Pattern-Block and Template Shapes - Everyday Math · PDF filePattern-Block and Template Shapes...
Transcript of Pattern-Block and Template Shapes - Everyday Math · PDF filePattern-Block and Template Shapes...
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Interactive Teacher’s
Lesson Guide
CurriculumFocal Points
Family Letters
EM Facts Workshop Game™
Algorithms Practice
eToolkitePresentations AssessmentManagement
Common Core State Standards
Lesson 7�3 633
Advance PreparationPlace a set of pattern blocks near the Math Message. Write the following names of the pattern-block
shapes on the board: triangle, square, rhombus, trapezoid, and hexagon.
For the optional Extra Practice activity in Part 3, obtain a copy of Round Is a Mooncake by Roseanne
Thong (Chronicle Books, 2000).
Teacher’s Reference Manual, Grades 1–3 p. 152
Key Concepts and Skills• Count the sides and corners on
plane shapes.
[Number and Numeration Goal 2]
• Identify, describe, and compare plane shapes.
[Geometry Goal 1]
• Compose plane shapes.
[Geometry Goal 1]
Key ActivitiesChildren identify shapes of pattern blocks.
They discuss characteristics of Pattern-Block
Template shapes and sort them into groups
according to common attributes. Children
discuss defining and non-defining attributes
of shapes. They construct plane shapes from
pattern blocks.
Ongoing Assessment: Recognizing Student Achievement Use journal page 140. [Geometry Goal 1]
Key Vocabularytrapezoid � rhombus � side � corner �
square corner � polygon
MaterialsMath Journal 2, pp. 140 and 141
Home Link 7�2
slate � pattern blocks � Pattern-Block
Template � pattern-block shape posters
(optional) � chart paper
Practicing with Fact FamiliesMath Masters, p. 202
Children practice writing fact families.
Math Boxes 7�3Math Journal 2, p. 142
Children practice and maintain skills
through Math Box problems.
Home Link 7�3Math Masters, p. 203
Children practice and maintain skills
through Home Link activities.
READINESS
Guessing the ShapeChildren identify pattern-block shapes
“drawn” on their backs.
ENRICHMENTBuilding and Graphing a Pattern-Block DesignMath Masters, p. 204
pattern blocks � Pattern-Block Template
Children make and graph pattern-block
designs.
EXTRA PRACTICE
Reading About GeometryMath Masters, p. 305
Children read Round is a Mooncake to
practice geometry skills.
ELL SUPPORT
Building a Math Word BankDifferentiation Handbook, p. 126
Children add the terms side and corner
to their Math Word Banks.
Teaching the Lesson Ongoing Learning & Practice Differentiation Options
��������
Pattern-Block and Template Shapes
Objectives To guide the identification of plane shapes; and to
facilitate investigating some of their characteristics.f
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634 Unit 7 Geometry and Attributes
Adjusting the Activity 1. Use your template to draw each shape.
square large triangle small hexagon
trapezoid small triangle fat rhombus
large circle skinny rhombus large hexagon
Pattern-Block Template ShapesLESSON
7�3
Date
�
EM3MJ2_G1_U07_137-150.indd 140 2/3/09 1:16:57 PM
Math Journal 2, p. 140
Student Page
Pattern-Block Template
1 Teaching the Lesson
� Math Message Follow-Up WHOLE-CLASS ACTIVITY
Point to triangle on the board. Ask children who have a triangle block to go to one area of the room. Point to square and have those children with a square go to a second area. Repeat the procedure with trapezoid and hexagon. Children with a rhombus remain seated.
Have children who are standing check with their group to see whether their pattern blocks are all the same size and shape. Have those seated sort their rhombuses by shape. To distinguish between the two rhombuses, give them names such as skinny and fat or identify them by their colors.
Make a poster for each pattern-block shape on a separate sheet of
colored paper and post them around the room. Children stand under the picture
that matches their shape. Write the name on each poster.
A U D I T O R Y � K I N E S T H E T I C � T A C T I L E � V I S U A L
� Identifying Pattern-Block SMALL-GROUP ACTIVITY
Shapes(Math Journal 2, pp. 140 and 141)
Have children use their templates to draw the shapes specified on journal pages 140 and 141. Encourage children to help others in the group identify their shapes.
When children have completed the pages, bring the class together. Review journal page 141, where children drew four shapes with exactly 4 sides and 4 corners.
ELL
Getting Started
Math MessageTake a pattern block. Find another person who has the same pattern-block shape.
Home Link 7�2 Follow-Up
Have children share the objects they found that have triangles, squares, and circles. Collect any objects children brought for the Shapes Museum.
Mental Math and Reflexes Tell the following story problems to children. Have them record solutions on their slates.
