Marsh= all Middle School

Curri= culum

Compe= titive Math Class

I. Br= ief overview:

This class will seek to help students improve their problem-solving skills. We wi= ll accomplish this task by focusing on the following areas:

1. Chess instruction: http://www.uiltexas.org/aplus/events/a-chess-puzzle-pilot

2. UIL competitions

&nbs= p; A. Number Sense: http://www.uiltexas.= org/aplus/events/aplus-number-sense

&nbs= p; B. Calculator Applications: http://ww= w.uiltexas.org/aplus/events/aplus-calculator-applications

&nbs= p; C. General Mathematics: http://www.ui= ltexas.org/aplus/events/aplus-mathematics

3. Parti= cipation in the American Mathematics Competitions (AMC 8) Tuesday, November 15, 2011. http://amc.maa.org/e-exams/e4-amc08/amc8.shtml

4. MathCounts: https://mathcounts.org/SSLPage.aspx?pid= =3D1828

II. S= cope and Sequence:

Instructional Note: Because of Marshall's alternating = block schedule, I can expect to meet with students every other class day. This means that in a typical six-w= eeks, the class should meet approximately 15 times. Hence the class will meet approxim= ately 45 times per semester and 90 times per year.

Plan: I plan to alternate weeks of study between UIL material and MathCounts material, with Friday meetings devoted to Chess.

&nbs= p; A. <= u>Semester 1

Week 1: Introduction To Number Sense, Calculator Applications and Chess

Objectives:

Day 1 & 2: Watch the movie: Hard Problems

1. Numbe= r Sense Objective: The student will b= e able to understand the rules of the contest, and the nature of the Contest.

2. Calcu= lator Application Objective: The st= udent will be able to understand the rules of the contest, and the nature of the contest.

3. Chess objective: The student will b= e able to understand the rules of the game( 9 Fridays):

· chessboard design and chess vocabulary

· piece moves and captures

· en passant

· pawn promotion

· checking the King

· castling

· checkmate

· drawn games

· algebraic notation (&descriptive notatio= n)

Week 2: Introduction to MathCounts, American Mathematics Competitions 8, and UIL mathematics.

1. MathCounts/General Math objective: The learner will understand the ru= les and nature of the MathCounts Competition and th= e UIL Math competition.

2. MathCounts/General Math objective: The learner will take a diagnostic/practice UIL test.=

Week 3:

1. Number Sense Objective: TLWBAT: solve number sense problems involv= ing Addition, subtraction, multiplication & division of whole numbers, fractions, and decimals. Solve problems involving order of operations.

2. Calculator Application Objective: The le= arner will be able to use the HP35s to solve order of operations problems , Page = 1 of contest. (7 days)

3. Chess objective: chessboard design and chess vocabulary

Week 4:

1.&nb= sp; MathCounts/General Math objective: The learner will be able to solve problems involving Algebraic Expressions & Equations (2 days).

Week 5:

1.&nb= sp; Number Sense Objective: TLWBAT: solve number sense problems involving Use of the Distributive Property. Solve problems involving comparison of fract= ions and decimals.

2.&nb= sp; Calculator Applications Objective:&= nbsp; TLWBAT: use the HP35s = to solve order of operations problems, Page 2 of contest.

3.&nb= sp; Chess Objective: piece= moves and captures.

Week 6:

1.&nb= sp; MathCounts/General Math objective: The learner will be able to solve problems involving Measurement (2 days).

Week 7:

1.&nb= sp; Number Sense Objective: TLWBAT: solve number s= ense problems involving Multiplica= tion Short-cuts and Squaring numbers.

2.&nb= sp; Calculator Applications Objective:&= nbsp; TLWBAT: use the HP35s = to solve order of operation problems, page 3 of contest.

3.&nb= sp; Chess Objective: en pa= ssant

Week 8:

1.&nb= sp; MathCounts/General Math objective: The learner will be able to solve problems involving Number Theory (2 days).

Week 9:

1.&nb= sp; Number Sense Objective: TLWBAT: solve number s= ense problems involving Roman Numerals and Arabic Numbers. Solve problems involving Mean, Median, and Mode.

2.&nb= sp; Calculator Applications Objective:&= nbsp; TLWBAT: use the HP35s = to solve order of operation problems, page 4 of contest.

3.&nb= sp; Chess Objective: pawn promotion

week 10:

1.&nb= sp; MathCounts/General Math objective: The learner will be able to solve problems involving Pattern Recognition (2 days).

