VIEWS: 22 PAGES: 17 CATEGORY: Templates POSTED ON: 11/30/2012
November 30, 2012 Welcome to Class! Write down the assignment in your agenda Come see me to pass back papers We will get a seating chart tomorrow! PROBLEM OF THE WEEK! November 30, 2012 Notes Module 2 Unit 2 Day 1-G: Expressions with Exponents Exponent- the number of times a factor is multiplied. (the little number) Base- the factor (the big number) Power- the number being expressed by the exponent (the whole thing-base and exponent) Exponential Read Multiply Value Form 101 "10 to the 1st power" 10 10 102 "10 to the 2nd power" 10 x 10 103 104 Example 1: Write each expression in exponential form. a) 4x4x4 b) 9x9x9x9x9 Example 2: Find the value of each. b) 64 c) 30 a) 27 Example 3: If Dana’s school closes, a phone tree is used to contact each student’s family. The secretary calls 3 families. Then each family calls 3 other families, and so on. How many families will be notified during the 6th round of calls? Example 4: Simplify the expression. (23 . 6) - 32 November 30, 2012 Welcome to Class! Write the assignment in your agenda Put your homework on the top left corner of your desk PROBLEM OF THE WEEK! November 30, 2012 Notes Module 2 Unit 2 Day 2-G, S: Square Roots Inverse- opposite operation (undo) Square root- the inverse of squaring a number Radical sign- the symbol for square root (√ ) Example 1: Simplify a) 72 b) √49 2 c) √64 d) √81 e) √225 HINT: On big numbers, you can use prime factorization! Example 3: Evaluate the expression when z = 7. √29 + z Example 4: The area of a square cover for a whirlpool bath is 144 ft2. What is the length of each side of the cover? November 30, 2012 Welcome to Class! Write down the assignment in your agenda Put your homework on the top left corner of your desk Come see me to pass back papers Get a blue math book PROBLEM OF THE WEEK! November 30, 2012 Notes Module 2 Unit 2 Day 3-G: Expressions and Variables Numerical Expression- mathematical phrase that consists of only numbers and operation symbols Ex: 2 + 4 6÷2-3+12 Variable- symbol that represents a number Ex: x=3 Constant- value that does not change Algebraic Expression- expression with one or more variables Ex: n+2 5d 7b - 2 12x÷3 Example 1: Evaluate the expression when a = 3 and m = 9 a) 7+m b) 10 - a Example 2: Evaluate the expression when s = 5 and t = 10 a) 9s b) 100 t Example 3: Evaluate the expression when x = 7 a) 3x2 + 15 b) 5x ÷ 7 Example 4: Evaluate n ÷ 2+n for n = 4 Example 5: A dog walker charges $10 to walk a large dog and $6 to walk a small dog. She uses 10d + 6s to calculate her earnings, where d is the number of large dogs and s is the number of small dogs. How much does she earn for walking each group? a) 4 large dogs and 2 small dogs b) 6 small dogs November 30, 2012 Welcome to Class! Write down the assignment in your agenda Come see me to pass back papers Put your homework on the top left corner of your desk PROBLEM OF THE WEEK! November 30, 2012 Notes Module 2 Unit 2 Day 4: Mathematical Terminology ~MATH KEYWORDS~ Addition Subtraction Multiplication Division Minus Plus The difference of Times The sum of Divided by Decreased by The product of Increased by The quotient of Fewer than Multiplied by Total Divided into Less than Of More than Subtracted from Groups of Added to Take away ~TRICKY KEYWORDS~ - More than/less than - Take away - Subtracted from/added to - Divided into Example 1: Write each phrase as an algebraic expression. a) A number increased by 5 b) 7 less than a number c) 2 more than k d) 4 plus k e) 7 multiplied by 34 f) b divided by 14 g) 7 decreased by b h) n less than 19 1 i) of a number j) twice the number 3 k) 8 minus t Example 2: Write a word phrase for each expression. a) s + 4 b) 4s Example 3: Three brothers earn money by doing yard work. The brothers split the money equally. Write an expression that describes how much money each brother earns. November 30, 2012 Welcome to Class! Write the assignment in the agenda Come see me to pass back papers Put your homework on the top left corner of your desk PROBLEM OF THE WEEK! November 30, 2012 Notes Module 2 Unit 2 Day 5-G, S: Equivalent Expressions Distributive Property- multiply outside number to everything inside the parentheses Ex: 3(5 + 7) = 3 x 5 + 3 x 7 = Commutative Property- you can add or multiply in any order Ex: 2 + 4 = 4 +2 3x = x . 3 Example 1: Use the distributive property to solve this expression. 9(4 + 5) (8.1 - 2.4)5 (x + 3)4 7(8 - t) Example 2: A summer job as an assistant camp counselor pays $6.50 per hour. How much does the counselor earn for 8 hours? Use the distributive property to break down the decimal so it is easy to calculate mentally. November 30, 2012 Welcome to Class! Write down the assignment in your agenda Come see me to pass back papers Put your homework on the top left corner of your desk PROBLEM OF THE WEEK! November 30, 2012 Notes Module 2 Unit 2 Day 6: Combining Like Terms Term- a number, a variable, or a product of numbers and variables Ex: 10 x 10x 4xy Like terms- terms that have identical variables Coefficient- the number that is being multiplied by a variable Ex: 10x coefficient = 10 5t coefficient = 5 Constant term- term with NO variable Ex: 8 24 Like Terms 3x and 2x w and w 7 5 and 1.8 Unlike Terms 5x2 and 2x 6a and 6b 3.2 and n Identify which terms are like terms. 2 t 5a 3y2 7t x2 4z k 4.5y2 a 3 2 To combine like terms ADD the coefficients of all like terms Example 1: Simplify 4x + 5x 7y + 2y 4a + 3b +2a 6a2 -a2 + 16 November 30, 2012 Welcome to Class! Write down the assignment in your agenda Come see me to pass back papers Put your homework on the top left corner of your desk Get a blue math book PROBLEM OF THE WEEK! November 30, 2012 Notes Module 2 Unit 2 Day 7-G, A: Combining Like Terms Identify which terms are like terms. 2b b6 b x4 3b6 2x2 Examples: Simplify 45x - 37y + 87 5x3 + 3y + 7x3 - 2y - 4x2 2(a + 2a2) + 2b HINT: Use the DISTRIBUTIVE PROPERTY first! Example 4: Write an expression for the perimeter of the rectangle. Then simplify the expression. **Remember perimeter is the distance AROUND an object** 5n 6b 6b 5n Example 5: Write an expression for the perimeter of the triangle. Then simplify the expression. 2x + 3 3x + 2 x November 30, 2012 Welcome to Class! Write down the assignment in your agenda Put your homework on the top left corner of your desk Come see me to pass back papers PROBLEM OF THE WEEK! November 30, 2012 Welcome to Class! Turn in any missing assignments Write down the assignment in your agenda Ask any last minute questions before the test GOOD LUCK!! November 30, 2012