A lesson to investigate sequences Mixed Starter M A T H S MIXED STARTER Is 57 a prime number? Explain your answer: Give two examples of numbers that are both square numbers and cube numbers A teacher has 8 boys and 9 girls in her class. She chooses one of them at random. What is the probability that she chooses a girl? Find 95% of 80 Find 3 5 of 50 A lesson to investigate sequences Calculate the area of the shapes below 7m 4m 10m 5m 10m 11m 6m LO: To generate sequences and spot patterns
A lesson to investigate sequences Tuesday, 01 January 2019Tuesday, 01 January 2019 Core: will be able to spot a pattern Challenge: will be able to generate a sequence Aspire: to generate sequences using a derived method Vivo Star: Demonstrate a high level of conceptual understanding A lesson to investigate sequences LO: To generate sequences and spot patterns
A lesson to investigate sequences Puzzle : Random sequences M A T H S ACQUIRE FLUENCY 6, 13, 20, 27, 𝟑𝟒, 𝟒𝟏, … 4, 2, 1, 1 2 , 𝟏 𝟒 , 𝟏 𝟖 , … 4, 12, 36, 𝟏𝟎𝟖, 𝟑𝟐𝟒, … 4, 6, 9, 13, 𝟏𝟖, 𝟐𝟒, … 2, 5, 7, 12, 19, 𝟑𝟏, 𝟓𝟎, … 5, 25, 15, 75, 65, 𝟑𝟐𝟓, 𝟑𝟏𝟓,… 1, 4, 9, 16, 𝟐𝟓, 𝟑𝟔, … 27, 9, 3, 3, 𝟏, 𝟑… ? a ? b c ? d ? A lesson to investigate sequences ? e ? f ? g h ? LO: To generate sequences and spot patterns
A lesson to investigate sequences Pictures and rules M A T H S TALK ABOUT IT Look at the sequence below: 14, 18, 22, 26, 30….. Write the next two numbers in the sequence Write down the rule for the sequence A lesson to investigate sequences Complete this sequence: 23, 19, __, 11, 7, __ Generate the first 5 terms of the sequence below Third term: 5 Rule: multiply by 2, subtract 1 LO: To generate sequences and spot patterns
A lesson to investigate sequences Sequences and pictures M A T H S HAVE A GO A path is being built around a swimming pool, as follows: Draw the path for a swimming pool which is 4 squares long. Calculate the number of tiles needed for a swimming pool 5 squares long. Write a term-to-term rule to describe the pattern A lesson to investigate sequences LO: To generate sequences and spot patterns
1 2 3 Point Question Point Question Point Question Quiz H M A T H S HAVE A GO 1 1 X X 2 X 3 X 4 X 5 Point Question X 6 X 7 X 8 X 9 X 10 2 1 X X 2 X 3 X 4 X 5 Point Question A lesson to investigate sequences X 6 X 7 A lesson to introduce term to term sequences X 8 X 9 X 10 3 1 X X 2 X 3 X 4 X 5 Point Question X 6 X 7 X 8 X 9 X 10 LO: To use a term to term rule effectively LO: To generate sequences and spot patterns
X 1 Point Question Quiz H Continue this sequence: 3, 5, 7, 9, __, __ M A T H S HAVE A GO 1 Point Question Continue this sequence: 3, 5, 7, 9, __, __ 11 13 A lesson to investigate sequences A lesson to introduce term to term sequences The question passes over to the other team! X LO: To use a term to term rule effectively LO: To generate sequences and spot patterns
X 1 Point Question Quiz H Continue this sequence: 10, 6, 2, -2, __, __ M A T H S HAVE A GO 1 Point Question Continue this sequence: 10, 6, 2, -2, __, __ -6 -10 A lesson to investigate sequences A lesson to introduce term to term sequences The question passes over to the other team! X LO: To use a term to term rule effectively LO: To generate sequences and spot patterns
X 1 Point Question Quiz H Continue this sequence: 1, 7, 13, 19, __, __ M A T H S HAVE A GO 1 Point Question Continue this sequence: 1, 7, 13, 19, __, __ 25 31 A lesson to investigate sequences A lesson to introduce term to term sequences The question passes over to the other team! X LO: To use a term to term rule effectively LO: To generate sequences and spot patterns
X 1 Point Question Quiz H Continue this sequence: M A T H S HAVE A GO 1 Point Question Continue this sequence: -4, 4, 12, 20, __, __ 28 36 A lesson to investigate sequences A lesson to introduce term to term sequences The question passes over to the other team! X LO: To use a term to term rule effectively LO: To generate sequences and spot patterns
X 1 Point Question Quiz H Continue this sequence: 2, 4, 8, 16, __, __ M A T H S HAVE A GO 1 Point Question Continue this sequence: 2, 4, 8, 16, __, __ 32 64 A lesson to investigate sequences A lesson to introduce term to term sequences The question passes over to the other team! X LO: To use a term to term rule effectively LO: To generate sequences and spot patterns
X False 1 Point Question Quiz H M A T H S HAVE A GO 1 Point Question True or False, all sequences increase or decrease at the same rate? False A lesson to investigate sequences A lesson to introduce term to term sequences The question passes over to the other team! X LO: To use a term to term rule effectively LO: To generate sequences and spot patterns
