Maths

Back

Mathematics includes the study of number, geometry, algebra and data handling whilst also developing thinking and problem solving skills.  In addition to helping you develop good numeracy skills, studying mathematics, even those topics not immediately applicable to real-world situations, will help you develop your ability to think around a problem and find a creative solution. 

Year 7 Term 1 Term 1.5 Term 2
Key Topic Number Shape, Space and Measure Fractions
Learning + Development
• Place value
• The four operations
•Perimeter, area and units
• Angles and 2D shapes
• Fraction Calculations
• Fractions, Decimals and Percentages
Previous Knowledge + Skills
• Read, write, order and compare numbers up to 10,000,000 and determine the value of each digit.
• Identify factors, multiples and prime numbers.
• Round to nearest whole, 10, 100 etc.
• Recall number bonds to 10, 20, 100 etc.
• Recall multiplication facts and their associated division facts.
• Use a written method to perform the four operations: +, -, x, ÷.
• Use negative numbers in context.
• Use estimation to check answers.
• Convert between standard units of length, mass, volume and time.
• Calculate areas of rectangles, parallelograms, triangles and compound shapes.
• Calculate volumes of cubes and cuboids.
• Recognise and draw 2D and 3D shapes.
• Find unknown angles in any triangles, quadrilaterals, and regular polygons
• Illustrate and name parts of circles, including radius, diameter and circumference
• Calculate missing angles on straight lines and in triangles
• Simplify fractions.
• Compare and order fractions including >1
• Add and subtract fractions with different denominators and mixed numbers.
• Multiply simple pairs of fractions.
• Divide a fraction by a whole number.
 
• Find equivalent decimals by dividing numerator by denominator.
• Recall and use equivalences between simple fractions, decimals and percentages.
Skills Taught:
• Order and compare decimals using notation: < > = 
• Learn the value of digits in decimal place value.
• Multiply and divide by powers of 10.
• Round to decimal places and significant figures.
• Convert between ordinary numbers and standard form.
• Find the HCF and LCM of a set of numbers and solve worded problems
• Express a number in prime factor form and use this to find the HCF and LCM
• Use a calculator accurately in appropriate situations.
• Use knowledge of the order of operations to carry out calculations including using negative numbers.
• Compare and order measures of length including when the units are different.
• Estimate measurements from real life situations.
• Find area of shapes including rectangles, triangles, parallelograms, trapeziums and circles 
• Calculate the circumference and area of a circle
• Recognise, define and accurately draw and measure acute, obtuse and reflex angles.
• Find unknown angles in triangles, special types of triangles and quadrilaterals.
• Name and identify the symmetries of all 2D shapes.
• Calculate angles using standard angle facts.
• Find unknown interior angles in any regular or irregular polygon
• Add and subtract with any fraction or mixed number.
• Convert between mixed numbers and improper fractions.
• Solve problems involving fraction calculations.
• Find equivalent fractions, decimals and percentages and compare them.
• Express one quantity as a fraction or percentage of another.
• Find percentages and fractions of amounts and perform increases/decreases.
• Find the percentage change when an amount has been increased/decreased.
• Calculate simple interest.
Links to the School Curriculum: Any topic involving number e.g. rounding population figures in geography. Converting between units e.g. in technology subjects. Amending recipes in food technology.
Independent Activities: Calculate with money e.g. change in a shop, estimate the cost of a bill.
Measure objects / spaces e.g. find the perimeter of your room / garden.
 
Convert your height from cm to inches, your weight from kg and to stones/lbs
 Calculate discounts in shops.
Web Links:

Corbett Maths Worksheets:

https://corbettmaths.com/contents/

Corbett Maths Worksheets:

https://corbettmaths.com/contents/

Corbett Maths Worksheets:

https://corbettmaths.com/contents/

 

Year 7 Term 2.5 Term 3 Term 3.5
Key Topic: Algebra Further Number Handling Data
Learning + Development
• Algebra
• Coordinates and Graphs
• Order of Operations
• Ratio and Proportion
• Averages
•Displaying Data
Previous Knowledge + Skills
• Use simple formulae
• Generate and describe linear number sequences
• Express missing number problems algebraically
• Find pairs of numbers that satisfy an equation with two unknowns
• Enumerate possibilities of combinations of two variables.
 
