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2nd Grade Geometry Presentation 1
2016­05­25
www.njctl.org
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Table of Contents
Presentation 1
click on the topic to go
to that section
• 2D Shapes ­ Sides and Angles ­ Part 1
• 2D Shapes ­ Part 2
Lab: 2D Shapes Lab
• 3D Shapes ­ Part 1
• 3D Shapes ­ Part 2
Lab: 3D Shapes Lab
• Drawing Shapes
• Pattern Blocks
Lab: Going Geodesic with Triangles
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Table of Contents
Presentation 2
• Dividing Rectangles into Rows and Columns ­ Part 1
• Dividing Rectangles into Rows and Columns ­ Part 2
• Area
• Equal Parts ­ Halves
•
•
•
•
•
•
•
Equal Parts ­ Thirds
Equal Parts ­ Fourths
Equal Parts ­ Pattern Blocks
Equal Parts ­ Review
Arrays Part 1
Arrays Part 2
Arrays Part 3
• Array Word Problems
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Standards for Mathematical Practices
MP1 Make sense of problems and persevere in solving them.
MP2 Reason abstractly and quantitatively.
MP3 Construct viable arguments and critique the reasoning of others.
MP4 Model with mathematics.
MP5 Use appropriate tools strategically.
MP6 Attend to precision.
MP7 Look for and make use of structure.
MP8 Look for and express regularity in repeated reasoning.
Click on each standard to bring you to an example of how to meet this standard within the unit. 5
2D Shapes ­ Part 1
Angles and Sides
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2D or 2 Dimensional Shapes
Click on the square below to watch a video of 2D shapes
click me!
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2D Shapes
What are some 2D shapes you saw in the video?
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2D Shapes
circle
oval
square
rectangle
triangle
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2D Shapes
Do you know any other 2D shapes?
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2D Shapes
pentagon
rhombus
parallelogram
hexagon
trapezoid
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Lines
Shapes have either straight or curved lines.
straight
curved
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Lines
Straight lines that never touch are called parallel lines.
Teacher Notes
Parallel lines
Ex
tha
aren'
they
co
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Lines
Not parallel lines
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Sides
Shapes with straight lines have sides. Each line on the shape is a side. 4 sides
3 sides
5 sides
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Sides and Angles
Shapes with straight lines have angles.
An angle is turn between where two sides meet.
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Sides
How many sides does this shape have?
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Angles
How many angles does this shape have?
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Sides
How many sides does this shape have?
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Angles
How many angles does this shape have?
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This shape has 4 sides.
Yes
No
Answer
1
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This shape has 5 angles.
Yes
No
Answer
2
22
3 Which two shapes have 4 sides? C Answer
A B D 23
4 Which two shapes have 3 angles?
C Answer
A B D 24
5 Which shape has 3 sides?
C
B
D
Answer
A
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2D Shapes
Part 2
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Circle and Oval
Circles and ovals have no sides and no angles.
Circles and ovals have curved lines.
circle
oval
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All triangles have three sides and three angles.
Teacher Notes
Triangles
Exp
tha
See if
ot
h
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Quadrilaterals
All quadrilaterals have four sides and four angles.
Quadrilaterals have different names.
square
trapezoid
rectangle
Teacher Notes
Move each shape to reveal the name of the quadrilateral.
E
tha
See
h
parallelogram 31
All squares have 4 equal sides and 4 angles. They also have parallel opposite sides.
Teacher Notes
Square
S
the
of 32
All rectangles have:
~ 4 sides and 4 angles
~ 2 pairs of opposite equal sides
~ opposite sides that are parallel
Teacher Notes
Rectangle
Sh
th
33
Trapezoid
All trapezoids have 4 sides and 4 angles. They also have 2 sides that are parallel.
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Parallelogram
All parallelograms have a quadrilateral where the opposite sides are equal and parallel.
square
rectangle
diamond
rhombus
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Hexagon
A hexagon has 6 sides.
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Pentagon
A pentagon has 5 sides.
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Teacher Notes
How many: triangles _____
quadrilaterals _____
circles hexagons
_____
pentagons
_____
co
_____
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6 All four sides are equal on this shape.
Yes
Answer
No
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7 This shape has parallel lines.
Yes
Answer
No
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A
quadrilateral B
parallelogram
C
triangle
D
oval
Answer
8 This shape is a 41
9 A rectangle is a parallelogram
Yes
Answer
No
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A
triangle
B
quadrilateral
C
circle
D
trapezoid
Answer
10 This shape is a 43
Answer
11 How many sides does this shape have?
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Lab: 2D Shapes Lab
Students will build two dimensional shapes out of straws and twist ties. Then, they will play game in which the teacher or student will describe a 2 dimensional shape they have drawn while the other partner or group members produce that shape.
Click here for complete directions
Click to return to Table of Contents
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3D Shapes ­
Part 1
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3D or 3 Dimensional Shapes
Click on the cube below to watch a video of 3D shapes
click me!
