y9 topic overview with objectives maths

8/13/2019 Y9 Topic Overview With Objectives Maths

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AUTUMN 2013-14 BIRRALEE INTERNATIONAL SCHOOL

MATHEMATICS TOPIC OVERVIEWYEAR 9Week Lesson Topics Learning Objectives

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Powers Indices and Calculations (Chapter 3)

Bidmas intro (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

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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

-

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.


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.


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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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%.

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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

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Topic Test

ICT integrated lesson

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HALF TERM BREAK

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National test Revision



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National

Prver

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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)

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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

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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

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TENTAMEN WEEK


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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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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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LINEAR GRAPHS continued real life context



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Topic test

Consolidation


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Consolidation

52Christmas Christmas

2 Properties of shapes Ch7

Properties of shapes Ch7


3Topic review Overall topic review

Topic review Overall topic review

Topic review Overall topic review

4


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

y9 topic overview with objectives maths

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