• Describe positions on the full coordinate grid (all four quadrants)
• Draw and translate simple shapes on the coordinate plane, and reflect them in the axes.
• Some knowledge of using order of operations (BIDMAS) to carry out multi-step calculations.
 
• Solve problems involving the relative sizes of two quantities 
• Solve problems involving the calculation of percentages
• use percentages for comparison
• Solve problems with similar shapes using scale factors.
• Solve problems involving unequal sharing and grouping using knowledge of fractions and multiples.
• Calculate and interpret the mean as an average.
• Interpret and construct pie charts and line graphs and use these to solve problems.
Skills Taught:
• Simplify algebraic expressions 
• Substitute positive integers into simple expressions
• Find the nth term of a linear sequence
• Expand and factorise single brackets
• Recognise and continue recursive (Fibonacci-type) sequences
 
• Solve simple problems on a coordinate grid
• Find the midpoint of two points and the endpoint when given the midpoint and one endpoint
• Identify the equations of horizontal and vertical lines
• Use a table of values to plot graphs of simple linear functions
• Describe the equations of straight lines using the form y = mx + c.
• Apply equal priority laws to calculations  (+/- and x/÷)
• Apply BIDMAS to calculations 
• Put the brackets into a calculation to make it true
• Find integer powers and roots
• Write equivalent ratios and reduce a ratio to its simplest form
• Divide into a ratio when given one share or the total
• Find the cost of items by using the unitary method
• Identify the relationship between ratios and fractions
• Solve simple direct proportion problems
• Identify the relationship between ratios and fractions
• Solve simple inverse proportion problems
• Find the mode, median and range from a list of data
• Calculate the mean from a list of data
• Identify the appropriate average to use in a given situation
•
• Construct and interpret frequency tables, 2-way tables, stem and leaf diagrams, bar charts and pictograms.
• Identify misleading chart features
• Complete and interpret scatter graphs, including correlation and a line of best fit
• Identify the appropriate average to use in a given situation
• Find the data based on information given on the averages and range
• Adjust the mean when data is added or taken away from the set
Links to the School Curriculum: Coordinate grids in geography. Amending recipes in food technology. Graphs and charts may occur in a variety of subjects such as history.
Independent Activities: Solve puzzles e.g. in newspapers or puzzle books, where algebra is frequently used implicitly. Cook at home and adjust the quantities in a recipe to make the right amount for the people eating. Look at graphs and charts in newspapers or online and decide if they are misleading.
Web Links:

Corbett Maths Worksheets:

https://corbettmaths.com/contents/

Corbett Maths Worksheets:

https://corbettmaths.com/contents/

Corbett Maths Worksheets:

