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Pre-AP Geometry and Algebra I
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To contact me: 903-295-5081
Tutorials: Every morning 7:30-7:58 and Tuesday and Thursday 3:30-4:00
My conference time: 2:00-3:25 pm
Pre-AP Geometry 2007
CHECK CALENDAR FOR IMPORTANT DATES
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Algebra I |
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First Day Activities:
Introduction to class
Calculator agreements
Integer and fraction review
Week 1: Lesson Plans John Crain (JC)
Algebra I Agile Mind (AM)
September 4-7 McDougal-Little (ML)
Cady-Stevens, Grandgeorge, Scholl, Weidmer, Wilson
Date A/B Objective Plan Reference
Monday
Labor Day No School
9/3/2007
Tuesday Students will understand classroom policies 1. Student/Parent Info Sheets a.1, a.2, a.5, a.6
Students will review basic number concepts 2. Discuss Classroom Policies 8.1A, 8.2B, A.4B
9/4/2007 A 3. Review in textbook number basics ML 1.1-2, 2.1-4
4. HW Review over number basics AM 1
p57 #1-9; 125 #5-22 JC1-1
Wednesday Students will understand classroom policies 1. Student/Parent Info Sheets a.1, a.2, a.5, a.6
Students will review basic number concepts 2. Discuss Classroom Policies 8.1A, 8.2B, A.4B
9/5/2007 B 3. Review in textbook number basics ML 1.1-2, 2.1-4
4. HW Review over number basics AM 1
p57 #1-9; 125 #5-22 JC1-1
Thursday Students will demonstrate mastery of basic 1. Check and Review HW a.1, a.2, a.5, a.6
number concepts 2. Test over Number Basics 8.1A, 8.2B, A.4B
9/6/2007 A 3. Number Sequences ML 1.1-2, 2.1-4
AM 1
JC1-1
Friday Students will demonstrate mastery of basic 1. Check and Review HW a.1, a.2, a.5, a.6
number concepts 2. Test over Number Basics 8.1A, 8.2B, A.4B
9/7/2007 B 3. Number Sequences ML 1.1-2, 2.1-4
AM 1
JC1-1
Week 2:
Using patterns to develop formulas to describe the patterns
Lesson Plans John Crain (JC)
Algebra I Agile Mind (AM)
September 10-14 McDougal-Little (ML)
Cady-Stevens, Grandgeorge, Scholl, Weidmer
Date A/B Objective Plan Reference
Monday Students will understand their errors on the 1. Go over test a.1, a.2, a.5, a.6
test and be able to correctly work basic 2. AM 1 Integer Models, Frac/Dec, Order 8.1A, 8.2B, A.4B
9/10/2007 A number concepts of op ML 1.1-2, 2.1-4
3. Make corrections to test AM 1
4. Go over Number Sequences Activity JC1-2
Tuesday Students will understand their errors on the 1. Go over test a.1, a.2, a.5, a.6
test and be able to correctly work basic 2. AM 1 Integer Models, Frac/Dec, Order 8.1A, 8.2B, A.4B
9/11/2007 B number concepts of op ML 1.1-2, 2.1-4
3. Make corrections to test AM 1
4. Go over Number Sequences Activity JC1-2
Wednesday Students will be able to represent visual 1. Guided: Building Chimneys A.1C, A.1D, A.3A
and concrete patterns in a table, on a graph, 2. Group: Constructing Trucks A.3B
9/12/2007 A and with an expression, and be able to make 3. Group: Painting Faces AM 5
predictions 4. Discuss Group Activities ML activity 1.3
5. HW: Generating Patterns JC1-3
Thursday Students will be able to represent visual 1. Guided: Building Chimneys A.1C, A.1D, A.3A
and concrete patterns in a table, on a graph, 2. Group: Constructing Trucks A.3B
9/13/2007 B and with an expression, and be able to make 3. Group: Painting Faces AM 5
predictions 4. Discuss Group Activities--AM 5 Expl. ML activity 1.3
5. HW: Generating Patterns JC1-3
Friday Students will explore other types of patterns 1. Go over HW A.1C, A.1D, A.3A
and be able to represent the pattern in 2. Group: Perimeter of Rectangles, Chomp A.3B
9/14/2007 A multiple ways. the Brownies, Building Blocks AM 6
3. Dicuss Group Activties ML activity 1.3
4. HW: Leaning Tower of Cups JC1-3
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Pre_AP Geometry 2007 |
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Sept 4-25, 2007
Lesson Plans Pre-AP Geometry
Susan Wilson Room 206
Sept 4-5, 2007(one block day)
1) Beginning of school: policies, information sheets, etc.
