126. Kusudama to meet you

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Wow … September again and many people will be meeting new faces for the first time. Learning names, setting out classroom rules, figuring out who’s got all the textbooks you need …

image Made using origami paper.

Back in July I made Kusudama flower balls with a couple of classes. It occurred to me then what a great ice-breaker they could be. They’d also be a nice maths club project.

Definition of Kusudama from Wikipedia

The Japanese kusudama (薬玉; lit. medicine ball) is a paper model that is usually (although not always) created by sewing multiple identical pyramidal units (usually stylized flowers folded from square paper) together through their points to form a spherical shape. Alternately the individual components may be glued together. Occasionally, a tassel is attached to the bottom for decoration.
Resources

You will need:

  • 5 squares of paper for a flower
  • 12 flowers for a ball
  • 60 squares of paper in total (sugar paper is cheap, but doesn’t tape together well)
  • String if you wish to hang it up
  • Card if you wish to mount a half ball on the wall
  • Sticky stuff: glue sticks or glue dots or pva glue or tape or a hot glue gun – whatever works for you!
  • Beads or ribbon for decoration (optional)

Activity

It has an instructional video and very clear step by step photographs. It’s so easy a six year old can (and did) do it!
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  1. The instructions assume 30 pupils in a class. Let each pupil make a petal following the step by step instructions and then independently make another (2 petals each).
  2. Pupils pair up and stick two petals together (1 petal each and 1 pair stuck together).
  3. Pairs team up with another pair and stick their pairs together (1 petal each and 4 petals stuck together).
  4. One person in the four uses their extra petal to complete the flower – that person is in charge of the flower ( three people with 1 petal, one person with a flower).
  5. Flower pupils form a group and start sticking their flowers together.
  6. Petal pupils work with new people in groups of 5 and create another flower.
  7. Eventually 12 flowers are completed and stuck together.

 

Notes:

  • String should be firmly attached before the ball is complete.
  • It is advisable to staple a half ball to card or the wall to prevent it collapsing.

 

Thank you to @c0mplexnumber for the original inspiration for this activity.

Have fun folks!

125. View from … Pensthorpe

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The Sandpit is currently in Norfolk and on a daytrip to Pensthorpe. In the ‘Wild Rootz’ adventure playground there is a bridge – except it’s not.

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It’s a damped ‘see-saw’, which you can run up and down. This is great fun – people run from one end to the other and try to reach the end before it goes down, with a bump.

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However, you can also use the principle of moments to try and balance the bridge. It took a bit of running up and down and fine tuning (bouncing), but we got the bridge balanced with five members of the family, age range: 84, weight range: wouldn’t be polite to say.

If you know somewhere near you, with a similar piece of equipment, this would be a brilliant way to demonstrate moments with a Sixth Form class. Obviously the calculations would be slightly out, due to the effect of the dampers, but it’s still fun – and a lot safer than piling a whole class on a see-saw.

124. The View from the Sandpit

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As the summer break draws ever closer, thoughts go to all those jobs you never got the chance to do in term time. Here at the Maths Sandpit thoughts turn to quality control and effective blogging. To maintain the standards of the site, the Sandpit is starting it’s summer break a little earlier than most schools.

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Thank you to all those who’ve visited the site since 16th February. There have been 124 posts, which is equivalent to more than two years worth of weekly posts. And more than 12,000 views!

There will some posts over the summer so keep coming back to check out ‘The View from the Sandpit’.

Normal service will resume on 1st September.

Ms KMP

123. Jaffa Moon

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I’ve just spent the morning doing a cross curricular primary reward project with gifted and talented Y5/6 pupils. I was working with two colleagues from Science and Art. We were doing SAM, rather than STEM. It was brilliant!

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We made bouncy balls, bounced them in flour and cocoa powder, videoed the impacts, photoshopped the crater pictures, compared width of impact crater with the height dropped (scatter graph), calculated the speed of impact of the balls on Earth and on the moon – we even did the Jaffa cake phases of the moon. Our scientist gave us the correct terminonology and we did it correctly, unlike the memorable advert:

Jaffa Cake advert

It did take us more than one jaffa cake … ahem, I mean attempt… to get it right. For the sake of accuracy, you understand …

122. Secret Lifeline

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How do you keep the pupils’ focussed on a peer’s explanation in a big classroom?

If a pupil is solving a problem on the board at the front, some of the class see this as an opportunity for low-level disruption. They often don’t see it as inappropriate behaviour and dealing with it can be off-putting for the pupil at the front. What to do?
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Equipment
A class set of named lolly sticks
Lolly sticks aren’t a new idea, but this is a different way to use them.

Activity
Set out the lolly sticks in teams face down on the desk, depending on the number of questions.
So an activity with 5 questions and 30 pupils would have 6 pupils per question. It doesn’t matter if the final team needs more pupils.

Set the first question. Give the class thinking time.

Randomly select a team by turning over one lolly stick. That person comes to the front to answer the question. The rest of the team are lifelines – if the team leader gets stuck, he/she can turn over a lifeline and ask for help. At the end of the question, the unused sticks remain face down.

Next question? Select the next team.

Why it works
No-one knows who will be called upon to contribute next, so everyone (who hasn’t yet contributed) must pay attention.

Hint
If your last team is short on lifelines, they can select any face down lolly stick.

I’ve used this with Y11 set 3/4 and it worked a treat, with everyone focussed on the task.

121. 75% Wrong Answers please!

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Sometimes you don’t get to a suitable point in a topic for a specific homework task, sometimes you want pupils to reflect on their understanding and sometimes the printer/copier breaks. What should you do?

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I get pupils to think about the work they’ve done and write two or three questions on a topic they’ve struggled with. They then answer their questions. Next they think about any misconceptions and write wrong answers. They then write an answer with a numerical error. So each question has one correct answer and three wrong answers.

Pupil perspective
They have had to review and reflect on their personal learning and then apply it to a question.

Teacher perspective
The teacher gets an idea of what the class as a whole understands and what misconceptions exist.

Follow Up Task
The teacher can type up the ‘best’ questions into a PowerPoint presentation to use as a multiple choice quiz activity. A class written resource is always fun to use.

Techy Task
For those of you lucky to have an interactive handset system, you have a ready made, personalised, multiple choice topic quiz.