https://corbettmaths.com/contents/
Year 8 Term 1 Term 1.5 Term 2
Learning + Development
• Number properties
• Positive and negative numbers
• Rounding and estimation
• Length and area
• 3D shapes
• Compound measures
• Calculations with fractions
• Probability
Previous Knowledge + Skills
  • Y7 number work
  • Y7 work on area
  • Y7 fractions work
Skills Taught:
  • Calculating with integers, powers, roots
  • Index Laws for multiplication and division
  • Prime factor decomposition
  • Finding HCF and LCM
  • Order +ive and -ive numbers
  • Calculate with negative numbers.
  • Rounding to the nearest integer, 10, 100 etc. and to decimal places and s.f.
  • Estimate roots
  • Estimate Calculations
  • Error intervals
  • Extend knowledge of area and perimeter.
  • Reverse area questions to find missing lengths
  • Area & Circumference of a circle leading to work with sectors.
  • Recognise and complete the nets of 3D shapes
  • Identify the properties of 3D shapes
  • Construct and interpret plans and elevations of 3D shapes
  • Calculate the volume and surface area of prisms
  • Convert between units of area and volume
  • Read speed-time graphs and distance-time graphs.
  • Calculate speed, distance and time
  • Calculate density, mass and volume
  • Calculate pressure, force and area
  • Convert compound units (e.g. m/s to km/h)
  • Calculate speed, distance and time where units need converting
  • Simplify, compare and order fractions
  • Convert between a mixed number and an improper fraction
  • Calculate with fractions and mixed numbers
  • Recognise and find reciprocals and understand a reciprocal as a multiplicative inverse
  • Use terms likely, equally likely, fair, unfair, certain when describing chance or likelihood
  • Understand and use the probability scale from 0 to 1
  • Place theoretical probabilities accurately on the probability scale
  • Find probabilities based on equally likely outcomes in simple context
  • Apply the property that the probabilities of mutually exclusive outcomes sum to 1
  • Systematically list outcomes
  • Complete sample spaces for and calculate probabilities from these
  • Read and complete basic Venn diagrams
  • Find probabilities from a Venn diagram
  • Calculate expected outcomes of future experiments by applying relative frequency
  • Find the probability of A and B occurring and the probability of A or B occurring
Links to the School Curriculum: Any topic involving number e.g. rounding population figures in geography. Converting between units e.g. in technology subjects. Amending recipes in food technology.
Independent Activities: Calculate with money e.g. change in a shop, estimate the cost of a bill.
Measure objects / spaces e.g. find the perimeter of your room / garden.
 
Convert your height from cm to inches, your weight from kg and to stones/lbs.
 Calculate discounts in shops.
Web Links:

Corbett Maths Worksheets:

https://corbettmaths.com/contents/

Corbett Maths Worksheets:

https://corbettmaths.com/contents/

Corbett Maths Worksheets:

https://corbettmaths.com/contents/
Year 8 Term 2.5 Term 3 Term 3.5
Learning + Development
  • Algebraic manipulation
  • Solving equations
  • Angles
  • Transformations
  • Statistics
Previous Knowledge + Skills
  • Y7 Algebra work
  • Y7 work on angles
  • Knowledge of coordinates and equations of lines.
  • Y7 work on data handling
Skills Taught:
  • Identify a term, expression, equation, formula and identity
  • Substitute positive and negative integers into expressions and formulae
  • Form simple expressions
  • Simplify expressions
  • Expand the product of two binomials
  • Factorise a quadratic expression of the form x² + bx + c, including using the difference of two squares
  • Use algebra to construct arguments and prove identities
  • Solve linear equations, starting with one step and building to unknowns on both sides including brackets.
  • Construct and solve simple linear equations with integer coefficients and unknown on one side
  • Check the solution to an equation by using substitution
  • Solve linear inequalities
  • Represent an inequality on a number line
  • List the integers that satisfy an inequality
  • Accurately draw and measure angles
  • Identify parallel and perpendicular lines
  • Calculate missing angles using the standard angle facts
  • Find missing angles in special types of triangles
  • Use alternate, corresponding and co-interior angles to find a missing angle on parallel lines
  • Find interior and exterior angles of any regular polygon
  • Transform 2D shapes using reflections, rotations, translations and enlargements.
  • Identify which basic transformation has occurred
  • Find a missing side length in two shapes that are similar
  • Find the mode, range, median and mean from a list of data, from frequency tables and from stem and leaf diagrams.
  • Read, complete and interpret bar charts, pie charts and scatter graphs
  • Understand interpolation/extrapolation on scatter graphs.
  • Adjust the mean when data is added or taken away from the set
  • Find the modal class, class in which the median lies and estimated mean from a grouped frequency table
  • Compare distributions of grouped, discrete or continuous data             using mean, mode, median and range
Links to the School Curriculum: Manipulating formulae in science Trajectory of projectiles in PE Data handling in Geography
Independent Activities:  
Draw a complex picture and reflect it in a mirror.

Look at charts, graphs and statistics in the news.

