mathematics pacing resource document - indianapolis … · 2014-11-24 · mathematics pacing...

Mathematics Pacing Resource Document

Indianapolis Public Schools Curriculum and Instruction

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 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

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/g- srt_worksheet_8.pdf

http://www.shmoop.com/common-core-standards/handouts/g-

srt_worksheet_8_ans.pdf (Answer Key)

http://www.regentsprep.org/regents/math/algebra/at2/ltrig.htm

http://www.shmoop.com/video/act-math-43-trigonometry

http://www.shmoop.com/common-core-standards/handouts/g-%20%20%20srt_worksheet_8.pdf

http://www.shmoop.com/common-core-standards/handouts/g-%20%20%20srt_worksheet_8.pdf

http://www.shmoop.com/common-core-standards/handouts/g-srt_worksheet_8_ans.pdf

http://www.shmoop.com/common-core-standards/handouts/g-srt_worksheet_8_ans.pdf



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



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.


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

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:S7yKdn63SvsJ:https://www.engageny.org/file/58436/download/geometry-m1-topic-e-lesson-28-student.pdf%3Ftoken%3DzVkiBV7Hj8f5l0w1zKQq7py_WtMvZiZp5qu__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:HpPaXCLYm5gJ:https://www.engageny.org/file/58451/download/geometry-m1-topic-e-lesson-28-teacher.pdf%3Ftoken%3DVeuMtiuggE_vHXAS_BQNf77XeYOR7Vsv

http://webcache.googleusercontent.com/search?q=cache:S7yKdn63SvsJ:https://www.engageny.org/file/58436/download/geometry-m1-topic-e-lesson-28-student.pdf%3Ftoken%3DzVkiBV7Hj8f5l0w1zKQq7py_WtMvZiZp5qu__SwS3aU+engageny+proof+parallelogram&cd=1&hl=en&ct=clnk&gl=us&client=firefox-a






http://webcache.googleusercontent.com/search?q=cache:HpPaXCLYm5gJ:https://www.engageny.org/file/58451/download/geometry-m1-topic-e-lesson-28-teacher.pdf%3Ftoken%3DVeuMtiuggE_vHXAS_BQNf77XeYOR7Vsv1yiA3ccTItA+engageny+proof+parallelogram&cd=2&hl=en&ct=clnk&gl=us&client=firefox-a






1yiA3ccTItA+engageny+proof+parallelogram&cd=2&hl=en&ct=clnk&gl=us&client=firefox-a

This tutorial provides a proof that opposite sides of a parallelogram are congruent: https://www.khanacademy.org/math/geometry/quadrilaterals-and-polygons/quadrilaterals/v/proof-opposite-sides-of-parallelogram-congruent

This tutorial provides a proof that diagonals of a parallelogram bisect each other: https://www.khanacademy.org/math/geometry/quadrilaterals-and-polygons/quadrilaterals/v/proof-diagonals-of-a-parallelogram-bisect-each-other

This tutorial provides a proof that opposite angles of a parallelogram are congruent: https://www.khanacademy.org/math/geometry/quadrilaterals-and-polygons/quadrilaterals/v/proof-opposite-angles-of-parallelogram-congruent



https://www.khanacademy.org/math/geometry/quadrilaterals-and-polygons/quadrilaterals/v/proof-opposite-sides-of-parallelogram-congruent



https://www.khanacademy.org/math/geometry/quadrilaterals-and-polygons/quadrilaterals/v/proof-diagonals-of-a-parallelogram-bisect-each-other



https://www.khanacademy.org/math/geometry/quadrilaterals-and-polygons/quadrilaterals/v/proof-opposite-angles-of-parallelogram-congruent






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.


Quarter One


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

Web-based Practice:

New Jersey Center for Teaching and Learning - Geometry: Quadrilaterals Presentation

Khan Academy - Geometry: Quadrilaterals

Virtual Nerd: Geometry - Polygons Special Parallelograms



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




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.



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

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-angles-polygons.html

This provides a tutorial with good visuals regarding interior angles: http://www.mathsisfun.com/geometry/interior-angles-polygons.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:

https://www.engageny.org/resource/geometry-module-1

http://www.mathsisfun.com/geometry/exterior-angles-polygons.html

http://www.mathsisfun.com/geometry/exterior-angles-polygons.html

http://www.mathsisfun.com/geometry/interior-angles-polygons.html

http://www.mathsisfun.com/geometry/interior-angles-polygons.html

http://www.virtualnerd.com/tutorials/?id=PreAlg_09_03_0001




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


Quarter One Standard Geometry - McDougal Littell Textbook

Sec. 1.6 Classify Polygons

Honors Geometry – Glencoe McGraw-Hill Textbook Content not covered in Quarter 1


Not Covered in Quarter Three


Web-based Practice: http://www.uen.org/core/math/downloads/sec1_symmetries_of_regular_polygons_tn.pdf



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




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.



