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WEEK # 5 Monday, March 24, 2008 M6.A.1.1.1 – Represent common percents as fractions and/or decimals(e.g. 25% = ¼ =.25)-common percents are 1%, 10%, 25%, 50%, 75%, 100% . M6.A.1.4.1 - Model percents (through 100%) using drawings, graphs and/or sets (e.g., circle graph, base ten blocks, etc) FOCUS: NUMBERS AND OPERATIONS Terminating decimal – a decimal with a finite number of digits; it ends Repeating decimal – a decimal in which a digit or digits repeat endlessly PRACTICE QUESTION: Find the decimal equivalent of 2/3. Is it a terminating or repeating decimal? Find the decimal equivalent of 3/20. Is it a terminating or repeating decimal? M6.A.1.1.2 – Convert between fractions and decimals and/or differentiate between a terminating decimal and a repeating decimal Tuesday, March 25, 2008 M6.A.1.1.3 – Represent a number in exponential form M6. A.1.1.4 – Represent a mixed number as an improper fraction M6.A.1.2.1 – Compare and/or order whole numbers, mixed numbers, fractions and/or decimals –(do not mix fractions and decimals - decimals through thousandths). Exponential form – a way of writing repeated multiplication of a number using exponents Mixed number – a number that combines a whole number and a fraction Improper fraction – a fraction in which the numerator is greater than or equal to its denominator PRACTICE QUESTION: Write 2 x 2 x 2 x 2 x 2 x 3 in exponential form. Write 3½ as an improper fraction. Write 36/5 as a mixed number. Greatest Common Factor (GCF) – the largest number that is a factor of two or more numbers Wednesday, March 26, 2008 Least Common Multiple (LCM) – the smallest number, M6. A.1.3.1 – Find the Greatest Common Factor (GCF) of two numbers (through 50) and/or use the GCF to simplify fractions M6. A1.3.2 – Find the Least Common Multiple (LCM) of two numbers (through 50) an/or use the LCM to find the common denominator of two fractions M6.A.1.3.3 – Use divisibility rules for 2, 3, 5, and/or 10 to draw conclusions and/or solve problems Thursday, March 27, 2008 M6.A2.11 – Complete equations by using the following properties: associative, commutative, distributive, and identity other than zero, that is a multiple of two or more numbers Rules of Divisibility - a number is divisible by two if it ends in an even number - a number is divisible by 3 if the sum of its digits is divisible by 3 - a number is divisible by 5 if it ends in 0 or 5 - a number is divisible by 10 if it ends in a 0 PRACTICE QUESTION: Find the greatest common factor and least common multiple of the following numbers: 4 and 36 Associative Property – the property that states the way in which addends or factors are grouped does not affect the sum or product Commutative Property - the property that states the order of the addends or factors does not affect the sum or product Distributive Property – multiplying a sum by a number produces the same result as multiplying each addend by the number and adding the products Identity Property – the properties that state the sum of any number and zero is that number and the product of any number and one is that number PRACTICE QUESTION: What property is shown below: 12 + 0 = 12 a. Commutative Property b. Identity Property c. Distributive Property What property is shown below: 3 + (4 + 9) = (3 + 4) + 9 a. Commutative Property b. Associative Property c. Distributive Property PRACTICE QUESTION: Friday, March 28, 2008 M6.A.3.1.1 – Use estimation to solve problems involving whole numbers and decimals (up to 2digit divisors and 4 operations) M6.A.3.2.1 – Solve problems involving operations with whole numbers, decimals (through thousandths) and fractions (avoid complicated LCDs)straight computation or word problems. Use estimation to solve the problem: 352 + 812 – 99 = a. 1,065 b. 900 c. 1,100