Download Topic Lesson Widget HOTsheet Table of Contents

Table of Contents
Topic
Number notations
Earning money
Middle Secondary
Lesson
Widget
Significant figures & rounding
Rounding to significant figures
How accurate is it?
Scientific notation
Writing in scientific notation
From scientific notation into basic numerals
Comparing numbers in scientific notation
Large and small units
Exploring recurring decimals
Exploring recurring decimals
Patterns in recurring decimals
Converting rates
Racing cars
Common conversions
Wages & salaries
Understanding job advertisements
Extra earnings
Relying on commission for income
Part-time work
Timesheets
Spreadsheets and timesheets
Tax & other deductions
Using a tax table
Budgeting
Buying, borrowing, investing
Best buys, discounts, sales tax
Understanding tax brackets from tables
Gains from superannuation
Living away from home
Comparing discounts
Buying on credit
Indices
HOTsheet
Best buys
GST
Credit card payments and balances
Simple interest
Simple interest formula
Spreadsheets and simple interest tables
Savings accounts
Compound interest
Simple vs compound interest
The effect of compounding interest
Comparing compound and simple interest
Compound interest formula
Comparing compound interest periods
Deriving the compound interest formula
Depreciation
The effect of depreciation
Exploring depreciation
Loans
Exploring a variable interest home loan
Home loan repayments
Multiply and divide terms with powers
Multiplying and dividing with indices
Developing the index law for multiplication
Developing the index law for division
Investigating the zeroth power
Powers upon powers
Checking solutions using index rules
Squaresaw puzzle: Combining the laws
Negative indices & reciprocals
What do negative indices mean?
Index laws and negative indices
Testing for equivalent expressions
Fractional indices & roots
The meaning of fractional indices
Exploring fractional indices
Squaresaws with fractional indices
1
Topic
Algebraic expressions
Lesson
Widget
Add & subtract algebraic fractions
Adding and subtracting algebraic fractions’
Which common denominator?
What was the question?
Multiply & divide algebraic fractions
Multiplying algebraic fractions
Missing bits
Expanding & simplifying
Expanding with negatives
Expanding and simplifying algebraic expressions
Checking and practical applications
Factorising
Factor numbers
Factor numbers and pronumerals
Checking your factorisation
Extending algebraic fractions
Add mixed algebraic fractions
Numerators with two terms
Combine tricky algebraic fractions
Numerators with two terms
Using algebra
Linear equations & inequalities
Simultaneous equations
Algebra from statements
Algebra and spreadsheets
Solving linear equations
Guessing and checking
Checking solutions to linear equations
Equations with brackets
Solving equations with brackets
Using spreadsheets to solve linear equations
Techniques in solving linear equations
Equations with fractions
Equations with one fraction
Equations with two fractions
What went wrong?
Equations with algebraic denominators
Problems & formulas
Using formulas in a light circuit
Finding values of pronumerals in formulas
Use an equation to solve a problem
Inequalities
Solving inequalities
Inequalities in different forms
Extending inequalities
Checking solutions to inequalities
Compare methods of solving inequalities
Using inequalities for solving problems
Graphs, tables or guess and check
Discovering where lines cross
Guess and check simultaneous equations
Investigating simultaneous equations
Using the substitution method
Sample solutions
Solving by substitution
Using the elimination method
Elimination of a common term
Elimination without a common term
Solving by elimination
Creating a common term
Solving problems simultaneously
Surds
HOTsheet
Choosing your method
Creating equations to solve problems
Reals, rationals and surds
Surds on the number line
Surds and your calculator
Operations with surds
Testing surd operations
Adding and subtracting surds
Rewriting surds
Simplifying surds
Entire surds
Rationalising and simplifying
Binomial surds
Product of binomial surds
Multiplying conjugates
2
Topic
Quadratic expressions
Quadratic equations
Lesson
Widget
HOTsheet
Expanding binomial products
Expanding using two separate brackets
Expanding a term at a time
Describing a pattern
Analysing expansions
Factorising monic quadratics
Decisions when factorising
Examining factors
Factorising non-monic quadratics
The cross method
Procedure for factoring non-monics
Let me count the ways
A search for psi and omega
Special products and factors
Creating perfect squares
The difference of squares
Perfect squares
Other factorizations
Puzzling common factors
Combining skills
Simplifying using factors
Fiddling with fractions
How many solutions?
Locating solutions
Examining solutions
Solving using factors
Factorise and solve
Exploring solutions and factors
Problematic
Completing the square
Solving by completing the square
Using perfect squares
Triangular number formula
The quadratic formula
Deriving the formula
Exploring the quadratic formula
Comparing methods
Simultaneous solutions
Guess and graph solutions
Reading solutions from graphs
Visual vs symbolic
Number plane: Calculations
Number plane: Straight lines
Number plane: Curves
Midpoint
Locating the midpoint
Extending understanding of the midpoint
Distance using graphs
Calculating distances
Calculating the distance between two points
Gradient using graphs
Calculating gradient
Exploring gradient
Distance formula
Distance using the formula
Using the distance formula
Investigating distance
Gradient formula
Gradient using the formula
Using the gradient formula
Slopes & intercepts
Describing slope
Special lines
Tables to graph lines
Graphing a line
Where is the point?
