Solve LINEAR QUADRATIC QUADRATIC Quadratic Equations Solve a b Learning Log Summary LT 1 I can solve quadratic equations using factoring or the square root method ID: 504968
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Slide1
Types of Equations
Solve:
LINEAR
QUADRATIC
QUADRATIC Slide2
Quadratic Equations
Solve:
a) b)
Slide3
Learning Log Summary
LT 1 – I can solve quadratic equations using factoring or the square root method.
To solve a quadratic equation in standard form…
When a binomial is squared in a quadratic equation…Slide4
Quadratic Equations
Solve:
The method of changing the
form of a quadratic equation so that one side is a
perfect square trinomial is called completing the square.Slide5
Quadratic Equations
Solve:
Slide6
Quadratic Equations
Solve:
Slide7
Quadratic Equations
Solve:
Slide8
Learning Log Summary
LT 2 – I can solve quadratic equations by completing the square.
I need to complete the square if…
In order to complete the square of a quadratic equation…Slide9
Solving Quadratic Equations
Partner A solves the equation using ANY method in box A1. and explains to partner B as they work.
Partner B listens and asks questions / clarifies steps as necessary.
Fold and label your paper:
A1)
A2)
B
1)
B
2
)Slide10
Solving Quadratic Equations
Partner B solves the equation using A DIFFERENT method than the one in box A1 and explains to partner A as they work.
Partner A listens and asks questions / clarifies steps as necessary.
Fold and label your paper:
A1)
A2)
B
1)
B
2
)Slide11
Solving Quadratic Equations
Partner B solves the equation using ANY method in box B2 and explains to partner A as they work.
Partner A listens and asks questions / clarifies steps as necessary.
Fold and label your paper:
A1)
A2)
B
1)
B
2
)Slide12
Solving Quadratic Equations
Partner A solves the equation using A DIFFERENT method than the one in box B2 and explains to partner B as they work.
Partner B listens and asks questions / clarifies steps as necessary.
Fold and label your paper:
A1)
A2)
B
1)
B
2
)Slide13
Closure
Homework (record on Learning Log): pg. 309 ~ 1-27 (O)
Slide14
Refresher…
Solve:
Slide15
Refresher…
Solve:
Slide16
The Quadratic Formula
If you need to solve:
Slide17
The Quadratic Formula
The solutions to are given by the formula:
Slide18
The Quadratic Formula
Solve using the quadratic formula: Slide19
The Quadratic Formula
Solve using two different methods: Slide20
Applications of the Quadratic Formula
A swimming pool 6 meters wide and 10 meters long is to be surrounded by a walk of uniform width. The area of the walk happens to equal the area of the pool. What is the width of the walk?
w
w
w
w
6
10Slide21
Learning Log Summary
LT 3 – I can solve quadratic equations using the quadratic formula.
The quadratic formula is…
In order to derive the quadratic formula…Slide22
Closure
Homework (record on Learning Log): pg. 313 ~ 1-27 (O)
Slide23
Using the Quadratic Formula
Find the roots of each quadratic function using the Quadratic Formula. Then state the value
under the radical and the number of roots. Slide24
The DiscriminantSlide25
The DiscriminantSlide26
The DiscriminantSlide27
Learning Log Summary
LT 5 – I can analyze the discriminant of a quadratic function to determine the nature of its roots.
The discriminant is…
The possibilities for roots are…Slide28
Closure
Homework (record on Learning Log): pg. 320 ~ 1-23 (O)
Slide29
Solving Quadratic Equations
Using Any Method!Slide30
Applications of the Quadratic Formula
Two positive real numbers have a sum of 5 and a product of 5. Find the numbers.Slide31
Applications of the Quadratic Formula
A rectangle is 6 cm long and 5 cm wide. When each dimension is increased by x cm, the area is tripled. Find the value of x.Slide32
Applications of the Quadratic Formula
A swimming pool 6 meters wide and 10 meters long is to be surrounded by a walk of uniform width. The area of the walk happens to equal the area of the pool. What is the width of the walk?
w
w
w
w
6
10Slide33
Learning Log Summary
LT 4 – I can write a quadratic equation based on a scenario and solve the problem using appropriate techniques.
In order to solve a word problem…
The options for solving a quadratic equation…Slide34
Closure
Homework (record on Learning Log): Unit 5 Take Home Quiz (LT 1-5)
Due Thursday