Download Mathematics Pacing Resource Document

Mathematics Pacing Resource Document
Geometry – Circles
Standard:
G.CI.7: Construct the inscribed and circumscribed circles of a triangle with or without technology, and prove properties of
angles for a quadrilateral inscribed in a circle.
I can:
 Construct the inscribed and circumscribed circles of a triangle with the without technology.
 Prove properties of angles of a quadrilateral inscribed in a circle
Lesson Plans/Print Activities:
Web-based Practice:
Quarter One
 Material not covered in Quarter One

This tutorial provides an explanation for inscribing and
circumscribing circles on triangles:
https://www.khanacademy.org/math/geometry/geometricconstructions/circum-incircles/e/inscribing_and_circumscribing_circles_on_a_triangle

This task provides practice for inscribing a triangle in a circle:
https://www.illustrativemathematics.org/illustrations/1013

This task provides practice for inscribing a right triangle in a circle:
https://www.illustrativemathematics.org/illustrations/1093

This task provides guidance for inscribing and circumscribing right
triangles:
http://map.mathshell.org/materials/lessons.php?taskid=403&subp
age=problem
Quarter Two
Standard Geometry - McDougal Littell Textbook
 Sec. 5.2- Use Perpendicular Bisectors
p. 308 # 24, 25, 28, 29
Honors Geometry – Glencoe McGraw-Hill Textbook
Indianapolis Public Schools
Curriculum and Instruction
Mathematics Pacing Resource Document
Geometry – Logic and Proofs Strand
Standard:
G.LP.1: Understand and describe the structure of and relationships within an axiomatic system (undefined terms, definitions,
axioms and postulates, methods of reasoning, and theorems). Understand the differences among supporting evidence,
counterexamples, and actual proofs.
I can:
 Understand the difference among supporting evidence, counterexamples, and actual proofs.
Lesson Plans/Print Activities:
Web-based Practice:
Quarter One
 Material not covered in Quarter One
Quarter Two
Standard Geometry - McDougal Littell Textbook

This provides online practice for students regarding
counterexamples:
http://www.ixl.com/math/geometry/counterexamples
 Sec. 5.1- Midsegment Theorem and Coordinate Proof
p. 299 # 34, 35,38, 43
 Sec. 5.2- Use Perpendicular Bisector
p. 308 #24,25, 28,29
 Sec. 5.3- Use Angle Bisectors of Triangles
p. 315 #28, 29, 31, 32, 33
 Mixed Review
p. 317 # 1-7
Honors Geometry – Glencoe McGraw-Hill Textbook
 Not in Quarter Two
Indianapolis Public Schools
Curriculum and Instruction
Mathematics Pacing Resource Document
Geometry – Logic and Proofs Strand
Standard:
G.LP.4: Develop geometric proofs, including direct proofs, indirect proofs, proofs by contradiction and proofs involving
coordinate geometry, using two-column, paragraphs, and flow charts formats.
I can:
 Develop geometric proofs using direct and indirect proofs.
 Develop geometric proofs using contradiction and proofs involving coordinate geometry.
 Develop geometric proofs using a two-column format, a paragraph format and a flow chart format.
Lesson Plans/Print Activities:
Web-based Practice:
Quarter One

This provides a platform for students to practice proving various
concepts. Immediate feedback is provided:
http://feromax.com/cgi-bin/ProveIt.pl

This task is designed to specifically work with congruence
proofs:
http://map.mathshell.org/materials/lessons.php?taskid=452&su
bpage=concept