X 1 Point Question Quiz H Continue this sequence: M A T H S HAVE A GO 1 Point Question Continue this sequence: 0.2, 0.4, 0.6, 0.8, ___, ___ 1.0 1.2 A lesson to investigate sequences A lesson to introduce term to term sequences The question passes over to the other team! X LO: To use a term to term rule effectively LO: To generate sequences and spot patterns
X 1 Point Question Quiz H Draw the next pattern in this sequence M A T H S HAVE A GO 1 Point Question Draw the next pattern in this sequence A lesson to investigate sequences A lesson to introduce term to term sequences The question passes over to the other team! X LO: To use a term to term rule effectively LO: To generate sequences and spot patterns
Quiz M A T H S HAVE A GO 1 Point Question Which of these words means a number or shape in a sequence? TERM DIFFERENCE PATTERN RULE A lesson to investigate sequences TERM A lesson to introduce term to term sequences The question passes over to the other team! X LO: To use a term to term rule effectively LO: To generate sequences and spot patterns
X 1 Point Question Quiz H Continue this sequence: M A T H S HAVE A GO 1 Point Question Continue this sequence: 30, 10, -10, -30, ___, ___ -50 -70 A lesson to investigate sequences A lesson to introduce term to term sequences The question passes over to the other team! X LO: To use a term to term rule effectively LO: To generate sequences and spot patterns
Quiz M A T H S HAVE A GO 2 Point Question Given the term-to-term rule below, generate the first five terms of the sequence First term: 5 Rule: add 11 A lesson to investigate sequences A lesson to introduce term to term sequences 5, 16, 27, 38, 49… The question passes over to the other team! X LO: To use a term to term rule effectively LO: To generate sequences and spot patterns
Quiz M A T H S HAVE A GO 2 Point Question Given the term-to-term rule below, generate the first five terms of the sequence First term: -3 Rule: subtract 4 A lesson to investigate sequences A lesson to introduce term to term sequences -3, -7, -11, -15, -19… The question passes over to the other team! X LO: To use a term to term rule effectively LO: To generate sequences and spot patterns
Quiz M A T H S HAVE A GO 2 Point Question Given the term-to-term rule below, generate the first five terms of the sequence Second term: 7 Rule: add 8 A lesson to investigate sequences A lesson to introduce term to term sequences -1, 7, 15, 23, 31… The question passes over to the other team! X LO: To use a term to term rule effectively LO: To generate sequences and spot patterns
Quiz M A T H S HAVE A GO 2 Point Question Given the term-to-term rule below, generate the first five terms of the sequence Fifth term: 13 Rule: add 15 A lesson to investigate sequences A lesson to introduce term to term sequences -47, -32, -17, -2, 13… The question passes over to the other team! X LO: To use a term to term rule effectively LO: To generate sequences and spot patterns
Quiz M A T H S HAVE A GO 2 Point Question Given the term-to-term rule below, generate the first five terms of the sequence Fourth term: 7 Rule: Add 9 A lesson to investigate sequences A lesson to introduce term to term sequences -20, -11, -2, 7, 16… The question passes over to the other team! X LO: To use a term to term rule effectively LO: To generate sequences and spot patterns
Quiz M A T H S HAVE A GO 2 Point Question Given the sequence below, state the term-to-term rule -4, -10, -16, -22, -28… A lesson to investigate sequences A lesson to introduce term to term sequences Subtract 6 The question passes over to the other team! X LO: To use a term to term rule effectively LO: To generate sequences and spot patterns
Quiz M A T H S HAVE A GO 2 Point Question Given the sequence below, describe the pattern of the dots A lesson to investigate sequences A lesson to introduce term to term sequences Add two to each row and column, one on the end of each end of the lines The question passes over to the other team! X LO: To use a term to term rule effectively LO: To generate sequences and spot patterns
Quiz M A T H S HAVE A GO 2 Point Question Given the sequence below, write the term-to-term rule 0.3, 1.5, 2.7, 3.9, 5.1… A lesson to investigate sequences A lesson to introduce term to term sequences Add 1.2 The question passes over to the other team! X LO: To use a term to term rule effectively LO: To generate sequences and spot patterns
