New signpost mathematics enhanced 9. Stage 5.1-5.3

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	Contents
	Features of New Signpost Mathematics Enhanced
	Treatment of Outcomes
	Metric Equivalents
	The Language of Mathematics
	Algebra Card
	Chapter 1 Basic Skills and Number
		1:01 The language of mathematics
		1:02 Diagnostic tests
			A Integers
			B Fractions
			C Decimals
			D Percentages
		1:03 Conversion facts you should know
			What was the prime minister’s name in 1978?
		1:04 Rational numbers
		1:05 Recurring decimals
			Try this with repeating decimals
			Speedy addition
		1:06 Simplifying ratios
		1:07 Rates
			Comparing speeds
		1:08 Significant figures
		1:09 Approximations
		1:10 Estimation
			Take your medicine!
		1:11 Angles Review
		1:12 Triangles and quadrilaterals
		Maths terms • Diagnostic test • Revision assignment • Working mathematically
	Chapter 2 Working Mathematically
		2:01 Solving routine problems
			A Rates
			B Ratio
			C Dividing a quantity in a given ratio
			Mixing drinks
			D Percentages
			E Measurement
		2:02 Solving non-routine problems
			What nationality is Santa Claus?
			Line marking
		2:03 Using Venn diagrams (extension)
			Venn diagrams
			What kind of breakfast takes an hour to finish?
			The Syracuse Algorithm
		Maths terms • Revision assignment • Working mathematically
	Chapter 3 Algebraic Expressions
		3:01 Generalised arithmetic
			Let’s play with blocks
		3:02 Substitution
			The history of algebra
		3:03 Simplifying algebraic expressions
		3:04 Algebraic fractions
			A Addition and subtraction
			B Multiplication and division
			Try this maths-word puzzle
		3:05 Simplifying expressions with grouping symbols
			What is taken off last before you get into bed?
		3:06 Binomial products
		3:07 Special products
			A Perfect squares
			The square of a binomial
			B Difference of two squares
		3:08 Miscellaneous examples
			Patterns in products
			Using special products in arithmetic
		Maths terms • Diagnostic test • Revisionassignment • Working mathematically
	Chapter 4 Probability
		4:01 Describing your chances
			Throwing dice
		4:02 Experimental probability
			Tossing a coin
			Chance experiments
		4:03 Theoretical probability
			Computer dice
			Chance happenings
		4:04 The addition principle for mutually exclusive events
			Probability: An unusual case
			What are Dewey decimals?
			Chance in the community
		Maths terms • Diagnostic test • Revision assignment • Working mathematically
	Chapter 5 Deductive Geometry
		5:01 Deductive reasoning in numerical exercises
			A Exercises using parallel lines
			B Exercises using triangles
			C Exercises using quadrilaterals
		5:02 Polygons
			The angle sum of a polygon
			The exterior angle sum of a convex polygon
			Regular polygons and tessellations
			Spreadsheet
			The game of Hex
		5:03 Deductive reasoning in non-numerical exercises
		5:04 Congruent triangles
		5:05 Proving two triangles congruent
		5:06 Using congruent triangles to find unknown sides and angles
		5:07 Deductive geometry and triangles
		5:08 Deductive geometry and quadrilaterals
			Theorems and their converses
			What do you call a man with a shovel?
		5:09 Pythagoras’ theorem and its converse
			Proving Pythagoras’ theorem
		Maths terms • Diagnostic test • Revision assignment • Working mathematically
	Chapter 6 Indices and Surds
		6:01 Indices and the index laws
			Exploring index notation
			Family trees
		6:02 Negative indices
			Zero and negative indices
		6:03 Fractional indices
			Why is a room full of married people always empty?
			Reasoning with fractional indices
		6:04 Scientific (or standard) notation
			Multiplying and dividing by powers of 10
		6:05 Scientific notation and the calculator
			Using scientific notation
		6:06 The real number system
			Proof that square root is irrational
			f-stops and square root
		6:07 Surds
		6:08 Addition and subtraction of surds
		6:09 Multiplication and division of surds
			Iteration to find square roots
		6:10 Binomial products
		6:11 Rationalising the denominator
			What do Eskimos sing at birthday parties?
			Rationalising binomial denominators
		Maths terms • Diagnostic test • Revision assignment • Working mathematically
	Chapter 7 Measurement
		7:01 Perimeter
			Staggered starts
			Skirting board and perimeter
		7:02 Review of area
			Why is it so noisy at tennis?
			Covering floors
		7:03 Surface area of prisms and cylinders
			How did the boy know that he had an affinity with the sea?
