Mathematics Curriculum Guide

Geometry and Measurement

Grade 3

In the Area of: Geometry & Measurement

1

 

Outcome
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Assessment

 

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Resources

 

  Use correct vocabulary to identify geometric figures and their properties.

 

Model correct vocabulary, reinforce correct usage on part of students. Use new vocabulary often, so students get saturated with it.

 

Create a geometry dictionary, including diagrams and explanations (in their own words) of important concepts/vocabulary. Write me a Riddle activity.

 

Create a Hyperstudio stack quiz with multiple choice questions on geometry vocabulary and then cues to responses.

 

- Hyperstudio

- Zounds!, p.84.

 

Grade 3

In the Area of: Geometry & Measurement

 

2

 

Outcome
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  Demonstrate an understanding of perimeter and area, using manipulatives (tiles, blocks, string, paper, etc.).

 

Ask question: "How is the distance around a rectangle related tot he number of squares inside?" Provide geoboards and geobands to students to investigate.

 

 

Start with squares 2x2, 3x3, 4x4. Find perimeter, area. Practice with rectangles 1x2, 2x3, 3x4, etc. Look for patterns. Identify process. Student will write steps to finding the perimeter and area using manipulatives.

 

Choose five books from library center in classroom. Compute surface area of each book, compare amount of paper needed for book covers.

 

- Library books.

- Geoboards.

- Geobands.

Grade 3

In the Area of: Geometry & Measurement

 

3

 

Outcome
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Instructional Strategies
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Learning Activities
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Assessment

 

Extension
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Resources

 

  Compare area by covering regions.

 

Provide students with grid paper. Give each a different size rectangle to trace and cut out. Shapes get labeled (on
Work with partner to compare shapes by placing smaller on top of larger. Write statement describing 2 shapes. Write number sentences as well.
  Enlarge or reduce a coloring book picture by installing grid and reproducing on appropriate size graph paper.

 

- Graph paper.

- Coloring book art.

Grade 3

In the Area of: Geometry & Measurement

 

4

 

Outcome
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Instructional Strategies
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Learning Activities
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Assessment

 

Extension
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  Compare and demonstrate relationships and properties of various geometric figures through folding, cutting, models, geoboards, and computers. Review concepts of symmetry, congruent. Invite students to fold paper, cut shapes on fold, open and analyze new shape created in relation to original.

 

Use pattern blocks to describe relationships between shapes.
 
Hexagon = 2 Trapezoids
Rectangle = 2 Triangles
etc.
    Pattern Blocks.

Grade 3

In the Area of: Geometry & Measurement

 

5

 

Outcome
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Instructional Strategies
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Learning Activities
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Assessment

 

Extension
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Resources

 

Compare and manipulate angles through paper folding, models, computers, geoboards. Construct a square on geoboard. Ask students to identify right angles. What happens to angles if we add a diagonal line going through them? With teacher direction, fold paper, make and identify angles of 90, 45, 135, and 180 degrees. Compare size, discuss relationships. Construct a shape in origami - analyze for shapes and angles.

 

Compare/contrast use of symbol in geometry and measurement.

 

- Origami directions.

- Origami paper.

Grade 3

In the Area of: Geometry & Measurement

 

6

 

Outcome
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Instructional Strategies
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Learning Activities
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Assessment

 

Extension
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Resources

 

  Count, compare sets of currency that include ten, five, and one collar bills and assorted coins. Set up containers for Found the Wallet game with various combinations of coins and bills. After activity, order wallets by dollar amount. Work from station-to-station. Counting and recording amounts in containers. Match to written statements of people who lost money. Ex: I know I had between $5 and $10.

 

  Create work problems with money amounts and characters from learning activity. Share with class.

 

- Play money (bills & coins).

- Containers.

- Teacher-made worksheets.

Grade 3

In the Area of: Geometry & Measurement

 

7

 

Outcome
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Instructional Strategies
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Learning Activities
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Assessment

 

Extension
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Resources

 

  Correctly give change with coins.

