GEOMETRY A



GEOMETRY A

Chapter 1  Tools of Geometry                                                           13 days

1-1 Points, LInes & Planes   p8 Ex 13-49 odd, 52-55, 59

1-2 Linear Measure p18 Ex 11-31 odd, 37, 40, 42-45, 57, 60, 61

QUIZ

1-3 (2 days) Distance & Midpoint  p31 Ex 15-54 multiples of 3, 73-76

QUIZ

1-4 Angle Measure p41 Ex 12-33 multiples of 3, 37, 39, 45, 51, 54-58 all, 64

1-5 Angle Relationships p51 Ex 9-54 multiples of 3, skip 33, 49, 53-56, 62

QUIZ

1-6 (2 days) Polygons day 1, Area and Perimeter day 2  Create worksheets for each

QUIZ

1-7 (2 days) 3-d Polyhedra and nets day 1, Surface Area and Volume day 2  Create worksheets for each - geogebra?

QUIZ

2 days chapter review / 1 day test

Chapter 2 Reasoning and Proof                                                           6 days

Truth in Advertising Project - resources on Moodle

Students will learn what a conditional statement is, the various forms of a conditional statement, and how to analyze it’s truth value.  They will also learn the Laws of Syllogism and Detachment and the basics of writing a 2 column proof.  As they master these objectives they will create an advertisement for the product of their choice and develop an ad campaign to market it.  Their final product will follow the rubric on Moodle and be presented to their classmates on the last day of the project.

Chapter 3 Parallel and Perpendicular Lines                                        10 days

Day 1:  3-1 Students will watch 3-1 video and complete a 3-1 concept organizer

Classwork for Parallel Lines and Transversals is p176 ex 14-34 even, 37, 44, 51-55

Homework is to watch the 3-2 video and answer thefollowing questions.

Focus Questions:

1)  Given a pair of parallel lines and a transversal,

                                         a) what angle pairs are congruent?  

       b) Which angle pairs are supplementary?

2) Give an example from a video, showing each step and the reasoning behind it, of how to use algebra to find angle measures.

Day 2:    3-2 Class work for Angles and Parallel Lines is p183 Ex 12-22 even, 25, 27, 38, 39, 42,

                                                                                                           47-50

      Homework is to review class work, memorize definitions and facts from notes, and do Khan Academy bonus activities to prepare for a quiz on 3-1 and 3-2

Day 3:  QUIZ  3-1 & 3-2 and watch 3-3 & 3-4 videos on Slopes and Equations of Lines, completing the concept organizer

Day 4: Students will use the information in their notes to do the 3-3 / 3-4 worksheets

           Homework: complete worksheets

Day 5:  3-4 Geometry Lab: “Equations of Perpendicular Bisectors”  

     Direct instruction on how to find the equation of a perpendicular bisector of a line segment given 2 points supported by a video with example found on the moodle

      After the instruction students will complete the Lab sheet finding 7 perpendicular bisectors.

Homework is to review class work, memorize definitions and facts from notes, and do Khan Academy bonus activities to prepare for a quiz on 3-3 and 3-4.

Day 6:  QUIZ 3-3 & 3-4 After quiz students will watch the 3-6 video on Moodle and answer the focus questions in their notebooks.  (we are skipping 3-5)

Focus Questions:

1) How do you find the shortest distance between a point and a line?  Give an example problem with each step clearly labeled like in the video.

2) How do you find the shortest distance between 2 parallel lines? Give an example problem with each step clearly labeled.

Day 7: Need Video: 3-6 Perpendiculars and Distance

3-6 Class work: p220 Ex 9 (drawing ok), 13-15 all, 17, 21, 28, 35, 38 (use graph paper!), 41, 46,

                                        48-51

Homework is the Chapter 3 Free Response Test Practice

Day 8: Work on chapter review in class, when complete check online

Day 9: Correct Review & online practice

Day 10: Chapter 3 test & 4.1 OL worksheet on classifying triangles

Chapter 4 Congruent Triangles                                                               8 days

4-2 Angles of Triangles - Warm up: p245 activity  Lesson  p250 Ex 13, 15, 16,17-29 odd, 30,

                                                                                                                     33, 36, 38, 50, 52-55

4-3 Congruent Triangles - Defn of congruent triangles & 3rd Angles Thm.  

                                                                    p259 Ex 9-19 odd, 22, 32, 36, 37, 44-47 Show work!

QUIZ

4-4 / 4-5 Proving Triangles Congruent (all theorems) -

                                                                         worksheet from activity book available on Moodle

4-6 Isosceles and Equilateral Triangles p289 Ex 9-25 odd, 29, 31, 38, 41, 46, 48, 52-55 all

QUIZ

4-7 Congruence Transformations - website: Name that Transformation”  Kala has resources

skip 4-8

2 days chapter review / 1 day test - watch 5-1 video with notes

Chapter 5 Relationships in Triangles                                                       9 days

5-1 2 days Bisectors of Triangles  Hands on Lab on day 1,  Work on content day 2

           p329 Ex 9-31 odd, 41, 48, 55-58, 60

     

5-2 2 days Medians and Altitudes of Triangles Lab on day 1, Work on content day 2

p340 ex 6-10 even, 13, 15-17 all, 20, 25, 27, 28, 37, 44-47 , 51

QUIZ

5-3 Inequalities in One Triangle with slide triangle visual

          p348 Ex 9-21 multiples of 3, 23, 24-39 multiples of 3, 46, 49-52, 55

skip 5-4 indirect proof

5-5 Triangle Inequality Theorem  formalized with geometers sketchpad activity?

p366 Ex 7-17 odd, 20-22, 32, 33, 44, 49-52

2 days chapter review / 1 day test

Chapter 6 & 7 Quadrilaterals, Proportions, Similarity                            7 days

Design project including quadrilaterals & their properties as well as a scale model of the design

9 days including presentations

3 Days exam review / 1 day exam 4 days

                                                              total                                                 52 days

GEOMETRY B 12 days

Chapter 8 Right Triangles and Trigonometry

8-1 Geometric Mean

8-2 Pythagorean Theorem and it’s Converse

QUIZ

8-3 Special Right Triangles (2 days includes an intro to trigonometry)

8-4 Trigonometry - using soh cah toa

8-5 Angles of Elevation and Depression

QUIZ

8-6 Law of Sines and Law of Cosines (2 days)

8-7 Vectors

2 days review / 1 day test

Chapter 9 Transformations and Symmetry 8 days

9-1 thru 9-3 Reflections, Rotations, Translations      2 day geogebra activity

9-4 Compositions of Transformations

QUIZ

9-5 Symmetry with tissue paper fold lines

9-6 Dilations

2 days review / 1 day test

Chapter 10 Circles 12 days

10-1 Circles & Circumference

10-2 Measuring Angles and Arcs

10-3 Arcs and Chords

1 day in class activity: finding arcs, angles & chords

QUIZ

10-4 Inscribed Angles

10-5 Tangents

10-6 Secants, Tangents, and Angle Measures

QUIZ

10-7 Special Segments in a Circle

10-8 Equations of Circles

2 days review / 1 day test

Chapter 11 & Chapter 12 9 days

Project:  Areas of Polygons, Circles, Surface Area and Volume

Chapter 13 10 days

13-1 Representing Sample Spaces

13-2 Probability with Permutations and Combinations

13-3 Geometric Probability

QUIZ

13-4 Simulations (activity 1)

13-5 Probabilities of Independent and Dependent Events

13-6 Probabilities of Mutually Exclusive Events

QUIZ

3 days review

Final Exam                                                                                                              51 days

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