Listen to More or Less podcast on BBC sounds.
Web Links:

Corbett Maths Worksheets:

https://corbettmaths.com/contents/

Corbett Maths Worksheets:

https://corbettmaths.com/contents/

Corbett Maths Worksheets:

https://corbettmaths.com/contents/
Year 9 Term 1 Term 1.5 Term 2
Key Topic: Number Shape, Space & Measure Shapes
Learning + Development
  • Arithmetic
  • Powers & Roots
  • Fractions Decimals Percentages
  • Algebraic Manipulation
  • Co-ordinates and graphs 
  • 2D shapes
  • 3D shapes
Previous Knowledge + Skills
  • Add and subtract, including decimals
  • Multiply integers & decimals
  • Multiply and divide by powers of 10
  • Divide integers and decimals by a single digit & a two-digit integer
  • Recognise square and cube numbers
  • •Use the order of operations to solve  calculations    
  • Add and subtract fractions with different denominators    
  •       Find equivalent fractions, decimals and percentages

 
  • Plot and read x and y coordinates in all four quadrants.
  • Solve simple problems on a coordinate grid
  • Simplify expressions by collecting like terms
  • Substitute positive integers into expressions and formulae
  • Multiply a single term over a single bracket
  • Take out common factors to factorise
  • Symmetries of all 2D shapes and name them
  • Recognise and classify quadrilaterals from their properties
  • Sum of angles at a point, on a straight line and in a triangle
  • Find the area of triangles
  • Name and identify properties of 3D shapes 
  • Calculate the volume of a shape by counting cubes
  • Calculate the volume of a cuboid

 
Skills Taught:
  • Find integer powers and roots
  • Simplify an expression using repeated multiplication
  • Use the index laws for multiplication and division
  • Apply BIDMAS to solve a calculation including powers and putting the brackets into a calculation to make it true
  • Convert between a mixed number and an improper fraction
  • Solve problems including the addition and subtraction of fractions
  • Multiply & divide fractions and integers
  • Solve problems including the multiplication and division of fractions
  • Compare fractions, decimals and percentages
  • Find the midpoint of two points and the endpoint when given the midpoint and one endpoint
  • Identify the equations of horizontal and vertical lines
  • Plot coordinates from a rule to generate a straight line
  • Use a table of values to plot graphs of simple linear functions
  • Identify the y intercept or the gradient of a linear graph from the equation and the graph
  • Form expressions
  • Substitute negative integers into expressions
  • Simplify expressions involving multiplication and division

 
  • Properties of quadrilaterals to find missing angles
  • Find unknown angles in a triangle and quadrilateral
  • Find the missing length of a shape when given the area
  • Find the area of trapeziums
  • Complete the nets and interpret elevations of 3D shapes
  • Calculate the volume and surface area of cuboids and solve problems involving these
  • Calculate the surface area of cubes and cuboids
  • Calculate the volume of prisms
Links to the School Curriculum: Number work can occur in a variety of subjects Coordinates on maps in Geography Area and volume in D&T
Independent Activities: Calculate with money e.g. change in a shop, estimate the cost of a bill.
Measure objects / spaces e.g. find the perimeter of your room / garden.
 
.
 Calculate discounts in shops.
Web Links:

Corbett Maths Worksheets:

https://corbettmaths.com/contents/

Corbett Maths Worksheets:

https://corbettmaths.com/contents/

Corbett Maths Worksheets:

