Download Year 8 - Testbourne Community School

Testbourne Community School
Year/Strand
Estimated Y11
GCSE grade
based on skills at
the end of Year 8
Knowledge
Mathematics Department – Key stage 3 Overview of Assessment Criteria
Year 8 Geometry and measures (1) strand
Foundation
1-3
- Know that an angle is a measure of 'turn'.
- Know that a protractor is used to measure and construct
angles.
- Know the names of types of angles; right angle, acute,
obtuse and reflex.
- Know that angles on a straight line total 180°
- Know that angles around a point total 360°.
- Know that vertically opposite angles are equal
- Know how to use a ruler to measure lines to the nearest
mm.
- Know how to interpret simple scale drawings.
- Know Pupils how to convert and write standards units of
measurements including money and time.
- Know the names of 2D and 3D shapes including special
triangles.
- Start to know the names of special quadrilaterals.
- Know that certain shapes have lines of symmetry.
- Know the simple conventions/symbols used to
identify/label geometric properties in geometrical diagrams
(eg. for example parallel lines, equal length line etc.)
- Know the meaning of terms such as edge, face, vertex for
2D and 3D shapes and also perpendicular and parallel.
- Know that angles in any triangle total 180°.
- Know all of the properties of equilateral and isosceles
triangles.
- Know how to use the standard units of measurement for
lengths/distances and time and money in a variety of
contexts.
- Know the formula for the area of a triangle, rectangle and
how to work out the area of shapes made from rectangles.
- Know what is meant by volume of a cuboid and also by
surface area.
- Know how to measure lengths and angles in geometric
shapes/drawings.
- Know how to use isometric paper to draw 2D
representations of 3D shapes.
Developing
4-5
Aspiring
6-7
Mastering
8-9
Additionally
- Know how to solve simple
problems related to angles in
triangles.
- Know the standard
constructions for triangles (using
a protractor, ruler and pair of
compasses as appropriate)
- Know what nets are and know
how to construct simple nets for
cubes, cuboids and some
pyramids.
- Know and recall the terms
associated with parts of circles.
- Know that angles in a
quadrilateral add up to 360°
- Know how to calculate the
volume of simple cubes and
cuboids.
- Interpret scales on a small range
of measuring instruments.
Additionally
- Know how to use angle facts learnt so far to
solve more complex problems involving angles
in geometric diagrams.
- Know corresponding and alternate angles in
parallel lines.
- Know a proof for the total of angles in a
triangle and in a quadrilateral.
- Know the conversions between metric units
and also approximate conversions between
metric and imperial measures.
- Know how to solve problems involving
everyday measures such as volume, capacity,
mass, time, simple bearings and angles.
- Know how to solve problems involving the
areas and perimeters of triangles,
parallelograms, trapeziums including
compound shapes.
- Know how to calculate the volume and
surface area of cubes, cuboids and shapes
made from these.
- Know how to construct scale drawings.
- Know how to interpret scales on a wider
range of measuring instruments.
- Know the names and properties of regular
polygons and identify line and order of
rotational symmetry.
- Know what the terms complementary angles
and supplementary angles mean.
- Know the term loci and construct simple loci.
- Know the standard constructions for items
such as perpendicular bisector of a line.
- Know and use the formula for the area and
circumference of a circle.
Additionally
Know the relationship of angles
between parallel lines.
Know that alternate, allied and
corresponding angles are derived
from the relationship between the
transversal as it cuts through
parallel lines.
Know how to solve problems using
properties of angles, of parallel and
intersecting lines, and of triangles
and special quadrilaterals finding
missing angles and know how to
justify and explain reasoning with
diagrams and text.
Know how to derive the formula
for finding the sum of interior
angles of any polygon 180 x (n-2)
where n represents the number of
sides.
Know that the sum of exterior
angles = 360° therefore 360 ÷ n
(where n represents the number of
sides) = the size of an exterior
angle and 360 ÷ an exterior angle =
n.
Know how to draw the nets of
cylinders, pyramids and cones.
Know how to use the standard
formulae for area, perimeter,
volume and surface area of
standard prism including cylinders.
Know how to give a bearing
between two points.
Know how to solve more complex
problems involving area and
circumference of circles.
Testbourne Community School
Year/Strand
Mathematics Department – Key stage 3 Overview of Assessment Criteria
Year 8 Geometry and measures (1) strand - continued
Foundation
Developing
Aspiring
Mastering
Estimated Y11
GCSE grade
based on skills at
the end of Year 8
1-3
4-5
6-7
8-9
Understanding
- Understand that angles on a straight line total 180° and
that this allows us to find missing angles on a straight
line.
- Understand that angles around a point total 360° and
that this allows us to find a missing angle around a point.
- Understand why vertically opposite angles are equal
and use this knowledge to find missing angles.
- Understand how to use a ruler to measure lines to the
nearest mm.
- Understand simple scale drawings.
