Other tags that relate to Star Polygons
Regular polygons and circles. Angles - points, lines and parallel lines. Mathematical reasoning & proof. GeoGebra. Angle properties of polygons. Tessellations. Triangles. Practical Activity. 2D shapes and their properties. Visualising.There are 39 results
Broad Topics > Angles, Polygons, and Geometrical Proof > Angles - points, lines and parallel lines
Angles Inside
Age 11 to 14
Challenge Level
Draw some angles inside a rectangle. What do you notice? Can you prove it?
Which Solids Can We Make?
Age 11 to 14
Challenge Level
Interior angles can help us to work out which polygons will tessellate. Can we use similar ideas to predict which polygons combine to create semi-regular solids?
Making Maths: Equilateral Triangle Folding
Age 7 to 14
Challenge Level
Make an equilateral triangle by folding paper and use it to make patterns of your own.
Interacting with the Geometry of the Circle
Age 5 to 16
Jennifer Piggott and Charlie Gilderdale describe a free interactive circular geoboard environment that can lead learners to pose mathematical questions.
Polygon Rings
Age 11 to 14
Challenge Level
Join pentagons together edge to edge. Will they form a ring?
Pegboard Quads
Age 14 to 16
Challenge Level
Make five different quadrilaterals on a nine-point pegboard, without using the centre peg. Work out the angles in each quadrilateral you make. Now, what other relationships you can see?
Angle Measurement: an Opportunity for Equity
Age 11 to 16
Suggestions for worthwhile mathematical activity on the subject of angle measurement for all pupils.
Semi-regular Tessellations
Age 11 to 16
Challenge Level
Semi-regular tessellations combine two or more different regular polygons to fill the plane. Can you find all the semi-regular tessellations?
Polygon Pictures
Age 11 to 14
Challenge Level
Can you work out how these polygon pictures were drawn, and use that to figure out their angles?
Making Maths: Clinometer
Age 11 to 14
Challenge Level
You can use a clinometer to measure the height of tall things that you can't possibly reach to the top of, Make a clinometer and use it to help you estimate the heights of tall objects.
LOGO Challenge 7 - More Stars and Squares
Age 11 to 16
Challenge Level
Can you use LOGO to create a systematic reproduction of a basic design? An introduction to variables in a familiar setting.
LOGO Challenge 8 - Rhombi
Age 7 to 16
Challenge Level
Explore patterns based on a rhombus. How can you enlarge the pattern - or explode it?
Pythagoras
Age 7 to 14
Pythagoras of Samos was a Greek philosopher who lived from about 580 BC to about 500 BC. Find out about the important developments he made in mathematics, astronomy, and the theory of music.
Right Angles
Age 11 to 14
Challenge Level
Can you make a right-angled triangle on this peg-board by joining up three points round the edge?
Maurits Cornelius Escher
Age 7 to 14
Have you ever noticed how mathematical ideas are often used in patterns that we see all around us? This article describes the life of Escher who was a passionate believer that maths and art can be. . . .
Triangles in Circles
Age 11 to 14
Challenge Level
Can you find triangles on a 9-point circle? Can you work out their angles?
Shogi Shapes
Age 11 to 14
Challenge Level
Shogi tiles can form interesting shapes and patterns... I wonder whether they fit together to make a ring?
Subtended Angles
Age 11 to 14
Challenge Level
What is the relationship between the angle at the centre and the angles at the circumference, for angles which stand on the same arc? Can you prove it?
Triangle in a Trapezium
Age 11 to 16
Challenge Level
Can you find and prove the relationship between the area of a trapezium and the area of a triangle constructed within it?
LOGO Challenge 1 - Star Square
Age 7 to 16
Challenge Level
Can you use LOGO to create this star pattern made from squares. Only basic LOGO knowledge needed.
Parallel Universe
Age 14 to 16
Challenge Level
An equilateral triangle is constructed on BC. A line QD is drawn, where Q is the midpoint of AC. Prove that AB // QD.
Using Geogebra
Age 11 to 18
Never used GeoGebra before? This article for complete beginners will help you to get started with this free dynamic geometry software.
Similarly So
Age 14 to 16
Challenge Level
ABCD is a square. P is the midpoint of AB and is joined to C. A line from D perpendicular to PC meets the line at the point Q. Prove AQ = AD.
Same Length
Age 11 to 16
Challenge Level
Construct two equilateral triangles on a straight line. There are two lengths that look the same - can you prove it?
Angle Trisection
Age 14 to 16
Challenge Level
It is impossible to trisect an angle using only ruler and compasses but it can be done using a carpenter's square.
Orbiting Billiard Balls
Age 14 to 16
Challenge Level
What angle is needed for a ball to do a circuit of the billiard table and then pass through its original position?
Coordinates and Descartes
Age 7 to 16
Have you ever wondered how maps are made? Or perhaps who first thought of the idea of designing maps? We're here to answer these questions for you.
Arrowhead
Age 14 to 16
Challenge Level
The points P, Q, R and S are the midpoints of the edges of a non-convex quadrilateral.What do you notice about the quadrilateral PQRS and its area?
On Time
Age 11 to 14
Challenge Level
On a clock the three hands - the second, minute and hour hands - are on the same axis. How often in a 24 hour day will the second hand be parallel to either of the two other hands?
Quad in Quad
Age 14 to 16
Challenge Level
Join the midpoints of a quadrilateral to get a new quadrilateral. What is special about it?
A Problem of Time
Age 14 to 16
Challenge Level
Consider a watch face which has identical hands and identical marks for the hours. It is opposite to a mirror. When is the time as read direct and in the mirror exactly the same between 6 and 7?
Hand Swap
Age 14 to 16
Challenge Level
My train left London between 6 a.m. and 7 a.m. and arrived in Paris between 9 a.m. and 10 a.m. At the start and end of the journey the hands on my watch were in exactly the same positions but the. . . .
Witch's Hat
Age 11 to 16
Challenge Level
What shapes should Elly cut out to make a witch's hat? How can she make a taller hat?
Round and Round and Round
Age 11 to 14
Challenge Level
Where will the point stop after it has turned through 30 000 degrees? I took out my calculator and typed 30 000 ÷ 360. How did this help?
NRICH is part of the family of activities in the Millennium Mathematics Project.