This resource from Inquiry Maths explores the interpretation of distance-time graphs.

Distance-time graph...

A person is shown spinning around on a playground ‘carousel’ before getting off and walking away. The task is to graph the distance of the person from the centre of the carousel against time. Whilst the person is spinning on the carousel the resulting graph shows that distance is constant. This story can be used as...

A person is shown exercising using weights whilst lying on a bench.  As the weight is lifted the arms of the person curl around, so that the distance from the bench is not linear with time. As the exercise progresses it takes longer to do each bench press. Finally the weights are placed back on the resting stand....

A person is shown spinning around on a playground ‘carousel’ before getting off and walking away. The task is to graph the distance of the person from the camera against time. The resulting graph has periodicity and non-linear elements. This story can be used as a complement to ‘Distance from centre of carousel’...

A player is shown on a baseball pitch. They run around the bases before returning to the home plate. The speed varies between the different bases. The task is to draw a graph of the player’s distance from the home plate against time. The graph shows linear piecewise sections.

Distance from the home...

Act 1

Two ditch diggers start digging towards each other...

This resource, from the Centre for Innovation in Mathematics Teaching, uses diagrams to illustrate division by a fraction and, to clarify the common misconception identified with this task, prompts students to rethink the statement, divide three by one quarter, as the number of quarters that fit into three....

This task is designed to assess how well students understand working with recurring decimals in practical situations.

The task gives students the information that when you calculate 100 ÷ 6 using a calculator, the result is 16. 666666667

They use this information to arrive at answers to a series of...

The first interactive sheet shows fractions where the numerator is 1. The fraction is converted into a decimal by long division and illustrated as the fraction of a circle. The denominator can be altered to be between 1 and 9. The next two sheets also show long division...

This SMILE resource contains two packs of games, investigations, worksheets and practical activities supporting the teaching and learning of division, from simple division problems to converting between fractions and decimals.

Division pack one contains thirteen work cards with activities...

Teachers often battle with students’ inability to make links between their learning across subjects. For example: in science, after collecting data from an experiment, students are required to draw a graph of their results and describe what the graph shows. As as soon...

Published in 2016.  Mathematics anxiety (MA) is the state of discomfort around the performance of mathematical tasks. Does MA cause poor performance in mathematics, or is it poor performance in mathematics that causes MA? The question is important, because it affects the “treatment” that results. Should the focus...

In this resource from stats4schools, students are asked to consider whether the popularity of getting married has changed over time. Students interpret a time series graph and answer questions on it and discuss qualities for a good marriage. They investigate further using the internet.

This article, from the Association of Teachers of Mathematics (ATM) publication ‘Mathematics Teaching’, is written by Pete Griffin and taken from MT227.

The notion of ‘understanding’ and its place in the learning process is often placed in sharper focus when considered in the context of learning and teaching...