2 Dimensional Shapes Click to return to Click here for a song - - PDF document

Slide 1 / 242 Slide 2 / 242

1st Grade

Geometry

2015-11-30 www.njctl.org

Slide 3 / 242 Table of Contents

2 Dimensional Shapes Sides and Corners Open and Closed Shapes Sorting by Attributes Composite Shapes Orientation Faces and Corners Rectangular Prisms & Cubes Cones, Cylinders & Spheres Introduction to Fractions Halves Fourths Review of Fractions Review of 3-D Shapes

Click to go to topic

Lab: Shape Fun Lab: Building Shapes Lab: I Can Find a Shape Like That

Slide 4 / 242

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.

Slide 5 / 242

2 Dimensional Shapes

Click to return to Table of Contents

Slide 6 / 242

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

Slide 7 / 242

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

2D Shapes

I 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.

Slide 8 / 242

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.

Slide 9 / 242

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 Slide 10 / 242

Are both of these shapes rectangles?

2D Shapes Slide 11 / 242

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

2D Shapes

I am a triangle. I have three straight sides and three corners.

Slide 12 / 242

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

2D Shapes

I am a hexagon. I have six straight sides and six corners.

Slide 13 / 242

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 Slide 14 / 242

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

2D Shapes Slide 15 / 242

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 Slide 16 / 242 Shape Pictures Slide 17 / 242

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

Hidden Shapes Slide 18 / 242 1 Is this shape a square? Yes No

Slide 19 / 242 2 Is this shape a triangle? Yes No Slide 20 / 242 3 What is the name of this shape? A square B rectangle C trapezoid Slide 21 / 242 4 What is the name of this shape? A circle B triangle C trapezoid Slide 22 / 242 5 How many circles do you see? Slide 23 / 242 Slide 24 / 242

Slide 25 / 242

Sides and Corners

Click to return to Table of Contents

Slide 26 / 242

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

Sides Slide 27 / 242

How many sides does each shape have? Rhombus Pentagon

Sides Slide 28 / 242

Can you count the sides? Triangle Trapezoid

Sides Slide 29 / 242

How many sides? Hexagon Square

Sides Slide 30 / 242

A shape can have curved or straight lines Curved Straight

Sides

Slide 31 / 242

Put an X on the shapes with curved sides.

Sides Slide 32 / 242

Circle the shapes with straight sides.

Sides Slide 33 / 242

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

Corners Slide 34 / 242

How many corners does each shape have? Rhombus Pentagon

Corners Slide 35 / 242

Count the vertices. Triangle Trapezoid

Corners Slide 36 / 242

How many corners? Hexagon Square

Corners

Slide 37 / 242

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

?

Slide 38 / 242

triangle I am made with straight lines. I have three sides. I have three vertices. What am I?

?

Name The Shape Slide 39 / 242

Circle I am made with curved lines. I do not have corners or sides. I am round. What am I?

?

Name The Shape Slide 40 / 242

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 Slide 41 / 242

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

?

Name The Shape Slide 42 / 242

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

Class Discussion

Slide 43 / 242 6 How many sides does a square have? Slide 44 / 242 7 Does a circle have curved or straight sides? A Curved B Straight Slide 45 / 242 8 Does a rectangle have 3 corners? Yes No Slide 46 / 242 9 How many corners does a trapezoid have? Slide 47 / 242 10 How many sides does a triangle have? A 2 B 3 C 4 Slide 48 / 242

Slide 49 / 242 Slide 50 / 242

Open and Closed Shapes

Click to return to Table of Contents

Slide 51 / 242

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 Slide 52 / 242

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

Open or Closed Slide 53 / 242

Is this shape open or closed? Explain why. How could we make it closed?

Open or Closed Slide 54 / 242

Draw an open shape with 3 straight sides.

Open

Slide 55 / 242

Draw a closed shape with 6 sides.

Closed Slide 56 / 242

Draw a closed shape with curved sides.

Closed Slide 57 / 242

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

Open or Closed Slide 58 / 242 11 This shape is closed. True False Slide 59 / 242 12 Karen said this shape is open. Is she correct? Yes No Slide 60 / 242 13 Sue saw an open shape while driving in the car. Which shape did she see? A B C

Slide 61 / 242 14 Which two shapes are closed? A B C D Slide 62 / 242 15 Is this shape open? Yes No

Quiz

Slide 63 / 242 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.

