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Basic
Skills
180 kB

Time 
Year 

Basic skills for using Maths
Helper Plus. An excellent introduction for your classes. 
30 min 
8+ 




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Coordinates
340 kB
Product code: #M1B

Time 
Year 
Coordinates




Activity 1 
 Plotting ordered pairs given coordinates.
(Whole numbers only)
 Points on the axes.
 Number patterns in coordinates. 
40 min 
8+ 
Activity 2 
 Reading coordinates from a graph
(Whole numbers only)
 Plotting coordinates in a given order.
 Creating shapes using whole number coordinates. 
40 min 
8+ 
Activity 3 
 Reading ordered pairs from a graph
(Whole numbers only) 
20 min 
8+ 
Activity
4 
 Reading coordinates of given landmarks
from a map. (Whole numbers only.)
 Use of map scale to measure distances. 
30 min 
8+ 
Activity
5 
 Reading ordered pairs from a graph.
 Use of four quadrants
 Use of fractional coordinates. 
30 min 
8+ 
Activity
6 
 Reading polar coordinates from a graph 
30 min 
9+ 




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Transformations
in the plane, plane shapes, solids
465 kB
Product code: #M1 C 
Time 
Year 
Transformations
in the plane




Activity 1 
 Reflecting a triangle in ‘x’ axis,
‘y’ axis and an oblique line. ( Students enter their own triangle.) 
30 min 
9+ 
Activity 2 
 Reflecting a complex shape in ‘x’
axis, ‘y’ axis and an oblique line. (Students enter their own complex shape.) 
30 min 
9+ 
Plane
Shapes 



Activity 1 
 Area and perimeter of rectangles.
(Students enter their own rectangles.) 
20 min 
8+ 
Activity 2 
 Area of triangles.
(Students enter their own triangles.) 
20 min 
8+ 
Activity 3 
 Area of parallelograms
(Students enter their own parallelograms.) 
20 min 
8+ 
Activity
4 
 Area and perimeter of simple compound
shapes. (All sides vertical or horizontal.) Students enter their own compound shapes. 
20 min 
8+ 
Activity
5 
 Area of complex compound shapes.
(Includes oblique sides) Students enter their own complex shapes. 
20 min 
9+ 
Solids




Activity 1 
 Area and volume of rectangular
prism
 Net of rectangular prism
 Construction of rectangular prism from its net
 Relationship between surface area and shape of a rectangular prism

40 min 
9+ 




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Gradient, linear
functions, simultaneous solutions
581 kB
Product code: #M1D

Time 
Year 
Gradient




Activity
1 
 Gradient of a line from the
origin to a fixed point

20 min 
9+ 
Activity
2 
 Gradient of a line segment
between two fixed points.

40 min 
10+ 
Linear Functions




Activity 1 
 Finding the equation of the straight line through four
plotted points. 
30 min 
10+ 
Activity 2 
 An investigation of gradient
in linear functions
 Correspondence between ‘m’ and steepness of the graph line.
 ‘Increasing’ and ‘decreasing’ gradients.
 Gradient of parallel lines

30 min 
10+ 
Activity 3 
 An investigation of the
‘y’ intercept of linear functions.
 Correspondence between ‘c’ and the ‘y’ intercept of the graph
line.

15 min 
10+ 
Activity
4 
 Finding the equation of lines
through plotted points.
 Includes vertical and horizontal lines.

35 min 
10+ 
Activity
5 
 Measuring gradients on a
photograph of a natural landmark.
 Approximating curves with linear functions.

35 min 
10+ 
Simultaneous Solutions




Activity 1 
 Finding simultaneous solutions
of linear functions from tables of function values.
 Correspondence between simultaneous solutions and intersection of graph
lines.
 Special cases, parallel lines and coincident lines.

35 min 
10+ 
Activity 2 
 Finding simultaneous solutions
of a linear function and a quadratic function from tables of function
values.
 Correspondence between simultaneous solutions and intersection of graph
lines.
 Special cases, tangential and non intersecting.

35 min 
10+ 




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Quadratic functions,
polynomials
550 kB
Product code: #M1E

Time 
Year 
Quadratic Functions




Activity 1 
 An investigation of ‘a’
and ‘c’ in equations of type:
‘y = ax² + bx + c’
 The effect of the sign of ‘a’ on graph shape.
 The effect of the magnitude of ‘a’ on graph shape.
 Correspondence of ‘c’ and the ‘y’ intercept.
 Hand sketching of functions of type:
‘y = ax² + c’.

40 min 
10+ 
Activity 2 
 Real life applications of
quadratics
 Analysis of projectile motion from strobe camera picture.
 Recognising parabolas in nature and man made structures.

35 min 
10+ 
Activity 3 
 Evaluating quadratic functions
 Finding points that satisfy quadratic functions
 Demonstrating that points satisfying a quadratic function lie on the
graph of the function.

40 min 
10+ 
Activity
4 
 Finding zeros of a quadratic
function from a table of values.
 Correspondence of zeros and intersections of a quadratic function graph
with the ‘x’ axis.
 Graphs of quadratic functions with 0, 1 and 2 zeros.
 Real roots of quadratic equations.

