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 _______________________ .

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:__________________________

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

m = _____ b = _____ m = _____ b = _____ m = _____ b = _____ m = _____ b = _____ m = _____ b = _____ m = _____ b = _____ m = _____ b = _____ m = _____ b = _____

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

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

“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

“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!

“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

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

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.

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!

“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

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

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

Equation Words Table Graph x y -1 -3 1 5 2 9 x y -2 7 -1 4 1 x y x y 5) 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

Matching representations activity