Mathematics Curriculum Guide

Estimation and Computation

Grade 4

In the Area of: Estimation & Computation

1

 

Outcome
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Instructional Strategies
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Extension
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Resources

 

  - Round to the nearest tens, hundreds, etc.

- Round decimals to nearest whole number.

- Reinforce rounding as a tool to enhance estimates.

- Models rounding algorithms and application.

 

Identify on number lines the placement of target numbers to show their relationship to other benchmark numbers.

 

730 732 735

. . .

 

  Research a country of interest in Almanac. Round all statistical data and report approximate figures. - Everyday Mathematics.

- Teacher's Resource Manual, pp. 74-75.

- Teacher-made worksheet.

Grade 4

In the Area of: Estimation & Computation

2

 

Outcome
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Instructional Strategies
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Learning Activities
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Assessment

 

Extension
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Resources

 

  Round to determine approximate sums, differences, products.

 

Demonstrate application to computation problems.
 
Round numbers in target computation problems. Solve comparing estimate to real solutions.

 

  Research a country of interest in Almanac. Round all statistical data and report approximate figures. Statistics can be compared to estimates.

 

Teacher-made practice.

Grade 4

In the Area of: Estimation & Computation

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

 

  Estimate to decide reasonableness in problem solving solutions obtained.

 

Year long Project&emdash;Oh, How We've Changed! How many centimeters in all do you think our class will grow during the year?

 

Students collect data over time related to changes in height and foot length. Data is graphed by month (class grouping ) and individually, collected and analyzed.

 

  Marble roll through paper towel roll activity. - NCTM Gr. 4 Addenda.

- Graph paper.

- Metric rulers.

Grade 4

In the Area of: Estimation & Computation

4

 

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 approximations using front-end digits with rounded numbers.

 

Models differences
 
25 front end = 20
X 4 X 4
80
 
25 rounded = 30
X 4 X 4
120
Correct solution lies between.
Copy problems show thought balloons for estimates front-end and rounding. Compare and share.   Create range of problem solution with two types of estimates. Teacher-made worksheet.

Grade 4

In the Area of: Estimation & Computation

5

 

Outcome
(The student will...)

 

Instructional Strategies
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Learning Activities
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Assessment

 

Extension
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Resources

 

  Estimate products and quotients; determine whether greater or less than calculator products and quotients.

 

Model process of estimation, computation and then checking with calculator. Using mileage map of U.S., identify distance between key cities. Round multiply for round trip mileage. Solve commuting problems.   Use mapping program software on Internet to find various routes between U.S. cities. Compare/contrast routes. - Internet link (map).

- Road Map Atlas.

Grade 4

In the Area of: Estimation & Computation

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

 

  Use left-to-right multiplication to calculate exact answers.
Teacher model partial products multiplication process using overhead graph paper. Emphasizes place value.
 

Ex: 42

X 7
280
40 X 7 = 280 2 X 7 = 14
 
Add

 

Practice partial products multiplication using graph paper independently or with partner. - Accuracy of computation.

- Writes journal entry describing partial products multiplication.

 

Practice finding products mentally with single digit multipliers. - Slam Dunk Multiplication.

- Teacher-made materials.

Grade 4

In the Area of: Estimation & Computation

7

 

Outcome
(The student will...)

 

Instructional Strategies
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Learning Activities
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Assessment

 

Extension
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Resources

 

  Develop special combinations for sums, differences and products. (i.e. tens (dimes), 25 (quarters), and hundred)

 

Reviews combinations to make 10. Ask students to relate to numbers that combine to make 100. Chart for reference. Work in small groups to identify other numbers combining to make 100. Relate to combinations of decimals to make 1.   - Create change chart for cashier. Establish price for individual ticket and multiples. Then, record combination of change customer should receive.

- Create number line including fractions and decimals.

 

 

Grade 4

In the Area of: Estimation & Computation

8

 

Outcome
(The student will...)

 

Instructional Strategies
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Learning Activities
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Assessment

 

Extension
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Resources

 

  Round, estimate fractions to zero, one-half, and one.

 

- Identify fractions as greater than or less than 1/2.

- Brainstorm strategies can use to order. Set target fraction for use in activity.

 

In small groups arrange fractions on number line. Establish mid-points. Round per established algorithm.   Alien Arithmetic activity. - Teacher made number line

- Zounds!, p.85.

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