Slide 64 / 242 Slide 65 / 242 Slide 66 / 242

Sorting by Attributes

Click to return to Table of Contents

Slide 67 / 242

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 Slide 68 / 242

Small Large

Sorting by Size Slide 69 / 242

Circle Rectangle Square Triangle

Sorting by Shape Slide 70 / 242

Red Yellow Blue

Sorting by Color Slide 71 / 242 Sort the shapes by their size Slide 72 / 242 Sort the shapes by their shape

Slide 73 / 242

Is there any other way to sort the shapes?

Sorting Slide 74 / 242

We can make patterns using different attributes. Color pattern: Shape pattern: Size pattern:

Sorting Patterns Slide 75 / 242 16 John sorted his blocks. Jimmy told him he liked how he sorted them by their color. Is Jimmy correct? Yes No Slide 76 / 242 17 These shapes are shorted by which attribute? A color B shape C size Slide 77 / 242 18 Kim sorted her blocks. Which attribute did she sort by? A color B shape C size Slide 78 / 242 19 These shapes are shorted by which attribute? A color B shape C size

Slide 79 / 242 20 This pattern follows which attribute?

Quiz

A color B shape C size Slide 80 / 242 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.

Slide 81 / 242 Slide 82 / 242 Slide 83 / 242

Composite Shapes

Click to return to Table of Contents

Slide 84 / 242

You can use shapes to build new shapes. Which small shape do you see? What is the larger shape?

Composite Shapes

Slide 85 / 242

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

Composite Shapes Slide 86 / 242

How many trapezoids did you use?

Composite Shapes

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

Slide 87 / 242

Use your pattern blocks to arrange triangles to make a rhombus. How many triangles did you use?

Composite Shapes Slide 88 / 242

Use your pattern blocks to arrange rhombuses to make a hexagon. How many rhombuses did you use?

Composite Shapes Slide 89 / 242

Use your pattern blocks to arrange triangles to make a hexagon. How many triangles did you use?

Composite Shapes Slide 90 / 242

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

Composite Shapes

Slide 91 / 242

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

Composite Shapes Slide 92 / 242

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

Composite Shapes Slide 93 / 242

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

Composite Shapes Slide 94 / 242

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

Composite Shapes Slide 95 / 242 21 Can you make a rhombus with two triangles? Yes No Slide 96 / 242 22 There are three triangles in this trapezoid. True False

Slide 97 / 242 23 Which two shapes were used to make this shape? A B C Slide 98 / 242 24 Which two shapes were used to make this shape? A B C Slide 99 / 242 25 Which three shapes were used to make this shape? A B C D Slide 100 / 242 Slide 101 / 242 Slide 102 / 242

Orientation

Click to return to Table of Contents

Slide 103 / 242 Front and Behind Slide 104 / 242 Slide 105 / 242 Over, Under, Above, and Below Slide 106 / 242 Top, Middle and Bottom Slide 107 / 242 Left and Right Slide 108 / 242 Build a Tower

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

Slide 109 / 242

The boy is between the girls. Can you find the boy? (Erase to reveal.)

Between Slide 110 / 242

Put the sun over the mountain.

Over Slide 111 / 242

Put the dog on the sidewalk.

On Slide 112 / 242

Put the bee inside the jar.

Inside Slide 113 / 242

Put the birds above the cloud.

Above Slide 114 / 242

Put the fish below the boat.

Below

Slide 115 / 242

The bear is under the bed. Can you find the bear? (Erase to reveal.)

Under Slide 116 / 242

Put the bread outside the cart.

Outside Slide 117 / 242 26 Is the bear behind the chair? Yes No Slide 118 / 242 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 Slide 119 / 242 28 Which animal is above the house? A B C Slide 120 / 242 29 Which animal is in the middle? A B C

Slide 121 / 242 30 True False The boy is on the left of the desk. Slide 122 / 242 Slide 123 / 242 Slide 124 / 242

Faces and Corners

Click to return to Table of Contents

Slide 125 / 242

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 Slide 126 / 242

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

3D Shapes

Slide 127 / 242

3-D shapes can also have curved surfaces. Shapes with curved surfaces can roll.

