OAT Lesson 24: Quadratic Equations

Last updated over 2 years ago

20 questions

Lesson Synthesis: - (5 min)

Required

OAT Lesson 24: Quadratic Equations

Last updated over 2 years ago

20 questions

Develop Understanding
Today's Learning Goal: (G6, U6, L6)
Explain (orally) how to create and solve an equation that represents a situation with an unknown amount.
Write an expression with a variable to generalize the relationship between quantities in a situation.
Today's Materials:
Laptop
Laptop charger
Pen/Pencil/Paper/Expo Marker (optional)
Please complete the Jump Start (activator). You have 5 minutes before we review. This is independent it should be silent.
Reminders:
1. Ready for class
2. No cellphones
3. Volume must be low.
4. Read and follow all directions
5.) Take your bag off and immediately begin the Activator.

Required

Launch: Intro to quadratic Equations - (10 min) 
I do (question
We do (question 
You do (question) 

Definition: a quadratic equation is an equation in which the highest degree of its variable is 2.

The inverse of a square x^2 is square root(x)

Required

Activity 1: Graph it on Desmos

For this activity we'll experiment manipulating the quadratic equations on desmos. 

Required

Graph the function below:

Create a slider for "a" between -1 and 1

Explain what is happening?

Required

Activity 2: Standard Form 

Required

Lesson Synthesis: - (5 min)

Today you learned about a new kind of function called a quadratic.

Required

What is the highest degree?
How do you find the coefficient b?
How do you find the coefficient c?
Where do you find quadratic equations?

Cool Down: Squares and Squares Roots - (5 min)

Required

Solve for x:

Required

Factor Completely:

Required

Closure Questions:
What is a quadratic?
What is the inverse of a square?
What is a another name for a square root?
What is the method you learned today?
What is the shape that quadratic equation makes?

OAT Lesson 24: Quadratic Equations

Lesson Synthesis: - (5 min)

OAT Lesson 24: Quadratic Equations

Launch: Intro to quadratic Equations - (10 min)

Activity 1: Graph it on Desmos

Graph the function below:Create a slider for "a" between -1 and 1 Explain what is happening?

Activity 2: Standard Form

Lesson Synthesis: - (5 min)

What is the highest degree?How do you find the coefficient b?How do you find the coefficient c?Where do you find quadratic equations?

Cool Down: Squares and Squares Roots - (5 min)

Solve for x:

Factor Completely:

Closure Questions:

JUMP START: Algebra Talk: Positive Solutions - ( 5min)

Launch: Intro to quadratic Equations - (10 min)

Solve for x:

Solve for x:

Solve for x:

Solve for x:

Activity 1: Graph it on Desmos

Graph the function below:Create a slider for "a" between -1 and 1 Explain what is happening?

Graph the function below:y=x^2+aCreate a silder for "a"What shape does the graph make?

Graph the function below:and Create a slider for "a"What shape does the graph make?

Activity 2: Standard Form

Factor Completely:

Factor Completely:

Solve for x:

Solve for x:

Solve for x:

What is the highest degree?How do you find the coefficient b?How do you find the coefficient c?Where do you find quadratic equations?

Cool Down: Squares and Squares Roots - (5 min)

Solve for x:

Factor Completely:

Solve for x:

Closure Questions:

JUMP START: Algebra Talk: Positive Solutions - ( 5min)

Solve for x:

Solve for x:

Solve for x:

Solve for x:

Graph the function below:y=x^2+aCreate a silder for "a"What shape does the graph make?

Graph the function below:and Create a slider for "a"What shape does the graph make?

Factor Completely:

Factor Completely:

Solve for x:

Solve for x:

Solve for x:

Solve for x:

Graph the function below:

Create a slider for "a" between -1 and 1

Explain what is happening?

What is the highest degree?
How do you find the coefficient b?
How do you find the coefficient c?
Where do you find quadratic equations?

Graph the function below:

Create a slider for "a" between -1 and 1

Explain what is happening?

Graph the function below:

y=x^2+a

Create a silder for "a"
What shape does the graph make?

Graph the function below:

and
Create a slider for "a"
What shape does the graph make?

What is the highest degree?
How do you find the coefficient b?
How do you find the coefficient c?
Where do you find quadratic equations?

Graph the function below:

y=x^2+a

Create a silder for "a"
What shape does the graph make?

Graph the function below:

and
Create a slider for "a"
What shape does the graph make?