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Solve mathematical puzzles… We are learning to… Test hypotheses; Tabulate systematically the information in a problem or puzzle; Identify and record the steps or calculations needed to solve it.

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Mental/ Oral starter

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12345 35 8 Even if we change the order of the numbers on the bottom tier, the number at the top will always be the same.

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Main Activity

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What plant is this?

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Mistletoe is a parasite that grows on other trees. Mistletoe grows mathematically. Every year, each branch will split in two… Interesting facts about mistletoe

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Year One

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Year Two

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Year Three How many new branches will there be next year?

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Year Four

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YearNumber of new branches

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YearNumber of new branches One1 Two2 Three4 Four8 Five Six Seven Eight Task One How many new branches will there be in the seventh year? Which year will be the first year to see over 500 new branches?

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YearNew branches 11 22 34 48 516 632 764 8128 9256 10512 111024 122048 134096 148192 1516384 1632768 1765536 18131072 19262144 20524288

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YearNew branchesTotal branches 11 1 22 3 34 7 48 516 632 764 8128 9256 10512 111024 122048 134096 148192 1516384 1632768 1765536 18131072 19262144 20524288 Task Two How many branches are there in total?

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YearNew branchesTotal branches 111 223 347 4815 51631 63263 764127 8128255 9256511 105121023 1110242047 1220484095 1340968191 14819216383 151638432767 163276865535 1765536131071 18131072262143 19262144524287 205242881048575

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Plenary What have we learnt? What strategies did you find useful?

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