https://corbettmaths.com/contents/

Year 10 - Foundation

 Term 1 Term 1.5 Term 2
Key Topic:
  • Number
  • Shape
  • Geometry
Learning + Development
  • Rounding and error intervals
  • Percentages
  • Ratio and Proportion
  • Perimeter and Area
  • Volume and Surface Area
  • Angles and Bearings
  • Transformations
Previous Knowledge + Skills
  • Find an integer percentage of a quantity
  • Perform a percentage increase or decrease
  • Find the percentage change
  • Find the cost of items by using the unitary method
  • Solve best value problems
  • Use proportion to adapt a recipe and use this to solve problems
  • Solve direct proportion problems
  • Solve simple inverse proportion problems
  •  
  • Find the area of triangles
  • Find the missing length of a shape when given the area
  • Find the area of trapeziums
  • Calculate the volume of a shape by counting cubes
  • Calculate the volume of a cuboid
  • Calculate the volume and surface area of cuboids and solve problems involving these
  • Calculate the surface area of cubes and cuboids
  • Calculate the volume of prisms
  • Correctly use geometrical terms and notation
  • Accurately construct triangles, perpendicular and angle bisectors
  • Use properties of quadrilaterals to find missing angles
  • Find missing angles in triangles, in quadrilaterals, at a point and on straight lines using angle and side properties
Skills Taught:
  • Round to a given number of significant figures
  • Understand the concept of bounds when rounding
  • Use rounding to significant figures to estimate calculations
  • Write error intervals
  •  Find a percentage of a quantity
  •  Perform a percentage increase or decrease
  •  Solve original value problems
  •  Simple interest
  •  Compound interest
  • Reduce a ratio to its simplest form including with different units
  • Divide into a ratio when given the share or total
  • Ratios and fractions
  • Find the cost of items by using the unitary method
  • Best value problems
  • Recipes
  • Direct proportion
  • Inverse proportion
  • Find areas and perimeters of 2-D shapes, including compound shapes and circles.
  • Calculate the area of sectors and lengths of arcs.
  •  Calculate volumes and surface areas of prisms including cylinders.
  • •Calculate volumes and surface areas of pyramids, cones and spheres.
  • Find missing angles in simple situations
  • Find unknown interior and exterior angles in any polygon
  • Use alternate, corresponding and co-interior angles to find a missing angles
  • Find the number of sides of a regular polygon using its interior or exterior angle size
  • Construct and measure bearings on diagrams
  • Find the bearing from B to A, when given the bearing of A to B
  • Transform 2D shapes using translations, reflections, rotations and enlargements (including fractional scale factors).
  • Identify and describe which transformation has occurred
  • Add and subtract vectors, and multiply vectors by a scalar
  • Find a missing side length in two shapes that are similar
Links to the School Curriculum:

Percentage change in business studies / economics.

Ratio calculations in recipes (Food Technology)		 Planning use of materials in D&T Map work in Geography
Independent Activities: Calculate discounts when shopping and get the best deal

Engage in DIY or craft where area is needed e.g. working out how much paint you need.Calculate discounts in shops.

 Describe a holiday route using bearings
Web Links:

Corbett Maths Worksheets:

https://corbettmaths.com/contents/

Corbett Maths Worksheets:

https://corbettmaths.com/contents/

Corbett Maths Worksheets:

https://corbettmaths.com/contents/

Year 10 - Foundation

 Term 2.5 Term 3 Term 3.5
Learning + Development
  • Drawing Graphs
  • Straight Line Graphs
  • Compound Measures
  • Probability
  • Averages and the range
Previous Knowledge + Skills
  • Plot and read x and y coordinates in all four quadrants.
  • Find the midpoint of two points
  • Identify the equations of horizontal and vertical lines
  • Use a table of values to plot graphs of simple linear functions
  • Identify the y-intercept of a linear graph from the equation and the graph
  • Interpret the gradient of a linear graph and identify it from the equation