Jorge is going sledding, but first he has to stop at his grandmother’s house. It takes Jorge 10 minutes to walk to his grandmother’s house and 10 more minutes to walk to the sledding hill. How many minutes did Jorge walk? 20 minutes
Sophia’s ballet class is 30 minutes long. It takes Sophia 5 minutes to change and 10 minutes to get home. How long will it be before Sophia returns home? 45 minutes
Eduardo likes to bake. Each batch of his cookies takes 7 minutes in the oven. How many minutes will 3 batches take in the oven? 21 minutes
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Lesson 7�3 635
Pattern-Block Template Shapes continuedLESSON
7�3
Date
2. Draw shapes that have exactly 4 sides and 4 corners. Write their names.
square trapezoid
rhombus rhombus
Sample answers: The Pattern-Block Template has 6 quadrilaterals. Children may use any of them.
137-150_EMCS_S_SMJ_G1_U07_576396.indd 141 2/2/11 9:47 AM
Math Journal 2, p. 141
Student Page
Language Arts Link You might
want to point out that the word
polygon comes from the Greek
language: poly- means “many,” and -gon is
derived from gonia, which means “angle.”
There is a more detailed examination of
polygons in the next lesson.
Ask:
● How many straight sides does a triangle have? 3
● How many straight sides does a square have? 4
● How many straight sides does a circle have? 0
● How is a circle different from the other shapes? A circle is curved—it has no straight sides.
Draw three different triangles on the board, similar to those shown below, each colored and/or shaded differently from the others. Label one side and one corner (a corner is a point where two sides meet) of one of these triangles.
side corner
Make two columns on a piece of chart paper. Ask: What do these triangles have in common? Sample answers: They have three corners. They have three straight sides. They are flat. They are polygons. Write these common attributes in the first column. Ask: What is different about the triangles? Sample answers: They are shaded differently. They point different ways. They are different sizes. Write these attributes in the second column. Ask: Even though they look different, are all 3 shapes still triangles? yes Explain that this is because the attributes in the first column help define these shapes as triangles. The attributes in the second column could be true of shapes that are not triangles. They don’t help explain what triangles are. Label the first column Defining Attributes of Triangles, and the second Non-Defining Attributes.
Discuss how the shapes that are not circles are alike and different.
� Each shape is made up of straight sides.
� Each shape has corners.
� Each shape has as many sides as it has corners.
� The numbers of sides and corners vary from shape to shape. For example, hexagons have 6 sides and corners; and squares, trapezoids, and rhombuses each have 4 sides and corners.
� The corners of the square are the “same shape” as the corners of books. Such corners are called square corners.
� The hexagon corners are “bigger” than the square corners.
� The triangle corners are “smaller” than the square corners.
Explain that each of these shapes is a polygon. A polygon is a shape with all straight sides that touch only at their endpoints.
After discussing polygons, give each group four pattern blocks of each shape. Tell children that they may use these shapes to make new shapes. For example, children may combine 2 trapezoids to make a hexagon or may put 4 triangles around a square to make a composite shape resembling a flower.
Have children make several composite shapes from pattern blocks and trace these new shapes onto paper. A child may hold the
NOTE All triangles have these attributes
in common: They are polygons, they
have 3 sides and 3 corners, and they are
2- dimensional (or flat). Discuss whether any
other common attributes that children suggest
help define the shapes as triangles. For
instance, if you have drawn all of the triangles
with white chalk, help children understand that
being drawn with white chalk is not an attribute
that defines the shape as a triangle. Triangles
can be any color and still be triangles.
Ongoing Assessment: Recognizing Student Achievement Journal
Page 140 �
Use journal page 140 to assess children’s
ability to identify 2- dimensional shapes.
Children are making adequate progress if
they are able to identify circles, squares,
and triangles. Some children may be able to
identify other plane shapes.
[Geometry Goal 1]
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636 Unit 7 Geometry and Attributes
1. Find the small square. Shade it.
2. Find the sums. Circle the odd sums.
7 8 + 9 + 3
6 + 7 =
= 10 + 4
3. Draw and solve. There are 8 balloons. 4 balloons pop. How many balloons are left? Fill in the circle next to the
best answer. A. 0 B. 6 C. 4 D. 12
4. Show 81¢ in two ways. Use ‰, Í, Â, and Î.
Math Boxes LESSON
7�3
Date
96–97
88–89
Sample drawing:
Sample answers:‰‰‰ÂÎ
or‰ÍÍÍÍÍÂÎ
16 11
1314
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Math Journal 2, p. 142
Student Page
LESSON
7� 3
Name Date
Fact Triangles and Fact Dominoes
Write the fact families. 1. 2.