Quiz M A T H S HAVE A GO 2 Point Question Given the sequence below, write the term-to-term rule -7, -3, 1, 5, 9 A lesson to investigate sequences A lesson to introduce term to term sequences Add 4 The question passes over to the other team! X LO: To use a term to term rule effectively LO: To generate sequences and spot patterns
Quiz M A T H S HAVE A GO 2 Point Question Given the term-to-term rule, generate the first five terms of the sequence Second term: 10 Rule: Subtract 8 A lesson to investigate sequences A lesson to introduce term to term sequences 18, 10, 2, -6, -14 The question passes over to the other team! X LO: To use a term to term rule effectively LO: To generate sequences and spot patterns
Quiz M A T H S HAVE A GO 3 Point Question Given the term-to-term rule below, generate the first five terms of the sequence First term: 3 Rule: multiply by 10, subtract 4 A lesson to investigate sequences A lesson to introduce term to term sequences 3, 26, 256, 2556, 25556 The question passes over to the other team! X LO: To use a term to term rule effectively LO: To generate sequences and spot patterns
Quiz M A T H S HAVE A GO 3 Point Question Given the term-to-term rule below, generate the first five terms of the sequence First term: 6 Rule: Divide by 2, add 3 A lesson to investigate sequences A lesson to introduce term to term sequences 6, 6, 6, 6, 6… The question passes over to the other team! X LO: To use a term to term rule effectively LO: To generate sequences and spot patterns
Quiz M A T H S HAVE A GO 3 Point Question Given the term-to-term rule below, generate the first five terms of the sequence Fourth term: 0 Rule: Multiply by 2, add 4 A lesson to investigate sequences A lesson to introduce term to term sequences -3.5, -3, -2, 0, 4 The question passes over to the other team! X LO: To use a term to term rule effectively LO: To generate sequences and spot patterns
Quiz M A T H S HAVE A GO 3 Point Question Given the term-to-term rule below, generate the first five terms of the sequence. Third term: 29 Rule: Multiply by 3, add 5 A lesson to investigate sequences A lesson to introduce term to term sequences 1, 8, 29, 92, 281… The question passes over to the other team! X LO: To use a term to term rule effectively LO: To generate sequences and spot patterns
Quiz M A T H S HAVE A GO 3 Point Question Given the term-to-term rule below, generate the first five terms of the sequence. First term: 2 Rule Multiply by 10, add 1 A lesson to investigate sequences A lesson to introduce term to term sequences 2, 21, 211, 2111, 21111 The question passes over to the other team! X LO: To use a term to term rule effectively LO: To generate sequences and spot patterns
Quiz M A T H S HAVE A GO 3 Point Question Given the term-to-term rule below, generate the first five terms of the sequence Second term: 11 Rule: Multiply by 2, add 9 A lesson to investigate sequences A lesson to introduce term to term sequences 1, 11, 31, 71, 151… The question passes over to the other team! X LO: To use a term to term rule effectively LO: To generate sequences and spot patterns
Quiz M A T H S HAVE A GO 3 Point Question Given the term-to-term rule below, generate the first five terms of the sequence. Fourth term: 18 Rule: Divide by 2, add 10 A lesson to investigate sequences A lesson to introduce term to term sequences 4, 12, 16, 18, 19… The question passes over to the other team! X LO: To use a term to term rule effectively LO: To generate sequences and spot patterns
Quiz M A T H S HAVE A GO 3 Point Question Given the term-to-term rule below, generate the first five terms of the sequence. First term: -20 Rule: Divide by 2, subtract 10 A lesson to investigate sequences A lesson to introduce term to term sequences -20, -20, -20, -20, -20… The question passes over to the other team! X LO: To use a term to term rule effectively LO: To generate sequences and spot patterns
Quiz M A T H S HAVE A GO 3 Point Question Given the term-to-term rule below, generate the first five terms of the sequence. Fourth term: 25 Rule: Multiply by 2, subtract 1 A lesson to investigate sequences A lesson to introduce term to term sequences 4, 7, 13, 25, 49… The question passes over to the other team! X LO: To use a term to term rule effectively LO: To generate sequences and spot patterns
Quiz M A T H S HAVE A GO 3 Point Question Given the term-to-term rule, generate the first five terms of the sequence. Second term: 210 Rule: Multiply by 100, add 10 A lesson to investigate sequences A lesson to introduce term to term sequences 2, 210, 2110, 21110, 211110 The question passes over to the other team! X LO: To use a term to term rule effectively LO: To generate sequences and spot patterns