3D Shapes Slide 128 / 242

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 Slide 129 / 242

What shape is each flat side?

3D Shapes Slide 130 / 242 Match

Name

Shape Flat side

• 1. rectangular prism
• 2. cube
• 3. cylinder
• 4. cone

Slide 131 / 242

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

3D Shapes Slide 132 / 242

Shape Corners Flat Faces Rolls Stacks

8 6

no yes

Complete the chart by observing your 3-D shapes

3D Shapes

Slide 133 / 242

Circle the shapes that roll. Circle the shapes that have flat sides. Circle the shapes that have corners. Circle the shapes that stack.

Slide 134 / 242

Cylinder

Cube

Rectangular prism

Cone

3D Shape Match Slide 135 / 242 31 A face is _______. A flat B curved C flat and curved Slide 136 / 242 32 This shape has: A curved surfaces B flat faces Slide 137 / 242 33 A corner is where the edges meet. True False Slide 138 / 242 34 Is the arrow pointing to a corner. Yes No

Slide 139 / 242 35 If you put a cube on its flat face it will roll. True False Slide 140 / 242 Slide 141 / 242 Slide 142 / 242

Rectangular Prisms & Cubes

Click to return to Table of Contents

Slide 143 / 242 Cube

A cube has 6 square faces all equal in size. What objects can you think of that are shaped like a cube?

Slide 144 / 242 Rectangular Prism

A rectangular prism has 6 rectangular flat faces. What objects can you think of that are shaped like a rectangular prism.

Slide 145 / 242

Compare the cube and rectangular prism How are they alike and different?

Cube vs. Rectangular Prism Slide 146 / 242 Classroom Hunt

How many cubes or rectangular prisms can you find?

Slide 147 / 242 36 What 3-D shape is this object? A cube B rectangular prism Slide 148 / 242 37 A cube and a rectangular prism have 6 flat sides. True False Slide 149 / 242 38 I am thinking of a 3-D shape that has 6 equal square sides. What shape am I thinking of? A rectangular prism B cube Slide 150 / 242 39 What 3-D shape is this object? A cube B rectangular prism

Slide 151 / 242 40 What 3-D shape is this object? A cube B rectangular prism Slide 152 / 242 Lab: Building Shapes

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

Slide 153 / 242 Slide 154 / 242 Slide 155 / 242

Cones, Cylinders, & Spheres

Click to return to Table of Contents

Slide 156 / 242 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).

Slide 157 / 242 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.

Slide 158 / 242

Compare the cone and the cylinder How are they alike and different?

Cone vs. Cylinder Slide 159 / 242 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.

Slide 160 / 242 Classroom Hunt

How many cones can you find? How many cylinders can you find? How many spheres can you find?

Slide 161 / 242 Building Shapes

Using dough, create cones, cylinders and spheres.

Slide 162 / 242 41 Is a basketball a sphere? Yes No

Slide 163 / 242 42 What 3-D shape is this object? A cone B cylinder C sphere Slide 164 / 242 43 What 3-D shape is this object? A cone B sphere C cylinder Slide 165 / 242 44 A cylinder has a point at the top? True False Slide 166 / 242 45 What 3-D shape is this object? A cone B cylinder C sphere Slide 167 / 242 Slide 168 / 242

Slide 169 / 242

Review of 3-D Shapes

Click to return to Table of Contents

Slide 170 / 242

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?

?

Slide 171 / 242

CUBE

What Shape Am I?

I have 6 faces. All of my faces are square. I have 8 corners. What am I?

?

Slide 172 / 242

CYLINDER

What Shape Am I?

I have 2 flat faces. My flat faces are circular. I have one curved surface. What am I?

?

Slide 173 / 242

Rectangular Prism

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?

?

Slide 174 / 242 46 Is this shape a cube? Yes No

Slide 175 / 242 47 Which shape is a cone? A B C Slide 176 / 242 48 How many flat faces does a cylinder have? Slide 177 / 242 49 This object is a ______. A cube B rectangular prism C cone Slide 178 / 242 50 These objects are ______.

