UNIT 7 – SHORT TASKS… Questions should be along these lines…
4. If one leg of a right triangle is 8 inches long, and the other leg is 12 inches long, how many inches long is the triangle’s hypotenuse?
Solve the following equation for x: 2x2+6=40… or solving 2 step equations with a square.
If one leg of a right triangle is 7 inches long, and the hypotenuse is 14 inches long, how many inches long is the triangle’s other leg?
TASK TASKS…
TASK: Acting Out
Erik and Kim are actors at the FOX Theater.
Erik lives 5 miles from the theater and Kim lives 3 miles from the theater.
Their boss, the director, wonders how far apart the actors live.
• On grid paper, pick a point to represent the location of the theater.
• Illustrate all of the possible places that Erik could live on the grid paper.
• Using a different color, illustrate all of the possible places that Kim could live on the grid paper.
1. On your graph paper, label the x and y axes of the grid. You are going to plot each scenario on this one grid. Each scenario must have a different starting point. Plot each scenario which represents the possible direction that Erik and Kim live from the theater.
2. For each scenario you have drawn, use the Pythagorean Theorem, whenever possible, to compute the distance between the points.
3. What is the smallest distance, d, that could separate their homes? How do you know?
4. What is the largest distance, d, that could separate their homes? How do you know?
5. If Erik lived 5 miles north of the theater and Kim 3 miles west, what is the shortest distance between their homes?
TASK WITH IRRATIONAL SIDE LENGTH
http://oaklandk12-public.rubiconatlas.org/c/etc/getFile.php?originalFile=8-Right%2BTriangle%2BAssessment%2BTask.doc&FileID=E471C266-993E-499D-9BBD-5B7A854E2A1E&download=8-Right+Triangle+Assessment+Task.doc&CurriculumLinkID=13245&YearID=2013&
TASK with finding distances
http://oaklandk12-public.rubiconatlas.org/c/etc/getFile.php?originalFile=Right%2BTriangle%2BRelationships%2BIndependent%2BPractice.jpg&FileID=01D84031-44C7-4A7A-AC90-6E06E1351045&download=Right+Triangle+Relationships+Independent+Practice.jpg&CurriculumLinkID=13246&YearID=2013&
Jane’s T.V.
Jane is hoping to buy a large new television for her den,
but she isn’t sure what size screen will be suitable for her wall.
This is because television screens are measured by their diagonal line.
This 42 inch screen measures 32 inches along its base.
1. What is the height of its screen ? ______
Show how you know.
2. What is the area of the screen? ______square inches
3. Jane would like to have a screen 40 inches wide and 32 inches high.
About what screen size will she need to buy? ______inches
Show how you figured this out
TASK: Comparing TVs
Vehicle Viewing, Inc. and Traveling TV Co. have each designed new small HD flat-screen square-shaped televisions to be used in automobiles. They feel that these will be very popular because of the desire for parents to entertain their children during the many hours spent in traffic each day. Television size is measured along the diagonal. The diagonal in the Vehicle Viewing, Inc. television is 75 inches and the Traveling TV Co. television has a diagonal of 8.5 inches.
You are the owner of a packaging company and both Vehicle Viewing, Inc. and Traveling TV Co. have hired you to package their new televisions.
1. Who has the larger television? How do you know?
2. To protect the screen, you need to place a protective foam sheet between the screen and the box. Find the area of each television screen so that you know how much sheeting you will need to order. Verify your results.
3. In order to prevent breakage, you will need to put some foam ribbon around the sides of the television. Exactly how much foam ribbon will need to be used for each television? Justify your answer.
ANGRY BIRDS TASK – 20 questions
https://www.georgiastandards.org/Common-Core/Common%20Core%20Frameworks/CCGPS_Math_8_8thGrade_Unit3SE.pdf
PROOFS OF THE PYTHAG TASK
http://www.map.mathshell.org/materials/tasks.php?taskid=276#task276
PICK TWO POINTS AND FIND DISTANCE BETWEEN THEM USING PYTHAGOREAN THEOREM.