__Year 7 Secure Skills Include__
**Number & Measure:**
· Factors, Multiples, Squares, Square Roots, Primes and Divisibility tests. Powers and roots. Finding HCF and LCM logically.
· Simple estimation and rounding to decimal places and significant figures.
· Multiplication – standard methods up to 4 digit by 2 digit.
· Negative numbers including +/-/x/÷and order of operations.
· Conversion between metric units.
· Time including time in decimal form.
· Fractions, decimals, and percentage problems.
**Geometry:**
· Angle facts.
· Properties of 2D and 3D shapes.
· Area and perimeter of rectangles, triangles, parallelograms and composite shapes.
· Volume and surface area of cubes and cuboids.
· Metric and Imperial Units and their connections.
· Reflective and rotational symmetry in shapes, transformations & formal constructions.
· Coordinates and straight line graphs.
**Algebra:**
· Using letters in place of unknowns & variables and simplifying expressions. Create and use formulae.
· Solving simple equations.
· Generate sequences from term-to-term and position to term rules.
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**Statistics:**
· Work confidently with discrete data. Representing and interpreting data in graphical form. Comparing two data sets.
**Ratio, Proportion and Rates of Change:**
· Understand the relationship between ratio and proportion.
· Solve proportional and ratio problems. |
__Year 8 Secure Skills Include__
**Number & Measure:**
· Use integer powers of 2, 3, 4, 5 and their associated roots.
· Four rules of fractions and negative numbers and questions involving BIDMAS.
· Multiply and divide an integer by a decimal and a decimal by a decimal.
· Prime factor form including application to highest common factor and lowest common multiple.
· Use multipliers to calculate a percentage increase/decrease.
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**Geometry: **
· Angles associated with parallel lines.
· The sums of the interior and exterior angles of regular/irregular polygons.
· Transform 2-D shapes by simple combinations of rotations, reflections, enlargements and translations, on paper and using ICT.
· Formal constructions and loci, both by reasoning and by using ICT, to produce shapes and paths.
· Use bearings including the eight compass point bearings and three-figure bearings.
· Extend area to trapezium; calculate areas of compound shapes.
**Algebra:**
· Recognise and plot equations of the form y = mx + c correspond to straight-line graphs.
· Construct linear functions arising from real-life problems and plot their corresponding graphs; discuss and interpret graphs arising from real situations.
· Construct and solve linear equations with integer coefficients (unknown on either or both sides, without and with brackets).
· Begin to work with inequalities such as listing integer values that satisfy -4 ≤ x< 3 and appreciating all the real values of x that satisfy this.
· Use linear expressions to describe the nth term of a linear sequence.
**Probability:**
· Find and record all mutually exclusive outcomes for single events and two successive events in a systematic way, using two-way tables, tree diagrams and Venn diagrams.
**Statistics:**
· Scatter graphs and linear correlation.
· Understand what is meant by a sample.
· Design questionnaires.
· Produce and interpret stem and leaf diagrams, pie charts, bar charts and frequency diagrams.
· Averages from a frequency table.
· Compare two or more sets of data.
**Ratio, Proportion and Rates of Change:**
· Use Scale drawings and map scales.
· Use the unitary method to solve simple word problems involving ratio and direct proportion.
· Divide a quantity into two or more parts in a given ratio, find missing quantities from a ratio and express a ratio in the form
1: n |
__Year 9 Secure Skills Include__
**Number & Measure:**
· Cancel common factors before multiplying or dividing fractions.
· Multiply and divide by decimals.
· Use a calculator efficiently to perform complex calculations with numbers of any size including fractions and negative numbers, knowing not to round during intermediate steps of a calculation; use p and sign change keys, function keys for powers, roots and fractions, brackets and the memory. Interpret the display in context.
· Estimate square roots and cube roots.
**Geometry:**
· Extend angles in polygons work.
· Convert between area and volume measures (mm2 to cm2, cm2 to m2, mm3 to cm3, cm3 to m3, and vice versa).
· Find the circumference and area of a circle.
· Calculate the surface area and volume of right prisms.
· Understand congruence.
· Visualise and use 2-D representations of 3-D objects; including plans and elevations.
· Enlarge 2-D shapes, given a centre of enlargement and any scale factor, on paper and using ICT; identify the scale factor of an enlargement and recognise that enlargements preserve angle but not length.
· Pythagoras’ Theorem.
· Trigonometry in right-angled triangles
**Algebra:**
· Find the inverse of a linear function.
· Construct and solve linear equations with integer coefficients.
· Use systematic trial and improvement methods and ICT tools to find approximate solutions of equations such as
*x*3 + *x* = 20.
· Solve problems involving direct proportion using algebraic methods.
· Generate points and plot graphs of linear functions where *y* is given implicitly in terms of x,
e.g. *ay* + *bx* = 0, *y* + *bx* + *c* = 0.
· Distance–time graphs.
· Factorise by common factors.
· Use formulae from mathematics and other subjects.
· List integer values that satisfy a given inequality and represent inequalities on number lines.
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**Probability:**
· Use frequency trees and link to probabilities.
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**Statistics:**
· Work confidently with continuous data including: grouping data, estimating the mean, modal class and the interval containing the median.
**Ratio, Proportion and Rates of Change:**
· Find percentage changes.
· Calculate simple interest, VAT, discounts, pay rises and simple compound interest.
· Interpret and use ratio in a range of contexts, including solving word problems.
· Extend working with map scales. |