y10 topic overview with objectives maths
TRANSCRIPT
-
8/13/2019 Y10 Topic Overview With Objectives Maths
1/14
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
-
8/13/2019 Y10 Topic Overview With Objectives Maths
2/14
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)
-
8/13/2019 Y10 Topic Overview With Objectives Maths
3/14
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
-
8/13/2019 Y10 Topic Overview With Objectives Maths
4/14
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
-
8/13/2019 Y10 Topic Overview With Objectives Maths
5/14
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
-
8/13/2019 Y10 Topic Overview With Objectives Maths
6/14
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
-
8/13/2019 Y10 Topic Overview With Objectives Maths
7/14
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
-
8/13/2019 Y10 Topic Overview With Objectives Maths
8/14
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
-
8/13/2019 Y10 Topic Overview With Objectives Maths
9/14
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
CONSTRUCTIONS AND PROPERTIES OF SHAPES Constructing perpendicular and bisectors
CONSTRUCTIONS AND PROPERTIES OF SHAPES Constructing perpendicular and bisectors
CONSTRUCTIONS AND PROPERTIES OF SHAPES Constructing perpendicular and bisectors
7
CONSTRUCTIONS AND PROPERTIES OF SHAPES Loci
CONSTRUCTIONS AND PROPERTIES OF SHAPES Loci
Topic test General topic test
-
8/13/2019 Y10 Topic Overview With Objectives Maths
10/14
8
Winter Break Winter Break
Winter Break Winter Break
Winter Break Winter Break9
Revision packs Revision packs
Revision packs Revision packs
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
-
8/13/2019 Y10 Topic Overview With Objectives Maths
11/14
12
Investigation task Investigation task
Investigation task Investigation task
Investigation task Investigation task
13
Tentamen review Tentamen review
Tentamen review Tentamen review
Tentamen review Tentamen review
14 Work week Work week
Work week Work week
Work week Work week
15
Tentamen week Tentamen week
Tentamen week Tentamen week
Tentamen week Tentamen week
-
8/13/2019 Y10 Topic Overview With Objectives Maths
12/14
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
18
Investigation task Investigation task
Investigation task Investigation task
Investigation task Investigation task
19
POWERS AND SURDSCalculating in standard form
POWERS AND SURDS Understanding and using yxand x
-
8/13/2019 Y10 Topic Overview With Objectives Maths
13/14
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
Allocated Differentiation time; Assessments; Projects Allocated Differentiation time; Assessments; Projects
23Allocated Differentiation time; Assessments; Projects Allocated Differentiation time; Assessments; Projects
-
8/13/2019 Y10 Topic Overview With Objectives Maths
14/14
Allocated Differentiation time; Assessments; Projects Allocated Differentiation time; Assessments; Projects
Allocated Differentiation time; Assessments; Projects Allocated Differentiation time; Assessments; Projects
24
MS. Musical
MS. Musical
MS. Musical
25
Last week of school Last week of school
Last week of school Last week of school
Last week of school Last week of school