Angles

 

• Recognise acute, obtuse, reflex and right angles.
• Estimate angles and measure them accurately.
• Angle properties at a point & on a straight line.
• Understand terms ‘perpendicular’ and ‘parallel’. (F)
• Recognise corresponding angles & alternate angles.
• Understand & use three-figure bearings. (D)

 

Properties of Triangles

 

• Identify the various types of triangle.
• Use the word ‘congruent’ for identical triangles. (G)
• Show that angles in a triangle total 180° & use this
• Show that the exterior angle of a triangle is equal to the sum of the interior opposite angles.
• Use angle properties of triangles. (E)

 

Use of symbols

 

• Simplify expressions with one variable. (F)
• Simplify expressions with more than one variable. (E)
• Multiply out expressions with brackets
• Factorise simple expressions such as 6a + 8 (D)
• Expand and simplify harder expressions. (C)

       

Perimeter and Area

 

• Find the perimeter and area of a shape by counting squares.
• Estimate the area of an irregular shape
• Name the parts of a circle (G)
• Work out the area and perimeter of a simple rectangle. (F)
• Work out the area & perimeter of a harder rectangle. (E)
• Find the area of a triangle, parallelogram, kite and trapezium
• Find the area and perimeter of compound shapes
• Calculate the circumference and area of a circle. (D)
• Find the perimeter and area of a semi-circle. (C)

 

Properties of Polygons

 

• Recognise and name shapes such as isosceles triangle, parallelogram, rhombus, trapezium and hexagon. (G)
• Calculate interior and exterior angles of a quadrilateral.
• Be able to tessellate shapes. (E)
  Classify a quadrilateral by geometric properties
• Calculate interior and exterior angles of a regular polygon. (C)

 

Sequences

 

• Continue a sequence of numbers or diagrams
• Write the terms of a simple sequence. (G)
• Find a particular term in a sequence involving positive numbers
• Write the term-to-term rule in a sequence involving positive numbers. (F)
• Find a particular term in a sequence involving negative or fractional numbers
• Write the term-to-term rule involving negative or fractional numbers. (E)
• Write the terms of a sequence or a series of diagrams given the nth term. (D)
• Write the nth term of a sequence or a series of diagrams. (C)

 

Co-ordinates

 

• Use coordinates in the first quadrant. (G)
• Use coordinates in all four quadrants. (F)
• Draw line such as x = 3 and y = x + 2 (E)
• Solve problems involving straight lines
• Draw lines such as y = 2x + 3 (D)
• Find the midpoint of a line segment
• Use and understand coordinates in three dimensions        (C)

 

Area & Volume

 

• Find the volume of a solid by counting cubes and state the correct units. (G)
• Find the volume of a cube or cuboid
• Find the height of a cuboid if given other dimensions (E)
• Change between area measures, such as m² to cm² (D)
• Calculate the surface area and volumes of prisms and cylinders
• Calculate volumes of prisms and cylinders
• Change between volume measures. (C)

 

 

Equations

 

• Solve simple one-step equations such as 3x = 12 (F)
• Solve two-step equations such as 3x – 1 = 9 (E)
• Solve equations with brackets such as 2 (5x + 1) = 28
• Solve equations where the letter appears twice       (D)
• Solve more complex equations combining several of the above such as brackets and letter appearing twice
• Solve inequalities such as 3x < 9 and 12 = 3n < 20
• Solve linear inequalities such as 4x – 3 < 10
• Represent sets of solutions on a number line (C)

 

Reflections & Rotations

 

• Draw a line of symmetry on a 2D shape
• Draw the reflection of a shape in a mirror line (G)
• Draw ALL the lines of symmetry on a 2D shape
• Draw the line of reflection for two shapes
• Give the order of rotation of a 2D shape
• Name, draw or complete 2D shapes from information about their symmetry (F)
• Reflect shapes in the axes of a graph (E)
• Reflect shapes in lines parallel to the axes, such as x = 2 and y = -1
• Rotate shapes about the origin
• Describe fully reflections in a line and rotations about the origin
• Identify reflection symmetry in 3D solids (D)
• Reflect shapes in lines such as y = x and y = - x
• Rotate shapes about any point
• Describe fully reflections in any line and rotations about any point
• Find the centre of a rotation and describe it fully
• Combine reflections and rotations (C)

 

Trial & Improvement

 

• Form and solve equations such as x³ + x = 12 using trial and improvement (C)

 

Translation & Enlargement

 

• Give a scale factor of an enlarged shape (F)
• Enlarge a shape by a positive scale factor
• Find the measurements of the dimensions of an enlarged shape
• Use map scales to find distance (E)
• Enlarge a shape by a positive scale factor from a given centre
• Translate a shape using a description such as 4 units right and 3 units down
• Compare the area of an enlarged shape with the original shape (D)
• Enlarge a shape by a fractional scale factor
• Translate a shape by a vector
• Transform shapes by a combination of translation, rotation, and reflection (C)

 

Measures

 

• Decide which metric unit to use in everyday situations (G)
• Convert between metric and imperial units
• Make sensible estimates of a range of measures
• Know simple rough metric equivalents for imperial units (F)
• Solve simple speed problems        (E)
• Solve more difficult speed problems (C)

 

Real-life graphs

 

• Plot points of a conversion graph & read off values (F)
• Interpret distance – time graphs (E)
• Calculate simple speeds from distance – time graphs       (D)
• Calculate complex average speeds from d-t graphs (C)

 

Formulae

 

• Use a formula written in words (G)
• Use a simple formula with positive numbers (F)
• Write an expression from a problem
• Substitute negative numbers into simple formula (E)
• Substitute numbers into more complicated formulas (D)
• Solve a problem by forming & solving an equation
• Rearrange simple linear formulae (C)

 

Construction

 

• Measure a line accurately to the nearest millimetre
• Recognise the net of a simple solid such as a cuboid (G)
• Measure & draw angles accurately to the nearest degree
• Draw the net of a simple solid such as a cuboid       (F)
• Draw a triangle from various measurements (E)
• Draw a quadrilateral such as a kite or a parallelogram with given measurements
• Construct and recognise the nets of 3D solids such as pyramids and triangular prisms (D)
• Construct the perpendicular bisector of a line
• Construct the perpendicular from a point to a line
• Construct the perpendicular from a point on a line
• Construct angles of 60° and 90°
• Construct the bisector of an angle (C)

 

Graphs of linear functions

 

• Plot the graphs of straight lines such as x = 3 and y = 4
• Complete a table of values for equations such as
• y = 2x + 3 and draw the graph (E)
• Solve problems involving graphs, such as finding where the
  line y = x + 2 crosses the line y = 1 (D)
• Recognise the equations of straight line graphs
• Find the gradients of straight line graphs        (C)

 

Pythagoras

 

• Use Pythagoras theorem to find:
• the hypotenuse of a right-angled triangle
• any side of a right-angled triangle
• the height of an isosceles triangle (C)