2) Inductive and Deductive reasoning: Use patterns to develop and represent geometric and numerical concepts, in a table, a graph, and written statements—including finding the variable expressions for the patterns: Look at real life pattern: Sea Fan growth. Brief introduction to fractal
3) Issue books
4) Use patterns to develop and represent geometric and numerical concepts, in a table, a graph, and written statements—including finding the variable expressions for the patterns
5) Vocabulary list assigned-quiz grade.
6) Project assigned: Mathematician report and poster.-test grade.
7) Assignment #1 : Pattern worksheet: must write description as well as complete pattern and What’s my Rule: finding the nth term.
TEKS: G.3B, G.4, G.5A, spiraling A.1C, A1D,A3A, A3B, 8.7A 8.14C, 8.15C
Sept 6-7, 2007(one block day)
1) Notes over Logic:
2) Conditional statements: terms include hypothesis, conclusion, the Converse, Inverse, Contrapositive, and Biconditional statements, negations, and counterexamples.
3) Checked answers to Assignment #1.
4) Assignment #2 : If-then Statements and Postulates worksheet: TEKS: G.3B,
September 10/11,2007 (one block day)
Class notes: Slopes and equations of lines
Do this in your notes spiral:
[1] copy the definition and illustration of slope from the top of page 171 and copy the “KEY CONCEPT” box from that page.
Read over example 1 (you don’t have to copy it unless you need the review).
[2] copy the top half of page 172 including the “POSTULATES” green box (if you don’t know what that “P” word is, look it up.)
Read over example 2 (you don’t have to copy it unless you need the review).
[3] copy the top half of page 180 include the definition of “slope intercept form” and all of Example 1
Read over STEP 2 of example 3 (if you don’t remember how to find the equation of a line from a point and slope)
[4]Assignment #3: page 175: #1-22 and page 180 #1-22. [do this in your assignments spiral]
[5] One page class worksheet to review previous lesson “If then statements and postulates”
TEKS: G.7.A & G.7.B,
September 12/13,2007 (one block day)
1) Building blocks of Geometry: notes over points lines and planes and their relationships and names. Vocabulary includes collinear, coplanar, intersections, parallel, skew
2) Notes over segments and their measures and rays.
3) Assign #4: handout over “Points lines and planes with the back, Undefined Terms and Basic definitions”
TEKS: G.6.A & G.6.B,
September 14/17,2007 (one block day)
1) Notes over “Working with angles and special angle pairs”,
2) Assign #5: handout over “Parallel, Perpendicular, and Skew Lines with the back “Relationships between points, lines and planes”
TEKS: G.6.A & G.6.B,
September 18/19,2007 (one block day)
1) Activity “Modeling Points, Lines, and planes” Modeling points, lines, and planes activity helps students visualize the special relationships as planes, and lines intersect
2) In groups of two, students use instructions on a handout to build a model made from note cards, tape, and spaghetti and answer questions relating to that handout.
3) Warmup worksheet: “What do you know?”
4) Checked assignments #2-5
5) Assign #6: handout over conditional statements and pages 5-7 in textbook #1-39 to be answered in homework spiral.
6) Quiz next class over assignments #1-6
7) Notebook quiz next class over notes and Assignments #1-6.
