Geometry Unit 4

Recommended time: 11 days, November 6th to 21st .

Thanksgiving break is November 22nd -24th

There is a test at the end of this section Continue to retake the test until it is satisfactorily completed.

You may work on assignments in groups of 1, 2 or 3. You will turn in the work on November 21st.

Project outcome:

Discover properties of sides and angles of triangles, and prove congruence of triangles.

4.1 Triangle Sum Conjecture

Investigation (p.200) At least 2 triangles per group member.

Questions 1-16, and two of 17-25 (begin page 203).

Extra credit: Improve your Visual thinking (p. 205) Construct the hexagons, show the equal parts.

4.2 Isosceles Triangles

Investigation 1 and 2 (p.207) Each person makes both constructions.

Questions 1-10 and one of 11-17 (begin p.208). Show your reasoning. Don't measure!

Extra credit: Improving your reasoning (p.211) Show how you get your results

Algebra Skills Solving Equations all questions

4.3 Triangle Inequalities

Investigation 1, 2 and 3 (begin p.216). Do not draw on the book. Use patty paper.

Questions 1-18 and two of 19-24 (begin p.218)

Extra credit: Project (p. 220) Your data file should be sent via email

4.4 Congruence shortcuts

Investigation 1, 2 and 3 (p.222) Each person makes all constructions

Questions 1-21 (begin p.224) and two of 23-27

Extra credit: Improving your reasoning (p. 226). Describe each step in words or pictures. You can only use exact values, no estimates.

4.5 More congruence theorems

Investigation (begin p.227) Each person makes all constructions

Questions 1-19 and three of 20-28 (begin p. 229)

Extra credit: Algebra Skills (p. 231) Give a written explanation for each part.

4.6 CPCTC

Questions 1-9, three of 13-23 (begin p. 233)

Extra credit: Polya’s problem

4.7 Flowcharts

Questions 1-5, and two of 8-18 (p.240)

Extra credit: Improve your reasoning (p. 242) photograph or sketch your layout.

4.8 Proving conjectures about special triangles

Investigation (p. 244) Each person makes all constructions.

Questions 1-7, 11 and two of 12-18 (p.245)

Extra credit: Improve your algebra skills (p. 248) Have x be the month and y be the day.

Extra credit: Exploration, Napoleon’s Triangle (p.249) email your GSP file

Extra credit: Project (p.250) There should be at least 2 triangles per group member.

Review begins p. 251. Complete and turn in with your rubric and all work

You should complete the rubric check, and turn in a copy with your work. Your teacher will also check it. Give yourself 1 to 4 points in the left column: your teacher will use the column on the right.

Rubric ( turn in with your project) Self-grade teacher / Self-grade teacher
4.1) Investigation / 4.1) questions 1-16, two of 17-25
4.2) Investigation & Constructions / 4.2) questions 1-10 , one of 11-17
Algebra skills notes / Algebra skills solving equations
4.3) Investigation & constructions / 4.3) questions 1-18,two of 19-24
4.4) Investigation with Triangles / 4.4) questions 1-21, two of 23-27
4.5) Investigation & Constructions / 4.5) questions 1-19, three of 20-28
4.6) notes / 4.6) questions 1-9, three of 13-23
4.7) notes / 4.7) questions 1-5, two of 8-18
4.8) Investigations and constructions / 4.8) questions 1-7, 11 two of 12-18
review / Completed Webwork 4
Daily work
4.1Investigation sketchpad (triangle sum)
4.2 isoceles triangle sketchpad
Algebra skills worksheet
4.3investigation sketchpad
4.4investigation sketchpad
4.5investigation sketchpad
Algebra sequence worksheet
Warm-ups
Exit slips / Extra credit
hundreds puzzle p. 211
Project (Random triangles)
Container problem (make EXACT value)
Algebra sequences 1 p.231
Project p.236 including models
pick a card ( p.242)
number tricks p. 248
Napoleon's triangle p. 249
Lines and triangles p.250