Other tags that relate to LOGO Challenge - Sequences and Pentagrams
Mathematical reasoning & proof. Practical Activity. Iteration. Networks/Graph Theory. Working systematically. Combinatorics. STEM - General. Visualising. Logo. Programming.There are 45 results
Broad Topics > Physical and Digital Manipulatives > Logo
LOGO Challenge - Pentagram Pylons
Age 11 to 18 Challenge Level:
Pentagram Pylons - can you elegantly recreate them? Or, the European flag in LOGO - what poses the greater problem?
LOGO Challenge - Sequences and Pentagrams
Age 11 to 18 Challenge Level:
Explore this how this program produces the sequences it does. What are you controlling when you change the values of the variables?
LOGO Challenge - Following On
Age 11 to 18 Challenge Level:
Remember that you want someone following behind you to see where you went. Can yo work out how these patterns were created and recreate them?
Schlafli Tessellations
Age 11 to 18 Challenge Level:
are somewhat mundane they do pose a demanding challenge in terms of 'elegant' LOGO procedures. This problem considers the eight semi-regular tessellations which pose a demanding challenge in terms of. . . .
First Forward Into Logo 7: Angles of Polygons
Age 11 to 18 Challenge Level:
More Logo for beginners. Learn to calculate exterior angles and draw regular polygons using procedures and variables.
First Forward Into Logo 10: Count up - Count Down
Age 11 to 18 Challenge Level:
What happens when a procedure calls itself?
First Forward Into Logo 12: Puzzling Sums
Age 11 to 18 Challenge Level:
Can you puzzle out what sequences these Logo programs will give? Then write your own Logo programs to generate sequences.
First Forward Into Logo 8: More about Variables
Age 11 to 18 Challenge Level:
Write a Logo program, putting in variables, and see the effect when you change the variables.
LOGO Challenge - Recollection
Age 11 to 18 Challenge Level:
Several procedures to think about but there are several things you can do to help yourself such as breaking the procedures down stepwise (rather than into smaller peices) What does the first line do?. . . .
First Forward Into Logo 9: Stars
Age 11 to 18 Challenge Level:
Turn through bigger angles and draw stars with Logo.
First Forward Into Logo 11: Sequences
Age 11 to 18 Challenge Level:
This part introduces the use of Logo for number work. Learn how to use Logo to generate sequences of numbers.
LOGO Challenge - the Humble Square
Age 7 to 16 Challenge Level:
Look at how the pattern is built up - in that way you will know how to break the final pattern down into more manageable pieces.
First Forward Into Logo 6: Variables and Procedures
Age 11 to 18 Challenge Level:
Learn to write procedures and build them into Logo programs. Learn to use variables.
LOGO Challenge - Blob
Age 14 to 18 Challenge Level:
Working with recursion. What is going on how does each iteration feen into the next? All within a geometric setting.
First Forward Into Logo 1: Square Five
Age 7 to 16 Challenge Level:
A Short introduction to using Logo. This is the first in a twelve part series.
First Forward Into Logo 3: Repeat REPEAT
Age 7 to 16 Challenge Level:
More Logo for beginners. Now learn more about the REPEAT command.
LOGO Challenge - the Logic of LOGO
Age 11 to 16 Challenge Level:
Just four procedures were used to produce a design. How was it done? Can you be systematic and elegant so that someone can follow your logic?
First Forward Into Logo 4: Circles
Age 7 to 16 Challenge Level:
Learn how to draw circles using Logo. Wait a minute! Are they really circles? If not what are they?
First Forward Into Logo 5: Pen Up, Pen Down
Age 7 to 16 Challenge Level:
Learn about Pen Up and Pen Down in Logo
LOGO Challenge - Circles as Bugs
Age 11 to 16 Challenge Level:
Here are some circle bugs to try to replicate with some elegant programming, plus some sequences generated elegantly in LOGO.
LOGO Challenge 4 - Squares to Procedures
Age 11 to 16 Challenge Level:
This LOGO Challenge emphasises the idea of breaking down a problem into smaller manageable parts. Working on squares and angles.
Logo Challenge 3 - Star Square
Age 7 to 16 Challenge Level:
Creating designs with squares - using the REPEAT command in LOGO. This requires some careful thought on angles
First Forward Into Logo 2: Polygons
Age 7 to 16 Challenge Level:
This is the second in a twelve part introduction to Logo for beginners. In this part you learn to draw polygons.
LOGO Challenge 12 - Concentric Circles
Age 11 to 16 Challenge Level:
Can you reproduce the design comprising a series of concentric circles? Test your understanding of the realtionship betwwn the circumference and diameter of a circle.
LOGO Challenge 11 - More on Circles
Age 11 to 16 Challenge Level:
Thinking of circles as polygons with an infinite number of sides - but how does this help us with our understanding of the circumference of circle as pi x d? This challenge investigates. . . .
Trees and Friezes
Age 11 to 14 Challenge Level:
This problem is based on the idea of building patterns using transformations.
Programming: Moiré Patterns
Age 11 to 16
We need computer programmers! Logo is a great entry-level programming language - and you can create stunning graphics while you learn.
Making Moiré Patterns
Age 11 to 18 Challenge Level:
Moiré patterns are intriguing interference patterns. Create your own beautiful examples using LOGO!
LOGO Challenge - Triangles-squares-stars
Age 11 to 16 Challenge Level:
Can you recreate these designs? What are the basic units? What movement is required between each unit? Some elegant use of procedures will help - variables not essential.
Muggles, Logo and Gradients
Age 11 to 18
Logo helps us to understand gradients of lines and why Muggles Magic is not magic but mathematics. See the problem Muggles magic.
LOGO Challenge - Tilings
Age 11 to 16 Challenge Level:
Three examples of particular tilings of the plane, namely those where - NOT all corners of the tile are vertices of the tiling. You might like to produce an elegant program to replicate one or all. . . .
LOGO Challenge 2 - Diamonds Are Forever
Age 7 to 16 Challenge Level:
The challenge is to produce elegant solutions. Elegance here implies simplicity. The focus is on rhombi, in particular those formed by jointing two equilateral triangles along an edge.
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 6 - Triangles and Stars
Age 11 to 16 Challenge Level:
Recreating the designs in this challenge requires you to break a problem down into manageable chunks and use the relationships between triangles and hexagons. An exercise in detail and elegance.
LOGO Challenge 9 - Overlapping Polygons
Age 7 to 16 Challenge Level:
This LOGO challenge starts by looking at 10-sided polygons then generalises the findings to any polygon, putting particular emphasis on external angles
LOGO Challenge 10 - Circles
Age 11 to 16 Challenge Level:
In LOGO circles can be described in terms of polygons with an infinite (in this case large number) of sides - investigate this definition further.
Flower Power
Age 11 to 16 Challenge Level:
Create a symmetrical fabric design based on a flower motif - and realise it in Logo.
LOGO Challenge - Circles as Animals
Age 11 to 16 Challenge Level:
See if you can anticipate successive 'generations' of the two animals shown here.
LOGO Challenge 5 - Patch
Age 11 to 16 Challenge Level:
Using LOGO, can you construct elegant procedures that will draw this family of 'floor coverings'?
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.
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?
NRICH is part of the family of activities in the Millennium Mathematics Project.