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Justgoodmaths

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Mastery of place value requires both good teaching and a great deal of practice. The decoding activities provided make this practice more engaging. Writing jokes within the context of other subjects allows numeracy to be supported across the curriculum.

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Mastery of place value requires both good teaching and a great deal of practice. The decoding activities provided make this practice more engaging. Writing jokes within the context of other subjects allows numeracy to be supported across the curriculum.
nth term - teacher-student resources
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nth term - teacher-student resources

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A teacher-student resource inspired by teachers from Shanghai. A paper copy is given to the student, another copy projected on to the whiteboard. The resource is used to structure a mathematical discussion about nth term. How to form an nth term expression from a sequence and how to write a sequence given the nth term expression. Initially scaffolding is provided in the form of boxes to fill in. (answers provided). Key words: nth term, term, expression, sequence, sequences, ascending, interactive, Shanghai.
The origins of our decimal number system.
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The origins of our decimal number system.

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A task I use to reinforce understanding of place value and standard form. Lower ability students can also practice column additions and subtractions which makes it an ideal task for students who do not line up place values before calculating. Students decode a paragraph to find out about the origins of the decimal number system that is used today. The puzzle relies on a knowledge of powers of ten. Devices within the puzzle allow students to self monitor their work and correct errors (answers included). For more number resources search for Place Value - powers of 10, decode the origins of the decimal point or decode the adoption of negative numbers. Key words: Standard form, Units, Tens, Hundreds, Thousands, powers of 10, place value, standard form, addition, subtraction, message, decode, origin, indian, arabic, numbers, worksheet, history of mathematics, math, maths, (unlock untangle understand).
Place Value - estimate the calculation, round off first to decode a joke.
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Place Value - estimate the calculation, round off first to decode a joke.

(1)
Round each number to one significant figure first, then calculate to make an estimate of the calculation to decode the joke. Devices within the puzzle allow students to self monitor their work and correct errors. Students like to finish a puzzle, but they don’t always like the jokes they decode! The puzzle also supports literacy students have to split the string of letters into recognisable words to work out the answer (answers included). Key words: Estimation, estimate, place value, significant figure, joke, decode. round, significant figure, estimating, rounding, worksheet, joke, (unlock, untangle, understand).
The adoption of negative numbers.
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The adoption of negative numbers.

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Updated 23 June 2016 Although negative numbers have been in use in India since the middle ages, they were not fully adopted across Europe until the seventeenth century. Use this addition and subtraction puzzle using directed numbers to help students find out a little bit of the history of negative numbers. If you find this resource useful, there are more. Search for: decode the origins of the decimal point or decode the origins of our decimal number system. Key words: directed numbers, negative, positive, add, subtract, number line, count forwards, count backwards, zero, did you know, codes, decode, worksheet, history of mathematics, puzzle book.
Examples of  Menseki Meiro, or Area Maze problems.
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Examples of Menseki Meiro, or Area Maze problems.

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8 Menseki Meiro, or Area Maze problems. Key words: Menseki Meiro, area maze, area, rectangle, area of a rectangle, length, multiply, divide, width, compound shapes, Japanese puzzle, puzzle, multi step problems, logical thinking.
Place Value - read numbers including decimals (cross curricular numeracy_2)
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Place Value - read numbers including decimals (cross curricular numeracy_2)

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Six puzzles to support cross curricular numeracy in: French, Technology, Chemistry and Economics. Puzzles can be used as starters. Use the puzzles in different subject areas to identify a numeracy deficit connected to place value or issues of transference from mathematics to other subjects. Devices within the puzzle allow students to self monitor their work and correct errors. Students like to finish a puzzle, but they don’t always like the jokes they decode! Each puzzle also supports literacy. Students have to split the string of letters into recognisable words to answer the joke. If you find these resources useful there are more, search for: Place value - decimals (cross curricular numeracy_1 or_3). Keywords: cross curricular numeracy, resource, the decimal system, read decimal numbers, place value, units, tenths, hundredths, thousandths, decimal, un, deux, trois, quatre, cinq, international joke day, degrees, potassium, oxygen, humus, tzatziki, dips, chocolate, balanced diet, bridge, La Seine, worksheet, numeracy deficit, transference (unlock untangle understand).
How to square root without using a calculator (with answers)
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How to square root without using a calculator (with answers)

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Use prime factors to find the square root of a number. This task is easily extended (decide if the square root of a number is an integer value, or not). The task develops a feeling for number and underpins an understanding of surds. Key words: integer, factor, prime factor, factorisation, square root, root, surd.
Index Laws pack: use the laws of indices to  work out the punchline to a joke.
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Index Laws pack: use the laws of indices to work out the punchline to a joke.