 

Challenge students to name as many combinations as they can to make $1.50 without 1/2 dollars, nickels or pennies. Record on board.
Making Change Game:
Players take turns rolling dice and multiply by 5 cents the number on dice. They add that to the bank as the game proceeds. They need to exchange coins, etc.
  Create a version of the Making Change game that uses colored tiles in place of play money. Write clear, comprehensible directions. - 2 dice.

- Play money for each player:

- 1 dollar bill, 6 quarters, 2 dimes, 2 nickels.

 

Grade 3

In the Area of: Geometry & Measurement

 

8

 

Outcome
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Instructional Strategies
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Learning Activities
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Assessment

 

Extension
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Resources

 

  Describe seasonal temperature ranges in both F and C scales.

 

Introduce concept in calendar activities. Use weather service on computer to record both temperatures.

 

Collect data for season. Record range for that season. Estimate range for summer. Identification of likely range of temperature for fall, winter, spring in both F and C. Create Temperature Bingo game that could be played with large group.

 

- Weather report from TV or Internet.

- Calendar for recording.

Grade 3

In the Area of: Geometry & Measurement

 

9

 

Outcome
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Instructional Strategies
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Learning Activities
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Assessment

 

Extension
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Resources

 

  Determine elapsed time on both digital and analog time pieces.

 

Lead brainstorm on possible physical activity that can be timed. Teacher sets parameters (inside/outside, solo/partner, etc.). Review process for timing using stopwatch, clock and digital timer.

 

Work with partner to choose 5 activities from list. Create record sheet, do activity and time each other, record and compute elapsed time.   Design a unique or unusual way to measure time.

 

- Stopwatches.

- Digital timepieces.

- Paper.

 

Grade 3

In the Area of: Geometry & Measurement

 

10

 

Outcome
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Instructional Strategies
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Learning Activities
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Assessment

 

Extension
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Resources

 

  Compute length, capacity, and weight with common units of measure.

 

 

Metric Olympics (stations) sets up/explains events like discus throw (paper plate), water relay, guess weight estimate. States measure to be used. Go from station to station in small groups performing tasks and measuring performance, recording results. Medals can be awarded (shiny paper) to best efforts and award ceremony like real Olympic events.

 

  Interview on tape (or written ) Metric Olympic athletes asking questions related to strategies for peak performance.

 

- Shiny paper.

- Metric containers.

- Weights.

- Meter sticks, rulers.

Grade 3

In the Area of: Geometry & Measurement

 

11

 

Outcome
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Instructional Strategies
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Learning Activities
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Assessment

 

Extension
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Resources

 

  Identify, classify polygons as square, rectangle, triangle based on the number of sides and angles.

 

Invite students to trace and cut as many squares, rectangles or triangles of various dimensions. Construct large chart.
Fill in information in the chart.
Shape; number of faces; number of angles.
Examples and non-examples.
Display and add to as other shapes are studied.

 

  Create a shape book to be read to a student at a younger grade level that will help them understand shapes.

 

 

Grade 3

In the Area of: Geometry & Measurement

 

12

 

Outcome
(The student will...)

 

Instructional Strategies
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Learning Activities
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Assessment

 

Extension
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Resources

 

  Identify and classify 3-D shapes, based on number of faces and vertices.

 

Invite students to compare/contrast two 3-D shapes. Create a large table with names of shapes. Direct students to trace each face of their shape on construction paper and cut out. Work in small groups to trace each face of a 3-D shape as assigned by teacher. The tracings will be cut out and added to the chart. Students will recognize from chart the number of faces and the shapes they represent. Students analyze chart for similarities and differences.   Write 3-D shape riddles giving clues that range from hardest to easiest. Teacher may share with class as a follow up to activity. Ex: "I have six faces and 8 vertices. Each face has the same shape and size. The Base Ten Unit is an example of me. What am I?"

 

- NCTM Addenda, Gr. 3, pp. 26 - 27

- Power Polygons or similar models of 3-D shapes.

- Teacher-made chart.

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