Download Chapter 5 - MAthMakesSense2

Chapter 5
Expectations
Goals: Key Understandings: Students will understand that…
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Mathematical terminology and symbols for geometry and measurement are used in
precise ways.
Transformed figures are still congruent.
Congruent figures are the same shape, corresponding sides that are the same measure,
and corresponding angles which have the same measure.
Essential Questions
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Why is it important to use precise mathematical vocabulary and symbols?
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What are the effects of transformations on plane figures?
What changes and what remains the same? Why?
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How do we use symbols to show congruence in diagrams?
Students will know…
 There are different types of angles: acute,
obtuse and right. (5.1)
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 Vertical angles formed by a transversal
are congruent. (5.2) and (5.9)
 Adjacent angles that are supplementary
will have a sum of 180 degrees. (5.2)
and (5.9)
 The sum of the interior angles in a
triangle is 180 degrees, while the sum of
the interior angles in a quadrilateral is
360 degrees. (5.2) and (5.9)
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 The sum of central angles in a circle
graph is 360 degrees. (5.3)
 We can calculate the percentages for
each sector through converting fractions
to percents. (5.3)
Students will be able to…
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Measure and construct various angles
using protractors. (5.1)
 Estimate measures of angles in the game
Angle Tangle. (5.1)
 Classify angles by size and type. (5.1)
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 Determine angle measures through
reasoning related to supplementary and
vertical angle relationships, as well as
using the sum of interior angle measures
for various polygons. (5.2)
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 Calculate the measures of central angles
in a circle graph using a protractor. (5.3)
 Construct a circle graph using the central
angles. (5.3)
Chapter 5
 Individual sectors’ angles may be
determined through multiplying their
percents by 360. (5.3)
 In order to construct central angles in a
circle graph, it helps to draw one radius
to use as a starting point. (5.3)
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 Various regular polygons have specific
defining characteristics. (5.4) and (5.9)
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 There are various types of
transformations: reflection, rotation,
translation. (5.5)
 Transformed figures are still congruent.
(5.5)
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 Plot ordered pairs on a coordinate grid.
(5.4)
 Solve problems about polygons on a
coordinate grid. (5.4)
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 Practice transformations: reflections;
rotations; + translations. (5.5)
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 Congruent figures are the same shape,
corresponding sides that are the same
measure, and corresponding angles
which have the same measure. (5.6)
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 Write their own definition of ‘congruent’
then compare / contrast this to what their
SRB has as a definition. (5.6)
_________________________________
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 Determine angle measures through
reasoning related to supplementary and
vertical angle relationships, as well as
using the sum of interior angle measures
for various polygons. (5.9)
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 Explore the relationship between angles of
a parallelogram. (5.10)
 Solve problems involving parallelograms.
 Play 3-D Sort. SRB p 335; MM 476
Chapter 5
Learning Plan
Day
Section / Objectives
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Q1
Q2
Q3
Capstone Activity- Performance Task (Project)
12
Chapter Review
13
Chapter Test
Homework