What questions might you ask yourself to help in your investigation? Think back on the questions you have been asked through the course of the activities so far this year for ideas. Bridge to Algebra Unit Teacher Guide Lesson 13 Exponents and the operations of multiplication and division Aim: How does multiplication and division behave when working with exponents? (To the Teacher: Today we want to see how the operations of multiplication and division evolve into working with exponents and create generalizations of the observed behavior. The first activity will build on yesterday’s observations. Then we build from there.) Opening Activity: Look back at the chart in yesterday’s lesson… 25 55 105 24 54 104 23 53 103 22 52 102 21 51 101 Do you observe anything in this table that will help us to understand what 22 times 23 equals? How about 51 times 53 equals? Activity 2: Multiplication and Exponents Of the representations below rewrite into groups the ones that are equal. (You may use a calculator.) 35 31 * 32 34 34 * 32 (3*3)*(3*3*3) (3*3*3*3)*(3*3) (3*3)*(3*3) 3*3*3*3*3*3 32 * 31
What questions might you ask yourself to help in your investigation? Think back on the questions you have been asked through the course of the activities so far this year for ideas. Bridge to Algebra Unit Teacher Guide Lesson 13 Exponents and the operations of multiplication and division Aim: How does multiplication and division behave when working with exponents? (To the Teacher: Today we want to see how the operations of multiplication and division evolve into working with exponents and create generalizations of the observed behavior. The first activity will build on yesterday’s observations. Then we build from there.) Opening Activity: Look back at the chart in yesterday’s lesson… 25 55 105 24 54 104 23 53 103 22 52 102 21 51 101 Do you observe anything in this table that will help us to understand what 22 times 23 equals? How about 51 times 53 equals? Activity 2: Multiplication and Exponents Of the representations below rewrite into groups the ones that are equal. (You may use a calculator.) 35 31 * 32 34 34 * 32 (3*3)*(3*3*3) (3*3*3*3)*(3*3) (3*3)*(3*3) 3*3*3*3*3*3 32 * 31
BridgingToAlgebra-Nate1.docx