color to sort the shapes into three groups.curriculum.hempfieldsd.org/mathematics/01. grade...
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Geometry
Reason with shapes and their attributes.
Lesson 86 CC.1.G.1 Three-Dimensional Shapes 171Lesson 87 CC.1.G.1 Two-Dimensional Shapes on
Three-Dimensional Shapes 173Lesson 88 CC.1.G.1 Sort Two-Dimensional Shapes 175Lesson 89 CC.1.G.1 Describe Two-Dimensional Shapes 177Lesson 90 CC.1.G.2 Combine Three-Dimensional Shapes 179Lesson 91 CC.1.G.2 Make New Three-Dimensional Shapes 181Lesson 92 CC.1.G.2 Problem Solving • Take Apart
Three-Dimensional Shapes 183Lesson 93 CC.1.G.2 Combine Two-Dimensional Shapes 185Lesson 94 CC.1.G.2 Combine More Shapes 187Lesson 95 CC.1.G.2 Problem Solving • Make New
Two-Dimensional Shapes 189Lesson 96 CC.1.G.2 Find Shapes in Shapes 191Lesson 97 CC.1.G.2 Take Apart Two-Dimensional Shapes 193Lesson 98 CC.1.G.3 Equal or Unequal Parts 195Lesson 99 CC.1.G.3 Halves 197Lesson 100 CC.1.G.3 Fourths 199
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LESSON 86 CC.1.G.1
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Three-Dimensional ShapesOBJECTIVE Identify and describe three-dimensional shapes according to defining attributes.
curved surface curved and flat surfaces
sphere cone cylinder
flat surfaces
rectangular prism cube
Color to sort the shapes into three groups.
1. only flat surfaces
2. only a curved surface
3. both curved and flat surfaces
cone
sphere rectangular prism
cube cylinder
cube, rectangular prism
sphere
cone, cylinder
Geometry 171
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Three-Dimensional ShapesUse three-dimensional shapes. Write the number of flat surfaces for each shape.
1. A cylinder has flat surfaces.
2. A rectangular prism has flat surfaces.
3. A cone has flat surface.
4. A cube has flat surfaces.
Problem Solving
5. Circle the object that matches the clue.Mike finds an object that has only a curved surface.
2
6
6
1
172 Lesson 86
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rectangle squarecircle
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LESSON 87 CC.1.G.1
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Two-Dimensional Shapes on Three-Dimensional ShapesOBJECTIVE Identify two-dimensional shapes on three-dimesional shapes.
Look at the shape. Circle the flat surfaces it has.
1.
2.
3.
Geometry 173
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Two-Dimensional Shapes on Three-Dimensional ShapesCircle the objects you could trace to draw the shape.
1.
2.
3.
Problem Solving
4. Look at this shape. Draw the shape you would make if you traced this object.
174 Lesson 87
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Read the sorting rule. Circle the shapes that follow the rule.
1. 4 sides
2. curved and closed
3. 3 vertices
Sort Two-Dimensional ShapesOBJECTIVE Use defining attributes to sort shapes.
LESSON 88
Circles are curved and closed.
A square is a special kind of
rectangle.
Rectangles have 4 sides and 4 vertices.
Triangles have 3 sides and 3 vertices.
Geometry 175
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Sort Two-Dimensional ShapesRead the sorting rule. Circle the shapes that follow the rule.
1. not curved 2. 4 vertices
3. more than 3 sides 4. curved
Problem Solving
5. Katie sorted these shapes. Write a sorting rule to tell how Katie sorted.
3 vertices
176 Lesson 88
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side
vertex
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Write the number of straight sides or vertices.
1. triangle
sides
2. square
vertices
3. hexagon
vertices
4. trapezoid
sides
5. triangle
vertices
6. square
sides
Describe Two-Dimensional ShapesOBJECTIVE Describe attributes of two-dimensional shapes.
LESSON 89
This shape has 4 straight sides and 4 vertices.
3
6
4
4
3 4
Geometry 177
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Describe Two-Dimensional Shapes
Use to trace each straight side. Use to circle each vertex. Write the number of sides and vertices.
