• £15

Decimals

Where do students struggle with coordinates, where do they come from, and what can we do to help our students?

Course overview

In this course we take a deep dive into the wonderful world of decimals. Using data from 200+ million answers on my Diagnostic Questions website we see what students do well at, where they struggle, and what we can do to help them.

The areas we cover are:
  • Place value and ordering
  • Working with 0.1, 0.01, 10, 100 etc
  • Addition and subtraction with decimals
  • Multiplication with decimals
  • Division with decimals
  • Related place value calculations

This workshop is ideal to enhance your subject knowledge, as well as providing a framework for planning sequences of lessons that can be applied to all topics in mathematics.

This course can be completed on your own, with a colleague, or as a department*.

It is suitable for secondary school teachers (teaching students age 11 to 16) and also primary teachers teaching Years 5 and 6 (9 to ll year olds).

For answers to the most frequently asked aspects of my online courses, please visit the FAQs section at the bottom of the homepage here.

*Please note: The prices of the course is per person. It is not permitted to buy a single log-in and then share it with colleagues, or show the videos to a number of people at a meeting or training event. Hopefully you agree that the courses represent good value for money, and I need to ensure I protect my livelihood. If you wish to discuss bulk purchase discounts or using my materials in another form, please drop me an email at mrbartonmaths@gmail.com. Thanks so much for your understanding.

Video introduction

Contents

Background

How can you access all the questions and data used in this course?
1. Where do the questions come from?
  • 3 mins
  • 46.8 MB
2. Where does the data come from?
  • 2 mins
  • 25 MB
3. How to get the data and explanations
  • 2 mins
  • 14.9 MB
4. A few thoughts about mistakes and misconceptions
  • 10 mins
  • 167 MB

Decimals: What do students meet and when?

When do our students first encounter the key concepts involving decimals?
A quiz!
  • 3 mins
  • 52.2 MB
Decimals: What do students meet and when?
  • 63.4 KB
The answers!
  • 7 mins
  • 202 MB

Decimals: Place value and ordering - misconceptions

Where do students struggle with place value and ordering?
Where students go wrong - introduction
  • 1 min
  • 11.7 MB
What students do well
  • 3 mins
  • 34.5 MB
Q1
  • 93.4 KB
Q1 - data
  • 3 mins
  • 49.6 MB
Q2
  • 88.6 KB
Q2 - data
  • 4 mins
  • 67.5 MB
Q3
  • 80.9 KB
Q3 - data
  • 3 mins
  • 35.9 MB
Q4
  • 77.2 KB
Q4 - data
  • 2 mins
  • 41.7 MB
Q5
  • 172 KB
Q5 - data
  • 3 mins
  • 6.41 MB
Reflection
  • 1 min
  • 7.38 MB

Decimals: Place value and ordering - methods and mastery

How can we help our students better understand place value and ordering?
1. Conceptual Thinking
  • 16 mins
  • 366 MB
2. Words Matter
  • 7 mins
  • 132 MB
3. Visualisation
  • 8 mins
  • 163 MB
4. Number Lines
  • 11 mins
  • 214 MB
5. Decimals - Introductory Tasks
  • 8 mins
  • 179 MB
6. Decimals - Seeking Inspiration
  • 6 mins
  • 112 MB

Decimals: Working with 0.1, 0.01, 10, 100 etc - misconceptions

Where do students struggle with 0.1, 0.01, 10, 100 etc?
What students do well
  • 2 mins
  • 24.7 MB
Q1
  • 143 KB
Q1 - data
  • 2 mins
  • 52.1 MB
Q2
  • 72.4 KB
Q2 - data
  • 2 mins
  • 30.6 MB
Q3
  • 72.2 KB
Q3 - data
  • 4 mins
  • 56.8 MB
Reflection
  • 1 min
  • 7.13 MB

Decimals: Working with 0.1, 0.01, 10, 100 etc - methods and mastery

How can we help our students with 0.1, 0.01, 10, 100 etc?
1. Powers of 10
  • 5 mins
  • 113 MB
2. Using calculators
  • 7 mins
  • 168 MB
3. Equivalence of multiply and divide
  • 4 mins
  • 72 MB

Decimals: Addition and subtraction - misconceptions

Where do students struggle with adding and subtracting decimals?
1. What do students do well
  • 4 mins
  • 52.7 MB
Q1
  • 70.9 KB
Q1 - data
  • 3 mins
  • 72.1 MB
Q2
  • 69.8 KB
Q2 - data
  • 2 mins
  • 30.1 MB
Q3
  • 69.2 KB
Q3 - data
  • 3 mins
  • 54.4 MB
Reflection
  • 1 min
  • 10.4 MB

Decimals: Addition and subtraction - methods and mastery

How can we help our students with adding and subtracting decimals?
Addition and Subtraction
  • 7 mins
  • 136 MB

Decimals: Multiplication - misconceptions

Where do students struggle with multiplying decimals?
What students do well
  • 3 mins
  • 39.2 MB
Q1
  • 69.2 KB
Q1 - data
  • 4 mins
  • 83.5 MB
Q2
  • 70.5 KB
Q2 - data
  • 3 mins
  • 46.3 MB
Q3
  • 120 KB
Q3 - data
  • 3 mins
  • 58.7 MB
Reflection
  • 1 min
  • 5.17 MB

Decimals: Multiplication - methods and mastery

How can we help our students with multiplying decimals?
1. Multiplication Methods
  • 14 mins
  • 314 MB
Questions to try
  • 36.5 KB
2. Multiplication Tasks
  • 4 mins
  • 80.7 MB
3. Using calculators in multiplication
  • 6 mins
  • 147 MB

