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S1 Mathematics (Level 3 with benchmarks) Course Plan



  • Curriculum Area:

    Whole Numbers and Integers

    Curriculum for Excellence ‘Benchmark’

    Solving addition, subtraction, multiplication and division problems*

    Working with squares and square roots

    Using and finding powers of numbers*

    Identifying multiples and least common multiple*

    Identifying factors and highest common factor*

    Identifying prime numbers below 100*

    Solving problems by adding and subtracting negative numbers*

    Solving problems by multiplying and dividing negative numbers*

    Knowing and using the correct order of operations

  • Curriculum Area:

    Decimals and Rounding

    Curriculum for Excellence ‘Benchmark’

    Solving addition, subtraction, multiplication and division problems up to three decimal places*

    Multiplying decimals by 10, 100, 1000

    Multiplying decimals by a single digit

    Rounding decimal fractions to up to three decimal places*

    Rounding to a given number of significant figures

    Using scientific notation

  • Curriculum Area:


    Curriculum for Excellence ‘Benchmark’

    Calculating any fraction of a number

    Finding equivalent fractions

    Simplifying fractions

    Converting from top heavy (improper) fractions to mixed numbers and vice versa*

    Adding and subtracting fractions, including changing denominator*

    Multiplying and dividing fractions

  • Curriculum Area:


    Curriculum for Excellence ‘Benchmark’

    Finding a given percentage of a number with and without a calculator

    Increasing and decreasing a quantity by a percentage

    Calculating one number as a percentage of another

    Working with the equivalence of fractions, decimals and percentages*

    Solving problems with percentages

  • Curriculum Area:

    Block 1 - Time, Distance, Speed

    Curriculum for Excellence ‘Benchmark’

    Calculating time intervals across minutes, hours and days*

    Working with fractions of seconds

    Calculating average speed, distance and time*

    Solving problems using Speed, Distance and Time

    Distance-Time graphs

  • Curriculum Area:


    Curriculum for Excellence ‘Benchmark’

    Create symmetrical patterns by:*

    Completing symmetrical shapes using line symmetry (including diagonal reflection)

    Completing symmetrical shapes using rotational symmetry

  • Curriculum Area:

    Impact of Maths

    Curriculum for Excellence ‘Benchmark’

    Historical Mathematician Project or Mini Talk on a Mathematical subject*

  • Curriculum Area:


    Curriculum for Excellence ‘Benchmark’

    Using and calculating complementary angles (add to 90o) and supplementary angles (add to 180o)

    Identifying and using vertically opposite, corresponding (F) angles and alternate (Z) angles*

    Using the sum of the angles in a triangle (180o)*

  • Curriculum Area:

    Block 2 - Information Handling

    Curriculum for Excellence ‘Benchmark’

    Interpreting data and graphs, including describing trends*

    Determine if data is robust, vague or misleading*

    Interpreting and creating pie charts

    Interpreting and creating stem and leaf diagrams

    Interpreting and creating scattergraphs

    Calculating the probability of a simple event*

    Understanding and using the link between frequency and probability*

    Using frequency tables with grouped data

    Calculating the mean, median, mode and range of a data set

  • Curriculum Area:


    Curriculum for Excellence ‘Benchmark’

    Collecting like terms to simplify algebraic expressions*

    Evaluating expressions  and formulae by substituting both positive and negative values*

    Expanding single sets of brackets

    Factorising expressions by finding a common factor

    Solving one and two step linear equations*

    Solving simple inequalities

    Solving equations with xs on both sides

    Solving equations involving brackets

    Solving equations involving fractions

    Forming equations in order to solve problems

  • Curriculum Area:

    Coordinates and Geometry

    Curriculum for Excellence ‘Benchmark’

    Using x and y axes to plot points in four quadrants

    Describing sets of points

    Constructing triangles and other 2D shapes using a ruler, compasses and protractor*

  • Curriculum Area:

    Block 3 - Measurement & Shape

    Curriculum for Excellence ‘Benchmark’

    Calculating the perimeter of simple shapes

    Investigating the properties of the rhombus, kite, parallelogram and trapezium

    Investigating types of triangles (equilateral, isosceles, scalene)

    Calculating areas of rectangles, triangles and compound shapes*

    Calculating the areas of other quadrilaterals

    Calculating the circumference of a cirle

    Solving problems involving weight/mass using tonnes, kg, g

    Solving problems involving capacity using litres and ml

    Calculating the volume of cubes, cuboids and other prisms*

    Calculating the surface area of a cuboid

    Using and converting between appropriate units for length, area and volume*

  • Curriculum Area:

    Scale and Direction

    Curriculum for Excellence ‘Benchmark’

    Using a linear scale factor to enlarge and reduce shapes*

    Working with three figure bearings*

    Making scale drawings*

    Using scale given as a ratio

  • Curriculum Area:

    Formulae and Sequences

    Curriculum for Excellence ‘Benchmark’

    Investigating square numbers, cubic numbers and triangular numbers

    Investigating Fibonacci sequences and other sequences

    Describing numerical patterns in words

    Using symbols to describe a pattern using a formula*

  • Curriculum Area:

    Block 4 - Money

    Curriculum for Excellence ‘Benchmark’

    Completing budgeting tasks, using digital technology where appropriate*

    Comparing financial products and other services and finding the best value for money*

    Understanding the terms debit, credit, APR, per annum, direct debit, standing order, interest rate*

    Converting between different currencies*

  • Curriculum Area:

    3D Shape

    Curriculum for Excellence ‘Benchmark’

    Comparing 3D solids in terms of vertices, edges and faces

    Isometric drawing of 3D Solids

    Investigating the link between 3D solids and their nets

  • Curriculum Area:

    Ratio and Proportion

    Curriculum for Excellence ‘Benchmark’

    Expressing quantities as ratios*

    Sharing quantities in a given ratio

    Solving problems involving direct proportion

    Solving problems involving inverse proportion