Mathematics at Hardwicke


A high-quality Mathematics education is the fundamental key to unlocking an understanding of the real world and being able to confidently reason through solving problems, from simpler problems to the most intriguing of real-life problems.  At Hardwicke, we provide this education to enable our children of the future to SHINE brightly as they venture into the world where mathematics is essential across everyday life, critical to science, technology and engineering, and necessary for financial literacy and most forms of employment. 


At Hardwicke, we follow the Mastery of Maths approach and use the Can Do Scheme to support our teaching and learning. A mathematical concept or skill has been mastered when a child can represent it in multiple ways, has the mathematical language to communicate related ideas, and can demonstrate deep understanding through rich and complex problem-solving in a range of contexts. Our curriculum using the Can Do Scheme provides pupils with a deep understanding of the subject through a concrete, pictorial and abstract approach. This ensures pupils fully understand what they are learning.


Through our Mathematics teaching, we aim for all pupils to:

➢ Become fluent in the fundamentals of mathematics so that they develop conceptual understanding and the ability to recall and apply knowledge rapidly and accurately

➢ Solve problems by applying their mathematics to a variety of problems with increasing sophistication, including in unfamiliar contexts and to model real-life scenarios

➢ Reason mathematically by following a line of enquiry and develop and present a justification, argument or proof using mathematical language

➢ Have an appreciation of number and number operations, which enables mental calculations and written procedures to be performed efficiently, fluently and accurately to be successful in mathematics


Curriculum Implementation


We deliver our Mathematics teaching through two daily sessions – our Mastery lesson and our Maths on Track (MOT) session.


Mastery Lesson

Our Mastery lessons happen in the morning and last 45 minutes. This is where our new teaching happens. A typical lesson design involves:

1.) Hook: Introduction which generates discussion about the lessons key learning point.

2.) Teach & Practise: Live modelling of the new learning with explicit use of potential misunderstandings as all children practise together.

3.) Hinge question: Allows for fluid grouping. Who understands? Who needs more support?

4.) Do it: Independent task 5 questions incorporating procedural variation

5.) Stretch it: Explain a misconception using precise mathematical vocabulary and the key concept statement (What it is/What it isn’t)

6.) Solve it: Apply understanding to solve new problems



Maths on Track (MOT)

Our MOT sessions are separate to our Mastery lessons and happen in the afternoon, usually for 20 minutes. In these sessions, we practice our fluency in all areas of Maths previously taught, primarily focusing on arithmetic. Each day has an area of focus:

Monday – Number and Place Value

Tuesday – Addition and Subtraction

Wednesday – Times tables Year 2 and KS2

                 Counting in 2s, 5s and 10s and Number Bonds Year 1

Thursday – Fractions/Decimals/Percentages

Friday – Deliberate practice of any areas of Maths the class needs more practice on.


During these sessions, if children haven't grasped the new learning from the Mastery lesson in the morning, they are given opportunities to further practice this if needed.

Supporting your child's learning at home

Maths Knowledge Organisers 

These knowledge organisers link to our Teaching for Mastery Approach using the CanDo Scheme,  and capture the key learning for each term for each year group.

They are clear and structured in sections to support remembering the new learning that has taken place. These are really useful for parents/carers to use to support their child's learning at home.

Useful Websites

Times Tables Posters

Curriculum Road Maps

The Yearly Overview is designed in the form of a Road Map. It shows the units of learning throughout the year and the terms that they are taught in.

Maths Vocabulary at Hardwicke
Please use the document below to understand the vocabulary used within each Year Group.
Remote Learning 
Please use these resources to support your child with their Maths Learning at home.