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
Standard Geometry - McDougal Littell Textbook
 Sec. 2.4 Use Postulates and Diagrams
p. 101 #34-39
 Sec. 2.5 Reason Using Properties of Algebra
p. 110 #33
 Persuasive Letter
 Sec. 2.6 How Proofs are used in Mathematics: Angles and Segments
p. 119 #29
 Sec. 2.7 Prove Angle Pair Relationships
p. 129 #36, 37
Honors Geometry – Glencoe McGraw-Hill Textbook
 Sec. 2.5 Postulates and Paragraph Proofs
p. 130
 Sec. 2.6 Algebraic Proofs
p. 140 #37
 Sec. 2.7 Proving Segments Relationship
p. 147 #17
Indianapolis Public Schools
Curriculum and Instruction
Mathematics Pacing Resource Document
 Sec. 2.8 Proving Angle Relationship
p. 156 #32
 Sec. 3.5 Proving Lines Parallel
H.O.T. p. 211 #37
Quarter Two
Standard Geometry - McDougal Littell Textbook
 Sec. 4.4- Prove Triangles Congruent by SAS and HL
p. 245 #34, 35,36
 Sec. 4.5- Prove Triangles Congruent by ASA and AAS
p. 255 # 31,32,33,34,35
 Sec. 4.6- Use Congruent Triangles
p. 262 #37, 38,39
 Sec. 4.7-Use Isosceles and Equilateral Triangles
p. 270 #47, 48, 49
 Sec. 5.3- Use Angle Bisectors of Triangles
p. 315 # 34, 35, 36
 Sec. 5.6- Inequalities in Two Triangles and Indirect Proof
Honors Geometry – Glencoe McGraw-Hill Textbook
 Sec. 4.8- Triangles and Coordinate Proof
p. 305 #19-22
 Sec. 5.1- Bisector of Triangles
p. 329 #37, 38, 39, 40
 Sec. 5.4- Indirect Proofs
p. 355 #23-28
 Sec. 5.6- Inequalities in Two Triangles
p. 374 #28, 29
Indianapolis Public Schools
Curriculum and Instruction
Mathematics Pacing Resource Document
Geometry – Points, Lines, Angles, and Planes
Standard:
G.PL.5: Explain and justify the process used to construct, with a variety of tools and methods (compass and straightedge,
string, reflective devices, paper folding, dynamic geometric software, etc.), congruent segments and angles, angle bisectors,
perpendicular bisectors, altitudes, medians, and parallel and perpendicular lines.
I can:
 Explain and justify the process used to construct congruent segments and angles.
 Explain and justify the process used to construct angle bisectors and perpendicular bisectors.
 Explain and justify the process used to construct altitudes and medians.
 Explain and justify the process used to construct parallel and perpendicular lines.
Lesson Plans/Print Activities:
Web-based Practice:
Quarter One
Standard Geometry - McDougal Littell Textbook

This link provides visuals and explanations for various
constructions. Click on the appropriate topic:
http://www.mathopenref.com/tocs/constructionstoc.html

This link also provides visuals and explanations for various
constructions. Click on the appropriate topic:
http://www.mathsisfun.com/geometry/construct-30degree.html
 Sec. 1.4 Measure and Classify Angles
Honors Geometry – Glencoe McGraw-Hill Textbook




Sec. 1.3 Distance and Midpoint
Sec. 1.4 Angle Measure
Sec. 1.5 Angle Relationships
Sec. 3.5 Proving Lines Parallel
Quarter Two
Standard Geometry - McDougal Littell Textbook
 Sec. 4.6 – Congruent Triangles
p. 261 # 32
Honors Geometry – Glencoe McGraw-Hill Textbook
p. 321
p. 332
Indianapolis Public Schools
Curriculum and Instruction
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:







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

This provides a platform for students to practice proving various
concepts. Immediate feedback is provided:
http://feromax.com/cgi-bin/ProveIt.pl

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
Indianapolis Public Schools
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

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

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
Indianapolis Public Schools
Curriculum and Instruction
Mathematics Pacing Resource Document
Geometry – Triangle Strand
Standard:
G.T.2: Explain how the criteria for triangle congruence (ASA, SAS, and SSS) follow from the definition of congruence in terms
of rigid motions.
I can:
 Explain the definition of triangle congruence using one of the following – ASA, SAS, and SSS.
Lesson Plans/Print Activities:
Web-based Practice:
Quarter One

This activity demonstrates properties of triangle congruence:
http://www.mathopenref.com/congruenttriangles.html
Standard Geometry - McDougal Littell Textbook
 Material not covered in Quarter 1

