Curriculum for Excellence ‘Benchmark’

Add and subtract integers and Multiply and divide integers

Non-calculator multiplication and division

Round to decimal places and significant figures

Non-calculator and calculator percentage of amounts

Increase and decrease a quantity by a percentage

Calculate the percentage increase or decrease

Find and use ratios and proportional division

Use Direct Proportion and Use Inverse Proportion

Multiply and divide fractions and mixed numbers (non-calc)

Add and subtract fractions and mixed numbers (non-calc)

Repeated percentages, “Backwards” percentages            

Curriculum for Excellence ‘Benchmark’

Calculate time intervals in 12 and 24 hour clock, including time zone adjustments

Calculate speed, distance and time (including fractions of hours)

Solve time management problems

Solve scheduling problems

Curriculum for Excellence ‘Benchmark’

Expand a single bracket using a numerical common factor and Algebraic common factor

Expand pairs of brackets: Binomial x Binomial and Binomial x Trinomial

Factorise expressions with a numerical common factor and Algebraic common factor

Evaluate simple expressions and Evaluate expressions involving fractions, powers and roots

Extend a simple pattern and Determine and use formula for simple patterns

Know and use the formula for the gradient of a straight line

Recognise and draw lines of the form x = a and y = b

Recognise and draw lines of the form y = mx + c, knowing the meaning of m and c

Change the subject of a formula

Solve equations with X’s on both sides and Solve equations with brackets

Curriculum for Excellence ‘Benchmark’

Find the circumference of a circle and Find the area of a circle.

Find the areas of kites, parallelograms and trapeziums and Find the area of composite shapes

Calculate the volume of a prism and Calculate the volume of cones and spheres

Use scale factors to find lengths, areas and volumes and Use scale factors to create scale drawings

Use the Theorem of Pythagoras to find the length of sides, the distance between points, show a triangle is (not) right angled, find lengths in 3D space

Use shape and circle properties to calculate the size of angles

Read scales for length, volume, weight and temperature

Understand and use tolerances

Convert between different units of measurement

Find the surface area of a cuboid and cylinder    

Curriculum for Excellence ‘Benchmark’

Find the lengths of sides in a right-angled triangle using SOH CAH TOA (numerator only)

Find the size of angles in a right-angled triangle using SOH CAH TOA

Find the length of hypotenuse or adjacent side as denominator using SOH CAH TOA

Find the area of a triangle using A = ½ ab sin C

Find the lengths of sides and angles using the sine rule

Find the lengths of sides and angles using the cosine rule

Curriculum for Excellence ‘Benchmark’

I

Construct a frequency table with and without class intervals

Interpret and draw bar charts, pie charts, stem and leaf diagrams, scatter plots and Draw and use a line of best fit

Calculate, interpret and compare the mean, median, mode and range of data sets

Calculate the quartiles and five figure summary of a data set and Draw and interpret box plots

Describe trends in data, Calculate simple probabilities & Interpret and make decisions based on probabilities

Curriculum for Excellence ‘Benchmark’

Calculate wages, overtime, bonuses, commission, income tax

Determine the best deal and Understand special offers

Understand how credit and debit cards work and Calculate simple interest, compound interest

Investigate the cost of living