Assignment pencil red pen highlighter textbook GP notebook
Assignment, pencil, red pen, highlighter, textbook, GP notebook, calculator Simplify. Write improper fractions as mixed numbers. 2) 1) +1 3) +1 +1 +1 total:
Rule: adding powers when multiplying When multiplying powers with the SAME base, SAME base the base stays the same and add the exponents. Examples:
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:
Power of a Power Rule: When raising a power to power, the base stays the same and multiply the exponents. Examples:
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…
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: Months (n) Total Stamps t(n) 0 1 2 3 4 5 120 132 144 156 168 180 b) How many stamps will she have after one year? She will have 264 stamps after one year. c) When will the book be filled? The book will be filled after 32 months.
BB – 1 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. 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 + 12 n – 120 380 = 12 n 12 12 n 31. 67 months Since n is not a whole number, then Lona will not be able to exactly fill her book with no stamps remaining.
BB – 2 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. 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. ”
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, …
BB – 3 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. With your partner, (i) Supply the next three terms for each sequence. (ii) 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.
BB – 3 (i) Supply the next three terms for each sequence. (ii) 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. Use the following table to organize your work. (i) Sequence a) 0, 2, 4, 6, 8, 10 __, 12 __, 14 __ (ii) Describe the pattern Add 2 (iii) Yes / No Yes Continue to fill in the table for parts (B) – (L).
(i) Sequence a) 0, 2, 4, 6, 8, 10 __, 12 __, 14 __ b) 1, 2, 4, 8, 16 __, 32 __, 64 __ c) 7, 5, 3, 1, – 1 __, – 3 __, – 5 __ d) 0, 1, 4, 9, 16 __, 25 __, 36 __ (ii) Describe the pattern (iii) Yes / No Add 2 Yes Multiply by 2 Yes Subtract 2 Yes Add next odd or next square No 8 9. 5 11 e) 2, 3. 5, 5, 6. 5, __, __ Add 1. 5 8 13 21 Add the previous 2 terms f) 1, 1, 2, 3, 5, __, __ Yes No g) 27, 9, 3, 1, __, __ Divide by 3 Yes 5 __, __ h) 40, 20, 10, __, Divide by 2 Yes i) 3, – 1 – 3, – 1, 3, 9, 17 __, 27 39 __, __ 8 11 j) – 4 – 1, 2, 5, __, 14 __ k) 3, 6, 12, 24 __, 48 __, 96 __ 125 l) 0, 1, 8, 27, 64, ___, 216 343 ___, ___ Add next even number No Add 3 Yes Multiply by 2 Yes Next cube No
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