G.7 Lesson 1 ­ Intro to Similarity (Lesson Plan).notebook
Do Now: Find the value of x.
66
X
November 30, 2016
G.7 Lesson 1 ­ Intro to Similarity (Lesson Plan).notebook
Complete the G.6 Quiz! No talking.
November 30, 2016
G.7 Lesson 1 ­ Intro to Similarity (Lesson Plan).notebook
Similar
Triangles
November 30, 2016
Corresponding angles
are_________
A
Ratios
D
C
B
B
Similarity Statement
______ _______
E
AB
=
EC
=
BC
=
DC
=
AB
=
DE
=
G.7 Lesson 1 ­ Intro to Similarity (Lesson Plan).notebook
November 30, 2016
Unit G.7 - Similar Triangles
Learning Target: By the end of class I will be able to use
algebraic and coordinate methods to prove two triangles are
similar and will do this by taking notes and completing class
work and will demonstrate mastery by passing an exit ticket
with 3 out of 4 correct.
SOL - G.7
Homework - Complete 3rd page of worksheet
G.7 Lesson 1 ­ Intro to Similarity (Lesson Plan).notebook
SOL G.7 ­ Similar Triangles
Congruent Triangles (polygons)
• All corresponding angles are congruent
• All corresponding sides are congruent
Similar Triangles (or polygons) ­ • All corresponding angles are congruent
• All corresponding sides are proportional
November 30, 2016
G.7 Lesson 1 ­ Intro to Similarity (Lesson Plan).notebook
November 30, 2016
What does "proportional" mean?
4
6
9
12
8
6
What is the "scale factor?"
G.7 Lesson 1 ­ Intro to Similarity (Lesson Plan).notebook
Theorems/Postulates
Congruent
Similar
November 30, 2016
G.7 Lesson 1 ­ Intro to Similarity (Lesson Plan).notebook
November 30, 2016
Side­Side­Side Similarity (SSS~)
All corresponding sides are proportional
E
A
9
12
20
G
C
16
B
12
15
F
Similarity Statement:
G.7 Lesson 1 ­ Intro to Similarity (Lesson Plan).notebook
November 30, 2016
Side­Angle­Side Similarity (SAS~)
Two sides are proportional and the included angles are R
congruent
I
8
3
4
S
M
6
L
Similarity Statement
G.7 Lesson 1 ­ Intro to Similarity (Lesson Plan).notebook
Angle­Angle Similarity (AA~)
Two pairs of corresponding angles are congruent
note: the third angles are congruent by the Third Angle Theorem
D
B
C
A
E
Similarity Statement
November 30, 2016
G.7 Lesson 1 ­ Intro to Similarity (Lesson Plan).notebook
Using Similarity to find missing sides­­set up and solve a proportion.
x
4
8
10
y
6
November 30, 2016
G.7 Lesson 1 ­ Intro to Similarity (Lesson Plan).notebook
November 30, 2016
Are these triangles similar?
A(­3,4)
E(2,3)
F(5,2)
G(2,1)
C(­5,­2)
B(­1,­2)
G.7 Lesson 1 ­ Intro to Similarity (Lesson Plan).notebook
November 30, 2016
Complete pages 1 and 2 of worksheet
G.7 Lesson 1 ­ Intro to Similarity (Lesson Plan).notebook
November 30, 2016
G.7 Lesson 1 ­ Intro to Similarity (Lesson Plan).notebook
November 30, 2016
G.7 Lesson 1 ­ Intro to Similarity (Lesson Plan).notebook
November 30, 2016
G.7 Lesson 1 ­ Intro to Similarity (Lesson Plan).notebook
November 30, 2016
G.7 Lesson 1 ­ Intro to Similarity (Lesson Plan).notebook
November 30, 2016
G.7 Lesson 1 ­ Intro to Similarity (Lesson Plan).notebook
November 30, 2016
Unit G.7 - Similar Triangles
Learning Target: By the end of class I will be able to use
algebraic and coordinate methods to prove two triangles are
similar and will do this by taking notes and completing class
work and will demonstrate mastery by passing an exit ticket
with 3 out of 4 correct.
SOL - G.7
Homework - Complete 3rd page of worksheet
G.7 Lesson 1 ­ Intro to Similarity (Lesson Plan).notebook
November 30, 2016
Exit Ticket:For each of the diagrams, determine if the triangles can be proven similar. If yes, state which theorem then write the similarity statement. 4.
3.
2.
1.
A
A
J
A
D
6
B
C
B
3
3
L
E
4
E
C
5
10
8
3
2
D
C
2
5
O
B
K
6
4
3
N
Homework: Complete Cortez G.7 handout (front and back)
M
G.7 Lesson 1 ­ Intro to Similarity (Lesson Plan).notebook
November 30, 2016
G.7 Lesson 1 ­ Intro to Similarity (Lesson Plan).notebook
November 30, 2016
G.7 Lesson 1 ­ Intro to Similarity (Lesson Plan).notebook
Do Now
November 30, 2016
G.7 Lesson 1 ­ Intro to Similarity (Lesson Plan).notebook
How many triangles do you see? Redraw each triangle separately (including measurements). November 30, 2016
G.7 Lesson 1 ­ Intro to Similarity (Lesson Plan).notebook
November 30, 2016
G.7 Lesson 1 ­ Intro to Similarity (Lesson Plan).notebook
November 30, 2016
G.7 Lesson 1 ­ Intro to Similarity (Lesson Plan).notebook
Homework
November 30, 2016
G.7 Lesson 1 ­ Intro to Similarity (Lesson Plan).notebook
November 30, 2016
G.7 Lesson 1 ­ Intro to Similarity (Lesson Plan).notebook
November 30, 2016
G.7 Lesson 1 ­ Intro to Similarity (Lesson Plan).notebook
November 30, 2016