Mensuration

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Textbook

  1. Karnataka text book for Class 10, Chapter 16 - Mensuration
  1. NCERT 10 Textbook Chapter 13-Surface Areas and Volumes

Additional Information

Useful websites

  1. Download PDF. This is a good website for interesting activities on mensuration.
  2. For standard measurements : http://www.primaryresources.co.uk/maths/mathsE1.htm
  3. http://www.campusgate.co.in/2011/11/areas-and-mensuration.html
  4. For general rules while writing units ://en.wikipedia.org/wiki/International_System_of_Units#General_rules
  5. For teacher reference on dimension. http://www.britannica.com/EBchecked/topic/163641/dimension
  6. 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!

Reference Books

Teaching Outlines

Concept #1. What is Mensuration ?

Learning objectives

  1. units and measurement
  2. Mensuration is the branch of Mathematics dealing with measurement of angles, length, area, and volume.
  3. There are standard and non-standard ways of measurements.
  4. Importance of having standardised measurements.
  5. The length of the total boundary of a figure is called its perimeter. The Metric unit of perimeter is same as the unit of length - Metre.
  6. The amount of surface covered by an object is called it area. The Metric unit of area is square metre.
  7. The capacity of an object to hold is called its volume.
  8. They should develop the ability to calculate the area, perimeter, volume or side of many different figures.

Notes for teachers

Source: http://depts.washington.edu/chemcrs/bulkdisk/chem120A_sum06/handout_CH%201-4%20TIMBER.pdf
Summary : Measurement 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

  1. Activity 1 - What and how to measure
  2. Activity 2 - Scale Drawing

Concept #2.Informal units of measurements

Learning objectives

  1. 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.
  2. Non-standard measurements are not always the same but vary from person to person.

Notes for teachers

  1. The teacher can ask the students to gather information regarding earlier traditional measuring ways from their elders and have an initial discussion in the classroom.

Activities

Activity 1 Estimating Distances

Concept #3. Standard units of measurements

Learning objectives

  1. The ability to obtain accurate measurements and communicate those measurements is a key requirement for progress.
  2. Standardised measuring units ensure uniformity in meaurements.
  3. The standard unit for length is metre, for weight id kilogram, for time is second, for temperature is Kelvin and for amount of substance it is mole.

Notes for teachers

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

  1. Activity 1 Hunting Treasure and Measuring - Part 1
  2. Activity 2 Hunting Treasure and Measuring - Part 2

Activity No #2

for the details of the activity 2 click below
Hunting treasure and measuring


Concept #

Learning objectives

Notes for teachers

These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.

Activities

  1. Activity No #1 Concept Name - Activity No.
  2. Activity No #2 Concept Name - Activity No.


Concept #

Learning objectives

Notes for teachers

These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.

Activities

  1. Activity No #1 Concept Name - Activity No.
  2. Activity No #2 Concept Name - Activity No.

Assessment activities for CCE

Hints for difficult problems

Project Ideas

Math Fun