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What were the 3D shapes you saw in the video?
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Cube
A cube is a solid shape. It has 6 flat sides that are all equal in size. A flat side on a shape is called a face.
A cube has 8 corners.
What are some objects you can think of that are in the shape of a cube?
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Cube
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Sphere
A sphere is a perfectly round solid shape.
Think of a sphere as a ball, not a circle.
A sphere has zero faces.
What are some objects you can think of that are in the shape of a sphere?
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Sphere
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Cylinder
face
A cylinder is a solid shape with 1 curved surface and 2 flat faces.
face
What are some objects you can think of that are in the shape of a cylinder?
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Cylinder
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Cone
A cone is a solid shape with a curved surface and 1 flat face.
face
The curved surface comes to a point called a vertex.
What are some objects you can think of that are in the shape of a cone?
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Cone
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Match the 3D Shapes
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12 This shape is a sphere.
Yes
Answer
No
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13 This shape is a cylinder.
Yes
Answer
No
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A
cylinder
B
sphere
C
cone
D
cube
Answer
14 What 3D shape is this object?
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A
cube
B
cone
C
sphere
D
cylinder
Answer
15 What 3D shape is this object?
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A
cone
B
sphere
C
cylinder
D
cube
Answer
16 What 3D shape is this object?
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Teacher Notes
3D Shapes ­
Part 2
exp
fi
fac
Hav
to s
see
Click to Return to Table of Contents
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3D Shapes
The flat side of a 3D shape is called a face.
This die has a number on each face.
Click the die to roll it and mark off each
face as it lands on it. 1 ­
2 ­
3 ­
4 ­
5 ­
6 ­
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Teacher Notes
Faces
gro
dic
How many faces does the die have?
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Corners
3­D shapes may also have corners.
A corner is the point where the edges meet.
A corner is also called a vertex.
Where are the other corners on this cube?
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Corners
How many corners does the die have?
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Faces
Teacher Notes
How many faces does your cylinder have?
G
grou
ob
of
h
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Corners
How many corners does your cylinder have?
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Faces
Teacher Notes
How many faces does your cone have?
gro
o
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Corners
How many corners does your cone have?
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Faces
Teacher Notes
How many faces does your sphere have?
Give s
stude
shap
them c
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Corners
How many corners does your sphere have?
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17 This object has 2 faces.
Yes
Answer
No
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18 This shape has 6 faces.
Yes
Answer
No
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Answer
19 How many faces does this shape have?
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Answer
20 How many corners does this shape have?
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Answer
21 How many corners does this shape have?
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Answer
22 How many faces does this shape have?
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Answer
23 How many faces does this shape have?
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Answer
24 How many corners does this shape have?
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Lab: 3D Shapes Lab
Students will build a three dimensional cube out of straws and pipe cleaners. They will then dip them in a soap solution to notice the films that are created in the cube frames. Building the cubes will reinforce their understanding of faces and vertices. They will also make a cone and make bubbles from this, reinforcing their understanding of the properties of cones and spheres. Click here for complete directions
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Teacher Notes
Drawing Shapes
u
s
list
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Drawing Shapes
Draw a shape that has 3 sides.
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Drawing Shapes
Draw a shape that has 4 angles.
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Drawing Shapes
Draw a shape that has 4 equal sides.
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Drawing Shapes
Draw a shape that has 4 sides and two that are parallel.
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Teacher Notes
diff
se
The
th
us
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Answer
25 How many circles are in this picture?
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Answer
26 How many triangles are in this picture?
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Answer
27 How many ovals are in this picture?
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Answer
28 How many squares are in this picture?
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Answer
29 How many rectangles are in this picture?
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Teacher Notes
Pattern Blocks
For thi
use pa
differen
have ac
click on co
baes1st
t/file
Click to Return to Table of Contents
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Pattern Blocks
square
trapezoid
rhombus
diamond
hexagon
triangle
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Pattern Blocks
We can make shapes using different pattern blocks.
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Pattern Blocks
What shape did I make using squares?
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Pattern Blocks
What shape did I make using triangles?
Could we use other shapes to make this same hexagon?
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Pattern Blocks
What shape did I make using diamonds?
Could we use other shapes to make this same parallelogram?
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Pattern Blocks
You can use different pattern blocks to make shapes too
What pattern blocks did I use?
What shape did I make?
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Pattern Blocks
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Fill in the missing parts of the chart
New Shape
I Made
How many
sides?
square
rectangle
4
triangle
hexagon
Blocks I Used
How many angles?
diamond
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Pattern Blocks
MP 5 Use pattern blocks to make your own shapes.
Math Practice
Fill in the chart about your new shapes.
Watch
blocks Be sur
corre
touchin
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Lab: Going Geodesic with Triangles
Have a ball creating a “sphere” to review concepts, display photos or drawings, share information, or to enhance vocabulary building. No need to measure! Click here for complete directions
Click to return to Table of Contents
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