Mathematics / Year 10 / Measurement and Geometry / Pythagoras and trigonometry

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Curriculum content descriptions

Solve right-angled triangle problems including those involving direction and angles of elevation and depression (ACMMG245)

Elaborations
  • applying Pythagoras Theorem and trigonometry to problems in surveying and design
General capabilities
  • Literacy Literacy
  • Numeracy Numeracy
ScOT terms

Angles,  Right angled triangles

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The geometer's warehouse

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This web-based, multimedia resource focuses on the geometry of the Stage 4 and Stage 5 Mathematics syllabus. It comprises 70 dynamic html worksheets, each exploring a different outcome in Stage 4 and Stage 5 geometry.

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Laptop wrap: Talking trigonometry

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In this laptop-friendly resource, students consolidate their understanding of trigonometry by investigating practical applications of the ratios, highlighting the process they used to find a solution.

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Renovate, Calculate!

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A student resource that explores the use of mathematics in the trades. Highly interactive investigations into ratio, areas of special quadrilaterals and right-angled trigonometry.

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The Mathematical Toolkit

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A 2D Shapes tool that can be used to create geometric objects such as quadrilaterals, circles, triangles, lines, arcs, rays, segments and vectors on a coordinate grid. Plot and label the vertices to reveal the internal angles, side lengths, area and perimeter, then manipulate the shapes on a grid to transform their shape ...

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Numeracy wrap: Tell me why

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Interactive activities that guide students to consider the use and presentation of geometric reasoning.

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Finding Angles From Ratios

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An animated tutorial about using a calculator to find an angle when given a trigonometric ratio. An interactive quiz is included.

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Numeracy wrap: Race across transversals

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Interactive activities that guide students to explore angles in parallel lines.

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Laptop wrap: Geometry gems

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A page with a focus on using GeoGebra to enhance student understanding of various geometric properties and the importance of reasoning in proof. A laptop-friendly resource that includes supporting activities and links to resources.

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Numeracy wrap: Parallelogram peculiarities

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Interactive activities that guide students to investigate properties of parallelograms.

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Numeracy wrap: It's what's inside that counts

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interactive activities that guide students to explore the interior and exterior angle sums of polygons.

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Trigonometric Ratios

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An animated introduction to the basic trigonometric ratios.

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