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Page 1: Slide 1 / 242 - NJCTLcontent.njctl.org/courses/math/1st-grade/geometry/unit-9...2015/11/30  · Slide 6 / 242 A 2D shape is flat and has 2 dimensions (height & width). All of the shapes

Slide 1 / 242

Page 2: Slide 1 / 242 - NJCTLcontent.njctl.org/courses/math/1st-grade/geometry/unit-9...2015/11/30  · Slide 6 / 242 A 2D shape is flat and has 2 dimensions (height & width). All of the shapes

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1st Grade

Geometry

2015-11-30

www.njctl.org

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Table of Contents2 Dimensional ShapesSides and CornersOpen and Closed Shapes

Sorting by Attributes

Composite ShapesOrientationFaces and CornersRectangular Prisms & Cubes

Cones, Cylinders & Spheres

Introduction to FractionsHalvesFourthsReview of Fractions

Review of 3-D Shapes

Click togo to topic

Lab: Shape Fun

Lab: Building Shapes

Lab: I Can Find a Shape Like That

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Standards for Mathematical Practices

MP 8 Look for and express regularity in repeated reasoning.

MP 1 Make sense of problems and persevere in solving them.

MP 2 Reason abstractly and quantitatively.

MP 3 Construct viable arguments and critique the reasoning of others.

MP 4 Model with mathematics.

MP 5 Use appropriate tools strategically.

MP 6 Attend to precision.

MP 7 Look for and make use of structure.

Click on each standard to bring you to an example of how to meet

this standard within the unit.

Page 5: Slide 1 / 242 - NJCTLcontent.njctl.org/courses/math/1st-grade/geometry/unit-9...2015/11/30  · Slide 6 / 242 A 2D shape is flat and has 2 dimensions (height & width). All of the shapes

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2 Dimensional Shapes

Click to return to Table of Contents

Page 6: Slide 1 / 242 - NJCTLcontent.njctl.org/courses/math/1st-grade/geometry/unit-9...2015/11/30  · Slide 6 / 242 A 2D shape is flat and has 2 dimensions (height & width). All of the shapes

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A 2D shape is flat and has 2 dimensions (height & width). All of the shapes below are 2D shapes.

Click here for a song about shapes.

2D Shapes

Page 7: Slide 1 / 242 - NJCTLcontent.njctl.org/courses/math/1st-grade/geometry/unit-9...2015/11/30  · Slide 6 / 242 A 2D shape is flat and has 2 dimensions (height & width). All of the shapes

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What objects can you find in our classroom that are shaped like a circle?

2D ShapesI am a circle. I am round and I have no sides or edges. My center point is the same distance as any point on

the outer curve.

Page 8: Slide 1 / 242 - NJCTLcontent.njctl.org/courses/math/1st-grade/geometry/unit-9...2015/11/30  · Slide 6 / 242 A 2D shape is flat and has 2 dimensions (height & width). All of the shapes

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What objects can you find in our classroom that are shaped like a rectangle?

2D Shapes

I am a rectangle. I have four straight sides and four right corners. My opposite sides are

always equal.

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I am a special type of rectangle. I am called a square.I have 4 equal sides and four corners.

What objects can you find in our classroom that are shaped like a square?

2D Shapes

Page 10: Slide 1 / 242 - NJCTLcontent.njctl.org/courses/math/1st-grade/geometry/unit-9...2015/11/30  · Slide 6 / 242 A 2D shape is flat and has 2 dimensions (height & width). All of the shapes

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Are both of these shapes rectangles?

2D Shapes

Page 11: Slide 1 / 242 - NJCTLcontent.njctl.org/courses/math/1st-grade/geometry/unit-9...2015/11/30  · Slide 6 / 242 A 2D shape is flat and has 2 dimensions (height & width). All of the shapes

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Are both of these shapes rectangles?

2D Shapes

[This object is a pull tab]

Mat

h Pr

actic

eMP 3 Construct viable

arguments and critique the reasoning of others.

Have students discuss attributes of a rectangle and

decide if both shapes are rectangles or not. Then give

time for students to share their opinions.

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What objects can you find in our classroom that are shaped like a triangle?

2D ShapesI am a triangle. I have three straight sides and three corners.

Page 13: Slide 1 / 242 - NJCTLcontent.njctl.org/courses/math/1st-grade/geometry/unit-9...2015/11/30  · Slide 6 / 242 A 2D shape is flat and has 2 dimensions (height & width). All of the shapes

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What objects can you find in our classroom that are shaped like a hexagon?

2D ShapesI am a hexagon. I have six straight sides and six corners.

Page 14: Slide 1 / 242 - NJCTLcontent.njctl.org/courses/math/1st-grade/geometry/unit-9...2015/11/30  · Slide 6 / 242 A 2D shape is flat and has 2 dimensions (height & width). All of the shapes

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I am a trapezoid. I have 4 sides and 4 corners. The top is shorter than the bottom.

