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Assignment, pencil, red pen, highlighter, textbook, GP notebook, calculator

total:. Assignment, pencil, red pen, highlighter, textbook, GP notebook, calculator. U2D1. Have out:. Simplify. Write improper fractions as mixed numbers. Bellwork:. 2). 3). 1). +1. +1. +1. +1. +1. +1. +1. +1. +1. +1. +1. +1. Rules of Exponents. Add to your notes:. Rule :.

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Assignment, pencil, red pen, highlighter, textbook, GP notebook, calculator

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  1. total: Assignment, pencil, red pen, highlighter, textbook, GP notebook, calculator U2D1 Have out: Simplify. Write improper fractions as mixed numbers. Bellwork: 2) 3) 1) +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1

  2. Rules of Exponents Add to your notes: Rule: adding powers when multiplying SAME base When multiplying powers with the SAME base, the base stays the same and add the exponents. Examples:

  3. Rules of Exponents Add to your notes: subtracting powers when dividing the SAME BASE Rule: When dividing powers with the SAME base, the base stays the same and subtract the exponents. Examples:

  4. Rules of Exponents Add to your notes: Rule: Power of a Power When raising a power to power, the base stays the same and multiply the exponents. Examples:

  5. Rules of Exponents Add to your notes: Power of a Product Rule: When raising a product to a power, the exponent is applied to EACH factor in the product. Examples: We will review more rules tomorrow, but let’s start working in our textbook…

  6. Lona received a stamp collection from her grandmother. The collection is in a leather book, and currently has 120 stamps. Lona joins a stamp club which sends her 12 new stamps each month. The stamp book holds a maximum of 500 stamps. BB – 1 a) Complete the table below: b) How many stamps will she have after one year? Months (n) Total Stamps t(n) She will have 264 stamps after one year. 0 120 1 132 c) When will the book be filled? 2 144 The book will be filled after 32 months. 3 156 4 168 5 180

  7. Lona received a stamp collection from her grandmother. The collection is in a leather book, and currently has 120 stamps. Lona joins a stamp club which sends her 12 new stamps each month. The stamp book holds a maximum of 500 stamps. BB – 1 d) Write an equation to represent the total number of stamps that Lona has in her collection after n months. Let the total be represented by t(n). She starts off with 120 stamps, and gains 12 stamps per month. Therefore, t(n) = 120 + 12 n Increase per month Initial value e) Solve your equation for n when t(n) = 500. Will Lona be able to exactly fill her book with no stamps remaining? How do you know? 500 = 120 + 12n –120 –120 Since n is not a whole number, then Lona will not be able to exactly fill her book with no stamps remaining. 380 = 12n 12 12 n  31.67 months

  8. Samantha was looking at one of the function machines in the last unit and decided that she could create a sequence generating machine by connecting the output back into the input. She tested her generator by dropping in an initial value of 8. Each output is recorded before it is recycled. BB – 2 a) The first result is 11, then 14, then 17, etc. What operation is the sequence generator using? The sequence generator is using “add 3.”

  9. BB – 2 b) When Samantha uses the initial value of –3 and the sequence generator “multiply by –2,” what are the first five terms of the sequence? –3, 6, –12, 24, – 48 c) What sequence will she generate if she uses an initial value of 3 and the generator “square”? 3, 9, 81, 6561, …

  10. Samantha has been busy creating new sequence generators and has created several sequences. Her teacher has also been busy creating sequences using his own devious methods. In your book, there is a list of both Samantha’s sequences and her teacher’s. BB – 3 With your partner, • Supply the next three terms for each sequence. • Describe in words how to find the next term. (iii) Decide whether the sequence could have been produced by repeatedly putting the output back into the machine as Samantha did in the previous problem.

  11. BB – 3 • Supply the next three terms for each sequence. • Describe in words how to find the next term. • Decide whether the sequence could have been produced by repeatedly putting the output back into the machine as Samantha did in the previous problem. Use the following table to organize your work. (i) Sequence (ii) Describe the pattern (iii) Yes / No 10 14 12 a) 0, 2, 4, 6, 8, __, __, __ Add 2 Yes Continue to fill in the table for parts (B) – (L).

  12. (i) Sequence (ii) Describe the pattern (iii) Yes / No 10 14 12 Yes a) 0, 2, 4, 6, 8, __, __, __ Add 2 16 64 32 Yes b) 1, 2, 4, 8, __, __, __ Multiply by 2 –1 –5 –3 Yes c) 7, 5, 3, 1, __, __, __ Subtract 2 16 36 25 No d) 0, 1, 4, 9, __, __, __ Add next odd or next square 8 11 9.5 Yes e) 2, 3.5, 5, 6.5, __, __, __ Add 1.5 8 21 13 No f) 1, 1, 2, 3, 5, __, __, __ Add the previous 2 terms Yes g) 27, 9, 3, 1, __, __, __ Divide by 3 5 Yes h) 40, 20, 10, __, __, __ Divide by 2 17 No i) 3,–1 –3, –3, –1,3, 9, __, __, __ Add next even number 27 39 11 8 14 Yes j) –4 –1, 2, 5, __, __, __ Add 3 48 24 96 Yes k) 3, 6, 12, __, __, __ Multiply by 2 125 No l) 0, 1, 8, 27, 64, ___, ___, ___ Next cube 216 343

  13. Finish today's assignment: BB 1 - 11 & Exponents WS

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