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Angle Estimates |
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| Students use the Geometry application to draw and modify an angle. They can then estimate the size of angle before checking their estimate using the measurement tool. |
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Area and Perimeter
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| Students draw different quadrilaterals of equal area and explore their perimeters using the measurement tool. |
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Balancing Equations
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| Students solve linear ‘balancing' problems using their own methods. Each step of the student's algebra is recorded and automatically updates if values are edited. |
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Cubic Factors
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| Students explore the roots of cubic expressions by manual substitution to get zero values. This leads to factorising the cubic and this can be checked using the Computer Algebra System. |
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Highest Common Factor
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| Students are encouraged to compare the prime factorisation of two numbers and then use this to find the HCF. The Computer Algebra System can be used to check results. |
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Inequalities
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| Students are encouraged to explore the intersections of graphical inequalities. Functions can be defined in terms of X or Y. |
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Linear Graphs
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| Students match linear equations with their graphs. The drag and drop tool can be used to check answers. An extension activity allows students to create their own patterns using linear graphs. |
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Normal Distribution
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| This activity combines the area under the Standard Normal curve, the integral of the Standard Normal function and the probability between limits. An extension allows students to explore any Normal Distribution. |
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Parallel Lines
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| Exploration of alternate and corresponding angles. |
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Perpendicular Lines
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| Students can explore the relationships between the equations of a pair of perpendicular lines. The dynamic linking between the equations and the graphs allows the student to choose their own parameters. |
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Quadrilaterals
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| Simple use of drag and drop of vertices and sides to make required quadrilaterals. |
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Reflection
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| Exploration to compare the co-ordinate pairs of an object and its image when reflected through the x-axis, the y-axis, y=x and y=-x. |
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Rotating Shapes
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| Use of rotation in the Geometry tool to justify the angle relationships of a triangle. Extensions to tessellation and quadrilaterals. |
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Sequence Builder
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| Simple editing of the seq( function to generate term-to-term sequences. |
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Square Roots
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| Exploration of the positive and negative square roots of real and complex values. Relationship between inverses and 1-to-1 functions. |
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Straight Line
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| Defining the equation of a line that passes through the y-intercept and another point. |
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Tangent and Normal
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| Dynamically explore the equations for the Tangent and the Normal along the graph of any Cartesian function. |
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