Math: Unit 12
UNIT TITLE: Compare Fractions
Grade: 3
Domain:
 Geometry (CC.3.G)
Suggested Pacing
13 days
5/07/15 – 5/26/15
Stage 1 – Desired Result
Established Goals/Unit Outcome
Highest Level of Understanding:
 Describe, classify, and compare quadrilaterals based on their sides and angles and draw quadrilaterals.
 Describe, classify, and compare triangles based on the number of sides that have equal length and by their angles.
 Partition shapes into parts with equal areas and express the area as a unit fraction of the whole.
Average Level of Understanding:
 Describe angles and line segments in plane shapes.
 Solve problems by using the strategy “Draw a Diagram” to classify plane shapes.
Most Essential Level of Understanding:
 Identify and describe attributes of plane shapes.
Common Core Learning Standards:
CC.3.G.1: Reason with shapes and their attributes.
 Understand that shapes in different categories (e.g., rhombuses, rectangles, and others) may share attributes (e.g., having four
sides), and that the shared attributes can define a larger category (e.g., quadrilaterals). Recognize rhombuses, rectangles, and
squares as examples of quadrilaterals, and draw examples of quadrilaterals that do not belong to any of these subcategories.
CC.3.G.2: Reason with shapes and their attributes.
 Partition shapes into parts with equal areas. Express the area of each part as a unit fraction of the whole.
Mathematical Practices:
CC.K-12.MP.1: Make sense of problems and persevere in solving them.
CC.K-12.MP.3: Construct viable arguments and critique the reasoning of others.
CC.K-12.MP.6: Attend to precision.
Essential Questions:
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What are some ways to describe and classify two-dimensional shapes? (OVERALL)
What are some ways to describe two-dimensional shapes? (Lesson 12.1; CC.3.G.1)
How can you describe angles in plane shapes? (Lesson 12.2; CC.3.G.1)
How can you use line segments and angles to make polygons? (Lesson 12.3; CC.3.G.1)
How can you describe line segments that are sides of polygons? (Lesson 12.4; CC.3.G.1)
How can you use sides and angles to help you describe quadrilaterals? (Lesson 12.5; CC.3.G.1)
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How can you draw quadrilaterals? (Lesson 12.6; CC.3.G.1)
How can you use sides and angles to help you describe triangles? (Lesson 12.7; CC.3.G.1)
How can you use the strategy “Draw a Diagram” to classify plane shapes? (Lesson 12.8; CC.3.G.1)
How can you divide shapes into parts with equal areas and write the area as a unit fraction of the whole? (Lesson 12.9; CC.3.G.2)
Content:
 How to classify polygons.
 How to describe a triangle using its angles and sides.
 How to classify quadrilaterals.
 How to categorize quadrilaterals according to attributes.
 How to partition a shape into parts with equal areas.
 How to use the strategy “Draw a Diagram” to classify polygons.
Skills:
 Use the number of sides and the number of angles to identify
polygons (e.g., hexagon, trapezoid, or rhombus)
 Describe triangles using sides and angles.
 Classify quadrilaterals using sides and angles.
 Describe the attributes that quadrilaterals share.
 Partition shapes into parts with equal areas. (e.g., a square
partitioned into 8 equal sections/each section represents 1/8 of the
square’s area.)
 Solve problems by using the strategy “Draw a Diagram” to classify
plane shapes.
Terms / Vocabulary:
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closed shape
endpoint
line
line segment
Lesson 12.1
open shape
plane shape
point
ray
two-dimensional shape
Materials:
angle
 MathBoard
right angle
Lesson 12.2
 Counting Tape
vertex
 Bendable Straws
decagon
 Scissors
hexagon
 Ruler
octagon
 Pattern Blocks
pentagon
Lesson 12.3
 Color Pencils/Crayons
polygon
quadrilateral
side
triangle
intersecting lines
Lesson 12.4
parallel lines
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perpendicular lines
rectangle
rhombus
Lesson 12.5
square
trapezoid
Venn Diagram (Lesson 12.8)
area
Lesson 12.9
fraction
Stage 2 – Assessment Evidence
Performance Task:
Other Evidence:
Diagnostic:
 Show What You Know Pg. 481
Formative:
Critical Area Tasks A-D: Crafty Kids AG pp. 235-240
 Lesson Quick Check
 Mid-Chapter Checkpoint – Pg. 499-500
Summative:
 Chapter Review Test – Pg. 521-524
 Chapter Test – Pg. 191-196 (A.G.)
Stage 3 – Learning Plan
Standard
CC.3.G.1
CC.3.G.1
Go Math Lesson
Objective
Lesson 12.1:
Describe Plane
Shapes
Lesson 12.2:
Describe Angles in
Plane Shapes
Essential Questions
What are some ways
to describe twodimensional shapes?
How can you
describe angles in
plane shapes?
Vocabulary
Materials
closed shape
endpoint
line
line segment
open shape
plane shape
point
ray
two-dimensional
shape
MathBoard,
Counting tape
angle
right angle
vertex
MathBoard,
bendable
straws, scissors,
Assessment
Differentiation
Supplemental
/Substitute
Lessons
Quick Check
4&8
Reteach: Describe
Plane Shapes
My Math 14.1:
Hands On:
Angles
Enrich: Shape Up!
Quick Check
4&7
Reteach: Describe
Angles in Plane
Shapes
Counting tape
Enrich: Look at
My Angle!
