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 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 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 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 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 for Excellence ‘Benchmark’

Create symmetrical patterns by:*

Completing symmetrical shapes using line symmetry (including diagonal reflection)

Completing symmetrical shapes using rotational symmetry

Curriculum for Excellence ‘Benchmark’

Historical Mathematician Project or Mini Talk on a Mathematical subject*

Curriculum for Excellence ‘Benchmark’

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

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

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

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 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 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 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 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 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 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 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 for Excellence ‘Benchmark’

Expressing quantities as ratios*

Sharing quantities in a given ratio

Solving problems involving direct proportion

Solving problems involving inverse proportion