Mathematics in the ICT Scheme of Work

ICT Unit 1b - To communicate ideas by selecting and adding text
Linked to the Framework for teaching mathematics: Year 1

Integrated Task

Prepare a screen containing images of 2D or 3D shapes, and a word bank with words the children would need to describe those shapes.

Show representations of the shapes, perhaps using an interactive whiteboard or data projector. Discuss the properties of the shapes and ask the children to describe them. Draw attention to the key vocabulary featured in the word bank, eg rectangle, square, faces, corners.

Ask the children to produce a description of the shapes using the word bank, together with some words they have typed in using the keyboard, eg This is a rectangle. It has four side s. The 2D or 3D shapes could also be imported into the word banks, so that the children could select the images as well as the text to communicate their ideas.

The children could print their work, with support if necessary.

ICT Unit 2D - To develop and record sequences of instructions to control a floor turtle, and to predict test results
Linked to the Framework for teaching mathematics: Year 2

Integrated Task

Base this activity on any text the children have read which has a number of related locations, eg Katie Morag and the Two Grandmother s. Help the children to draw a large floor map (in this case, to map out Struay). Mark on the map the places mentioned in the story, and their physical and human features.

Explain to the children that they will use the techniques learnt in this unit to program the robot or turtle to visit parts of the island. The robot could become a character, eg Katie Mora g, who has post to deliver.

The children work in groups to test and amend, where necessary, a sequence of instructions which will guide the turtle to different parts of the island to deliver the post. They should use a common recording method, eg ‘F’, a red arro w, for ‘forwards’, and include the turtle units. Remind the children that a right angle is a measure of a quarter turn and that they need to use half and quarter turns. Refer to quarter turns as right-angled turns in both clockwise and anti-clockwise directions.

Encourage the children to talk about their sequences as a group, to predict results, and to modify the sequence of instructions as it develops. When they have completed the task, they could describe their methods to the whole class and compare their route with others, explaining why they chose a particular route and how they made their final decisions.

Learning Outcomes

  • develop and record sequences of instructions for moving along a route in straight lines and round right-angled corners.

 

ICT Unit 2E -

  • To prepare data for a database
  • to use the search tool on a simple database to find out the answers to specific questions
  • to present findings
    Linked to the Framework for teaching mathematics: Year 2

Integrated Task

Gather together a collection of mathematical shapes in different sizes and colours. Show them to the children, asking them to choose a shape and to think of two or three attributes to go with it, eg it has six faces, can roll, is re d.

Ask one of the children to put all the shapes in a bag, take one out and then hide it. The other children have to ask questions in order to elicit enough information to deduce what the shape is. Demonstrate a range of questions that require yes/no answers or answers that are numbers or colours, for example.

Having prepared a data file in advance, help the children enter a small amount of data about the shapes into a limited range of fields.

Prepare a list of questions that require the children to use the search tool on the database to answer specific questions, eg What colour is the triangle? How many sides does it have? Include a question for which no data is available. The children could work in pairs to retrieve the appropriate record. Encourage them to recognise that the same questions can be asked about all the shapes in the data file.

Ask the children to demonstrate to the whole class, using an interactive whiteboard or data projector, how they used the search tool to find the answer to the question.

Learning Outcomes

  • collect information for a database
  • use the search tool to find the answers to simple questions
  • understand that questions cannot be answered if the relevant data has not been entered into the database

 

ICT Unit 4B To use the skills and techniques they have learnt to organise and communicate ideas to elect suitable information and prepare it for processing, using ICT
Linked to religious education unit 3B ‘How and why do Hindus celebrate Divali?’

Integrated Task

Show the children designs of colourful geometric rangoli patterns. Use both simple and detailed designs, and discuss how they make us feel. Explain the purpose of rangoli patterns and their use within the festival of Divali. Encourage the children to recognize reflective symmetry in the shapes. Point out that the patterns usually have two axes of symmetry. Tell the children they are going to make a rangoli pattern using different media.

Ask the children to apply the key skills and various techniques they have learnt in the unit to create rangoli patterns with two axes of symmetry. They could also incorporate scanned images of rangoli to make composite images. They should review work in progress and amend the designs, saving draft versions.

Print out some examples of draft and final patterns and compare them. Ask the children to talk about the changes they made to their work in progress. Compare all the patterns made using different media. Which effects were easier to produce with ICT? Which were harder to produce?

Learning Outcomes

  • use a variety of media to make rangoli patterns with two axes of symmetry

ICT Unit 4C To use a branching database to organise, reorganise and analyse
Linked to the Framework for teaching mathematics: Year 4

Integrated Task

Demonstrate how to create a branching database. For example, make a poster showing the branching structure, so that children can see how the computer version is constructed.