Week 11:

1.&nb= sp; Number Sense Objective: TLWBAT: solve number s= ense problems involving Sums of Whole Numbers.&= nbsp; Solve Problems involving addition, subtraction, multiplication and division of mixed numbers and integers.

2.&nb= sp; Calculator Applications Objective:&= nbsp; TLWBAT: use the Hp35s = to solve order of operations problems, page 5 of contest.

3.&nb= sp; Chess objective: check= ing the King.

Week 12:

1.&nb= sp; MathCounts/General Math objective: The learner will be able to solve problems involving Plane Geometry (2 days).

Week 13:

1.&nb= sp; Number Sense Objective: TLWBAT: solve number s= ense problems involving More multiplication short-cuts and Percent Problems.

2. Calculator Applications Objective:<= span style=3D'mso-spacerun:yes'> TLWBAT: use the Hp35s to solve order of operation problems, page 6 of contest.

3.&nb= sp; Chess objective: castl= ing

Week 14:

1.&nb= sp; MathCounts/General Math objective: The learner will be able to solve problems involving Coordinate Geometry (2 days).

Week 15:

<= span style=3D'mso-list:Ignore'>1.&n= bsp; Number Sense Objective: TLWBAT: solve number sense problems involv= ing Conversion problems (either way): English/metric, length, area, capacity, time. Solve Problems involving consumer-type problems.

2.&nb= sp; Calculator Applications Objective:&= nbsp; TLWBAT: use the Hp35s = to solve order of operations problems, page 7 of contest.

3.&nb= sp; Chess objective: check= mate

Week 16:

1.&nb= sp; MathCounts/General Math objective: The learner will be able to solve problems involving Solid Geometry( 2 days).

Week 17:

1.&nb= sp; Number Sense Objective: TLWBAT: solve number sense problems involving substitution problems = and simple equations.

2.&nb= sp; Calculator Applications Objective:&= nbsp; TLWBAT: take a practic= e test and discuss mathematics.

3.&nb= sp; Chess Objective: drawn games.

Week 18:

1.&nb= sp; MathCounts/General Math objective: The learner will be able to solve problems involving Probability, Counting, & Combin= atorics.

= ; &n= bsp; = ; &n= bsp; B. Semester 2

Week 19:

1.&nb= sp; Number Sense Objective: TLWBAT: solve number s= ense problems involving square roots/cube roots and greatest common divisor (gcd) and least common multiple = (lcm) problems.

2.&nb= sp; Calculator Applications Objective:&= nbsp; TLWBAT: take a practic= e test and discuss mathematics.

3.&nb= sp; Chess objective: algeb= raic notation

Week 20:

1.&nb= sp; MathCounts/General Math objective: The learner will be able to solve problems involving Proportional Reasoning(2 days).

Week 21:

2.&n= bsp; Number Sense Objective: TLWBAT: solve number sense problems involv= ing Number Theory--prime numbers and divisors--and Perimeter/area of: square, rectangl= e, and circle.

3.&n= bsp; 2. &nb= sp; Calculator Applications Objective:&= nbsp; Take a practice Exam and discuss mathematics.

3.&nb= sp; Chess Objective: Endga= me strategies/ chess problems/ annotated master games.

Week 22:

1.&nb= sp; MathCounts/General Math objective: The learner will be able to solve problems involving Statistics (2 days).

Week 23:

1.&nb= sp; Number Sense Objectives: TLWBAT: solve number s= ense problems involving Ratio/Proportion and Inverses.

2.&nb= sp; Calculator Applications Objective:&= nbsp; Take a practice Exam and discuss mathematics.

3.&nb= sp; Chess Objective: Endga= me strategies/ chess problems/ annotated master games.

Week 24:

1.&nb= sp; MathCounts/General Math objective: The learner will be able to solve problems involving Logic (2 days).

Week 25:

1.&nb= sp; Number Sense Objectives: TLWBAT:&nb= sp; solve number sense problems involving Sets and Word Problems.

2.&nb= sp; Calculator Applications Objective:&= nbsp; Take a practice Exam and discuss mathematics.

3.&nb= sp; Chess objective: Endga= me strategies/ chess problems/ annotated master games.

Week 26:

1.&nb= sp; MathCounts/General Math objective: The learner will be able to solve problems involving Problem solving (miscellaneous types) (2 days).

Week 27:

1.&nb= sp; Number Sense Objectives: TLWBAT: solve number s= ense problems involving Pythagorean Theorem and Sequences.