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fractions

The Folding Problem

Create squares, triangles and oblongs by folding paper

Identify and describe shapes

Devise and use problem solving strategies to explore situations mathematically (guess and check).

Th numbers

In this activity students learn that the code in English for fraction is that the words end in -“th”

Ratios

In this unit we use the theme of drinks to develop an understanding of ratios. It is suitable for students working at Level 5 of the curriculum or Stage 8 of the Number Framework. The unit provides a sequence of demonstrations and questions to help guide students' learning. It includes activities that require students to convert between the metric units for capacity, and to use their knowledge of fraction, decimal and percentage conversions. Students use proportional thinking to explore, compare and combine ratios. The unit concludes with a session on rates (a subset of ratios).

How Can You Measure This?

In this unit students, working in groups of 2 to 4, carry out and report on a series of investigations involving decisions about how to measure something. The four investigations suggested are:

What’s In a Newspaper?
Students calculate what fraction of a newspaper is devoted to news, sport, advertisements and other categories of information.

Are You a Square?
Students determine whether their height is equal to, greater or less than, the distance from end to end of their outstretched arms.

How Far Do You Walk?
Students work out approximately how far they walk in one year.

How Thick Is It?
Students decide how to measure a length that cannot be measured directly – for example the thickness of a wall of their classroom.

In each investigation the students follow the same sequence:

  1. Make sure they understand the problem
  2. Discuss and decide on three different strategies for tackling the problem
  3. Complete a table to assess the merits of each strategy
  4. Use the best strategy for conducting the investigation
  5. Record their methods and results

 

All Shapes and Sizes

This unit brings together a number of valuable mathematical ideas using the practical context of international paper sizes. In this context, the number √2 appears naturally as do arithmetic and geometric means. The international paper formats provide a way for students to practice some basic algebra by finding the general terms of patterns and then using these general expressions to find other specific terms. More algebra is present in the continued fractions of the last session. Students are also encouraged to practice their measuring skills with the aim of furthering their knowledge about the paper formats that are the subject of this unit.

Simple Angles

identify and construct right, acute and obtuse angles

begin to appreciate the degree, unit of measurement of angle

know the degree value of angles that are simple fractions of a whole turn

know that the angle at a point is 360°

Probability Distributions

This unit aims to introduce students to concepts that are important in probability.The emphasis should be on working slowly taking the time to let the students grasp the ideas that underlie the activities presented. All the ideas are important as a base for future learning in this area of mathematics.

Spinners

This unit uses one of the digital learning objects, Spinners, to support students as they explore probability. It includes problems and questions that can be used by the teacher when working with a group of students on the learning object, and ideas for independent student work.

I'm Spinning

This week we use spinners to develop our understanding of the probability of simple events occurring.

What's in the bag?

In this unit we experiment with cubes to make predictions about likelihood based on our observations. With these experiences the students find out that with probability there is no way of knowing for sure that will happen.


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