Quiz

A cubes B rectangular prisms C cones Slide 179 / 242 Slide 180 / 242

Slide 181 / 242

Introduction to Fractions

Click to return to Table of Contents

Slide 182 / 242

Whole Cookie Half of a Cookie

Class Vote

Teacher Notes

Slide 183 / 242

Whole Cookie Half of a Cookie

Slide 184 / 242

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

Fractions Slide 185 / 242

Circle the shapes that show equal parts.

Equal Parts Slide 186 / 242

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

Equal Parts

Slide 187 / 242

How many equal parts is each shape split into?

Equal Parts Slide 188 / 242

Equal Parts Game

click for game

Slide 189 / 242 51 How many equal parts is the rectangle cut into? A 2 B 4 C 1 Slide 190 / 242 52 The circle has two equal parts. True False Slide 191 / 242 53 How many equal parts is the circle cut into? Slide 192 / 242 54 Which rectangle has 2 equal parts? A B C

Slide 193 / 242 55 How many equal parts is this square cut into? Slide 194 / 242 Slide 195 / 242 Slide 196 / 242

Halves

Click to return to Table of Contents

Slide 197 / 242

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

Half Slide 198 / 242

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

=

Halves

Slide 199 / 242 Halves Slide 200 / 242

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

Halves Slide 201 / 242

We can also cut a rectangle in half.

Halves Slide 202 / 242

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

Halves Slide 203 / 242

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

• ne half or of a circle

1 2

1 2

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 Slide 204 / 242

1 2

1 2

One blue part Two parts in all One green part Two parts in all

Fractions

Slide 205 / 242 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?

Slide 206 / 242 56 Is this circle divided in half? Yes No Slide 207 / 242 57 Is this rectangle divided into two equal parts? Yes No Slide 208 / 242 58 Which circle is cut in ? 1 2 A B C Slide 209 / 242 59 Which rectangle is cut in ? A B C 1 2 Slide 210 / 242 60 How many parts are there in all when talking about ? 1 2

Slide 211 / 242 Slide 212 / 242 Slide 213 / 242

Fourths

Click to return to Table of Contents

Slide 214 / 242

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

Fourths Slide 215 / 242

Four quarters equal one whole. Is there any other way to cut the rectangle into fourths?

=

Fourths Slide 216 / 242

• ne fourth, one quarter or
• f a circle

1 4

1 4

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.

Slide 217 / 242

1 4

One blue part Four parts in all

1 4 1 4 1 4

One red part Four parts in all One green part Four parts in all One yellow part Four parts in all

Fourths Slide 218 / 242

Cut each shape into fourths.

Fourths Slide 219 / 242

Color 1/4 of each circle.

Fourths Slide 220 / 242

Color and label 1/4 of each rectangle.

Fourths Slide 221 / 242 61 This circle is cut into fourths? Yes No Slide 222 / 242 62 of the circle is colored. True False 1 4

Slide 223 / 242 63 Is this rectangle divided into quarters? Yes No Slide 224 / 242 64 Which rectangle is divided into fourths? A B C Slide 225 / 242 65 One fourth of the rectangle is blue. True False Slide 226 / 242 Slide 227 / 242 Slide 228 / 242

Review of Fractions

Click to return to Table of Contents

Slide 229 / 242

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 Slide 230 / 242

Fractions can be written with words or numbers. One-Half or One-Fourth, One-Quarter

• r

1 2 1 4

Fourths Slide 231 / 242

A circle can be divided into halves.

Fourths Slide 232 / 242

A rectangle can be divided into halves.

Fourths Slide 233 / 242

A circle can be divided into fourths or quarters.

Fourths Slide 234 / 242

A rectangle can be divided into fourths or quarters.

Fourths

Slide 235 / 242 66 Which shape is split into quarters? A B C Slide 236 / 242 67 This circle is cut into fourths. Yes No Slide 237 / 242 68 How many equal parts are there if a cake is cut in half? Slide 238 / 242 69 Which rectangle is cut in half? A B C Slide 239 / 242 70 When cutting a pie into fourths there are two equal pieces. True False

Quiz

Slide 240 / 242

Slide 241 / 242 Slide 242 / 242