 
  • Perform simple speed/distance/time calculations.
  • Read values from graphs
  • Understand basic probability terminology (unlikely etc.) and link this to a number line.
  • Construct and read Venn diagrams.
  • Add and multiply fractions.
  • Calculate averages from a list of data
Skills Taught:
  • Plot graphs of simple quadratic, cubic, reciprocal and exponential functions
  • Identify the equations of horizontal and vertical lines
  • Use a table of values to plot graphs of simple linear functions
  • Use the form y = mx + c to interpret straight line graphs and identify parallel lines
  • Identify the y-intercept and gradient of a linear graph
  • Read and interpret real life linear graphs (e.g. Conversion graphs)
  • Find the equation of a line when given the gradient (or parallel line) and a point, or when given two points
  • Find the midpoint of two points and the endpoint when given the midpoint and one endpoint
  • Read speed-time graphs and distance-time graphs
  • Calculate with compound units
  • Convert between e.g. m/s and km/h
  • Solve speed, distance and time problems in a two part journey
  • Solve density mass and volume problems with mixing materials
  • Find probabilities based on equally likely outcomes
  • Apply the property that the probabilities of mutually exclusive outcomes sum to 1
  • Complete sample spaces
  • Complete and interpret Venn diagrams
  • Find the probability of A and B occurring and the probability of A or B occurring
  • Calculate expected outcomes by applying relative frequency
  • Complete probability tree diagrams and find probabilities of combined events 
  • Find the mode, mean, median and range from a list of data, from frequency tables and from stem and leaf diagrams
  • Identify the appropriate average to use in a given situation
  • Find the data based on information given on the averages and range
  • Adjust the mean when data is added or taken away from the set
  • Find the modal class, class in which the median lies and estimated mean from a grouped frequency table
  • Compare distributions of grouped, discrete or continuous data using mean, mode, median and range
Links to the School Curriculum:

Handling linear data in science

 Speed / distance / time calculations can relate to PE  
Independent Activities: Find straight line graphs in the news and apply concepts learned in lessons to them.

Work out the time needed for a journey.

Calculate the probability of winning a raffle / lottery.

Analyse statistics presented in the news and see if they are being presented fairly.

Listen to ‘More or Less’ podcast on BBC sounds
Web Links:

Corbett Maths Worksheets:

https://corbettmaths.com/contents/

Corbett Maths Worksheets:

https://corbettmaths.com/contents/

Corbett Maths Worksheets:

https://corbettmaths.com/contents/

Year 10 - Higher

 Term 1 Term 1.5 Term 2
Key Topic:
  • Surds and indices
  • Geometry of circles
  • Shape and Space
Learning + Development
  • Surds and indices
  • Drawing graphs and graphing inequalities
  • Solving quadratics
  • Arcs and sectors
  • Circle Theorems
  • Similarity and congruence
  • Complex transformations of shapes
  • Conditional probability
Previous Knowledge + Skills
  • Find the equation of a linear graph (from graph)
  • Find the equation of a line when given the gradient and a point
  • Use y =mx + c to identify parallel lines

  •  

  • Expanding double brackets
  • Factorise a quadratic expression
  • Simplify expressions (products, powers, index laws)
  • Area or perimeter of compound shapes, including parts of circles
  • Recognise and name the parts of a circle
  • Transform shape using a column vector
  • Transform 2D shapes by reflecting in x=a or y=b
  • Transform 2D shapes by rotating them about a point
  • Enlargement using integer scale factors
  • Probabilities from a two way table, including conditional probabilities
Skills Taught:
  • Fractional indices
  • Negative indices
  • Simplify surds
  • Expand double brackets with surds
  • Rationalise the denominator
  • nth term of geometric sequences
  • Equation of a line through two given points
  • Identify perpendicular lines
  • Plot graphs of quadratic, cubic, simple reciprocal and exponential functions
  • Graphing regions using inequalities
  • Factorise and solve quadratics
  • Solve quadratic equations using the quadratic formula, difference of two squares or completing the square
  • Solve quadratic inequalities in one variable
  • Identify the radius/ diameter of a circle when given the circumference or area
  • Area of sectors
  • Length of an arc
  • Circle theorems
  • Use the circle theorems to find a missing angle
  • Congruence criteria for triangles (SSS, SAS, ASA, RHS)
  • Prove two triangles are congruent
  • Find a missing side length in two shapes that are similar
  • Lengths, areas and volumes in similar figures
  • Prove two triangles are similar
  • Identify and describe which transformation has occurred
  • Enlargements using fractional or negative scale factors
  • Combinations of transformations on a coordinate grid
  • Venn diagrams, including when the intersection needs to be calculated and Conditional probabilities
  • Probability tree diagrams with replacement and without replacement 
  • Product rule for counting.
Links to the School Curriculum:

Plotting and creating graphs as well as reading from graphs in science and geography.

 DT lessons.  
Independent Activities:  

Calculate the area of a pizza slice.

