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  Special Ratios
An real-life investigation based activity to encourage students to 'discover' the golden ration, pi and root 2, in relation to their common everyday occurences. Golden ratio, golden ratio in hair, golden ratio in mona lisa, golden ratio in parthenon, golden ratio in flower.
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Relationships
A number machine, algebra, graph, sentence, sequence and input/output table for students to investigate... and hopefully come to the conclusion that all represent the same relationship in different ways. Suggestions for ways to investigate are on slide 4. To extend this rich open task students could create their own set of cards. Lesson plan. A more structured version for less able students.
A subsequent activity is for students to complete the number machine, table, sentence and graph from the algebra. Prompt cards for this activity with lesson plan.
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 Five to Eight
Four questions all relating to the 5:8 ratio; percentage increase, miles to kilometres, ratio and enlargement. Designed to highlight the similarities between such areas of Mathematics. Another version of this worksheet.
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Mathematical Relations?
A development of the 'five to eight' idea, to emphasize the similarities and relationships between apparently unconnected areas of mathematics. Pupils spend 10 minutes working on each of the 4 sections before concluding that they've been using same techniques to master enlargement, percentage increase, measurement and ratio.
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 Missing Multiplications
Pupils use knowledge of times tables to complete the missing spaces on the tables. Note that digits 2-9 are used only once along top row & LHS column.
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Roman Numerals
A rich maths resource on investigating numbers written in Roman numerals. Converting to and from, sequences of Roman numerals and patterns withn them. Lots of mathematical reasoning. Answers and links included.
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Sexagesimal
A rich maths resource on investigating numbers written in Sexagesimal, or Base 60. Converting to and from and calculating with. Lots of mathematical reasoning. Answers and links included.
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Binary
A rich maths resource on investigating numbers written in Binary. Converting to and from and calculating with. A large version of the 'Hold up cards'. Lots of mathematical reasoning. Answers and links included.
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Comparing Number Systems
Intended for use after studying the above activities on number systems to make explicit the understanding acheived. Most probably the answers suggested aren't definitive and certainly should create discussion and reasoning.
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Number Patterns Introduction
Match up cards with picture sequences on the front and, scambled, letters for words & numbers on the reverse. We've split the set into two halves: counting, doubling, evens & odds all match up together and then triangle, square and Fibonacci to extend learning afterwards.
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Numberlines
Excel file of numberlines for general use, with several different starting values and increment options.
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Mathematics of a Total Solar Eclipse
A good 'similar triangles' activity to explain the shadow of a total solar eclipse. Harder examples of the main activity.
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How Many Records?
Another mathematical conundrum. Adapted from a rather boring example, this time its DJ's Roni Size & Norman Cook arguing about who has the most records. Can you help them figure it out?! (There's a hint on the second page if you need it).
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The Missing Pound
Brilliant little trick / riddle. Read it and get your pupils, friends at the pub, enemies etc to try to figure it out. Email me if you need a hint!
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Maths Puzzle
A good deduction based puzzle for pupils of many ages.
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Maths Puzzle 2
A shakedown of understanding of column addition methods, BIDMAS, substitution, factors, multiples... leading to an SMSC consideration of the relative frequencies of letters used in the english language.
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Find the Code
Find the code from the given clues using algebra or otherwise.
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 Number Line
A good number line with various options and a zoom facility
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100 Numbersquare
Fill in the number square and then see how different multiples make nice patterns
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N Square
Like the 100 number square but as many columns as you'd like this time.
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Decimals Rule
How to add, subtract, multiply & divide decimals. Crib sheet that I typed for my Yr8 group. Follow it and you can't go wrong!
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Rocket maths
Use trial & improvement to make the rocket orbit the moon or just crash into it!
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Million
Use your knowledge of Trial & Improvement Techniques to try to 'Win a Million!'
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Higher or Lower
Trial & Improvement to find the 3 digit number, do it in as few guesses as possible
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