Scheme of work

Guided learning hours (GLH): 30

Number of lessons: 30

Duration of lessons: 1 hour

Learners should spend lesson time and non-supervised time working on assignments.

Lesson / Unit content* / Activities / Links to other units
1 / Unit introduction / Teacher/tutor presentation (approx. 10 minutes)–outline the nature of the learning aims and the number of assignments that learners will be expected to complete.
Learning aim A:Understand the effects of forces and temperature changes on materials used in construction
1 (cont.) / Topic A.1: Effect of forces
Understand the effect of forces on construction materials.
Identifying the type and nature of forces:
  • gravitational forces
  • forces as loads
  • F = ma.
/ Teacher/tutor presentation, explaining nature of forces and relationship between mass and force or weight.
Individual or paired activity: learners to carry out simple calculations to convert mass of construction materials into forces/loads.
2 / Understand the effect of forces on construction materials.
Effect of forces:
  • compression and tension
  • shear and bending.
/ Teacher/tutor presentation, explaining effect of forces.There are plenty of videos available online that you can use to show these effects.
Individual or paired activity: learners to complete an activity converting the mass of construction materials into the force that they exert, using web or any other relevant resources.
3 / Understand the effect of forces on construction materials.
Effect of forces:
  • material stress.
/ Teacher/tutor presentation, explaining stresses in materials.
Learner activity: carry out simple calculations to calculate area, stress, strain and Young’s modulus of elasticity. Learners to work individually or in pairs.
4 / Understand the effect of forces on construction materials.
Effect of forces:
  • strain.
/ Teacher/tutor presentation, explaining nature and effect of forces.
Learner activity:learners to carry out simple calculations to calculate strains and change in length.
5 / Understand the effect of forces on construction materials.
Effect of forces:
  • modulus of elasticity.
/ Teacher/tutor presentation, explaining nature and effect of forces.
Learner activity:learners to carry out simple calculations to calculate modulus of elasticity and change in length.
6 / Understand the effect of forces on construction materials.
  • Hooke’s law (F = –Kx).
/ Teacher/tutor presentation, explaining Hooke’s law.
Learner activity:learners can carry out the experiment or the teacher/tutor can give a demonstration, either in the class or using web/video resources. Learners should record their observations.
7 / Topic A.2: Changes in temperature
Understand how changes in temperature affect construction materials.
  • Common construction materials: cement, aggregates, concrete, timber, masonry, plastics, steel, aluminium.
/ Teacher/tutor presentation, explaining common construction materials.
Learner activity:learners to carry out investigation of how common construction materials are manufactured or made and how they react to changes in temperature. The investigation should be facilitated by continuous guidance from the teacher/tutor. Learners should record their observations.
8 / Understand how changes in temperature affect construction materials.
  • Heat storage.
/ Teacher/tutor presentation, explaining changes of state and associated key terms.
Learner activity:learners to carry out experiment or teacher/tutor can give demonstration, either in the class or using web/video resources. Learners should record their observations.
9 / Understand how changes in temperature affect construction materials.
  • Heat storage.
/ Teacher/tutor presentation, explaining heat storage and associated key terms.
Learner activity:learners to carry out simple calculations to calculate heat storage.
10 / Understand how changes in temperature affect construction materials.
  • Specific heat capacity.
/ Teacher/tutor presentation, explaining specific heat capacity and associated key terms.
Learner activity:learners to carry out simple calculations to calculate specific heat capacity.
11 / Understand how changes in temperature affect construction materials.
  • Thermal conductivity and thermal resistance.
/ Teacher/tutor presentation, explaining thermal conductivity and thermal resistance, and associated key terms.
Learner activity:learners to carry out simple calculations to calculate thermal resistance and required thickness of a material.
12 / Understand how changes in temperature affect construction materials.
  • Coefficient of linear expansion.
/ Teacher/tutor presentation explaining thermal expansion and coefficient of linear expansion.
Learner activity:learners to carry out simple calculations to calculate coefficient of linear expansion for various materials.
13 / Understand how changes in loading and temperature affect construction materials. / Group activity: learners to make a list of materials being used in a building and the reasons for their specific use. This can be the house they live in or the school building.
Group discussion: learners to discuss and present their findings on:
  • effect of loading on materials
  • effect of temperature changes on these materials.