What objects can you find in our classroom that are shaped like a trapezoid?

2D Shapes

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What other flat (2D) shapes do you know?

2D Shapes

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Cross out all the circles.Circle all of squares.

Color the triangles red.Color the trapezoids blue.

Color the rectangles green.Color the hexagons black.

2D Shapes

Page 17: Slide 1 / 242 - NJCTLcontent.njctl.org/courses/math/1st-grade/geometry/unit-9...2015/11/30  · Slide 6 / 242 A 2D shape is flat and has 2 dimensions (height & width). All of the shapes

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Shape Pictures

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Shape Pictures

[This object is a pull tab]

Teac

her N

otes

Discuss shapes the students see in the picture. Relate this to how shapes are in our real

world. Have students use pattern blocks to make a

design with the blocks and then trace it onto paper. Have

another student name the shapes they see in the

picture.

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Click here for a fun game that has the children search pictures for hidden

shapes.

Hidden Shapes

Page 20: Slide 1 / 242 - NJCTLcontent.njctl.org/courses/math/1st-grade/geometry/unit-9...2015/11/30  · Slide 6 / 242 A 2D shape is flat and has 2 dimensions (height & width). All of the shapes

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1 Is this shape a square?

Yes

No

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1 Is this shape a square?

Yes

No

[This object is a pull tab]

Ans

wer

No

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2 Is this shape a triangle?

Yes

No

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2 Is this shape a triangle?

Yes

No

[This object is a pull tab]

Ans

wer

No

Page 24: Slide 1 / 242 - NJCTLcontent.njctl.org/courses/math/1st-grade/geometry/unit-9...2015/11/30  · Slide 6 / 242 A 2D shape is flat and has 2 dimensions (height & width). All of the shapes

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3 What is the name of this shape?

A square

B rectangle

C trapezoid

Page 25: Slide 1 / 242 - NJCTLcontent.njctl.org/courses/math/1st-grade/geometry/unit-9...2015/11/30  · Slide 6 / 242 A 2D shape is flat and has 2 dimensions (height & width). All of the shapes

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3 What is the name of this shape?

A square

B rectangle

C trapezoid

[This object is a pull tab]

Ans

wer

A

Page 26: Slide 1 / 242 - NJCTLcontent.njctl.org/courses/math/1st-grade/geometry/unit-9...2015/11/30  · Slide 6 / 242 A 2D shape is flat and has 2 dimensions (height & width). All of the shapes

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4 What is the name of this shape?

A circleB triangleC trapezoid

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4 What is the name of this shape?

A circleB triangleC trapezoid

[This object is a pull tab]

Ans

wer

AC

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5 How many circles do you see?

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5 How many circles do you see?

[This object is a pull tab]

Ans

wer

3

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Page 32: Slide 1 / 242 - NJCTLcontent.njctl.org/courses/math/1st-grade/geometry/unit-9...2015/11/30  · Slide 6 / 242 A 2D shape is flat and has 2 dimensions (height & width). All of the shapes

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Sides and Corners

Click to return to Table of Contents

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A side is one of the lines that make a shape.Sides

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How many sides does each shape have?

Rhombus Pentagon

Sides

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Can you count the sides?

Triangle Trapezoid

Sides

Page 36: Slide 1 / 242 - NJCTLcontent.njctl.org/courses/math/1st-grade/geometry/unit-9...2015/11/30  · Slide 6 / 242 A 2D shape is flat and has 2 dimensions (height & width). All of the shapes

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How many sides?

Hexagon Square

Sides

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A shape can have curved or straight lines

Curved

Straight

Sides

Page 38: Slide 1 / 242 - NJCTLcontent.njctl.org/courses/math/1st-grade/geometry/unit-9...2015/11/30  · Slide 6 / 242 A 2D shape is flat and has 2 dimensions (height & width). All of the shapes

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Put an X on the shapes with curved sides.

Sides

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Circle the shapes with straight sides.Sides

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A corner is the point where two sides meet. It can also be called a vertex.

Corners

Page 41: Slide 1 / 242 - NJCTLcontent.njctl.org/courses/math/1st-grade/geometry/unit-9...2015/11/30  · Slide 6 / 242 A 2D shape is flat and has 2 dimensions (height & width). All of the shapes

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How many corners does each shape have?

Rhombus Pentagon

Corners

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Count the vertices.

Triangle Trapezoid

Corners

Page 43: Slide 1 / 242 - NJCTLcontent.njctl.org/courses/math/1st-grade/geometry/unit-9...2015/11/30  · Slide 6 / 242 A 2D shape is flat and has 2 dimensions (height & width). All of the shapes

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How many corners?

Hexagon Square

Corners

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Square

I am made with straight lines.I have 4 corners.I have 4 sides.

All my sides are equal.What am I?

Name The Shape

?

Page 45: Slide 1 / 242 - NJCTLcontent.njctl.org/courses/math/1st-grade/geometry/unit-9...2015/11/30  · Slide 6 / 242 A 2D shape is flat and has 2 dimensions (height & width). All of the shapes

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Square

I am made with straight lines.I have 4 corners.I have 4 sides.