Sec. 1.7 Find Perimeter, Area and Circumference Honors Geometry – Glencoe McGraw-Hill Textbook

Content not covered in Quarter 1


Sec. 10.1- Use Properties of Tangents p. 657 #35-37

Honors Geometry – Glencoe McGraw-Hill Textbook Not Covered in Quarter Three

Web-based Practice:

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. 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




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.


Quarter One

Standard Geometry - McDougal Littell Textbook Material not covered in Quarter 1


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

Web-based Practice:

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&subpage=concept

http://feromax.com/cgi-bin/ProveIt.pl

http://map.mathshell.org/materials/lessons.php?taskid=419&subpage=concept

http://map.mathshell.org/materials/lessons.php?taskid=419&subpage=concept




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 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

This link includes several tutorials pertaining to proofs of triangles. Select the appropriate topic: https://www.khanacademy.org/search?page_search_query=triangles+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

https://www.khanacademy.org/search?page_search_query=triangles+proof

https://www.khanacademy.org/search?page_search_query=triangles+proof




p. 289 # 26, 27, 44 Sec. 7.3-Similar Triangles

p. 481 29, 32, 35


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


Sec. 8.2- The Pythagorean Theorem and Its Converse p. 548 #44-49, 51




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.



Material not covered in Quarter 1 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

Web-based Practice:

This activity demonstrates properties of triangle congruence: http://www.mathopenref.com/congruenttriangles.html

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/geometry-m1-topic-c-lesson-19-student.pdf%3Ftoken%3DrVcXBSShRCGJM4CWZSOK2JgoHwUG2JfjGu70Gn405QM+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

http://www.mathopenref.com/congruenttriangles.html

http://webcache.googleusercontent.com/search?q=cache:08QL3r_jP2cJ:https://www.engageny.org/file/57566/download/geometry-m1-topic-c-lesson-19-student.pdf%3Ftoken%3DrVcXBSShRCGJM4CWZSOK2JgoHwUG2JfjGu70Gn405QM+definiton+of+rigid+motions+engageny&cd=1&hl=en&ct=clnk&gl=us&client=firefox-a








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. 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,


Sec. 6.4- Rectangles p. 424 # 41, 43, 44, 45,

Sec. 6.5- Rhombi and Squares p. 433 # 43,,44,,45,47




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.


Quarter One Material not Covered in Quarter One

Quarter Two Standard Geometry - McDougal Littell Textbook Honors Geometry – Glencoe McGraw-Hill Textbook

Sec. 7.6 – Similarity Transformation p. 510 # 20, 22,23


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

Web-based Practice:

http://www.ck12.org/book/CK-12-Geometry-Honors-Concepts/section/6.3/

https://learnzillion.com/lessons/2361-show-triangle-similarity-using-translation

https://www.illustrativemathematics.org/illustrations/1422

https://learni.st/boards/1711/learnings/15498-similar-triangles-using-angle-angle-criterion





https://www.illustrativemathematics.org/illustrations/1422





p. 414 #25, 26, 28, 29, P. 408 #1,2 P. 416 # 1-7


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




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.



Material not covered in Quarter One


Sec. 4.3 Congruent Triangles p. 259 #15, 31

Quarter Two Material not covered in Quarter Two


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

Web-based Practice:

Learn Zillion

https://learnzillion.com/lessonsets/452-find-the-area-volume-and-surface-area-of-two-and-three-dimensional-objects





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


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




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.


Quarter One Material Not Covered

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

Web-based Practice:

Learn Zillion

http://www.algebra.com/algebra/homework/word/geometry/Altitude-drawn-to-the-hypotenuse-in-a-right-triangle.lesson

http://jwilson.coe.uga.edu/emt668/emat6680.folders/brooks/6690stuff/righttriangle/rightday3.html

http://www.mathwarehouse.com/geometry/similar/triangles/geometric-mean.php

http://www.regentsprep.org/Regents/math/geometry/GP12/LMeanP.htm









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.


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


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

Web-based Practice:

Learn Zillion

http://www.montereyinstitute.org/courses/DevelopmentalMath/COURSE_TEXT2_RESOURCE/U19_L1_T1_text_final.html

http://www.themathpage.com/atrig/definitions-trigonometric.htm

http://www.purplemath.com/modules/basirati.htm

http://www.purplemath.com/modules/basirati.htm



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



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.


