Focusing on Mathematical Reasoning: Activities for the Classroom. Bonnie Goonen
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1 Focusing on Mathematical Reasoning: Activities for the Classroom Bonnie Goonen 0
2 Tangrams Template Focusing on Mathematical Reasoning 1
3 Tangram Activity Focusing on Mathematical Reasoning 2
4 Tangram Answers Focusing on Mathematical Reasoning 3
5 Answer to Activity 1 How many different lengths are involved? There are four different measurements. Number the lengths in order from smallest to largest. Start by labeling the smallest side 1, the next largest side 2, etc Focusing on Mathematical Reasoning 4
6 Answer to Activity 2 If the area of the parallelogram is equal to 4 square units find the area of each piece Focusing on Mathematical Reasoning 5
7 Answer to Activity 3 If the area of the small square is equal to 4, find the length of each side of each piece Focusing on Mathematical Reasoning 6
8 Geometry Match Game parallel lines lines that stay same distance from each other forever and never intersect perpendicular lines lines that cross at a point and form 90 angles intersecting lines lines that cross at a point Focusing on Mathematical Reasoning 7
9 vertices a point where two or more lines come together; also called a corner on a polygon acute angle an angle that is less than 90 obtuse angle an angle that is more than 90 and less than 180 Focusing on Mathematical Reasoning 8
10 right angle an angle that is exactly 90 straight angle an angle that is exactly 180 complementary angles two angles that add up to 90 Focusing on Mathematical Reasoning 9
11 supplementary angles two angles that add up to 180 opposite angles angles that are across from each other; they do not share a side or vertex adjacent angles two angles that are formed with a common side Focusing on Mathematical Reasoning 10
12 equilateral triangle a triangle with three equal sides isosceles triangle a triangle with two equal sides scalene triangle a triangle with no equal sides Focusing on Mathematical Reasoning 11
13 acute triangle A triangle with all acute angles right triangle A triangle with one right angle obtuse triangle A triangle with one obtuse angle Focusing on Mathematical Reasoning 12
14 quadrilateral a four sided polygon; angles total 360 parallelogram contains two sets of parallel sides rhombus contains two sets of parallel sides that are all congruent Focusing on Mathematical Reasoning 13
15 rectangle contains two sets of parallel sides that form four 90 angles square contains two sets of parallel sides that form four 90 angles; all sides are congruent isosceles trapezoid a quadrilateral that contains one set of parallel sides; also contains two opposite congruent sides Focusing on Mathematical Reasoning 14
16 right trapezoid a quadrilateral that contains on set of parallel sides and contains two right angles interior angles the angles inside of a figure; in a triangle, these add up to 180 exterior angles the angles on the outside of a figure when the sides are extended Focusing on Mathematical Reasoning 15
17 octagon an 8-sided polygon pentagon a 5-sided polygon hexagon a 6-sided polygon Focusing on Mathematical Reasoning 16
18 congruent a word meaning equal or same; it is used to describe figures, sides, and angles diagonal a line that cuts across a figure connecting two vertices that are not adjacent line symmetry a figure has this when a line can divide it into two congruent parts Focusing on Mathematical Reasoning 17
19 rotational symmetry reflection H a figure has this when can be turned around a point and look exactly the same as its original image after some rotating a transformation that moves a figure by flipping it across a line translation a transformation that moves a figure in a straight line without turning or flipping Focusing on Mathematical Reasoning 18
20 rotation a transformation that moves a figure by turning it Focusing on Mathematical Reasoning 19
21 Algebra Match Game Model Equation Solution Focusing on Mathematical Reasoning 20
22 Focusing on Mathematical Reasoning 21
23 Focusing on Mathematical Reasoning 22
24 Focusing on Mathematical Reasoning 23
25 Language of Algebra Match A number decreased by 8 n 8 A number minus 8 8 less than a number A number squared n 2 Focusing on Mathematical Reasoning 24
26 The square of a number n n A number divided by 6 n 6 n 6 The quotient of a number and 6 Focusing on Mathematical Reasoning 25
27 The sum of 9 and a number 9 + n Nine increased by a number n + 9 Twice the sum of 15 and a number 2(15 + n) Focusing on Mathematical Reasoning 26
28 (15 + n) 2 7 more than the product of 6 and a number 7 + 6n Two times the sum of 15 and a number 6n + 7 The product of 6 and a number increased by 7 Focusing on Mathematical Reasoning 27
29 30 increased by 3 times the square of a number 3n n 2 30 more than 3 times the square of a number Five squared 5 2 Focusing on Mathematical Reasoning 28
30 5 5 Five raised to the second power Four times a number 4n The product of a number and 4 4 n Focusing on Mathematical Reasoning 29
31 3 less than 5 times a number The product of 5 and a number less 3 One-half the square of b 5n 3 3 less than the product of 5 and a number ½ b 2 Focusing on Mathematical Reasoning 30
32 b 2 2 The quotient of b squared and 2 Six times n squared plus 3 6n Three more than the product of six and the square of a number 3 + 6n 2 Focusing on Mathematical Reasoning 31
33 2 n Two-thirds the square 3 2 of a number The quotient of twice a number squared and 3 2n 2 3 The difference of a number and 1 n 1 Focusing on Mathematical Reasoning 32
34 One less than a number A number minus 1 The product of a number cubed and the square of another number A number cubed times another number squared n 3 m 2 n n n m m Focusing on Mathematical Reasoning 33
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Ma Data Hling: Interpreting Processing representing Ma Shape, space measures: position shape Written Mental method s Operations relationship s between them Fractio ns Number s the Ma1 Using Str Levels