		7:04 Surface area of composite solids
			Truncated cubes
		7:05 Volume of prisms, cylinders and composite solids
			Perimeter, area and volume
		7:06 Practical applications of measurement
			Wallpapering rooms
		Maths terms • Diagnostic test • Revision assignment • Working mathematically
	Chapter 8 Equations, Inequations and Formulae
		8:01 Equivalent equations
		8:02 Equations with grouping symbols
			If I have 7 apples in one hand and 4 in the other, what have I got?
			Solving equations using a spreadsheet
		8:03 Equations with fractions (1)
			Who holds up submarines?
		8:04 Equations with fractions (2)
			Equations with pronumerals in the denominator
		8:05 Solving problems using equations
			Who ‘dunnit’?
		8:06 Inequations
			Operating on inequations
			Read carefully (and think!)
		8:07 Formulae: Evaluating the subject
			Spreadsheet formulae
		8:08 Formulae: Equations arising from substitution
		8:09 Solving literal equations (1)
		8:10 Solving literal equations (2)
		8:11 Solving problems with formulae
			Why are cooks cruel?
		Maths terms • Diagnostic test • Revision assignment • Working mathematically
	Chapter 9 Consumer Arithmetic
		9:01 Working for others
		9:02 Extra payments
			Jobs in the papers
		9:03 Wage deductions
		9:04 Taxation
			Income tax returns
			What is brought to the table, cut, but never eaten?
		9:05 Budgeting
		9:06 Best buy, shopping lists and change
		9:07 Goods and services tax (GST)
			Shopper dockets
		9:08 Ways of paying and discounts
			The puzzle of the missing dollar
		9:09 Working for a profit
			Let’s plan a disco
		Maths terms • Diagnostic test • Revision assignment • Working mathematically
	Chapter 10 Coordinate Geometry
		10.01 The distance between two points
		10.02 The midpoint of an interval
		10.03 The gradient of a line
			Gradients in building
		10.04 Graphing straight lines
			What is the easiest job in a watch factory?
		10.05 The gradient–intercept form of a straight line: y=mx+b
			What does y=mx+b tell us?
		10.06 The equation of a straight line, given point and gradient
		10.07 The equation of a straight line, given two points
		10.08 Parallel and perpendicular lines
		10.09 Graphing inequalities on the number plane
			Why did the banana go out with a fig?
		Maths terms • Diagnostic test • Revision assignment • Working mathematically
	Chapter 11 Factorising Algebraic Expressions
		11:01 Factorising using common factors
		11:02 Factorising by grouping in pairs
		11:03 Factorising using the difference of two squares
			The difference of two cubes
		11:04 Factorising quadratic trinomials
			How much logic do you have?
		11:05 Factorising further quadratic trinomials
			Another factorising method for harder trinomials
		11:06 Factorising: Miscellaneous types
			What did the caterpillar say when it saw the butterfly?
		11:07 Simplifying algebraic fractions: Multiplication and division
		11:08 Addition and subtraction of algebraic fractions
		Maths terms • Diagnostic test • Revision assignment • Working mathematically
	Chapter 12 Statistics
		12:01 Frequency and cumulative frequency
		12:02 Analysing data (1)
			Codebreaking and statistics
		12:03 Analysing data (2)
			Which hand should you use to stir tea?
			Adding and averaging
		12:04 Grouped data
			The aging population
		Maths terms • Diagnostic test • Revision assignment • Working mathematically
	Chapter 13 Simultaneous Equations
		Solving problems by ‘guess and check’
		13:01 The graphical method of solution
			Solving simultaneous equations using a graphics calculator
			What did the book say to the librarian
		13:02 The algebraic method of solution
			A Substitution method
			B Elimination method
		13:03 Using simultaneous equations to solve problems
			Breakfast time
		Maths terms • Diagnostic test • Revision assignment • Working mathematically
	Chapter 14 Trigonometry
		14:01 Right-angled triangles
		14:02 Right-angled triangles: the ratio of sides
		14:03 The trigonometric ratios
		14:04 Trig. ratios and the calculator
			The exact values for the trig. ratio of 30°, 60° and 45°
		14:05 Finding an unknown side
		14:06 Finding an unknown angle
		14:07 Miscellaneous exercises
		14:08 Problems involving two right triangles
			What small rivers flow into the Nile?
		Maths terms • Diagnostic test • Revision assignment • Working mathematically
	Chapter 15 Graphs of Physical Phenomena
		15:01 Distance/time graphs
			A Linear graphs
			Graphing coins
			Can you count around corners?
			B Non-linear graphs
			Rolling down an inclined plane
		15:02 Relating graphs to physical phenomena
			Spreadsheet graphs
			Make words with your calculator
			Curves and stopping distances
		Maths terms • Diagnostic test • Revision assignment • Working mathematically
	Answers
	Answers to ID Cards
	Index
	Acknowledgements