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58
questions

Act One

• Robert Kaplinsky

March 08, 2013

Where would the Angry Birds have hit the ground if they hadnâ€™t crashed into anything on the way?

• 1.

What is a guess that is too close?

• 2.

What is a guess that is too far?

• 3.

• 4.

What information would do you need to figure this out?

Act Two

• Teacher note
This activity begins with asking students for guesses as to where each of the birds will land. This is where the screenshots without the grids will be helpful. However this will bring up an intentional problem.
• ImageAngry Bird #1 (without grid)
• ImageAngry Bird #2 (without grid)
• ImageAngry Bird #3 (without grid)
• Teacher note
Without a coordinate plane, students will not have uniform answers. Instead you may hear things like â€œThe bird will land in between the second and third column.â€ This provides the opportunity to ask students â€œWhat would be a way to help us have answers that are easier to communicate to each other?â€ Hopefully students will come up with the idea of needing a coordinate plane. Now you can introduce the screenshots with the grids and ask students â€œWhat are the coordinates for your best guesses?â€.
• 5.

What would be a way to help us have answers that are easier to communicate to each other?

• 6.

What are the coordinates for your best guesses?

• ImageAngry Bird #1 (with grid)
• ImageAngry Bird #2 (with grid)
• ImageAngry Bird #3 (with grid)
• Teacher note
This, however, will introduce another problem because the grids are not numbered. So, students will have to decide on where the origin will be and number from there. Note that if students cannot agree on where to place the origin, it may be worthwhile to let different groups try different origins. If students write the equation in the form y = a(x â€“ h)^2 + k, then each of the groups should have the same value for a (parabolic shape) even if their h and k (vertex coordinates) values are different.
Once students realize that they must know the vertex to have an accurate landing place, students should be able to realize that we have insufficient information for Angry Birds 1 and 2. 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. Students may try a variety of strategies including reflecting one side of the parabola over to the other or wanting to use Algebra. The goal is to eventually make sure students are able to use what they know (the coordinates of the vertex and the coordinates of an x-intercept) and the formula y = a(x â€“ h)^2 + k to find out where Angry Bird 3 would have landed.
When I tried to find where it would have landed, I placed the origin slightly left and down from the slingshot so that the origin was where the first white dots on the parabola began. The image â€œAngry Bird #3 (with grid and graph)â€ illustrates where I placed the origin more clearly. With the parabola beginning at my origin it gave me an x-intercept of (0,0) and a vertex located at roughly (9.5, 10.5) if I round to the nearest half unit. If I round to the nearest hundredth unit, the coordinates of the vertex are closer to (9.44, 10.56). Note that the precision with which we pick the coordinates for the origin and vertex will affect how well the equationâ€™s graph matches the screenshot. As a result, I am using the more precise measurements. I then plugged my information to into y = a(x â€“ h)^2 + k to get 0 = a(0 â€“ 9.44)^2 + 10.56. Ultimately I found that a â‰ˆ -0.1185004 giving me an equation of y = -0.1185004(x â€“ 9.44)^2 + 10.56.

Act Three

• ImageAngry Bird #3 (with grid and graph)
• Teacher note
Students need to be reminded at this point that we are still looking for the coordinates of where the Angry Bird would have landed. There are at least two methods for figuring out the location. One would be to graph the parabola for the equation and superimpose that upon the Angry Birds screenshot. I used the Desmos Graphing Calculator website. If students choose that path, I have included what that will look like assuming students picked the origin I picked (refer to the image â€œAngry Bird #3 (with grid and graph)â€). I also included the graph by itself so that students can adjust it to their origin as needed. Using the graphing method, the third bird would land on the ground (note that it is below the x-axis) at about (20.2, -2.2).
• ImageGraph of y = -0.1185004(x â€“ 9.44)^2 + 10.56
• Teacher note
Alternatively students could try to find the location by solving the equation we came up with for when y = -2.2 which is about where it it would hit the ground. Using the solving equation method the third bird would land on the ground at about (19.82, -2.2). The graphing and solving equation answers are not the same and it is worth revisiting the question â€œWhat factors may affect your answerâ€™s accuracy?â€

Sequel

### show 58 more questions

• Libby O\'Connell

March 12, 2013

what is the equation of the parabola needed to knock over the ...?

