# DOTS+TODS™ Directed Number (+/-) Zero Pairs Red and Yellow Interlocking Algebra Counters

£14.96 EX TAX (£17.95 INC TAX) – Taxes & duties calculated at checkout –

DOTS+TODS™  Red and Yellow Maths Directed Number and Algebra Counters Representations of Positive and Negative Ones and Zero Pairs Support understanding of four operations and algebra equations with directed numbers Set of 100 pieces in plastic compartment box to keep organised 50 x Yellow DOTS to represent the value of positive one (+1) 50 x Red TODS to represent the value of negative one (-1) Interlocking design – DOTS+TODS fit together to make a clear representation of a zero pair in maths Use to teach addition, subtraction, multiplication and division of positive and negative numbers Can also be used to…

94 in stock (can be backordered)

## Description

#### What are Dots + Tods™ and how can they be used to teach concepts such as algebra and directed numbers?

Dots+Tods™ counters are Oakfield Learning’s teacher designed alternative to maths manipulatives such as double sided or two-colour counters and algebra tiles.  They help pupils ages 9+ to develop a deeper understanding of the basic concepts of algebra and the rules involved in adding, subtracting, multiplying and dividing directed (positive and negative) numbers.

Our set of interlocking DOTS+TODS™ contains 50 x DOT counters (representing a positive one) and 50 x TOD counters (representing a negative one) that together make a clear representation of a zero pair.  Choose between two different colour options (white DOTS and black TODS or Yellow DOTS with red TODS) which come in a plastic compartment storage box to keep them organised. DOTS+TODS™ directed number/algebra counters are are made from durable, thick plastic so they are easy to grasp, durable and simple to use.

Pupils are first introduced to positive and negative integers in KS2 in Year 4 when they are aged 8-9.  They first learn to count back through zero using negative numbers mainly in the context of temperature using thermometers, vertical and horizontal number lines.

In Year 5 and 6 the England National Curriculum states that pupils need to be able to interpret negative numbers in context, count forwards and backwards with positive and negative whole numbers, including through zero.  Our DOTS+TODS™ counters are suitable for use at this age and when used alongside number lines they can help pupils to become increasingly confident with solving problems involving positive and negative numbers.

In KS3, the National Curriculum for mathematics aims to ensure that all pupils ‘become fluent in the fundamentals of mathematics, including through varied and
frequent practice with increasingly complex problems over time, so that pupils develop conceptual understanding and the ability to recall and apply knowledge rapidly and accurately’.  In order to do this, Year 7 pupils often use algebra tiles, double sided or two colour counters as visual representations of directed numbers (positive and negative numbers) and zero pairs.  In secondary maths our DOTS+TODS™ counters are particularly beneficial to explore the rules of adding, subtracting, multiplying and dividing directed numbers, especially for pupils who require an alternative to number lines.

Rather than just learning rules with little conceptual understanding, our visual representations enable pupils to interact with concrete resources to explore what ‘ZERO PAIRS‘ are and why ‘A POSITIVE AND A NEGATIVE EQUALS A NEGATIVE‘ and ‘A NEGATIVE AND A NEGATIVE EQUALS A POSITIVE‘.

DOTS+TODS™ can also be used as an alternative to algebra tiles or counters to help pupils gain a deeper understanding of algebraic expressions and equations.

On our website and YouTube channel, we are creating some helpful video tutorials which demonstrate how to use DOTS+TODS™ with pupils to explore these concepts.  More videos coming soon!

You may also like to read our article: HOW TO HELP CHILDREN UNDERSTAND POSITIVE AND NEGATIVE NUMBERS

CARE INSTRUCTIONS:
Our DOTS+TODS™ are easy to keep clean and hygienic between uses.  As they are made from durable plastic rather than foam or cardboard, they can be sink washed or put in a dishwasher inside a suitable bag.

SAFETY INFORMATION:
WARNING: CHOKING HAZARD – Small Parts Not Suitable for Children Under 3 Years (36 months)
Ages 9+ Adult Supervision and Instruction Required
UKCA/CE Certified EN-71 Tested.
If you intend to buy this product for use outside the UK, EU or US, it is the your responsibility to check please check these standards comply and meet the specific requirements for your country.

Further information can be found on our website: https://oakfieldlearning.co.uk

We always love to know how our plavalmat® products are helping children to master maths so please share photos and experiences of using our resources on social media:

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