321-03
Honors Geometry Homework
11/14/08
Homework
- Understand
the Definitions of Right and Isosceles Triangles; be able to name all of
the parts of each triangle; be able to use the information to understand
and use theorems and Corollaries (e.g., pg 138: Written Exercises 1-7; 13,
14, 17, 18, 21).
- Memorize Theorem 4.1 with Corollaries
1-3, and Theorem 4.2 with Corollary 1; be able to use this information to
name congruences in a given diagram (e.g., pg
136: Classroom Exercises 1-7); be able to calculate missing angles in a
diagram (e.g., pg 137: Written Exercises 1-8); be able to solve simple
proofs incorporating these concepts.
- Be
able to calculate missing angles on complex diagrams involving parallel
lines, multiple triangles, and other information (e.g., pg 138: Written
Exercises 24a and 25a).
- Be
able to solve problems for multiple variables (Systems of Equations) when
a diagram is or is not given (e.g., pg 139: Written Exercises 27-29).
- Complete
problems pg 137: Written Exercises 1-8.
- Review
Section 4.4 text and notes.
11/13/08
Homework
- Practiced
proofs (strategies, interpreting information, narrowing choices,
understanding what is needed to solve the proof e.g., pg 126: Written Exercises
18-25; pg 130-132: Written Exercises 3, 4, 7-10; 13, 14).
- Read
Section 4.4; be prepared to take notes next class.
11/12/08
Homework
- Review Postulate 12 (SSS), Postulate 13
(SAS), and Postulate 14 (ASA); be able to use this information to solve triangle
congruence proofs (e.g., pg 126 Written Exercises 16-21).
- Understand what you get from the
statement: “a line in perpendicular to a plane at point A.” Be able to use this information in a
triangle proof (e.g., pg 128: Example 2).
- Be
able to prove congruent parts of congruent triangles are congruent using
CPCTC (e.g., pg 130 Written Exercises 3, 4).
- Be
able to prove lines parallel, a point is a midpoint, a ray is an angle
bisector, etc. (e.g., pg 130 Written Exercises 1; pg 131: 8).
- Complete problems pg 130:
Written Exercises 4, 7-10, 13, 14.
- Review
Section 4.3 text and notes. Read
Section 4.4; be prepared to take notes next class.
11/11/08
Homework
- Be able to use the concepts and tools contained in
Sections 4.1 and 4.2 to solve basic congruence proofs given 2 triangles
(e.g., pg 126: Written Exercises 16-21).
- Complete problems pg 126:
Written Exercises 18, 19.
- Review
Section 4.2 text and notes. Read
Section 4.3; be prepared to take notes next class.
11/10/08
Homework
- Reviewed Cumulative Review of Chapters 1-3.
- Reviewed Handout 4.1 and pg 120: Written Exercises
1-11.
- Understand
what it means for an angle or side to be called “included”.
- Memorize Postulate 12 (SSS), Postulate
13 (SAS), and Postulate 14 (ASA); be able to use this information to identify
whether or not two triangles are congruent and why (e.g., pg 123, 124
Classroom Exercises 1-4); be able to use “hidden clues” (e.g., X, shared
sides, parallel lines) to supply the information needed to determine
congruence (e.g., pg 124 Classroom Exercises 5, 6; Written Exercises pg
124-125: 2-4, 7, 10, 11, 14, 15).
- Be able to discern when two triangles
are not congruent because the information is arranged in the wrong order
(e.g., pg125: 5, 6, 8, 12, 13)
- Complete problems pg 124
Classroom Exercises 1-9; pg 124-125: Written Exercises 1-15.
- Review
Section 4.2 text and notes. Read
Section 4.3; be prepared to take notes next class.
11/07/08
Homework – SUBSTITUTE TEACHER
- Complete
Cumulative Review of Chapters 1-3.
11/06/08
Homework
- Understand
the Definition of Congruence and the Concept of CPCTC; be able to name
congruent figures given congruent parts (e.g., pg 120: Written Exercises
5, 6, 10a, 11a); be able to name congruent parts given congruent figures
(e.g., pg 120: 10 b-d, 11 b-d); be able to identify congruent parts given
only the letters (e.g., pg 120: Written Exercises 1-4).