CC.3.G.1
CC.3.G.1
CC.3.G.1
CC.3.G.1
CC.3.G.1
CC.3.G.1
Lesson 12.3:
Identify Polygons
Lesson 12.4:
Describe Sides of
Polygons
Lesson 12.5:
Classify
Quadrilaterals
Lesson 12.6:
Draw
Quadrilaterals
Lesson 12.7:
Describe Triangles
Lesson 12.8:
Problem Solving –
Classify Plane
Shapes
How can you use line
segments and angles
to make polygons?
decagon
hexagon
octagon
pentagon
polygon
quadrilateral
side
triangle
MathBoard,
Counting tape
How can you
describe line
segments that are
sides of polygons?
intersecting lines
parallel lines
perpendicular lines
MathBoard,
Counting tape
How can you use
sides and angles to
help you describe
quadrilaterals?
rectangle
rhombus
square
trapezoid
How can you draw
quadrilaterals?
How can you use the
strategy “Draw a
Diagram” to classify
plane shapes?
Reteach: Identify
Polygons
MathBoard,
Counting tape
MathBoard,
straws, scissors,
Counting tape
Quick Check
3&4
Mid-Chapter
Checkpoint
Reteach: Describe
Sides of Polygons
Quick Check
3&6
Reteach: Classify
Quadrilaterals
Quick Check
2&3
Enrich:
Quadrilateral
Riddles
Reteach: Draw
Quadrilaterals
Quick Check
2&3
Enrich: Why
Doesn’t it Belong>
Reteach: Describe
Triangles
Enrich: Side by
Side
Enrich: Sorting
Triangles
Venn Diagram
My Math 14.2:
Polygons
Enrich: Name
That Polygon
MathBoard,
ruler,
Counting tape
How can you use
sides and angles to
help you describe
triangles?
Quick Check
4&7
MathBoard,
Counting tape
Quick Check
3&4
Reteach: Classify
Plane Shapes
Enrich: Triple
Trouble
My Math 14.4:
Quadrilaterals
My Math 14.3:
Hands On:
Triangles
CC.3.G.2
Lesson 12.9:
Investigate –
Relate Shapes,
Fractions, and Area
Literacy Connections:
 The Whole Picture
How can you divide
shapes into parts
with equal areas and
write the area as a
unit fraction of the
whole?
area
fraction
MathBoard,
pattern blocks,
color pencils,
ruler, Counting
tape
Quick Check
4&6
Reteach: Relate
Shapes, Fractions,
and Area
Enrich: Secret
Message
Differentiated Instruction
Grab-and-Go Differentiated Center Kits
Games:
N/A
Activities:
Card # 11
Fish for Fractions
Card # 18
Classification Act
Figure It Out
What Figure?
Go Math Intervention Activities (ELLs, RTI, and SWDs):
ELLs
Strategy:
 Rephrase (Lesson 12.1: pg. 483B)
Strategy:
 Identify Relationships (Lesson 12.2: pg. 487B)
Strategy:
 Creative Grouping (Lesson 12.3: pg. 491B)
Strategy:
 Define (Lesson 12.4: pg. 495B)
Strategy:
 Explore Content (Lesson 12.5: pg. 501B)
Strategy:
 Draw (Lesson 12.6: pg. 505B; Lesson 12.7: pg. 509B)
Strategy:
 Model Language (Lesson 12.8: pg. 513B; Lesson 12.9: pg.
517B)
RTI
Lesson 12.1:
Tier 1: Visual/Linguistic (Whole Class/Small Group)
 Pg. 483B
Tier 2: Visual/Spatial (Small Group)
 Pg. 483B
Lesson 12.2:
Tier 1: Visual/Spatial (Whole Class/Small Group)
 Pg. 487B
Tier 2: Visual/Kinesthetic (Small Group)
 Pg. 487B
Lesson 12.3:
Tier 1: Visual/Spatial (Whole Class/Small Group)
 Pg. 491B
Tier 2: Visual/Spatial (Small Group)
 Pg. 491B
Lesson 12.4:
Tier 1: Visual/Spatial (Whole Class/Small Group)
 Pg. 495B
My Math 14.7:
Partition
Shapes
Tier 2: Visual/Spatial (Small Group)
 Pg. 495B
Lesson 12.5:
Tier 1: Visual/Spatial (Whole Class/Small Group)
 Pg. 501B
Tier 2: Visual/Spatial (Small Group)
 Pg. 501B
Lesson 12.6:
Tier 1: Kinesthetic/Visual (Whole Class/Small Group)
 Pg. 505B
Tier 2: Kinesthetic/Visual (Small Group)
 Pg. 505B
Lesson 12.7:
Tier 1: Visual/Kinesthetic (Whole Class/Small Group)
 Pg. 509B
Tier 2: Visual/Kinesthetic (Small Group)
 Pg. 509B
Lesson 12.8:
Tier 1: Kinesthetic/Visual (Whole Class/Small Group)
 Pg. 513B
Tier 2: Kinesthetic/Visual (Small Group)
 Pg. 513B
Lesson 12.9:
Tier 1: Kinesthetic/Visual (Whole Class/Small Group)
 Pg. 517B
Tier 2: Kinesthetic/Visual (Small Group)
 Pg. 517B
SWDs
Additional Support Strategies:
Fractions:
 Choose a peer to work with the student on problems
involving fractions.
 Develop a reference sheet for fractions (comparing
fractions).
 Provide the student with manipulatives which represent the
fractions involved in solving a problem.
 Provide the student with many concrete experiences to help
him/her learn to use fractions.
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Provide the student with enjoyable math activities involving
fractions which he/she can perform for drill and practice
either alone or with a peer. (computer games,
manipulatives, etc…)
Problem-Solving:
 Provide short and concise word problems that require a onestep process.
 Teach the student clue or key words to look for in word
problems that indicate mathematical operations.
 Have the student simulate situations which relate to math
word problems.
 Have the student solve word problems by manipulating
objects and stating the process used.
 Allow the student to use a calculator when solving word
problems.
Games/Activities Key:
Computation and Mental Math
Geometry and Measurement
Challenge