# Activities

## Number

## Prime Pictures | |

## 2014 Puzzle | |

## Mixed Numbers Improper Fractions | |

## Multiple Factors | |

## Rounding Game | |

## Dividing Fractions | |

## Equivalent Fractions | |

## Add and Subtract Fractions | |

## F1 Fractions | |

## Divisibility | |

## Finding Fractions | |

## Squares, Cubes, Roots | |

## Recreating Ratios This lesson requires students to produce a range of images for a given ratio. The aim is to draw out the equivalence of different ratios and how, and why, they can be simplified. The more creative and imaginative students are in creating different images to fit a given ratio, the clearer the true concept of ratio becomes (great opportunity for display work). It also provides a good lead in to sequences and graphs. | |

## Around the World This activity provides an interesting context to make some proportion and ratio calculations. Google Earth is used to make measurements about distance and angles of longitude and latitude. These are then combined to make calculations about the circumference of the Earth. No previous knowledge of Google Earth is required. | |

## Rounding: What For? Students do not, in their day-to-day lives, have much experience of very small numbers nor of very large numbers. Consequently, they cannot understand the complication with rounding to 1 decimal place, the nearest 1000, 3 decimal places etc. This activity takes them, visually, thanks to some free virtual reality sites, into the world of the very small, and the uninimaginably large! | |

## The Art of Fractions Create some great art and display work whilst practising calculating fractions of different quantities. This activity involves the repeated splitting of rectangles into carefully chosen proportions defined by a single fraction and can lead to some lovely 'Mondrian inspired' pictures! | |

## Money Multiples InvestigationAge: 11+ Time: 1h Using coins, or working on paper, students decide which amounts can and can't be made exactly using 2 cent and 5 cent coins. The teacher supplies the coins to give students something concrete to focus on and it also adds to the excitement of winning coins from their partner! Students find the surprising result that almost all numbers are possible save 1 and 3. This leads to further investigation | |

## Adding & Subtracting Negatives Adding and subtracting negative numbers are so often misunderstood. These activities give a simple fool-proof way of getting it right. Resources include a simple step by step demonstration likening adding and subtracting negative numbers to adding coldness to a drink, games and a self checking spreadsheet. The series of games is fun and engaging. | |

## Visualising Indices 'Squared' and 'Cubed' can be explained by using 2 and 3 dimensions. The area of a square with length 5 is 5 | |

## The Rice Show This acivity is inspired by 'Of All The People in All the World' from 'Stan's Cafe'. Use grains of rice to represent different numbers of people! How can we make a pile of rice with 1,000,000 grains in it? Do the estimation then use some statistics to make a powerful display! | |

## Standard Form Investigation In this investigation students work out for themselves how to convert an ordinary number to standard form and back again using Excel and/or calculators to explore the radius of planets and the distances separating them. An introduction to the world of the very big and the very small! | |

## Percentages of Amounts This activity gets students to relate percentages to money. They'll need to be in pairs for a collection of two player games which will test how quickly they can work out a percentage. The aim is that they understand that percentages are simply the ability to divide by 10 or 100 and then use their timestables | |

## Primes and Powers Investigation This activity is designed for students to find out why PRIME numbers really are PRIME (what does "Prime" mean: "Prime Minister", "Prime time" TV etc.) and the DNA of the number system. They then use this DNA of numbers to solve a crime . . . | |

## Operating Fractions Practising and generalising operations with fractions. Students are asked to substitute values into partial generalisations for equivalent, adding, multiplying and dividing fractions. They practise the skills in doing so. Students are then asked to search for the limiting conditions of the generalisations and express them as generally as possible. | |

## The Prime Cicada For many years the study of prime numbers was an abstract, mathematical pursuit. In the modern world there are an increasing number of applications. This activity explores an application in nature that is easily accessible (and engaging) to younger students and leads to a need for LCM and HCF. |

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