Resources tagged with Angles - points, lines and parallel lines similar to Star Polygons:
Other tags that relate to Star Polygons
Angle properties of polygons. Logo. Visualising. Angles - points, lines and parallel lines. Similarity and congruence. Tessellations. 2D shapes and their properties. Triangles. Mathematical reasoning & proof. Regular polygons and circles.There are 36 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?
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.
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?
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.
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?
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?
Triangles in Circles
Age 11 to 14 Challenge Level:
Can you find triangles on a 9-point circle? Can you work out their angles?
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?
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.
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 8 - Rhombi
Age 7 to 16 Challenge Level:
Explore patterns based on a rhombus. How can you enlarge the pattern - or explode 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.
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.
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?
Right Time
Age 11 to 14 Challenge Level:
At the time of writing the hour and minute hands of my clock are at right angles. How long will it be before they are at right angles again?
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.
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. . . .
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?
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.
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?
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?
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?
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?
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?
Angle Measurement: an Opportunity for Equity
Age 11 to 16
Suggestions for worthwhile mathematical activity on the subject of angle measurement for all pupils.
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. . . .
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?
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?
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?
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.
NRICH is part of the family of activities in the Millennium Mathematics Project.