This problem solving activity has a geometry focus.
Fran and David are playing with a paper circle and a paper oblong on the 4 x 4 board in the picture.
The aim of the game is to find out if the oblong and the circle can both land on the same square after 3 moves.
Fran knows her oblong can only be moved sideways, left or right, and David knows that his circle can only be moved up and down.
Both shapes move one square at a time.
Where are the shapes after three moves?
Try other starting places. Is there more than one answer?
This task requires students to interpret position and to give and follow instructions relating to direction.
Fran and David are playing with a paper circle and a paper oblong on the 4 x 4 board in the picture. The aim of the game is to find out if the oblong and the circle can both land on the same square after 3 moves.
Fran knows her oblong can only be moved sideways, left or right, and David knows that his circle can only be moved up and down. Both shapes move one square at a time.
Where are the shapes after three moves? Try other starting places. Is there more than one answer?
Make up movement rules for a new game using the grid.
After 3 moves (if they continue to move in the same direction) the oblong lands in the top right-hand square and the circle lands in the top left-hand square.
If the oblong starts out in any of the four corner squares of the board, then the circle can be positioned to join it on their third moves.
Printed from https://nzmaths.co.nz/resource/circles-and-oblongs at 3:38pm on the 21st May 2024