Y9 Topic Overview With Objectives Maths
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AUTUMN 2013-14 BIRRALEE INTERNATIONAL SCHOOL
MATHEMATICS TOPIC OVERVIEWYEAR 9Week Lesson Topics Learning Objectives
35
H.W
Powers Indices and Calculations (Chapter 3)
Bidmas intro (Chapter 3)
Powers Indices and Calculations (Chapter 3)
Consolidation Bidmas (Chapter 3)
Integers (Chapter 1)
Factors
HCF, LCM
Prime n.; Prime factorisation
- Be able to Identifying factors and multiple of numbers
- Be able to prime factorise a term
- Find LCM and HCF
36
H.W
Powers Indices and Calculations (Chapter 3)Squares and cubes; square roots and cube roots, using a
calculator.
Squares, cubes and roots to memorise.
Index notation and laws
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Work out squares; cubes; square roots; cube roots of numbers,with and without a calculator (including the use of trial and
improvement.=trial and error
- Be able to memorise some important Squares, cubes, roots.
- Be able to identify index notation and learn all index laws.
Powers Indices and Calculations (Chapter 3)
Index notation exercises and standard form
- Being able to identify index laws, and the relevance to standard
form.
- To be able to convert numbers into standard form.
- To be able to use standard form in written calculations.
Powers Indices and Calculations (Chapter 3)
Standard form
Calculator work
- Revisit standard form notation and calculations
- Be able to use a calculator efficiently, typing data correctly and
using Bidmas to help.
37 Fractions decimals Percentages (Chapter 2)
Converting improper fractions to mixed numbers and vice
versa.
- Understand a fraction as part of a whole
- Recognise and write fractions in everyday situations
- Write a fraction in its simplest form and recognise equivalent
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H.W
Finding equivalent fractions in their simplest form.
Ordering fractions by converting them to equivalent
fractions with the same number.
fractions
- Compare the sizes of fractions using a common denominator
Write an improper fraction as a mixed fraction.
Fractions decimals Percentages (Chapter 2)
Converting between fractions and decimals.
Rounding whole numbers and decimals to 1s.f.
Estimating by rounding all numbers in a calculation to 1s.f.
Rounding up or down in the context of the problem.
Using trial and improvement where there is no obvious
simple method.
- Convert a fraction to a decimal (including recurring numbers);
convert a decimal to a fraction (not including recurring decimals)
- Round whole numbers and decimal numbers to 1s.f. and calculate an
estimate (including practical examples) to check their calculations.
- Solve problems by trial and improvement to solve practical
problems.
Fractions decimals Percentages (Chapter 2)
Ordering fractions by converting to percentagesPercentages of quantities
- Percentages which convert to recurring decimals (e.g. 333
1 %), and
situations which lead to percentages of more than 100%.
- Simple interest calculations.
- Discuss why reducing a quantity by 10%, and then by 10% again, isnot the same as reducing a quantity by 20%.
38
H.W
Coordinates and essential algebra
Reading and plotting coordinates
Reading and plotting positive and negative coordinatesFinding the coordinates of the final point to make a shape
-Plot and read coordinates on a coordinate grid (in all four quadrants)
-Understand that one coordinate identifies a point on a line, two
coordinates identify a point in a plane and three coordinates identify
a point in space, and use the terms 1-D, 2-D and 3-D
-Find the coordinates of a third point to complete an isoscelestriangle
-Find the coordinates of the fourth vertex of a parallelogram,
trapezium, rhombus and kite
Coordinates and essential algebra
Finding the mid-point of a linear function
-Use the mid-point formula to work out the coordinates of the mid-
point of the line connecting two point with given coordinates
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Using the formula to find the coordinates of the mid-
point
Identifying 2-D and 3-D shapes; using 3-D coordinates
-Identify the coordinates of the vertex of a cuboid on a 3-D grid.
Coordinates and essential algebra Coordinates and essential algebra
39
H.W
Coordinates and essential algebra Coordinates and essential algebra
Coordinates and essential algebra Coordinates and essential algebra
Coordinates and essential algebra Coordinates and essential algebra
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H.W
Topic Test
ICT integrated lesson
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HALF TERM BREAK
42
H.W
National test Revision
National test Revision
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National test Revision
43
National
Prver
H.W
National Test
COORDINATES AND ESSENTIAL ALGEBRA
Using letters to represent numbersSimplifying expressions by collecting like terms
Multiplying expressions and simplifying the result
Write simple algebraic expressions, e.g. 5 less than xSimplify algebraic expressions in one, or more like terms, by
adding and subtracting, e.g. simplify 2x+ 3 + 3x1
Multiply letters and numbers, e.g. simplify 3x4y
Order of operations in calculations with brackets
Multiplying a single term over a bracket
Simplifying expressions with brackets
Simplify expressions involving one, or two, pairs of brackets,
e.g. 4(a+ 3b) + 2(ab) and (x+ 3)(x2)
44
H.W
Write a common factor outside the bracket
The product of two brackets
Cancelling common factors in algebraic fractions
Factorise expressions involving one pair of brackets, e.g. ap+4a
Simplify algebraic fractions, e.g. 4ab/b.