- BRING
GEOMETRY BOOK TO CLASS TOMORROW!
- Complete problems Handout 4.1;
pg 120: Written Exercises 1-11.
- Review
Section 4.1 text and notes. Read Section
4.2; be prepared to take notes next class.
11/05/08
Homework
- Understand
the Definitions of Inductive and Deductive Reasoning; be able to tell
whether a given statement represents Inductive or Deductive Reasoning
(e.g., pg 107: Classroom Exercises 1-6).
- Complete problems 15-24 on
Handout 3.6.
- Review
Section 3.6 and read Section 4.1; be prepared to take notes next class.
11/04/08
Homework
- Quiz
over Section 3.5 in class.
- Be
able to predict subsequent numbers in sequences using reasoning skills
(e.g., pg 107: Written Exercises 1, 2, 4, 5, 7, 8).
- Complete problems 1-14 on
Handout 3.6.
- Review
Section 3.6 and read Section 4.1; be prepared to take notes next class.
11/03/08
Homework
- Derived
the formulae for one interior angle of a regular polygon: (n-2)180/n and one exterior angle of a
regular polygon: 360/n. Be able to use these formulae to solve
word problems (e.g., pg 105: Written Exercises 16, 17, 21-25) and chart
problems (e.g., pg 104: Written Exercise 8).
- Study for quiz over Section
3.5.
- Complete problem pg 105:
Written Exercise 25.
- Read
Section 3.6; be prepared to take notes next class.
10/31/08
Homework
- Memorize Theorem 3.13 and Theorem 3.14;
be able to use this information to calculate the number of degrees of the
total interior or total exterior angles of any polygon with n sides (e.g., pg 104: 1-6); be
able to calculate a missing angle in a diagram of a polygon with one angle
missing (e.g., pg 104: 9).
- Understand the definition of Regular
Polygons; be able to calculate either one Interior Angle or one Exterior
Angle of a Regular Polygon with n
sides (e.g., pg 104: 1-6).
- Be
able to calculate the number to fill missing information on table problems
(e.g., pg 103: 9; pg 104: 8).
- Be
able to solve word problems involving Interior and/or Exterior Angles
(e.g., pg 105: 16, 17).
- Complete problems pg 104-105:
Written Exercises 1-6, 8, 10; 16, 17, 21-23
- Review
Section 3.5 text and notes. Read
Section 3.6; fill in the left column on your Note taking handouts. Be prepared to take notes.
10/30/08
Homework
- Understand
the characteristics of Convex and Non-Convex Polygons; be able to use the
“line that contains the side” test to identify which polygons are Convex
or Non-Convex (e.g., pg 103: 1-6).
- Understand the definition of Regular Polygons;
be able to calculate either one Interior Angle or one Exterior Angle of a
Regular Polygon with n sides
(e.g., pg 104: 1-6).
- Complete problems pg 103:
Classroom Exercises 1-7.
- Review
Section 3.5 reading and notes. Be
prepared to take notes next class.
10/29/08
Homework
- Quiz
in class over Section 3.4.
- Understand
the Definition of polygons (i.e., how polygons are constructed – their 3
characteristics); be able to recognize which figures are or are not
polygons (e.g., pg 101: bullet number 2 at top of page).
- Memorize the names of the polygons with
3-10 sides – and n-gons (see bottom of pg 101); be able to be able to
use this information to solve problems (e.g., pg 104: 1-6).
- Review
Section 3.5 reading and notes. Be
prepared to take notes next class.
10/28/08
Homework
- Be
able to work word problems (e.g., pg 97: 17-20) and Systems problems
(e.g., pg 98: 19, 20) using the information contained in Section 3.4.
- Be
able to work simple proofs (e.g., pg 98: 25, 28) using the information
contained in Section 3.4.
- Complete proofs pg 98: 25, 28.
- Review
Section 3.1-3.4 reading and notes.