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Manipulate expressions using the Laws of Indices. Decode each puzzle to work out the punchline to a joke. (with answers) Key words: index, indices, notation, expression, index laws, laws of indices, base, bases, power, powers, raising a power to a power, divide, multiply, puzzle, joke, decode, worksheet, practice, math, maths, mathematics, (unlock, untangle, understand).
Index laws 2 Divide powers in the same base
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Index laws 2 Divide powers in the same base

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Expressions with the same base can be manipulated using the Law of Indices. Decode the puzzle to practice using the laws of indices. If you like this resource search for Index laws 1, 3 and 4. Key words: index, indices, notation, expression, index laws, base, bases, power, powers, multiply, divide, puzzle, joke, decode, worksheet, practice, math joke, maths joke, mathematics, (unlock, untangle, understand).
Multiply by 2, 5 and 10 to decode Newton's first law (cross curricular numeracy 5)
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Multiply by 2, 5 and 10 to decode Newton's first law (cross curricular numeracy 5)

(3)
Students decode a paragraph to find out about the first force that anyone really figured out in any detail; gravity. The puzzle relies on an ability to multiply by 2, 5 and 10. It can be used to identify a numeracy deficit involving simple multiplication. Devices within the puzzle allow students to self monitor their work and correct errors (answers included). Can be used in Science or Mathematics. Keywords: Physics, forces, 2s, 5s, 10s, times table, message, decode, gravity, interact, reaction, direction, worksheet, cross curricular numeracy, numeracy, deficit, math, maths, numeracy across learning, (unlock untangle understand).
Best buys (2) - Decide on the best value for money to decode the 'money joke'!
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Best buys (2) - Decide on the best value for money to decode the 'money joke'!

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It is likely that you will shop in a supermarket, but will you spot the cheapest deals? ‘Best buy’ questions have been a staple on exam papers for years. Compare offers using equivalent quantities or unit cost to identify the best deal. Devices within the puzzle allow students to self monitor their work and correct errors. Students like to finish a puzzle, but they don’t always like the jokes they decode! Each puzzle also supports literacy. Students have to split the string of letters into recognisable words to answer the joke (answers included). The symbols on the tins are Mongolian numerals. Key words: best buy, value for money, proportion, equivalent quantities, estimate, unit cost, comparison, compare, ratio, joke, shopping, supermarket, (unlock, untangle, understand).
Place value - read numbers including decimals (cross curricular numeracy_1)
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Place value - read numbers including decimals (cross curricular numeracy_1)

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Six puzzles to support cross curricular numeracy in: Humanities, English, Chemistry, Physics and Computer Science. Use the puzzles in different subject areas to identify a numeracy deficit connected to place value or issues of transference from mathematics to other subjects. Puzzles can be used as starters. Devices within the puzzle allow students to self monitor their work and correct errors. Students like to finish a puzzle, but they don’t always like the jokes they decode! Each puzzle also supports literacy. Students have to split the string of letters into recognisable words to answer the joke. If you find these resources useful there are more, search for: Place value - decimals (cross curricular numeracy_2 or _3). Keywords: cross curricular, numeracy resource, the decimal system, read decimal numbers, place value, units, tenths, hundredths, thousandths, decimal, elements, noble gas, helium, waves, hertz, renewable, gigabytes, numeracy, joke, jokes, rhetorical, dark ages, invasion, knight, joke, code, puzzle, international joke day, numeracy deficit, transferrance, diagnostic tool, worksheet. (undo, untangle, understand)
Fraction of an amount (unitary fractions) to decode a joke.
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Fraction of an amount (unitary fractions) to decode a joke.

