Sewanhaka High School Mrs. Lidowsky, Principal Math 8 Mr. Long, Teacher Period:______________ Date:________________________ Name:___________________________________ H.W. #1: Ditto DO-NOW #1: Answer the following questions: 1) Bruce Wayne is working with the following number pattern: 2, 4, 16, 256, ______ According to the pattern, which number would come next and why? 2) Find the perimeter and area of a: a) square whose each side equals 14 feet b) rectangle whose length equals 8 cm and width equals 6.5 cm Topic: Algebra Main Idea: Powers and Exponents Aim: RECALL Monday, a tree grows three apples. Everyday thereafter the tree grows triple the amount of apples the previous day. How many apples will the tree have on Friday? NOTES DAYS OF WEEK MONDAY TUESDAY WEDNESDAY THURSDAY FRIDAY Factor Form Power of 3 (EXPONENTIAL FORM) Go back to Thursday’s power of 3, 34, what is the 3 called and what is the small 4 called? What is 30 ? What does the word evaluate mean? Evaluate: Write each in exponential form: 3) 2 x 2 x 5 x 5 x 7 x 7 x 7 = 4) 3 x 2 x 2 x 3 x 3 x 2 x 3 x 2 x 3 = 5) 3 x 4 x 3 x 3 x 6 x 6 = 1) 73 = 2) 24 x 32 = Value of Power Drill: 1) Express four to the 5th power using exponents. 2) Write 16 x 16 x 20 x 20 using exponents. 3) Evaluate 7 x 63 x 103. 4) ((2)(3))3 = 5) (22)3 = SUMMARY: A power is a ________________________________________________________________. Exponential form means _____________________________________________________. An exponent _______________________________________________________________________. If time: 4) Write 7 x 7 x 7 x 7 using exponents. 8) Evaluate 62 x 23. 5) Write 2x3x3x2x2x7 using exponents. 6) Evaluate 43. 9) The average distance from Jupiter to the Sun is 4.84 x 108 miles. a) Write an expression for 108. 10) Write as a product of prime factors using exponents (Make a factor tree for each): (a) 36 (b) 200 b) Evaluate 4.84 x 108. 7) Evaluate 92.