All my sides are equal.What am I?

Name The Shape

? [This object is a pull tab]

Teac

her N

otes

Click on the ? to reveal the correct shape.

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triangle

I am made with straight lines.I have three sides.

I have three vertices.What am I?

?

Name The Shape

Page 47: Slide 1 / 242 - NJCTLcontent.njctl.org/courses/math/1st-grade/geometry/unit-9...2015/11/30  · Slide 6 / 242 A 2D shape is flat and has 2 dimensions (height & width). All of the shapes

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Circle

I am made with curved lines.I do not have corners or sides.

I am round.What am I?

?

Name The Shape

Page 48: Slide 1 / 242 - NJCTLcontent.njctl.org/courses/math/1st-grade/geometry/unit-9...2015/11/30  · Slide 6 / 242 A 2D shape is flat and has 2 dimensions (height & width). All of the shapes

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rectangle

I am made with straight lines.I have 4 sides and 4 vertices.

I have 2 long sides and 2 short sides.What am I?

?

Name The Shape

Page 49: Slide 1 / 242 - NJCTLcontent.njctl.org/courses/math/1st-grade/geometry/unit-9...2015/11/30  · Slide 6 / 242 A 2D shape is flat and has 2 dimensions (height & width). All of the shapes

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HEXAGON

I am made with straight lines.I have 6 sides and 6 corners.

What am I?

?

Name The Shape

Page 50: Slide 1 / 242 - NJCTLcontent.njctl.org/courses/math/1st-grade/geometry/unit-9...2015/11/30  · Slide 6 / 242 A 2D shape is flat and has 2 dimensions (height & width). All of the shapes

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What is similar about the sides of a trapezoid and a rhombus?

Class Discussion

Page 51: Slide 1 / 242 - NJCTLcontent.njctl.org/courses/math/1st-grade/geometry/unit-9...2015/11/30  · Slide 6 / 242 A 2D shape is flat and has 2 dimensions (height & width). All of the shapes

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What is similar about the sides of a trapezoid and a rhombus?

Class Discussion

[This object is a pull tab]

Mat

h Pr

actic

e

MP 7: Look for and make use of structure.

Encourage students to talk with a partner about

what is the same (4 sides, straight sides, they both have sides that slant).

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6 How many sides does a square have?

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6 How many sides does a square have?

[This object is a pull tab]

Ans

wer

4

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7 Does a circle have curved or straight sides?

A Curved

B Straight

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7 Does a circle have curved or straight sides?

A Curved

B Straight

[This object is a pull tab]

Ans

wer

A

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8 Does a rectangle have 3 corners?

Yes

No

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8 Does a rectangle have 3 corners?

Yes

No

[This object is a pull tab]

Ans

wer

No

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9 How many corners does a trapezoid have?

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9 How many corners does a trapezoid have?

[This object is a pull tab]

Ans

wer

4

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10 How many sides does a triangle have?

A 2B 3C 4

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10 How many sides does a triangle have?

A 2B 3C 4

[This object is a pull tab]

Ans

wer

B

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Open and Closed Shapes

Click to return to Table of Contents

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2D shapes can be open or closed.If a shape is open, two or more of the sides do not meet.

If a shape is closed, all of the sides meet.

Open Closed

Open or Closed

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Open and closed shapes can have both curved and straight sides.

Open or Closed

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Is this shape open or closed?Explain why.

How could we make it closed?

Open or Closed

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Draw an open shape with 3 straight sides.

Open

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Draw an open shape with 3 straight sides.

Open

[This object is a pull tab]

Mat

h Pr

actic

e

MP 4 Model with mathematics.

Have a volunteer come to the board and draw the shape.

Then ask for another volunteer to come make the shape

closed.

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Draw a closed shape with 6 sides.

Closed

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Draw a closed shape with curved sides.

Closed

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Put a red X on the open shapes.Put a green O around the closed shapes.

Open or Closed

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11 This shape is closed.

True

False

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11 This shape is closed.

True

False

[This object is a pull tab]

Ans

wer

True

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12 Karen said this shape is open. Is she correct?

Yes

No

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12 Karen said this shape is open. Is she correct?

Yes

No

[This object is a pull tab]

Ans

wer

No

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13 Sue saw an open shape while driving in the car. Which shape did she see?

A

B

C

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Slide 60 (Answer) / 242

13 Sue saw an open shape while driving in the car. Which shape did she see?

A

B

C[This object is a pull tab]

Ans

wer

B

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14 Which two shapes are closed?

A

B

C

D

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14 Which two shapes are closed?

A

B

C

D[This object is a pull tab]

Ans

wer

B & D

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15 Is this shape open?

Yes

No

Quiz

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15 Is this shape open?

