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# Maths

White Rose Maths

At Lace Hill Academy we use White Rose Maths, which focuses on the Concrete-Pictorial-Abstract Approach, and Teaching for Mastery Approach to support teaching and learning in Mathematics.

Please see below documents outlining our overview of Mathematics at Lace Hill Academy as well as a Key Recall Facts overview that children should develop and work on through their time at Lace Hill.

The Concrete-Pictorial-Abstract Approach

The CPA approach introduces mathematical concepts in a highly scaffolded way, enabling all our children to develop critical thinking skills, make mathematical connections and become confident mathematicians. It builds firm foundations and a deep understanding of mathematical concepts This approach is used throughout the school for units of work using a range of apparatus and equipment. Here are some examples of how this works in the classroom:

Concrete

The unit of work will begin with introducing the skills through the use of real objects or mathematical equipment. This enables the children to ‘act out’ the skill following a ‘hands on’ approach. In division in KS1, for example, this could be done by separating apples into red ones and green ones or by sharing 12 biscuits amongst 6 children. In division in KS2, this could be done by using a place value chart and counters to create the number and then moving them on the place value chart to divide by 10, 100 or 1000.

Pictorial

When the children have understood the ‘hands on’ experience they them move on to representations such as a diagram or picture. In the case of a division exercise this may be the action of circling objects. In KS2 this will be a similar approach where the child may draw their own place value chart and draw arrows to complete the division calculation.

Abstract

Finally, the child should be able to demonstrate the skills through mathematical symbols. For example: 12 ÷ 6 = 2. In KS2, the children will then use mathematical symbols to demonstrate their knowledge and understanding of the skill. For example: 345 ÷ 100 = 3.45

Putting this into practice

Pupils are introduced to a new mathematical concept and pupils may work together in pairs, guided groups or as a part of a whole class input to complete activities with concrete resources, on whiteboards or in maths books. When the children have confidence with the new learning, they move onto working independently to practice the skills at their own pace. This could using the White Rose worksheets or a supplemented resource. These activities will develop fluency, build mathematical confidence and lead towards a greater depth of understanding.

What is the Maths Hub?

In September 2018, we joined the Maths Hub programme so that we are able to continue to develop Teaching For Mastery at Lace Hill. A central component of the Maths Hub programme is developing ‘Five Big Ideas’ which underpin Teaching for Mastery: coherence, connecting new ideas to concepts that are already understood; representation and structure, noticing patterns and making connections; mathematical thinking, working on, thinking about and reasoning with an idea that has been taught; fluency, quick and efficient recall of facts and procedures; and variation, giving examples that display an idea as well as those that don’t for children to notice, as well as varying practice questions so that repetition is avoided. An example of variation would be subtracting by 100 and showing variation through calculations:

345 – 100

335 – 100

325 – 100

305 – 100

Notice that 315 – 100 is not included so that they are not repeating but rather thinking about the pattern and being able to apply it.

Times Tables Rockstars

Children in Y4 will take part in a compulsory multiplication check test from May 2020. Therefore it is vital that all children have a secure knowledge of the times tables facts as soon as possible. Children in Key Stage 2 all use a programme called Times Tables Rockstars which is an online game where they practise and revise their times tables. This software has many different game plays available to the children: Soundcheck, where children have individual timed questions to answer; Studio, where children can set their baseline speed and earn a ‘rock status’; Garage, where teachers set individualised times tables for children to practise; and other multi-player options for the children to challenge one another and play against other children.

All of the children have a login and password which they can use to practise times tables in school and at home. Children may use TT Rockstars at school to support them in improving their times tables recall. This software is a great opportunity for children to use devices to improve their learning. We strongly encourage all children to take advantage of this game at home to really secure their times tables knowledge.

Mathletics

Mathletics is an online programme available to all children in Y1-6. There are many different modes and games that this software can be used for to enhance and support mathematical learning. Each mathematical topic shows the different objectives covered by year group with available games for children to play and questions to answer. The great thing about Mathletics is that it personalises the questions to each child; the more you get correct, the more challenging the questions become.

Useful websites to support the maths learning taught at Lace Hill:

https://play.ttrockstars.com/ - Times Tables Rockstars

https://play.numbots.com/?#/account/school-login-type - Numbots, mostly suitable for KS1

https://www.mathletics.com/uk/  - Mathletics

https://www.mathschase.com/ - times tables website