Download Mathematics Pacing Resource Document

Mathematics Pacing Resource Document
Geometry – Triangle Strand
Standard:
G.T.10: Use trigonometric ratios (sine, cosine and tangent) and the Pythagorean Theorem to solve real-world and
mathematical problems involving right triangles.
Key Vocabulary:
Trig Ratios: ratios that compare the lengths of 2 sides of a right triangle
SOHCAHTOA: Sine Opposite/Hypotenuse; Cosine Adjacent/Hypotenuse; Tangent Opposite/Adjacent
Pythagorean Theorem: in a right triangle the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs
I can:


Use trig ratios to solve real-world problems involving right triangles.
Use Pythagorean Theorem to solve real-world problems involving right triangles.
Lesson Plans/Print Activities:
Quarter Three
Web-based Practice:

This provides an opportunity for students to practice online.
Immediate feedback is provided:
http://www.regentsprep.org/regents/math/algebra/at2/ltrig.htm

This tutorial provides an explanation of the trig ratios:
http://www.shmoop.com/video/act-math-43-trigonometry

These handouts includes real-world problems involving right
triangles:
http://www.shmoop.com/common-core-standards/handouts/gsrt_worksheet_8.pdf
Material not covered in Quarters One and Two
Standard Geometry - McDougal Littell Textbook
 Sec. 7.3- Use Similar Right Triangles
p. 455 #29, 30, 31
 Sec. 7.5-Apply the Tangent Ratio
p. 471 # 31, 32 33, 34
 Sec. 7.6-Apply the Sine and Cosine Ratios
p. 33,34,35,36
 Sec. 7.7- Solve Right Triangles
p. 487 # 34, 35, 36, 38, 39, 41
 P. 492 # 1-7
Indianapolis Public Schools
http://www.shmoop.com/common-core-standards/handouts/gsrt_worksheet_8_ans.pdf (Answer Key)
Curriculum and Instruction
Mathematics Pacing Resource Document
Honors Geometry – Glencoe McGraw-Hill Textbook
 Sec. 8.4- Trigonometry
p. 569 #56, 61, 62, 63,
 Sec. 8.5- Angles of Elevation and Depression
p. 578 # 18, 19, 20
Indianapolis Public Schools
Curriculum and Instruction
Mathematics Pacing Resource Document
Geometry – Quadrilaterals and Polygons Strand
Standard:
G.QP.1: Prove and apply theorems about parallelograms, including the following: opposite sides are congruent; opposite
angles are congruent; the diagonals of a parallelogram bisect each other; and rectangles are parallelograms with congruent
diagonals.
Key Vocabulary:
Parallelogram: a quadrilateral in which both pairs of opposite sides are parallel
I can:
 Prove and apply that opposite sides of a parallelogram are congruent.
 Prove and apply that opposite angles of a parallelogram are congruent.
 Prove and apply that the diagonals of a parallelogram bisect each other.
 Prove and apply that rectangles are parallelograms with congruent diagonals.
Lesson Plans/Print Activities:
Web-based Practice:

This lesson provides an opportunity for students to practice with
the proofs referenced in this standard. Click the link and then click
the link at the top of this page for a pdf:
http://webcache.googleusercontent.com/search?q=cache:S7yKdn6
3SvsJ:https://www.engageny.org/file/58436/download/geometrym1-topic-e-lesson-28student.pdf%3Ftoken%3DzVkiBV7Hj8f5l0w1zKQq7py_WtMvZiZp5q
u__SwS3aU+engageny+proof+parallelogram&cd=1&hl=en&ct=clnk
&gl=us&client=firefox-a

This is the teacher resource link that goes with the handouts
above.
http://webcache.googleusercontent.com/search?q=cache:HpPaXC
LYm5gJ:https://www.engageny.org/file/58451/download/geometr
y-m1-topic-e-lesson-28teacher.pdf%3Ftoken%3DVeuMtiuggE_vHXAS_BQNf77XeYOR7Vsv
Quarter Three
Standard Geometry - McDougal Littell Textbook
 Sec. 8.3 – Show that a Quadrilateral is a Parallelogram
p. 527 #30, 31, 32
 Sec. 8.6 – Identify Special Quadrilaterals
p. 556 #33-36
Honors Geometry – Glencoe McGraw-Hill Textbook
 Sec. 6.2- Parallelograms
p. 406 # 38, 40, 41, 42
 Sec. 6.3- Tests for Parallelograms
p. 416 # 37, 39, 40, 42
Indianapolis Public Schools
Curriculum and Instruction
Mathematics Pacing Resource Document
1yiA3ccTItA+engageny+proof+parallelogram&cd=2&hl=en&ct=clnk
&gl=us&client=firefox-a
Indianapolis Public Schools

