we will be using an online projectile simulator to understand the applications of quadratics
DESCRIPTION
SWBAT sketch the graph of quadratic functions in polynomial form. SWBAT sketch the graph of quadratic functions in standard/vertex form. Write down the date, Section #, Title and Learning Objective(s) into your notebook.TRANSCRIPT
Opener
We will be using an online projectile simulator to understand the applications of quadratics.
2.1 Quadratic Functions
SWBAT sketch the graph of quadratic functions in polynomial form.
SWBAT sketch the graph of quadratic functions in standard/vertex form.
Write down the date, Section #, Title and Learning Objective(s) into your notebook.
Key ConceptsLOOK LISTEN
Write down what you want into “Key Concepts” as you Look & Listen.
Polynomial Form
2( ) , 0y f x ax bx c a
Standard/ Vertex Form
2( ) , 0y f x a x h k a
Symmetry and Effect of “a” and “c” on the graphKey Concepts
LOOK LISTEN
Key ConceptsLOOK LISTEN
Write down what you want into “Key Concepts” as you Look & Listen.
Maximum, a<0
Minimum, a>0
Axis of Symmetry
Axis of Symmetry
Key ConceptsLOOK LISTEN
Write down what you want into “Key Concepts” as you Look & Listen.
Vertex: , , ( )2bx y x f xa
“1, 3, 5 Rule” using “a”
1 3 5, ,1 1 1
rise a a arun
1 – 3 – 5 Rule
1
3
5
7
x y
0 0
1 1
2 4
3 9
4 16
1
3
5
7
x y
0 0
1 2
2 8
3 18
4 32
2
6
102
6
10
14
How do we get there?
SWBAT match graphs with their functions.
LOOK LISTEN
22f x x 2 2f x x
Now let’s try together.Use whiteboards.
SWBAT match graphs with their functions.
21 2f x x 23f x x
How do we get there?
SWBAT sketch the graph of a quadratic in polynomial form.
LOOK LISTEN
22 4 5f x x x
Now let’s try together.Use whiteboards.
SWBAT sketch the graph of a quadratic in polynomial form.
2 4 1f x x x
Now let’s try together.Use whiteboards.
SWBAT sketch the graph of a quadratic in standard /vertex form.
23 4f x x
Now let’s try together.Use whiteboards.
SWBAT sketch the graph of a quadratic in standard /vertex form.
21 1f x x
How do we get there?
SWBAT sketch the graph of a quadratic in standard/vertex form.
LOOK LISTEN
22 1 3f x x
Now let’s try together.Use whiteboards.
SWBAT sketch the graph of a quadratic in standard /vertex form.
23 4 3f x x
Time to practice some more by writing down examples into our notebook.