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Math Club 2018-2019
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Click on Subtopics for more information Class Dates & Materials
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Topic |
Subtopics |
Notes |
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Number Sense |
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Prime numbers. Divisibility rules for 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10. Factors, and how to factor a number. Greatest Common Factor (GCF). Multiples, and how to find the Least Common Multiple (LCM). 5th graders: How to find the prime factorization of a number, and using it to find the GCF and LCM. |
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Number Sense |
Finding equivalent fractions, and reducing fractions to lowest terms. How to convert between fractions, decimals, and percentages. (Conversion between these different number representations is a fundamental skill that will be used throughout the rest of Math Club, so it's important to master this skill early.) 5th graders: Explanation of repeating decimals. (Do not cover the algebraic method for converting a repeating decimal to a fraction, as it is too advanced for even 5th graders. It's in the handout in case kids want to explore on their own.) Reducing fractions using prime factorization and cancelling terms from numerator and denominator. |
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Number Sense |
Ratios and proportions. Equivalent ratios and comparing two ratios to see if they're equivalent. Continued ratios (more than two quantities). Improper fractions vs. proper fractions vs. mixed numbers. How to add and subtract fractions, especially with different denominators. How to multiply fractions. 5th graders: Explain reciprocal, and also how to divide fractions. |
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Measurement
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Practice converting between all different kinds of units (simple whole number conversions only) -- days/weeks, inches/feet, meters/kilometers, pounds/ounces, etc. 5th graders: Multi-stage and complex unit conversions (inches per minute --> miles per hour) as well as other conversions requiring decimals (liter --> quart). |
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Measurement |
Calculate area of a rectangle. Calculate area of a triangle. Calculate area of odd shapes by composing them into rectangles and triangles. Explain perimeter. 5th graders: How to compute the area and circumference of circles. |
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Algebraic Sense |
Explain what a variable is, and how to write an expression using a variable. Explain that 6x is shorthand for (6 times x). 5th graders: Expressions involving inequalities, and the transitive property (if a>b and b>c, then a>c). |
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Algebraic Sense |
Explain how to write an equation containing a single variable, and solve using algebraic techniques. This is very hard for 4th graders, but expose them to it anyway. 5th graders: Two-variable equations (two equations and two unknowns). |
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Number Sense
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Explain what an exponent is (34 is 3x3x3x3). Also cover the term "square number", "cube number", "square root", and "cube root". Explain the precedence order for operations, both when parentheses are present and not present (first exponents, then mult/div, then add/subtract). 5th graders: Non-base-10 numbers, for example base-2 and base-8 numbers. |
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Geometric Sense |
Explain what an angle is, and what the unit of measurement is (degrees). Explain the properties of a triangle (sum of angles is 180). Talk about different kinds of triangles (right, isoceles, equilateral, scalene). 5th graders: Review previous geometry topics, such as perimeter and area of circles, and area of triangles. |
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Geometric Sense |
Explain the properties of a quadrilateral (sum of angles is 360), and different classifications of quadrilaterals (rhombus, parallelogram, square, rectangle, etc.). Also briefly touch on other regular polygons (pentagons, hexagon, etc.). Also cover the coordinate system (x-y grid). 5th graders: Slope and y-intercept. |
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Geometric Sense |
Talk about 3-dimensional rectangular solids. Calculate surface area and volume. 5th graders: Other solids like cylinders, cones, and spheres. |
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Geometric Sense |
Pythagorean theorem, including how to apply the Pythagorean theorem to the diagonals of squares and rectangles as well. |
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Probability and Statistics |
Explain how to calculate mean, mode, median. 5th graders: Sets (union, intersection, complement) as well as venn diagrams. |
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Probability and Statistics |
Calculate the probability of a single event occurring, by taking the number of successful outcomes and dividing by number of total possible outcomes. |
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Probability and Statistics |
Calculate the probability of two events occurring, by multiplying the probability of each individual event occurring. |
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Probability and Statistics |
Explain how to calculate the number of permutations and combinations in a given set. |
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March 10, 2017 |
MATH IS COOL |
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March 25, 2017
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WASHINGTON STATE MATH CHAMPIONSHIP (BLAINE) **Early Bird Registration by Feb 26, 2016. No Registration after April 1, 2016. |
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Algebraic Sense |
Review all subtopics |
Review + practice for competition |
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Number Sense |
Review all subtopics |
Review + practice for competition |
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Geometric Sense |
Review all subtopics |
Review + practice for competition |
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Probability and Statistics |
Review all subtopics |
Review + practice for competition |
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APRIL 29, 2017 |
WASHINGTON STATE MATH OLYMPIAD (Seattle) **Registration opens on Feb 1, 2017 |
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LAST CLASS |
Regroup after competition |
Talk about the problems from the competition. |
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