Mensuration
| Philosophy of Mathematics |
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Concept Map
Additional Resources
OER
- List web resources with a brief description of what it contains; how it can be used and whether it can be by teacher/ student or both
- Primary resources : Website gives printable resources for understanding measurements.
- Campusgate: An overview on mensuration is given in this website.
- Wikipedia: For general rules while writing units in measurements is described in this web page.
- Books and journals
- Textbooks
- Syllabus documents
Non-OER
- List web resources with a brief description of what it contains; how it can be used and whether it can be by teacher/ student or both
- Books and journals
- Textbooks
- Syllabus documents (CBSE, ICSE, IGCSE etc)
The metric system is enormously powerful as a standard measurement system. In this video, you can explore from the very small to the very large and appreciate what a degree of ten means!
Slides with problems and options for solutions.
Learning Objectives
- Recognizing informal units of measurements
- Differentiating standard and non-standard ways of measurements.
- Understanding importance of having standardized measurements.
- Justifying accuracy of Standard units of measurements
- Relating length,breadth,perimeter ,area
- Recognizing different units
- Classifying 2D and 3D figures
- Calculating the area, perimeter, volume or side of many different figures.
Teaching Outlines
Concept #1. What is Mensuration ?
Measurements are an important part of our everyday life. Think about your day; you probably made some measurements. Perhaps you checked your weight by stepping on a scale,measuring shoes to fit your feet in the shoe store, or saw measuring up houses when they are doing renovations etc. If you did not feel well, you may have taken your temperature. To make some soup, you added 2 cups of water to a package mix. If you stopped at the Petrol bunk, you watched the petrol pump measure the number of litres of petrol you put in the car.
Activities
What and how to measure
Measurement is the act of determining a target's size, length, weight, capacity, or other aspect.
Concept #2.Informal units of measurements
The traditional ways of measurements are a type of measure which uses non-standard units such as hand spans, armlengths, footsteps or pattern blocks to measure length, area, etc.bNon-standard measurements are not always the same but vary from person to person.
Activities
Estimating distances
The teacher asks the students to gather information regarding earlier traditional measuring ways from their elders and have an initial discussion in the classroom
Concept #3. Standard units of measurements
A unit of measurement is a definite magnitude of a physical quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same physical quantity. Any other value of the physical quantity can be expressed as a simple multiple of the unit of measurement.
For example, length is a physical quantity. The metre is a unit of length that represents a definite predetermined length. When we say 10 metres (or 10 m), we actually mean 10 times the definite predetermined length called "metre".<br.
The definition, agreement, and practical use of units of measurement have played a crucial role in human endeavour from early ages up to this day. Different systems of units used to be very common. Now there is a global standard, the International System of Units (SI), the modern form of the metric system.
Activities
Hunting Treasure and Measuring - Part 1
Measuring things around us by using various instruments for understanding how parameters are measured differently.
Hunting Treasure and Measuring - Part 2
Exploring various modes of measurements and standard units for them.
Concept # 4. Scale drawing
- A Scale drawing is a drawing that shows a real object with accurate sizes except they have all been reduced or enlarged by a certain amount (called the scale).
- Since it is not always possible to draw on paper the actual size of real-life objects such as the real size of a car, an airplane, we need scale drawings to represent the size.
- Drawing to scale is a tool that Engineers use for many different tasks. One key part of every scale drawing is the scaling factor. This number represents the degree to which our scale drawing or scale model has been reduced in size when compared to the original.
Activities
This activity explores representation of actual distances on paper using proportional distances.
Scale drawing - Part 2
Activity investigates how a blue print represents actual dimensions.
Solved problems/ key questions (earlier was hints for problems).
Projects (can include math lab/ science lab/ language lab)
Assessments - question banks, formative assessment activities and summative assessment activities
Categories will be: (Subject), (Topic), (Class 8), (Class 9), (Class 9), (Concept Map), (Question banks), (Assessments), Formative, Summative