Download Unit 7 KUDOs Name Math 8 Essential Questions: What is similarity

Unit 7 KUDOs
Name __________________________
Math 8
Essential Questions:
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

What is similarity and how does it connect to proportional reasoning?
How are the lengths of the sides of two figures used to determine if the figures are similar?
How are proportional relationships in similar two-dimensional figures used to find missing
measurements?
 How are angle relationships used to find missing measurements?
TEKS Standards
8.3A Generalize that the ratio of corresponding sides of similar shapes are proportional, including a shape and its dilation.
8.3B Compare and contrast the attributes of a shape and its dilation(s) on a coordinate plane.
8.3C Use an algebraic representation to explain the effect of a given positive rational scale factor applied to twodimensional figures on a coordinate plane with the origin as the center of dilation.
8.8D Use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles
created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles.
8.10A Generalize the properties of orientation and congruence of rotations, reflections, translations, and dilations of twodimensional shapes on a coordinate plane
8.10B Differentiate between transformations that preserve congruence and those that do not
Know: (understand the meaning of these terms)
Put a checkmark in each box if you know the word well. Leave the box blank if you don’t know the word.
o
o
o
o
o
Corresponding Sides
Alternate Interior/ Exterior
Angles
Adjacent Angles
Transversal
Reflection
o
o
o
o
o
Corresponding Angles
Same-Side Interior/Exterior
Angles
Supplementary Angles
Scale Factor
Rotation
o
o
o
o
o
o
Vertical Angles
Corresponding Angles
Parallel Lines
Dilation
Translation
Transformation
Understand: Big ideas
Code:
X: beginning of unit
O: after lesson
*: before test
Corresponding angles are congruent in similar
figures, and corresponding sides are
proportional in similar figures
A dilation is a nonrigid transformation that
produces similar two-dimensional figures.
Which angles created by two parallel lines and
a transversal are congruent
Progress on goal
Don’t know
Got it!
Dates of Notes/
Activities
Which angles created by two parallel lines and
a transversal are supplementary
Properties of vertical angles
How to identify similar triangles, and how to
create similar triangles by dilation
How to translate polygons on a coordinate
plane
Do: Skill or Concept
Code:
X: beginning of unit
O: after lesson
*: before test
Use scale factors to create translations on a
coordinate plane.
Compare side length ratios of polygons and
their angle measures.
Identify all the kinds of angles included in
the vocabulary for the unit, and determine
their measures.
Create and justify dilations on the
coordinate plane
Justify the congruence of; dilations with a
scale factor of 1, and the congruence of
translations and reflections
Translate polygons on the coordinate plane:
Rotate, dilate, and reflect
Describe the effects of translations to the
perimeter and area of polygons
Progress on goal
Don’t know
Got it!
date(s) for notes and
activities