= difficulty rating
Students add numbers at the bottom of the "castle" to find the number at the top! Different levels of challenge:
Using the numbers 1 to 5, which of the castles 50-59 is impossible? What is the smallest castle you can make?
What is the largest? What do you notice about how the numbers on the
bottom level are
arranged? Create as
castle 40's as you
Students investigate what palindromic words and numbers are. How many are there up to 500?
What happens when we double a palindromic number? Does this always work? What about when I take a number, reverse the digits and add them together? Does this always
work? What year
was the last
When is the next
one? What date
will next be a
Paper folding to the moon
Students must investigate to answer the question - how many times would you need to fold a piece of paper to reach the moon?
All resources are provided and you will need to make sure certain posters/equipment is available in the room (see first slide).
Great to use
or standard form
Students investigate the number of each type of tile spacer they will need when tiling a floor.
They start of looking at squares then move onto rectangles. They they "pattern sniff" or - if they are more competent with sequences - they
can try and find
the nth term for the
number of each
type needed for
any size floor!
The classic puzzle! Students record the number of moves it takes to swap over the red and yellow frogs. They also record the number of slides and the number of jumps and find the nth term for these! But this takes it a step further! What if the number of yellow and red frogs wasn't the same?
getting the students
sat on chairs at the
front of the class
and trialing it as a
class to start off.
I've used this with low attaining year 7s and they enjoyed it - definitely get the multilink cubes out for this one!.
They investigate the relationship between the number of cubes needed to
Up and down staircases
£10k a day or invest 1p?
Students must investigate to answer the question - would you rather have £10,000 a day in for the next 31 days building up in your bank account or put 1p in the bank that turns into 2p the second day, then 4p, then 8p... etc for 31 days
Great way to introduce the idea of exponential/geometric sequences and
Geometry and Measures
How dense is a malteser? We've seen the adverts of people blowing them into the air and there's actually a guinness world record for it! So exactly how dense are they?
This lesson does need you to give at least one malteser to each group of students (and some spare may be a good idea).
To make it more challenging, ask your students to consider at least 3 different ways
of finding the radius
and pick the one they
think is the most
accurate. They will
also need to weigh
The fly vs. the spider
This lesson requires knowledge of 3D pythagoras.
I did this with top set year 10 and nobody got the perfect answer! Although some got very close through trial and error.
Students start by finding the distance between two flies in a box. They then
have to find the
path a spider
must travel to
reach a fly!
Students have to find all 12 possible pentominoes first, considering that reflections and rotations are congruent pentominoes.
They then complete three puzzless with the pentominoes -
Fit them into a
fit them into a
create the largest
I did this with my top set year 9s and it worked really well. They were all engaged. All of them managed the challenge.
Vast majority did extension 1. A lot did extension 2.
About 5 did extension 3. And 2 girls got scarily close to
"Quit school now"!
1 hours work!!!
I would say the
class needs to be
fairly high ability
to begin with.
Pythagorean shoe laces
An investigation lesson into what shape container is best to contain soup - comparing volumes and surface areas.
This lesson requires students to be confident with calculating the volume and surface area of cuboids and cylinders, including working backwards.
The lesson does
end with showing
the students the
answer for a sphere
but they are not
Peter Kay vs. Peter Crouch
Students are asked: Which would you rather have?
Peter Kay's weight in pennies or Peter Crouch's height in pound coins?
They can ask questions before they begin their task - but you shouldn't need to answer any! All the information they need to solve the
problem is on
posters around the
room. Great for
metric and imperial