Math 310 Fall 2010

Instructor: Mary Rosen

Email: mary.rosen@csun.edu

Phone: 818 677-7791

Website: www.csun.edu/~hcmth045

Office hours: T,Th 3:30 - 5:00

and by appointment

Goals: Math 310 follows Math 210 and is a second semester course that focuses on elementary school mathematics. The main goal is to enable you to gain a solid knowledge of geometry and learn the probability and statistics you will need to be an effective teacher. Additional goals of the course are to teach you: (i) how to present the material in the simplest, clearest way, (ii) the appropriate sequential order for developing mathematics skills, (iii) what elementary school students will find difficult and what errors they are likely to make, and (iv) how each topic helps advance the mathematical level of the students.

Textbooks:

- Elementary Geometry for Teachers, by Thomas H. Parker and Scott Baldridge.

- Primary Mathematics textbooks (U.S. Edition) 3B, 4A, 5A, 5B and 6B, and New Elementary Mathematics Textbook 1. Students using this elementary school curriculum were tested as the best in the world. We will do many problems from these books.

Materials: You will need a ruler to measure inches and centimeters, a protractor, and a compass.

Expectations: Classes will be conducted primarily in the form of lectures. You are expected to take complete notes, to participate in class activities, and to ask questions about what you do not understand. Attendance is mandatory.

Calculators: Calculators will not be allowed for any exams or quizzes.

Tutoring: In addition to my office hours, free tutoring is available for Math 310 students in the Math Tutoring Center. The center will be in a new location - LO1319 (Live Oak). The center will open the second week of classes; days/times to be announced.

FINAL EXAM: Saturday, December 11, 11:30 - 1:30 (room to be announced)

Some References and Tools for the Course

"High Achievement in Mathematics: Lessons from Three Los Angeles Elementary Schools"

Solving Algebra and Other Story
Problems with Simple Diagrams: a Method Demonstrated in

Grade 4–6 Texts Used in Singapore by Sybilla Beckmann

Videos
and explanations of Compass and Straightedge constructions

Student
Practice
Problems for grades 1 to 8 (Algebra I) California Math Standards

Student behavior, academic dishonesty, university policies:

Please arrive on time and avoid leaving early. No text messaging. Cell phones should be turned off during class. Please be aware of the University's Student Conduct Code available at:

http://www.csun.edu/a&r/soc/studentconduct.html

Homework Assignments and Solutions:

General instructions: Avoid unnecessary writing. Make your answers short and clear.

Assignments

It may help with some of these problems to read examples of Teacher Solutions here: Solving Algebra and Other Story Problems with Simple Diagrams: a Method Demonstrated in Grade 4–6 Texts Used in Singapore

Read pages v to x at the beginning of the textbook

Read Sect. 1.1 and do problems: 1 - 4, 7, 8 Section 1.1 solutions

Read Sect. 1.2 and do problems: 2 - 4, 6, 7, 10 - 14 Section 1.2 solutions

Read Sect. 1.3 and do problems: 1bc, 2 - 5, 6bcd, 7, 8abc, 9 - 12 Section 1.3 solutions

Read Sect. 1.4 and do problems: 1, 4 - 6, 8 - 10 Section 1.4 solutions

Read Sect. 2.1 and do problems: 1 - 6, 10, 12, 13 Section 2.1 solutions

Read Sect. 2.2 and do problems: 3 - 8 Section 2.2 solutions

Read Sect. 2.3 and do problems: 1 - 3, 5 - 7 Section 2.3 solutions

Read Sect. 2.4 and do problems: 1 - 4, 6, 7, 9 - 11 Section 2.4 solutions

Read Sect. 2.5 and do problems: 4 - 8 Section 2.5 solutions

For help see: Videos and explanations of Compass and Straightedge constructions

Read Sect. 3.1 and do problems: 1 - 6 Section 3.1 solutions

Read Sect. 3.2 and do problems: 3 - 7, 8 (3f, 4d, 4i, 4j) Section 3.2 solutions

Read Sect. 3.3 and do problems: 2 - 9 Section 3.3 solutions

Read Sect. 4.1 and do problems: 1 - 10 Section 4.1 solutions

Read Sect. 4.2 and do problems: 3, 6, 7, 8, 9, 11 Section 4.2 solutions

Read Sect. 4.3 and do problems: 1 - 10 Section 4.3 solutions

Read Sect. 4.4 and do problems: 3 - 8 Section 4.4 solutions

Read Sect. 5.1 and do problems: 3 - 7, 10, 11 Section 5.1 solutions

Read Sect. 5.2 and do problems: 2-5, 8, 9, 11 Section 5.2 solutions

Read Sect. 5.3 and do problems: 1, 2, 4, 6, 7, 9, 11, 12, 14 Section 5.3 (with correction) 5.3b solutions

Read Sect. 6.1 and do problems: 2 - 5, 6adef, 7ab, 8, 9, 10, 12 Section 6.1 solutions

Read Sect. 6.2 and do problems: 2abc, 4, 5, 8, 10, 11, 13, 15 Section 6.2 solutions

Read Sect. 6.3 and do problems: 1, 2a, 3, 4, 5, 7 - 11, 13, 14, 16 Section 6.3 solutions

Read Sect. 7.1 and do problems: 1, 3 - 10, 12, 13, 14 Section 7.1 solutions

Read Sect. 7.2 and do problems: 1 - 5, 8, 9 Section 7.2 solutions

Read Sect. 7.3 and do problems: 6, 8, 11, 12, 14, 17 Section 7.3 solutions

Read Sect. 8.1 and do problems: 3 (Prob 17 a,b,c,d,g,j), 4, 5, 7 - 10 (Extra area problem practice: Exercise 2) Section 8.1 solutions

Read Sect. 8.2 and do problems: 2 - 7 Section 8.2 solutions

Read Sect. 8.3 and do problems: 2, 3, 5, 6, 8, 10 Section 8.3 solutions

Read Sect. 9.1 and do problems: 6 - 10, 11ab Section 9.1 solutions

Read Sect. 9.2 and do problems: 1 - 5, 7, 8; Solutions: Section 9.2a, Section 9.2b, Section 9.2c

Read Sect. 9.3 and do problems: 2 - 7, 9. 11, 12, 14, 15, 16 Section 9.3 solutions

(leave your answers in terms of pi so that a calculator is not necessary)

Read Sect. 9.4 and do problems: 1 - 10 Section 9.4 solutions

Read Sect. 9.5 and do problems: 1 - 5, 9, 10, 11 Section 9.5 solutions

Read Sect. 10.1 and do problems: 1be, 3a, 5(probs. 2, 4 only) Section 10.1 solutions

Read Sect. 10.2 and do problems: 3ab, 6, 7, 8, 9a, 11 (Group B in Prob 9 only), 12 Section 10.2 solutions

Read Sect. 10.3 and do problems: 1 - 4, 6, 8, 10, 11, 12, 15 Section 10.3 solutions

Read Sect. 10.4 and do problems: 2 - 5 Section 10.4 solutions

Sample Final Exam Problems:

Solutions are posted here by section:

Solutions
Sections A & B

Solutions Section C

Solutions Sections D & E

Solutions Section F

Solutions Section G
Alternate Solutions Section G

Solutions Section H

Solutions Section I

Solutions Section J

Solutions Section K

Solutions Section L
A Proof for #1

Solutions Section M

Solutions Section N