Mathematical Literacy Level 3 Module 8

Mathematical Literacy NQF 3 Downloaded from hlayiso.com Maths Lit NQF Level 3

Use physical and diagrammatic representations to investigate problems and illustrate solutions in workplace contexts Module 8 Downloaded from hlayiso.com Maths Lit NQF Level 3

Overview 8.1 Investigating various packaging arrangements 8.2 Determine the number and placement of furniture in a venue considering free space for movement 8.3 Building 3D scale models of objects from 2D plans Downloaded from hlayiso.com Maths Lit NQF Level 3

Investigating various packaging arrangements Unit 8.1 We can use diagrams and models to investigate the most efficient ways to package products. We can use our knowledge of circles, squares, rectangles, triangles to make a model. Downloaded from hlayiso.com Maths Lit NQF Level 3

Example 8.1 page 148 Unit 8.1 1. Mapitsi needs to arrange cans on a refrigerated shelf in a supermarket. The cans have a diameter of 52 mm. • The shelves have the dimensions 0,5 m × 0,4 m. • Cans are packed in one layer only. What is the best possible arrangement of cans to make the most efficient use of space? Downloaded from hlayiso.com Maths Lit NQF Level 3

Example 8.1 page 148 Unit 8.1 Scale 1 : 10 0,5 m 0,5 m 0,4 m 0,4 m 1 2 • Can diameter: 52 mm = 5,2 cm • Shelves: 0,5 m = 50 cm and 0,4 m = 40 cm • 50 ÷ 5,2 = 9,61 and 40 ÷ 5,2 = 7,69 • Two possible arrangements: The first has 9 in a row × 7 in a column = 63 cans The second has 4 rows of 9 and • 4 rows of 8 = (4 × 9) + (8 × 4) = 68 cans • The second arrangement allows Mapitsi to pack more cans on the shelf. Downloaded from hlayiso.com Maths Lit NQF Level 3

Exercise 8.1 Unit 8.1 Complete Exercise 8.1 on page 150 of your Student’s Book Downloaded from hlayiso.com Maths Lit NQF Level 3

Case Study Unit 8.1 Complete Case Study on page 151 of your Student’s Book Downloaded from hlayiso.com Maths Lit NQF Level 3

Determine the number and placement of furniture in a venue considering free space for movement Unit 8.2 Useful tips • Make cut-outs of objects to fit the scale of the floor plan exactly. • Arrange them in the space and move them until you find the best arrangement. • Always consider the function of the furniture or objects. Downloaded from hlayiso.com Maths Lit NQF Level 3

A method to arrange the furniture Unit 8.2 at a restaurant 1 Decide on the size of your restaurant and kitchen, restrooms, server stations and bar. 2 Decide on the numbers of customers you expect to have in the restaurant at any one time. 3 Use a scale of 1 : 50 to sketch the floor plan, including doors, windows and emergency exits. 4 Select table sizes for small and large groups of people. 5 Make cut outs of the furniture to the same scale as the floor plan. Downloaded from hlayiso.com Maths Lit NQF Level 3

A method to arrange the furniture Unit 8.2 at a restaurant 6 Try out different layouts. Aim for at least 1,4 m2 (1,18 × 1,18 m) per customer for comfort. 7 Leave enough space between the tables for customers and servers to pass through. 8 Leave a clear path to fire exits. Downloaded from hlayiso.com Maths Lit NQF Level 3

Exercise 8.2 Unit 8.2 Complete Exercise 8.2 on page 153 of your Student’s Book Downloaded from hlayiso.com Maths Lit NQF Level 3

Building 3D scale models of objects from 2D plans Unit 8.3 Practical investigation / assignment Task 1 : Design your own restaurant. Work in two dimensions, to investigate how to arrange furniture in your designed room. 1. Use A3 paper to sketch some ideas for a floor plan of the restaurant. Your ideas should show the shape of the floor, the shapes and positions of all the tables, the positions of the kitchen and toilets. Downloaded from hlayiso.com Maths Lit NQF Level 3

Building 3D scale models of objects from 2D plans Unit 8.3 Practical investigation / assignment Task 1 : 2. Now use another A3 paper and sketch ideas showing what the front of the restaurant might look like, i.e. a front view or elevation. These sketches need to show the shape of the roof, the height of the building, the position and size of the front doors and windows. Downloaded from hlayiso.com Maths Lit NQF Level 3

Building 3D scale models of objects from 2D plans Unit 8.3 Practical investigation / assignment Task 1 : • Your restaurant must be able to seat and serve at least 100 people at any one time. • There should be enough doors and space for customers (including disabled people) to come and go easily. • The servers need to be able to move easily between the tables and the kitchen. • Windows and doors help the building to be well-lit and to have fresh air. Downloaded from hlayiso.com Maths Lit NQF Level 3

Building 3D scale models of objects from 2D plans Unit 8.3 Practical investigation / assignment Task 2 : Make a model of your restaurant. Apply everything you know about plans and scale. • Follow the steps provided to make a simple model of your restaurant out of cardboard Downloaded from hlayiso.com Maths Lit NQF Level 3

Practical Investigation page 153 Downloaded from hlayiso.com Maths Lit NQF Level 3

Module assessment Module 8 Complete Module assessment on page 156 of your Student’s Book Downloaded from hlayiso.com Maths Lit NQF Level 3

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