Mathematics Curriculum Guide

Patterns, Relations and Functions

Grade 3

In the Area of: Patterns, Relations, & Functions

1

 

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  Describe examples of patterns in home or school environment. Point out easily discerned patterns in floor, ceiling, etc. Relate to clothing designs, etc.

 

- Work with partner to list as many patterns as they can think of.

- Play Connections game.

  Design a shoelace, hair barrette, or belt with unique, creative pattern.

 

- Chart paper.

- Connection Game - Dale Seymour.

Grade 3

In the Area of: Patterns, Relations, & Functions

2

 

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  Describe and extend patterns. Creates patterns for small group work using Pattern Block stickers. Work in small groups to generate description of pattern (to record in journal). Then copy and extend pattern with stickers or crayons. Growing Patterns, activity from NCTM Addenda, Gr. 3 Pg. 8 Correct extension and description of pattern.

 

Describe pattern found in nature. Draw or trace design and extend or generate on computer. - Pattern Block stickers.

- Markers/crayons.

- Journals.

- Tenth Planet (geometry program).

 

Grade 3

In the Area of: Patterns, Relations, & Functions

3

 

Outcome
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  Create patterns.

 

Demonstrate 2 types of patterns.
Radiant (snowflake)
Tiled (wrapping paper)
Use computer program, manipulatives, stickers, paper shapes or pattern blocks to create patterns of both types. Pattern evidences symmetry and repetition of basic theme appropriately.

 

Folds paper and cuts to make an extended pattern or original design. - Tenth Planet (geometry program).

- Pattern Blocks.

- Tiles.

- Crayons.

- Stickers.

 

Grade 3

In the Area of: Patterns, Relations, & Functions

4

 

Outcome
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  Identify multiplication patterns. Provide manipulatives (such as color tiles) and ask question: "How many arrays can be make for 12 tiles?"
Arrange tiles in rows and columns. Describe array to teacher who collects and lists all possibilities. Analyze for patterns.
6 rows 2 columns
2 rows 6 columns
Repeat with 24 or 20 tiles. Relate to triangle facts.

 

Even arrays correctly described.

 

Read Alice in Pastaland. Choose activity(s) of interest to complete.

 

- Alice in Pastaland and guide.

- Color tiles.

 

Grade 3

In the Area of: Patterns, Relations, & Functions

5

 

Outcome
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  Create tables of values to determine relationships between the pairs and generate more pairs.
Introduce a simple pictorial pattern on overhead or chalkboard with 4 or 5 examples. Ask students to identify corresponding numerals. Record. (Square numbers can be use array with term then total number in array. Another pattern is triangular numbers.
1, 3, 5
Encourage students to use array to help predict and extend.
Work with a partner and make a table for the quadrinumber pattern:
 
o o ooo oooo
o o o o o o
ooo o o
oooo etc.
Identifying number of shapes resided and extend chart to the tenth term.
 
 
Arithmetic Sequences on calculator (NCTM Addenda,Gr. 3 pp. 6-7). Use function to repeat operation on calculator. Write directions that will help someone multiply or add a given number repeatedly.

 

- NCTM Addenda, Gr. 3.

- Overhead.

- Teacher-made chart.

Grade 3

In the Area of: Patterns, Relations, & Functions

6

 

Outcome
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  Use Venn diagrams to sort information.

 

 

Demonstrates use of Tabletop program. Creates survey for students to respond to merge results. Group data using computer and large screen TV. Show student computer-generated groupings, encourage them to ask questions that can be answered thru analyzing the data. Answer survey questions. Manipulate data with computer Venn diagram.

 

Describes patterns evidenced in computer-generated Venn diagram in writing or orally.

 

Create another survey to be used with family or friends. Input data creating a Tabletop data base. Make Venn diagrams on computer. Print out.

 

Tabletop CD-ROM.

Grade 3

In the Area of: Patterns, Relations, & Functions

7

 

Outcome
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  Identify potential solutions given some information and explain solution in writing.

 

Models thinking through solving of Thinker Math problem. (On board or overhead with explanation of reasoning thinking out loud.)

 

Work with partner on ThinkerMath activities. Describe thinking that led to problem solution. What other number could be used as well?   Create a math puzzle that gives some information but not all. there are many potential solutions. Make a chart/display showing puzzle. Share with appropriate audiences.

 

ThinkerMath, Gr. 3-4 from Creative Publications.

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