Download Mathematics Pacing Resource Document

Mathematics Pacing Resource Document
Geometry – Triangle Strand
Standard:
G.T.1: Prove and apply theorems about triangles, including the following: measures of interior angles of a triangle sum to
180°; base angles of isosceles triangles are congruent; the segment joining midpoints of two sides of a triangle is parallel to
the third side and half the length; the medians of a triangle meet at a point; a line parallel to one side of a triangle divides the
other two proportionally, and conversely; the Pythagorean Theorem, using triangle similarity; and the isosceles triangle
theorem and its converse.
I can:
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Prove and apply the theorem that the interior angles of a triangle sum to 180°.
Prove and apply the theorem that the base angles of isosceles triangles are congruent.
Prove and apply the theorem that the segment joining midpoints of two sides of a triangle is parallel to the third side and half the length.
Prove and apply the theorem that the medians of a triangle meet at point.
Prove and apply the theorem that a line parallel to one side of a triangle divides the other two proportionally, and conversely.
Prove and apply the theorem that the Pythagorean Theorem, using triangle similarity.
Prove and apply the theorem that the isosceles triangle theorem and its converse.
Lesson Plans/Print Activities:
Web-based Practice:
Quarter One
Standard Geometry - McDougal Littell Textbook
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This provides a platform for students to practice proving various
concepts. Immediate feedback is provided:
http://feromax.com/cgi-bin/ProveIt.pl
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This task is designed to specifically work with a proof of the
Pythagorean Theorem:
http://map.mathshell.org/materials/lessons.php?taskid=419&su
bpage=concept
 Material not covered in Quarter 1
Honors Geometry – Glencoe McGraw-Hill Textbook
 Sec. 4.2 Angles of Triangles (include p. 243)
 Sec. 4.3 Congruent Triangles
 Sec. 4.4 Prove Triangles Congruent by SSS,SAS,AAS,ASA
Quarter Two
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Curriculum and Instruction
Mathematics Pacing Resource Document
Standard Geometry - McDougal Littell Textbook
 Sec. 4.1- Apply Triangle Sum Properties
p. 222 # 29, 30, 39
 Sec. 4.2- Apply Congruence and Triangles
p. 229 # 17, 22, 32
 p. 333 # 1-4
 Sec. 4.3- Prove Triangles Congruent by SSS
p. 238 #22, 23, 28, 29
 Sec. 4.4-Prove Triangles Congruent by SAS and HL
p. 245 # 31, 32,33
 p. 247 #1-3
 Sec. 4.5- Prove Triangles Congruent by ASA and AAS
p. 254 #23,24,26,
 Sec. 4.6-Use Congruent Triangles
p. 261 # 28-30
 Sec. 4.7-Use Isosceles and Equilateral Triangles
p. 269 #38, 39, 40, 41
 Sec. 5.1-Midsegment Theorem and Coordinate Proof
p. 300 # 35, 38,
 Sec. 5.4-Use Medians and Altitudes
p. 324 # 37, 38, 39
 Sec. 5.6-Inequalities in Two Triangles and Indirect Proof
p. 340 # 22, 23,25
p. 342 #1-6
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This link includes several tutorials pertaining to proofs of
triangles. Select the appropriate topic:
https://www.khanacademy.org/search?page_search_query=tria
ngles+proof
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This site contains activities for proving triangles. Click on the link
and scroll down to open a teacher and a student pdf.
To prove base angles of isosceles triangles are congruent, open
the Teacher guide to p. 190-198. Student activities occur in
student guide on p. 131-137.
To prove medians of a triangle meet at a point, open the
teacher guide to p. 239-241. Student activities occur in the
student guide on p. 173-176.
https://www.engageny.org/resource/geometry-module-1
Honors Geometry – Glencoe McGraw-Hill Textbook
 Sec. 4.5- Proving Triangles Congruent – ASA, AAS
p. 279 # 23, 24,
 Sec. 4.6-Isosceles and Equilateral triangles
Indianapolis Public Schools
Curriculum and Instruction
Mathematics Pacing Resource Document
p. 289 # 26, 27, 44
 Sec. 7.3-Similar Triangles
p. 481 29, 32, 35
Quarter Three
Standard Geometry - McDougal Littell Textbook
 Sec. 7.1- Apply the Pythagorean Theorem
p. 438 #31, 32, 34, 35,
 Sec. 7.2- Use the Converse of the Pythagorean Theorem
p. 445 #35, 36, 37,38, 39
Honors Geometry – Glencoe McGraw-Hill Textbook
 Sec. 8.2- The Pythagorean Theorem and Its Converse
p. 548 #44-49, 51
Indianapolis Public Schools
Curriculum and Instruction