unit 2: linear functions this chapter will include some review from last year. mostly, we will be...
TRANSCRIPT
Unit 2: Linear FunctionsThis chapter will include some review from last year. Mostly, we will be solving equations – lots of equations!
2.1 Multiple Representations of Mathematical Relationships
Find at least ONE solution fory = -2x + 9x +8 – 5x
Write down this problem on your
COMMUNICATORBe prepared to share your work
with the class.
determine if the graph of this equation is linear or not.
i-canPage 24 of
your INB y -3x2 + 4 = 0
ITEMS of BUSINESS
• Monday (A-day students) is last day to retake Ch. 1 Test• Tuesday (B-day students) is last day to retake Ch. 1 Test
• Be sure to tell Mrs. Kalt if you want to retake in intervention on Monday (A-day students) or Tuesday (B-day students)
And be sure to study well for the retake. It can make a BIG difference!
CHAPTER 2 TEST is next Wednesday/Thursday
PARENT TEACHER CONFERENCES next Wednesday/Thursday 3:45 – 7:15
Have your homework out on your desk.
RE-People with 100%, try this honors question:
Is this a function? Why or why not?Nope. NOT a function.First of all, it fails the verticalline test. A vertical line hits ALLpoints on that graph. Secondly,You can see that every point on the graph is (3,y). For example (3,0),(3,1), (3,2), (3,3), etc. The x-value 3 goes to infinitely many y-values!
Get into your 4-Square Groups
Page 24-25 of your INB
i-can determineif the graph of thisequation is linear or not.
y -3x2 + 4 = 0
GRAPH THE SOLUTION
y = 2x + 4
Strategy:1) Generate 3 solutions.2) Plot the points.3) Connect the dots.
I wonder if equations are ALWAYS linear . . . ???
Or maybe Mrs. Kalt isspoon feeding me equationsthat are easy to digest???
y = x + 1
GRAPH THE SOLUTION
y = x2
Strategy:1) Generate 3 solutions.2) Plot the points.3) Connect the dots.
GRAPH THE SOLUTION
y = │3x - 1│
Strategy:1) Generate 3 solutions.2) Plot the points.3) Connect the dots.
So how do you know if it’s a straight line? Do you have togenerate like a million points to see what it’s going to look like?
FIRSTGo to desmos website and teach themHow to graph each of the parent functions.They will put the parent function equationAnd matching graph, one on each desk.
Then have them sketch the graph of each.
SECONDDefine names of graphs:Absolute valueLinearQuadraticCubic
Have them divvy up the “child” equationsAmongst themselves and start graphingThem in desmos. They will sort them outOn their desks as they go. Also, they Will write them on their papers.
THIRDDo a whole-class sort on the board.
FOURTHHave them describe common characteristics.
y = │x│ y = x y = x2 y = x3
name of graph name of graph name of graph name of graph
Describe the commoncharacteristic:
List the equationsthat belong to theparent graph above.
Describe the commoncharacteristic:
List the equationsthat belong to theparent graph above.
Describe the commoncharacteristic:
List the equationsthat belong to theparent graph above.
Describe the commoncharacteristic:
List the equationsthat belong to theparent graph above.
Follow along in your foldable.
#10 on hmwrk
Draw or write something to defend
your claim.
Y = X +
Kalt loves:
LINEAR FUNCTIONS
YOU TRY IT!
Simplify:
Show it fits the formatfor linear equations:
RELATIONS
FUNCTIONS
y2 = x y =
Every x goes to ONE y.
LINEAR
Equations with variables.
y=x2
y=2x+1
INPUTX values Y values
OUTPUT
DOMAIN RANGEINDEPENDENT DEPENDENT
Ladies first!
Don’t forget, when graphing:
INDEPENDENT
DEPENDENT
How do I know which is DEPENDENTAnd which is INDEPENDENT?
Then ask yourself:
Does ___________ depend on __________
or does ___________ depend on ___________?
$total spent # of cans
$total spent# of cans
YOU TRY IT!
First determine the unknowns.
___________ & ___________$total spent # of cans
The TOTAL DEPENDS . . . # OF CANS is INDEPENDENT
17.
Worksheet2.4
Linearor Not?