As an
____________
y = 2x + 3
Equation
“y is equal to ” 2
With
words
two times a number
plus three. x y 1 2 3 3
As a
__________ 3
Table 5
Now, plot the
points! 7 9 4
As a graph

7. “y is equal to the product of two and a number,
let’s tie it all together . . .
From an equation . . .
Equation
Words
1) y = 2x -1
Table
Graph
m = 𝟐 𝟏
“y is equal to the product of two and a number,
minus one.”
b = -1 x y -1 1 1 2 3 3 5

8. “y is equal to three more than a number.”
From words . . .
Equation
Words 2)
“y is equal to three more than a number.”
Table
Graph
y = x + 3
You could use y= mx + b to graph OR you could create the table by choosing inputs and plugging in . . . x y 3 1 4 2 5 3 6
Now, plot the
points!

9. “y is equal to negative 2 times a number,
From a table . . .
Equation
Words 3)
Table
Graph
y = -2x + 6
“y is equal to negative 2 times a number,
plus six.”
Magic
Number . . . x y 6 1 4 2 3

10. more than negative 2 times a number.”
From a graph . . .
Equation
Words 4)
Table
Graph
y = -2x + 4
“y is equal to four
more than negative 2 times a number.”
m = −𝟐 𝟏
b = 4 x y 4 1 2 2 3 -2

11. END OF LESSON
The next slides are student copies of the notes for this lesson. These notes were handed out in class and filled-in as the lesson progressed.
NOTE: The last slide(s) in any lesson slideshow represent the homework assigned for that day.

12. Math-7 NOTES
DATE: ______/_______/_______
What: representing functions
Why: To make connections between the four ways to represent functions.
NAME:
Do you remember the 4 ways to represent a function??:
Of course you remember! 1
As an
_____________
y = 2x + 3 2
“y is equal to ”
With
words 3 x y 1 2 3
As a
___________ 4
As a graph
If you are given one of the above representations, you need
To be able to represent that function in the other 3 ways!

14. “Linear Equation applications”
Math-7 classwork
DATE: ______/_______/_______
NAME:__________________________________________________________________________________
“Linear Equation applications”
It is midnight in Leesburg and there is no snow on the ground. It begins to snow at a rate of 2 cm each hour.
Create a table that shows the amount of snow on the ground for every hour after midnight until 5 am. (Hint: use 0 to represent midnight)
Graph the equation using your table of values:
Write an equation to represent this situation.
Equation:____________________________________
If it continues to snow at the same rate, how much snowfall would there be at 10 am? x y
1 am
At midnight in Chicago there are 4 cm of snow on the ground. It begins to snow at a rate of 3 cm per hour.
Create a table that shows the amount of snow on the ground for every hour after midnight until 5 am.
Graph the equation using your table of values:
Write an equation to represent this situation.
Equation:____________________________________
If it continues to snow at the same rate,. How much snowfall would there be at 2 pm (14:00)? x y
1 am

15. Draw and extend the following pattern:
Create a table that shows the relationship between the figure number and the number of toothpicks in each figure.
Graph the equation using your table of values:
Write an equation to represent this situation.
Equation:_________________________________________
How many toothpicks will be in the 75th figure? x y
Draw and extend the following pattern:
Create a table that shows the relationship between the figure number and the number of square blocks in each figure.
Graph the equation using your table of values:
Write an equation to represent this situation.
Equation:______________________________________
How many square blocks will be in the 88th figure? x y

16. Math-7 homework “Function representations”
NAME:________________________________________________________________________________ DATE: _____/_____/__________
“Function representations”
Apply everything we have learned in this unit in order to fill in blank spaces:
Equation
Words
Table
Graph
1) y = 2x - 2
“y is equal to the product of 2 and a number, minus 2.”
2) y = -3x + 1 3)
“Four plus a number is equal to y.” 4)
“ y equals negative x.” x y -1 1 2 x y 1 2 3 x y -3 3 6 x y 1 2 3

17. Equation Words Table Graph x y -1 -3 1 5 2 9 x y -2 7 -1 4 1 x y x y5) 6) 7) 8) x y -1 -3 1 5 2 9
Magic # . . . x y -2 7 -1 4 1
Magic # . . . x y
y = mx + b x y
y = mx + b

18. Matching representations activity