This tutorial provides a proof that opposite sides of a parallelogram
are congruent:
https://www.khanacademy.org/math/geometry/quadrilateralsand-polygons/quadrilaterals/v/proof-opposite-sides-ofparallelogram-congruent

This tutorial provides a proof that diagonals of a parallelogram
bisect each other:
https://www.khanacademy.org/math/geometry/quadrilateralsand-polygons/quadrilaterals/v/proof-diagonals-of-a-parallelogrambisect-each-other

This tutorial provides a proof that opposite angles of a
parallelogram are congruent:
https://www.khanacademy.org/math/geometry/quadrilateralsand-polygons/quadrilaterals/v/proof-opposite-angles-ofparallelogram-congruent
Curriculum and Instruction
Mathematics Pacing Resource Document
Geometry – Quadrilaterals and Polygons Strand
Standard:
G.QP.2: Prove that given quadrilaterals are parallelograms, rhombuses, rectangles, squares or trapezoids. Include coordinate
proofs of quadrilaterals in the coordinate plane.
I can:
 Prove that given quadrilaterals are parallelograms, rhombuses, rectangles, squares or trapezoids.
 Use a coordinate plane proof for quadrilaterals.
Lesson Plans/Print Activities:
Web-based Practice:
Quarter One
Standard Geometry - McDougal Littell Textbook

New Jersey Center for Teaching and Learning
- Geometry: Quadrilaterals Presentation

Khan Academy
- Geometry: Quadrilaterals

Virtual Nerd: Geometry
- Polygons
Special Parallelograms
 Sec. 1.6 Classify Polygons
 Sec. 1.7 Find Perimeter, Area and Circumference
Honors Geometry – Glencoe McGraw-Hill Textbook
 Content not covered in Quarter 1
Quarter Two
 Content not covered in Quarter2
Quarter Three
Standard Geometry - McDougal Littell Textbook
 Sec. 8.2- Use Properties of Parallelograms
p. 520 #38, 39, 40
Indianapolis Public Schools
Curriculum and Instruction
Mathematics Pacing Resource Document
 Sec. 8.3- Show that a Quadrilateral is a Parallelograms
p. 528 #31, 32
 Sec. 8.4- Properties of Rhombuses, Rectangles, and Squares
p. 539 # 54, 55, 56
 Sec. 8.5- Use Properties of Trapezoids and Kites
p. 548 #34, 35, 36,
Honors Geometry – Glencoe McGraw-Hill Textbook
 Sec. 6.2- Parallelograms
p. 406 #38, 39, 40
 Sec. 6.3-Tests for Parallelograms
p. 416 #37, 39, 40, 44
 Sec. 6.4- Rectangles
p. 424 #44, 45, 47
 Sec. 6.5-Rhombi and Squares
p. 433 # 43, 44, 45, 46, 48
 Sec. 6.6-Trapezoid and Kites
p. 443 #58, 59, 60, 61, 62, 65, 66, 67
Indianapolis Public Schools
Curriculum and Instruction
Mathematics Pacing Resource Document
Geometry – Quadrilaterals and Polygons Strand
Standard:
G.QP.3: Find measures of interior and exterior angles of polygons. Explain and justify the method used.
Key Vocabulary:
Interior Angle: on the inside of a polygon, formed by the sides of the polygon
Exterior Angle: formed at the side of a polygon and an extension of an adjacent side
Polygon: a closed, plane figure formed by line segments that meet only at their endpoints
I can:
 Find measures of interior angles of polygons.
 Find measures of exterior angles of polygons.
Lesson Plans/Print Activities:
Quarter Three
Web-based Practice:

This lesson allows students to work with interior and exterior
angles of triangles. Click on the link and scroll down for both
teacher and student resources. Teacher resources for this
standard begin on p. 63 of the teacher pdf file. Student resources
begin on p. 44 of the student pdf file:
https://www.engageny.org/resource/geometry-module-1

This provides a tutorial with good visuals regarding exterior angles:
http://www.mathsisfun.com/geometry/exterior-anglespolygons.html

This provides a tutorial with good visuals regarding interior angles:
http://www.mathsisfun.com/geometry/interior-anglespolygons.html