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Find a fraction of an amount using unitary fractions to calculate the punchline to a joke. Students like to finish a puzzle, but they don’t always like the jokes they decode! Key words: denominator, unitary fraction, proportion, fraction, fraction of an amount, share, whole, hole, total, joke, maths joke, punchline, decode, if it takes six men one hour to dig three holes...
Mobile - Balance problems - work out the missing values to get the punchline to the joke.
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Mobile - Balance problems - work out the missing values to get the punchline to the joke.

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Four mobile balancing problems to support algebraic reasoning. The thinking used in these puzzles is the same as the logic used behind solving equations. Explore equivalence where the LHS = RHS (Answers included). Key words: equivalence, mobile problems, balance, pan balance, relationship, solve, balance problem, unknown, joke, logical thinking, multi-step problems, algebraic reasoning, puzzle, decode, worksheet, math, maths, mathematics, (unlock, untangle, understand).
Index laws 3 Raise a power to a power
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Index laws 3 Raise a power to a power

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Expressions with the same base, can be manipulated using the Law of Indices. Decode the puzzle to practice the laws of indices when raising a power to another power, includes multiplying and dividing indices. If you like this resource, search for Index Laws 1, 2 and 4. Key words: index, indices, notation, expression, index laws, base, bases, power, powers, raining a power to a power, multiply, divide, puzzle, joke, decode, worksheet, practice, math, maths joke, mathematics, (unlock, untangle, understand).
Place value - decimal puzzle
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Place value - decimal puzzle

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Match the decimals given in words to the number given in digits. Devices within the puzzle allow students to self monitor their work and correct errors. Students like to finish a puzzle, but they don’t always like the jokes they decode! Each puzzle also supports literacy. Students have to split the string of letters into recognisable words to read the punchline. (answers included). If you like this, search for: Place Value - A pack of decimal and fraction puzzles. Keywords: place value, decimals, units, tenths, hundredths, thousandths, puzzle, joke, number system, practice, math, maths joke, mathematics, unlock untangle understand.
Place Value - A pack of decimal and fraction puzzles to decode
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Place Value - A pack of decimal and fraction puzzles to decode

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Nine puzzles for students to decode (pick and mix). Devices within the puzzle allow students to self monitor their work and correct errors. Students like to finish a puzzle, but they don’t always like the jokes they decode! Each puzzle also supports literacy. Students have to split the string of letters into recognisable words to answer the joke. (answers included). Six other puzzles, which are simpler, can be found at - Place value - decimals (cross curricular numeracy). If students need support, project or print off the place value poster. Harder puzzles can be found under - Place value - powers of 10. Keywords: the decimal system, read decimal numbers, place value, units, tenths, hundredths, thousandths, decimal, fraction. mixed number, puzzle, joke, code, number system, reading scale, joke, worksheet, math, maths, mathematics, unlock untangle understand.
Index laws 4_Simplify to powers of 3 or 5, then apply laws of indices.
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Index laws 4_Simplify to powers of 3 or 5, then apply laws of indices.

(5)
Expressions with the same base, can be manipulated using the Law of Indices. Change each expression into base of 3 or 5 before applying the laws of indices and decode the puzzle. I f you like this resource search for Index Laws 1 , 2 and 3. Key words: index, indices, notation, expression, index laws, base, bases, power, powers, raining a power to a power, multiply, divide, puzzle, joke, decode, worksheet, practice, math, maths joke, mathematics, (unlock, untangle, understand). Updated 28_09_16
Addition Maze - calculate the answer to the riddle.
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Addition Maze - calculate the answer to the riddle.

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Complete each maze in the most efficient way possible. Add the values of all the squares visited together, match the answer to the appropriate letter to work out the punchline to the joke. Ideal as a diagnostic tool to identify numeracy deficit. Key words: add, addition, revision activity, homework, diagnostic activity for number, total, fraction, mixed numbers, improper fractions, directed numbers, calculation maze, puzzle, joke, practice, math joke, maths jokes, mathematics, did you hear about the four blokes who stole a calendar, unlock untangle understand.