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Calculating in Construction – Area of a Triangle Area of a Triangle Lesson Focus This lesson is to help learners understand the concepts involved in calculating the area of a triangle. Knowledge of the following numeracy skills: Ability to use a calculator for basic operations (multiplication) An understanding of the metric units for length mm and m An understanding of calculating a basic rectangular area How this maths skill can be reinforced on the job: Triangles are often used in construction, such as in roofing and in the construction of frames, as their shape provides stability. This skill can be reinforced when completing triangular shaped jobs such as: In Civil Construction, when coating or sealing a triangular shaped surface, when performing concrete repairs and painting or anti-graffiti treatment, when conducting grader or scraper or roller operations, when spraying tack coat, when rolling aggregate, when conducting pavement sweeping operations, when conducting road maintenance operations, when compacting asphalt, when spreading and compacting landfill and when conducting paver operations. In Offsite Construction, determining the area of a triangular shaped excavation site, when coating surfaces, in the construction of frames and windows, or in roofing. In General Construction, when preparing and laying triangular shaped concrete slabs, when repairing and renovating areas of roof tiles, when fixing plasterboard wall and ceiling sheets, when fixing or repairing wall tiles, when preparing surfaces for waterproofing or when constructing a section of brick veneer building or brick walls. In Painting and Plastering, when preparing or coating surfaces, when estimating material quantities such as wall paper, paint stripper stains, finishes, paint and when preparing wall and ceiling surfaces. In Furnishing, when preparing and laying underlay for flooring, when patching and repairing floors, when preparing surfaces for finishing , when glazing windows and doors and when costing materials for various shaped furniture. In Plumbing, when estimating quantities and costs for a job, or when calculating the size and area of triangular shaped site or job to be done, when excavating, in roofing, in the construction of frames, when calculating gable ends on buildings. Lesson time: Approximately 20 minutes Materials needed for this lesson: Two worksheets for each learner Calculator for each learner Whiteboard Construction Skills Queensland – Integrated LLN and Learning Support Strategy 1 Calculating in Construction – Area of a Triangle Lesson breakdown: The suggested lesson plan should be delivered as follows: Step Trainer / Learner Activity 1 Introduction of the area of a triangle formula 2 Worked example 1 of area of a triangle 3 Worked example 2 of area of a triangle 4 Learners complete the area of a triangle worksheets 1 and 2 with trainer support and answers Construction Skills Queensland – Integrated LLN and Learning Support Strategy 2 Calculating in Construction – Area of a Triangle 1. Introduction or explanation of the formula for the area of a triangle. Remind learners the area of a rectangle is given by the formula A L W (Area = length x width) Example The area of this rectangle: 8m A 8 5 40 m 2 5m The area of a triangle is half the area of the rectangle with the same base length and height (rectangle width) Example The area of each triangle shown is: 8m 1 A 85 2 20 m 2 5m The formula for calculating triangle area is: 1 Area base height 2 or in symbols: 1 A bh 2 Construction Skills Queensland – Integrated LLN and Learning Support Strategy 3 Calculating in Construction – Area of a Triangle 2. Example 1 Find the area of the triangle below 3.2 m 4.5 m 1 A 4.5 3.2 2 7.2 m 2 Note: with a calculator we type 0.5 x 4.5 x 3.2 = 3. Example 2 Find the area of this triangle. 3.6 m 8m 1 A 8 3.6 2 14 .4 m 2 4. Learners complete the worksheets with trainer assistance or answers available. Construction Skills Queensland – Integrated LLN and Learning Support Strategy 4 Calculating in Construction – Area of a Triangle Construction Skills Queensland – Integrated LLN and Learning Support Strategy 5 Calculating in Construction – Area of a Triangle Area of a Triangle Worksheet Answers Construction Skills Queensland – Integrated LLN and Learning Support Strategy 6 Calculating in Construction – Area of a Triangle Area of a Triangle Worksheet 2 1. Which has the larger area, the triangle or the shaded area and by how much is it bigger? 55 mm 46 mm 2. The scoop on this front end loader is made up of 2 triangles and 2 rectangles welded together. What is the area of metal needed to make the scoop? 3. Calculate the area of the site shown below. 6m 5m 18 m 4m . 5m 26 m . Construction Skills Queensland – Integrated LLN and Learning Support Strategy 7 Calculating in Construction – Area of a Triangle Construction Skills Queensland – Integrated LLN and Learning Support Strategy 8

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posted: | 9/21/2011 |

language: | English |

pages: | 8 |

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