Mathematical Literacy Level 2 Module 8

Mathematical Literacy NQF 2 Downloaded from hlayiso.com Maths Lit NQF Level 2

Making models and plans to solve problems Module 8 Downloaded from hlayiso.com Maths Lit NQF Level 2

Overview 8.1 Make 2-D scale cut-outs of the top view of 3-D objects 8.2 Building 3-D scale models 8.3 Practical investigation: Model of a small house Downloaded from hlayiso.com Maths Lit NQF Level 2

Make 2-D scale cut-outs of the top view of 3-D objects Unit 8.1 • A practical way to work with a floor plan is to make cut-outs of objects such as furniture to exactly the same scale as the floor plan. • Arrange these in the space on the plan. Downloaded from hlayiso.com Maths Lit NQF Level 2

Make 2-D scale cut-outs of the top view of 3-D objects continued… Unit 8.1 Method to make and arrange 2-D cut-outs of 3-D objects Materials • You need: • grid paper • ruler • pencil • paper for furniture cut-outs • sticky putty Downloaded from hlayiso.com Maths Lit NQF Level 2

Make 2-D scale cut-outs of the top view of 3-D objects continued… Unit 8.1 Method to make and arrange 2-D cut-outs of 3-D objects Step 1 • Choose the length and width of the room in metres. • Decide on the measurements of the windows, doors, and all fixtures and furniture that you want to show on the plan. • Write down the measurements. • Convert all your measurements to the same unit. Downloaded from hlayiso.com Maths Lit NQF Level 2

Make 2-D scale cut-outs of the top view of 3-D objects continued… Unit 8.1 Method to make and arrange 2-D cut-outs of 3-D objects Step 2 • Draw the plan of the room. A typical scale is 2 cm represents 1 metre. • Use grid paper and mark positions of the windows and doors, using the correct floor plan symbols. • Mark the positions and sizes of any built-in furniture. Downloaded from hlayiso.com Maths Lit NQF Level 2

Make 2-D scale cut-outs of the top view of 3-D objects continued… Unit 8.1 Method to make and arrange 2-D cut-outs of 3-D objects Step 3 • Decide on the length and width of each piece of furniture. • Draw their outlines on grid paper, using the same scale as the floor plan. • Cut them out. Downloaded from hlayiso.com Maths Lit NQF Level 2

Make 2-D scale cut-outs of the top view of 3-D objects continued… Unit 8.1 Method to make and arrange 2-D cut-outs of 3-D objects Step 4 • Arrange the cut-outs on the floor plan. Stick them in place. Arrange the furniture according to the function of the room so that people can move around easily. • Do not block the doors and the pathways. Downloaded from hlayiso.com Maths Lit NQF Level 2

Exercise 8.1 Unit 8.1 Complete Exercise 8.1 on page 157 of your Student’s Book Downloaded from hlayiso.com Maths Lit NQF Level 2

Building 3-D scale models Unit 8.2 • Architects and designers often produce 3-D models of their building designs to show their clients. • The model shows exactly what the house will look like. • The measurements of the model are correct to the scale of the house. Client A person who uses the services of a professional person, like a customer. ” Downloaded from hlayiso.com Maths Lit NQF Level 2

How to make a model building Unit 8.2 Materials • measurement tools - rulers, tape measures, grid paper and floor plans • materials for the models e.g. corrugated cardboard, foam board, paper, recycled materials • tape, paper glue, wood glue • cutting tools, scissors, craft knives • materials to decorate the house e.g. paint, paper coverings, clear plastic for windows. Downloaded from hlayiso.com Maths Lit NQF Level 2

How to make a model building Unit 8.2 The Process • Measure and decide on the scale. Start with a 2-D floor plan. • Get all the measurements of the house e.g. the highest and lowest points of the roof, the door and window sizes. • Convert all your measurements according to your scale. • Draw a draft of all parts of the model. Use the scale measurements. Downloaded from hlayiso.com Maths Lit NQF Level 2

How to make a model building Unit 8.2 The Process • Glue the drawings and the floor plan onto cardboard. Downloaded from hlayiso.com Maths Lit NQF Level 2

How to make a model building Unit 8.2 The Process • Put the board onto a cutting mat (if available). Cut out the images with a craft knife and ruler. Downloaded from hlayiso.com Maths Lit NQF Level 2

How to make a model building Unit 8.2 The Process • Check all the pieces against the floor plan. Downloaded from hlayiso.com Maths Lit NQF Level 2

How to make a model building Unit 8.2 The Process • Fold the net of the house to form the house walls. Glue or tape them into place. Downloaded from hlayiso.com Maths Lit NQF Level 2

How to make a model building Unit 8.2 The Process • Check that the roof fits and glue it together. This can rest on top of the house. Downloaded from hlayiso.com Maths Lit NQF Level 2

Example 8.1 page 155 continued ... Unit 8.1 • Draw a floor plan of a living room using the scale 1 : 50. • Make cut-outs of the furniture you want to arrange in it to the same scale, and show how you would arrange it. Downloaded from hlayiso.com Maths Lit NQF Level 2

Example 8.1 page 155 continued ... Unit 8.1 Step 1: Draw a room of length 4 m and breadth 4 m. Imagine there are two windows and one door. The plan will not show the height of the windows and doors, just the width. The door and windows are all 1 m wide. Downloaded from hlayiso.com Maths Lit NQF Level 2

Example 8.1 page 155 continued ... Unit 8.1 Step 2: Draw the room outline. Use the correct symbols for walls, windows and doors to show these on the plan. Mark the position and size of any built-in furniture on the plan. For example, there is a built-in cupboard in one corner of the room. Downloaded from hlayiso.com Maths Lit NQF Level 2

Example 8.1 page 155 continued ... Unit 8.1 Step 3: Decide on the length and width of each piece of furniture that you want to arrange in the space. Make cut-outs of the furniture pieces to exactly the same scale as the floor plan. Draw the outlines of all the pieces of furniture on the same grid paper and to the same scale as the room plan. Downloaded from hlayiso.com Maths Lit NQF Level 2

Example 8.1 page 155 continued ... Unit 8.1 Downloaded from hlayiso.com Maths Lit NQF Level 2

Example 8.1 page 155 continued ... Unit 8.1 Step 4: Arrange the cut-outs of the furniture on the floor plan. Move them around until you are satisfied that they are in the best position. Downloaded from hlayiso.com Maths Lit NQF Level 2

Practical Investigation Unit 8.2 Downloaded from hlayiso.com Maths Lit NQF Level 2

Module assessment Module 8 Complete Module assessment on page 161 of your Student’s Book Downloaded from hlayiso.com Maths Lit NQF Level 2

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