Quarter Three Honors Geometry – Glencoe McGraw-Hill Textbook

P. 550 #1-12


Sec. 9.5- Symmetry p. 658 #31-34, 42-45

Web-based Practice:

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

https://www.easycalculation.com/analytical/learn-distance3.php

http://quiz.uprm.edu/visual3d/manual/coor_sys/dist_two_points.html

http://quiz.uprm.edu/visual3d/manual/coor_sys/dist_two_points.html




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.



Sec. 7.4 – Special Right Triangles p. 463 #27, 28, 30,31,33,34

Honors Geometry – Glencoe McGraw-Hill Textbook Sec. 8.3 – Special Right Triangles

p. 558 # 41-43, 46, 48, 49

Web-based Practice:

This tutorial provides an explanation for situations involving special right triangles: https://www.khanacademy.org/math/geometry/right_triangles_topic/special_right_triangles/e/pythagorean_theorem_2

This provides short videos pertaining to applications with special right triangles: http://www.virtualnerd.com/geometry/right-triangles-trigonometry/special

This packet includes application handouts and activities for students involving special right triangles: https://www.nsa.gov/academia/_files/collected_learning/high_school/internet/using_right_triangles.pdf

https://www.khanacademy.org/math/geometry/right_triangles_topic/special_right_triangles/e/pythagorean_theorem_2

https://www.khanacademy.org/math/geometry/right_triangles_topic/special_right_triangles/e/pythagorean_theorem_2

http://www.virtualnerd.com/geometry/right-triangles-trigonometry/special

http://www.virtualnerd.com/geometry/right-triangles-trigonometry/special

https://www.nsa.gov/academia/_files/collected_learning/high_school/internet/using_right_triangles.pdf

https://www.nsa.gov/academia/_files/collected_learning/high_school/internet/using_right_triangles.pdf



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.



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

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 This tutorial explains rigid motion transformations: https://www.khanacademy.org/math/geometry/transformations/exploring-rigid-transformations/v/translations-of-polygons

(Scroll down for additional resources:)


http://www.virtualnerd.com/geometry/transformations

https://www.khanacademy.org/math/geometry/transformations/exploring-rigid-transformations/v/translations-of-polygons

https://www.khanacademy.org/math/geometry/transformations/exploring-rigid-transformations/v/translations-of-polygons




Sec. 9.1- Translate Figures and Use Vectors p. 578 # 33, 34

P. 588 # 1-5

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

This lengthy slide presentation explores individual portions of this standard (complete with visuals): https://www.math.ku.edu/~jmartin/courses/math105-F11/Lectures/chapter11-part3.pdf

https://www.math.ku.edu/~jmartin/courses/math105-F11/Lectures/chapter11-part3.pdf

https://www.math.ku.edu/~jmartin/courses/math105-F11/Lectures/chapter11-part3.pdf



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.



Sec. 6.7- Perform Similarity Transformations p. 414 # 25, 26, 27, 29, 31

Honors Geometry – Glencoe McGraw-Hill Textbook Sec. 7.6- Similarity Transformation


Sec. 9.7- Identify and Perform Dilations

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/dilations-scaling/e/dilations This tutorial explains how to use scale factors with dilations: http://www.virtualnerd.com/geometry/transformations/dilations/dilation-larger-example


https://www.khanacademy.org/math/geometry/transformations/dilations-scaling/e/dilations

https://www.khanacademy.org/math/geometry/transformations/dilations-scaling/e/dilations

http://www.virtualnerd.com/geometry/transformations/dilations/dilation-larger-example

http://www.virtualnerd.com/geometry/transformations/dilations/dilation-larger-example



p. 631 # 33- 40




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.


Quarter Three Honors Geometry – Glencoe McGraw-Hill Textbook

P. 550 #1-12


Sec. 9.5- Symmetry p. 658 #42,43, 44,45

Web-based Practice:

A template for 3-Dimensional graph paper appears here: http://web.njcu.edu/sites/faculty/scaravella/Uploads/3d_graph_paper_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.swf

http://web.njcu.edu/sites/faculty/scaravella/Uploads/3d_graph_paper_2.pdf

http://web.njcu.edu/sites/faculty/scaravella/Uploads/3d_graph_paper_2.pdf

http://www.intmath.com/vectors/6-3-dimensional-space.php

http://hotmath.com/learning_activities/interactivities/3dplotter.swf

http://hotmath.com/learning_activities/interactivities/3dplotter.swf

mathematics pacing resource document - indianapolis … · 2014-11-24 · mathematics pacing...

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