1.
sides
vertices
2.
sides
vertices
3.
sides
vertices
4.
sides
vertices
5.
sides
vertices
6.
sides
vertices
Problem Solving
Draw a shape to match the clues.
7. Ying draws a shape with 4 sides. She labels it as a rectangle.
6
6
4
4
4
4
3
3
34
4 3
All straight sides should be traced blue. All vertices should be circled red.
Children should draw a rectangle.
178 Lesson 89
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Put shapes together to make a new shape.
Use three-dimensional shapes.
Combine.Which new shapes can you make? Circle them.
1.
2.
and do not make this shape.
Combine Three-Dimensional ShapesOBJECTIVE Compose a new shape by combining three-dimensional shapes.
LESSON 90
Geometry 179
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Combine Three-Dimensional ShapesUse three-dimensional shapes.
Combine.Which new shape can you make? Circle it.
1.
2.
3.
Problem Solving
4. Circle the shapes you coulduse to model the bird feeder.
180 Lesson 90
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Build a shape. Copy the shape.
Combine them. Circle a new shape you can make.
Use three-dimensional shapes.
Build these shapes.
Circle the new shape you can make. Cross out the shape you cannot make.
1.
2.
You cannot make this new shape. The first shapes did
not stay the same.
Make New Three-Dimensional ShapesOBJECTIVE Use composite three-dimensional shapes to build new shapes.
LESSON 91
Geometry 181
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Make New Three-Dimensional ShapesUse three-dimensional shapes.
Build and Repeat.Combine. Which new shape can you make? Circle it.
1.
2.
3.
Problem Solving
4. Dave builds this shape.Then he repeats and combines. Draw a shape he can make.
Check children’s work.
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Kate has , , , and . She built a tower. Which shapes did Kate use to build the tower?
Unlock the Problem
What do I need to find?
which Kate used to build the tower
What information do I need to use?
Kate has these shapes.
Show how to solve the problem. Find the matching shapes.
Use three-dimensional shapes. Circle your answer.
1. Which shapes did Marvin use to build this bench?
Problem Solving • Take Apart Three-Dimensional ShapesOBJECTIVE Identify three-dimensional shapes used to build a composite shape
using the strategy act it out.
LESSON 92
shapes
Geometry 183
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Problem Solving • Take Apart Three-Dimensional ShapesUse three-dimensional shapes. Circle your answer.
1. Paco used shapes to build this robot. Circle the shapes he used.
2. Eva used shapes to build this wall. Circle the shapes she used.
Problem Solving
3. Circle the ways that show the same shape.
184 Lesson 92
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You can put shapes together to make a new shape.
Use pattern blocks. Draw to show the blocks. Write how many blocks you used.
1. How many make a ?
make a .
2. How many make a ?
make a .
make
a .
Combine Two-Dimensional ShapesOBJECTIVE Use objects to compose new two-dimensional shapes.
LESSON 93
3
2
3
Geometry 185
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Combine Two-Dimensional ShapesUse pattern blocks. Draw to show the blocks. Write how many blocks you used.
1. How many make a ?
make a .
2. How many make a ?
make a .
Problem Solving
Use pattern blocks. Draw to show your answer.
3. 2 make a .
How many make 4 ?
make 4 .
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Check children’s drawings.
186 Lesson 93
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Combine shapes to make a new shape.
2 Shapes Combine New Shape
Circle the shapes that can combine to make the new shape.
1.
2.
3.
Combine More ShapesOBJECTIVE Compose a new shape by combining two-dimensional shapes.
LESSON 94
Geometry 187
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Combine More ShapesCircle two shapes that can combine to make the shape on the left.
1.
2.
3.
Problem Solving
4. Draw lines to show how the shapes on the left combine to make the new shape.
188 Lesson 94
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Luis wants to use to make a .
How many does he need?
Unlock the Problem
What do I need to find?
how Luis can make a
using
What information do I need to use?
Luis uses
Show how to solve the problem.
make a .
Use shapes to solve. 1. Meg wants to use
to make a .
make a .
Problem Solving • Make New Two-Dimensional ShapesOBJECTIVE Make new shapes from composite two-dimensional shapes
using the strategy act it out.
LESSON 95
2
Check children’s drawings. 3 triangles make a trapezoid.