Yes

No

Quiz

[This object is a pull tab]

Ans

wer

Yes

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Lab: I Can Find a Shape Like That

Click here for complete directions

This active game allows young learners to explore their environment and to discover that shapes that are

all around them.

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Slide 64 / 242

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Sorting by Attributes

Click to return to Table of Contents

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Sorting means putting things into groups that have similar characteristics. These characteristics are called attributes. You can sort by different rules:

size

shape

color

Sorting

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Small Large

Sorting by Size

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Circle RectangleSquare Triangle

Sorting by Shape

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Red Yellow Blue

Sorting by Color

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Sort the shapes by their size

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Sort the shapes by their shape

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Is there any other way to sort the shapes?

Sorting

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Is there any other way to sort the shapes?

Sorting

[This object is a pull tab]

Mat

h Pr

actic

e

MP 1 Make of problems and persevere in solving them.

Give the students time to share other ways to sort the

shapes; the number of sides, the number of

corners, etc. Allow students to come to the board and

move the shapes.

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We can make patterns using different attributes.

Color pattern:

Shape pattern:

Size pattern:

Sorting Patterns

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We can make patterns using different attributes.

Color pattern:

Shape pattern:

Size pattern:

Sorting Patterns

[This object is a pull tab]

Teac

her N

otes

Discuss the different patterns. Show students how each pattern only focuses on

one attribute. If you feel that the students are ready you

may wish to develop patterns based on two attributes.

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16 John sorted his blocks. Jimmy told him he liked how he sorted them by their color. Is Jimmy correct?

Yes

No

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16 John sorted his blocks. Jimmy told him he liked how he sorted them by their color. Is Jimmy correct?

Yes

No

[This object is a pull tab]

Ans

wer

No

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17 These shapes are shorted by which attribute?A colorB shapeC size

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17 These shapes are shorted by which attribute?A colorB shapeC size

[This object is a pull tab]

Ans

wer

C

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18 Kim sorted her blocks. Which attribute did she sort by?A colorB shapeC size

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Slide 77 (Answer) / 242

18 Kim sorted her blocks. Which attribute did she sort by?A colorB shapeC size

[This object is a pull tab]

Ans

wer

A

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19 These shapes are shorted by which attribute?

A colorB shapeC size

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Slide 78 (Answer) / 242

19 These shapes are shorted by which attribute?

A colorB shapeC size

[This object is a pull tab]

Ans

wer

B

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20 This pattern follows which attribute?

Quiz

A colorB shapeC size

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Slide 79 (Answer) / 242

20 This pattern follows which attribute?

Quiz

A colorB shapeC size

[This object is a pull tab]

Ans

wer

B

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Lab: Shape Fun

Have you ever seen randomly shaped pieces of wood and wondered how they could be used? Well, young children find geometry an exciting topic. Even with

random pieces, there are many ways to investigate and discover geometric shapes.

Click here for complete directions.

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Composite Shapes

Click to return to Table of Contents

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You can use shapes to build new shapes.

Which small shape do you see?What is the larger shape?

Composite Shapes

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You can use shapes to build new shapes.

Which small shape do you see?What is the larger shape?

Composite Shapes

[This object is a pull tab]

Teac

her N

otes

Pass out pattern blocks for the students to use during the

next few slides.

This site also has pattern blocks that you can slide

around. http://www.mathplayground.com/

patternblocks.html

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Use your pattern blocks to arrange three triangles to make a trapezoid.

Composite Shapes

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Use your pattern blocks to arrange three triangles to make a trapezoid.

Composite Shapes

[This object is a pull tab]

Teac

her N

otes The triangle is cloned to click

and drag onto the trapezoid. Allow students time to try it on

they own at their desk and then demonstrate it on the board.

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How many trapezoids did you use?

Composite Shapes

Use your pattern blocks to arrange trapezoids to make a hexagon.

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Slide 86 (Answer) / 242

How many trapezoids did you use?

Composite Shapes

Use your pattern blocks to arrange trapezoids to make a hexagon.

[This object is a pull tab]

Teac

her N

otes The trapezoid is cloned to click

and drag onto the hexagon. Allow students time to try it on

they own at their desk and then demonstrate it on the board.

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Use your pattern blocks to arrange triangles to make a rhombus.

How many triangles did you use?

Composite Shapes

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Use your pattern blocks to arrange triangles to make a rhombus.

How many triangles did you use?

Composite Shapes

[This object is a pull tab]

Teac

her N

otes

The triangle is cloned to click and drag onto the rhombus. Allow

students time to try it on they own at their desk and then demonstrate

it on the board.

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Use your pattern blocks to arrange rhombuses to make a hexagon.

How many rhombuses did you use?

Composite Shapes

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Slide 88 (Answer) / 242

Use your pattern blocks to arrange rhombuses to make a hexagon.

How many rhombuses did you use?

Composite Shapes

[This object is a pull tab]

Teac

her N

otes The rhombus is cloned to click

and drag onto the hexagon. Allow students time to try it on

they own at their desk and then demonstrate it on the board.

