Download Precalculus, Learning Log

Secondary 2 Learning Log – Unit 2
Name ________________________
CH
2
Big Idea: Triangle
Similarity
Enduring Understanding: If triangles are similar then corresponding sides are
proportional and corresponding angles are congruent.
Day
Title
LEARNING TARGETS (What I should understand, know, and be able to do.)
1
3.1
Dilation of
polygons and
other figures
2
3.2
Similarity of
Triangles/Polygo
ns using
Transformations
Quiz
3
4
3.3
3.4
Quiz
7
Revie
w
Test
Concept
Score:
___
Possible: ___
Proving triangles
are similar
Similarity of
right triangles
Score:
___
Possible: ___
Enduring Question: What does the shadow have to do with it?
Score
a)
b)
c)
d)
I can determine if a figure is a dilation of another figure.
I can find the scale factor.
I can find the coordinates of a dilation given a center and a scale factor.
I can use a ruler and protractor to determine whether a given diagram
illustrates a dilation.
a) I can prove similarity using transformations, rotations, reflections and dilations.
b) I can determine if two figures are similar using translations, rotations,
reflections and dilations.
What do I need help with?
 WDYLT?

 WDYLT?
 Identical Twins or Mini-Me
What’s my plan?
a) I can prove that two triangles are similar using AA~, SSS~, and SAS~.
What did I do?
 WDYLT?

b) I can use proportions to show that two triangles are similar.
c) I can use proportions to find missing side lengths of similar triangles or triangle
sum theorem to find missing angles.
a) I can identify the altitude of a right triangle.
b) I know that the altitude divides a right triangle into 2 similar triangles that are
also similar to the original triangle.
c) I can use the similar triangles created by an altitude in the right triangle to find
unknown lengths.
d) I can use similar triangles to prove the Pythagorean Theorem.
What do I need help with?
Assessments/Learning Activities
 WDYLT?

What’s my plan?
What did I do?

Score:
___
Possible: ___
What do I need help with?
What’s my plan?
What did I do?
Day 1-- Dilations
 What is a dilation
 4 properties of dilations: (1. Shape, orientation and angles preserved; 2. Corresponding sides are parallel; 3. Corresponding sides are proportional; 4
corresponding points are collinear with the center.)
Day 2 --Similarity in polygons
 Definition of similarity in polygons/triangles-- corresponding angles are congruent; corresponding sides are proportional
 Find angle measures and missing side measures given triangles are similar
 Writing similarity statement
 Scale factor
Day 3--Prove triangles are similar
 AA~, SAS~, SSS~
Day 4 --Similarity of Right triangles.
Missing similarity transformations: