Download stage 5 mathematics 5 - St Mark`s Catholic College

STAGE 5 MATHEMATICS 5.3 YEAR 10 SCOPE & SEQUENCE 2010
WEEK
TERM 1
1
Indices: ( 2 week)
Applies index laws to simplify
and evaluate arithmetic
expressions and uses scientific
notation to write large and
small numbers.Performs
operations with surds and
indices . Simplifies, expands
and factorises algebraic
expressions involving
fractions and negative and
fractional indices.
2
STRANDS: Number Skills
NS5.3.1
WMS5.3.1, WMS5.3.2,
WMS5.3.3, WMS5.3.4,
WMS5.3.5
3
4
TERM 2
Deductive Geometry
( 5 week) Constructs arguments to
prove geometrical results.Determines
properties of triangles and
quadrilaterals using deductive
reasoning.Constructs geometrical
arguments using similarity tests for
triangles
STRAND: Space and Geometry
SGS5.3.1, SGS5.3.2, SGS5.3.3
WMS5.3.1, WMS5.3.2, WMS5.3.3,
WMS5.3.4, WMS5.3.5
TERM 3
Coordinate Geometry
(1 week)
Draws and interprets a variety of
graphs including parabolas, cubics,
exponentials and circles and applies
coordinate geometry techniques to
solve problems
Graphs of Physical
Phenomena ( 1 week )
STRAND: Patterns and Algebra
PAS5.3.5 WMS5.3.1, WMS5.3.2,
WMS5.3.3, WMS5.3.4, WMS5.3.5
Trigonometry
(5 weeks)
Solves linear, quadratic and
simultaneous equations, solves
and graphs inequalities, and
rearranges literal equations.
Uses various standard forms
of the equation of a straight
line and graphs regions on the
number plane.
Applies trigonometry to solve
problems including those involving
bearings.
Applies trigonometric relationships,
sine rule, cosine rule and area rule in
problem solv
STRAND: Measurement
MS5.2.3, MS5.3.2
WMS5.3.1, WMS5.3.2, WMS5.3.3,
WMS5.3.4, WMS5.3.5
5
Solves probability
problems involving
compound events.
STRANDS: Number
Skills
NS5.2.2
WMS5.3.1, WMS5.3.2,
WMS5.3.3, WMS5.3.4,
WMS5.3.5
Revision
BOS sites, revising
techniques
Revision timings,
practise papers.
STRANDS:
Patterns and Algebra
PAS5.3.2, PAS5.3.3,
PAS5.3.4, PAS5.3.5
SGS5.2.2, SGS5.3.1,
SGS5.3.2, SGS5.3.3
Number Skills
NS5.3.2, NS5.2.2, NS5.3.1
Data
DS5.2.1
Measurement
MS5.2.2,
MS5.2.3,MS5.3.1,MS5.3.2
SC EXAM
6
Surface Area and Volume
7
8
Properties of
Geometrical Figures
9
(3 weeks)
Develops and applies results
for proving that triangles are
congruent or similar.
Constructs arguments to prove
geometrical results.
Determines properties of
triangles and quadrilaterals
using deductive .Reasoning.
Constructs geometrical
arguments using similarity
tests for triangles.
STRAND: Space and
Geometry
SGS5.2.2
WMS5.3.1, WMS5.3.2,
WMS5.3.3, WMS5.3.4,
WMS5.3.5
11
( 2 weeks)
Space and Geometry
STRAND:Patterns and
Algebra
PAS5.3.2, PAS5.3.3
WMS5.3.1, WMS5.3.2,
WMS5.3.3, WMS5.3.4,
WMS5.3.5
10
Probability
STRAND:Patterns and Algebra
PAS5.3.4
WMS5.3.1, WMS5.3.2, WMS5.3.3,
WMS5.3.4, WMS5.3.5
Analyses and describes graphs of
physical phenomena
Algebra and Linear
equations:( 4 weeks)
TERM 4
( 4 weeks)
Applies formulae to find the surface
area of right cylinders and volume of
right pyramids, cones and spheres and
calculates the surface area and volume
of composite solids.
Applies formulae to find the surface
area of pyramids, right cones and
sphere.
STRAND: Measurement
MS5.2.2, MS5.3.1
Curve Sketching
and Polynomials:
Data Analysis and
Evaluation: ( 2 weeks)
Uses the interquartile range and
standard deviation to analyse data
WMS5.3.1, WMS5.3.2, WMS5.3.3,
WMS5.3.4, WMS5.3.5
STRAND: Data
Coordinate Geometry
Consumer Arithmetic:
( 2 weeks)
Draws and interprets a variety of
graphs including parabolas, cubics,
exponentials and circles and applies
coordinate geometry techniques to
solve problems
STRAND: Patterns and Algebra
PAS5.3.4 WMS5.3.1, WMS5.3.2,
WMS5.3.3, WMS5.3.4, WMS5.3.5
(1 week)
Solves consumer arithmetic problems
involving compound interest,
depreciation and successive discounts.
STRANDS: Number Skills
NS5.2.2
WMS5.3.1, WMS5.3.2, WMS5.3.3,
WMS5.3.4, WMS5.3.5
DS5.2.1
WMS5.3.1, WMS5.3.2, WMS5.3.3,
WMS5.3.4, WMS5.3.5
( 4 weeks)
Uses a variety of
techniques to sketch a
range of curves and
describes the features of
curves from the equation.
Recognises, describes and
sketches polynomials, and
applies the factor and
remainder theorems to
solve problems.
Describes, interprets and
sketches functions and
uses the definition of a
logarithm to establish and
apply the laws of
logarithms.
STRAND:Patterns and
Algebra
PAS5.3.2, PAS5.3.3
WMS5.3.1, WMS5.3.2,
WMS5.3.3, WMS5.3.4,
WMS5.3.5