Be prepared to take notes next class.
10/27/08
Homework
- Quiz
in class today over Section 3.3.
- Review Theorem 3.11 and its Corollaries
(1-4); using complex diagrams, be able to use this information to find
missing x and y in triangles, or larger figures composed of triangles
(e.g., pg 97: Written Exercises 5-16).
- Review Theorem 3.12; using complex
diagrams, be able to solve find missing x and y in triangles with Exterior
Angles (e.g., pg 96: Classroom 9-11; Pg 97: Written Exercises 11, 12).
- Review
Section 3.4. Be prepared to take
notes next class.
10/23/08
Homework
- Review
the Definition of Scalene Triangle, Isosceles Triangle, Equilateral
Triangle (i.e., classifying triangles by congruent sides); be able to
recognize each triangle given a diagram or numeric information; be able to
use the information provided by these triangles to solve word problems
(e.g., pg 97, 98: 17, 18 – find a variable that will make a triangle
Isosceles or Equilateral).
- Review
the Definition of Acute Triangle, Right Triangle, Obtuse Triangle, and
Equiangular Triangle (i.e., classifying triangles by angles); be able to
recognize each triangle given a diagram or numeric information; be able to
use the information provided by these triangles to solve word problems
(e.g., pg 97, 98: 19, 20)
- Review Theorem 3.11 and its Corollaries
(1-4); be able to use this information to find missing x and y in triangles,
or larger figures composed of triangles (e.g., pg 97: Written Exercises
5-16).
- Memorize Theorem 3.12; be able to solve
find missing x and y in triangles with Exterior Angles (e.g., pg 96:
Classroom 9-11; Pg 97: Written Exercises 11, 12).
- Complete problems pg 97-98:
Written Exercises 5-16; 26.
- Review
Section 3.4 reading and notes; read Section 3.5; fill in the left column
on your Note taking handouts (Theorem 3.13 and 3.14). Be prepared to take notes.
10/22/08
Homework
- Memorize Theorem 3.11 and its
Corollaries (1-4); be able to use this information to find missing x and y
in triangles, or larger figures composed of triangles (e.g., pg 97:
Written Exercises 5-16).
- Understand
Postulate
11 and Theorem 3.5 through Theorem 3.10; be
able to work simple proofs to demonstrate 2 lines are parallel (e.g., pg
88: Written Exercises 24; Handout 3.3 part 2: 1-5 as full proofs rather
than fill-in-the-blank proofs).
- Understand
the Definition of Scalene Triangle, Isosceles Triangle, Equilateral
Triangle (i.e., classifying triangles by congruent sides); be able to
recognize each triangle given a diagram or numeric information; be able to
use the information provided by these triangles to solve word problems
(e.g., pg 97, 98: 17, 18 – find a variable that will make a triangle
Isosceles or Equilateral).
- Understand
the Definition of Acute Triangle, Right Triangle, Obtuse Triangle, and
Equiangular Triangle (i.e., classifying triangles by angles); be able to
recognize each triangle given a diagram or numeric information; be able to
use the information provided by these triangles to solve word problems
(e.g., pg 97, 98: 19, 20).
- Review
Sections 3.4.
10/21/08
Homework
- Complete Handout 3.3.
- Review
Section 3.4.
10/20/08
Homework
- Quiz
3.1-3.3 in class today.
- Review
Section 3.4; fill in the left column on your Note taking handouts
(Theorems 3.11 and 3.12; list Corollaries 1-4 as separate blocks under
Theorem 3.11). Be prepared to take
notes on these concepts.
10/17/08
Homework
- Practiced
employing Postulate
11 and Theorem 3.5 through Theorem 3.10 to identify the pairs of lines on
a diagram that must be parallel based on limited given information (e.g.,
pg 87: Written Exercises 1-16).
- Practiced
employing Postulate
11 and Theorem 3.5 through Theorem 3.10 to supply the value of x and y
needed to cause lines to be parallel when given algebraic statements on a
diagram (e.g., pg 88: Written Exercises 18, 19).
