Maths Curriculum Map

Maths Curriculum Map

 

 

Autumn 1

Autumn 2

Spring 1

Spring 2

Summer 1

Summer 2

Year 7

Topic

 

Numeracy (16hrs)

Mental and written methods of calculations.

Place Value (inc decimals).

Multiply and divide by 10s, 100s & 1000s.

Equality and inequality symbols.

1-15 times tables.

Division laws.

Number properties 1 (16hrs)

Add, subtract, multiply and divide (inc decimals)

Order numbers (inc decimals & fraction) using appropriate symbols.

Word problems

Number properties 2(14hrs)

Number pattern 1-1000

Squares, cubes, factors, multiples, primes.

Prime factorisation to find LCM, HCF

Geometry and measures (14 hrs)

Draw, measure and name acute, obtuse and reflex angles

Find unknown angles (straight lines, at a point, vertically opposite)

 

Algebra 1 (12hrs)

Collecting like terms (inc indices).

Substitution (inc fractions & decimals).

Formulae

Fractions, decimals &

percentages (12hrs)

Convert between percentages & fractions & decimals.

Percentage of a quantity

Identify fraction of a shape.
Identify fraction of an amount.
Recognise fractions less than 1.

 

Approximation (10hrs)

Rounding, significant figures and estimation.
 

Algebra 2 (10hrs)

Simplifying algebraic expressions (inc powers & brackets)

Linear equations

 

Sequences graphs (14hrs)

Sequences (term to term and nth term).

Plot the graphs of simple linear functions.

Solve problems and spot patterns in coordinates.

Collecting & interpreting data (14hrs)

Collecting & organising data.

Construction & interpretation of graphs –pictograms, bar charts, line graphs)

Interpret &compare

Statistical representations using averages.

 

Proportion 1 (12hrs)

Ratio (equivalent, of a quantity)

Understand how to compare proportions when given a ratio of two quantities.

Ratio and scale (12hrs)

Interpret scales on a range of measuring instruments.
Measure and draw lines with a ruler and measure & draw angles with a protractor.
Construct scale drawings.
Interpret map/model scales as a ratio.
Identify the scale factor of an enlargement of a shape.

Skills

 

 

AO1: use and interpret notation correctly        

AO3:   develop strategies for solving problems and use these strategies both in working within mathematics and in applying mathematics to practical contexts                                       

AO1: Recall &accurately carry out set tasks requiring multi-step solutions.

 

Begin to draw simple conclusions & explain reasoning.

 

 

AO1: Use accurate notation

AO2: Present information & results in a clear & organised way.

AO3: develop strategies for solving problems and use these strategies in applying mathematics to practical contexts

AO3: identify the necessary information to carry through tasks and solve mathematical problems and check results and consider whether they are sensible.

AO1: Use accurate notation

AO2: use& make accurate mathematical diagrams, tables and graphs. Present and interpret solutions/ findings in the context of the problem/task.

AO1: recognise & describe patterns in numbers.

AO3: develop strategies for solving problems and use these strategies in applying mathematics to practical contexts.

AO2: constructs chains of reasoning to achieve a given result.

Assessment

 

AO3: problem solving with number properties.

 

AO1: explain reasoning for selecting specific solutions.

 

 

AO3: applying algebra& FDP to practical contexts.

 

 

AO3: solve algebra & approximation problems including inverse operation.

 

AO2: make simple inferences by interpreting diagrams, tables and graphs.

AO1:describe patterns through sequences.

AO3: Applying ratios & proportion to practical contexts.

AO2:Interpreting maps

Year 8

Topic

 

Algebra 3 (16hrs)

Collecting like terms (inc indices).

Substitution (inc formulae)

Change the subject of a formula

Expansion (inc double brackets)

Function machines

Algebraic proof

Shape properties (16hrs)

2-d shapes

Reflection, rotation.