Decimals: Division - misconceptions

Where do students struggle with dividing decimals?
Q1
  • 83.6 KB
What students do well
  • 3 mins
  • 35.9 MB
Q1 - data
  • 3 mins
  • 47.3 MB
Q2
  • 86.8 KB
Q2 - data
  • 4 mins
  • 96 MB
Q3
  • 122 KB
Q3 - data
  • 4 mins
  • 72.8 MB
Reflection
  • 1 min
  • 6.68 MB

Decimals: Division - methods and mastery

How can we help our students with dividing decimals?
1. Division concepts
  • 7 mins
  • 137 MB
2. Exploring division with calculators
  • 4 mins
  • 95.9 MB
3. Division tasks
  • 4 mins
  • 79.1 MB

Decimals: Related place value calculations - misconceptions

Where do students go wrong with related place value calculations?
What students do well
  • 3 mins
  • 40.5 MB
Q1
  • 118 KB
Q1 - data
  • 3 mins
  • 64.2 MB
Q2
  • 83.4 KB
Q2 - data
  • 3 mins
  • 55.4 MB
Reflection
  • 1 min
  • 7.76 MB

Decimals: Related place value calculations - methods and mastery

How can we help our students with related place value calculations?
Related calculations
  • 8 mins
  • 144 MB

Decimals: Extra resources from our sponsors

Resources for this section of the course from White Rose and AQA
1. White Rose Maths - place value
  • 2.86 MB
2. White Rose Maths - arithmetic
  • 2.14 MB
AQA - FDP quiz.pdf
  • 72.7 KB

Wrap-up

Bringing everything you have learned in this course together
1. A possible planning structure
  • 7 mins
  • 147 MB
IMAGE - A possible planning structure
  • 353 KB
2. Reflection
  • 4 mins
  • 94.7 MB
3. My online courses
  • 5 mins
  • 111 MB

Links to my other work

Here are some of the other things I do!
My books
  • 35.2 KB
My podcasts
  • 73.5 KB
My websites
  • 34.1 KB
Other stuff!
  • 72.2 KB

FAQs

Is this course suitable for primary school teachers?

Craig and Jo are secondary school teachers, and make no claims to be exerts in the primary domain. However, students encounter two of the areas covered - decimals and coordinates - as early as Year 4, and Craig and Jo discuss students' early experiences, the misconceptions they hold and the approaches that will help them better understand these areas. In addition, the general approach to planning and teaching shared in this course should transfer across to the primary domain. So teachers of Years 4 to 6 should find the course useful and relevant.

Is this course suitable for non-UK teachers?

Absolutely! Whilst Craig and Jo make reference to the English National Curriculum when describing students' journeys with these ideas, the misconceptions, methods and resources shared are relevant no matter where teaching and learning takes place.

How long can I access the course content for?

As long as this platform exists! That is one of the key advantages of an online course - you can go back over the content again and again.

If, for whatever reason, the platform shuts down or we need to remove content, we will give you as much notice as possible (we will aim for at least 6 months) so you can complete the course. 

In addition, from time to time we may update the course content with new videos, resources and ideas. We will email you when this happens and you will have access to this as well for no extra cost.

Can I pay with an invoice instead of online?

The easiest way to pay is online. The service accepts all major cards as well as PayPal. Paying this way gives you immediate access to the course.

But if you need to pay via invoice, then no problem!  Just send an email to mrbartonmaths@gmail.com with details of:
1. The email addresses of the delegates taking the course
2. Your school name and address
3. Who to email to invoice to
Then I will send you an invoice and register your colleagues on the course.

Can I get a VAT receipt?

Of course!

If you have paid online, just login, click on the drop-down menu next to your picture on the top-right of the screen, select Billing and you can print off your VAT receipt(s) there.

image.png 26.79 KB


If you pay-offline (by emailing me as described above) then I will email you an invoice which will serve as your VAT receipt.

Can I buy one pass and then share it with my colleagues?

I am afraid not. The price of each course is per person.

Each person who pays for the course has their own log-in details, so the platform can keep track of their individual progress. This allows you to log back on using any device and pick up where you left off. 

Can I share the videos and resources from the course in a departmental meeting?

If everyone in your department has purchased a course pass, then absolutely! Indeed, this is a great way to make use of the course - discussing the misconceptions as a team, sharing your own experiences, and then enjoying trying out and reflecting on the methods, activities and resources shared.

However, if just one or two colleagues have purchased a pass, then you are not permitted to share the materials with others.

We have purposely keep the cost of this course as low to allow as many teachers as possible to access it, and as you will see below there are discounts available for departments. Please respect this if considering sharing the materials.  

Can I show the videos as part of a meeting or training event?

I am afraid not. The price of the course is per person.

If you wish to discuss using the materials as part of a meeting or training event, please email me at mrbartonmaths@gmail.com

Are there discounts available?

Absolutely!

As discussed above, we really want teachers to use these materials collaboratively.

If you want to purchase a bundle of passes for the courses, then we offer the following discount:

For every 5 course passes you buy, you get the next 1 free

To take advantage of this offer you will need to pay via invoice. Just drop me an email at: mrbartonmaths@gmail.com 

If you want to purchase 50+ plus course passes (perhaps you are an academy chain wanting to buy for several of you maths departments, or a PGCE tutor wanting your cohort of students to have access), or there are other circumstances that may qualify you for an extra discount, then let me know via email and we can work out a deal.