Drake  2015-2016  B Day Schedule
 Name___________________________________ Block_____
UNIT 4: Triangles and Their Relationships
DATE
TEXT
Wed.
Nov. 18
4-1
Test on Unit 3
Classifying Triangles
Complete the 4-1 Classifying Triangles Notes
Do IXL F.1 (you must score 70% or higher!)
4-2
Angles of Triangles
Do IXL F.2 & F.3 (you must score 70% or higher!)
4-3
to
4-5
Congruent Triangles (CPCTC)
Prove Triangles Congruent
by SSS, SAS, ASA, and AAS
4-3 to 4-5 Congruent Triangles Worksheet
NOT DUE until DEC. 2
Fri,
Nov. 20
Day 1
Tue,
Nov. 24
Day 2
OBJECTIVES
HOMEWORK ASSIGNMENT
No School on Thursday or Friday, November 26-27! Happy Thanksgiving!
Be thankful and cherish the time at home with your family.
Mon,
Nov. 30
Day 3
Wed,
Dec. 2
Day 4
Fri,
Dec. 4
Day 5
Tue,
Dec. 8
Day 6
Thu,
Dec. 10
Day 7
Mon,
Dec. 14
Day 8
Wed,
Dec. 16
Day 9
Fri,
Dec. 18
Day 10
Tue,
Dec 22
Day 11
4-3
to
4-5
4-3 to
4-5
Proofs on Proving Triangles
Congruent
4-3 to 4-5 Congruent Triangles Worksheet (same as 11-24)
Proofs on Proving Triangles
Congruent
Proofs on Congruent Triangles Worksheet
4-1 to
4-5
Unit 4A Review
4A Test Review – STUDY!
4-1 to
4-5
Unit 4A Test – Skill Sets 1 -3
5-1 Segments in Triangles Internet Homework
Bisectors of Triangles
IXL M.3 (you must score 70% or higher!)
Inequalities in One Triangle
Triangle Inequality Theorem
IXL M.4 & M.5 (you must score 70% or higher!)
Inequalities in Two Triangles
P. 371-73 #1-7, 10-15, 17-22 all
5-1 to 5-3
5-5 & 5-6
Unit 4B Review
4B Test Review – STUDY!
5-1 to 5-3
5-5 & 5-6
Unit 4B Test -Skill Sets 4 & 5
Have a Wonderful Winter Break!
5-1
&
5-2
5-3
&
5-5
5-6
Skill Set 1:
The student will classify triangles by sides and angles & apply the triangle sum & exterior-angle theorems in real world situations.
Skill Set 2:
The students will use CPCTC to find missing sides and angles of congruent triangles
Skill Set 3:
Students will prove that triangles are congruent using the following methods: SSS, SAS, ASA, AAS, or HL
Skill Set 4:
The student will identify and apply the properties of special segments in triangles, including altitudes, medians, and bisectors.
Skill Set 5:
The students will apply the inequality relationships of angles or sides of one or two triangles in real world situations, including
ordering the sides and angles of a triangle.
Unit 4: Triangles and Their Relationships
ENDURING UNDERSTANDINGS: Triangles are the cornerstone of geometry.
1.
2.
3.
4.
5.
Congruent triangles share corresponding parts.
The coordinate plane can be used to prove congruent triangles.
Triangles are essential in architecture.
The measure of segment lengths determines whether a figure is a triangle.
Relationships of geometric figures must be based on provable facts and not assumptions.
ESSENTIAL QUESTIONS: Why are triangles important in geometry?
1.
2.
3.
4.
5.
How do you identify corresponding parts of congruent triangles?
How do you use coordinate geometry to find relationships within triangles?
How are triangles used in structural design?
What relationship exists between the side lengths of triangles?
How will changing the measure of one angle affect the triangle?
VIRGINIA STATE SOL Objectives (2009):
G.5
The student, given information concerning the lengths of sides and/or measures of angles in triangles, will
a) order the sides by length, given the angle measures;
b) order the angles by degree measure, given the side lengths;
c) determine whether a triangle exists; and
d) determine the range in which the length of the third side must lie.
These concepts will be considered in the context of real-world situations.
G.6
The student, given information in the form of a figure or statement, will prove two triangles are congruent, using
algebraic and coordinate methods as well as deductive proofs.
VIRGINIA BEACH OBJECTIVES:
GH.TR.4.1
The student will apply properties of triangles in situations involving Science, Technology,
Engineering and Mathematics (STEM), including: classifying triangles based on sides
and angles; applying the triangle sum theorem; and applying the exterior-angle theorem.
GH.TR.4.2
The students will show that triangles are congruent by SSS, SAS, ASA, AAS or HL using
algebraic and coordinate methods as well as deductive proofs, including flow, paragraph
or two-column proof. (SOL G.6)
GH.TR.4.3
The student will draw conclusions about segments or angles using the corresponding parts of congruent
triangles theorem, including the use of altitude and median of a triangle, and overlapping triangles. (SOL G.6)
GH.TR.4.4
The students will apply the inequality relationships for angles or sides of one or two
triangles in situations involving Science, Technology, Engineering and Mathematics
(STEM), including ordering the sides and angles of a triangle. (SOL G.5 a, b, c, d)
PRIOR KNOWLEDGE & PRE-REQUISITE SKILLS (based on VA SOLS previously taught):
1.
2.
3.
The student will identify congruent and non-congruent shapes. (SOL 4.17 b)
The student will classify angles and triangles as right, acute, or obtuse. (SOL 5.14)
The student will apply the Pythagorean Theorem to find the missing length of a side of a right triangle
when given the lengths of the other two sides. (SOL 8.10 b)