Measure, estimate and calculate physical quantities and explore, describe and represent geometrical

1
Measure, estimate and calculate physical
quantities and explore, describe and represent
geometrical relationships in two dimensions in
different contexts.
2
US9008 Measure, estimate and calculate physical
quantities and explore, describe and represent
geometrical relationships in two dimensions in
different life or workplace contexts.
Modules
Topics
Notional Hours
4 4 8 6 6 2 30
TF207.45 Identifying basic shapes and measuring
angles
TF207.46 Applying the basic theorems associated
with triangles
TF207.47 Applying the basics of trigonometry.
TF207.48 Calculating the circumference and area
of various shapes.
TF207.49 Working with volume and contents.
TF207.50 Working with percentages.
Total Notional Hours
3
US9008 Measure, estimate and calculate physical
quantities and explore, describe and represent
geometrical relationships in two dimensions in
different life or workplace contexts.
Critical Cross-field Outcomes
Identify and solve problems
TF207.45 Identifying basic shapes and measuring
angles
Work effectively with others
Communicate effectively
Be able to draw, measure and identify the
various shapes that exist in the workplace and at
home.
Organise and manage myself and my activities
Collect, analyse, organise and critically
evaluate information
Be able to draw, measure and name, right angles,
acute angles, obtuse angles a circle and a
straight line.
Use science and technology effectively and
critically
Understand the concept of interior and exterior
angles of a triangle.
Be able to use a protractor to measure angles.
Demonstrate an understanding of the world as a
set of related systems
Understand the concept of angles and how they are
measured .
Use mathematics
Be able to identify all the basic shapes are
used in the things that we use in daily life.
Learner and societal development
4
Topic Specification
TF207.45 Identifying basic shapes and measuring
angles

• Learning Outcomes
• On completion of this topic the learner will be
  able to
• Identify the basic shapes associated with our
  environment
• Demonstrate understanding of the concepts of
  angles
• Use measuring equipment to measure angles
• Draw angles and shapes to scale.

• Assessment Criteria (The assessor will observe
  and confirm)
• The ability to read basic production and process
  diagrams and measure basic angles and shapes.

5
US9008 Measure, estimate and calculate physical
quantities and explore, describe and represent
geometrical relationships in two dimensions in
different life or workplace contexts.
Critical Cross-field Outcomes
TF207.46 Applying the basic theorems associated
with triangles
Identify and solve problems
Work effectively with others
Be able to calculate lengths using the theorem
of Pythagoras.
Communicate effectively
Organise and manage myself and my activities
Collect, analyse, organise and critically
evaluate information
Understand the theorem of Pythagoras and the
meaning of this theorem in practical terms.
Use science and technology effectively and
critically
Be able to identify the various types of
triangles and explain the basic theorems
associated with each type of triangle.
Demonstrate an understanding of the world as a
set of related systems
Understand the role of triangles in building
shapes.
Use mathematics
Learner and societal development
6
Topic Specification
TF207.46 Applying the basic theorems associated
with triangles

• Learning Outcomes
• On completion of this topic the learner will be
  able to
• Demonstrate understanding of the role of
  triangles in building shapes
• Identify the various types of triangles and
  explain the basic theorems associated with each
  type
• Explain the theorem of Pythagoras in practical
  terms
• Calculate lengths using the theorem of
  Pythagoras.

• Assessment Criteria (The assessor will observe
  and confirm)
• The ability to read the scales on measuring
  instruments correctly
• The ability to choose the correct instruments for
  measuring
• The ability to draw sketches correctly and
  interpret diagrams and drawings correctly.

7
US9008 Measure, estimate and calculate physical
quantities and explore, describe and represent
geometrical relationships in two dimensions in
different life or workplace contexts.
Critical Cross-field Outcomes
Identify and solve problems
TF207.47 Applying the basics of trigonometry.
Work effectively with others
Communicate effectively
Be able to apply the concepts of sine, cosine
and tangent in calculations to solve practical
problems associated with our daily work and
private life using a basic mathematical
calculator.
Organise and manage myself and my activities
Collect, analyse, organise and critically
evaluate information
Use science and technology effectively and
critically
Be able to apply the concepts of sine, cosine
and tangent in calculations to solve practical
problems associated with our daily work and
private life..
Demonstrate an understanding of the world as a
set of related systems
Use mathematics
Understand the fundamental principles of
trigonometry .
Learner and societal development
8
Topic Specification
TF207.47 Applying the basics of trigonometry.

