Year 8

ANGLES

• Understand that angle is a measure of turn.
• Recognise and name acute, obtuse and reflex angles.
• Know that there are 360 in a full turn.
• Know how to measure angles with a protractor up to 180 (or 360)
• Draw angles accurately up to 180 or 360 degrees.
• Understand angles in a straight line and angles at a point.
• Understand that angles in a triangle add up to 180.
• Understand and use 8 points of compass, and the terms clockwise and anticlockwise.
• Understand and use the terms vertical, horizontal and perpendicular.

ALGEBRA

• Use a letter to represent an unknown quantity.
• Collect ‘like’ terms.
• Multiply and expand simple expressions involving brackets.
• Identify and describe simple sequences.
• Solving simple equations.
• Know the difference in an expression, equation and formula
• Simplifying expressions by gathering together like terms
• Simplify expressions by multiplying and dividing terms
• Expanding brackets revision
• Solve equations
• Solve equations after expanding brackets
• Solve: 4 x + 2 = x + 8 involving two operations
• Use algebra to solve problems in real life
• Factorise expressions
• Translate word questions into equation form

DATA HANDLING

• Collect and record data within the class.
• Display data on Bar Charts, Pictograms, Pie Charts, Scatter graphs, Stem and leaf diagram and Frequency Polygons.
• Interpret graphs and charts.
• Calculate the mean from discrete and/or grouped data.
• Find the median from the discrete and/or grouped data.
• Calculate the range.
• Calculate mean from a frequency table.
• Interpret statistics from real-life situations.

FRACTIONS AND PERCENTAGES

• Pupils will understand the term equivalent and be able to convert a fraction into an equivalent fraction.
• Pupils would be able to write fractions in their simplest form.
• Pupils will be able to find the fraction of a quantity.
• Pupils will be able to add and subtract fractions.
• Pupils understand what is meant by decimals.
• Pupils should be able to convert simple fractions to decimals.
• Pupils understand percentage notation.
• Pupils will be able to change a percentage to a fraction.
• Pupils will be able to change between percentages and decimals.
• Pupils will be able to find the percentage of a quantity.

NUMBER

• Understand and use the term multiple and factor.
• Identify HCF and LCM.
• Identify prime numbers.
• Investigate square/triangular numbers.
• Investigation of cubic numbers.
• Understand square and cube roots.
• Order of operations (BODMAS).
• Index laws
• Rules of negative numbers.
• Round numbers using decimal places and significant figures.
• Use knowledge of square numbers, square roots and rounding to apply Pythagoras Theorem.

METRIC UNITS AND SCALE DRAWING

• Understand and use metric units of length.
• Know the connection between units.
• Measure lengths of objects
• Estimate lengths of objects
• Understand and use metric units of mass/weight.
• Know connections between units
• Measure weights of objects
• Estimate weights of objects
• Be aware of connections between units.
• Make a simple scale drawing.

Year 9
TRANSFORMATIONS

• Recognise the four types of transformation – translation, reflection, rotation, enlargement
• Translate shapes given the vector
• Calculate the vector given the shape and its image after transformation
• Reflect shapes by drawing mirror image
• Revision of drawing a line such as y=3
• Reflect shapes in a given line, eg. x=2
• Rotate shapes given the angle and centre of rotation
• Combined transformations
• Calculate centre of enlargement and scale factor from given shape and its enlargement
• Enlarge shapes with whole number scale factor
• Enlarge shapes with fractional scale factor

PROBABILITY

• Use the words for probability – certain/likely/even/unlikely/impossible
• Use a scale for probability
• Calculate probabilities as a fraction, decimal and percent

SCATTER GRAPHS

• Understand and identify the types of correlation in real life situations.
• Plot scatter graphs and decide the appropriate correlation.
• Understand and draw a line of best fit.
• Use the line of best fit for missing data.

TIME

• Read the time from a clock face.
• Show times on a clock face.
• Understand am/pm times.
• Add time.
• Calculate the time lapse from on time to another.
• Convert minutes to hours, and vice versa.
• Interpret timetables and convert from 12 to 24-hour clock, and vice versa.
• Read calendars

STRAIGHT LINE GRAPHS

• Plot co-ordinates in all four quadrants.
• Represent simple functions for vertical and horizontal lines.
• Understand substitution with formulas and linear equations. Find points that line on a line and list the coordinates.
• Represent linear equations on x, y axes.
• Read and interpret real-life graphs (conversion graphs).