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Slide 89 / 242

Use your pattern blocks to arrange triangles to make a hexagon.

How many triangles did you use?

Composite Shapes

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Slide 89 (Answer) / 242

Use your pattern blocks to arrange triangles to make a hexagon.

How many triangles did you use?

Composite Shapes

[This object is a pull tab]

Teac

her N

otes The triangle is cloned to click

and drag onto the hexagon. Allow students time to try it

on they own at their desk and then demonstrate it

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Use the shapes at the bottom to create the new shape.

Composite Shapes

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Use the shapes at the bottom to create the new shape.

Composite Shapes

[This object is a pull tab]

Mat

h Pr

actic

e

MP 5 Use appropriate tools strategically.

Have students try to build the shape with their blocks at their desk. Give them time to talk it

out with a partner. Have a volunteer come to the board to

build the shape.

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Use the shapes at the bottom to create the new shape.

Composite Shapes

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Use the shapes at the bottom to create the new shape.Composite Shapes

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Use the shapes at the bottom to create the new shape.Composite Shapes

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Use the shapes at the bottom to create the new shape.

Composite Shapes

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Use the shapes at the bottom to create the new shape.

Composite Shapes

[This object is a pull tab]

Teac

her N

otes

For more practice you can go to http://

www.kellyskindergarten.com/math/math_activities.htm and click on pattern block pictures for fun printable pictures for

kids to make with their blocks.

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21 Can you make a rhombus with two triangles?

Yes

No

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21 Can you make a rhombus with two triangles?

Yes

No

[This object is a pull tab]

Ans

wer

Yes

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22 There are three triangles in this trapezoid.

True

False

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22 There are three triangles in this trapezoid.

True

False

[This object is a pull tab]

Ans

wer

True

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23 Which two shapes were used to make this shape?

A

B

C

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23 Which two shapes were used to make this shape?

A

B

C[This object is a pull tab]

Ans

wer

C

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24 Which two shapes were used to make this shape?

A

B

C

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24 Which two shapes were used to make this shape?

A

B

C [This object is a pull tab]

Ans

wer

A & C

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25 Which three shapes were used to make this shape?

A

B

C

D

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25 Which three shapes were used to make this shape?

A

B

C

D

[This object is a pull tab]

Ans

wer

A, B, C

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Orientation

Click to return to Table of Contents

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Front and Behind

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Front and Behind

[This object is a pull tab]

Teac

her N

otes Use the pictures of the vehicles

to practice using the words front and behind. The vehicles

can be moved around. Also use objects in the classroom to demonstrate front and behind.

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Slide 104 (Answer) / 242

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Over, Under, Above, and Below

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Over, Under, Above, and Below

[This object is a pull tab]

Teac

her N

otes

Use the pictures of the table and kitchen items to practice using the words over, under, above, and below. The items can be

moved around. Also use objects in the classroom to demonstrate over, under, above, and below.

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Top, Middle and Bottom

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Top, Middle and Bottom

[This object is a pull tab]

Teac

her N

otes

Use the pictures of the blocks to practice using the words top,

middle and bottom. The blocks can be moved around. Also use

objects in the classroom to demonstrate top, middle and

bottom.

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Left and Right

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Left and Right

[This object is a pull tab]

Teac

her N

otes

Use the pictures of the hands to discuss how the left hand

makes a L when we put our thumbs out to the side. Then use the house and animals to

practice using the words left and right. Also use objects in the classroom to demonstrate left and right. Hang the words left

and right in the classroom.

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Build a TowerPut the red square on top.

Put the blue square on the bottom.Put the green square in the middle.

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The boy is between the girls.Can you find the boy?

(Erase to reveal.)

Between

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Put the sun over the mountain.

Over

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Put the dog on the sidewalk.On

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Put the bee inside the jar.Inside

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Put the birds above the cloud.

Above

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Put the fish below the boat.

Below

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The bear is under the bed. Can you find the bear?

(Erase to reveal.)

Under

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Put the bread outside the cart.

Outside

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26 Is the bear behind the chair?

Yes

No

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26 Is the bear behind the chair?

Yes

No

[This object is a pull tab]

Ans

wer

No

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27 Carla packed her box to move. She put toys inside the box but left a toy outside the box. Which toy is outside the box?

A

B

C

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27 Carla packed her box to move. She put toys inside the box but left a toy outside the box. Which toy is outside the box?

A

B

C[This object is a pull tab]

Ans

wer

C

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28 Which animal is above the house?

A

B

C

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28 Which animal is above the house?

A

B

C

[This object is a pull tab]

Ans

wer

B

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29 Which animal is in the middle?

A

B

C

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29 Which animal is in the middle?

A

B

C

[This object is a pull tab]

Ans

wer

C

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30

True

False

The boy is on the left of the desk.

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30

True

False

The boy is on the left of the desk.

[This object is a pull tab]

Ans

wer

False

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Faces and Corners

Click to return to Table of Contents

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A 3-dimensional shape takes up space. Objects that you can hold are 3-dimensional (3-D).