- Understand how to convert and write standards units
of measurements, including money and time.
- Recognise 2D and 3D shapes including special triangles
when their names are used.
- Recognise the names of special quadrilaterals.
- Understand that certain shapes have lines of
symmetry.
- Understand the simple conventions/symbols used to
identify/label geometric properties in geometrical
diagrams (for example parallel lines, equal length lines.)
- Understanding the meaning of terms such as edge,
face, vertex for 2D and 3D shapes and also perpendicular
and parallel.
- Understand that angles in any triangle total 180°.
- Understand the properties of equilateral and isosceles
triangles.
- Understand how to use the standard units of
measurement for lengths/distances and time and money
in a variety of contexts.
- Understand formula for the area of a triangle, rectangle
and how to work out the area of shapes made from
rectangles.
- Understand what is meant by volume of a cuboid and
also by surface area.
- Understand how to measure lengths and angles in
geometric shapes/drawings.
- Understand how to use isometric paper to draw 2D
representations of 3D shapes.
Additionally
- Understand how to solve simple
problems related to angles in
triangles.
- Understand the standard
constructions for triangles (using a
protractor, ruler and pair of
compasses as appropriate)
- Understand what nets are and
know how to construct simple nets
for cubes, cuboids and some
pyramids.
- Understand and recall the terms
associated with parts of circles.
- Understand why angles in a
quadrilateral add up to 360°
- Understand how to calculate the
volume of simple cubes and
cuboids.
- Understand how to interpret
scales on a small range of
measuring instruments.
Additionally
- Understand how to use angle facts learnt so
far to solve more complex problems involving
angles in geometric diagrams.
- Understand what a corresponding and
alternate angle is in parallel lines.
- Understand a proof for the total of angles in a
triangle and in a quadrilateral.
- Understand the conversions between metric
units and also approximate conversions
between metric and imperial measures.
- Understand how to solve problems involving
everyday measures such as volume, capacity,
mass, time, simple bearings and angles.
- Understand how to solve problems involving
the areas and perimeters of triangles,
parallelograms, trapeziums including
compound shapes.
- Understand how to calculate the volume and
surface area of cubes, cuboids and shapes
made from these.
- Understand how to construct scale drawings.
- Understand how to interpret scales on a
wider range of measuring instruments.
- Understand the names and properties of
regular polygons and identify line and order of
rotational symmetry.
- Understand what the terms complementary
angles and supplementary angles mean.
- Understand the term loci and how to
construct simple loci.
- Understand the standard constructions for
items such as perpendicular bisector of a line.
- Understand and use the formula for the area
and circumference of a circle.
Additionally
Understand the relationship of
angles between parallel lines.
Understand that alternate, allied and
corresponding angles are derived
from the relationship between the
transversal as it cuts through parallel
lines.
Understand how to solve problems
using properties of angles, of parallel
and intersecting lines, and of
triangles and special quadrilaterals
finding missing angles and
Understand how to justify and
explain reasoning with diagrams and
text.
Understand how to derive the
formula for finding the sum of
interior angles of any polygon 180 x
(n-2) where n represents the number
of sides.
Understand that the sum of exterior
angles = 360° therefore 360 ÷ n
(where n represents the number of
sides) = the size of an exterior angle
and 360 ÷ an exterior angle = n.
Understand how to draw the nets of
cylinders, pyramids and cones.
Understand how to use the standard
formulae for area, perimeter,
volume and surface area of standard
prism including cylinders.
Understand how to give a bearing
between two points.
Understand how to solve more
complex problems involving area and
circumference of circles.
Testbourne Community School
Year/Strand
Estimated Y11
GCSE grade
based on skills at
the end of Year 8
Skills
Mathematics Department – Key stage 3 Overview of Assessment Criteria
Year 8 Geometry and measures (1) strand continued
Foundation
Developing
1-3
4-5
- Using a protractor measure angles and construct angles.
- Recall & recognise right angles, acute, obtuse and reflex
angles
- Recall and use the fact that angles on a straight line total
180° to find missing angles in problems related to a straight
line.
- Recall and use the fact that angles around a point total 360°
to find a missing angle around a point.
- Recall and use the fact that vertically opposite angles are
equal to find missing angles in simple problems.
- Use a ruler to measure lines to the nearest mm.
- Interpret simple scale drawings
- Convert metric units of length measurements and money and
time.
- Recognise 2D and 3D shapes including special triangles using
their correct names.
- Recall the names of some special quadrilaterals.
- Identify and draw lines of symmetry on 2D shapes.
- Label simple diagrams and shapes with the correct symbols
used to identify geometric properties such as parallel lines and
equal length lines.
- Identify edges, faces, vertices on 2D and 3D shapes.
- Identify perpendicular and parallel lines in a variety of
contexts.
- Solve very simple problems using the fact that angles in a
triangle add up to 180°
- Recall and explain the properties of equilateral and isosceles
triangles.
