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Transcript
Name: _____________________________________ Period: ___________________
Unit 3 Goal Page: Triangles
Unit 3 CA Standards
A “T” represents this unit and any questions related to triangles will be entered into the grade book under “T.”
2.0 Students write geometric proofs, including proofs by contradiction.
4.0 Students prove basic theorems involving congruence and similarity.
5.0 Students prove that triangles are congruent or similar, and they are able to use the concept of corresponding parts of congruent triangles. (2)
6.0 Students know and are able to use the triangle inequality theorem. (2)
12.0 Students find and use measures of sides and of interior and exterior angles of triangles and polygons to classify figures and solve problems. (3)
16.0 Students perform basic constructions with a straightedge and compass, such as angle bisectors, perpendicular bisectors, and the line parallel to
a given line through a point off the line.
Unit 3 Learning Targets
Below are the topics covered in this unit, all of these topics are entered into the grade book under “A” for Angles.
LT
Description
CA Std
T1
I can classify triangles using their angles & side lengths.
12
T2
I can apply the Triangle Inequality Theorem to determine if 3 sides make a triangle or what the third side of a triangle is given 2 sides.
6
T3
I can use theorems such as Triangle Sum Theorem, Triangle Exterior Angle Theorem, & Base Angle Theorem to solve problems.
12
T4
I can create proofs that prove congruent triangles or congruent parts of triangles.
4&5
CS2
CS3
I can construct perpendicular bisector of a line & explain its purpose
I can construct a perpendicular line through a point to a given line & explain its purpose & difference between a
perpendicular bisector.
I can construct an angle bisector & explain its purpose.
I can construct a line parallel to a given line on a point off the line.
16
16
CS4
CS5
Acute Triangle
Obtuse Triangle
Right Triangle
Scalene Triangle
Equilateral Triangle
Isosceles Triangle
Triangle Inequality Theorem
Unit 3 New Vocabulary Words
Triangle Sum Theorem
Triangle Exterior Angle Theorem
Base Angle Theorem
Side-Side-Side Theorem
Side-Angle-Side Theorem
Angle-Angle-Side Theorem
Angle-Side-Angle Theorem
16
16
Corresponding Parts of Congruent
Triangles are congruent (CPCTC)
Definition of Bisector
Definition of Midpoint
Vertical Angle Theorem
Alternate Interior Angles Theorem
Congruent Triangles
Name: _____________________________________ Period: ___________________
Sun
9
16
23
30
Unit 3 Calendar
Below is a projected calendar; it is subjected to possible changes. That is why this is called a “goal page.”
October/November
Mon
Tues
Wed
Thurs
Fri
10
11
12
13
14
No School – Pupil Free
Benchmark Reflections
Triangle Inequality
Triangle Inequality
Notes Quiz
Day
Theorem (T2)
Theorem (T2)
Angle Bisector in
Triangles(CS 4)
17
18
19
20
21
Triangle Algebra (T3)
Triangle Algebra
Congruent Triangle
Congruent Triangle
Congruent Triangle
Proofs
Proofs
Proofs with CPCTC (T4)
-Basic Theorems &
-Basic Theorems &
Proofs (T4)
Proofs (T4)
24
25
26
27
28
Congruent Triangle Proofs
Congruent Triangle Proofs
Finish Congruent
Finish Congruent
Parallel Lines
-Proofs with vertical &
-Proofs with vertical &
Triangle Proofs (T4)
Triangle Proofs (T4)
Construction (CS 5)
Alternate Interior angles,
Alternate Interior angles,
bisectors, & midpoints (T4) bisectors, & midpoints (T4)
31
1
2
3
4
Triangle Review
Triangle Review
Construction
Project
Unit 3 Test
Unit 3 Test
Due:
10/11
Triangle Oral Test
Triangle Oral Test
Intro Construction
Intro Construction
Project
Project
Unit 2 Second Assessment: Congruent Triangle Proof Oral Test
& Construction Project
I have read the Unit 3 Goal Page and know that I can contract Mrs. Berlin with any further questions at [email protected] or call the
school.
Parent/Guardian signature: ___________________________________________Date: ________________
Student signature: ____________________________________________________Date: _________________
Sat
15
22
29
5