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Unit 5 Quadratics Project.notebook 1 November 19, 2015 Chapter 5: Quadratics Project Where Would The Angry Birds Have Landed?

Chapter 5: Quadratics Project - Oregon High Schoolteachers.oregon.k12.wi.us/rosemeyer/Alg II/Quadratics... · 2015-11-19 · Unit 5 Quadratics Project.notebook 3 November 19, 2015

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Page 1: Chapter 5: Quadratics Project - Oregon High Schoolteachers.oregon.k12.wi.us/rosemeyer/Alg II/Quadratics... · 2015-11-19 · Unit 5 Quadratics Project.notebook 3 November 19, 2015

Unit 5 Quadratics Project.notebook

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November 19, 2015

Chapter 5: Quadratics ProjectWhere Would The Angry Birds Have Landed?

Page 2: Chapter 5: Quadratics Project - Oregon High Schoolteachers.oregon.k12.wi.us/rosemeyer/Alg II/Quadratics... · 2015-11-19 · Unit 5 Quadratics Project.notebook 3 November 19, 2015

Unit 5 Quadratics Project.notebook

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November 19, 2015

https://www.youtube.com/watch?feature=player_embedded&v=H8YBiJF62Us

The Challenge: Where would the angry birds have hit the ground if they hadn't crashed into anything on the way?

Θυεστιονσ το Ασκ:1. Ωηατ ισ α γυεσσ τηατ ισ τοο χλοσε?

2. Ωηατ ισ α γυεσσ τηατ ισ τοο φαρ αωαψ?

3. Ωηατ ισ ψουρ βεστ γυεσσ?

4. Ωηατ ωουλδ βε α ωαψ το ηελπ υσ ηαϖε λοχατιονσ τηατ αρε εασιερ το χοµµυνιχατε το εαχη οτηερ?

5. Ωηατ αρε τηε χοορδινατεσ οφ ψουρ βεστ γυεσσ?

6. Ωηατ ινφορµατιον δο ψου νεεδ το φιγυρε τηισ ουτ?

7. Ωηατ φαχτορσ µαψ αφφεχτ ψουρ ανσωερ∍σ αχχυραχψ?

Page 3: Chapter 5: Quadratics Project - Oregon High Schoolteachers.oregon.k12.wi.us/rosemeyer/Alg II/Quadratics... · 2015-11-19 · Unit 5 Quadratics Project.notebook 3 November 19, 2015

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Consider This: This activity begins with asking students for guesses as to where each of the birds will land. This is where the grids may be helpful.

Angry Birds #1

Page 4: Chapter 5: Quadratics Project - Oregon High Schoolteachers.oregon.k12.wi.us/rosemeyer/Alg II/Quadratics... · 2015-11-19 · Unit 5 Quadratics Project.notebook 3 November 19, 2015

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Angry Birds #2

Page 5: Chapter 5: Quadratics Project - Oregon High Schoolteachers.oregon.k12.wi.us/rosemeyer/Alg II/Quadratics... · 2015-11-19 · Unit 5 Quadratics Project.notebook 3 November 19, 2015

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November 19, 2015

Angry Birds #3

Page 6: Chapter 5: Quadratics Project - Oregon High Schoolteachers.oregon.k12.wi.us/rosemeyer/Alg II/Quadratics... · 2015-11-19 · Unit 5 Quadratics Project.notebook 3 November 19, 2015

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Steps to Getting Started:

1. First decide on where the origin will be and number the axes from there. Note: different groups my try different origins because each group should have the same value for a parabolic shape even if their h and k (vertex coordinates) values are different.

2. Plot points and then write your equations in vertex form:

y = a(x­h)2 + k where (h,k) is the vertex.

Hint: Angry Bird #3 is the only one with a vertex in its graph, so it is best to move forward with that screenshot and overlaid grid.

3. Your goal is to be able to find the coordinates of the x­intercept. You will be able to use your vertex and the starting point to find your a value.

4. Once you have found a, h, and k. Use this to find where Angry Bird #3 would have landed. Then use what you know to complete the equations for Angry Birds #1 and #2.

Page 7: Chapter 5: Quadratics Project - Oregon High Schoolteachers.oregon.k12.wi.us/rosemeyer/Alg II/Quadratics... · 2015-11-19 · Unit 5 Quadratics Project.notebook 3 November 19, 2015

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Angry Bird #1 Please show work!

a = h = k =

Equation of Parabola: y = a(x­h)2 + k

Where would the angry bird have landed?

Page 8: Chapter 5: Quadratics Project - Oregon High Schoolteachers.oregon.k12.wi.us/rosemeyer/Alg II/Quadratics... · 2015-11-19 · Unit 5 Quadratics Project.notebook 3 November 19, 2015

Unit 5 Quadratics Project.notebook

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November 19, 2015

Angry Bird #2 Please show work!

a = h = k =

Equation of Parabola: y = a(x­h)2 + k

Where would the angry bird have landed?

Page 9: Chapter 5: Quadratics Project - Oregon High Schoolteachers.oregon.k12.wi.us/rosemeyer/Alg II/Quadratics... · 2015-11-19 · Unit 5 Quadratics Project.notebook 3 November 19, 2015

Unit 5 Quadratics Project.notebook

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November 19, 2015

Angry Bird #3 Please show work!

a = h = k =

Equation of Parabola: y = a(x­h)2 + k

Where would the angry bird have landed?