Growth Mindset Training

• https://www.youtube.com/watch?v=WtKJrB5rOKs

• A t-ball player hits a baseball from a tee that is 0.6m tall. The flight of the ball can be modeled by = -4.9 0.6, where is the height of the ball in metres and is the time in seconds.

a) When does the ball reach its maximum height? (2 decimal places)

b) What is the maximum height? (2 decimal places)c) When does the ball hit the ground? (2 decimal

places)

Unit 2: Quadratic Functions

MINDS ON

• A t-ball player hits a baseball from a tee that is 0.6m tall. The flight of the ball can be modeled by -4.9 0.6, where is the height of the ball in metres and is the time in seconds.

a) When does the ball reach its maximum height? (2 decimal places)

Unit 2: Quadratic Functions

Lesson 1: Properties of Quadratic Functions

• A t-ball player hits a baseball from a tee that is 0.6m tall. The flight of the ball can be modeled by -4.9 0.6, where is the height of the ball in metres and is the time in seconds.

b) What is the maximum height? (2 decimal places)

Unit 2: Quadratic Functions

Lesson 1: Properties of Quadratic Functions

• A t-ball player hits a baseball from a tee that is 0.6m tall. The flight of the ball can be modeled by -4.9 0.6, where is the height of the ball in metres and is the time in seconds.

c) When does the ball hit the ground? (2 decimal places)

Unit 2: Quadratic Functions

Lesson 1: Properties of Quadratic Functions

Unit 2: Quadratic Functions

Lesson 2: Maximum and Minimum Values

Learning Goals:

I can determine the maximum or minimum value of a quadratic function

Unit 2: Quadratic Functions

How do we know if a parabola has a Maximum or a Minimum?

Quadratic Function Max or Min?f(x) = -0.16x2 + 9.76x – 9.408

f(x) = 5(x – 4)(2x – 1)

f(x) = 3x + 6 – 2x2

f(x) =

Lesson 2: Maximum and Minimum Values

Unit 2: Quadratic Functions

Example: This function models the profit for a home t-shirt-making business:

where x represents the number of shirts produced, and P(x) represents the profit in dollars. Determine the break even values.

Lesson 2: Maximum and Minimum Values

Unit 2: Quadratic Functions

Word Problem:Research for a given orchard has shown that, if 100 pear trees are planted, then the annual revenue is $90 per tree. If more trees are planted, they have less room to grow, and generate fewer pears per tree. As a result, the annual revenue per tree is reduced by $0.70 for each additional tree planted. No matter how many trees are planted, the cost of maintaining each tree is $7.40 per year. How many pear trees should be planted to maximize a year’s profit?

• Let P(x) represent profit

• Let x represent:

Lesson 2: Maximum and Minimum Values

Unit 2: Quadratic Functions

Homework

Level 4: pg. 153-154 #1–5, 7ab, 8–12 Level 3: pg. 153-154 #1 – 5,7ab, 8–11 Level 2: Pg. 153-154 #1 – 5,7ab, 8, 9 Level 1: Pg. 153-154 # 1 – 3, 5, 7ab, 8

Lesson 2: Maximum and Minimum Values