• Matt Taylor-Byrne

March 13, 2013

will it hit the light?

• Lauren

March 21, 2013

what is the height

• Kevin O'Neil

March 27, 2013

How far will the lamp swing forward?

• Jeffrey

April 01, 2013

Does the last bird knock over the towers?

• Erin

April 03, 2013

What parabola gives the best score?

• Christopher Brownell

April 24, 2013

what is the initial velocity of the birds?

• Karen Hyma

April 28, 2013

What is stacked up on the stage? Are those balls that are being thrown at the stacks?

• Denise Kildea

May 07, 2013

What is the equation of the parabola?

• • • Eric Regier

June 12, 2013

how do we know what angle to shoot the birds off in?

• Golden Teach

June 13, 2013

At what angle does the bird need to be thrown to complete the board?

• Andy Zsiga

June 14, 2013

What is the trajectory.

• Linda Hinds

June 17, 2013

what's th most number of points that can be scored?

• Carla Duffee

July 05, 2013

What is the equation for the parabola

• Chana Messinger

July 10, 2013

How do I make the bird hit the light?

• Sarah Welker

July 11, 2013

What angle do you need to shoot to hit the desired targets?

• July 16, 2013

How should he use his last shot?

• Linda J Dilger

July 25, 2013

What should the next flight path be?

• Anna Wilson

July 25, 2013

does the swinging lamp have any effect on the parabola?

• Biju Raman

July 31, 2013

what trajectory gives me the highest score?

• Jim Anderson

August 01, 2013

What is the initial velocity in each figure?

• Matt Tucker

August 04, 2013

What distance might work?

• Helen Mills

August 05, 2013

How do I know I'll hit the pig

• Jennifer Lyon

August 08, 2013

Is this an Angry Birds knockoff?

• Rosemary Blum

August 09, 2013

what is the equation for the parabola that will hit the first pig?

• Jake Hughes

August 14, 2013

What is the point of the game?

• Joy Lautzenheisert

August 14, 2013

why does this keep stopping?

• Andrew Clarke

August 15, 2013

How far can it go

• Monique Taylor

August 21, 2013

How can I hit the birds?

• August 22, 2013

how long did it take to land?

• Mike

August 22, 2013

When do you send the angry bird to make a perfect u?

• Anna Kearney

August 28, 2013

What angle of release will earn the most points?

• • Oliver De Capitani

September 02, 2013

what shape is the flight path?

• M torres

September 14, 2013

What's the equation

• Stephanie Dakin

September 15, 2013

Can we create a graph to model the birds' paths?

• Emily Hayler

September 16, 2013

At what angle do I need to shoot the bird to hit the lamp?

• Greg Port

September 22, 2013

What damage will that bird do?

• Jenny Sagrillo

September 24, 2013

How can the curve be modeled, and how does it change when the bird hits the light?

• • Lillian Granger

September 29, 2013

How high does the red bird go?

• • Travis Crewdson

October 09, 2013

Can you determine the equation of the parabola?

• Shauna Brion

October 10, 2013

How do they know where to launch the bird, so they hit the light?

• Rachel Gardner

October 12, 2013

Where will the bird land?

• Jeff Depue

October 21, 2013

How can I knock over the the blocks

• Joey Kramer

October 26, 2013

What angle will the last bird need to be fired to hit the rest?

• Charles James

November 01, 2013

What is the equation of the parabola?

• Jessi Stanton

November 01, 2013

Will the bird knock down the cage?

• Donna M Young

November 05, 2013

What is the maximum height for each projectile bird?

• Kaiwen Liu

November 05, 2013

Can the last bird hit the rest of the pigs?

• Eric Carlson

November 06, 2013

The bird will hit the light

• Greg Garris

November 07, 2013

Where will the bird land

• Jessica Driver

November 09, 2013

Write an equation to model the vertical distance as a function of time.

• Sarah Hamor

November 09, 2013

What angle will get me the best hit?

• Elizabeth Warfel

November 13, 2013

what is the best trajectory