Resources by Something in Common
Displaying 41 - 50 of 76
Quad Tessellate
The initial challenge is to attempt to draw a quadrilateral that does not tessellate. There is a Geogebra file included with the resources that will help demonstrate the impossibility of the...
Quadratic Segments
The investigation begins by looking at the area of three segments related to a quadratic. The first segment is the area between the curve and the x-axis. Each of the other...
Quadthagoras
A rectangle is presented. The length of a diagonal is marked. The sides of the rectangle are given in terms of expressions in x. The challenge is to determine the value of x. Solving the problem involves the use of Pythagoras’ theorem which then gives rise to a quadratic with...
Ratio of tans
In this resource students are given the coordinates for each vertex of a triangle, with two of the vertices being horizontal. The challenge is to determine the ratio of the tangents of two of the angles.
Each student worksheet has a different triangle, but the solutions all have something in common.
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Sea Shell Product
A unit circle is marked off in equal arc lengths. The resulting points are joined back to a single point. The challenge is to find the products of the lengths of the chords drawn in each circle...
Shoot
A monkey is sitting in a tree and the aim is to shoot the monkey with a tranquilizer so that it can receive urgent medical attention. The monkey is very astute and will let go of the branch he...
Sine Rule Discovery
The investigation begins by looking at the area of three segments related to a quadratic. The investigation begins with a practical investigation using measurement of lengths and angles. The...
Skew Lines
This problem involves using vectors to model 3D space. Two skew lines are presented and the challenge is to find the shortest distance between the lines. In addition, the...
Sloping triangle
In this resource scalene triangles are drawn on a square grid. The challenge is to find the area of the triangle.
On each student worksheet there is a different triangle, but the solutions all have something in common.
One way to find the area is to enclose the triangle in a right-angled triangle, and...
The ‘Something in Common’ collection from John Burke contains problems that enable students to hone their skills of both problem solving and proof. ...