MHP Resource Set 1
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'Maths Helper Plus Resource Set 1' is a collection of 51 FREE activities grouped into 15 topics. The table below lists the activities by topic. The 'time' and 'year' columns indicate the approximate completion time and the minimum school year level appropriate for each activity. These are only intended as a very rough guide.

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All of Resource Set 1

3303 kB  Product code: #M1A

 

Contains all worksheets plus index pages.  

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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 = ax + 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 = ax + 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 = xn

- 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/(bx+c) that fit given sets of data points.

- Recognising graphs related to y = 1/x

- Straightening the curve for y = 1/x functions.

40 min 12+

Activity 3  

- Finding equations of type: 
y = aebx or y = eax + 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+