# Maths

Tuesday 26th May 2020

WALT: order mixed decimals

Over the past few weeks we have been learning about decimals including ordering decimals that have a different number of decimal places. Here is a game to revise and test your skills at putting mixed decimals into the correct order.

How to play

You will need a partner, a copy of the board game and two different coloured pencils.

Take it in turns to choose a number and mark it on the spiral.

Keep taking turn until one of you has marked three numbers next to each other.

 0.5 0.25 0.75 0.3 0.35 0.9 0.99 0.999 0.1 0.01 0.05 0.79 0.64 0.32 0.54 0.865

What next?

Can you work out a winning strategy?

Does it matter who goes first?

Does it matter which number you choose first?

Can you make up a different set of numbers that would make the game more challenging?

Perhaps you could have a different start and end numbers for your spiral?

Wednesday 27th May 2020

WALT: round and order decimals

Over the past few weeks we have been learning about decimals including rounding decimals to the nearest tenth and whole number. Here is a game to revise and test your skills at rounding and ordering decimals.

Take three dice, each of them with faces labelled from 1 to 6.
Roll the dice and combine the digits in different ways with a decimal point to make numbers with one and two decimal places.

For example, if I roll a 2, a 3 and a 6, I can combine them to make 2.36, 2.63, 3.26, 3.62, 6.23, 6.32, 23.6, 32.6, 62.3, 63.2, 26.3, or 36.2.

Now put the numbers in order staring with the smallest number and then round each of the numbers to the nearest tenth and whole number.

Repeat for three rolls of the dice.

Do each of the numbers round to the same whole number? Prove it!

Do each of the numbers round to the same tenth? Prove it!

Thursday 28th May 2020

WALT: find and compare fractions

Over the past few weeks we have been learning about fractions including identifying and comparing fractions. Here is an investigation to revise and test your skills at finding and comparing fractions.

This challenge is about chocolate. You have to imagine (if necessary!) that everyone involved in this challenge enjoys chocolate and wants to have as much as possible.

The staff room in Middleton has three tables in it with plenty of space for chairs to go round. Table 1 has one block of chocolate on it, table 2 has two blocks of chocolate on it and, guess what, table 3 has three blocks of chocolate on it. Now ... outside the staff room is a group of Year 5 children. Thirty of them all lined up ready to go in and eat the chocolate. These children are allowed to come in one at a time and can enter when the person in front of them has sat down. When a child enters the staff room they ask themselves this question:

"If the chocolate on the table I sit at is to be shared out equally when I sit down, which would be the best table to sit at?"

However, the chocolate is not shared out until all the children are in the room so as each one enters they have to ask themselves the same question.

Example:
It maybe that when child 9 comes into the room they see:

• 2 people at table 1
• 3 people at table 2
• 3 people at table 3

So, child 9 might think:

"If I go to:

• table 1 there will be 3 people altogether, so one block of chocolate would be shared among three and I'll get one third.
• table 2 there will be 4 people altogether, so two blocks of chocolate would be shared among four and I'll get one half.
• table 3, there will be 4 people altogether, so three blocks of chocolate would be shared among four and I'll get three quarters.

Three quarters is the biggest share, so I'll go to table 3."

Your task is to investigate how much chocolate each child receives as they go one-by-one to the table where they would get the most chocolate. Start from the beginning and work your way towards 30 children, keeping a record of your ideas in writing and in drawings.

Friday 29th May 2020

WALT: recall the names and properties of polygons

During this term, we have various aspects of shape including the names and properties of shapes. Here is an activity to revise and test your skills at naming and recalling the properties of 2D shapes.

Use the isometric grid paper to draw the following polygons:

• A rectangle
• A rhombus
• A trapezium
• A parallelogram that is not a rectangle
• An equilateral triangle
• A right angled triangle
• A scalene triangle
• An isosceles triangle that is not an equilateral triangle
• A pentagon
• A hexagon
• A heptagon
• An octagon
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