What if we tried to make a sum of 5555 using each digit as few times as possible?

This scenario provides the opportunity to develop fluency in addition whilst analysing a scenario that promotes thinking about creative solutions. As a starting point, the class can explore the number of points that can be scored. The above example scores 6 with 1, 2, 5, 7, 8 and 0 being used once each. The 3 is used twice. If a new score is made, the … Continue reading What if we tried to make a sum of 5555 using each digit as few times as possible?

What if we created a cycle of multiplying and dividing by 10/100 and 1000?

In this scenario, the children have the opportunity to develop fluency in multiplying and dividing by 10, 100 and 1000 whilst exploring the inverse relationship between them and equivalency. As a starting point, a cycle of 4 operations brings up some key ideas and allows for further expansion. Although you could go further and give them the opportunity to multiply and divide by powers of … Continue reading What if we created a cycle of multiplying and dividing by 10/100 and 1000?

What if we drew lines using the same angle from each corner of a rectangle?

Sometimes ideas for scenarios come from the result of just doodling and playing around. This idea came to me when I was on a train and I just drew these four lines and wondered about them. Great for exploring the idea of determining angles. Initial Questions What happens if I use other angles? Is there always a rectangle in the middle? Can I work out … Continue reading What if we drew lines using the same angle from each corner of a rectangle?