Math

Chapter Task: Transmission Towers

*Used for schoolwork, not for commercial purposes.*

Imagine that you are an engineer. You are designing a radio transmission tower that will be 100 m high. It will be supported by cables, called guy wires, as follows:

  • The guys wires will be anchored on the ground at three equally spaced locations in a circle around the tower.
  • The distance of the anchor points from the base of the tower  will be one quarter of the height of the tower.
  • There will be five guy wires from each anchor point. The guy wires will be attached to five points on the tower at 20 m intervals, going up.

A. Draw a diagram as if you were looking down at the base of the tower. Show the location of the three anchor points. Explain how you know that the anchor points are equally spaced around the tower, and that they are all the same distance from the base of the tower.

B. How far are the anchor points from the base of the tower?

C. Draw a side view of the tower, showing all the guy wires from one anchor point.

D. Calculate the total amount of guy wire needed. Each guy wire requires 2 m at each end to attach it to the tower and the base. Round your answer to the closest metre. Show all your work.

Success Criteria for Transmission Tower Presentations

Success Criteria:

Visuals

  • Consistent visual theme
  • Visuals are dynamic not static
  • Visuals relating to the problem
  • Interesting, engaging and legible

Audio

  • Audible voice over
  • Audio synced

Content

  • Formula, Substitution, and Calculation
  • Use pythagorean theorem
  • Correct information
  • Organized
  • Only most important text; highlights
  • All steps; show your work
  • Titles, labels, and headings

Due Date: Monday

Early Due Date: Tomorrow

Grade 8 Assignment – Geometry Anchor Charts

You will create a small anchor chart for one of the terms related to the current math unit.  Select from the list of terms below.  Claim you term by posting a reply indicating the number and term that you’re working on.  Do not duplicate anyone else’s term.

Success Criteria:

  • neatly drawn diagram (use appropriate tools such as rulers, markers, etc.)
  • tidy printing (cut and paste large font text if you can’t print neatly)
  • illustration is error free
  • definition is correct, and has no errors in spelling or grammar
  • large enough to be read from across the room
  • prepared on about 1/3 to 1/2 of a sheet of chart paper

Due Thursday February 5th Friday February 6th at the beginning of math class.

Terms

1. equidistant

2. perpendicular bisector

3. opposite angles

4. adjacent angles

5. straight angle

6. supplementary angles

7. transversal

8. corresponding angles

9. co-interior angles

10. parallel lines

11. complementary angles

Grade 8 Math – Measuring and Constructing Angles 2

Create a note for the definitions of all math vocabulary p 338 -339.

Recreate the communication tip on 339 in your notes.

Create a note for the definitions of all math vocabulary on p 340-341.

Recreate the examples in your notes.  Draw diagrams that are titled and labelled NEATLY.  Use a ruler, or better yet, create this note electronically.

Highlight angles with colours to make the note useful.

Due in first period tomorrow – February 5th.

Geometry Set

All students in class 87 should bring a geometry set to school with them every day starting on Monday.  At the very least, you need to have a reliable compass for drawing accurate circles.  Avoid the really flimsy type that open or close easily.  You want one that can plant itself firmly into the paper and hold its shape while you draw a circle.