MathNet AP: 2

Pages: 504

Latest Additions

8029 Algebra and Functions : Functions and inverses : Exam question 10

7987 Algebra and Functions : Functions : Exam question 11

7982 Algebra and Functions : Piecewise-defined functions : Example 3

7981 Algebra and Functions : Piecewise-defined functions : Example 2

7980 Algebra and Functions : Piecewise-defined functions : Example 1

7979 Algebra and Functions : Piecewise-defined functions : Investigate 5

7978 Algebra and Functions : Piecewise-defined functions : Investigate 4

7977 Algebra and Functions : Piecewise-defined functions : Investigate 3

7976 Algebra and Functions : Piecewise-defined functions : Investigate 2

7975 Algebra and Functions : Piecewise-defined functions : Investigate 1

7966 Coordinate geometry : Straight lines : Exam question 10

7943 Coordinate geometry : Straight lines : Exam question 11

7921 Coordinate geometry : Straight lines : Exam question 10

7907 Algebra and Functions : Functions : Exam question 11

7906 Algebra and Functions : Functions and inverses : Exam question 11

1. Coordinate geometry

2. Algebra and Functions

3. Exponentials and logs

4. Trigonometry

5. Limits and continuity

Coordinates	Coordinates and points	Midpoint	Midpoint 2
	Midpoint 3	Midpoint 4	Observation O-test
	Distance between 2 points	Distance between 2 points 2	Distance between 2 points 3
	Sides of a triangle	Vocabulary O-test	Isosceles triangle
	Isosceles triangle 2	Parallelogram	Timed O-test
	True or false O-test	O-test 1	O-test 2
	O-test 3	O-test 4

Gradient	Between two points	Between two points 2	Find the gradient
	Find the gradient 2	The gradient using tan t	Victorian sewer
	Collinear points	Line between 2 points	Midpoint, length, gradient
	True or false O-test	O-test 1	O-test 2
	Timed O-test

Rational curves	Introduction	Linear denominator	Linear denominator 2
	Plotting O-test 1	Sketch the graph	Plotting O-test 2
	Quadratic denominator	Quadratic denominator 2	Quadratic denominator 3
	Quadratic over quadratic	Quadratic over quadratic 2	Asymptotes or not?
	Curve recognition	Using a GDC	Exam O-test


Straight lines	Introduction	y=mx+c	y=mx+c 2
	Find the equation	y-y₁=m(x-x₁)	Points and lines
	Practise	ax+by+c=0	Observation O-test
	Equations in intercept form	Axis intercepts	Perpendicular distance
	Summary	Straight line recognition	Straight line recognition 2
	Straight line recognition 3	Finding equations	Finding equations 2
	Finding equations 3	O-test 1	O-test 2
	O-test 3	Parallel lines	Finding parallel lines
	Finding parallel lines 2	Finding parallel lines 3	Parallel and perpendicular lines
	Perpendicular lines	Perpendicular lines	Perpendicular gradients
	Perpendicular gradients 2	Right angles	Finding perpendicular lines
	Finding perpendicular lines 2	Finding perpendicular lines 3	Finding perpendicular lines 4
	O-test 4	Vocabulary O-test	Finding lines - the method
	Analysis	The vertical wedge	Linear graph quiz
	True or false	True or false 2	True or false O-test 1
	True or false O-test 2	Quiz	Quiz 2
	Timed O-test	O-test 5	O-test 6
	Exam O-test 1	Exam O-test 2	Exam O-test 3
	Exam O-test 4	Exam O-test 5	Exam O-test 6
	Exam O-test 7


















Summary	The formulae	Memorise the formulae

Triangle project	Perpendiculars	Circumcenter	Circumcenter 2
	Circumcircle	Medians	Centroid
	Centroid 2	Altitudes	Orthocenter
	Orthocenter 2	Perpendicular & altitude	Investigate

Cubic curves	Introduction	y=ax³+bx²+cx+d	Plotting O-test 1
	Observation O-test	Plotting O-test 2	Solving ax³+bx²+cx+d=0
	Identify the coefficients	Turning points	y=(x-a)(x-b)(x-c)
	Cubics using a GDC	O-test 1	Factorising 1
	Factorising 2	Form the cubic	Linear,quadratic,cubic
	O-test 2	True or false	True or false 2
	Exam O-test



Domain and range	Introduction	Domain and range	Domain and range 2
	Domain and range 3	O-test 1	O-test 2


Functions	Introduction	Function notation	Evaluating
	Values of functions	Values of functions 2	Values of functions 3
	Values of functions 4	Composition of functions	Composition 2
	Composition 3	Odd and even functions	Even functions
	Even functions 2	Even functions 3	Odd functions
	Odd functions 2	Odd functions 3	O-test 3
	True or false O-test 1	True or false O-test 2	O-test 4
	Matching O-test 1	Matching O-test 2	Exam O-test
	Exam timed O-test






