Mathematics Curriculum Guide

Estimation and Computation

Grade 8

In the Area of: Estimation & Computation

1

 

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 computation, estimation and proportions to solve problems. - Set goals and parameters for scale project.

- Generate rubric with class.

- Design, complete a scaling project. Ex: art or astronomy application. Relate to real world application.   Explain how Sarah doesn't need to recompute. Her calculator display was 676.8 after she multiplied 9.4 X 7.2, she forgot to key the decimal point. How can estimation help her?

 

- GEMS: Astronomy.

- Project Earth Science.

- GEMS: Earth, Moon & Stars.

Grade 8

In the Area of: Estimation & Computation

2

 

Outcome
(The student will...)

 

Instructional Strategies
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Learning Activities
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Assessment

 

Extension
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Resources

 

  - Estimate the square root of a given number or the square of a number to the nearest range of whole numbers.

- Estimate the square of a number.

 

- Use a table of perfect squares (100 - 400) to model estimation of a square number.

- Reserve the process for estimating roots.

 

Answer questions asking for estimate. Ex: Between what 2 numbers is the square root of 40? Estimate and then check with calculator. Student explains difference between exact and approximate square roots.

 

 

- What is the value of 6 to the tenth power? 1,000th power? How did you figure?

- Research historical connection.

 

- Math text.

- Calculator.

Grade 8

In the Area of: Estimation & Computation

3

 

Outcome
(The student will...)

 

Instructional Strategies
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Learning Activities
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Assessment

 

Extension
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Resources

 

  Apply estimating to fractions, decimals & percents. Sets up problem situation. Rookie teacher has no calculator as grading guide. Needs to have percents for students' grades - estimate.
Approximate percents from fractions specified in teacher-made worksheet.
Ex:
# of points student earned

total points

 
365 = ___% 225 = ___%
420 255
 
etc. Estimates only, no calculators.
Student performs timed exercises from Developing Skills in Estimation ( no calculators)

 

You have a job. Starting salary was $3/hour. If you were given a raise of 25 cents an hour, what would your rate of pay be after 8 hours? A week? 40 hours? A month?

 

- Developing Skills in Estimation - Dale Seymour

- Teacher-made worksheet.

Grade 8

In the Area of: Estimation & Computation

4

 

Outcome
(The student will...)

 

Instructional Strategies
(The teacher may...)

 

Learning Activities
(The student may...)

 

Assessment

 

Extension
(The student will...)

 

Resources

 

  Estimate to select most appropriate solution given more than one solution. - Find samples of math problems in multiple-choice format.

- Create task cards for small group work.

 

Work in small group to discuss problems, share reasoning. Choose best answer by estimating. Absolutely no pencil or paper or calculator allowed. Share strategies with whole class.

 

Student performs timed exercises from Developing Skills in Estimation (no calculators). Puzzle: In a university there are 6 times as many students as there are professors. Which of the following equations correctly expresses the relationship.
S= 6P S=P/6
P=6S P=S/6

 

- Multiply Choice math problems (Outdated standardized tests are 1 source).

- Favorite Problems - Dale Seymour.

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