Sketching/drawing accurately, lines, parallel lines, perpendicular lines, right angles.
Properties of regular polygons i.e. number of sides, order of symmetry, lines of symmetry

Construct triangles.

 

 Triangles & constructions (12 hrs)

Congruence & similarity

Accurately construct: triangles, perpendicular bisector, bisect angles.

 Recognise and use the perpendicular distance from a point to a line as the shortest distance to the line

Pythagoras Theorem

Transformations (14hrs)

Transform and describe rotations.

 Transform and describe reflections, given a reflection line and equations of lines.

 Transform and describe enlargements with positive scale factors.

 Transform and describe translations.

Probability (14hrs)

Place events on a probability scale

Create sample spaces

Carry out experiments & analyse results

Calculate missing probability

Interpreting data(12hrs)

Draw & interpret a stem & leaf diagram, scatter graph, bar chart, pie chart.
Collect record and group data.
Calculate averages from a list, a frequency table and grouped data.

 Circles     (10hrs)

Identify and apply circle definitions and properties.
Area & circumference of a circle.

Area and perimeter of compound shapes with circles.

 

Proportion 2 (10hrs)

Direct and inverse proportion (inc graphically)

Percentage change (inc compound interest)

Solving equations & inequalities (14 hrs)

Linear equation (brackets, roots, fractions) inequalities

Constructing equations  & inequalities

 

 

Plotting & sketching graphs (14 hrs)

Coordinates-four quadrants.
Substitute into formulas with 2 variables.
Linear graphs (y=mx + c)
Use conversion and other similar graphs.
Negative and positive gradient.

 

Recap  units (24hrs)

Transition to GCSE

Skills

 

 

AO3: Begin to solve more complex problems by breaking them into smaller steps or tasks, choosing and using efficient techniques for calculation, algebraic manipulation.

AO1: investigate in a range of context, explaining &justifying methods.

AO2: show understanding of situations by describing them mathematically.
AO1: Begin to make general statements, based on evidence produced, and explain reasoning.

AO2: begin to explain reasons for selection and use of diagrams.

AO1: draw simple conclusions & explain reasoning; suggest extensions to problems; conjecture and generalise

 

 

AO3: develop strategies for solving problems and use these strategies in applying mathematics to practical contexts.

 

AO2: Interpret, discuss & synthesise information.

AO3: Begin to solve more complex problems by breaking them into smaller steps or tasks, choosing and using efficient techniques for calculation, algebraic manipulation.

 

Assessment

 

AO1: Explain reasoning and justifying method for selecting specific solutions to solve shape properties.

AO3: Applying algebra to practical contexts including formula.

 

 

AO2: understanding of transformations by describing them mathematically.

AO1: generalise theorems and apply it to solve real life problems

 

AO2: make inferences by interpreting diagrams, tables and graphs accurately.

 

AO2: Investigate and analyse results from probability

AO3: Begin to solve substantial problem involving proportion.

 

 

 

AO2: interpret synthesise information from linear graphs.

 

AO3: construct and solve more complex linear equations and inequalities by using efficient algebraic manipulation.

End of year assessment of all the skills taught.

Year 9

Topic

 

Number properties 1

Multiply, division, addition & subtraction

Order of operation

Reciprocal

Geometry and measures

Angles between parallel lines.

Number properties 2

Identify & use power of 10 power of 10

Powers & roots

Algebra 1

Substitution in formulae:

Perimeter & area of shapes, volume of standard prism, speed & density, unit pricing

Fractions decimals percentages (FPD)

Convert between (FPD)

Use FPD to compare proportions

Fraction & Percentage an amount

Percentage Change

Approximation

Rounding to a given decimal place & significant figures

Estimation

Algebra 2

Simplifying equations

Expansion

Factorisation (inc quadratics)

Linear equation

Collecting & interpreting data

Construct & interpret: frequency tables, two-way tables, venn diagrams, series time graphs.