3-D shapes have height, length, and width.

Click here for a song about 3-D shapes

3D Shapes

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3-D shapes have faces.Faces are the flat sides of the shape.

3D Shapes

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3-D shapes can also have curved surfaces.

Shapes with curved surfaces can roll.

3D Shapes

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Look at the 3-D shapes on your desk. Put your finger on a flat face of one object.

Try to stand the shape on the flat face.

Now find a shape that can roll.Only shapes with a curved surface can roll.

3D Shapes

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Look at the 3-D shapes on your desk. Put your finger on a flat face of one object.

Try to stand the shape on the flat face.

Now find a shape that can roll.Only shapes with a curved surface can roll.

3D Shapes

[This object is a pull tab]

Teac

her N

otes Pass out 3-D shapes to each child or small

group.

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What shape is each flat side?

3D Shapes

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Match Name Shape Flat side

1. rectangular prism

2. cube

3. cylinder

4. cone

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3-D shapes have corners.Corners are where the edges meet.We can also call a corner a vertex.

3D Shapes

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Shape Corners Flat Faces Rolls Stacks

8 6 no yes

Complete the chart by observing your 3-D shapes3D Shapes

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Circle the shapes that roll.

Circle the shapes that have flat sides.

Circle the shapes that have corners.

Circle the shapes that stack.

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CylinderCube

Rectangular prism Cone

3D Shape Match

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31 A face is _______.

A flat

B curved

C flat and curved

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31 A face is _______.

A flat

B curved

C flat and curved

[This object is a pull tab]

Ans

wer

A

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32 This shape has:

A curved surfacesB flat faces

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32 This shape has:

A curved surfacesB flat faces

[This object is a pull tab]

Ans

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B

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33 A corner is where the edges meet.

True

False

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33 A corner is where the edges meet.

True

False

[This object is a pull tab]

Ans

wer

True

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34 Is the arrow pointing to a corner.

Yes

No

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34 Is the arrow pointing to a corner.

Yes

No

[This object is a pull tab]

Ans

wer

No

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35 If you put a cube on its flat face it will roll.

True

False

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35 If you put a cube on its flat face it will roll.

True

False

[This object is a pull tab]

Ans

wer

False

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Rectangular Prisms & Cubes

Click to return to Table of Contents

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Cube

A cube has 6 square faces all equal in size.

What objects can you think of that are shaped like a cube?

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Rectangular Prism

A rectangular prism has 6 rectangular flat faces.

What objects can you think of that are shaped like a rectangular prism.

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Compare the cube and rectangular prismHow are they alike and different?

Cube vs. Rectangular Prism

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Classroom Hunt

How many cubes or rectangular prisms can you find?

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36 What 3-D shape is this object?A cubeB rectangular prism

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36 What 3-D shape is this object?A cubeB rectangular prism

[This object is a pull tab]

Ans

wer

B

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37 A cube and a rectangular prism have 6 flat sides.

True

False

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37 A cube and a rectangular prism have 6 flat sides.

True

False

[This object is a pull tab]

Ans

wer

True

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38 I am thinking of a 3-D shape that has 6 equal square sides. What shape am I thinking of?A rectangular prismB cube

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38 I am thinking of a 3-D shape that has 6 equal square sides. What shape am I thinking of?A rectangular prismB cube

[This object is a pull tab]

Ans

wer

B

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39 What 3-D shape is this object?

A cube

B rectangular prism

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39 What 3-D shape is this object?

A cube

B rectangular prism

[This object is a pull tab]

Ans

wer

A

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40 What 3-D shape is this object?

A cubeB rectangular prism

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40 What 3-D shape is this object?

A cubeB rectangular prism

[This object is a pull tab]

Ans

wer

A

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Lab: Building Shapes

Use straws and twist ties or marshmallows to build cubes and rectangular prisms.

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Cones, Cylinders, & Spheres

Click to return to Table of Contents

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Cone

What objects can you think of that are shaped like a cone?

A cone is a 3D shape with a curved surface and a flat face.

A cone has a curved surface that comes to a point (vertex).

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Cylinder

What objects can you think of that are shaped like a cylinder?

A cylinder is a solid shape with 1 curved surface and 2 flat faces.

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Compare the cone and the cylinderHow are they alike and different?

Cone vs. Cylinder

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Sphere

What objects can you think of that are shaped like a sphere?

A sphere is a perfectly round 3-D shape. It has no faces.

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Classroom Hunt

How many cones can you find?

How many cylinders can you find?

How many spheres can you find?

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Building Shapes

Using dough, create cones, cylinders and spheres.

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41 Is a basketball a sphere?

Yes

No

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41 Is a basketball a sphere?

Yes

No

[This object is a pull tab]

Ans

wer

Yes

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42 What 3-D shape is this object?

A coneB cylinderC sphere

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42 What 3-D shape is this object?

