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reSolve: Measurement - Jump!

In this sequence of two lessons, students investigate how far they can jump and explore the jumping distance of a range of animals. Students first estimate the distance they can jump, then undertake an investigation by jumping using a range of techniques. Class data is recorded and displayed and students compare their jumping ...

Online

reSolve: Authentic Problems: Bottle Flipping

This sequence of four lessons explores fractions and statistical reasoning through conducting a series of fair tests to answer the question 'What fraction of a bottle needs to be filled with water to be the best for bottle flipping?'. The lessons focus on building understanding of fractions and collecting, organising and ...

Online

reSolve: Reasoning With 3D Objects

This sequence of lessons explores symmetry and three dimensional objects. Students interpret and represent three-dimensional objects in two dimensions and apply their knowledge of transformations to show congruency or difference between objects. The lessons are outlined in detail including curriculum links, vocabulary, ...

Online

reSolve: Geometry: Trapezium Pieces

This lesson explores different shapes that can be formed by cutting a trapezium in two with one straight line. Students are challenged to classify and name the shapes that are made, and justify their classifications based on the definitions and properties of shapes. The lesson is outlined in detail including curriculum ...

Online

reSolve: Authentic Problems: Expanded Square

This sequence of four lessons explores concepts around informal area and symmetry. Students design an 'expanded square' where approximately half the area of the original square is flipped to the outside. The lessons provide opportunities for students to devise and use methods to informally measure area, record their mathematical ...

Online

reSolve: Monte Carlo Simulations

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 ...

Online

reSolve: Counting: Handfuls

This lesson focuses on building students' counting skills, particularly their ability to subitise a collection (recognise the number of items in a group without the need to count them) . Students consider ways of structuring a collection so that the total can be quickly identified. They explore different arrangements for ...

Online

ReSolve: What's In A Name

This sequence of two lessons examines trends in the names of students in the class, as well as trends in popular names from 2017 and 1957. Students explore data associated with these names and decide whether the mean, median or mode might be a suitable measure of central tendency. They develop their skills with spreadsheets ...

Online

reSolve: Place Value: Cartoon Counting

This lesson engages students in investigating place value by considering a counting system using base 8. Students are challenged to imagine how place value would work in a cartoon world where everyone only had eight fingers. They engage in activities with counting blocks, representing numbers in base 10 and in base 8 and ...

Online

reSolve: Multiplication - reSolve Fruit Shop

This sequence of two lessons explores the use of arrays to determine how many objects are in a collection. Students use strategies such as skip counting, repeated addition and partitioning the array into smaller parts. They investigate how some numbers can be represented as an array in different ways. They also explore ...

Online

Human landscapes – inquiry-based learning through Sydney Metro – Stage 4

This inquiry-based unit of work was created, trialled and peer reviewed as part of a professional learning program in inquiry-based learning for school teachers. The professional learning courses were part of a pilot partnership between the NSW Government’s Sydney Metro transport agency and Western Sydney University. Students ...

Online

reSolve: Paint with Numbers

This sequence of three lessons explores ratios through the context of mixing paint. Students investigate how ratios express a multiplicative relationship between two measures and under what conditions the proportions remain constant when the numerical values of both quantities change. The lessons are outlined in detail ...

Online

reSolve: Quarter Cartons

This lesson challenges students to use algebra and proportional reasoning to investigate how changing the size of a paper square or rectangle impacts the dimensions of a box folded from that paper. Students apply knowledge about nets of 3D objects and explore algebraic relationships through a set of hands-on activities ...

Online

reSolve: Woolly Worms

This sequence of two lessons engages students in comparing lengths of pieces of wool: 'woolly worms'. Students use direct comparison to order their collection of worms from shortest to longest. They learn to order their collection of worms using a variety of strategies, to record lengths using informal units, to draw worms ...

Online

reSolve: Multiplication - The Tiler

This task explores arrays through the context of a tiling a courtyard. Students are given the total cost of tiling a courtyard and use this to calculate the price for individual tiles. They then explore the cost of different tiling designs to determine if one is cheaper than another. Each lesson is outlined in detail including ...

Online

reSolve: Algebra: Think of a number - Linear Equations

This lesson explores algebra by generalising results from arithmetic used in 'think of a number' games. Students connect arithmetic operations with algebraic notation and visualisations. The lesson begins with an observation made using arithmetic that students then justify and extend using algebra. The lesson is outlined ...

Online

reSolve: Algebra: Triangle Inequality

This sequence of two lessons explores the triangle inequality theorem. Students are challenged to construct triangles with a given number of matchsticks, explore and record what combinations of sticks can create valid triangles and represent their findings using mathematical expressions. Each lesson is outlined in detail ...

Online

reSolve: Bifold Boxes

This lesson challenges students to use proportional reasoning to explain how changing the size of a square will affect the size of a box folded from that square. Students fold an origami box from a square of paper and record the dimensions of the resulting box. They then fold a box from a square of paper four times the ...

Online

reSolve: Time - Mission Control to ISS

This sequence of two lessons explores reading and interpreting timetables. Students are challenged to construct a daily schedule for three astronauts on the International Space Station given a series of activities and duties undertaken. They are then presented with a scenario and order the events, and add and subtract times ...

Online

reSolve: Scrabble Stats

This sequence of lessons invites students to collect data about letter frequency in a variety of text sources. They use their findings to critically evaluate letter point values in Scrabble, compare them to historical values, create their own themed Scrabble point values and to decipher an encoded excerpt of text. Each ...