• Learning Outcomes
• On completion of this topic the learner will be
  able to
• Demonstrate understanding of the fundamental
  principles of trigonometry
• Apply the concepts of sine, cosine and tangent
  in calculations to solve practical problems
  associated with our daily work and private life
  and
• Apply the concepts of sine, cosine and tangent
  in calculations to solve practical problems
  associated with our daily work and private life
  using a basic mathematical calculator.

• Assessment Criteria (The assessor will observe
  and confirm)
• The ability to use the basic concepts to explore
  and transform two dimensional geometric figures
  constructing rectangular triangles

9
US9008 Measure, estimate and calculate physical
quantities and explore, describe and represent
geometrical relationships in two dimensions in
different life or workplace contexts.
Critical Cross-field Outcomes
Identify and solve problems
TF207.48 Calculating the circumference and area
of various shapes.
Work effectively with others
Communicate effectively
Be able to calculate the circumference and area
of rectangular figures, triangles and circles.
Organise and manage myself and my activities
Collect, analyse, organise and critically
evaluate information
Be able to calculate the area of composite
rectangular figures.
Use science and technology effectively and
critically
Be able to calculate the area of basic figures.
Demonstrate an understanding of the world as a
set of related systems
Be able to calculate the circumference of basic
figures.
Use mathematics
Understand the basics of the decimal system and
the decimal units of measurement.
Learner and societal development
10
Topic Specification
TF207.48 Calculating the circumference and area
of various shapes.

• Learning Outcomes
• On completion of this topic the learner will be
  able to
• Demonstrate understanding of the basics of the
  decimal system and the various units of
  measurement
• Calculate the circumference and areas of basic
  figures including rectangular figures, triangles
  and circles.

• Assessment Criteria (The assessor will observe
  and confirm)
• .Clear understanding of the various units of
  measurement and their application in the
  workplace.

11
US9008 Measure, estimate and calculate physical
quantities and explore, describe and represent
geometrical relationships in two dimensions in
different life or workplace contexts.
Critical Cross-field Outcomes
Identify and solve problems
TF207.49 Working with volume and contents.
Work effectively with others
Be able to apply the calculation of volume and
content to physical objects and containers that
is used in the daily work and home life.
Communicate effectively
Organise and manage myself and my activities
Be able to convert volume into content.
Collect, analyse, organise and critically
evaluate information
Be able to calculate the volume of a right
pyramid.
Be able to calculate the volume of a cone.
Use science and technology effectively and
critically
Be able to calculate the volume of a cube.
Be able to calculate the volume of a prism.
Be able to calculate the volume of a cylinder.
Demonstrate an understanding of the world as a
set of related systems
Use mathematics
Understand the basics concepts and principles
associated with volume.
Learner and societal development
12
Topic Specification
TF207.49 Working with volume and contents.

• Learning Outcomes
• On completion of this topic the learner will be
  able to
• Demonstrate understanding of the basic concepts
  and principles associated with volume
• Estimate and calculate the volume of cubes,
  prisms, cylinders, cones, pyramids
• Calculate the volumes and convert these to
  content of various vessels used in daily work and
  private life.

• Assessment Criteria (The assessor will observe
  and confirm)
• The ability to estimate volumes and contents of
  vessels used in the workplace within acceptable
  parameters
• An understanding of the basic implications and/or
  consequences associated with the volumes of raw
  materials and/or final products within the
  production system.

13
US9008 Measure, estimate and calculate physical
quantities and explore, describe and represent
geometrical relationships in two dimensions in
different life or workplace contexts.
Critical Cross-field Outcomes
Identify and solve problems
TF207.50 Working with percentages.
Work effectively with others
Communicate effectively
Be able to apply the concept of percentages to
the problems of our daily work and personal life.
Organise and manage myself and my activities
Collect, analyse, organise and critically
evaluate information
Be able to calculate percentages in various
practical applications.
Use science and technology effectively and
critically
Demonstrate an understanding of the world as a
set of related systems
Use mathematics
Understand the concept and practical use of
percentage.
Learner and societal development
14
Topic Specification
TF207.50 Working with percentages.

• Learning Outcomes
• On completion of this topic the learner will be
  able to
• Demonstrate understanding of the practical use
  of percentages
• Calculate percentages for various practical
  applications
• Apply the concept of percentages to work and
  personal situations.

• Assessment Criteria (The assessor will observe
  and confirm)
• The ability to calculate percentages of
  production and safety results and draw relevant
  conclusions from these calculations..