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Preparing for Math 6 1) Students must MEMORIZE the MULTIPLICATION TABLES up to 12 x 12 = 144 to be successful in Math 6. A great portion of the Math 6 curriculum depends on a student’s ability to perform mental operations. For example, students MUST be able to multiply quickly and accurately in order to identify multiples & factors of whole numbers, prove if a number is prime or composite, name the least common multiple & greatest common factor of a set of numbers, reduce ratios, perform long division of decimals, and evaluate exponents. Common multiplication stumpers: 6 x 9 = 54 2) *If you are taking Math 6 next year in GW, you need to work on the following skills before school starts in the fall: 7 x 8 = 56 3 x 9 = 27 9 x 12 = 108 11 x 12 = 132 Master the 4 Operations (+, -, x, ÷) when working with WHOLE NUMBERS. This includes numbers that have multiple digits. For example, students should be able to perform the following operations WITHOUT calculators: 97 46 + 172 900 - 48 849 x 15 720 x 63 572 ÷ 11 = 3) Estimate answers by rounding decimals to the nearest whole number, the nearest tenth, and the nearest hundredth. Knowledge of decimal place value is an essential skill in middle school math. Ex: 7.563 ≈ 8 (nearest whole number) 7.563 ≈ 7.6 (nearest tenth) 7.563 ≈ 7.56 (nearest hundredth) 4) Students should know the following fraction, decimal and percent equivalencies: 1 4 = 0.25 = 25% 3 4 = 0.75 = 75% 1 2 = 0.5 = 50% 4 4 = 1.0 = 100% 5) Students should be able identify whether the application of the concept of perimeter, area or volume is appropriate for a given word problem. 6) Students should be able to add and subtract FRACTIONS and MIXED #’s, with and without common denominators, and express answers in simplest form. Ex: 2 1 + = 3 2 4 3 + = 6 6 7 6 = 1 1 6 7) You should be familiar with the most basic units of measurement for length, weight and liquid capacity in both the Metric System and the US Customary System. You should also be able to convert measurements from one unit to another. This will help you throughout your education because it applies to many subject areas. Length (Distance) Metric System 10 millimeters = 1 centimeter 100 centimeters = 1 meter 1,000 meters = 1 kilometer US Customary System 12 inches = 1 foot 3 feet = 1 yard 5,280 feet = 1 mile Weight (Mass) 1,000 milligrams = 1 gram 1,000 grams = 1 kilogram 16 ounces = 1 pound 2,000 pounds = 1 Ton Liquid Capacity (Volume) 1,000 milliliters = 1 Liter 1,000 Liters = 1 kiloliter 8 2 2 4 8) 9) Students must be able to add, subtract and multiply DECIMALS without using a calculator. Traditional algorithms are preferred. For example: 9 + 7.5 + 0.46 = 9.00 7.50 + 0.46 11 – 3.5 = 7.5 x 3.8 = 7.5 x 3.8 $9.50 x 4 = 11.5 - 3.4 x $9.50 4 Study the following mathematical cues & their corresponding operations: Addition Sum Total Altogether Increase Deposit 10) fluid ounces = 1 cup cups = 1 pint pints = 1 quart quarts = 1 gallon Subtraction Difference Take Away From Less Than Decrease Withdraw Multiplication Product Times Squared Cubed Of Division Quotient Divide Split Equally Students should know the following FRACTION & DECIMAL equivalencies: 1 = 0.1 10 6 3 = = 0.6 10 5 2 1 = = 0.2 10 5 7 = 0.7 10 3 = 0.3 10 8 4 = = 0.8 10 5 4 2 = = 0.4 10 5 9 = 0.9 10 5 1 = = 0.5 10 2 10 = 1 = 1.0 10