This provides a tutorial for finding interior angles:
http://www.virtualnerd.com/tutorials/?id=PreAlg_09_03_0001

This provides a tutorial for finding exterior angles:
Standard Geometry - McDougal Littell Textbook
 Sec. 8.1- Find Angle Measures in Polygon
p. 512 # 28,29, 32, 36
 Sec. 8.2- Use Properties of Parallelograms
p. 520 # 38, 39, 40, 41
Honors Geometry – Glencoe McGraw-Hill Textbook
 Sec. 6.1 - Angles of Polygons
p. 396 #47, 48, 49, 50
Quarter Four
 Not Covered in Quarter 4
Indianapolis Public Schools
Curriculum and Instruction
Mathematics Pacing Resource Document
http://www.virtualnerd.com/tutorials/?id=PreAlg_09_01_0005
Indianapolis Public Schools
Curriculum and Instruction
Mathematics Pacing Resource Document
Geometry – Quadrilaterals and Polygons Strand
Standard:
G.QP.4: Identify types of symmetry of polygons, including line, point, rotational, and self-congruencies.
Key Vocabulary:
I can:
 identify types of symmetry of polygons
 identify types of symmetry for lines and points
 identify rotational symmetry
 identify self-congruencies
Lesson Plans/Print Activities:
Quarter One
Standard Geometry - McDougal Littell Textbook
Web-based Practice:
http://www.uen.org/core/math/downloads/sec1_symmetries_of_regular_
polygons_tn.pdf
 Sec. 1.6 Classify Polygons
Honors Geometry – Glencoe McGraw-Hill Textbook
 Content not covered in Quarter 1
Quarter Three
Standard Geometry - McDougal Littell Textbook
 Not Covered in Quarter Three
Honors Geometry – Glencoe McGraw-Hill Textbook
Indianapolis Public Schools
Curriculum and Instruction
Mathematics Pacing Resource Document
 Sec. 9.5- Symmetry
p. 658 # 45-48
Quarter Four
Standard Geometry - McDougal Littell Textbook
 Sec. 9.4 – Perform Rotations
p. 604 # 29-32, 36
Honors Geometry – Glencoe McGraw-Hill Textbook
 Not Covered in Quarter Four
Indianapolis Public Schools
Curriculum and Instruction
Mathematics Pacing Resource Document
Geometry – Quadrilaterals and Polygons Strand
Standard:
G.QP.5: Deduce formulas relating lengths and sides, perimeters, and areas of regular polygons.
Understand how limiting cases of such formulas lead to expressions
for the circumference and the area of a circle.
Key Vocabulary:
I can:
 Relate the sides of polygons to perimeter and area of polygons.
 Limit cases of such formulas to expressions for the circumference and the area of a circle.
Lesson Plans/Print Activities:
Web-based Practice:
Quarter One
Standard Geometry - McDougal Littell Textbook

Khan Academy: Geometry: Perimeter, Area and Volume
- Perimeter and Area of non-standard shapes
- Volume and Surface Area

Virtual Nerd: Geometry:
- Length and Area
- Surface Area and Volume of Solids

New Jersey Center for Teaching and Learning
 Sec. 1.7 Find Perimeter, Area and Circumference
Honors Geometry – Glencoe McGraw-Hill Textbook
 Content not covered in Quarter 1
Quarter Three
Standard Geometry - McDougal Littell Textbook
 Sec. 10.1- Use Properties of Tangents
p. 657 #35-37
Honors Geometry – Glencoe McGraw-Hill Textbook
 Not Covered in Quarter Three
Indianapolis Public Schools
Curriculum and Instruction
Mathematics Pacing Resource Document
Quarter Four
Standard Geometry - McDougal Littell Textbook
 Sec. 11.1-Area of Triangles and Parallelograms
p. 725 # 36, 37, 38, 40, 41, 42
 Sec. 11.2- Areas of Trapezoids, Rhombuses, and Kites
p. 735 # 34,37,38
 Sec. 11.3- Perimeter and Area of Similar Figures
p. 742 # 26-29
 Sec. 11.4- Circumference and Arc Length
p. 751 # 34, 35, 36, 38, 39
Honors Geometry – Glencoe McGraw-Hill Textbook
 Sec. 11.1- Areas of Parallelograms and Triangles
p. 769 # 35, 36, 37, 38
 Sec. 11.2- Areas of Trapezoids, Rhombi, and Kites
p. 779 # 30-35
 Sec. 11.3- Areas of Circles and Sectors
p. 787 #43, 44,45
 Sec. 11.5- Areas of Similar Figures
p. 807 # 23-27
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
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
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

