Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Analytic geometry wikipedia , lookup
Rational trigonometry wikipedia , lookup
Cartan connection wikipedia , lookup
Algebraic geometry wikipedia , lookup
History of trigonometry wikipedia , lookup
Integer triangle wikipedia , lookup
Pythagorean theorem wikipedia , lookup
Geometrization conjecture wikipedia , lookup
Line (geometry) wikipedia , lookup
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