COORDINATES AND ESSENTIAL ALGEBRA COORDINATES AND ESSENTIAL ALGEBRA
COORDINATES AND ESSENTIAL ALGEBRA COORDINATES AND ESSENTIAL ALGEBRA
45
H.W
Sequences (Chapter 5)
Generating sequences and finding rules
Generate a sequence from a rule, e.g. given first term = 25, and
rule = subtract 5
Find the rule and continue the number pattern or sequence
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Number sequences from shape Relate the term in a sequence to its position, e.g. multiply term
number by 2 and add 1
Continue a sequence when the sequence is a pattern of shapes
Generating number sequences and finding the nth
termFinding the number of matchsticks in pattern number
n
Find and use the nth term of a sequence of numbers/shapes
Find whether a number is part of a given sequence
Use a calculator to produce a sequence of numbers.
Generating number sequences and finding the nth
term
Finding the number of matchsticks in pattern number
n
Find and use the nth term of a sequence of numbers/shapes
Find whether a number is part of a given sequence
Use a calculator to produce a sequence of numbers.
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H.WSequences (Chapter 5) Continued
ICT integrated lesson
Sequences (Chapter 5)
Consolidation
47
H.W
TENTAMEN WEEK
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H.W
LINEAR GRAPHS
Straight line parallel to the axes
Straight line passing through the origin
- Draw a line parallel to the axis from given coordinates.
- Write down the equation of a line parallel to the
coordinate axes, e.g. y= 5.
Graphs of linear functions Find the value of ain y= axfrom the graph of in y= ax(byconsidering number pattern in the coordinates).
aphs of linear functionsFind the value of ain y= axfrom the graph of in y= ax(by
considering number pattern in the coordinates).
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H.W
aphs of linear functionsProduce a table of values for a linear relation and plot the points on a
grid (including fractional coefficients of x).
raight line graphs in real life Identify and use linear relations in real-life contexts, e.g. conversion
graphs.
raight line graphs in real life Identify and use linear relations in real-life contexts, e.g. conversion
graphs.
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H.W
LINEAR GRAPHS continued real life context
LINEAR GRAPHS continued real life context
LINEAR GRAPHS continued real life context
51
H.W
Topic test
Consolidation
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Consolidation
52Christmas Christmas
2 Properties of shapes Ch7
Properties of shapes Ch7
Properties of shapes Ch7
3Topic review Overall topic review
Topic review Overall topic review
Topic review Overall topic review
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Properties of shapes Ch7
Definitions and names of polygons
Definitions and notation for parallel and perpendicular lines
Properties of triangles
Properties of quadrilaterals
Drawing on isometric grids
Properties of shapes Ch7 Exploring Triangles, angles, lines, cubes and cuboids
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Properties of shapes Ch7 Exploring Triangles, angles, lines, cubes and cuboids
5Properties of shapes Ch7 Properties of circles
Properties of shapes Ch7 Norwegian terms association
Properties of shapes Ch7 Drawing on isometric grids
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Angles and Bearings Ch8
Acute, obtuse and reflex angles
Angles on a straight line
Angles meeting at a point
Angles and Bearings Ch8Angles in parallel lines
Proofs of angle properties of parallelogram and triangle
Angles and Bearings Ch8Proofs of angle properties of parallelogram and triangle
Bearings
7Revision
Revision
Topic test
8Winter Break Winter Break
Winter Break Winter Break
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16Easter Break Easter Break
Easter Break Easter Break
Easter Break Easter Break17
Statistics - COLLECTING DATA Types of samples
Statistics - COLLECTING DATA Writing questions for questionnaires; eliminating bias
Statistics - COLLECTING DATA Designing and using data capture sheets
18 Statistics - COLLECTING DATA Designing and using two-way tables for data capture
Statistics - REPRESENTING AND PROCESSING DATA Drawing and interpreting bar charts and pictograms
Statistics - REPRESENTING AND PROCESSING DATA Drawing and interpreting pie chart and line graphs
19Statistics - REPRESENTING AND PROCESSING DATA Drawing and interpreting stem and leaf diagrams
Statistics - REPRESENTING AND PROCESSING DATA Drawing and interpreting bar charts and pictograms
Statistics - REPRESENTING AND PROCESSING DATA Drawing and interpreting frequency polygons
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20Statistics - AVERAGES AND SPREAD Calculating statistics for small data sets
Statistics - AVERAGES AND SPREAD Calculating statistics for small data sets
Statistics -AVERAGES AND SPREAD Calculating statistics for small data sets
21Statistics -AVERAGES AND SPREAD Calculating statistics for discrete frequency distribution
Statistics -AVERAGES AND SPREAD Calculating statistics for discrete frequency distribution
Statistics -AVERAGES AND SPREAD Calculating statistics for discrete frequency distribution
22 Statistics -AVERAGES AND SPREAD Calculating statistics for continuous grouped data
Statistics -AVERAGES AND SPREAD Calculating statistics for continuous grouped data
Statistics -AVERAGES AND SPREAD Calculating statistics for continuous grouped data
23Flexible week for review and consolidation Flexible week for review and consolidation
Flexible week for review and consolidation Flexible week for review and consolidation
Flexible week for review and consolidation Flexible week for review and consolidation
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24MS. Musical
MS. Musical
MS. Musical
25Last week of school Last week of school
Last week of school Last week of school
Last week of school Last week of school