  
Web Links:

Corbett Maths Worksheets:

https://corbettmaths.com/contents/

Corbett Maths Worksheets:

https://corbettmaths.com/contents/

Corbett Maths Worksheets:

https://corbettmaths.com/contents/

Year 10 - Higher

 Term 2.5 Term 3 Term 3.5
Key Topic:
  • Shape and Space
  • Algebra
  • Handling Data
Learning + Development
  • Names of 3D shapes
  • Volume of prisms including cylinder
  • Surface area of prisms including cylinders
  • Pythagoras
  • Calculate speed, distance and time
  • Density mass and volume problems
  • Pressure, force and area
  • Names and properties of circles
  • Linear simultaneous equations
  • Stem and leaf diagrams
  • Averages
Previous Knowledge + Skills
  • Volume of a pyramid, sphere or hemisphere
  • Volume of a cone or frustum involving Pythagoras or similarity
  • Volume of a composite solids
  • Surface area of a cone involving Pythagoras
  • Upper and lower bounds in simple problems
  • Convert compound units (e.g. m/s to km/h)
  • Problem solving questions including the different compound measures, including density mass and volume problems involving mixing materials
  • Equation of a circle with centre at the origin
  • Calculate if a given point lies inside, on or outside a circle
  • Problems using the equation of a circle
  • Equation of a tangent to a circle at a given point

  •  · Form and solve two  simultaneous equations (containing linear, quadratic)

    Solve simultaneous equations graphically
  • Quartiles and interquartile range
  • Apply statistics to describe a population, capture and recapture problem

    (from date or stem and leaf diagrams)

  • Construct, complete, interpret and compare box plots.
  • Construct and interpret a cumulative frequency diagram
  • Construct and interpret a histogram with unequal class widths (i.e finding the frequency)
Skills Taught:
  • Fractional indices
  • Negative indices
  • Simplify surds
  • Expand double brackets with surds
  • Rationalise the denominator
  • nth term of geometric sequences
  • Equation of a line through two given points
  • Identify perpendicular lines
  • Plot graphs of quadratic, cubic, simple reciprocal and exponential functions
  • Graphing regions using inequalities
  • Factorise and solve quadratics
  • Solve quadratic equations using the quadratic formula, difference of two squares or completing the square
  • Solve quadratic inequalities in one variable
  • Identify the radius/ diameter of a circle when given the circumference or area
  • Area of sectors
  • Length of an arc
  • Circle theorems
  • Use the circle theorems to find a missing angle
  • Congruence criteria for triangles (SSS, SAS, ASA, RHS)
  • Prove two triangles are congruent
  • Find a missing side length in two shapes that are similar
  • Lengths, areas and volumes in similar figures
  • Prove two triangles are similar
  • Identify and describe which transformation has occurred
  • Enlargements using fractional or negative scale factors
  • Combinations of transformations on a coordinate grid
  • Venn diagrams, including when the intersection needs to be calculated and Conditional probabilities
  • Probability tree diagrams with replacement and without replacement 
  • Product rule for counting.
Links to the School Curriculum:
  • Science lesson (physics) where compound measures need to be found – e.g Speed distance time
  
  • Averages are used in geography to analyse data trends.
  • Presenting data
Independent Activities:  

 

 Look at charts and graphs in the news and check that the data are being presented fairly
Web Links:

Corbett Maths Worksheets:

https://corbettmaths.com/contents/

Corbett Maths Worksheets:

https://corbettmaths.com/contents/

Corbett Maths Worksheets:

https://corbettmaths.com/contents/

Year 11 - Foundation

 Term 1 Term 1.5 Term 2 - 3.5
Learning + Development
  • Multiples and factors
  • Algebraic manipulation
  • Solving equations
  • Indices and standard form
  • Area, perimeter and right-angled triangles.
  • Revision and practice papers
Skills Taught:
  • Recognise, list and define prime numbers, multiples and factors.
  • Use prime factor form to find HCF and LCM
  • Solve worded problems involving HCF/LCM
  • Use function machines to find the output, input or function
  • Substitute +ive and -ive integers into expressions and formula
  • Simplify expressions by collecting like terms, including powers
  • Simplify expressions involving multiplication and division
  • Expand and factorise with single brackets
  • Expand double brackets
  • Factorise quadratic expressions including difference of 2 squares
  • Change the subject of a formula
  • Solve linear equations of all types
  • Set up and solve equations to solve
  • Calculate using integer powers and roots
  • Use order of operations (BIDMAS)
  • Put the brackets into a calculation to make it true
  • Write a number in standard form
  • Add, subtract, multiply and divide with numbers written in standard form

  •  

  • Solve functional problems involving area and perimeter compound shapes
  • Use Pythagoras's theorem to find a missing length
  • Use Pythagoras' theorem to solve a problem involving area or perimeter
  • Use trigonometric ratios to find a missing lengths and angles. 
 
Links to the School Curriculum:

 

 Numbers in standard form in science and geography.  
Web Links:

Corbett Maths Worksheets:

https://corbettmaths.com/contents/

Corbett Maths Worksheets:

https://corbettmaths.com/contents/

Corbett Maths Worksheets:

https://corbettmaths.com/contents/

 

Year 11 - Higher

 Term 1 Term 1.5 Term 2 - 3.5
Learning + Development
  • Functions and Iteration
  • Transforming Graphs
  • Advanced Trigonometry
  • Vectors
  • Real life graphs and rates of change
  • Algebraic Proof
  • Revision and practice papers
Previous Knowledge and Skills:
  • Algebraic substitution
  • Knowledge of common graph shapes e.g. quadratics
  • Trigonometry of right-angled triangles
  • Calculate using integer powers and roots
  • Use order of operations (BIDMAS)
  • Put the brackets into a calculation to make it true
  • Write a number in standard form
  • Add, subtract, multiply and divide with numbers written in standard form
  • Solve functional problems involving area and perimeter compound shapes
  • Use Pythagoras's theorem to find a missing length
  • Use Pythagoras' theorem to solve a problem involving area or perimeter
  • Use trigonometric ratios to find a missing lengths and angles. 
 
Skills Taught:
  • Show that a solution exists between two values
  • Find an approximate solution via iteration
  • Obtain an output using f(x) notation
  • Inverse functions f-1(x)
  • Composite functions fg(x)

 

  • Complete the square
  • Turning point of a quadratic
  • Roots, intercepts and turning point of quadratic function
  • Translating functions f(x)+a & f(x+a)
  • Stretching functions af(x) & f(ax)
  • Sketch quadratics and show roots/intercept/turning point
  • Sketch graphs after Combination of transformations
  • Show the effect of a point after transformations
  • Exact values of sin θ, cos θ, tan θ for θ = 0°,30°,45°,60°,90°
  • Pythagoras's theorem and trigonometry without a calculator
  • Pythagoras' in 3D
  • Trigonometry (SOHCAHTOA) in 3D
  • Sine Rule – missing lengths and angles
  • Cosine Rule – missing lengths and angles
  • ½absinC to calculate the area of a triangle
  • Recognise and sketch graphs of trigonometric functions
  • Describe directional vectors as column vectors and vice versa
  • Add and subtract vectors, and multiply vectors by a scalar
  • Geometrical problems, including midpoints and lines divided into a ratio
  • Geometrical proofs (lines are parallel, points lie on a straight line)

 

  • Distance-time
  • Speed-time graphs
  • Find the speed from a distance-time graph
  • Average speed or acceleration on dis-t or sp-t graphs
  • Areas under line graphs and interpret the results
  • Time series
  • Prove identities
  • Disprove by counterexample
  • Express a number property using algebra
  • Construct simple algebraic proofs
  • Construct complex algebraic proofs
  
Web Links:

Corbett Maths Worksheets:

https://corbettmaths.com/contents/

Corbett Maths Worksheets:

https://corbettmaths.com/contents/

Corbett Maths Worksheets:

https://corbettmaths.com/contents/
Back