A coneB cylinderC sphere

[This object is a pull tab]

Ans

wer

A

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43 What 3-D shape is this object?

A coneB sphereC cylinder

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43 What 3-D shape is this object?

A coneB sphereC cylinder

[This object is a pull tab]

Ans

wer

B

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44 A cylinder has a point at the top?

True

False

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44 A cylinder has a point at the top?

True

False

[This object is a pull tab]

Ans

wer

False

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45 What 3-D shape is this object?

A coneB cylinderC sphere

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Slide 166 (Answer) / 242

45 What 3-D shape is this object?

A coneB cylinderC sphere

[This object is a pull tab]

Ans

wer

B

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Review of 3-D Shapes

Click to return to Table of Contents

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CONE

What Shape Am I?

I have one curved surface.I have one flat face.

My one flat face is a circle.What am I?

?

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CONE

What Shape Am I?

I have one curved surface.I have one flat face.

My one flat face is a circle.What am I?

?[This object is a pull tab]

Mat

h Pr

actic

e

MP6 Attend to precision.

Encourage students to think about all attributes of the described shape before

guessing.

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CUBE

What Shape Am I?

I have 6 faces.All of my faces are square.

I have 8 corners.What am I?

?

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CYLINDER

What Shape Am I?

I have 2 flat faces.My flat faces are circular.

I have one curved surface.What am I?

?

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RectangularPrism

What Shape Am I?

I have 6 flat faces.Four of my faces are rectangular.

Two of my faces are square.I have 8 corners.

What am I?

?

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46 Is this shape a cube?

Yes

No

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46 Is this shape a cube?

Yes

No

[This object is a pull tab]

Ans

wer

No

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47 Which shape is a cone?

A

B

C

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47 Which shape is a cone?

A

B

C[This object is a pull tab]

Ans

wer

C

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48 How many flat faces does a cylinder have?

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48 How many flat faces does a cylinder have?

[This object is a pull tab]

Ans

wer

2

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49 This object is a ______.A cubeB rectangular prismC cone

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49 This object is a ______.A cubeB rectangular prismC cone

[This object is a pull tab]

Ans

wer

B

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50 These objects are ______.

Quiz

A cubesB rectangular prismsC cones

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50 These objects are ______.

Quiz

A cubesB rectangular prismsC cones

[This object is a pull tab]

Ans

wer

A

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Slide 181 / 242

Introduction to Fractions

Click to return to Table of Contents

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Whole Cookie Half of a Cookie

Class Vote

Teac

her N

otes

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Whole Cookie

Half of a Cookie

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Whole Cookie

Half of a Cookie

[This object is a pull tab]

Teac

her N

otes Look at the pictures and

discuss the differences. Use the word fraction when

discussing the half of cookie. Such as "this is a fraction of the

whole cookie"

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A whole object can be divided into equal parts.Each equal part is called a fraction.

Fractions

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Circle the shapes that show equal parts.

Equal Parts

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Cut each rectangle into equal parts. Use the dots to help you.Equal Parts

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How many equal parts is each shape split into?Equal Parts

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Equal Parts Gameclick for game

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51 How many equal parts is the rectangle cut into?A 2B 4C 1

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51 How many equal parts is the rectangle cut into?A 2B 4C 1

[This object is a pull tab]

Ans

wer

A

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52 The circle has two equal parts.

True

False

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52 The circle has two equal parts.

True

False

[This object is a pull tab]

Ans

wer

False

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53 How many equal parts is the circle cut into?

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53 How many equal parts is the circle cut into?

[This object is a pull tab]

Ans

wer

4

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54 Which rectangle has 2 equal parts?

A

B

C

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54 Which rectangle has 2 equal parts?

A

B

C

[This object is a pull tab]

Ans

wer

B

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55 How many equal parts is this square cut into?

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55 How many equal parts is this square cut into?

[This object is a pull tab]

Ans

wer

4

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Slide 194 / 242

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Halves

Click to return to Table of Contents

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When you divide something into two equal parts, you divide it in half.

Half

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Two halves equal one wholeIs there any other way to divide a rectangle in half?

=Halves

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Two halves equal one wholeIs there any other way to divide a rectangle in half?

=Halves

[This object is a pull tab]

Mat

h Pr

actic

eMP2 Reason abstractly and

quantitatively.

Have students observe the rectangle on the left. Ask

them is there is another way to make 2 equal parts.

Allow them to share different ways they could

cut a rectangle in half.

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Halves

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Halves

[This object is a pull tab]

Teac

her N

otes

Rotate the halves around to show that a circle can be split

into half in many ways.

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How many different ways can you cut these circles in half.

Halves

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We can also cut a rectangle in half.Halves

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Remember, when we divide an object in half, the two pieces must be equal.

Halves

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Remember, when we divide an object in half, the two pieces must be equal.

Halves

[This object is a pull tab]

Teac

her N

otes

Move the two halves around to show students that they are equal and when put together

equal a whole.