TEKS: G.6.A & G.6.B, G.7.A
September 20/21,2007 (one block day)
1) Segments and their measures: Students will work on an activity to discover certain postulates about Segments and their relationships.
2) Check answers to Assign #6
3) Quiz over Assignments #1-6
4) Notebook quiz over Assignments #1-6
5) Assignment #7: pages 12-14:#2-28 even and 29-36 all and finish segment worksheet.
TEKS: G.5.A, G.7.C: G.8C
September 24/25,2007 (one block day)
1) Measuring Angles activity; using protractor and activity sheet
2) Students will review naming,classifying, measuring angles, and discovering relationships between angle pairs.
3) Notes: to be copied in notes spiral
Page 25: bottom of page Angle addition postulate include diagram and conditional statement
Page 26 bottom of page Congruent angles define and include information in box
Page 27: do patty paper activity. Page 28 top of page definition of Angle bisector use diagram from activity on bottom of page 27
Assignment #8: pages 28-31: #2-24 EVEN and #25-42 all and 48, 49
4) Test over Assignments #1-6.
TEKS: G.2.A, G.2.B: G.5.B
Sept 26-October 11, 2007
Lesson Plans Pre-AP Geometry
Susan Wilson Room 206
Sept 26/27, 2007(one block day)
1) Angle pairs: examples and applications of angle addition postulate, definition of angle bisector, complementary and supplementary angle definitions, linear pair postulate, and vertical angle theorem the last two discovered through inductive reasoning.
2) The linear pair postulate and vertical angle theorem to be copied in notes from page 126 in book.
3) Quiz 2 over assignments 8 and 9: segment and angle addition.
4) Reminder that Project is due next week. If you haven’t found enough information on your mathematician, come ask for a different name.
5) Assignment #9 : “1.6 exploring angle worksheet”.
TEKS: a.1,a.2,a.3,G.4,G.5.A, G.5B
Sept 28/Oct 1, 2007(one block day)
1. Segments and bisectors, including midpoints: notes, definitions, and examples practicing the application of these definitions.
2. Discovered and developed the midpoint and distance formulas on graph paper and practiced using these. Must have these memorized. Also reviewed simplifying radicals.
3. Assignment #10: pp.19-20 #1,2-40 even, 41-47
4. *****Assignment 11 has been changed and quiz 3 postponed.
5. Project due next class.
TEKS:,G.5.A, G.7C. G.8.C
Oct2/Oct 3, 2007(one block day)
1. Project due today at beginning of class: make sure date is written on back by the substitute. Staple the grading rubric on the back.
2. If project is not ready, it can be turned on the next calendar for 10 points off. ( minus 10 points each calendar day late)
3. In class work: 3 worksheets
a) reviewing the Pythagorean theorem and simplifying radicals
b) angle pair worksheet
c) distance and midpoint formula worksheet
d) begin assignment 11 when class work is finished.
4. Assignment #11: pages 38-40 and page 128 selected problems
Pages 38-40: #1-8, 12,16,18-29,31,34-39,43
Page 128:#8,9,12,15-27
TEKS:, a.1,a.4,G.2.B, G.3.B, G.3.C,G.4, G.5.A, G.5.B
Oct 4/Oct 5, 2007(one block day)
1. 5 examples writing equations of perpendicular bisectors and parallel lines and finding midpoints
2. Vocabulary list due next class.
3. Study for vocabulary quiz next class
4. Notebook quiz over notes and assignments 7-11and classwork.
5. Test on Oct 10/11th over assignments #1-11.
6. Assignment 12: Page 176:#23,24,25 Page185 #24,25,27,31,32,33
TEKS:,G.1.A, G.5.A, G.5C. G.7.A, G.9.B, G.9.C, G.10.A
Oct 8/Oct 9, 2007(one block day)
1. Transformations: translations, reflections, and rotations.
2. quiz 3 over angle pairs (assignment 9)
3. Quiz 4 over bisectors of segments and angles, midpoints, and distance formula over Assignment #10 and 11:
4. Vocabulary due for quiz grade (30 points off if late tomorrow)
5. Test next class Oct 10/11th over assignments #1-12.
Assignment 13 Pages 572-574
In notes spiral copy the yellow terms and their definitions and anything in a Green theorem box or Key concept box.
