Mathematics

Maths at TOMO

Within the timetable, there is designated time allocated to a maths activity each morning. Further details can be found on our TOMO Curriculum Maps. In addition to these activities, we are able to provide opportunities to meet further National Curriculum statements, after discussion with home schools.

This may include making clinometers, data handling and estimating both height and distance. You can see examples of these below:

Activites

Geometry

Pupils use the language of position, direction and motion (including: left and right, top, middle and bottom, on top of, in front of, above, between, around, near, close and far, up and down, forwards and backwards, inside and outside)
Describe positions on the full coordinate grid in all four quadrants

Ratio and proportion

Solve problems involving the relative sizes of two quantities where missing values can be found by using integer multiplication and division facts
Solve problems involving the calculation of percentages and the use of percentages for comparison
Solve problems involving similar shapes where the scale factor is known or can be found

Statistics

Interpret and construct simple pictograms, tally charts, block diagrams and simple tables
Ask and answer simple questions by counting the number of objects in each category and sorting the categories by quantity
Ask and answer questions about totalling and comparing categorical data
Interpret and present data using bar charts, pictograms and tables, solve one-step and two-step questions using information presented in scaled bar charts and pictograms and tables
Understand and use a greater range of scales in their representations
Solve comparison, sum and difference problems using information presented in a line graph
Complete, read and interpret information in tables, including timetables
Calculate and interpret the mean as an average

KS1

Compare, describe and solve practical problems for: lengths and heights; mass/weight; capacity and volume; time
Measure and begin to record the following: lengths and heights; mass/weight; capacity and volume; time
Recognise and know the value of different denominations of coins and notes
Sequence events in chronological order using language
Recognise and use language relating to dates, including days of the week, weeks, months and years
Tell the time to the hour and half past the hour and draw the hands on a clock face to show these times.
In order to become familiar with standard measures, pupils begin to use measuring tools such as a ruler, weighing scales and containers

KS2

Choose and use appropriate standard units to estimate and measure length/height in any direction (m/cm); mass (kg/g); temperature (°C); capacity (litres/ml) to the nearest appropriate unit, using rulers, scales, thermometers and measuring vessels; compare and order lengths, mass, volume/capacity and record the results using >, < and =
Convert between different units of metric measure
Understand and use approximate equivalences between metric units and common imperial units such as inches, pounds and pints
Measure and calculate the perimeter of composite rectilinear shapes in centimetres and metres
Calculate and compare the area of rectangles (including squares), and including using standard units, square centimetres (cm2) and square metres (m2) and estimate the area of irregular shapes
Estimate volume and capacity
Solve problems involving converting between units of time
Use all four operations to solve problems involving measure using decimal notation, including scaling
Pupils continue to measure using the appropriate tools and units, progressing to using a wider range of measures, including comparing and using mixed units (for example, 1 kg and 200g) and simple equivalents of mixed units (for example, 5m = 500cm).
Solve problems involving the calculation and conversion of units of measure, using decimal notation up to three decimal places where appropriate
Use, read, write and convert between standard units, converting measurements of length, mass, volume and time from a smaller unit of measure to a larger unit, and vice versa, using decimal notation to up to three decimal places
Convert between miles and kilometres
Recognise that shapes with the same areas can have different perimeters and vice versa
Recognise when it is possible to use formulae for area and volume of shapes
Calculate the area of parallelograms and triangles
Calculate, estimate and compare volume of cubes and cuboids using standard units, including cubic centimetres (cm3) and cubic metres (m3), and extending to other units
Pupils connect conversion (for example, from kilometres to miles) to a graphical representation as preparation for understanding linear/proportional graphs.
They know approximate conversions and are able to tell if an answer is sensible.

KS3

Develop fluency
Consolidate their numerical and mathematical capability from KS2
Select and use appropriate calculation strategies to solve increasingly complex problems
Use language and properties precisely to analyse 2-D and 3-D shapes, probability and statistics
Reason mathematically
Extend their understanding of the number system; make connections between number relationships, and graphical representations
Extend and formalise their knowledge of ratio and proportion in working with measures and geometry, and in formulating proportional relations algebraically
Use standard units of mass, length, time, money and other measures, including with decimal quantities
Round numbers and measures to an appropriate degree of accuracy for example, to a number of decimal places or significant figure
Use scale factors, scale diagrams and maps
Use ratio notation, including reduction to simplest form