## 6TH GRADE CURRICULUM

These lessons build on concepts introduced in the 5th grade program. They presume that the student is already capable at computing with fractions and decimals and with the area formulas for rectangles, triangles, and circles. New concepts covered here include exponents, the Pythagorean theorem, rules of algebra, and volumes of solids. Free weeks are included so as to provide some schedule slack. The subjects presented in those weeks are optional extras. Free week #2 is scheduled to precede the holiday break, to provide a light, fun lesson for kids when they are preoccupied with Holiday arrangements. All free week lessons can slide forward or backward at the discretion of the coach.

Sixth graders who are doing math team for the first time, may find that they are in the minority in the year 1 program. If this causes a serious problem for the student, they can consider (at the discretion of the coaches) transferring from Year 1 to Year 2 beginning with lesson 7.

• Lesson 1 - Diagnostic quiz, The Juniper Green Game
• Lesson 2 - Exponents, powers of 10, scientific notation for large numbers
• Lesson 3 - Fraction and Decimal Conversions
• Lesson 4 - Canceling Like Factors in Fractions
• Lesson 5 - Fraction review and perimeter
• Free week #1 - Drawing pictures, making tables (optional)
• Lesson 6 - Areas of plane figures
• Lesson 7 - Circles, pi, areas, circumference and rounding
• Lesson 8 - Square roots and other roots
• Lesson 9 - Pythagorean theorem
• Lesson 10 - Long Problem Solving: the Mango Problem
• Lesson 11 - Prime factors, greatest common factors and least common multiples
• Lesson 12 - Multiplying negative numbers and order of operations
• Lesson 13 - Evaluating expressions, negative numbers
• Free week #2 - Significant Problem:The Peanut Problem
• Lesson 14 - Solving x + a = b, x - a = b
• Lesson 15 - Simplifying expressions, combining terms
Note: This is the first lesson that includes a second weekly meeting of practice competitions
• Lesson 16 - Solving: ax + b = c
• Lesson 17 - Probability
• Free week #3 - Choice of Long Problems
• Lesson 18 - Canceling and permutations
• Lesson 19 - Combinations
• Lesson 20 - Cartesian Coordinates
• Lesson 21 - Math Olympiad Review Quiz, Statistics
• Lesson 22 - Rates and Proportions
• Lesson 23 - Problem Solving - Rate, Time, Distance
• Lesson 24 - Volumes, Absolute Values, Math Jeopardy
• Free week #4 - A selection of Long Problems
• Lesson 25 - Review: Using algebra to solve geometry and statistics problems
• Substitute Free Week - Guess and Check (This lesson can be substituted for any free week)