3
Geometry 189
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Problem Solving • Make New Two-Dimensional ShapesUse shapes to solve. Draw to show your work.
1. Use to make a .Step 1. Combine shapes to make a new shape.
Step 2. Then use the new shape.
2. Use to make a .Step 1. Combine shapes to make a new shape.
Step 2. Then use the new shape.
and
and
and
and
make
make
make
make
Lines drawn may vary.
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Find Shapes in ShapesOBJECTIVE Decompose combined shapes into shapes.
LESSON 96
Which two pattern blocks make this shape?
Use two pattern blocks to make the shape. Circle the blocks you use.
1. 2.
3. 4.
Geometry 191
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5. Make the shape to the right. Use the number of pattern blocks listed in the exercise. Write how many of each block you use. Use 3 blocks.
Find Shapes in Shapes
Use two pattern blocks to make the shape. Draw a line to show your model. Circle the blocks you use.
1. 2.
3. 4.
Problem Solving
2 1 0 0
Possible answer shown.
Lines drawn may vary.
192 Lesson 96
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Take Apart Two-Dimensional ShapesOBJECTIVE Decompose two-dimensional shapes into parts.
LESSON 97
Use pattern blocks to help you find the parts of a shape.
Use 2 to find parts of .
Draw a line to show the parts.
Use pattern blocks. Draw a line to show the parts.
1. Show 2 . 2. Show 2 .
3. Show 2 . 4. Show 2 .
Geometry 193
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Take Apart Two-Dimensional ShapesDraw a line to show the parts.
1. Show 2 . 2. Show 2 .
3. Show 1 and 1 . 4. Show 1 and 1 .
Problem Solving
5. How many triangles are there?
triangles5
4 small triangles.1 large triangle.
Possible answers are shown.
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Equal or Unequal PartsOBJECTIVE Identify equal and unequal parts (or shares) in two-dimensional shapes.
LESSON 98
Equal Parts or Equal Shares
Unequal Parts or Unequal Shares
Circle the shapes that show equal parts. Cross out the shapes that show unequal parts.
1. 2.
3. 4.
The parts are not the same size.
The parts are the same size.
Geometry 195
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Equal or Unequal PartsColor the shapes that show unequal shares.
1.
Color the shapes that show equal shares.
2.
Problem Solving
Draw lines to show the parts.
3. 4 equal shares
Possible answers shown.
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HalvesOBJECTIVE Partition circles and rectangles into two equal shares.
LESSON 99
How can you show halves?
Draw a line to show halves. Write the numbers.
1.
whole halves
2.
whole halves
whole equal shares or
halves
2
2
1
Possible answers shown.
1
1 2
2
Geometry 197
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Draw or write to solve.
10. Kate cut a square into equal shares. She traced one of the parts. Write half of or halves to name the part.
a square
HalvesCircle the shapes that show halves.
1. 2. 3.
4. 5. 6.
7. 8. 9.
Problem Solving
CC.1.G.3
Possible answers shown.
half of
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FourthsOBJECTIVE Partition circles and rectangles into four equal shares.
LESSON 100
How can you show fourths?
Draw lines to show fourths. Write the number.
1.
whole fourths
Draw lines to show quarters. Write the number.
2.
whole quarters
whole fourthsor
quarters
4
4
1 There are 4 equal shares.
Possible answers shown.
1
1 4
4
Geometry 199
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Solve.
10. Chad drew a picture to show a quarter of a circle. Which shape did Chad draw? Circle it.
FourthsCircle the shapes that show fourths.
1. 2. 3.
4. 5. 6.
7. 8. 9.
Problem Solving
CC.1.G.3
200 Lesson 100
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SKILL S1
Same NumberOBJECTIVE Identify sets that have the same number of objects.
You can match objects in two sets. If each object has a match without any left over, then the two sets have the same number of objects.
Use and to show two sets of objects that have the same number of objects. Draw to show your work.
STEP 1Show 5 in a row.
STEP 2Show a for each .
There is 1 for each , so the sets have the same number of objects.
STEP 3Draw lines to match.
Try This!Show that the sets have the same number of objects. Draw a line to match each to a .
1. 2.
Skill S1 S1