Search results

Text

8M01A Time and duration - Ochre Education

This unit of work focuses on time and duration. Students define time zones and determine the corresponding time in different time zones in 12- and 24-hour time using GMT and UTC; determine departure and arrival times in both departure and arrival time zones given the travel duration; determine the travel duration given ...

Text

8A01A Algebra - Ochre Education

This unit of work focuses on algebra. Students simplify algebraic expressions involving adding, subtracting, multiplying, and dividing simple algebraic terms up to squares and cubes of algebraic factors that do not require use of exponent laws (such as multiplying and dividing coefficients or writing chains of or fractions ...

Text

8M03A Pythagoras' theorem - Ochre Education

This unit of work focuses on Pythagoras' theorem. Students define and identify the hypotenuse of a right-angled triangle as being the longest side and opposite the right angle and the perpendicular sides as being the shorter two sides and adjacent to the right angle; define Pythagoras' theorem in words and symbols; use ...

Text

Voronoi Diagrams - Calculate

This unit of work explores coordinate geometry in the context of Voronoi diagrams. Students use linear coordinate geometry to construct Voronoi diagrams by finding the gradient of a line segment, then finding the midpoint, a perpendicular line and finally the perpendicular bisector.

Text

Financial Mathematics: Simple Interest - Calculate

This unit introduces the calculation of simple interest, as a starter for learning about compound interest. Students learn about a range of ways in which interest generally is used and applied in the real world and then use the formula for calculating simple interest to solve borrowing, saving and investment problems.

Text

Factorising Quadratics and Solving - Calculate

This activity explores the properties of the family of functions and their graphs known as parabolas. The unit includes an AMSI Interactive online module, a range of other AMSI Schools and external links and video tutorials and some extension or enrichment ideas to take their understanding further. A short quiz at the end ...

Text

Santa needs a navigator - Calculate

This activity challenges students to find the best route for Santa to take around the world, taking timezones and travel time into consideration. Students mark places on a map, plan a route that is taken only at night and calculate the duration of the entire trip.

Online

Formulate and manipulate expressions: Year 9 – planning tool

This planning resource for Year 9 is for the topic of Formulate and manipulate expressions. Students move beyond expanding and factorising linear expressions, such as 3(2x – 1) or 4x + 6, to working with monic quadratic expressions (that is, where the coefficient of the square term is 1). This involves expanding expressions ...

Online

Use variables: Year 9 – planning tool

This planning resource for Year 9 is for the topic of Use variables. Students apply and extend their knowledge and skills of exponent laws to simplify or expand numeric and algebraic expressions and solve equations.

Online

Conduct statistical investigations: Year 8 – planning tool

This planning resource for Year 8 is for the topic of Conduct statistical investigations. Student bring together their learnings and plan a statistical investigation using known data or by conducting statistical data collection themselves. Students identify potential data collection and analysis from available data sets ...

Online

Conduct statistical investigations: Year 9 – planning tool

This planning resource for Year 9 is for the topic of Conduct statistical investigations. Students plan and conduct a statistical investigation. Encourage students to think creatively to come up with a topic for investigation; prompt students to choose a topic of interest so that they engage in the process and are motivated ...

Online

Interpret and discuss data displays: Year 9 – planning tool

This planning resource for Year 9 is for the topic of Interpret and discuss data displays. Students will be presented with various digital media to investigate and evaluate findings from reports of surveys. Students will make informative decisions based on their prior knowledge of sampling and data collection to make judgements ...

Online

Possible outcomes: Year 8 – planning tool

This planning resource for Year 8 is for the topic of Possible outcomes. Students are introduced to more complex probability concepts, terminology and visual representations. These concepts may be challenging for students to comprehend and will need multiple examples incorporating relevant teaching strategies.

Online

Position and location: Year 8 – planning tool

This planning resource for Year 8 is for the topic of Position and location. Students work with 3D objects that can be located on the x, y, z planes, allowing students to extend their thinking away from flat objects on a 2D plane, to objects with volume that have a position in space with (x, y, z) coordinates. Students ...

Online

Finding the shortest path

In this lesson, students will experiment with different ways of creating a path between two points with algorithm design and generalizing patterns. From the patterns, they will be able to generate an algorithm for efficiently traveling through cities in a region.

Online

Mathematical modelling (Algebra): Year 8 – planning tool

This planning resource for Year 8 is for the topic of Mathematical modelling. Students model linear relationships to solve real-world applications that they can relate to, such as financial contexts (for example, pay rates for part-time work) or measurements (for example, cooking, constant speed and distance/time graphs, ...

Online

Saltwater crocs: resourceful or a resource?

This lesson focuses on the analysis of a dataset that records scientific data collected about the crocodile population in the Kimberley region during 2015. The lesson follows an inquiry process where students use the dataset to answer relevant questions about the crocodile population. It also provides an opportunity for ...

Downloadable

Back to the books

In this lesson, students will explore how bookmakers set odds, and how these odds are carefully determined in order to guarantee the bookmaker the best chance of making a profit. Students learn how to convert between odds and probabilities and calculate the expected profit or loss based on odds. The lesson is outlined in ...

Downloadable

Poker machines (simulation)

This lesson explores how poker machines work and what is meant by the term Return to Player (RTP) percentage. Students run simulations to determine how small betting amounts can lead to a large cumulative loss over time and examine how reinvesting profits or wins from playing the poker machine back into the machine has ...

Downloadable

What’s the cost?

This lesson explores gambling losses by comparing losses to other average household purchases. Students then explore how this money could be more profitably invested in a compound interest scheme over time. Finally, students are asked to critically reflect on the true social and financial cost of gambling and to consider ...