Y10 Topic Overview With Objectives Maths

8/13/2019 Y10 Topic Overview With Objectives Maths

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AUTUMN 2013-14 BIRRALEE INTERNATIONAL SCHOOL

MATHEMATICS TOPIC OVERVIEWYEAR 10

Week Lesson Topics Learning Objectives

35

H.W.

Puzzles session

Practice National prver paper Complete 1st50 questions.

Practice National prver paper Complete 1st50 questions.

36

H.W.

Origin of number and number systems

Roman Numerals

Understand how the concept of numbers systems evolved.

Know and apply Roman numerals

Create own number systems Be able to create own number systems and apply them. Present these

to class by display.

37

H.W.

Fractions, decimals andpercentages Fractional percentages of amounts

Percentages which convert to recurring decimals (e.g. 333

1 %), and

situations which lead to percentages of more than 100%

Fractions, decimals andpercentages Simple interest calculations

Discuss why reducing a quantity by 10%, and then by 10% again, is not


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the same as reducing a quantity by 20%

Fractions, decimals andpercentages Simple interest calculations (algebraic and calculator use; website

calculator)

Discuss why reducing a quantity by 10%, and then by 10% again, is notthe same as reducing a quantity by 20%

38

H.W.

Fractions, decimals andpercentages Reverse percentages (Pink higher bk pg 15)

Excel use with simple interest calculations

Fractions, decimals andpercentages Excel small interest project

Fractions, decimals andpercentages

39

H.W.

Powers, indices and calculations

Revisit

Calculate with numbers in standard form with/without a calculator

(including practical examples)

Round numbers in standard form to 1sf to estimate/check calculations

(without calculator)

Extended

Practical examples involving very large and/or very small numbers (eg.

examples in astronomy and biology)


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Compare the relative sizes of things using standard form. How much

bigger is an elephant compared to an ant in mm or cm?

Topic test

40

H.W. Essential Algebra

Revisit - Expand and simplify expressions involving more than one pair

of brackets, eg 3(x + 4) 2 (x3); (2x+ 3)(3x4)

Factorise quadratic expression (including the difference of two

squares)

Essential Algebra

Factorise quadratic expression (including the difference of two

squares)

Essential Algebra Simplify algebraic fractions, eg

2 2

2

2 38 28 2 32, ,

4 6 3 3 4

xa x

x x x

41 HALF TERM BREAK

42

H.W.

Essential Algebra

Holiday revisit

Further work on factorising quadratic expressions involving negative

terms and non-unitary coefficient of x2

Further work on factorising quadratic expressions involving negative

terms and non-unitary coefficient of x2


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Simplify algebraic fractions with harder factorisations

43

H.W.

National Test week

National Test week

National Test week

44

H.W.

Coordinates and graphs Add a point to a coordinate grid to complete a given shape

(parallelogram; rhombus; trapezium; square) by coordinates only, not

graphically.

Use the formula to calculate the mid-point of a l ine segment

Coordinates and graphs Understand how to represent points in 1-D, 2-D and 3-D

Write down an equation for a line parallel to the coordinate axes;

Draw a line parallel to the coordinate axes given the equation

Coordinates and graphs Find the value of a in y = ax from the graph of in y = ax (by

considering number pattern in the coordinates)

45

H.W.

Coordinates and graphs Find the value of ain y= axfrom the graph of in y= ax(by

considering number pattern in the coordinates)

Coordinates and graphs Produce a table of values for a l inear relation and plot the points on a


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grid (including fractional coefficients of x)

Coordinates and graphs Consolidation

46

H.W.

Sequences Find and use the nth term of a sequence of numbers/shapes

Find whether a number is part of a given sequence

Sequences Investigate the number patterns in Pascals triangle

Sequences Use algebra to describe real situation, e.g. nquadrilaterals have 4n

sides

47

TENTAMEN WEEK

48

H.W.

Sequences Investigate sequences of triangle numbers, Fibonacci numbers, etc

Sequences Investigate sequences of triangle numbers, Fibonacci numbers, etc


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Sequences Generate sequences on a spreadsheet

49

H.W.

Properties of shapes Name a polygon with 3, 4, ..., 10 sides, and

Identify triangles by their properties (scalene, isosceles, equilateral,

right-angled, obtuse, and acute)

Use the angle properties of triangle to find missing angles

Prove the exterior angle of a triangle is equal to the sum of the two

opposite interior angles

Identify quadrilaterals by their properties (trapezium, parallelogram,

rhombus, rectangle, square, kite and arrowhead)

Properties of shapes Use previous lessons topic to extend project, and create shape

property sequences and link with previous week.

