Maths Investigations

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The pupils’ workshop contains 80 cards based on 10 themes. The investigations will compliment any mathematics scheme and can act as a resource bank to suit the needs of a small group of students.

The cards can be used in investigations where: all students are involved in the same investigation, students are involved in a variety of investigations based on the same theme or students are involved in investigations of their own choice.

The ten themes are:
Grids which includes investigations requiring students to plan routes on number grids, place an even number of counters in rows on a grid and show the moves of a knight on a grid.

Polygons: including drawing polygons on square dotted grids, making polygons from folded paper, rotating polygons and finding the perimeter length and areas of polygons.

Games: including fifteens in which students pick up cards to make a total of fifteen, a strategy game picking up matchsticks, hangman and a low score game using dice and number properties.

Number I: including investigating sums of consecutive odd numbers, expressing numbers as the sums of two squares, expressing numbers as the sum of two primes and expressing even numbers as the difference of consecutive prime numbers.

Cubes: investigating packing spheres into a cube, building shapes from cubes and forming nets of cubes.

Calculator: hitting a target number with a specified number of key touches, performing calculations without using certain keys and forming repeating numbers on the calculator display.

Squares: forming squares using matchsticks, forming different shapes each having a perimeter of ten units and creating different ways to halve a square.

Circles: forming patterns on circles with equally spaced dots, forming polygons in circles, investigating chords of circles and using arcs to form shapes.

Digits: investigating the sums of the digits of numbers, forming equations using digits and arranging digits in a grid giving odd numbered sums.

Number II: investigating a three card trick, scoring at darts, tidy numbers, numbers that can be expressed as sums of consecutive numbers and investigating palindromic numbers.

The book concludes with resource sheets for use with the investigations.

The teachers’ guide explains each investigation, gives details of the resources required and shows solutions.

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