Equation/graph match-up
Download costs
Reading the equation
Comparing lines and equations
Line it up
Mix and match equations and graphs
Gradient intercept graphs
Graphing using the gradient
Rearranging linear equations
Graphing lines using rise and run
Rearrange and graph equations
Linear quotations from graphs
Equation of line from the graph
What is the equation
Plotting curves
Graphing a curve
Exploring types of curve
Square grid paper
Parabolas
Graphing parabolas
Investigating parabolas
Parabola match-up
Hyperbolas
Graphing hyperbolas
Comparing hyperbolas
Graphing a basic hyperbola
Matching graphs
3
Topic
Perimeter & area
Volume
Surface area
Trigonometry: Introduction
Trig: Minutes & bearings
Lesson
Widget
HOTsheet
Perimeter & arcs
Calculating the length of an arc
Arc length and subtended angle
Area of a kite & a rhombus
Determining the area of a kite
Deriving the area of a kite
Area of a trapezium
Determining the area of a trapezium
Investigating the area of a trapezium
Areas of parts of circles
Areas of sectors
Exploring areas of sectors
Volumes of prisms & cylinders
Finding the volume of any prism
Reviewing area and calculating volumes
Comparing volumes
Volumes of pyramids
How pyramids relate to prisms
Comparing volumes of prisms and pyramids
Calculating pyramid volumes
Old and new mathematics
Volumes of cones
How many cones to the cylinder?
Comparing right and oblique cones
Constructing cones
Investigating cones
Volumes of spheres
Calculating the volume of a sphere
The relationship of volume and radius
The sphere and the cube
Surface area of Prisms
Surface area of a triangular prism
Surface area of a pentagonal prism
Nets of prisms and areas of faces
Does this formula work?
Surface area of Cylinders
Surface area of a cylinder
Derive the formula
Surface area of familiar cylinders
Surface area of Pyramids
Surface area of a rectangular pyramid
Surface area from nets
Surface area of Cones & spheres
Calculations with cones
Calculating surface area of cones
The sphere and the cylinder
Naming the sides
Naming sides in right-angled triangles
Find-a-Word
The tangent ratio
Exploring the tangent ratio
Investigating the tangent ratio
Using the tangent ratio
Finding the length of the opposite side
Finding the length of the adjacent side
Does trigonometry really work
The sine & cosine ratios
Exploring the sine and cosine ratios
Investigating the sine and cosine ratios
Side lengths using any ratio
Selecting a trig ratio
Which ratio?
Calculating angles
Comparing tangent ratio and angle size
Predicting the angle
Ratio reckoning
Applying trigonometry
Plane table surveying
Using a clinometer
Clinometer
Splitting the degree
Why 360 degrees?
Sides & angles
Diagrams and problem solving
What are bearings?
Estimating compass bearings
Getting your bearings in New South Wales
Reading the compass rose
Bearings in New South Wales
360 degree compass for overhead projector
Compass and three-figure bearings
Using bearings
X marks the spot
Using bearings and trigonometry
Using bearings to calculate distances
Calculating bearings
4
Topic
Trigonometry beyond right triangles
Reasoning in geometry
Probability
Data collection
Data analysis
Lesson
Widget
HOTsheet
The unit circle
Plotting sine and cosine curves
Trig curves from unit circle
Estimating sine and cosine
Graphs of trig equations
Related ratios
Related angles
Exact ratios
Trig relationships
Proof of sin2 0 + cos2 0 = 1
Linking sine, cosine and tangent
Comparing gradient and tangent ratios
Area using trig
Determining the area formula
The formula in right triangles
Finding the angle
Sine rule
Proving the sine rule
Testing the sine rule
Exploring the sine rule
Sine rule applications
Cosine rule
Proving the cosine rule
Exploring the cosine rule
Combining trigonometric rules
Angles in polygons
Polygon slices
Turtle walk
Exterior angles of polygons
Angle sum
Round the window
Tests for congruent triangles
Constructing triangles
Straw triangles
Making a triangular window
Writing reasons
Geometry with reasoning
Mix and match reasoning
Completing an argument
Similar triangles
Similar triangle calculator
Family portrait
Measuring the immeasurable
The pentagram
Relative frequency
Laughing clown
Calculating relative frequencies
The clown game
Using relative frequency
Marble mania
Fishing for data
The marble game
Gone fishing
Hidden counters
Calculating probability
The spinner tree
Collecting random colours
Theory vs experiment
Can you predict what you will get?
Cumulative frequency
Completing the cumulative frequency column
Organising and analyzing
Cumulative frequency histograms
Creating cumulative frequency histograms
Tables, histograms and ogives
Histograms for grouped data
Changing class intervals
Comparing class intervals
Using a spreadsheet with class intervals
Centres for grouped data
Mean of grouped data
Which mobile phone plan?
Box-and-whisker plots
Box-and-whisker plot
Creating boxplots
Comparing data
Standard deviation & distribution
Measures of spread
Statistical spreads
Match, rank and classify
5
Topic
Bivariate Data
Lesson
Widget
HOTsheet
Distance/time graphs
Graphing the burger run
Replicating the journey
Graphing the story
Telling the story
Other line graphs
Dunking machine
Dunking machine stories
Sketch and match
Graphs with curves
Graphs of filling/emptying containers
Match graphs and vessels
Pendulum
Drawing graphs from scenarios
6