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Unit 1 – Shapes and Patterns Calendar and Overview
The instructional goals for this curriculum unit:
 Reason inductively.
 Identify two-dimensional shapes within three-dimensional structures.
 Analyze geometric relationships in order to make and verify conjectures.
 Use logical reasoning to determine if statements are true or false and give a
counterexample.
 Write a statement in if-then form and write its converse, inverse, and/or contrapositive
Enduring understandings:
Spatial awareness and recognition of shapes and patterns enhance understanding of our
surroundings.
Relationships among lines and angles can be used in everyday problems in design and
application.
Logical reasoning establishes the basis for developing, testing, and justifying conjectures to
form conclusions.
Deductive reasoning starts with a generalization and reasons to a specific statement. If the
generalization is true and the reasoning is valid, the specific statement will always be true.
Inductive and deductive reasoning is used in developing patterns both algebraically and
geometrically.
Essential questions:
How can data be used to make conjectures?
How does inductive reasoning help us make decisions?
What two dimensional shapes can be seen in the world around us?
How do inductive and deductive reasoning differ?
Key Vocabulary/Academic Concepts:
good definition, conjecture, counterexample, bi-conditional, conditional statement, converse,
informal proof, counterexample, deductive, inductive, reasoning, construction, point, line,
plane, collinear, coplanar, intersecting, segment, ray, opposite rays, angle, acute angle, right
angle, obtuse angle, straight angle, parallel, perpendicular, skew, midpoint, postulate, theorem,
congruent, segment addition postulate, midpoint, segment bisector, perpendicular bisector,
angle bisector, angle addition postulate, polygon, triangle, acute triangle, right triangle, obtuse
triangle, equiangular triangle, equilateral triangle, isosceles triangle, scalene triangle
TEKS in the Unit:
Readiness Standards: G.2B, G.3C, G.5A
Supporting Standards: G.1A, G.1B, G.2A, G.3B, G.3D, G.3E, G.4A, G.5B
Textbook References:
Glencoe’s Geometry: 1-1, 1-2, 1-3, 1-4, 1-5, 2-1, 2-5, 2-7, 2-8, 4-1, 4-2
Key Curriculum’s Discovering Geometry: 1.1, 1.2, 1.3, 1.5, 2.1, 3.2, 4.1
Additional Unit Resource Materials:
Michael Serra’s Patty Paper Geometry: Introduction, Investigation Sets 1 & 2
Key Curriculum’s Exploring Geometry with The Geometer’s Sketchpad: Chapters 1 & 3
Dale Seymour Publications’ Critical Thinking Activities, Grades 7-12: pg. 116, 121, 125,
133
Regular Geometry - Unit 1 – Shapes and Patterns
Day
Date
0
8/22
0
8/23
1
2
8/24
8/25
3
8/26
4
8/29
5
8/30
Topic
First day of school
Team and Class Building
Good Definitions
(good definition,
counterexample)
Symbols & Terms
(point, line, plane,
collinear & non-collinear
points, coplanar & noncoplanar points & lines,
intersecting lines &
planes)
Review conditional
statements as well as
converse, inverse, and
contrapositive
statements
Review of Properties
(conjecture, deductive
reasoning, inductive
reasoning,patterns,
addition property of
equality, subtraction
property of equality,
multiplication property of
equality, division property
of equality, substitution
property, distributive
property, reflexive
property, symmetric
property, transitive
property)
Segments, Rays & Angles
(endpoint, segment, ray,
opposite rays, angle,
vertex, acute angle,
obtuse angle, straight
angle, right angle,
protractor, degree)
Topic/Class Activity(s)
Getting to know you
activities
Class procedures, etc
Cooperative activities to
teach team work skills
“Shapes 1 activity”
“Shapes 1 – Examples &
Non-Examples” power
point
“Shapes 3” power point
“Definition Cards –
Shapes 3” handout
Homework
“Shapes 1 worksheet”
“Shapes 3 worksheet”
Discuss the difference
between inductive and
deductive logic
“Classroom Points”
“Definition Cards –
Shapes 4”
“Shapes 4” power point
“Shapes 4 Activity”
“Rally Robin -- Naming
Angles”
“PAIRS CHECK --
“Shapes 4 Worksheet”
6
8/31
7
9/1
8
9/2
Line & Plane Relationships
(parallel lines & planes,
perpendicular lines &
planes, skew lines)
Postulates & Theorems
(postulate, theorem, 5
basic postulates of
geometry)
9/5
9
10
11
12
9/6
9/7
9/8
9/9
Congruence & Segment
Addition
(congruent segments,
Ruler Postulate, Segment
Addition Postulate)
Midpoints & Segment
Bisectors
(midpoint, segment
bisector)
Review the midpoint
formula and how algebra
is used
Angle Addition & Angle
Bisectors
(congruent angles, angle
bisector, Protractor
Postulate, Angle Addition
Postulate)
Triangles & Interior
Angles
(interior & exterior
angles, triangle, right
triangle, acute triangle,
obtuse triangle,
Measuring & Classifying
Angles”
“Simultaneous Roundtable
-- Equations &
Inequalities with Angle
Definitions”
“Definition Cards –
Shapes 5, 7, 8”
“Shapes 5” power point
“Line & Plane
Relationships Activity”
Unit 1 Quiz
“Postulates & Theorems”
power point
“Postulates & Theorems
Chart 6, 7, 9”
Labor Day
“Shapes 7 Cards”
“Congruence & Segment
Addition” power point
“Postulates & Theorems
Chart 6, 7, 9”
“Sage-N-Scribe” activity
for Pre-AP/GT only
“Shapes 8 Cards”
“Midpoints & Segments
Activity”
“Definition Cards Shapes 5, 7, 8”
“Midpoints & Segment
Bisectors” power point
“PAIRS CHECK -Processing Midpoint”
“Angle Addition & Angle
Bisectors” power point
“Angle Addition & Angle
Bisectors Activity”
“Postulates & Theorems
Chart 6, 7, 9”
“Definition Cards 9, 10”
“Classifying Triangles
Warm-Up”
“Triangles & Interior
Angles Activity”
Definition Cards - Shapes
9, 10”
“Shapes 5 Worksheet”
“Shapes 6 Worksheet”
Questions from Glencoe
1-2
Questions form Glencoe
1-3 OR/AND Discovering
Geometry 1.1
Selected questions from
Glencoe 1-4
Selected questions from
Glencoe 4-1 & 4-2
equiangular triangle,
equilateral triangle,
isosceles triangle, scalene
triangle)
Review
13
9/12
14
9/13
Summative Assessment
“Triangles & Interior
Angles” power point
“DRAW IT -- Guess My
Triangle”
“PAIRS CHECK -Triangle Sum Theorem &
Algebra”
Fan and Pick – Draw what
I say
Geometry Shapes Our
World Project
Unit 1 Assessment