(don’t copy the proof)
Look over examples 1 and 2
Page 572: bottom Guided practice #1,2
Page 576: #1-14
(this won’t be tested or on a notebook quiz until the 2nd six weeks)
December 18, 2007
Review over Congruent figures.
Page 225: copy the notes from “congruent figures” (in yellow) through example 1.
Page 225:Copy example 1: the question, diagram, and answers
Page 226: copy example 2: The question, diagram, and answers.
Page 227: copy the Third Angles Theorem (the proof is part of the homework)
Page 227: copy the proof, but put statements and reasons in flowchart form.
Assignment #33: pages 228-230 #1-21,( all proofs flowchart form) 26, 28,31,32.
6.
TEKS:,G.1.A, G.5.A, G.5C. G.7.A, G.9.B, G.9.C, G.10.A
Oct 10/Oct 11, 2007(one block day)
1. Transformations: translations, reflections, and rotations.
2. Test over assignments #1-12.
3. Notebook quiz over notes and assignments 7-11 and classwork.
4. Assignment #14: IN YOUR NOTES SPIRAL:
Page 272 copy the yellow highlighted terms (5 of them) and the description of each. Include the three sketches from example 1.
Page 273 copy the definitions of Translations and Reflections each with their key concept box (Blue)
Page 589: In notes spiral copy the yellow term “line of reflection”with its definition and all the information below it with the illustrations. Look over examples 1,2,and 3.
Page 590: copy the Key concept box (illustrate each statement on a small hand drawn grid) and
Page 591: copy the Green theorem box.
IN ASSIGNMENT SPIRAL:
Page 590: bottom Guided practice #4
Page 593: #3-12
TEKS:,G.1.A, G.5.A, G.5C. G.7.A, G.9.B, G.9.C, G.10.A
Oct 12/13
1. Transformations:
Reflection activity with patty paper, translation examples, and rotations with patty paper.
2.Assignment 15: page 602 #1,3-14, with notes in notes spiral from top of page 598.
2ND SIX WEEKS
NOVEMBER 13/14THVocabulary quiz 2 instructions:Terms not on second six weeks vocabulary quiz (you still have to define and illustrate, but it will be tested on the 3rd six weeks vocabulary quiz)
10. Centroid
11. Circumcenter
12. concurrent
13. congruent triangles
15. corresponding parts
17. Distance from a point to a line
20. exterior angles of a triangle
23. Incenter
24. Included angle
25. Included side
26. Interior angle of a triangle
32. median of a triangle
33. midsegment of a triangle
35. orthocenter
37. point of concurency
December 18, 2007
Review over Congruent figures.
Page 225: copy the notes from “congruent figures” (in yellow) through example 1.
Page 225:Copy example 1: the question, diagram, and answers
Page 226: copy example 2: The question, diagram, and answers.
Page 227: copy the Third Angles Theorem (the proof is part of the homework)
Page 227: copy the proof, but put statements and reasons in flowchart form.
Assignment #33: pages 228-230 #1-21,( all proofs flowchart form) 26, 28,31,32.
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2nd semester: Pre-AP Geometry 4th six weeks2007 |
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January 3, 2007 – January 11, 2007
((four block days)
Day 1 January 3/4
1) Congruent triangle matching activity: using laminated boards with SSS, SAS, ASA, AAS, HL.
2) Discussed ways to prove congruent triangles
3) Copied the five postulates/theorems with diagrams.:
Side Side Side Postulate, Side Angle Side Postulate, Angle Side Angle Postulate, Angle Angle Side Theorem, and Hypotenuse Leg Theorem.
4) Worked three flow chart proofs (ex 1,2,3)
5) Assignment #1: front of handout #1-9, do #1-8 as flowcharts proofs in spiral.