- Practiced
employing Postulate
11 and Theorem 3.5 through Theorem 3.10 to solve for x and y in diagram problems that require
systems of equations (e.g., pg 88: Written Exercises 27-29).
- Understand
Theorem 3.6 and 3.10; be able to use these tools to complete simple proofs
(e.g., pg 88: Written Exercises 24-26).
- Complete problems pg 87-88:
Written Exercises 18, 19, 24, 27, 28.
- Review
Section 3.4; fill in the left column on your Note taking handouts
(Theorems 3.11 and 3.12; list Corollaries 1-4 as separate blocks under
Theorem 3.11). Be prepared to take
notes on these concepts.
10/16/08
Homework
- Review
the Definition of Transversal, Alternate Interior Angles, Corresponding
Angles, and Same Side Interior Angle; be able to identify each of these
items on a diagram (e.g., pg 75: 1-9).
- Memorize Postulate 11, Theorem 3.5, and
Theorem 3.6; be able to identify parallel lines based on information
related to pairs of angles on a diagram (e.g., pg 86, 87: Classroom 1-10;
Written Exercises 1-14).
- Understand
Theorem 3.7 and 3.10; be able to use these theorems to find lines parallel
(Remember the point about coplanar and non-coplanar).
- Memorize the information in the purple
box on the bottom of pg 85 of the textbook (it reflects the same
information as the previous bullet).
- Understand
Theorem 3.8 and Theorem 3.9; be able to answer straightforward questions
related to lines and points not on those lines (e.g., pg 86: 14-16).
- Complete problems pg 86:
Classroom Exercises 1-11; 14-16; 18, 19; pg 87: Written Exercises 1-14.
- Read
Section 3.4; fill in the left column on your Note taking handouts
(Theorems 3.11 and 3.12; list Corollaries 1-4 as separate blocks under
Theorem 3.11). Be prepared to take
notes on these concepts.
10/15/08
Homework – PSAT – HOMEWORK FROM 10/14/08
10/14/08
Homework
- Reviewed all concepts in Sections 3.1
and 3.2
- Be
able to sole simple proofs related to special pairs of angles created by a
transversal cutting parallel lines (e.g., pg 82: Written Exercises 20,
21).
- Quiz covering Sections 3.1 and 3.2
- Review
Section 3.3.
10/10/08
Homework - HOMECOMING
- Reviewed all problem types in Section
3.2
- Be able to solve for missing x and y
given a complex diagram that requires the use of Systems of Equations
(e.g., pg 82: Written Exercises 18, 19).
- Complete problems pg 82:
Written Exercises 20, 21.
- Review
Section 3.3.
10/09/08
Homework
- Memorize Postulate 10 and Theorem 3.2
through Theorem 3.4; be able to identify the special pairs of angles on a
diagram and state the relationship (congruence or supplementary)
associated with the pair (e.g., pg 75, 76: 2-9: 12-17; pg 80: Classroom
2-9).
- Be able to solve for missing x, y, and z
given either word problems (no picture e.g., pg 80: Written Exercises 5,
6) or complex diagrams (e.g., pg 81: Written Exercises 7-12; 14-16).
- Complete problems pg 80-81:
Written Exercises 5-12; 14-16. Look
at pg 82: 18and 19 – we will work them tomorrow in class.
- Read
Section 3.3.
10/08/08
Homework
- Review
the Definition of Transversal, Alternate Interior Angles, Corresponding
Angles, and Same Side Interior Angle; be able to identify each of these
items on a diagram (e.g., pg 75: 1-9).
- Review
Section 3.2; be prepared to work problems using the Postulate and Theorems
tomorrow in class.
10/07/08
Homework
- Memorize
the Definition of Parallel Lines, Skew Lines, Parallel Planes, Line Parallel to a Plane; be able to identify each of
these items on a 2D or 3D diagram (e.g., pg 75: 10-14).
- Memorize
the Definition of Transversal, Alternate Interior Angles, Corresponding
Angles, and Same Side Interior Angle; be able to identify each of these
items on a diagram (e.g., pg 75: 1-9).