Explain to the children that they are going to work in pairs to produce a branching database to identify six different 2D shapes. Remind them of the need to construct yes/no questions, and discuss the sort of questions that might be asked, eg Is it regular? Are all its angles right angles? Has it got more than three vertices? Discuss why a question such as ‘How many sides does it have?’ would not work. The discussion could be a whole-class teaching activity, using a data projector to show the shapes as children talk.

The children work in pairs to create a branching database that identifies each shape. Ask each group to test the others’ databases.

This activity could be repeated with 3D shapes, or with both types of shape in the same database, to increase the level of difficulty.

Learning Outcomes

  • create a branching database which identifies 2D or 3D shapes

 

ICT Unit 4C To use a branching database to organise, reorganise and analyse
Linked to the Framework for teaching mathematics: Year 4

Integrated Task

Demonstrate how to create a branching database. For example, make a poster showing the branching structure, so that children can see how the computer version is constructed. Remind the children of the need to construct yes/no questions.

Tell the children they are going to work in pairs to produce a branching database to identify six different numbers. Discuss the sort of questions that might be asked, eg Is it a multiple of 4? Is it divisible by 5? Is it an odd number? Draw attention to the key language they could use, eg product, multiple, divisible by, factor, quotient, remainder.

The children work in pairs to create a branching database that identifies each number. Ask each group to test the others’ databases.

Learning Outcomes

  • create a branching database which identifiessix different numbers

 

ICT Unit 4E To write a repeating procedure to produce a desired outcome
Linked to the Framework for teaching mathematics: Year 4

Integrated Task

Based on the short focused tasks, ask the children to predict what will be drawn if they enter the following sequence: repeat 360 [forward 1 right 1]. Ask them to test their predictions.

Explain that there are 360 degrees or four right angles in a whole turn or circle, and that the symbol ‘/’ means ‘divide’ in Logo. Ask the children to try out the following sequence: repeat 4 [forward 100 right 360/4]. Ask questions, eg

– Does the same thing happen when you use a left turn?

– How many right angles does this give?

– How many times would you need to repeat the sequence to draw a shape with half a right angle?

– What shape is drawn?

Ask the children to predict what will happen if they enter the following sequence:

repeat 5 [forward 100 right 360/5]. Ask them to test their hypotheses.

Carry out this activity for other polygons, and discuss the properties of the shapes the children have drawn. Are they regular?

Ask the children to measure the angles of the shapes they have drawn, either on screen or from printouts. Ask the children to use a calculator to work out the solution to some of the equations they have used, eg 360 d 4, 360 d 3. What do they notice?

Ask the children to write a procedure based on the above for a hexagon, square and triangle, and to try out the following sequence: repeat 20 [square right 10]. Can they change this to complete the pattern, and make similar patterns using the procedures they have written for the hexagon and triangle?

Learning Outcomes

  • learn how to write procedures using standard commands
  • learn to combine procedures to produce a desired effect

 

ICT Unit 5B To use complex searches to locate information to use ICT to test a hypothesis
Linked to the Framework for teaching mathematics: Year 5

Integrated Task

As part of numeracy work, ask the class to create 2D shapes on a grid, pinboard or geoboard, and then draw them on cm 2 paper. Give each of the shapes an imaginary name. Investigate and record the properties of each shape.

With the children’s help, design a database. The children may ask questions about the shapes, eg What is the shape called? How many internal right angles does it have? Does it look the same if you rotate it 90 degrees? How many of its internal angles are acute? How many are obtuse? How many lines of symmetry does it have? How many sides has it got? Does it tessellate?

Fields on the database could include: imaginary name, right angles, acute angles, obtuse angles, mirror lines, sides, tessellate.

Ask the children to enter details of their shapes onto the database, using their drawings on cm 2 paper. Remind the class how general questions may be answered by searching the file, eg How many shapes have right angles? How many shapes with right angles tessellate?

Show the class a paper shape without its imaginary name. How can the file be used to find the name? Demonstrate strategies for identifying shapes by searching for attributes. Aim to narrow down the records so that only one remains. If this cannot be done, discuss what further information is needed, eg the information required to distinguish a square from a rectangle. Remind the class how to restore all records following a search.

Now ask the children to find the name of each shape by searching the file.

Finally, develop questions about all the shapes. Can the children suggest ideas about particular families and their properties, eg Is it true or false that all four-sided shapes have at least one right angle? Do all shapes with four sides tessellate? Use the file to answer the questions.

Learning Outcomes

  • narrow down a complex search
  • recognise that by asking questions about all the records in a file, we can test hypotheses about the collection

 

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