Math 300: Mathematics
Concepts for Teachers, Spring 2016
Reading and Homework
Assignments
Week 4
HOMEWORK #5: Due
Monday, February 22nd (reading assignment due February 17th):
Reading Assignment:
· Read sections 2.2 and 2.3, 2.4 for understanding as described
in class, and write notes (for yourself) of all the relevant information.
The reading questions below are meant to help you. Turn in the answers to
these questions as part of the homework.
Reading Questions:
1. Learn or remind yourself of the following (no need
to write them down on the homework, but learn them well): triangle, square,
rectangle, quadrilateral, pentagon, hexagon, heptagon, octagon, nonagon,
decagon, dodecagon, n-gon, picture proof, interior
angles, exterior angles, symmetry, reflection symmetry, rotational symmetry,
line of symmetry, center of symmetry, rotational symmetry of order n, acute
triangle, right triangle, obtuse triangle, scalene triangle, isosceles
triangle, equilateral triangle, convex, concave, equilateral, equiangular,
regular, vertex, vertices, quadrilateral, parallelogram, rectangle, rhombus,
square, trapezoid, kite, convex, concave, equilateral, equiangular, regular,
vertex, vertices. Find examples and non-examples to help you.
2.
What are some differences between a definition of triangle that might be given to a grade 2
student versus a definition that might be given to a 4-7th grader.
3.
Prove that the sum of the measures of the
interior angles of a triangle is 180 degrees.
4.
Can an object have rotational symmetry
but no reflection symmetry? If so, show an example. If not, explain
why not.
5.
Can an object have reflection symmetry
but no rotational symmetry? If so, show an example. If not, explain
why not.
6.
How many reflection symmetries does a
square have? How many rotational symmetries? Name them.
7.
Draw a Venn diagram to categorize
triangles, isosceles triangles, scalene triangles, equilateral triangles.
1.
Is every square a
rectangle? Explain.
2.
Is every
rectangle a square? Explain.
8.
Write questions and comments you have on
the readings for today.
Homework Assignment:.
·
Homework Set #4:
1,5,6,8,10,11 (Optional: 2,3,4,5,7,9—if you need or would like the practice.)
·
Homework Set #5:
1ac,3,4,5,6,8,11 (Optional: 2,7,9,10,12,13,14—if you need or would like the
practice.)
·
Homework Set #6:
1, 2, 4, 7 (Optional: 4, 5, 6, 8—if you need or would
like the practice.)
·
Homework Set #7:
1, 3, 4 (Optional: 2, 5, 6, 7—if you need or would
like the practice.)
· Homework Set #8: 2, 3, 6, 9,
10 (Optional: 1, 4, 5, 7, 8, 11—if you need or would like the practice.)
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Comments: pmyers@sandiego.edu