Stratified sample

Sequences graphs

Sequences: nth term (inc quadratics)

Linear graphs

Proportion 1

Ratio (equivalent, of a quantity)

Understand how to compare proportions when given a ratio of two quantities.

Ratio and scale

Scale drawing 

Interpret map/model scale

Bearing

Shape properties

Properties of regular polygons

Congruency & similarity

Construct triangles

Algebra 3

Change the subject of a formula

Algebraic proof

Function machines

Transformations

Translation

Reflection

Enlargement

Rotation

Describe transformation

Probability

Carry out different experiments & analyse results

Calculate missing probability

 Triangles & constructions

Pythagoras Theorem

Trigonometry

Elevation & plan view

Congruent triangles

Interpreting data

Draw and interpret pie charts, frequency diagrams, scatter diagrams, cumulative frequency, stem and leaf and box and whisker plots.

Calculate the average from grouped data.

Calculate the interquartile range from a list of data or a cumulative frequency curve.

 Circles

Label parts of circle

Area & circumference

Area  & perimeter of compound

Circle theorems

Proportion 2

Direct & inverse proportion (inc graphically and when given a formula)

Percentage change

Compound interest

Solving equations & inequalities

Linear equation (algebraically & graphically)

Quadratic equation (graphically)

Inequality (algebraically & graphically)

Plotting & sketching graphs

Draw straight line graph

Draw quadratic, cubic, reciprocal, & exponential functions

Use conversion and other similar graphs.

Skills

 

 

AO1: make general statements, based on evidence produced and explain reasoning.

 

AO3: identify the necessary information  to carry through tasks and solve mathematical problems and check results and consider whether they are sensible

AO2: use & make accurate mathematical diagrams, tables and graphs. Present and interpret solutions/ findings in the context of the problem-task.

AO3: solve more complex problems by breaking them into smaller steps or tasks, choosing and using efficient techniques for calculation, algebraic manipulation

AO1: present a concise reasoned argument, using symbols, diagrams, graphs and related explanatory texts

AO2: constructs chains of reasoning to achieve a given result.

AO3: solve substantial problems by breaking them into simpler tasks, using a range of efficient techniques, methods & resources including ICT.

AO3: Begin to solve more complex problems by breaking them into smaller steps or tasks, choosing and using efficient techniques for calculation, algebraic manipulation.

AO1: show insight into mathematical structure by using patter & symmetry to justify generalisations, arguments or solutions

AO1: accurately carry out multi-step procedures requiring using correct mathematical processes.

AO1: make more substantial general statements, based on evidence produced, and explain reasoning.

 

AO2: interpreting results back into real world context.

AO2: represent problems and synthesise information in algebraic, geometric or graphical form; move from one form of presentation to another to gain a different perspective on the problem/task

AO3: evaluate solutions to identify how they may have been affected by assumptions made.

Assessment

 

AO1: apply algebra to solve and evaluate unknown variables from real life contexts.

 

AO3: problem solving with number properties geometry & measures.

 

AO2: make, interpret & communicate findings from any given data set.

 

AO3: Applying ratios & proportion to practical contexts.

AO2:Interpreting maps

AO3: construct and solve more complex linear equations and inequalities by using efficient algebraic manipulation.

AO: Investigate and analyse results  from  probability

AO1: generalise theorems and apply it to solve real life problems

 

 

AO3: Solve and evaluate substantial problems involving proportion and graphs.

 

AO2: construct and synthesise information algebraically and graphically.

Year 10

Topic

 

Number properties 1 (revision - 7hrs)

4 operations with integers, decimals, fractions.

Reciprocals - x by 0.2 is the same as divide by 5.

BIDMAS

Order FDP and surds.

Finding a fraction half way between two others.

Geo &Measures  (5hrs)

Angles in polygons.

Properties of quadrilaterals.

Convert between area and volume measures.