Day 2 Jan 5/8
1) Prove parts of congruent triangles congruent (use the definition of congruent triangles)
2) Class will do four flow chart proofs using the definition of congruence.
3) Check homework assignment #1.
4) Assignment #2: (back of assignment #1) and #7 and #8 from the overhead Do as flowchart proofs in spiral
Day 3 Jan 9/10
1) Define and classify special quadrilaterals.
2) Complete chart organizing these quadrilaterals with their definitions and then discover, and prove theorems about parallelograms (6-1 to 6-5 in textbook)
3) Used ex. 1 from Jan 2/3 to prove first proof.(Opposite sides of a parallelogram are congruent.
4) Class led proof of 2nd proof (Opposite angles of a parallelogram are congruent and showed how part of proof would also prove consecutive angles supplementary)
5) Class led proof of theorem: Diagonals of parallelogram bisect each other.
6) Used homework problem #8 to prove theorem 6-5: If opposite sides of a quadrilateral are congruent, then it is a parallelogram. This and the other 3 theorems are to be copied for homework (most are converses of today’s theorems)
7) Class examples-2nd period only. Will use as warm up for 3rd next class.
8) Assignment #3. pp. 295-296: #6-15,17-32, pp301-2 #15-32 using theorems copied from book into notes pages 298-299: Theorems 6-5 to 6-8.
Day 4 Jan 11/12
1) Discover with patty paper and graphs and then prove theorems about attributes of special quadrilaterals: rhombi, rectangle, square, isosceles trapezoid, kites.
2) Class notes to define and prove these.
3) Class examples from pages 309 and 316 to apply these attributes
4) Assignment #4: copy theorems from pages 306,308,313 in note spiral, work problems Pages310-1:#15-33 and pages 317-8:#21-37
5) Quiz #2: quadrilaterals next class.
TEKS: G.2A, G.2B, G.3B, G.3C G.3D G.3E, G.4A, G.5B, G5C, G.7A, G.7B G.7C G.9A, G.9B, G.10A,G.10B
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5th six weeks Geometry2007 |
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Feb 12-15
Two block days:
Day 1: Feb 12/13
1) Did activity to review area formulas for quadrilaterals and triangles.MUST KNOW ALL FORMULAS FROM MEMORY
2) worked 5 examples in notes
3) Assign #1: pp.532-3:#5-23 and pp. 538-9 #6-22
Make sketch of figures with the work shown
Day 2: Feb 13014
1) Circumference and areas of circles and areas of regular polygons.
April 2, 2007 – April 5, 2007
Lesson Plans Pre-AP Geometry
Susan Wilson Room 206
(two block days)
Day 1 April 2/3
1) Answered questions over quiz on surface area and volume
2) Test
3) Transformation packet assigned: begin first two pages
4) Reminder of notebook quiz and vocabulary quiz next class
Day 2 April 4/5
1) Review over transformations: reflections, translations, and rotations.
2) Discussed vocabulary for transformations
3) Assigned pages 3 and 4 of transformation packetand look over the rotations and dilations
4) Vocabulary quiz
5) Vocabulary turned in.
6) Notebook quiz 2
TEKS: G.2A, G.2B, G.3B, G.3C G.3D G.3E, G.4A, G.5B, G5C, G.7A, G.7B G.7C G.9A, G.9B, G.10A,G.10B
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6th six weeks Geometry2007 |
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April 9, 2007 May 1, 2007
Lesson Plans Pre-AP Geometry
Susan Wilson Room 206
(eight block days)
Day 1 April 9/10
1) Did four rotation examples in spiral: including coordinate applications.
2) Did a reflection activity on a coordinate grid.
3) Used graphing calculator in statistics mode to perform transformations on the calculator using properties of reflections , translations, and dilations
4) Dilated a figure in spiral
5) Transformation packet assigned: finish last two pages
Day 2 April 11/12
1) Review over transformations in warm up on overhead.
