Year 11 Intermediate GCSE
Course Work
Borders
Piece No 2 Of 2
The Starting Shape – Shape One
Shape Two
Shape Three
Shape Four
Shape Five
The Shapes
Shape
Shape
1 2
Shape
Shape
Shape
Shape
3
4
5
6
Increasing Shape Number
Objective Of Coursework
• To examine the number of black squares,
the number of white squares and the total
number of squares per shape.
• To determine any rules that apply to any of
these sequences.
• To predict further shapes from any
sequence rules.
• To test predictions by drawing.
Steps In Course Work
1. Draw the shape on graph paper taking care with shading.
2. Draw the next two shapes on graph paper taking care with
shading.
3. Draw all previous shapes on graph paper back to one square
taking care with shading.
4. Count the number of black squares and the number of white
squares and the total number of squares on each shape.
5. Put your results into a suitable table or tables showing the
number of white squares and total number of squares on each.
6. Analyse the number of black squares, the number of white
squares and the total number of squares and see if you can
see any patterns / sequences and rules for each type.
Steps In Course Work
7. From the rules that you establish make a prediction of the
number of black tiles, the number of white tiles and the total
number of tiles in a future shape.
8. Check your prediction by drawing all shapes to get to that
shape.
9. Comment on your findings. Use graphical plots to explain
findings.
10. Extend your work by analyzing patterns that occur when
the shape becomes three dimensional. Make predictions and
test predictions by drawing and using cubes/bricks.