+ = + =
+ = + =
- = - =
- = - =
3. Write the fact family. + =
+ =
- =
- = 8614681414861468
99 444
565
611115611
1313
1391394
11
655 6
11+,-
4 9
13+,-
4. Make up your own domino. Draw the dots. Write the fact family.
+ = + = - = - = Answers vary.
196-220_EMCS_B_MM_G1_U07_576930.indd 202 2/2/11 10:10 AM
Math Masters, p. 202
Teaching Master
Links to the Future
2 Ongoing Learning & Practice
� Practicing with Fact Families INDEPENDENTACTIVITY
(Math Masters, p. 202)
Use Math Masters, page 202 to provide practice with fact families.
� Math Boxes 7�3 INDEPENDENTACTIVITY
(Math Journal 2, p. 142)
Mixed Practice Math Boxes in this lesson are paired with Math Boxes in Lesson 7-1. The skills in Problem 4 preview Unit 8 content.
Writing/Reasoning Have children draw, write, or verbalize an answer to the following question: What is arectangle? A reasonable answer should describe a shapewith 4 sides and 4 corners.
One child’s work in response to the Writing/Reasoning prompt
� Home Link 7�3 INDEPENDENTACTIVITY
(Math Masters, p. 203)
Home Connection Children name pattern-block shapes.
NOTE You may wish to review the inverse
relationship between addition and subtraction
before children complete Math Masters,
page 202.
blocks in place while another child traces the outline. Small groups may also combine two or more of their composite shapes into another new shape to trace. After each group has made several shapes, ask them to share some shape outlines with the class. Have children in other groups consider which pattern blocks each group used to compose the new shape.
In this lesson, children name and describe rhombuses and trapezoids. Children
will continue to work with these shapes, as well as others, throughout the year.
The Grade 2 Goal is that children identify, describe, and model plane figures
including circles, triangles, squares, rectangles, hexagons, rhombuses, and
trapezoids.
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We are beginning to identify polygons and their characteristics. A polygon is a closed 2-dimensional figure. It is formed by three or more line segments that meet only at their endpoints.
On this page, your child will try to name the shapes we worked with today. Some of the names may still be confusing.
Please return this Home Link to school tomorrow.
Family Note
HOME LINK
7�3
Name Date
Polygons
1. Use the Word List to help you write the name of each shape.
square rhombus hexagon
trapezoid triangle rhombusPractice
2. Write the fact family for this domino.
+ = + =
+ = + = 16776161
Word List
hexagon rhombus square trapezoid triangle
52–55
716 7
EM3MM_G1_U07_196-220.indd 203 2/11/10 2:41 PM
Math Masters, p. 203
Home Link Master
LESSON
7�3
Name Date
Shapes Bar Graph
Shapes I Used
Shape
Num
ber U
sed
0
1
2
3
4
5
6
7
8
9
10
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Math Masters, p. 204
Teaching Master
Lesson 7�3 637
3 Differentiation Options
READINESS PARTNER ACTIVITY
� Guessing the Shape 5–15 Min
To provide experience with identifying pattern-block shapes, have children take turns using their finger to “draw” a pattern-block shape on their partner’s back. The partner then tries to guess the shape.
ENRICHMENT
INDEPENDENTACTIVITY
� Building and Graphing a 30+ Min
Pattern-Block Design(Math Masters, p. 204)
To explore polygon relationships, have children create a design using pattern-block shapes. They can use their Pattern-Block Templates to record their designs on a piece
of paper. Then explain how to graph the number of pattern-block shapes children used in their designs. Tell them to shade boxes on the graph to show how many of each shape they used. Ask questions about children’s graphs, such as the following: What shape did you use the most? The least? How do you know? How many squares (or any other shape) did you use? How many blocks did you use in all?
EXTRA PRACTICE SMALL-GROUP ACTIVITY
� Reading About Geometry 5–15 Min
(Math Masters, p. 305)
Literature Link To provide practice with geometry skills, read Round Is a Mooncake by Roseanne Thong
(Chronicle Books, 2000). On an Exit Slip (Math Masters, page 305), have children draw a square and a rectangle that they see in the classroom.
ELL SUPPORT SMALL-GROUP ACTIVITY
� Building a Math Word Bank 5–15 Min
(Differentiation Handbook, p. 126)
To provide language support for geometry concepts, have children use the Word Bank Template found on Differentiation Handbook, page 126. Ask children to write the terms side and corner, draw pictures representing the terms, and write other words that describe them. See the Differentiation Handbook for more information.
NOTE For the Enrichment activity, instead
of shading boxes on the graph, you may
wish to have children make picture graphs by
drawing pictures of each block they used in
their designs. Ask questions about the graphs
and encourage children to pose their own
questions based on the data.
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