Angela CooperKirk Webber

Theresa AllisonEDCI 591

Transitioning from Algebra to Geometry_____________________________________________________________________________________ Unit Title – Transitioning from Algebra to Geometry Lesson Title – Measuring the Egyptian Way Course Title – Algebra/Geometry Time Frame – 1 ½ days (normal scheduling: 50 minute class period) Topic/Concept – Right Triangle Lengths (Section 3.4) Prerequisite/Prior Knowledge – A working knowledge of the Pythagorean

Theorem and inequalities. Purpose and/or Goal(s) – Determine whether a triangle is a right triangle based

on its side lengths. Relate areas of squares to the lengths of the sides. Standards –

Geometry Core Standard 3: Triangleso Prove the Pythagorean Theorem and its converse and use them to

solve problems. Develop simple geometric proofs involving triangles. Define trigonometric functions in terms of angles of right triangles and use them to solve problems.

[Standard Indicators: G.2.16, G.2.17, G.2.14, G.2.19, G.2.21] NCTM Process Standards:

o Problem Solving, Reasoning &Proof, Communication, Connections, and Representation.

NCTM Reasoning with Algebraic Symbolso Connecting algebra with geometry.

Materials Needed – Handouts pg. 36 ( “Looking for Pythagoras” Connected Mathematics 2). Homework pgs. 38-45 (Students need to bring to class.) See Appendix A. Transparency 3.4 (“Looking for Pythagoras” Connected Mathematics 2).

See Appendix E. String Straws or polystrips Centimeter rulers

Launch – Appendix Bo How could/did you organize your information? Your thinking?o What information is needed? Not needed?o How did you reach that conclusion? o Does anyone have the same answer but a different way to explain it?o What would happen if you chose random side lengths?

Explore – Appendix Bo What strategies did you use?o How did you reach that conclusiono Explain how you did this part.o How did you begin to think about this problem?o Tell me more about what you did.

Note: Give the students a ten minute warning before moving to the summary section. Allow yourself 10-15 minutes to complete the summary.

Summary - Appendix Bo What strategies did you use?o Why is this a reasonable answer?o How did you reach that conclusion?o What other ways might work?o Does that always work?o What would happen if you chose only random numbers?o What is the pattern or rule?o How did you think about the problem?

Assessment – The teacher will informally assess the students’ understanding during the class period. The teacher will use the students’ answers to determine if more details or examples are needed, or if the students have a general understanding of the material. The teacher will be assessing the students while they are working by walking around and checking on the progress the students are making. This assessment will be informally done by listening to the students’ responses and the feedback that the students are giving. The teacher will use the homework as a formal assessment to assess each individual student’s understanding. If the majority of the students answered and solved the problems correctly, the teacher can assume that most of the students have a good understanding of the material. The teacher can also use the responses during the class discussions to determine if individual students understand the material.

Homework questions: 15-17, 25 pgs. 40-42. See Appendix C.

Homework answers: Homework answers can be found in Appendix D. References/Resources – “Looking for Pythagoras” from Connected Mathematics 2(2009 by Michigan State University)

Prentice Hall and Pearson Prentice Hall.Indiana Academic Standards: Mathematics Teacher Edition. (2006, August 21). Retrieved

February 4, 2009, from Indiana Department of Education: http://dc.doe.in.gov/Standards/AcademicStandards/PrintLibrary/docs-math/

2006-math-geometry.pdf.

National Council of Teachers of Mathematics (2000). Principles and Standards for School

Mathematics. Retrieved February 5, 2009, from http://my.nctm.org/standards/

document/index.htm. Appendices –

Appendix A – Student Textbook Questions Appendix B - Launch/Explore/Summary & Student Page Answers Appendix C - Homework QuestionsAppendix D - Homework Answer KeyAppendix E - Transparencies

Appendix A

Appendix B

Launch/Explore/Summary & Student Page Answers

Appendix CHomework 24, 27-35

Appendix D Homework Answers

Appendix ETransparencies