14 / Understand how changes in loading and temperature affect construction materials. / Group activity: learners to continue work on the previous task and to suggest alternative materials, giving reasons for their choices.
Learner activity:complete revision exercises to refresh knowledge of learning aim A before learners begin assignment.
15 / Assignment 1 / Teacher/tutor input: give an overview of assignment requirements, the nature of the assessment and the timeline for completion and submission.
Learner activity: work on assignment.
Lesson / Unit content* / Activities / Links to other units
Learning aim B: Use mathematical techniques to solve construction problems
16 / Topic B.1: Algebraic and graphical methods
  • Rearranging formulae: simple formulae.
/ Teacher/tutor presentation, explaining the techniques of rearranging formulae.
Learner activity: learners to carry out exercises to change subject of simple formulae containing three variables, working individually or in pairs.
17 /
  • Rearranging formulae: complex formulae.
/ Teacher/tutor presentation, explaining the techniques of rearranging formulae.
Learner activity: learners to carry out exercises to change subject of simple formulae containing complex formulae involving indices, square roots and trigonometric functions, working individually or in pairs.
18 /
  • Substituting values into and evaluating formulae.
/ Teacher/tutor presentation, explaining the techniques of evaluating formulae.
Emphasise the importance of the accuracy of calculations.
Learner activity: learners to carry out exercises to determine numerical value of formulae.
19 /
  • Solving equations.
/ Teacher/tutor presentation, explaining the techniques of solving linear equations.
Emphasise the importance of the accuracy of calculations. Encourage the use of approximation to check answers.
Learner activity: learners to carry out exercises to solve linear equations.
20 /
  • Cartesian coordinates.
/ Teacher/tutor presentation, explaining Cartesian coordinates and the techniques to plot these.
Emphasise the importance of the accuracy of calculations.Encourage the use of approximation to check answers.
Learner activity: learners to carry out exercises to plot Cartesian coordinates.
21 /
  • Gradient and intercept.
/ Teacher/tutor presentation, explaining gradient and intercept and how it relates to solving construction problems.
Emphasise the importance of the accuracy of calculations.Encourage the use of approximation to check answers.
Learner activity: learners to carry out exercises to determine gradient and intercept.
22 / Topic B.2: Mensuration
  • Area of square, rectangle, triangle, circle and trapezium.
/ Teacher/tutor presentation, explaining how to calculate areas of various shapes and how that relates to solving construction problems.
Emphasise the importance of the accuracy of calculations.Encourage the use of approximation to check answers.
Learner activity: learners to carry out exercises to determine areas of square, circle, triangle, circle and trapezium.
23 /
  • Cross-sectional areas of an I-section beam.
  • Cross-sectional area of a drainage pipe.
/ Teacher/tutor presentation, explaining how to calculate area of various construction components such as an I beam and a drainage pipe.
Emphasise the importance of the accuracy of calculations.Encourage the use of approximation to check answers.
Learner activity: learners to carry out exercises to determine the area of given construction components.
24 /
  • Area of plot of land laid out as a trapezium.
  • Surface area of a cone.
/ Teacher/tutor presentation,explaining how to calculate area of land laid out as a trapezium, as well as surface area of a cone. This could be done by measuring a piece of land, where possible.
Emphasise the importance of the accuracy of calculations.Encourage the use of approximation to check answers.
Learner activity: learners to carry out exercises to determine the area of given shapes of land.
25 /
  • Volume of a cylinder and a cube.
/ Teacher/tutor presentation explaining how to calculate volume of a cylinder and a cube.
Emphasise the importance of the accuracy of calculations.Encourage the use of approximation to check answers.
Learner activity: learners to carry out exercises to determine these areas.
26 /
  • Volume of a prism and a cone.
/ Teacher/tutor presentation explaining how to calculate volume of a prism and a cone.
Emphasise the importance of the accuracy of calculations.Encourage the use of approximation to check answers.
Learner activity: learners to carry out exercises to determine the areas of given prisms and cones.
27 / Topic B.3: Trigonometry
  • Trigonometric functions.
  • Applications: pitched roofs.
/ Teacher/tutor presentation explaining the basic trigonometric functions (sin, cos and tan) as well as their applications in calculating pitch of a roof.
Emphasise the importance of the accuracy of calculations.Encourage the use of approximation to check answers.
Learner activity: learners to carry out exercises to determine these functions and calculate the pitch of a roof.
28 /
  • Applications: staircase design.
/ Teacher/tutor presentation explaining the application of trigonometric functions in deciding the design of a staircase.
Emphasise the importance of the accuracy of calculations.Encourage the use of approximation to check answers.
Group activity: learners can measure an actual staircase to understand the application of trigonometric functions.
Learner activity: learners to carry out exercises to determine the height, width and pitch of a staircase.
29 /
  • Applications: squareness and alignment.
/ Teacher/tutor presentation explaining the application of trigonometric functions in confirming squareness and alignment. This could be achieved by measuring diagonal length of a classroom, followed by exercises.
Emphasise the importance of the accuracy of calculations.Encourage the use of approximation to check answers.
Learner activity: learners to carry out exercises to determine diagonal lengths or heights, with the help of given data.
Learners to complete revision exercises to refresh knowledge of learning aim B before beginning assignment.
30 / Assignment 2 / Teacher/tutor input: give an overview of assignment requirements, the nature of the assessment and the timeline for completion and submission.
Learner activity: work on assignment.
TOTAL: 30 hours

*See the specification for full details of unit content.

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