40 min 
10+ 
Polynomials




Activity 1 
 An investigation of graphs of
functions of type:
y = x^{n}
 Effect of even and odd ‘n’ values on the graphs. 
35 min 
11+ 
Activity 2 
 Degree, coefficients, turning
points and zeros.
 Determining maximum number of turning points and zeros from the index of
the equation.
 Finding accurate zeros and turning points from the graphs.
 Predicting and investigating properties of polynomials up to degree 5.

40 min 
11+ 




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Trigonometric
Functions
430 kB
Product code: #M1F

Time 
Year 
Trig Functions




Activity 1 
 Investigation of amplitude and
period of sine functions.
 Magnitude and sign of the amplitude.
 Finding period from the equation and the graph of a
sine function.
 Sketching graphs of sine functions of the form:
y = asin(bx)

40 min 
11+ 
Activity 2 
 Investigation of phase and
vertical position of sine functions.
 Finding phase shift from the equation and the graph of
a sine function.
 Sketching graphs of sine functions of the form:
y = asin(bx + c)
 An investigation of ‘d’ in:
y = asin(bx + c) + d

40 min 
11+ 
Activity 3 
 An investigation of the sine
function with the unit circle.
 Relationship between the sine ratio in right triangles
and the function y = sinx
 Related trig identities: sin(x), sin(p
± x)

40 min 
12+ 
Activity
4 
 An investigation of the cosine
function with the unit circle.
 Relationship between the cosine ratio in right
triangles and the function y = cosx
 Related trig identities:
cos(x), cos(p
± x)

40 min 
12+ 
Activity
5 
 An investigation of the
tangent function with the unit circle.
 Relationship between the tangent ratio in right
triangles and the function y = tanx
 Related trig identities: tan(x), tan(p
± x)

40 min 
12+ 




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Curve fitting
339 kB
Product code: #M1G

Time 
Year 
Curve Fitting




Activity 1 
 Finding equations of type: y =
a/(bx+c) that fit given sets of data points.
 Recognising graphs related to y = 1/x
 Straightening the curve for y = 1/x type functions.

40 min 
11+ 
Activity 2 
 Finding equations of type: y =
a/(bx²+c) that fit given sets of data points.
 Recognising graphs related to y = 1/x²
 Straightening the curve for y = 1/x² functions.

40 min 
12+ 
Activity 3 
 Finding equations of
type:
y = ae^{bx} or y = e^{ax} + b that fit given sets of data
points.
 Recognising graphs related to these functions.
 Straightening the curve for these functions.
 Use of index and log rules.

40 min 
12+ 




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Calculus
628 kB
Product code: #M1H

Time 
Year 
Calculus




Activity 1 
 Finding the derivative of a
function at a given point by measuring gradients of a secant.
 First principles notation for derivatives.
 Approaching a limit from both sides.

40 min 
11+ 
Activity 2 
 Plotting a graph of the
derivative of a given function from first principles.
 Finding the derivative function from the plotted
points. 
40 min 
11+ 
Activity 3 
 Plotting a graph of the
derivative of a given function by direct measurement of gradients around
the curve.
 Properties of a function graph when its derivative is:
positive, zero, negative, increasing, decreasing.
 Points of inflection.

40 min 
11+ 
Activity
4 
 Calculating the area under a
curved graph by adding rectangles.
 The concept of the exact area being the limit
approached as the rectangle width approaches 0. 
30 min 
11+ 
Activity
5 
 Finding a primitive function
by measuring areas on a graph.

30 min 
11+ 
Activity
6 
 Finding area under a curve by
calculating definite integrals.
 Finding zeros of the function to break the area into
positive and negative components. 
40 min 
12+ 
Activity 7 
 Finding area between two
curves by subtracting definite integrals.
 Finding intersections of two functions as limits of
integration.
 Making sketches of functions and shading areas.

40 min 
12+ 




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Statistics
374 kB
Product code: #M1J

Time 
Year 
Statistics




Activity 1 
 Entering data manually
 Importing a large data file
 Organising data into tables
 Interpreting data from a table.

40 min 
10+ 
Activity 2 
 Putting data into classes
 Calculating a class midpoint
 Interpreting a huge data set
 Choosing the optimum class width

40 min 
11+ 
Activity 3 
 Finding quartiles: Q1, Q2 and
Q3
( Practice with small data set, then apply to a large
data set. ) 
30 min 
11+ 
Activity
4 
 Graphing histograms
 Sketching a histogram by hand
 Using the computer to plot a histogram
 Hints on choice of scales.

40 min 
10+ 
Activity
5 
 Creating scatter plots
 Multiple scatter plots with vastly different ‘y’
values.
 Using scatter plots to interpret statistical data.

30 min 
11+ 




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Fun
Activity
191 kB

Time 
Year 

 Spirograph patterns.
Create fascinating polar graph patterns.
This interesting activity demonstrates some beautiful polar function
graphs, and also gives students practice in using the 'parameters box'
feature of the Maths Helper Plus software. 
30 min 
8+ 