- Understand
Theorem 3.1; be able to identify the intersections of planes on a 3D
diagram.
- Complete problems pg 75: Classroom Exercises 1-19; pg 76-77:
Written Exercises 1-17; 25-19.
- Read
Section 3.2; be prepared to take notes in class.
10/06/08
Homework
- Memorize
the Definition of Perpendicular Lines; be able to insert right angles on a
diagram given perpendicular lines and rays (e.g., pg 58: 9-12).
- Memorize Theorem 2.4, Theorem 2.5, and Theorem
2.6; be able to discern when these theorems are being used to justify
statements related to a diagram (e.g., pg 57: 6-11; pg 58: 3-8).
- Be
able to solve a simple proof using Theorems 2.4 – 2.6, the Definition of
Perpendicular Lines, and other supporting tools (e.g., pg 58: 2).
- Memorize Theorem 2.7 and Theorem 2.8; be
able to discern when these theorems are being used to justify statements
related to a diagram (e.g., pg 63: 1-14).
- Be
able to solve a simple proof using Theorems 2.7 and Theorem 2.8 (e.g., pg
62: 7-10).
- Be
able to solve Systems of Equations using Substitution (e.g., pg 69: 1-9)
or Addition/Subtraction (e.g., pg 69: 10-18).
- Practiced proofs from Sections
2.5 and 2.6.
- Read
Section 3.1; be prepared to take notes in class.
10/02-03/08
Homework
- Assigned by
substitute teacher in class
- Read
Section 2.6; fill in the left column on your Theorem Note taking handout
(Theorems 2.7 and 2.8). Be prepared
to take notes.
10/01/08
Homework
- Assigned by
substitute teacher in class
9/30/08
Homework
- Be
able to identify complements/supplements given a diagram; be able to
calculate a complement/supplement of a given angle.
- Be
able to calculate missing angles, supplements, and complements given word
problems or algebraic expressions on diagrams.
- Be
able to identify congruent Vertical Angles on a diagram; be able to
calculate the value of X given algebraic expressions on a diagram.
- Complete problem pg 54: Written
Exercise 33.
- Study for quiz covering special
pairs of angles: find complements/supplements, find missing X, solve word
problems.
- Read
Section 2.5; fill in the left column on your Theorem Note taking handout
(Theorems 2.4 – 2.6). Be prepared
to take notes.
9/29/08
Homework
- Memorize
the Definitions Complementary Angles, Supplementary Angles, and Vertical
Angles; be able to identify complements/supplements given a diagram; be
able to calculate a complement/supplement of a given angle.
- Be
able to calculate missing angles, supplements, and complements given word
problems or algebraic expressions on diagrams.
- Memorize
the Definition of Vertical Angles; be able to identify pairs of Vertical
Angles on a diagram.
- Memorize
Theorem 2.3.
- Complete problems pg 52-53:
Written Exercises 1-18; 28-31.
- Read
Section 2.5; fill in the left column on your Theorem Note taking handout
(Theorems 2.4 – 2.6). Be prepared
to take notes.
9/26/08
Homework
- Memorize
the Definitions Complementary Angles and Vertical Angles; be able to
identify complements given a diagram; be able to calculate a complement of
a given angle.
- Read
Section 2.4; fill in the left column on your Theorem Note taking handout
(Theorems 2.3). Be prepared to take
notes on this concept.
9/25/08
Homework
- Memorize Theorem 2.1 (Midpoint Theorem)
and Theorem 2.2 (Angle Bisector Theorem); be able to discern when these
theorems are being used as opposed to the corresponding Definitions.
- Be
able to solve a simple proof using the stack, the Angle/Segment Addition
Postulates, Clue Words, and the Substitution Property.
- Complete pg 40:
Classroom Exercises 1-10; pg 45 Classroom Exercises 1-9; pg 46:
Written Exercises 1-8.
- Read
Section 2.4; fill in the left column on your Theorem Note taking handout
(Theorems 2.3). Be prepared to take
notes on this concept.
