## Blog 18

by Ian Fisher

Posted on June 19, 2018 at 14:23

Every summer I like to add my thoughts for the year and to mention some of my favourite worksheets that have been added to the ever growing 10ticks collection. Hundreds of worksheets have been added this year, and picking out my favourites is like picking my favourite child, sometimes not that difficult a task!

Our aim is to help teachers, by creating a one-stop shop for you. Instead of having to spend hours trawling around the internet, wasting your valuable time, everything you need is here, in one place. With 10ticks you also know that you can rely on the quality of the materials.

For the last few years mathematics educationalists have been focused on the Mastery approach and problem solving. Many people think of 10ticks as being simply consolidation worksheets (which is a large part of the Mastery approach!). I believe that this outdated thinking doesn’t do 10ticks justice. You need to explore 10ticks a little more, and seek out investigations/problems solving/puzzles etc to see how they can deliver lessons (and Mastery) for you. Subscribers should also look out for Worksheet of the Week that is sent out by email every Monday. Hopefully you will find some great ideas to use with your students.

Secondary school teachers should look at our resources from Year 2 onwards, as much of them could be appropriate for your lower ability KS3 students. Our materials are mapped to the ambitious primary National Curriculum, Reception to Year 6. The remaining materials are grouped by year for secondary, Year 7 to Year 11. To make this easier to understand for GCSE students, Foundation Tier ends with Year 9 and the extra materials needed for the Higher Tier are in Years 10 and 11.

So Pop Pickers, here is a countdown of my top 10 favourite resources added this summer:

#### Number 10

Paper Chain Hoops (Multiplication 11 and 12) 1This is used with Paper Chain Hoops (Multiplication 11 and 12) 2. Students can colour the paper chain links or you can print them on coloured paper. If printed on different coloured paper, mix and match the links to make a more brightly coloured paper chain. Find the next paper chain link by finding the answer to the multiplication at the end of another link.

There are many other paper chain sheets. Search ‘paper chain’ to find other examples.

Target Year 4

#### Number 9

This worksheet features the rewriting of calculations so they are in the form 2^{n}*. These emphasise the rules of indices that should already be known. Students finish by recording these laws, using information from the calculations they have rewritten, along with any previous knowledge.*

Target Year 10

#### Number 8

This worksheet, along with Spidering Substitutions 2, looks at substituting in to quite complex equations. The equations are built along pathways of smaller equations, so students can see the BIDMAS element of the substitution. In Substitution Tables the pathways are replaced by tables, and fractional and negative numbers are used in the substitutions.

Target Year 7

#### Number 7

A series of worksheets that focuses on areas of circles/rings in terms of π starting with Concentric Circles and Shading Concentric Circles. It progresses to thirds and quarters of circles, and to finding equivalent areas with Concentric Circle Parts and Matching Concentric Circle Areas. The final sheet, Archery Targets, investigates the areas of different archery targets, as well as redesigning the target as a square with same area as the circle.

Target Year 9

#### Number 6

The worksheet looks at zooming in on a number line. The number line starts between two consecutive whole numbers, then zooms in between two tenths. The tenths’ number line is shown below the first number line. It is then zoomed in again, to a new number line, showing hundredths. A number (thousandths) marked on this third number line has to be identified.

The Zoom Out (Thousandths) worksheet has a similar layout. Here the information given is thousandths, and students work outwards to find the missing information. Students should then make their own sets of questions with Make Your Own Zoom (Thousandths).

There are Zoom In and Zoom out cards for tenths and hundredths. Use the search facility to find these.

Target Year 5

#### Number 5

Finding the perimeters and areas will involve Pythagoras and trigonometry, as well as the traditional perimeter and area formulae. On each of the two blank cards students have to draw a shape that, when ordered, become the middle perimeter and middle area. This is deceptively difficult, as the creation of each card affects the other, in terms of ordering. It is a great way to get students revising perimeter and area topics. One answer is given, but many are possible. Get students to check each other’s...again reinforcing the topic.

Target Year 10

#### Number 4

Two squares are divided in different ways. What fraction of the original square are the parts? What is this as a percentage of the original square? Students will start exploring fraction/percentage equivalents as well as special awareness, such as what is half of a quarter? This can be explored further, by students making their own divisions using Splitting a Square (Make Your Own).

Target Year 6 or Year 7

#### Number 3

This is a problem solving exercise, involving ordering groups of objects by sharing apples into boxes. Cut-outs are provided so that pupils can do the problem physically and record their answers. Some pupils may attempt this without the cut-outs. What are the constraints that having greatest to least put on the answers? Hint: Why isn’t 13, 1, 1 an answer? Once the rules are clear off you go! There are 12 solutions. You may want to challenge some pupils to find them all.

Target Year Reception or Year 1

#### Number 2

The first of this set of worksheets is a made up number system using random symbols. Students should recognise the format of the numbering to rebuild the 100 grid.

This is a fantastic set of worksheets, featuring different number systems. Many real number systems are built in the same way, but use different symbols.

Hundred Square (Eastern Arabic), Hundred Square (Bengali), Hundred Square (Perso-Arabic), Hundred Square (Lao) use one system and Hundred Square (Chinese) and Hundred Square (Malayalam) use the other system. Look at other number systems, such as Suzhou numerals. How do they fit in? What about Devanagari, Gujarati, Bengali, Oriya, Telugu, Tamil, Burmese or Thai?

The Muddled Numbers worksheet looks at different scripts. Which is which, and what do they represent?

Target Year 7

#### Number 1

Ok, so the Winter Olympics take place every 4 years, but you can still use this activity annually in the curling season. Here are two different ways of working with the equation of a circle.

In the curling question, with the centre of the concentric circles being the origin, find the equation of each of the rings. The origin is then moved about, so how does the equation change?

In the Olympic rings question, students construct three of the rings, given their equations. They then have to draw the missing two rings and find their equations.

Target Year 11

I hope you enjoy using the resources with your classes as much as we have enjoyed creating them. If you have ideas that you would like us to convert into a worksheet, please do email us and let us know.

Ian

Labels: Maths Summer 2018 Worksheets