Maths Year 8 Long Term Plan 2015-16

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Alcester Academy Curriculum Planning: Key Stage 3
Department:
Maths
Year Group: Year 8
Term
Topic/ subject
Assessment Objectives
Skills
Include detail of any differentiation
Literacy, numeracy and
SMSC opportunities
Autumn 1
Ratio and Scale
Interpret scales on a range of measuring
instruments including mm, cm, m, km, ml, cl, l,
mg, g, kg, tonnes.
Draw and measure line segments and angles in
geometric figures, including interpreting scale
drawings.
Use scale factors, scale diagrams and maps.
Give a bearing between the points on a map or
scaled plan, interpret bearing and scaled
drawings.
Convert between different metric measures
and know their imperial equivalence.
Draw angles using a protractor.
Interpret scales on a drawing.
Draw plans using a scale.
Draw and measure bearings.
Use fractional scale factors.
Calculate reverse bearings using angle rules.
Key words: Ratio, metric, imperial,
scale and bearings.
Able to recall the names of quadrilaterals and 3D shapes and identify their properties.
Describe, sketch and draw using conventional
terms and notations: points, lines, parallel lines,
perpendicular lines, right angles, regular
polygons, and other polygons that are
reflectively and rotationally symmetrical.
Able to label correctly and use correct notation
i.e. “A” and “a” are used in different contexts on
a shape.
Know the names of different quadrilaterals
and their properties.
Recognise parallel and perpendicular lines.
Use the correct angle notation.
Describe a shape in terms of its rotational
symmetry.
Solve problems using the properties of
different polygons.
Collecting like terms.
Solve linear Equations.
Substitute integer values into expressions and
formulae.
Be able to change the subject of a formula; not
including powers, brackets, fractions or the
subject appearing twice.
Standard algebraic techniques including
collecting like terms, substitution of
numbers into simple formulae, expanding a
single bracket, solving linear equations
Solve an equation with unknowns on both
sides.
Identify and construct congruent triangles, and
construct similar shapes by enlargement, with
and without coordinate grids.
Identify properties of, and describe the results
of, translations, rotations and reflections applied
to given figures.
Enlargement of 2-D shapes, including given a
centre of enlargement and a positive integer
scale factor.
Record, describe and analyse the frequency of
outcomes of simple probability experiments
Construct triangles SAS, ASA and SSS.
Enlarge shapes with integer and fractional
scale factors.
Enlarge shapes from a centre on a
coordinate grid.
Rotate, translate and reflect shapes.
Use a column vectors to describe and draw
translations.
Written instructions for the
different transformations.
Place events on a probability scale using the
appropriate language.
Creating events to place a
probability scale. Students will
Shape Properties
Autumn 2
Algebra 3
Transformations
Spring 1
Probability
Final assessment task
and title
Being able to estimate using
different measures, helps students
understand the world around
them.
Use of real life maps to understand
scales and drawings.
Using the correct spelling for key
words: Isosceles, perpendicular,
parallel etc.
Problem solving skills and
teamwork are fundamental to
Mathematics, through creative
thinking, discussion, explaining and
presenting ideas. Students are
always encouraged to develop their
Mathematical reasoning skills,
communicating with others and
explaining concepts to each other.
Create expressions from worded
problems and vice versa.
Examples of where algebra is useful
in the real world.
Links to different cultural patterns
and art work. Improves students’
spatial awareness.
.
Alcester Academy Curriculum Planning: Key Stage 3
Construction and Loci
Spring 2
Summer 1
Interpreting Data
Circles
involving randomness, fairness, equally and
unequally likely outcomes, using appropriate
language and the 0-1 probability scale.
Understand that the probabilities of all possible
outcomes sum to 1.
Create sample spaces and be able to calculate
the probability of an event from this list.
Complete a probability tree.
Calculate probability of an event as a
fraction.
Know that all probabilities add up to one.
Calculate the probability of an event NOT
occurring.
Know the difference between theoretical
and experimental probability and carry out
an experiment.
Complete probability trees and use them to
calculate the probability of two independent
events.
need to able to reason why they
have placed different events.
Derive and use the standard ruler and compass
constructions (perpendicular bisector of a line
segment, constructing a perpendicular to a given
line from/at a given point, bisecting a given
angle); recognise and use the perpendicular
distance from a point to a line as the shortest
distance to the line.
Apply standard ruler and compass constructions
in problems involving loci.
Be able to recall and apply Pythagoras' theorem.
Find a long or short side (2 sides given).
Understand and recall common Pythagorean
triples.
Use a compass to construct triangles,
perpendicular bisector and angle bisector in
a range of ways.
Apply constructions to loci.
Find missing sides of right angled triangles
by understanding Pythagoras.
Create instructions for the different
constructions.
Describe simple mathematical relationships
between two variables in observational and
experimental contexts and illustrate using
scatter graphs. Identify and describe the
correlation and relationship between two
variables and draw on a line of best fit, use this
line of best fit to estimate values.
Draw and interpret stem and leaf diagrams.
Calculate mean, median, mode and range from a
list, frequency table or grouped frequency table.
Draw pie charts.
Derive and illustrate properties of a circle, and
be able to identify and label the parts of a circle.
Use constructions to draw circles, given the
radius or diameter.
Calculate and solve problems involving:
perimeters and areas of 2-D shapes (including
circles), areas of circles and composite shapes.
Be able to split up a composite shape into 2 or
more shapes to find its area and perimeter.
Draw and interpret information from tables
and graphs.
Draw and interpret scatter graphs.
Calculate mean, median, mode and range
from a list.
Calculate mean, median, mode and range
from frequency table or grouped frequency
table
Read information from table and
graphs and write conclusions.
Find the area and perimeter of different 2D
shapes including compound shapes.
Label the parts of a circle.
Know how to find the area and
circumference of a circle.
Solve functional problems involving area of
compound shapes.
Find the area and perimeter of shapes that
involve circles.
Key words: centre, radius, chord,
diameter, circumference, tangent,
arc, sector and segment.
The teaching of probability
introduces the idea of gambling
and will address issues related with
this.
Use of Loci in situations such as
town planning.
Students to understand how the
media could use different graphs
and averages to influence our
decisions.
Solving functional problems
involving area and perimeter.
Pupils will calculate how much
paint would be needed to decorate
a room.
Alcester Academy Curriculum Planning: Key Stage 3
Identify and apply circle definitions and
properties, including: centre, radius, chord,
diameter, circumference, tangent, arc, sector
and segment.
Proportion 2
Summer 2
Solving Equations and
Inequalities
Plotting and Sketching
Graphs
Solve problems involving direct and inverse
proportion, including graphical and algebraic
representations.
Be able to solve a direct or inverse proportion
problem when the information is given as a
formula. Know how to solve numerical problems
which are direct or inverse proportion. Use
percentage change for growth and decay
problems.
Solve linear equations in one unknown
algebraically including those with two stages of
calculation and/or with brackets. Translate
simple situations or procedures into algebraic
expressions or formulae; derive an equation and
solve the equation and interpret the solution.
Solve equations with multisteps including those
with unknown on both sides. Solve linear
inequalities in one variable and represent the
solution set on a number line and using set
notation.
Solve quadratic equations. Find approximate
solutions using a graph.
Use the unitary method to solve proportion
problems.
Represent proportion problems graphically,
Calculate the best buy.
Use algebraic methods to solve proportion
problems.
Understand compound interest and decay
problems.
Give definitions for the key words
ratio, proportion, and share and
simplify.
Solve linear equations.
Form equations from a range of situations
to solve problems e.g. perimeter problems.
Understand inequalities and represent on a
number line.
Solve multistep equations that include
unknowns on both sides.
Solve inequalities and represent on a
number line.
Solve quadratic equations.
Key words: Equation, Formula and
Identity.
Recognise, sketch and produce graphs of linear
and quadratic functions of one variable with
appropriate scaling, using equations in x and y
and the Cartesian plane. Use plots in all four
quadrants and substitution skills for 2 variables.
Plot and recognise graphs of the form x=a and
y=b and the equation of a line y=mx+c, including
the use of tables of values, gradient and
intercept. Plot quadratic graphs and recognise
that this will result in a parabola.
Plot graphs of equations that correspond to
straight-line graphs in the coordinate plane; use
the form y = mx + c to identify parallel and
perpendicular lines; find the equation of the line
through two given points, or through one point
with a given gradient. Calculate the gradient of a
given straight line. Calculate the gradient of a
Plot coordinates in all four quadrants.
Substitute into formulas with 2 variables.
Plot and recognise lines in the form x = a
and y = b.
Plot quadratic graphs and recognise that
they will always result in a parabola.
Use conversion and other similar graphs.
Understand difference between a negative
and positive gradient.
Give definitions for the key words
sequence, term and position.
Solve problems involving y=mx+c.
Being able to reason proportionally
provide useful life skills.
Pupils learn to cope with new
concepts through perseverance.
.
Mathematics applied in different
cultures and historical aspects of
mathematical development are
developed through investigating
the Fibonacci sequence. Students
are encouraged to discuss the use
of mathematics in cultural symbols
and patters.
Alcester Academy Curriculum Planning: Key Stage 3
straight line given 2 coordinates.
Identify and interpret roots, intercepts, turning
points of quadratic functions graphically.
Reduce a given linear equation in two variables
to the standard form y = mx + c; calculate and
interpret gradients and intercepts of graphs of
such linear equations numerically, graphically
and algebraically. Be able to draw graphs of
quadratic functions using a table of values and
find the turning points and the roots graphically
and be able to find the line of symmetry.
Know that when mm' = -1 two lines are
perpendicular.

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