Good morning L O Find the nth term

Good morning! L. O. Find the nth term rule for a patterned sequence and use it to generate terms in that sequence Level 6

By the end of today’s lesson: 1) All of you will be able to identify the next term in a patterned sequence. (Level 5) 2) Most of you will be able to find the nth term rule and use it to find a term in an ascending sequence. (Level 6) 3) Some of you will be able to find the nth term and use it to find a term in a descending sequence. (Level 6)

Task: Draw the pattern for a 3 m section of fence and count how many pieces of wood are used

+3 +1 +3 +3

Task: Use the nth term rule to calculate how many pieces of wood are needed for a 14 m section of fence n=14 3 n+1 = (3 x 14)+1= =43

Task: Draw the pattern for a 3 m section of fence and count how many pieces of wood are used

Task: Rule is 5 n+2 Calculate the nth term rule for this For 14 m fence, sequence and use (5 x 14)+2= to work out how much wood is 72 needed= for a 14 m section of fencing -5 +5 +5

Number of huts (n) Matches 1 1 2 3 4 -5 6 11 16 21 +5 Rule is 5 n + 1 +5 +5

Number of matches = 5 n + 1 How many matches need for 50 huts? Matches = (5 x 50) + 1 = 251

Task: Work out the nth term rule and write down the value of the 100 th term in the sequence. -3 -3

Rule is -3 n+15 For 100 th term, (-3 x 100)+15 = =-285 - -3 -3 -3 - -3 =?

Find the nth term rule and use it to work out how many matches are needed for the 50 th pattern in these sequences: 1. Number of matches nth term rule 16 10 4 2. Matches in 50 th pattern nth term rule Number of matches 4 7 10 3. Number of matches 6 n-2 Matches in 50 th pattern nth term rule 3 5 7 Matches in 50 th pattern 298 3 n+1 151 2 n+1 101 13/12/2021 L. O. Find the nth term rule for a patterned sequence and use it to generate terms in that sequence (Level 6)

4. Number of matches nth term rule 3 n 3 6 12 9 5. Number of matches 8 n-4 4 12 20 Matches in 50 th pattern 396 nth term rule 7 n+1 15 8 22 7. Number of connecting rods in each shape 150 nth term rule 6. Number of matches Matches in 50 th pattern 351 nth term rule 4 n+1 5 9 13 rods in 25 th pattern 101

1. nth term rule Matches in 50 th pattern Number of matches 2. Number of matches 3. Number of matches nth term rule Matches in 50 th pattern 13/12/2021 L. O. Find the nth term rule for a patterned sequence and use it to generate terms in that sequence (Level 6) Name: Find the nth term rule and use it to work out how many matches are needed for the 50 th pattern in these sequences:

4. Number of matches 5. Number of matches 6. Number of matches 7. Number of connecting rods in each shape nth term rule Matches in 50 th pattern nth term rule lines in 25 th pattern

By the end of today’s lesson: 1) All of you will be able to identify the next term in a patterned sequence. (Level 5) 2) Most of you will be able to find the nth term rule and use it to find a term in an ascending sequence. (Level 6) 3) Some of you will be able to find the nth term and use it to find a term in a descending sequence. (Level 6)