By Ken Smilth
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Additional resources for Active Maths - Problem Solving Maths for 10 - 12 Year Old Students
They can be linked like this:- But not like this:- Here is an example of a complete perimeter pathway:- Note the continuous “pathway” (dotted line) through each of the perimeter pentominoes. The area enclosed by this pathway is 36 squares. Use your eight pentomino pieces to create your own perimeter pathways. What is the largest area that can be enclosed? What is the smallest area that can be enclosed? Draw each of your solutions on grid paper. Ready-Ed Publications Page 31 Active Maths Name.......................
Either use grid paper or dotted paper to draw your pathways as shown below. S S F F In all I found ................ pathways from (S) to (F). Page 34 Ready-Ed Publications Active Maths Name....................... (Teachers’ Blank Template) Stepping Stones Here is a set of numbered stepping stones. To travel over the stones you can only move ACROSS, UP or DOWN. No diagonal moves! Also, you cannot retrace your steps at any time or visit a stone more than once. S F Find pathways that will total: a) .....................
By the time she reaches home she has travelled ...................... kms. How many roads did Wendy have to travel along more than once? Page 40 Ready-Ed Publications Active Maths Name....................... Making sense of no. problems; reasoning about numbers. Dartboard Maths - 1 Using two darts: find one way to score 19. + ................. find one way to score 37. + ................. See if you can work out how many different ways there are to score 4. Remember, some darts might miss! Try to find the ways to score 5, 6 and 7, and fill in the table.