Mathematics Curriculum Guide
Estimation and Computation
Grade 6 In the Area of: Estimation & Computation |
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| Formulate strategies to eliminate
multiple choice solutions through estimation skills.
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Estimate the length of $1.00 bill; measure in inches; estimate the length of 1 million dollar bills; compute. | Group activity: "If your group placed a million dollars end to end, how far would they reach?" | - Observation of student groups. - Grading matrix. - Journal: "How far do you think $1 billion would reach? Explain reasoning.
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Multiple Intelligences in the Mathematics Classroom - Hope Martin. | ||
Grade 6 In the Area of: Estimation & Computation |
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| Formulate strategies to check solutions
through estimation skills in addition, subtraction, multiplication, division (compatibles,
round up/ down).
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Show example of compatibles; round up/down. | Use compatibles, numbers which are easily multiplied mentally, to check products. Use round up/down strategies and compare to actual products. | Try various methods and compare to actual products.
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Grade 6 In the Area of: Estimation & Computation |
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| Integrate estimation skills to check
probable solutions in fractional and decimal problems (round up/ down, whole numbers,
closest value).
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Encourage students to consider the bounds for each answer by analyzing the value of each factor. | - Estimating with decimals. - Estimating decimal products.
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Small group of students produce original grids for class challenge. | Classroom presentation by student(s) explaining rationales
for solutions.
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NCTM Addenda Series: Developing Number Sense, p. 37.
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Grade 6 In the Area of: Estimation & Computation |
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| Mentally estimate using a variety of
strategies.
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Estimate whole number products using a factor board and product grid. Class or group activity. | Small groups of students produce original grids for class
explorations.
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Generate additional games. | NCTM Addenda Series: Developing Number Sense, p. 27.
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Grade 6 In the Area of: Estimation & Computation |
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| Solve multiplication and division problems (including decimals) with powers of ten using mental math. | Illustrate with board examples and manipulatives.
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Students look for patterns when multiplying and dividing by
powers of 10. Use a calculator to check pattern.
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Solve equations. Explain patterns.
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Scientific Notation. | Problem Solving in Mathematics - Dale Seymour Publications. | |
Grade 6 In the Area of: Estimation & Computation |
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| 6
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| Mentally estimate certain types of
percent and whole number problems. (i.e. 25% of $200).
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Illustrate example of mental math in determining a 15% gratuity in a restaurant. Find 10%, then 1/2 of 10% for a total of 15%. | - Use store ads to find discounts. - Round whole numbers for mental math. Ex: 10% of 25.9% becomes 15% of $26.
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Students make poster of discounted items. | Find reasonable values in statements.
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NCTM Addenda Series: Developing Number Sense, p. 19.
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Grade 6 In the Area of: Estimation & Computation |
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| 7
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| Identify, measure, estimate in various
geometric shapes. (angles as right, acute, obtuse)
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Use board protractors. | Use Angle Measurement activity. Extend by having
students measure angles and label as acute, right, obtuse.
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Students measure a variety of angles and label as acute, right, obtuse. | Draw circle graphs. | NCTM Addenda: Geometry in the Middle Grades, p. 30.
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Grade 6 In the Area of: Estimation & Computation |
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| 8
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| Estimate the area of geometric figures
(rhombus, circle) on grid paper.
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Use geoboard and overhead to initiate exploration. | Use grid paper and geoboard. | Student drawings.
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Very unusual congruent geometric shapes.
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Return to Grade 6 Curriculum Guide
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