Functions and inverses	Example 1	Example 2	Example 3
	Example 4	Example 5	Example 6
	Verify inverses	Inverses on a GDC	True or false
	O-test 1	Matching O-test	O-test 2
	O-test 3	Exam O-test 1	Exam O-test 2
	Exam O-test 3










More on curves	Quartics	Other powers	Various curves
	Curve recognition	Curve recognition 2	Matching O-test

Piecewise-defined functions	Step functions	The Heaviside function	Heaviside 2
	Other graphs	Investigate 1	Investigate 2
	Investigate 3	Investigate 4	Investigate 5
	Example 1	Example 2	Example 3
	Example 4	Example 5	Example 6
	Piecewise graphs on a GDC

Quadratic curves	Basic shape	y=ax²+bx+c	Plotting O-test 1
	Observation O-test 1	Timed O-test	y=(x-a)(x-b)
	Plotting O-test 2	Observation O-test 2	More on y=(x-a)(x-b)
	Using a GDC	O-test 1	y=c(x-a)(x-b)
	O-test 2	More on y=(x-a)²+b	y=(x-a)²+b
	Curve recognition	Curve recognition 2	Axis of symmetry
	Curve recognition 3	Min and max	Quadratic curve quiz
	Solving problems	True or false O-test 1	True or false O-test 2


Reciprocal curves	y=a/x	Symmetries	Plotting O-test
	Exam O-test

e^x	The number e	Graph of e^x

Exponential growth & decay	Discrete growth	Discrete decay	Football crowds
	Music fans	O-test	Continuous growth
	Radioactive half-life	Radioactive half-life 2	Elephant population
	Computer prices	Spread of infection	Investments
	Exam O-test 1	Exam O-test 2	Exam timed O-test






Exponentials	The graph of a^x	The graph of a^x 2	Plotting O-test
	The solution of a^x=b	A joke	Exponential functions
	Exponential equations	Timed O-test	Solving with a GDC
	Solving with a GDC 2	O-test

Logarithms	Graph of log ax	Graph of log ax 2

Double angle formulae	True or false O-test

Trig functions	Unit circle definitions 1	Unit circle definitions 2	Exact values (with degrees)
	Timed O-test	True or false O-test	Exact values (with radians)
	Exact values (with radians) 2	From circle to graph	From circle to graph on a GDC
	Transforming the sine graph	y=asin(bx)	y=asin(bx+c)+d
	y=acos(bx+c)+d	y=acos(bx+c)+d	y=asin(bx+c)+d on GDC
	y=atan(bx+c)+d	Recognising trig graphs	Sec, cosec, cot
	Recognising trig graphs 2	Arcsin,arccos,arctan	Inverses and symmetries
	Symmetries	Trig graph quiz	Identities
	Identities 2	Identities 3	O-test
	Plotting O-test 1	Plotting O-test 2	Plotting O-test 3
	Plotting O-test 4	Plotting O-test 5	Plotting O-test 6
	O-test 1	O-test 2	O-test 3
	O-test 4


Trig identities	A graph

Limits	An informal approach	An informal approach 2	Using tables of values
	Using tables of values 2	Using tables of values 3	Using tables of values 4
	Limits at infinity	Limits at infinity 2	Tables on a GDC
	Basic rules	Using algebra	Using algebra 2
	Rational functions	Rational functions 2	Rational functions 3
	Rational functions 4	sin(x) / x	More trig limits
	More trig limits 2	More trig limits 3	More trig limits 4
	More trig limits 5	Introducing e	Using e
	The Sandwich theorem	The Sandwich theorem 2	One and two-sided limits
	One and two-sided limits 2	Formal definition of limits	Formal definition of limits 2
	Quick test

Continuity	Examples of continuity	Types of discontinuities	Jump discontinuities
	The Intermediate value theorem	Removable discontinuities	Removable discontinuities 2
	Point discontinuities	Formal definition of continuity	Formal definition of continuity 2
	Testing for continuity	Testing for continuity 2	Testing for continuity 3
	Testing for continuity 4	Continuity problem	Continuity problem 2
	Continuity problem 3	Quick test

Asymptotes	Limits and asymptotes	Investigate	Investigate 2
	Investigate 3	Vertical asymptotes	Finding vertical asymptotes
	Finding vertical asymptotes 2	Finding vertical asymptotes 3	Finding vertical asymptotes 4
	Horizontal asymptotes	Horizontal asymptotes 2	Horizontal asymptotes 3
	Horizontal asymptotes 4	Approaching asymptotes	Finding asymptotes
	Finding asymptotes 2	Finding asymptotes 3	Finding asymptotes 4
	Quick test

Summary	Test question