This activity allows students to work with rigid motions in
conjunction with congruence:
http://webcache.googleusercontent.com/search?q=cache:08QL3r_
jP2cJ:https://www.engageny.org/file/57566/download/geometrym1-topic-c-lesson-19student.pdf%3Ftoken%3DrVcXBSShRCGJM4CWZSOK2JgoHwUG2Jfj
Gu70Gn405QM+definiton+of+rigid+motions+engageny&cd=1&hl=
en&ct=clnk&gl=us&client=firefox-a
Honors Geometry – Glencoe McGraw-Hill Textbook
 Sec. 4.4 Prove Triangles Congruent by SSS,SAS,AAS,ASA
Quarter Two
Standard Geometry - McDougal Littell Textbook
 Sec. 4.2- Apply Congruence and Triangles
p. 229 # 17, 22, 32
 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
Indianapolis Public Schools
Curriculum and Instruction
Mathematics Pacing Resource Document
 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
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
p. 289 # 26, 27, 44
 Sec. 4.8-Triangles and Coordinate Proofs
p. p. 305 # 27, 29,
Indianapolis Public Schools
Curriculum and Instruction
Mathematics Pacing Resource Document
Geometry – Triangle Strand
Standard:
G.T.3: Explain and justify the process used to construct congruent triangles with a variety of tools and methods (compass and
straightedge, string, reflective devices, paper folding, dynamic geometric software, etc.).
I can:
 Explain and justify the process used to construct congruent triangles with a variety of tools and methods.
Lesson Plans/Print Activities:
Web-based Practice:
Quarter One
Standard Geometry - McDougal Littell Textbook
 Material not covered in Quarter 1
Honors Geometry – Glencoe McGraw-Hill Textbook
 Sec. 1.7 Three-Dimensional Figures
 Sec. 4.4 Prove Triangles Congruent by SSS,SAS,AAS,ASA

Virtual Nerd: Geometry
- Congruent and Similar Solids

http://www.geom.uiuc.edu/~sjensen/H2TEA.html

http://jwilson.coe.uga.edu/EMT668/EMAT6680.2000/Simmons/e
mat6700/Chapter4/tricongruent.htm

http://websites.wnc.edu/~downs/Math123/123s12-1.pdf
Quarter Two
Standard Geometry - McDougal Littell Textbook
 Sec. 4.3- Prove Triangles Congruent by SSS
p. 238 #22, 23, 28, 29
 p. 247 # 1-3
 Sec. 4.6-Use Congruent Triangles
p. 261 # 28-30
 Sec. 5.2- Use Perpendicular Bisectors
p. 308 # 24, 25, 28
 p. 317 #1-7
 p. 318 #1-3
Indianapolis Public Schools
Curriculum and Instruction
Mathematics Pacing Resource Document
Honors Geometry – Glencoe McGraw-Hill Textbook
 Sec. 4.5- Proving Triangles Congruent – ASA, AAS
p. 279 # 23, 24,
Indianapolis Public Schools
Curriculum and Instruction
Mathematics Pacing Resource Document
Geometry – Triangle Strand
Standard:
G.T.4: Given two triangles, use the definition of similarity in terms of similarity transformations to decide if they are similar;
explain using similarity transformations the meaning of similarity for triangles as the equality of all corresponding pairs of
angles and the proportionality of all corresponding pairs of sides, and to establish the AA criterion for two triangles to be
similar.
I can:
 Determine if two triangles are similar using similarity transformations.
Lesson Plans/Print Activities:
Web-based Practice:
Quarter One
 Material not Covered in Quarter One