Number properties 2  (5hrs)

Indices

Standard form

Recurring decimals

Surds

Algebra 1  (7hrs)

Substitution

Perimeter, area & volume

Compound measures

FDP  (5hrs)

FDP conversions

FDP of amount

Percentage change

Approximation (5hrs)

Rounding & estimation

Using a calculator

Upper and lower bounds

Specify error intervals

Algebra 2 (5hrs)

Simplify

Factorise (including quadratic)

Solve equations

Collecting & interpreting data (4hrs)

Set Theory & Venn diagrams

Sampling data

Sequences graphs (5hrs)

Nth term (Lin + Quad).

Link sequences & graphs.

Recognise different types of sequences.

Proportion 1 (5hrs)

Simplify ratios

Divide into a ratio

Ratio in map scales

Compare proportions given a ratio.

Direct and inverse proportion.

Ratio and Scale (5hrs)

Bearings

Similar shapes (L,A & V)

Shape properties (4hrs)

Construct triangles

Congruency

Prove properties of a triangle using Pythagoras.

Algebra 3 (5hrs)

Rearranging equations

Function machines

Inverse functions

Composite functions

Transformations (5hrs)

Review 4 transformations

Combine transformations

Vector addition using column vectors

Multiply a vector by a scalar.

 

 

 

Probability (5hrs)

Conditional probability

Tree diagrams

Triangles & construction (5hrs)

Pythagoras

Trigonometry

Recall values for trig ratios at specific degrees.

Graphs of trig functions

Interpreting data (4hrs)

Always, sometimes and never true investigations on data.

 

Circles (5hrs)

Area and circumference of a circle.

Arc length & sector area.

Circle theorems.

Proportion 2 (5hrs)

Graphs of direct and inverse proportion.

Solve direct and inverse proportion questions numerically, algebraically and graphically.

Iterative method.

Real life graphs.

Solving equations & inequalities (5hrs)

Solve quadratics including completing the square.

Solve equations using iterations.

Construct various graphs.

Simultaneous equations.

Plotting and sketching graphs (5hrs)

Transformations of graphs

Area between a curve

Speed, distance time graphs.

Turning point of a quadratic graph.

Revision

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Skills

 

 

AO1: identifying significant variables, constraints within given problem.

AO1: accurately carry out multi-step procedures requiring using correct mathematical processes.

 

AO3: solve increasingly demanding problems & evaluate solutions; explore connections in mathematics across a range of context.

AO1: accurately carry out multi-step procedures requiring using correct mathematical processes.

 

AO2: interpreting results back into real world context.

AO3: simplify a given context & making assumptions by recognising structures in & within the contexts provided.

AO2: assess the validity of an argument & critically evaluate a given way presenting information.

AO1: Appreciate the difference between mathematical explanation & experimental evidence

AO1: accurately carry out multi-step procedures requiring using correct mathematical processes.

AO2: evaluate the rationality of a mathematical solution in the context & explain why a mathematical result ort conclusion does, or does not, make sense in the context.

 

Assessment

 

AO1: apply algebra to solve and evaluate unknown variables from real life contexts

 

 

 

 

 

 

 

AO3: solve and evaluate increasingly demanding problems involving algebraic manipulation, direct & inverse proportion.

 

 

 

AO3: construct and solve more complex linear equations and inequalities by using efficient algebraic manipulation.

 

 

AO1: Apply the difference between mathematical explanation & experimental evidence with interpreting data including probability.

AO1: Use accurate notation to solve substantial problems including algebraic manipulation, graphs and shapes.

 

AO2: Numerically, Algebraically and graphically evaluate solutions 

 

Year11

Topic

 

Revision

Based on personalised learning checklist and assessment data. Addressing weaknesses by class.

Revision

Based on personalised learning checklist and assessment data. Addressing weaknesses by class.

Revision

Based on personalised learning checklist and assessment data. Addressing weaknesses by class.

Revision

Based on personalised learning checklist and assessment data. Addressing weaknesses by class.

Revision

Based on personalised learning checklist and assessment data. Addressing weaknesses by class.

Revision

EXAM