Other tags that relate to A Day with Grandpa
Mass and weight. Metric and imperial units. Investigations. Working systematically. Quadrilaterals. Area - squares and rectangles. Perimeter. Length/distance. Squares. Visualising.There are 32 results
Broad Topics > Angles, Polygons, and Geometrical Proof > Quadrilaterals
Cutting it Out
Age 5 to 11 Challenge Level:
I cut this square into two different shapes. What can you say about the relationship between them?
Shape Draw
Age 7 to 11 Challenge Level:
Use the information on these cards to draw the shape that is being described.
Numerically Equal
Age 7 to 11 Challenge Level:
Can you draw a square in which the perimeter is numerically equal to the area?
Torn Shapes
Age 7 to 11 Challenge Level:
These rectangles have been torn. How many squares did each one have inside it before it was ripped?
Cut and Make
Age 7 to 11 Challenge Level:
Cut a square of paper into three pieces as shown. Now,can you use the 3 pieces to make a large triangle, a parallelogram and the square again?
Rectangle Tangle
Age 7 to 11 Challenge Level:
The large rectangle is divided into a series of smaller quadrilaterals and triangles. Can you untangle what fractional part is represented by each of the shapes?
Quad Match
Age 7 to 11 Challenge Level:
A task which depends on members of the group noticing the needs of others and responding.
Transformations on a Pegboard
Age 7 to 11 Challenge Level:
How would you move the bands on the pegboard to alter these shapes?
A Cartesian Puzzle
Age 7 to 11 Challenge Level:
Find the missing coordinates which will form these eight quadrilaterals. These coordinates themselves will then form a shape with rotational and line symmetry.
Quadrilaterals
Age 7 to 11 Challenge Level:
How many DIFFERENT quadrilaterals can be made by joining the dots on the 8-point circle?
Folding Flowers 1
Age 7 to 11 Challenge Level:
Can you visualise what shape this piece of paper will make when it is folded?
Hexagon Transformations
Age 7 to 11 Challenge Level:
Can you cut a regular hexagon into two pieces to make a parallelogram? Try cutting it into three pieces to make a rhombus!
Fred the Class Robot
Age 7 to 11 Challenge Level:
Billy's class had a robot called Fred who could draw with chalk held underneath him. What shapes did the pupils make Fred draw?
Bracelets
Age 7 to 11 Challenge Level:
Investigate the different shaped bracelets you could make from 18 different spherical beads. How do they compare if you use 24 beads?
Part the Polygons
Age 7 to 11 Short Challenge Level:
Draw three straight lines to separate these shapes into four groups - each group must contain one of each shape.
Stringy Quads
Age 7 to 11 Challenge Level:
This practical problem challenges you to make quadrilaterals with a loop of string. You'll need some friends to help!
Is a Square a Rectangle?
Age 7 to 11 Challenge Level:
How many rectangles can you find in this shape? Which ones are differently sized and which are 'similar'?
What Am I?
Age 7 to 11 Challenge Level:
Can you draw the shape that is being described by these cards?
Opposite Vertices
Age 11 to 14 Challenge Level:
Can you recreate squares and rhombuses if you are only given a side or a diagonal?
Rabbit Run
Age 7 to 11 Challenge Level:
Ahmed has some wooden planks to use for three sides of a rabbit run against the shed. What quadrilaterals would he be able to make with the planks of different lengths?
Quadrilaterals Game
Age 11 to 14 Challenge Level:
A game for 2 or more people, based on the traditional card game Rummy.
Shapely Pairs
Age 11 to 14 Challenge Level:
A game in which players take it in turns to turn up two cards. If they can draw a triangle which satisfies both properties they win the pair of cards. And a few challenging questions to follow...
Property Chart
Age 11 to 14 Challenge Level:
A game in which players take it in turns to try to draw quadrilaterals (or triangles) with particular properties. Is it possible to fill the game grid?
Poly Plug Rectangles
Age 5 to 14 Challenge Level:
The computer has made a rectangle and will tell you the number of spots it uses in total. Can you find out where the rectangle is?
Completing Quadrilaterals
Age 11 to 14 Challenge Level:
We started drawing some quadrilaterals - can you complete them?
Guess My Quad
Age 11 to 14 Challenge Level:
How many questions do you need to identify my quadrilateral?
Linkage
Age 11 to 14 Challenge Level:
Four rods, two of length a and two of length b, are linked to form a kite. The linkage is moveable so that the angles change. What is the maximum area of the kite?
Making Rectangles, Making Squares
Age 11 to 14 Challenge Level:
How many differently shaped rectangles can you build using these equilateral and isosceles triangles? Can you make a square?
An Equilateral Triangular Problem
Age 11 to 14 Challenge Level:
Take an equilateral triangle and cut it into smaller pieces. What can you do with them?
Triangle Transformation
Age 7 to 14 Challenge Level:
Start with a triangle. Can you cut it up to make a rectangle?
The Cyclic Quadrilateral
Age 11 to 16
This gives a short summary of the properties and theorems of cyclic quadrilaterals and links to some practical examples to be found elsewhere on the site.
NRICH is part of the family of activities in the Millennium Mathematics Project.