New Jersey Center for Teaching and Learning: Geometry
- Transformations Presentation

Khan Academy: Geometry
- Transformations: Dilations or scaling around a point

Virtual Nerd: Geometry
-Transformations: Dilations
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,
Quarter Three
Standard Geometry - McDougal Littell Textbook
 Sec. 6.4- Rectangles
p. 424 # 41, 43, 44, 45,
 Sec. 6.5- Rhombi and Squares
p. 433 # 43,,44,,45,47
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
Quarter Three
Standard Geometry - McDougal Littell Textbook
 Sec. 6.2-Use Proportions to Solve Geometry Problems
p. 368 # 22-30
 Sec. 6.4- Prove Triangles Similar by AA
p. 386 #31, 32, 34, 37, 38
 Sec. 6.5-Prove Triangles Similar by SSS and SAS
p. 393 #28, 29, 30, 33, 34
 Sec. 6.7-Perform Similarity Transformations
Indianapolis Public Schools
Curriculum and Instruction
Mathematics Pacing Resource Document
p. 414 #25, 26, 28, 29,
 P. 408 #1,2
 P. 416 # 1-7
Honors Geometry – Glencoe McGraw-Hill Textbook
 Sec. 7.1-Ratios and Proportions
p. 461 #39, 43, 45
 Sec. 7.3-Similar Triangles
p. 481 # 32,33, 34, 35,36
 Sec. 7.5-Parts of similar Triangles
p. 501 # 29, 30, 31,
 Sec. 7.6- Similarity Transformations
p. 510 # 21, 22,23,
 Sec. 8.1- Geometric Mean
p. 538 # 48,49, 50,
Quarter Four
Standard Geometry - McDougal Littell Textbook
Material Not Covered in Quarter Four
Honors Geometry – Glencoe McGraw-Hill Textbook
 Sec. 11.5 – Areas of Parallelograms and Triangles
p. 769 # 36, 37, 38
Indianapolis Public Schools
Curriculum and Instruction
Mathematics Pacing Resource Document
Geometry – Triangle Strand
Standard:
G.T.5: Use properties of congruent and similar triangles to solve real-world and mathematical problems involving sides,
perimeters, and areas of triangles.
I can:
 Solve real-world problems using properties of congruent and similar triangles.
Lesson Plans/Print Activities:
Web-based Practice:
 Learn Zillion
Quarter One
Standard Geometry - McDougal Littell Textbook
https://learnzillion.com/lessonsets/452-find-the-area-volume-andsurface-area-of-two-and-three-dimensional-objects
 Material not covered in Quarter One
Honors Geometry – Glencoe McGraw-Hill Textbook
 Sec. 4.3 Congruent Triangles
p. 259 #15, 31
Quarter Two
Material not covered in Quarter Two
Quarter Three
Standard Geometry - McDougal Littell Textbook
 Sec. 6.3- Use Similar Polygons
p. 378 #31, 32, 33, 34
 Sec. 6.4-Prove Triangles Similar by AA
p. 386 #31, 32,34,38
 Sec. 6.5- Prove Triangles Similar by SSS and SAS
p. 393 #28-34
Indianapolis Public Schools
Curriculum and Instruction
Mathematics Pacing Resource Document
 Sec. 6.6- Use Proportionality Theorems
p. 402 # 21, 24,28,
 Sec. 6.7 – Perform Similarity Transformations
p. 414 # 25-27, 29
 p. 416 # 1-7
Honors Geometry – Glencoe McGraw-Hill Textbook
 Sec. 7.2- Similar Polygons
p. 472 # 47, 48, 50,
 Sec. 7.3- Similar Triangles
p. 480 # 22,23,29, 31, 32, 33,34,35,
 Sec. 7.4-Parallel Lines and Proportional Parts
p. 492 # 43, 47, 48, 49
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

Material Not Covered

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
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
Quarter Three
Standard Geometry - McDougal Littell Textbook
Honors Geometry- Glencoe McGraw-Hill Textbook
 Sec. 8.1- Geometric Mean
p. 537 # 32 -42, 44-48
Indianapolis Public Schools
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

