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Study guide for exam 2 – MA118 – Fall 2012 - McAllister 1. Briefly discuss the value of teaching and learning about other numeration systems besides our own. List at least two reasons. 2. In the figure below, line l and m are parallel. Using the given information, determine the measure of all of the angles in the figure. 68 c 113 h a b d e f g i j 3. Determine if the following statements are true or false. Indicate a true statement by writing the word ‘true’ in the blank before the statement and a false statement by writing the word ‘false’ in the blank. __________a. Every equilateral triangle is acute, but not every acute triangle is equilateral. __________b. Every square is a rectangle, and every rectangle is a square. __________c. It is possible to have a right scalene triangle. __________d. Octagons have six sides and look like a stop sign. __________e. A kite has two pairs of congruent adjacent sides. __________f. A triangle has at most two acute angles. __________g. It is possible to have a right equilateral triangle. __________h. Two angles are complementary if the sum of their measures is 180. __________i. Every polygon is a simple closed polygonal curve. __________j. A square and an isosceles triangle are examples of regular polygons. __________k. Trapezoids are a type of kite. __________l. A parallelogram with at least one right angle is a rectangle. 4. Use the partial sums algorithm to add 8429 + 4586. 5. Use the lattice method for addition to add 846+518. 6. Use the equal addition method to subtract 3521 - 1457. 7. Use the low stress algorithm to subtract 5116 - 1427. 8. Use Across zeros to subtract 100,012 – 87,475. 9. Use partial products method to multiply 37 x 78. 10. Use the lattice method for multiplication to multiply 246 x 49. 11. Use either scaffolding or pyramid method to divide 8376 by 49. 12. Use short division to divide 3419 by 7. 13. Give three reasons why alternative algorithms are valuable for elementary teachers to know?