Category Archives: Number

96. Free (editable) Flashcards

I was looking for some Maths paper when I was on Printablepaper.net, when I came across a ‘sister’ site: Printableflashcards.net. This website has free flashcards covering many different subjects/topics and is worth a browse.
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The biggest selling point to me was you can create flashcards without requiring a double sided printer or cursing the photocopier for misaligning your originals. You don’t have to glue them (unless you want to) as they will stand nicely on the desk once they are folded, with the answer face down on the table. You can use the Flash Card Generator to create your own set of 4/6 (or multiples of 4/6) flashcards.

88. Factor (Nasty) Game

Today, it’s a classic maths game which has been passed around for at least 12 years, if not longer. It develops basic number skills such as multiplication, division, factors, primes, squares and place value.

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Equipment
A whiteboard (or wall or floor)
Ten digit cards (0-9): you could also just write the digits, but cards are more fun/tactile.
Blu-tak
Mini-whiteboards (or paper)
Calculators are optional

Before you start
You need between 2 and 5 teams. Five gives you more tension/excitement.

Each team needs a whiteboard.
Indicate on the board where each team puts their cards. They need tens and units columns.

Blu tak the number cards to the board.

Basic game
Each team takes it in turn to pick a card and place it in one of their columns. This is repeated so that every team has a two digit number. If you have five teams, there will be no leftover digits.

Winners
The winning team is the one whose number had the most factors. It is up to the teams to prove this by giving all the calculations of factors. Other teams may challenge their accuracy. You can also discuss why some numbers have an odd number of factors (eg square numbers) or exactly two factors (prime numbers).

Time to get Nasty
I said this game was called Factor Nasty … and it is.

There is only one change to the game rules: you can pick a digit and put it in any team’s answer box. They can use their number skills to really stitch each other up.

Imagine Team A puts a 0 in Team C’s tens column. Then Team B puts a 3 in Team C’s units column. Team C can’t do anything to improve their number, but they can make life tricky for Team A and B. Meanwhile, Teams D and E ignore them and create really good answers.

Have fun trying this as a starter or plenary!

75. Factorisation Forest

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MrNussbaum.com

I found this brilliant website via Pinterest. It is a great way to practise prime factor decomposition and it allows pupils to either be creative or use a timed challenge.

I particularly like the fact that you can generate as many base and power boxes as you want, as opposed to similar games where you are given a rigid structure to complete – pupils are allowed to try their answer and be wrong, rather than see their answer doesn’t fit and just give up.

67. Banquet Challenge

Anyone else end up getting out the pencil and paper when you try to figure out the instructions on a supermarket ready meal banquet?

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Some companies take you through the cooking process step by step. Others tell you how to cook each individual part, but not how the timings overlap. It occurred to me that this creates a nice Functional Skills/Time problem. You could even develop this into a critical path analysis problem.

Example: Mexican Banquet

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Microwave
Chicken & vegetable mix: 2mins 30secs
Tortillas: 20secs
Chilli: 5 minutes

Oven
Potato wedges: 15mins
Quesadilla: 10mins

Question
If you want to eat at 7pm, what time should you start cooking?

What time does each item go on?

Assume that only one item can be put in the microwave at once, but the oven can fit more.

63. How to make GCSE past papers fun

Well folks, the end is in sight! Soon Y11 will be on study leave. Sure, there will be those conscientious few who come in for help or revision sessions, but the majority of pupils need the next month to considate their learning and be ready for their exams.

Are these teenagers buzzing with energy and keen to work? No.

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They are tired of being told about exam technique and interpreting questions. They are fed up with assessments and coursework. They are irritable with every non-teenager who mentions exams and ‘this is your future’. And most of all they are just tired because they are working late on deadlines that are suddenly tomorrow, rather than 6 months away.

How can you make yet another GCSE paper interesting?

It’s time to cut up the exam paper (see Foundation GCSE analysis for first scissor session).

Now this task will need some prep work. It is an adaptation of a Maths Relay.

Equipment
*Enough copies of a GCSE paper for 1 between 2 or 3.
(Variation: A set of themed questions, for example 15 questions on Algebra of graduated difficulty)
*Roughly three copies of the mark scheme.
*Your best 3 or 4 students to help manage the task. Alternatively,  mathematically minded sixth former or spare teacher would do. You could even put two classes together.

Optional: A spreadsheet with the pairs of students in the first column

Prep Work
You need to slice the papers into individual questions. Lay out the piles in number order across a desk.
The desks in the room need to be arranged to allow pair/group work and also movement around the room.
Your helpers need to be briefed about the activity.

Activity
Each pair is given the first question face down. When you say ‘Start’, they may write down their names on the question and answer the question.
When they have an answer, they must bring it to be checked.

Correct: it is ticked and they are issued with the next question.
Wrong: it is crossed and they try again.
Wrong twice: they are issued with the next question.

By using your most able student as checkers, you are enabling them to practise effectively checking work quickly and give hints. If they can check their own work in exams quickly, then they will have more time to answer harder questions. By giving hints they are consolidating their learning. Of course, the rest of the class can’t complain that the brightest will win as they are not taking part.

Differentiation
If you have a mixed tier/ability class you can colour code two exam papers: yellow for foundation, pink for higher. They can still race each other but at a more appropriate level.

About that optional spreadsheet
Set up a spreadsheet with the first column for names, the next 15 columns labelled 1-15 and the last column for the total.
Once a question is finished with you record correct/wrong with a 1/0 . You can then keep track of who is on which question with what success rate.

The more ICT-friendly teacher could use conditional formatting to highlight the cells and which team is winning.

Management
I have found it easiest to use helpers for checking and leave the spreadsheet recording to the class teacher. This allows the teacher to oversee and troubleshoot as required.

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Review
I’ve done this with low-ability Y11 last lesson on a Friday and was stunned at the engagement. Although that might have had something to do with the prize of first choice from a box of fondant fancies …

60. Special Offer 3

You know, once you start noticing odd logic in special offers, you notice them everywhere. I’m collecting all the ones I find with the aim of creating a numeracy/ mental arithmetic/ problem solving board. I hope it will start some good discussions – especially if I throw in some good value offers too.

Two 300ml pots of double cream:

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But 2 x 300ml = 600ml

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Like this particular places says “Every little helps!”.

56. Hundreds game

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I’m loving this simple game for ipads and iphones. All you have to do is make 100 by tapping circles – it’s easy to learn, but every level brings a new challenge. This review on YouTube demonstrates the game:

Hundreds review

My six year old picked up how to play in moments. She commented that it helps her to practise counting and adding. It also increases spatial awareness and moves on to negative numbers.

If you have an ipad in your classroom it would make a nice stand-alone activity; more than one ipad and you could race each other to reach a specified level. If you have ipad/projector connectivity, it could be a whole class starter. Download Hundreds (cost was £2.99 at time of posting).

‘Hundreds’ has been ‘App of the day/week’ in several publications, within weeks of it’s release.

I’m now looking for an equivalent game for a SMARTboard. Any suggestions, please let me know by leaving a comment.