Mathematics / Year 9 / Measurement and Geometry / Using units of measurement

Version 8
Switch to version 9
View on Australian Curriculum website Australian Curriculum, Assessment and Reporting Authority
Curriculum content descriptions

Calculate areas of composite shapes (ACMMG216)

Elaborations
  • understanding that partitioning composite shapes into rectangles and triangles is a strategy for solving problems involving area
General capabilities
  • Numeracy Numeracy
ScOT terms

Area,  Polygons

Refine by resource type

Refine by year level


Refine by learning area


Refine by topic

Related topic
  • No suggestions

3 direct matches to ACMMG216 | 17 other related resources
Showing the top 20 search results

Text

reSolve: Monte Carlo Simulations

  • TLF-IDM025322

This sequence of two lessons explores how statistical techniques that rely on randomly generated data can be used to solve problems. In the first lesson, students compare different methods for calculating the area of an irregular shape, using the context of oil spill maps. They are introduced to the Monte Carlo method for ...

View detailsView resource
Video

Maths inside bees and beehives

  • TLF-IDM021608

Bees are necessary for assisting many plants to produce the food we eat, including meat and milk. Colony collapse disorder, which describes the disappearance of beehives, could have catastrophic effects on food production. Australian scientists are applying their maths and science knowledge to build up a picture of a healthy ...

View detailsView resource
Text

Mathematics of bushfire

  • TLF-IDA003752

In these classroom activities students will be introduced to some of the basic mathematical principles that underpin wildfire science, with an emphasis on how theoretical concepts are used to aid our understanding of the real world, and bushfire in particular. They will learn about the complexities of the fire management ...

View detailsView resource
Text

reSolve: Rectilinear Polygons

  • TLF-IDM025324

In this sequence of three lessons, students use geometric reasoning to establish relationships between angles in polygons and go on to make generalisations using algebraic expressions. Students explore and enumerate right angles in a series of rectilinear polygons and generalise their findings. They then explore the number ...

View detailsView resource
Text

reSolve: Mechanical Linkages: Similar Triangles

  • TLF-IDM021841

This sequence of lessons explores the geometry of similar triangles using two real world objects: ironing boards and pantographs. In the first lesson, students investigate different ironing board leg lengths and pivot positions using similar and congruent triangles. In the second lesson, they use their knowledge of parallelogram ...

View detailsView resource
Text

reSolve: Gradient and Tangent

  • TLF-IDM025321

This sequence of two lessons investigates gradient and angle by applying the tangent ratio to find the angles represented by a road sign or the angle of a street. In the first lesson, students research what a road grade is and determine the actual angle of a road given its grade. They then construct their own road sign ...

View detailsView resource
Text

reSolve: Pythagoras' Theorem - Lunch Lap

  • TLF-IDM025323

In this sequence of two lessons, students apply Pythagoras' Theorem to explore a practical problem involving optimising paths to lunch carts. In the first lesson, students investigate the length of a path that touches three sides of a rectangle, starting and finishing at the same point. They model the problem, use Pythagoras' ...

View detailsView resource
Text

reSolve: Tree Biomass

  • TLF-IDM025325

In this sequence of two lessons, students investigate how many trees would be required to supply paper for their school for a year. Students use similar triangles, Pythagoras' Theorem and algebra to design and construct a Biltmore stick, used to measure the diameter and height of a tree. They measure trees, calculate their ...

View detailsView resource
Text

reSolve: Pythagoras' Theorem - Phone finding

  • TLF-IDM021843

This lesson challenges students to apply Pythagoras' Theorem to explore a practical real-world problem. Students explore technology reliant on mathematical concepts. The lesson is outlined in detail including curriculum links, vocabulary, materials needed, sample answers, discussion points and student resources such as ...

View detailsView resource
Video

Mystery man Pythagoras meets his match

  • TLF-IDM017688

What do you know about Pythagoras? Join Vi Hart as she not only explains his theorem but raises some legends about his dark past! Follow Vi's timeline of famous mathematicians to find out in which century Pythagoras lived. See how Vi shows a proof of his theorem and raises what was a big dilemma for Pythagoras: the irrational ...

View detailsView resource
Interactive

Laptop wrap: Talking trigonometry

  • TLF-IDM016176

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.

View detailsView resource
Interactive

Laptop wrap: Under the surface

  • TLF-IDM016697

In this laptop-friendly resource, students consider the difference between volume and surface area before posing practical problems. They then consider issues relating to unit conversions and similar figures.

View detailsView resource
Video

MathXplosion, Ep 50: How to use a tetrahedron to solve the tree problem

  • TLF-IDM024991

How can you place four trees exactly the same distance apart from one other? By making a model! By using miniature trees to make a model of the problem, it becomes clear that a 2D solution is impossible. We learn how objects can help us visualise the problem situation, which in this case requires a 3D solution: a tetrahedron.

View detailsView resource
Interactive

Numeracy wrap: Tell me why

  • TLF-IDM016554

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

View detailsView resource
Text

TIMES Module 11: Measurement and Geometry: area, volume and surface area - teacher guide

  • TLF-IDM008601

This is a 15-page guide for teachers containing explanations of the derivation of formulas for the areas of parallelograms, trapeziums, rhombuses and kites. Formulas for the volumes and surface areas of prisms and cylinders are obtained. Applications of these formulas are given. A history of the development of these concepts ...

View detailsView resource
Text

TIMES Module 15: Measurement and Geometry: Pythagoras's theorem - teacher guide

  • TLF-IDM008604

This is a 24-page guide for teachers. It contains proofs of Pythagoras's theorem and its converse, applications of Pythagoras's theorem and a discussion of Pythagorean triads. A history of Pythagoras's theorem concludes the module.

View detailsView resource
Text

TIMES Module 22: Measurement and Geometry: introductory trigonometry - teacher guide

  • TLF-IDM008608

This is a 20-page guide for teachers containing an introduction to the three basic trigonometric ratios. A history of trigonometry concludes the module.

View detailsView resource
Text

TIMES Module 20: Measurement and Geometry: parallelograms and rectangles - teacher guide

  • TLF-IDM008823

This is a 17-page guide for teachers. It contains the definitions, properties and tests for parallelograms and rectangles. Proofs of the properties and tests are given. Constructions for parallelograms and rectangles are given.

View detailsView resource
Text

Introduction to trigonometry

  • TLF-IDA003319

These lesson plans guide the teacher on how to introduce trigonometry to students through an investigation of similar triangles.

View detailsView resource
Interactive

Surface area of prisms

  • TLF-IDM012146

This is a five-page HTML resource about solving problems concerning surface areas of prisms. It contains one video and five questions, two of which are interactive. The resource discusses and explains solving problems involving determining surface areas of prisms to reinforce students' understanding.

View detailsView resource