- Recall and use the standard units of measurement for
lengths/distances and time and money in a variety of contexts.
- Use the formula for the area of a triangle and rectangle and
also work out the area of simple shapes made from rectangles.
- Recall what is meant by volume of a cuboid and also by
surface area.
- Measure lengths and angles accurately in geometric
shapes/drawings.
- Use isometric paper to draw 2D representations of simple 3D
shapes.
Additionally
- Solve simple problems related
to angles in triangles.
- Draw standard constructions
for triangles (using a protractor,
ruler and pair of compasses as
appropriate)
- Construct simple nets for
cubes, cuboids and some
pyramids.
- Recall the terms associated
with parts of circles.
- Explain why angles in a
quadrilateral add up to 360°
- Calculate the volume of
simple cubes and cuboids.
- Interpret scales on a small
range of measuring
instruments.
Aspiring
Mastering
Additionally
- Use angle facts learnt so far to solve more
complex problems involving angles in
geometric diagrams.
- Identify and solve simple problems
involving corresponding and alternate angle
is in parallel lines.
- Explain a proof for the total of angles in a
triangle and in a quadrilateral.
- Perform conversions between metric units
and also use approximate conversions
between metric and imperial measures.
- Solve problems involving everyday
measures such as volume, capacity, mass,
time, simple bearings and angles.
- Solve problems involving the areas and
perimeters of triangles, parallelograms,
trapeziums including compound shapes.
- Calculate the volume and surface area of
cubes, cuboids and shapes made from these.
- Construct scale drawings.
- Interpret scales on a wider range of
measuring instruments.
- Recall the names and properties of regular
polygons and identify line and order of
rotational symmetry of these shapes.
- Recall the terms complementary angles and
supplementary angles mean.
- Construct simple loci.
- Draw standard constructions for items such
as perpendicular bisector of a line.
- Recall and use the formula for the area and
circumference of a circle.
Additionally
- Solve problems using properties of
angles, of parallel and intersecting
lines, and of triangles and special
quadrilaterals finding missing angles
and Understand how to justify and
explain reasoning with diagrams and
text.
- Derive the formula for finding the
sum of interior angles of any polygon
180 x (n-2) where n represents the
number of sides.
- Use the fact that the sum of
exterior angles = 360° therefore 360
÷ n (where n represents the number
of sides) = the size of an exterior
angle and 360 ÷ an exterior angle =
n.
- Draw the nets of cylinders,
pyramids and cones.
- Use the standard formulae for area,
perimeter, volume and surface area
of standard prism including cylinders.
- Work out the bearing between two
points.
- Solve more complex problems
involving area and circumference of
circles.
Testbourne Community School
Mathematics Department – Key stage 3 Overview of Assessment Criteria
Applies to all Mathematics Strands
Application
Grade
Descriptors
from the
Department
for Education
•
FOUNDATION
DEVELOPING
To achieve grade 2 and GCSE,
candidates will be able to:
• recall and use notation,
terminology, facts and
definitions; perform routine
procedures, including some
multi-step procedures
• interpret and communicate
basic information; make
deductions and use
reasoning to obtain results
• solve problems by
translating simple
mathematical and nonmathematical problems into
mathematical processes
• provide basic evaluation of
methods or results
• interpret results in the
context of the given
problem
To achieve grade 5 at GCSE, candidates will be able
to:
• perform routine single- and multi-step
procedures effectively by recalling,
applying and interpreting notation,
terminology, facts, definitions and
formulae
• interpret and communicate information
effectively
• make deductions, inferences and draw
conclusions
• construct chains of reasoning, including
arguments
• generate strategies to solve mathematical
and non-mathematical problems by
translating them into mathematical
processes, realising connections between
different parts of mathematics
• interpret results in the context of the given
problem
• evaluate methods and results
MASTERING
To achieve grade 8 at GCSE, candidates will be able
to:
• perform procedures accurately
• interpret and communicate complex
information accurately
• make deductions and inferences and draw
conclusions
• construct substantial chains of reasoning,
including convincing arguments and formal
proofs
• generate efficient strategies to solve complex
mathematical and non-mathematical
problems by translating them into a series of
mathematical processes
• make and use connections, which may not be
immediately obvious, between different parts
of mathematics
• interpret results in the context of the given
problem
• critically evaluate methods, arguments,
results and the assumptions made
The national curriculum for mathematics aims to ensure that all pupils:
- become fluent in the fundamentals of mathematics, including through varied and frequent practice with increasingly complex problems over
time, so that pupils develop conceptual understanding and the ability to recall and apply knowledge rapidly and accurately.
- reason mathematically by following a line of enquiry, conjecturing relationships and generalisations, and developing an argument, justification
or proof using mathematical language
- can solve problems by applying their mathematics to a variety of routine and non-routine problems with increasing sophistication, including
breaking down problems into a series of simpler steps and persevering in seeking solutions.