Properties of shapes Use triangles to find the angle sums of polygons

Use the angle properties of triangles to find missing angles in

combinations of triangles

Prove the angle sum in a triangle is 180


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50

H.W.

Angles and Bearings Use alternate and corresponding angles in parallel lines to find missing

angles

Know that a bearing is an angle measured clockwise from North

Work out the bearing of B from A given the bearing of A from B

Bearings lesson projects

51

H.W.

Consolidation and Geogebra use

Topic test

Christmas Mathematics

52 Christmas


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3

Covering

units

from

week

49, not

covered

then.

Properties of shapes Name a polygon with 3, 4, ..., 10 sides, and

Identify triangles by their properties (scalene, isosceles,

equilateral, right-angled, obtuse, and acute)

Use the angle properties of triangle to find missing angles

Prove the exterior angle of a triangle is equal to the sum of the

two opposite interior angles

Identify quadrilaterals by their properties (trapezium,

parallelogram, rhombus, rectangle, square, kite and arrowhead)

Properties of shapes Use previous lessons topic to extend project, and create shape

property sequences and link with previous week.

Properties of shapes Use triangles to find the angle sums of polygons

Use the angle properties of triangles to find missing angles in

combinations of triangles

Prove the angle sum in a triangle is 180

4 Angles and Bearings Use alternate and corresponding angles in parallel lines to find

missing angles

Know that a bearing is an angle measured clockwise from North

Work out the bearing of B from A given the bearing of A from

B


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Bearings lesson projects

5

CONSTRUCTIONS AND PROPERTIES OF SHAPES

Linking properties of shapes with how triangles are

made/constructed.

CONSTRUCTIONS AND PROPERTIES OF SHAPES Constructing triangles, SSS, SAS , SAA.

CONSTRUCTIONS AND PROPERTIES OF SHAPES Constructing perpendicular and bisectors

6




7

CONSTRUCTIONS AND PROPERTIES OF SHAPES Loci

CONSTRUCTIONS AND PROPERTIES OF SHAPES Loci

Topic test General topic test


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8

Winter Break Winter Break

Winter Break Winter Break

Winter Break Winter Break9

Revision packs Revision packs



10Perimeter, Area and Volume Using formulae to find the area of triangles, parallelograms

and trapeziums

Perimeter, Area and Volume Using formulae to find the area of triangles, parallelograms

and trapeziums

Perimeter, Area and Volume Calculating the surface area and volume of cuboid

11

Perimeter, Area and Volume Using the formula to calculate the volume of a prism

Perimeter, Area and Volume Using the formula to calculate the volume of a prism

Perimeter, Area and Volume Using the inverse of formulae to calculate combination shapes

and to calculate the volume of a prism


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12

Investigation task Investigation task



13

Tentamen review Tentamen review



14 Work week Work week

Work week Work week

Work week Work week

15

Tentamen week Tentamen week




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16

Easter Break Easter Break

Easter Break Easter Break

Easter Break Easter Break17

RATIO AND PROPORTION

Writing ratios in their lowest terms by cancelling

Changing a ratio into a fraction

RATIO AND PROPORTIONSharing quantities in a given ratio

Solving problems using direct and inverse proportion

RATIO AND PROPORTION

Using a multiplier raised to a power

Finding the rule connecting quantities using ratio

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POWERS AND SURDSCalculating in standard form

POWERS AND SURDS Understanding and using yxand x


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POWERS AND SURDSExploring growth and decay

20

POWERS AND SURDSUsing surds and to give exact answers

Manipulating expressions with surds

POWERS AND SURDS Manipulating expressions with surds

POWERS AND SURDSFinding bounds of numbers expressed to a given degree of

accuracy

21

SIMPLE LINEAR EQUATIONS AND ALGEBRA

Solving linear equations by balancing

Using the terms expressions, equation and identity

SIMPLE LINEAR EQUATIONS AND ALGEBRASetting up and solving equationsSolving equations expressed as algebraic fractions

SIMPLE LINEAR EQUATIONS AND ALGEBRAUsing indices notation

Substituting values into expressions

22Allocated Differentiation time; Assessments; Projects Allocated Differentiation time; Assessments; Projects

Allocated Differentiation time; Assessments; Projects Allocated Differentiation time; Assessments; Projects


23Allocated Differentiation time; Assessments; Projects Allocated Differentiation time; Assessments; Projects


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24

MS. Musical

MS. Musical

MS. Musical

25

Last week of school Last week of school



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Y10 Topic Overview With Objectives Maths