SHAPE AND CONSTRUCTION

• Recognise and define a polygon.
• Recognise different types of polygons
• Define a triangle and know the properties of each type of quadrilateral.
• Define a quadrilateral and know the properties of each type or quadrilateral.
• Determine the parts of a polygon.
• Use a compass to draw circles.
• Construct triangles and some regular polygons using a compass.
• Define congruence and tessellation.
• Recognise common 3D objects.
• Draw 3D shapes on Isometric paper.
• Draw, cut and fold nets of cubes and cuboids.
• Create other 3D shapes given net templates.

SYMMETRY

• Recognise line symmetry
• Draw lines of symmetry on shapes and letters.
• Reflect 2D shapes in horizontal and vertical mirror lines.
• Know the symmetrical properties of regular/irregular 2D shapes (including quadrilaterals and special triangles).
• Understand terms object, image, line of reflection, congruent.
• Draw the horizontal and vertical mirror line, given the object and the image.
• Reflect 2D shapes in diagonal lines (equivalent to y = x and y = – x)
• Reflect 3D shapes in a face and a line.
• Examine patterns occurring in different cultured (tessellations, Amish quilt design and Islamic tile patterns.
• Recognise and use rotational symmetry.
• Describe the order and centre of rotational symmetry.

AREA AND PERIMETER

• Calculate the perimeter and area by counting squares.
• Use the formula for the area of a rectangle and a square.
• Estimate the area by counting whole squares and part squares.
• Use the formula to find the area of a triangle.
• Find the area of parallelograms.
• Find the area of composite shapes.
• Be familiar with parts of a circle.
• Understand the meaning of and discover the formula to calculate circumference of a circle
• Understand and use appropriate formula to calculate circumference and area of a circle.
• Understand, use and apply Pythagoras Theorem.

VOLUME AND CAPACITY

• Understand the concept of volume; be able to calculate volume by counting cubes; and discover a formula to calculate volume of cubes and cuboids.
• Understand the units of volume.
• Understand the distinction between capacity and volume, and their respective units.

Year 10

PYTHAGORAS THEOREM

• Understand, use and apply in 2D
• Find the midpoint of two co-ordinates, or the midpoint of a line
• Find the length of a line given in co-ordinates

RATIO

• Use the term ratio and ratio notation
• Simplify ratios
• Share a quantity in a given ration
• Use ratio in real-life examples: including maps, recipes, etc

ANGLES, TRIANGLES AND PARALLEL LINES

• Name the types of triangles using their sides and angles
• Use letters to give the name of angles
• Calculate interior and exterior angles
• Calculate the missing angles in triangles and quadrilaterals
• Recognise, label and draw parallel lines
• Name angles made by intersecting lines
• Construct triangles with compass/protractor and ruler

CO-ORDINATES AND STRAIGHT LINE GRAPHS

• Plotting and identifying points in all four quadrants
• Locate position (including maps, angles and turns)
• Generate co-ordinates for a line
• Explore linear functions and make tables of linear function
• Plot straight line graphs
• Find the gradient of a straight line graph

COLLECTING AND RECORDING DATA

• Survey: design; know good question structure and answer options; sensitivity to data collection
• Access and retrieve data from a variety of sources
• Be able to group data into given class intervals
• Collect, organise and record data by using and designing recording sheets, using tallying methods where appropriate
• Use a decision tree diagram to sort items
• Draw and interpret frequency tables and diagrams; pictograms; charts and line graphs
• Draw and interpret stem and leaf diagrams
• Draw and interpret pie charts
• Two way tables: construct and use
• Scatter graphs: draw, line of best fit, estimate, distinguish correlation
• Two and Three circle Venn diagrams

DATABASES, TABLES AND LISTS

• Interrogate data in a database
• Represent information graphically using IT
• Mean, median, mode and range: calculate and appreciate their suitability; use to compare data sets
• Calculate mean, modal and median class from grouped frequency table

PRODUCT OF PRIMES, HCF AND LCM

• Express a positive number as a product of primes
• Find highest common factor or Lowest common multiple of two whole numbers

FINANCIAL CAPABILITY

• Understand key terms of finance
• Calculate using money including rounding and change
• Calculate percentages
• Calculate percentage increase/decrease
• Calculate profit and loss
• Exchange rates and foreign currency
• Wages including PAYE
• Debit and credit cards, hire purchase, mortgage and savings
• Calculate interest on savings/loans – APR/AER
• Complete cheques
• Read and calculate from bank statements
• Budgeting