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
Quarter Three
Standard Geometry - McDougal Littell Textbook
 Sec. 7.3 – Use Similar Right Triangles
p. 455 #29, 30,
 Sec. 7.5- Applying the Tangent Ratio
p. 471 # 31,32,33,34,36,37
 Sec. 7.6- Apply the Sine and Cosine Ratio
p. 479 # 33-36
 P. 492 #1-7
Indianapolis Public Schools
Curriculum and Instruction
Mathematics Pacing Resource Document
Honors Geometry – Glencoe McGraw-Hill Textbook
 Sec. 8.4-Trigonometry
p. 569 #56, 61, 62, 63
 Sec. 8.5- Angles of Elevation
p. 578 # 13-21, 24
Indianapolis Public Schools
Curriculum and Instruction
Mathematics Pacing Resource Document
Geometry – Three-Dimensional Solids Strand
Standard:
G.TS.8: Determine the distance of a point to the origin on the three-dimensional coordinate plane using the distance formula.
I can:
 Determine the distance of a point to the origin on the 3-D plane using the distance formula.
Lesson Plans/Print Activities:
Web-based Practice:
Quarter Three
Honors Geometry – Glencoe McGraw-Hill Textbook
 P. 550 #1-12
Quarter Four
Standard Geometry - McDougal Littell Textbook
 Sec. 9.5- Symmetry
p. 658 #31-34, 42-45
Indianapolis Public Schools

This interactive site provides an opportunity for students to use the
distance formula with 3-D coordinates:
https://www.easycalculation.com/analytical/learn-distance3.php

This provides a visualization tool for distance and objects in three
dimensions:
http://quiz.uprm.edu/visual3d/manual/coor_sys/dist_two_points.
html
Curriculum and Instruction
Mathematics Pacing Resource Document
Geometry – Triangle Strand
Standard:
G.T.11: Use special right triangles (30° - 60° and 45° - 45°) to solve real-world and mathematical problems.
Key Vocabulary:
Special Right Triangle (30-60-90): the hypotenuse is twice as long as the shorter leg and the longer leg is radical 3 times as long as the shorter leg
Special Right Triangle (45-45-90): the hypotenuse is radical 2 times as long as each leg
I can:


Use special right triangles to solve real-world problems.
Use special right triangles to solve mathematical problems.
Lesson Plans/Print Activities:
Web-based Practice:
Quarter Three

Standard Geometry - McDougal Littell Textbook
 Sec. 7.4 – Special Right Triangles
p. 463 #27, 28, 30,31,33,34
This tutorial provides an explanation for situations involving special
right triangles:
https://www.khanacademy.org/math/geometry/right_triangles_to
pic/special_right_triangles/e/pythagorean_theorem_2

This provides short videos pertaining to applications with special
right triangles:
http://www.virtualnerd.com/geometry/right-trianglestrigonometry/special

This packet includes application handouts and activities for
students involving special right triangles:
https://www.nsa.gov/academia/_files/collected_learning/high_sch
ool/internet/using_right_triangles.pdf
Honors Geometry – Glencoe McGraw-Hill Textbook
 Sec. 8.3 – Special Right Triangles
p. 558 # 41-43, 46, 48, 49
Indianapolis Public Schools
Curriculum and Instruction
Mathematics Pacing Resource Document
Geometry – Transformations Strand
Standard:
G.TR.1: Use geometric descriptions of rigid motions to transform figures and to predict and describe the results of
translations, reflections and rotations on a given figure. Describe a motion or series of motions that will show two shapes are
congruent.
Key Vocabulary:
Transformation: an operation that creates an image from an original figure or preimage
Rigid Motion: a transformation that creates an image that is congruent to the original figure
I can:



Use geometric descriptions of rigid motions to transform figures.
Use geometric descriptions of rigid motions to predict and describe the results of translations, reflections, and rotations.
Describe a motion or series of motions that will show two shapes are congruent.
Lesson Plans/Print Activities:
Quarter Three
Web-based Practice:

This link provides lessons pertaining to applications of rigid
motions. Click the link and scroll down for both teacher and
student resources. Teacher resources for this standard begin on
page 149 of the teacher pdf file and student resources begin on p.
106 of the student pdf file:
https://www.engageny.org/resource/geometry-module-1