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Each part of the whole is called a fraction.We can use numbers to show fractions as well as words.

one half or of a circle12

12

The top number tells how many parts you are

talking about.

The bottom number tells how many parts in all.

One purple part

Two parts in all

Fractions

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12

12

One blue part

Two parts in all

One green part

Two parts in all

Fractions

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Class Discussion

Kyle is eating half of an apple. Seth is eating the other half of the apple. Seth is

upset because he says that Kyle has more than him. Can he be right?

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Class Discussion

Kyle is eating half of an apple. Seth is eating the other half of the apple. Seth is

upset because he says that Kyle has more than him. Can he be right?

[This object is a pull tab]

Mat

h Pr

actic

e

MP 3 Construct viable arguments and critique the

reasoning of others.

Have students discuss in small groups their opinions. Then

call the class together to discuss the question.

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56 Is this circle divided in half?

Yes

No

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56 Is this circle divided in half?

Yes

No

[This object is a pull tab]

Ans

wer

No

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57 Is this rectangle divided into two equal parts?

Yes

No

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57 Is this rectangle divided into two equal parts?

Yes

No

[This object is a pull tab]

Ans

wer

Yes

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58 Which circle is cut in ?12

A

B

C

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58 Which circle is cut in ?12

A

B

C

[This object is a pull tab]

Ans

wer

B

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59 Which rectangle is cut in ?

A

B

C

12

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59 Which rectangle is cut in ?

A

B

C

12

[This object is a pull tab]

Ans

wer

A

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60 How many parts are there in all when talking about ?1

2

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60 How many parts are there in all when talking about ?1

2

[This object is a pull tab]

Ans

wer

2

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Fourths

Click to return to Table of Contents

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When you divide something into four equal parts, you divide it in fourths or quarters.

Fourths

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Four quarters equal one whole.Is there any other way to cut the

rectangle into fourths?

=Fourths

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Four quarters equal one whole.Is there any other way to cut the

rectangle into fourths?

=Fourths

[This object is a pull tab]

Mat

h Pr

actic

e

MP 8 Look for and express regularity in repeated reasoning.

Ask students to share other ways to cut the rectangle into fourths.

Reinforce that you can cut a shape into fourth by cutting it in 4 EQUAL parts. It does not matter

the direction of the cut.

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one fourth, one quarter or

of a circle14

14

The top number tells how many parts you are

talking about. One purple part

Four parts in all

We can write one fourth in words or numbers.

Fourths

The bottom number tells how many parts in all.

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14

One blue part

Four parts in all

14

14

14

One red part

Four parts in all

One green part

Four parts in all

One yellow part

Four parts in all

Fourths

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Cut each shape into fourths.Fourths

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Color 1/4 of each circle.Fourths

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Color and label 1/4 of each rectangle.Fourths

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61 This circle is cut into fourths?

Yes

No

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61 This circle is cut into fourths?

Yes

No

[This object is a pull tab]

Ans

wer

Yes

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62 of the circle is colored.

True

False

14

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62 of the circle is colored.

True

False

14

[This object is a pull tab]

Ans

wer

False

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63 Is this rectangle divided into quarters?

Yes

No

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63 Is this rectangle divided into quarters?

Yes

No

[This object is a pull tab]

Ans

wer

No

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64 Which rectangle is divided into fourths?

A

B

C

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64 Which rectangle is divided into fourths?

A

B

C

[This object is a pull tab]

Ans

wer

C

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65 One fourth of the rectangle is blue.

True

False

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65 One fourth of the rectangle is blue.

True

False

[This object is a pull tab]

Ans

wer

True

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Review of Fractions

Click to return to Table of Contents

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When you divide something into 2 equal parts, you divide it in half.

When you divide something into 4 equal parts, you divide it into fourths or quarters.

Fourths

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Fractions can be written with words or numbers.

One-Half or

One-Fourth, One-Quarter

or

12

14

Fourths

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A circle can be divided into halves.

Fourths

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A rectangle can be divided into halves.

Fourths

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A circle can be divided into fourths or quarters.

Fourths

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A rectangle can be divided into fourths or quarters.Fourths

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66 Which shape is split into quarters?

A

B

C

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66 Which shape is split into quarters?

A

B

C[This object is a pull tab]

Ans

wer

B

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67 This circle is cut into fourths.

Yes

No

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67 This circle is cut into fourths.

Yes

No

[This object is a pull tab]

Ans

wer

No

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68 How many equal parts are there if a cake is cut in half?

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68 How many equal parts are there if a cake is cut in half?

[This object is a pull tab]

Ans

wer

2

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69 Which rectangle is cut in half?

A

B

C

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69 Which rectangle is cut in half?

A

B

C

[This object is a pull tab]

Ans

wer

A

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70 When cutting a pie into fourths there are two equal pieces.

True

False

Quiz

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70 When cutting a pie into fourths there are two equal pieces.

True

False

Quiz

[This object is a pull tab]

Ans

wer

False

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