Appendix
F: Illustrative ExamplesMathematics 8
Appendix
F: Illustrative Examples
Mathematics 8
NUMBER (Number Concepts)
In order to prepare students to demonstrate a number sense for rational numbers, including common fractions, integers, and whole numbers, it is expected that students will:
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Shamin used small square tiles to form larger squares as a way of finding the square roots of 25 and 16.
Use Shamin's method to show the square roots of 36, 49, 64, and 100.
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Greg
calculates the area of a circle using p=3.14, while Mary uses the button
on her calculator. Show that their answers are differnet and explain why.
If the radius of the circle is 140 cm, how far apart are their answers? |
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Hannah used square tiles and grid paper to show that the square root of 42 is not a whole number. She made the largest square possible, using 36 of the 42 tiles, and traced a 6x6 square on grid paper. She then cut a strip of six squares to represent the six leftover tiles. She cut it and placed it on the grid, as shown below.
Estimate Compare your estimate with a calculator result. Use hannah's method
to estimate the square roots of 56 and 130, and explain your solution.
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Revised: September 1, 2001
from the diagram.