2) Worked in class on a dilation worksheet review concept of scale factor and center of dilation(look at this section in textbook for extra help) .
3) Assigned majority of the next unit to be tested on April 25 and 26 ( much of this is a review of 7th and 8th grade proportionality)
4) Expect a transformation quiz next class.
5) Assign: finish transformation packet and do part 1 of similarity unit assigned below.
6) Test over Transformations April 23/24
7) Expect a proportionality quiz April 25/26.
8) Expect a proportionality test April 30/May 1
Unit 1 to be covered Day 3: April 13/16, Unit 2 covered in class Day 4:17/18, Unit 3 covered in class Day 5: 19/20, and Unit 4 covered on Day 6 in class and Transformation Test Day 7: 23/24. Unit 5 covered in class and quiz over similarity April 25/26 Day 8: Test over similarity. April 30/May 1
Similarity Unit: (no homework Tuesday or Wednesday night)
Notes are to be written in your notes spiral from the geometry book:
Practice is to be done in assignment spiral. We will have class time for much of this assignment and I may shorten some of the assignments as we work through them. We will do class practice over each unit and some review will be helpful for class and for the TAKS test. You will be responsible for a problem like any problem assigned from the book on a quiz or test.
Part 1: Page 346: copy definition and illustration. Include important concepts listed below illustration. Look over examples but don’t copy.
Practice: page 341: #8-13 and pages 350-2: #6-32.
Part 2: Pages 355-357: copy postulates and theorems in spiral. Look over examples at at page 354.
Practice: pages 357-8: #6-18
Part 3: Pages 362-364: copy theorems and corollaries in notes. Look at examples
Practice: pages 366-7: #6-25,28,29.
Part 4: Pages 370-372: copy theorems in notes. Look at examples.
Practice: pages 373-4: #7-9,12-28
Part 5: Proportional areas and volumes:notes from pages 629-631:
practice pages 632-633:#1-28.
Day 5 is the 9th grade TAKS math test for Block day A. No homework is to be done Tuesday or Wednesday The night before TAKS. The material we are working on during TAKS week is important as review and to prepare for Algebra 2, Pre-Calculus, and Calculus.
TEKS: G.2A, G.2B, G.3B, G.3C G.3D G.3E, G.4A, G.5B, G5C, G.7A, G.7B G.7C G.9A, G.9B, G.10A,G.10B
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6th six weeks Geometry 2008 CIRCLE UNIT SYLLABUS |
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Name: ____________________________________Period:________Date:_______
Circle unit syllabus
May 9/12,2008 Equations of circles and introduction to circle vocabulary and properties of Tangents to circles
Equations of Circles discovery worksheet
Assign 72: in notes spiral copy formula page 699 and Notes from pages 651-654 Practice workbook pages 202-204 #1-28.
May 13/14, 2008
Test on solids and similar solids
Notebook quiz 1: notes and Assignments 64-70
Homework applying vocabulary of circles and properties of tangents
May 15/16, 2008
Projects due
Arcs, their measures, central angle measures Homework applying vocabulary of circles and properties of tangents, arcs and central angles
Assign 73 Page 655-657 #1-34 notes pages 659,660 and Notes from pages 651-654 practice pages 661-662 #1-20
May 19/20, 2008
Assign 74: Notes pages 672 ,673,674, 675 (note ALL Theorems)and inscribed angle
Practice: pages 676-677 #1-25, page 680 #1-3.
Properties of chords (Wait till you see all the connections!!!) Notes pages 664,665,666, 680 Practice pages 667-668 #1-20. and
page 680 #1-3.
Quiz 7 Equations of circles
Quiz 8 Tangents, arcs, angle measures
May 21/22, 2008 Review
Vocabulary due and vocabulary quiz
Test Review for circles
Assign 75: : handout packet for circles
Quiz 9 Chords of circles and more tangents, arcs and angles.
May 27/28, 2008
Test Circles
Notebook quiz 2 Notes and Assignments 71-76
May 29/30, 2008
Exam review day
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