Mr. Northcutt's Math Classes Class Presentation
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1 Mr. Northcutt's Math Classes Class Presentation September 11, 2009 (8) Transition Math Math 1 Math 2 1
2 Transition Math Daily Summary Announcements QUIZ: Section 1-1 thru 1-3 on Wednesday Topic: Evaluating Expressions (Day 1) 1. Evaluating Variable Expressions ASSIGNMENT (14 Problems) EX 1-3 (D1): 1-13 ODD, 19, 22, 26, 30, o Write the ORIGINAL PROBLEM for ALL PROBLEMS! 2
3 EX 1-2 (D2): 25-30, 32, 39, 41* (7 + 4) = ( ) 5 = 45 Get a Whiteboard 3
4 Quick Review What is a Mathematical EXPRESSION? What are the parts we can use to make an expression? What is the difference between a NUMERIAL EXPRESSION and a VARIABLE EXPRESSION? What does it mean to SIMPLIFY an expression? What rules have we agreed to use to simplify an expression? 4
5 Let s Think about this a little What is the difference between the expressions? d Could you simplify both expressions? If not, WHY? 5
6 Evaluating a VARIABLE Expression In order to evaluate a Variable Expression you need to have VALUES for the variable(s). EVALUATE for x = x 6
7 Let s Give It a Try Evaluate for a = 3 and b = 4 2ab + b Evaluate for w = 2 and z = 3 w + z 3 7
8 Math 1 Daily Summary Announcements QUIZ: Section 1-1 thru 1-2 on Tuesday Topic: Order of Operations (D1) Simplifying Expressions using the Order of Operations Evaluating Expressions ASSIGNMENT (16 Problems): EX 1-2 (D2): 11, 12, 13, 15, 18, 20, 25, 26, 29, 34, 35, 37, 55, 72, 75, 79, 80 8
9 EX 1-2 (D1): 6, 8, 10, 42, 45, 47, 50, GET A WHITEBOARD! 9
10 Quick Review Who can tell me what these mean? SIMPLIFY POWER BASE EXPONENT ORDER OF OPERATIONS EVALUATE What is the relationship between Evaluating, Simplifying & the Order of Operations? When do you use the Order of Operations? 10
11 Example - Using Formulas Use the FORMULA to find the interest where I is the interest earned, P is the principal (amount invested), r is the interest rate (as a decimal), and t is the number of years invested. I = P r t 1. You invest $1000 for 10 years at an interest rate of 5%. 2. You invest $1000 for 5 years at an interest rate of 10%. 11
12 Math 2 Daily Summary Announcements QUIZ: Lessons 1.4 thru 1.5 on Wednesday! Topic: Quiz 1.1 thru 1.3 Topic: Describing and Measuring Angles Defining & Naming Angles Measuring Angles Classifying Angles ASSIGNMENT (18 Problems): MR (pg. 23): 1d, 8de EX 1.4 (D1): 1d, 3, 6, 15-20d, 21, 43, 45d, 48, 51d, 52d, 64 12
13 13 EX 1.3 (D2): 19, 21, 28, 31, 34, 42e, 43, 49d, 53, 55, 56, 59, QUIZ: 1d, 2-7d, Midpoint = (1,4) Midpoint = (, 1) S(11, 9) 31. PQ = 20 = D 42. Use the Distance Formula to find PM and then double it NOT Congruent km 53. a = 191yd b. 40 yd c. about 1.5 min; find the total distance, about 230 yd, and divide by 150 yd/min % students 59. x = 30 QUIZ REVIEW 1. See sketch 2. DE = AB = 5 4. AC = BD = CE = BE = Midpoint = (0,1); RS 5.7
14 Vertex Defining and Naming Angles ANGLE: An ANGLE consists of two different rays with the same endpoint. The rays are the SIDES of the angle. The endpoint is the VERTEX of the angle. B Sides A BAC AB & AC are Sides. A C CAB A is Vertex. Single letter ONLY if angle is UNAMBIGUOUS! 14
15 Measuring Angles Use a Protractor Angles measure in units called Degrees ( o ) If an angle ABC has a measure of 32 o you can write: WORDS: The measure of ABC is 32 SYMBOLS: m ABC = 32 15
16 Protractor Postulate PROTRACTOR POSTULATE: (See pg. 24 in book) The MEASURE of angle AOB is equal to the absolute value of the difference between the real numbers for ray OA and ray OB. A 120 O m AOB = = = 120 B 16
17 Classifying Angles Can classify as Acute, Right, Obtuse or Straight ACUTE Angle m A < 90 o RIGHT Angle m A = 90 o OBTUSE Angle STRAIGHT Angle 90 o < m A < 180 o m A = 180 o 30 o 90 o 120 o 180 o A A A A 17
18 Example Name all the angles in the diagram. Which angle is a Right Angle? P R Q S 18
Mr. Northcutt's Math Classes Class Presentation
Mr. Northcutt's Math Classes Class Presentation Monday, September 22, 2008 (14) 1 Math 1 Math 2 Applied Math Math 1 Daily Summary Announcements None Class Objectives Quiz Review Multiplication & Division
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