Algebra Goal 5 – To Simplify Expressions Involving Integer Exponents Learning Outcomes 5.1 To simplify expressions containing multiple exponents (integer values) using: Multiplication property of exponents; zero and negative exponents Chapter References 8.1, 8.2 Division property of exponents Chapter Reference 8.4 Scientific notation Chapter Reference 8.5 * ^ # Differentiated Instructional Activities Text Book References* Chapter Resource Book References Assessments# Understanding the multiplication rules is a process of counting the number of factors with the same base. This leads to the addition rule. Writing out fully each problem at first usually leads to complete understanding quickly. Problems usually occur working with numbers not variables. Setting up a table of powers form +3 to – 3 of ten and showing how moving down is division by 10, is a way to demonstrate 0 and negative exponents. Pg. 443-445 Ex. 1-17 Pg. 446-448 Ex. 1-69 Real Life Applications Pg. 30 ex: 1 – 2 Alternative Assessment and Math Journal pg. 107 ex: 1 Interdisciplinary Application Pg. 42 WT: pg. 62^ WT: pg. 63 HQ pg. 63^ Pg. 449-451 Ex. 1-13 Pg. 452-453 Ex. 1-67 Ch. 8 Quiz 1 pg. 44 ex: 1 – 6 WT: pg. 65^ Understanding the division rules is a process of counting the number of factors with the same base. This leads to the subtraction rule. Writing out fully each problem at first usually leads to complete understanding quickly. Problems usually occur working with numbers not variables. Zero and negative exponents are different ways of writing numbers that result from using the division rule. Pg. 462-464 Ex. 1-11 Pg. 465-467 Ex. 1-64 Use of a calculator with built in scientific notation is useful in teaching this topic. Estimation skills need to be stressed. Pg. 469-471 Ex. 1-17 Pg. 472-473 Ex. 1-69 Ch. 8 Quiz 2 pg. 71 ex: 1 – 7 WT: pg. 66 HQ: pg. 66 HQ: pg 67 SAT/ACT Chapter Test Pg. 106 ex: 1, 2, 5, 6 The examples noted are for reference only. Teacher has the decision to assign number of examples to meet the needs of the different abilities of students in the class. These references can be found in the Warm-up Transparencies (WT) and Daily Homework Quiz (HQ) booklet. End of Chapter Assessments as well as periodic quizzes are to be determined by the teacher Page 1 Learning Outcomes CAPT Practice * ^ # Differentiated Instructional Activities Text Book References* Chapter Resource Book References Energy, pg 447 Pennies, pg.447 Spanish, pg 467 History, pg 473 Assessments# Additional CAPT Practice Forecasting Population trends(1997) The examples noted are for reference only. Teacher has the decision to assign number of examples to meet the needs of the different abilities of students in the class. These references can be found in the Warm-up Transparencies (WT) and Daily Homework Quiz (HQ) booklet. End of Chapter Assessments as well as periodic quizzes are to be determined by the teacher