9/24/08
Homework
- Be
able to complete simple proofs involving Segment Addition, Angle Addition,
Overlaps, and the Properties of Algebra (e.g., pg 42: Written Exercises
11-14).
- Complete pg 42: Written Exercises 11-14.
- Review
Sections 2.3; fill in the left column on your Theorem Note taking handout
(Theorems 2.1, 2.2). Be prepared to
take notes on these concepts Thursday.
9/22/08
Homework (9/23/08 ADVISORY RETREAT)
- Memorize
the Algebraic Properties of Equality and Congruence (pg 37); be able to
use these properties in simple proofs (especially in conjunction with the
Segment Addition and Angle Addition Postulates).
- Read
Sections 2.3; fill in the left column on your Theorem Note taking handout
(Theorems 2.1, 2.2). Be prepared to
take notes on these concepts Wednesday.
9/19/08
- Memorize
the Definition of a Bi-conditional Statement; be able to assess a
Conditional Statement (Conditional – True; Converse – True) and write a
Bi-conditional Statement when possible (p if and only if q).
- Memorize
the Algebraic Properties of Equality (pg 37); be able to use these
properties in simple proofs (especially in conjunction with the Segment
Addition and Angle Addition Postulates).
·
Bring a white board and white board marker to the next class.
·
Complete
problems pg 35: Written Exercises 1-25
odd.
·
Review
Section 2.2; be prepared to take notes in class.
9/18/08
- Memorize the Definition of a Conditional
Statement; be able to identify the p and q statements given a specific
Conditional Statement (pg 33).
- Memorize the 4-forms (pg 34) a
Conditional statement may take (If p,
then q; p implies q; p only if q; q if p).
- Be
able to write the Converse (if q,
then p) Statement.
- Memorize
the Definition of a Counterexample; be able to assess whether a given
statement (i.e., Conditional, Converse) is true or false.
·
Bring a white board and white board marker to the next class.
·
Read
Section 2.2; be prepared to take notes in class.
9/17/08
·
Bring a white board and white board marker to the next class.
·
Reviewed material covered with substitute
teacher.
·
Complete
pg 34: Classroom Exercises 1-15.
9/16/08 - SUBSTITUTE
·
Bring a white board and white board marker to the next class.
·
Students completed the Chapter 1 Review and
Chapter 1 Test in class.
·
Complete
Handout for 1.5.
·
Review
Section 2.1. Complete pg 34: Classroom Exercises 1-15.
9/15/08
- Understand Postulate 5 through Postulate
9; be able to use this information to answer True/False and other
questions with and without diagrams (e.g., pg 24 Classroom Exercises 1-12;
pg 25-26: Written Exercises 2-18).
This information will be important in the chapters to follow.
- Understand Theorem 1.1, 1.2 and 1.3; be
able to use this information to answer True/False and other questions with
and without diagrams (e.g., pg 24 Classroom Exercises 1-12; pg 25-26:
Written Exercises 2-18). This
information will be important in the chapters to follow.
- Bring
a white board and white board marker to the next class.
- Complete
Handout for 1.5.
- Read
Section 2.1.
9/12/08
·
Understand Postulate 3 (RULER POSTULATE), be
able to calculate missing angles or missing variables using this tool (e.g., pg
20: Classroom Exercises 7-22; 28-33).
·
Understand Postulate 4 (SEGMENT ADDITION
POSTULATE), be able to calculate missing angles or missing variables using this
tool (e.g., pg 21: Written Exercises 15-18; 26, 27).
·
Understand the tools contained in Section 1.3
(Definitions and Postulates); be able to apply information to a diagram and
solve complex problems for missing x, y, z (e.g., pg
22: Written Exercises 29-34).
·
Bring a white board and white board marker to the next class.
·
Complete
pg 21-21: Written Exercises 1-18; 23, 24, 26; 29-34; Extra Credit Problem pg
22: Written Exercises 36 (2 points).
·
Ensure
you have copied Postulates 5 through 9 into their respective boxes on the left
column of the Postulates Mat