Mathematics Problem Solving Competition - Semester Problem

MATHEMATICS PROBLEM SOLVING COMPETITION

SEMESTER 1, 2007-8

SEMESTER PROBLEM #1


THE YEAR 2008

Using the digits from the year 2008, write expressions which equal the numbers from 0 to 100.

* All four digits must be used, but no other
number may be used.
* Any mathematical operation may be used.

Some examples: 2 + 0 + 0 + 8 = 10; 8 – 0(0 + 2) = 8; 82- 0 + 0 = 64.

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Due Dates:
· Numbers 0 to 25: October 19, or sooner.
· Numbers 26 to 50: December 21, or sooner.
· Numbers 51 to 75: February 29, or sooner.
· Numbers 76 to 100: April 11, or sooner.
· Numbers 0 to 100: May 23, or sooner.

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Remember:
* Your entry must clearly show your name, school’s name, mathematics class code, teacher’s
name and date of submission.
* All steps must be clearly shown.
* The most accurate and best presented entry will win the prize.
* Your mathematics teacher will give you credit for your entry and you will also receive a
certificate for participating.

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MPSC SEMESTER #1 PROBLEM, 2007-8, RKA Tom Frossinakis (AUSSIE) September 11, 2007

Mathematics Problem Solving Competition - Due 10/19/07

MATHEMATICS PROBLEM SOLVING COMPETITION

SEMESTER 1, 2007-8

THREE WEEK PROBLEM #2



PROFIT OR LOSS?


A car dealer sold two cars for $9,999 each. On one car she made a 10% profit and on the other car she made a 10% loss. What was the dollar amount of her overall profit or loss on the two transactions?

Explain your solution very clearly.


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Due Date: Friday, October 19, 2007

**********************************************************
Remember:
* Your entry must clearly show your name, school name, mathematics class code, teacher’s
name and date of submission
* All steps must be clearly shown.
* The most accurate and best presented entry will win the prize.
* Your mathematics teacher will give you credit for your entry and you will also receive a
certificate for participating.

**************************************************************************************



MPSC THREE WEEK PROBLEM #2, 2007-8 Tom Frossinakis (AUSSIE) September 30, 2007

Aims week of 10/1:

Aim 17: What are the properties of a parallelogram?
HW: PH pg 93 1,2,5,10,41

Aim 18: How do we prove that a quadrilateral is a parallelogram?
HW: PH pg 99 4-8,15,18,21

Aim 19: What are the properties of special parallelograms?
HW: PH pg 107: 1-4,12,14

Aim 20: PSAT Test Prep:
HW: None

Aim 21: What are the properties of rhombuses, rectangles, and squares?
HW: None

Aims week of 9/24:

Aim 12: How can we prove right triangles are congruent?
HW: PH pg 64 1-4,12

Aim 13: What does CPCTC tell us?
HW: PH pg 71 1,2,3,7,10

Aim 14: Review of quadratic equation
HW: PH pg 81 1-6

Aim 15: What are the properties of a Parallelogram?
HW: Study for test

Aim 16: Test: Parallel lines, congruent triangles, and proofs.
HW: none

Aims - Week of 9/17

Aim 7: Diagnostic test
HW: none

Aim 8: What properties do congruent triangles share?
HW: PH pg 41 1,2,6,7,8

Aim 9: How can we prove triangles are congruent?
HW: PH pg 52 6,8,10,12,16

Aim 10: What are the triangle congruence properties?
HW: PH pg 52 7,9,13,20

Aim 11: Test: What have we learned about parallel lines, congruent triangles, and formal proofs?

Week of 9/10 Aims

Aim 5: What is a postulate, what is a proof?
HW 5: PH pg 9: 21-29

Aim 6: What is a flow chart proof?
HW 6: PH pg 16 5-8,16,17

Aim 7: Quiz 1, continuation of flow chart proofs
HW 7: None

Week of 9/4 Aims

Aim 1: Introduction to Math B - 1st year
HW 1: Set up notebook

Aim 2: Starting to fill the tool box
HW 2: Finish the tool box worksheet practice problems

Aim 3: How do we use the math toolkit?
HW 3: PH pg 8 4,6,8,10,12 (collected - note all future homeworks will be collected)

Aim 4: What is a mathematical proof?
HW 4: none assigned