This provides several short videos pertaining to various portions of
this standard:
http://www.virtualnerd.com/geometry/transformations
Standard Geometry - McDougal Littell Textbook
 Sec. 6.7- Perform Similarity Transformations
p. 414 # 25-27, 29
Honors Geometry – Glencoe McGraw-Hill Textbook
 Sec. 9.1- Reflections
p. 620 #16,17,35,44,45,
 Sec. 9.2- Translations
p. 628 # 21,22,25,29
 P. 631 #1-4
Indianapolis Public Schools
This tutorial explains rigid motion transformations:
https://www.khanacademy.org/math/geometry/transformations/e
xploring-rigid-transformations/v/translations-of-polygons
(Scroll down for additional resources:)
Curriculum and Instruction
Mathematics Pacing Resource Document
Quarter Four
Standard Geometry - McDougal Littell Textbook
 Sec. 9.1- Translate Figures and Use Vectors
p. 578 # 33, 34
 P. 588 # 1-5
This lengthy slide presentation explores individual portions of this
standard (complete with visuals):
https://www.math.ku.edu/~jmartin/courses/math105F11/Lectures/chapter11-part3.pdf
 Sec. 9.3- Perform Reflections
p. 595 # 31-34
 P. 597 #1-8
 Sec. 9.4 – Perform Rotation
p. 604 # 29-32
Honors Geometry – Glencoe McGraw-Hill Textbook
Not Covered in Quarter FOur
Indianapolis Public Schools
Curriculum and Instruction
Mathematics Pacing Resource Document
Geometry – Transformations Strand
Standard:
G.TR.2: Understand a dilation takes a line not passing through the center of the dilation to a parallel line, and leaves a line
passing through the center unchanged. Verify experimentally the properties of dilations given by a center and a scale factor.
Understand the dilation of a line segment is longer or shorter in the ratio given by the scale factor.
Key Vocabulary:
Dilation: a transformation in which a similar image is formed by enlarging or reducing its preimage
Scale Factor: the ratio of the length of a segment in the preimage to the length of the corresponding segment in the image
I can:



Understand the purpose and path of a dilation.
Verify the properties of dilations.
Understand the relationship between dilations and scale factors.
Lesson Plans/Print Activities:
Web-based Practice:

This link provides lessons pertaining to applications of rigid
motions. Click the link and scroll down for both teacher and
student resources. Teacher resources for this standard begin on
page 72 of the teacher pdf file and student resources begin on p.
31 of the student pdf file:
https://www.engageny.org/resource/geometry-module-2

This tutorial explains dilations or scaling around a point:
https://www.khanacademy.org/math/geometry/transformations/d
ilations-scaling/e/dilations
Quarter Three
Standard Geometry - McDougal Littell Textbook
 Sec. 6.7- Perform Similarity Transformations
p. 414 # 25, 26, 27, 29, 31
Honors Geometry – Glencoe McGraw-Hill Textbook
 Sec. 7.6- Similarity Transformation
Quarter Four
Standard Geometry - McDougal Littell Textbook
 Sec. 9.7- Identify and Perform Dilations
Indianapolis Public Schools
This tutorial explains how to use scale factors with dilations:
http://www.virtualnerd.com/geometry/transformations/dilations/
dilation-larger-example
Curriculum and Instruction
Mathematics Pacing Resource Document
p. 631 # 33- 40
Honors Geometry – Glencoe McGraw-Hill Textbook
Indianapolis Public Schools
Curriculum and Instruction
Mathematics Pacing Resource Document
Geometry – Three-Dimensional Solids Strand
Standard:
G.TS.7: Graph points on a three-dimensional coordinate plane. Explain how the coordinates relate the point as the distance
from the origin on each of the three axes.
Key Vocabulary:
Graphing points in three dimensions: a system of locating a point in space by its distance from the origin along 3 mutually perpendicular lines (x,
y, and z axes)
I can:
 Graph points on a three-dimensional coordinate plane.
 Explain how the coordinates of a point on a 3-D plane relate the point as the distance from the origin on all 3 axes.
Lesson Plans/Print Activities:
Web-based Practice:

A template for 3-Dimensional graph paper appears here:
http://web.njcu.edu/sites/faculty/scaravella/Uploads/3d_graph_p
aper_2.pdf

This interactive link provides good visuals and explanations of 3-D
coordinate planes:
http://www.intmath.com/vectors/6-3-dimensional-space.php

This interactive link allows students to plot points on a 3-D plane:
http://hotmath.com/learning_activities/interactivities/3dplotter.s
wf
Quarter Three
Honors Geometry – Glencoe McGraw-Hill Textbook
 P. 550 #1-12
Quarter Four
Standard Geometry - McDougal Littell Textbook
 Sec. 9.5- Symmetry
p. 658 #42,43, 44,45
Indianapolis Public Schools
Curriculum and Instruction