## SECOND YEAR CURRICULUM

These lessons build on concepts introduced in the first year 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, so as 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 - How to Solve the Mango
Problem
Lesson 11 - Prime factors, greatest common
factors and least common multiples
Lesson 12 - Multiplying negative numbers and
order of operations
Free week #2 - Significant Problem:The Peanut
Problem
Lesson 13 - Evaluating expressions, negative
numbers
Lesson 14 - Solving x + a = b, x - a = b
Lesson 15 - Simplifying expressions,
combining terms *First
scheduled session for second weekly meeting: practice competitions*
Lesson 16 - Solving: ax + b = c
Lesson 17 - Probability
Free week #3 - Choice of Long Problems
Lesson 18 - Canceling, permutations and
factorials
Lesson 19 - Combinations
Lesson 20 - Working with Percents
Lesson 21 - Math Olympiad
Review Quiz, Statistics
Lesson 22 - Rates and Proportions
Lesson 23 - Problem Solving - Rate,
Time, Distance
Free week #4 - A selection of Long
Problems
Lesson 24 (LAST LESSON) - Volumes,
Absolute Values, Math Jeopardy
Lesson 25 - Review: Using algebra to solve
geometry problems