http://www.ck12.org/book/CK-12-Geometry-HonorsConcepts/section/6.3/
Quarter Two

https://learnzillion.com/lessons/2361-show-triangle-similarityusing-translation

https://www.illustrativemathematics.org/illustrations/1422

https://learni.st/boards/1711/learnings/15498-similar-trianglesusing-angle-angle-criterion
Standard Geometry - McDougal Littell Textbook
Honors Geometry – Glencoe McGraw-Hill Textbook
 Sec. 7.6 – Similarity Transformation
p. 510 # 20, 22,23
Indianapolis Public Schools
Curriculum and Instruction
Mathematics Pacing Resource Document
Geometry – Triangle Strand
Standard:
G.T.6: Prove and apply the inequality theorems, including the following: triangle inequality, inequality in one triangle, and the
hinge theorem and its converse.
I can:
 Prove and apply the triangle inequality.
 Prove and apply the triangle inequality in one triangle.
 Prove and apply the hinge theorem and its converse.
Lesson Plans/Print Activities:
Quarter One
 Material not covered in Quarter One
Quarter Two
Standard Geometry - McDougal Littell Textbook
 Sec. 5.5 –Use Inequalities in a Triangle
p. 333 # 37, 38, 39, 44
 Sec. 5.6- Inequalities in Two Triangles and Indirect Proof
p. 340 #22, 23, 24
 P. 342 #1-6
Web-based Practice:
 Learn Zillion

http://mathworld.wolfram.com/HingeTheorem.html

http://www.virtualnerd.com/geometry/trianglerelationships/inequalities-two-triangles/hinge-theorem-comparesides

http://www.geogebra.org/en/upload/files/english/nebsary/SasIne
quality/SAS.html
Honors Geometry – Glencoe McGraw-Hill Textbook
 Sec. 5.3 – Inequalities in One Triangle
p. 347 # 38, 42, 43, 47, 48
 Sec. 5.5- The Triangle Inequality
p. 364 # 24, 31, 32, 33, 43, 47
 Sec. 5.6- Inequalities in Two Triangles
p. 373 # 21, 22, 27, 30, 38, 39,
Indianapolis Public Schools
Curriculum and Instruction
Mathematics Pacing Resource Document
Geometry – Triangle Strand
Standard:
G.T.7: State and apply the relationships that exist when the altitude is drawn to the hypotenuse of a right triangle.
Understand and use the geometric mean to solve for missing parts of triangles.
I can:
 State and apply the relationships that exist when the altitude is drawn to the hypotenuse of a right triangle.
 Understand and use the geometric mean to solve for the missing parts of triangles.
Lesson Plans/Print Activities:
Web-based Practice:
 Learn Zillion
Quarter One
Quarter Two
Standard Geometry - McDougal Littell Textbook
 Sec. 5.4-Use Medians and Altitudes
p. 324 # 37, 38, 39
Honors Geometry – Glencoe McGraw-Hill Textbook
 Not Covered in Quarter Two
Indianapolis Public Schools

http://www.algebra.com/algebra/homework/word/geometry/Altit
ude-drawn-to-the-hypotenuse-in-a-right-triangle.lesson

http://jwilson.coe.uga.edu/emt668/emat6680.folders/brooks/669
0stuff/righttriangle/rightday3.html

http://www.mathwarehouse.com/geometry/similar/triangles/geo
metric-mean.php

http://www.regentsprep.org/Regents/math/geometry/GP12/LMea
nP.htm
Curriculum and Instruction
Mathematics Pacing Resource Document
Q
Standard:
G.T.9: Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to
definitions of trigonometric ratios for acute angles.
I can:
 Understand by similarity side ratios in right triangles are properties of the angles in the triangle.
 Understand that by similarity the definitions of trigonometric ratios for acute angles.
Lesson Plans/Print Activities:
Web-based Practice:
 Learn Zillion
Quarter One
Quarter Two
Standard Geometry - McDougal Littell Textbook
 Not Covered in Quarter Two
Honors Geometry – Glencoe McGraw-Hill Textbook
 Sec. 7.5 – Parts of Similar Triangles
p. p. 501 29, 30, 31, 33
Indianapolis Public Schools

http://www.montereyinstitute.org/courses/DevelopmentalMath/C
OURSE_TEXT2_RESOURCE/U19_L1_T1_text_final.html

http://www.themathpage.com/atrig/definitions-trigonometric.htm

http://www.purplemath.com/modules/basirati.htm
Curriculum and Instruction