 [Â HomeÂ ] [Â UpÂ ] '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. The worksheets are in 'pdf' file format, and you will need the free Acrobat reader software before you can view or print them. Click the 'Get Acrobat Reader' button to download Acrobat reader if required. Click the 'preview' buttons to view the activity sheets on your computer. To save or print the sheets, click the 'Preview' button for 'All of Resource Set 1'. From within Acrobat reader you can then save or print the resources. Click here to download the free set-up documents for this resource set. (1171 kB)

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 FREE ! Click 'Preview' to download, then save or print this document from the preview screen. All of Resource Set 1 3303 kB Â Product code: #M1A Â Contains all worksheets plus index pages. Â Preview or purchase separate parts of the resource set...

 Click 'Preview' to view this activity. Basic Skills 180Â kB Time Year Â Basic skills for using Maths Helper Plus. An excellent introduction for your classes. 30 min 8+ Â Click 'Preview' to view these activities. Coordinates 340 kBÂ  Product code: #M1B Time Year Coordinates Â Â Â Activity 1Â Â - Plotting ordered pairs given coordinates. (Whole numbers only) - Points on the axes. - Number patterns in coordinates. 40 min 8+ Activity 2Â Â - Reading coordinates from a graph (Whole numbers only) - Plotting coordinates in a given order. - Creating shapes using whole number coordinates. 40 min 8+ Activity 3Â Â - Reading ordered pairs from a graph (Whole numbers only) 20 min 8+ Activity 4Â Â - Reading coordinates of given landmarks from a map. (Whole numbers only.) - Use of map scale to measure distances. 30 min 8+ Activity 5Â Â - Reading ordered pairs from a graph. - Use of four quadrants - Use of fractional coordinates. 30 min 8+ Activity 6Â Â - Reading polar coordinates from a graph 30 min 9+ Â Click 'Preview' to view these activities. Transformations in the plane, plane shapes, solids 465 kBÂ  Product code: #M1C Time Year Transformations in the plane Â Â Â Activity 1Â Â - Reflecting a triangle in ‘x’ axis, ‘y’ axis and an oblique line. ( Students enter their own triangle.) 30 min 9+ Activity 2Â Â - Reflecting a complex shape in ‘x’ axis, ‘y’ axis and an oblique line. (Students enter their own complex shape.) 30 min 9+ Plane Shapes Â Â Â Activity 1Â Â - Area and perimeter of rectangles. (Students enter their own rectangles.) 20 min 8+ Activity 2Â Â - Area of triangles. (Students enter their own triangles.) 20 min 8+ Activity 3Â Â - Area of parallelograms (Students enter their own parallelograms.) 20 min 8+ Activity 4Â Â - Area and perimeter of simple compound shapes. (All sides vertical or horizontal.) Students enter their own compound shapes. 20 min 8+ Activity 5Â Â - Area of complex compound shapes. (Includes oblique sides) Students enter their own complex shapes. 20 min 9+ Solids Â Â Â Activity 1Â Â - 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+ Â Â Click 'Preview' to view these activities. Gradient, linear functions, simultaneous solutions 581 kBÂ  Product code: #M1D Time Year Gradient Â Â Â Activity 1Â Â - Gradient of a line from the origin to a fixed point 20 min 9+ Activity 2Â Â - Gradient of a line segment between two fixed points. 40 min 10+ Linear Functions Â Â Â Activity 1Â Â - Finding the equation of the straight line through four plotted points. 30 min 10+ Activity 2Â Â - 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 3Â Â - An investigation of the ‘y’ intercept of linear functions. - Correspondence between ‘c’ and the ‘y’ intercept of the graph line. 15 min 10+ Activity 4Â Â - Finding the equation of lines through plotted points. - Includes vertical and horizontal lines. 35 min 10+ Activity 5Â Â - Measuring gradients on a photograph of a natural landmark. - Approximating curves with linear functions. 35 min 10+ Simultaneous Solutions Â Â Â Activity 1Â Â - 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 2Â Â - 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+ Â Click 'Preview' to view these activities. Quadratic functions, polynomials 550 kBÂ  Product code: #M1E Time Year Quadratic Functions Â Â Â Activity 1Â Â - An investigation of ‘a’ and ‘c’ in equations of type: Â Â Â Â Â Â Â Â Â  ‘yÂ =Â ax²Â +Â bxÂ +Â 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: Â Â Â Â Â Â Â Â Â  ‘y = ax² + c’. 40 min 10+ Activity 2Â Â - 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 3Â Â - 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 4Â Â - 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 Â Â Â Activity 1Â Â - An investigation of graphs of functions of type: Â Â Â Â Â  y = xn - Effect of even and odd ‘n’ values on the graphs. 35 min 11+ Activity 2Â Â - 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+ Â Â Click 'Preview' to view these activities. Trigonometric Functions 430 kBÂ  Product code: #M1F Time Year Trig Functions Â Â Â Activity 1Â Â - 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: Â Â Â Â Â  y = asin(bx) 40 min 11+ Activity 2Â Â - 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: Â Â Â Â  y = asin(bx + c) - An investigation of ‘d’ in:Â  Â Â  y = asin(bx + c) + d 40 min 11+ Activity 3Â Â - 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 4Â Â - 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 5Â Â - 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+ Â Â Click 'Preview' to view these activities. Curve fitting 339 kBÂ Â  Product code: #M1G Time Year Curve Fitting Â Â Â Activity 1Â Â - 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 2Â Â - 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 3Â Â - Finding equations of type:Â  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+ Â Â Click 'Preview' to view these activities. Calculus 628 kBÂ  Product code: #M1H Time Year Calculus Â Â Â Activity 1Â Â - 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 2Â Â - 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 3Â Â - 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 4Â Â - 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 5Â Â - Finding a primitive function by measuring areas on a graph. 30 min 11+ Activity 6Â Â - 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 7Â Â - 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+ Â Â Click 'Preview' to view these activities. Statistics 374 kBÂ  Product code: #M1J Time Year Statistics Â Â Â Activity 1Â Â - Entering data manually - Importing a large data file - Organising data into tables - Interpreting data from a table. 40 min 10+ Activity 2Â Â - Putting data into classes - Calculating a class midpoint - Interpreting a huge data set - Choosing the optimum class width 40 min 11+ Activity 3Â Â - Finding quartiles: Q1, Q2 and Q3 ( Practice with small data set, then apply to a large data set. ) 30 min 11+ Activity 4Â Â - Graphing histograms - Sketching a histogram by hand - Using the computer to plot a histogram - Hints on choice of scales. 40 min 10+ Activity 5Â Â - Creating scatter plots - Multiple scatter plots with vastly different ‘y’ values. - Using scatter plots to interpret statistical data. 30 min 11+ Click 'Preview' to view this activity. Fun Activity 191Â kB Time Year Â - Spirograph patterns. Create fascinating polar graph patterns.Â  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+
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