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Modules - Measurement

Level 1       Level 2       Level 3       Level 4       Level 5       Level 6

Level 1 is Years 5-7, Level 6 Years 11-12.

The Measurement strand is treated fairly conventionally except that students are encouraged to be able to find perimeters, areas, volumes etc. through common sense methods before being introduced to the formulae. This hopefully will avoid the tendency of students to rely on memorising formulae rather than understanding the mathematical concepts.

Modules:   M1:   Measurement - Level 1

Click the link in the second column for the required format. Word documents need to be downloaded and opened in Word to display properly. The second last column is the estimated time required to work through the module; the last column is the pre-requisite Level 1 modules.

M1-1 pdf     docx

Dimensions, Size and Mass

  • dimensions and measures of size in 1D, 2D and 3D

  • measuring and estimating length, area, volume and mass

5 h
M1-2 pdf     docx

Time 1

  • reading and recording times to the nearest minute on digital and analogue clocks

  • the order of the months and how many days in each

  • calendars

  • simple timetables

2 h
M1-3 pdf     docx

Unit Conversion

  • converting between units for mass and length, between L, mL and cm3 and between units for time

2 h M1-1 M1-2
M1-4 pdf     docx

Length, Area and Volume 1

  • calculating perimeters of polygons

  • calculating areas of rectangles and volumes of rectangular prisms

2 h M1-1 M1-3
M1-4 pdf     docx

Length, Area and Volume 1

Alternative 'Learn' Section: Learning by Thinking

3 h M1-1 M1-3

Modules:   M2:   Measurement - Level 2

Click the link in the second column for the required format. Word documents need to be downloaded and opened in Word to display properly. The second last column is the estimated time required to work through the module; the last column is the pre-requisite Level 2 modules.

M2-1 pdf     docx

Graduated Scales

  • reading graduated scales

2 h
M2-2 pdf     docx

Time 2

  • determining start time, finish time and duration of events given the other two

  • measuring and estimating duration of events

  • converting between 12h and 24h time

  • at a given local time, finding the time in other parts of the country in winter and in summer

  • estimating times in other parts of the world

  • more difficult timetables

5 h
M2-3 pdf     docx

Length, Area and Volume 2

  • perimeters of circles and sectors of circles

  • approximating areas of non-rectangular shapes using an enveloping rectangle

  • areas of triangles, circles, parallelograms, trapeziums and sectors of circles

  • surface areas (flat faces only)

  • volumes of prisms and cylinders

6 h N2-2 G2-4
M2-3 pdf     docx

Length, Area and Volume 2

Alternative 'Learn' Section: Learning by Thinking

8 h N2-2 G2-4

Modules:   M3:   Measurement - Level 3

Click the link in the second column for the required format. Word documents need to be downloaded and opened in Word to display properly. The second last column is the estimated time required to work through the module; the last column is the pre-requisite Level 3 modules.

M3-1 pdf     docx

Pythagoras

  • using Pythagoras theorem to find any side of a right-angle triangle in 2- and 3-dimensional situations

3 h
M3-2 pdf     docx

Trigonometry

  • using tangent, sine and cosine ratios to find side lengths and angles in right-angle triangles

  • solving problems using trigonometry including those involving direction and angles of elevation/depression

6 h M3-1
M3-3 pdf     docx

Slope

  • slope as an angle

  • gradient

2 h M3-2
M3-4 pdf     docx

Length, Area and Volume 3

  • perimeters, areas and volumes of compound shapes

  • distinguishing length, area and volume formulae by inspection

  • the effect on length, area and volume of multiplying the dimensions of a shape

8 h M3-1
M3-4 pdf     docx

Length, Area and Volume 3

Alternative 'Learn' Section: Learning by Thinking

8 h M3-1

Modules:   M4:   Measurement - Level 4

Click the link in the second column for the required format. Word documents need to be downloaded and opened in Word to display properly. The second last column is the estimated time required to work through the module; the last column is the pre-requisite Level 4 modules.

M4-1 pdf     docx

Length, Area and Volume 4

  • converting between different units for area and volume

  • volumes of pyramids, cones and spheres

  • surface areas of cylinders, cones and spheres

  • approximating volumes of irregular 3D shapes

4 h
M4-1 pdf     docx

Length, Area and Volume 4

Alternative 'Learn' Section: Learning by Thinking

5 h
M4-2 pdf     docx

Errors

  • no measurement is exact

  • accuracy and precision

  • random and systematic errors

  • absolute and relative errors

  • combining errors

  • rounding during working

3 h

Modules:   M5:   Measurement - Level 5

Click the link in the second column for the required format. Word documents need to be downloaded and opened in Word to display properly. The second last column is the estimated time required to work through the module; the last column is the pre-requisite Level 5 modules.

M5-1 pdf     docx

Unit Circle and Trig Identities

  • sines, cosines and tangents in terms of the unit circle

  • identities: tan theta = sin theta/cos theta, Pythagorean identity, sin theta = cos (90 - theta)

4 h
M5-2 pdf     docx

Solving Triangles

  • cosine and sine rules

  • area formulae

5 h M5-1

Modules:   M6:   Measurement - Level 6

Click the link in the second column for the required format. Word documents need to be downloaded and opened in Word to display properly. The second last column is the estimated time required to work through the module; the last column is the pre-requisite Level 6 modules.

M6-1 pdf     docx

Radians

  • radians, conversion between radians and degrees and the radian values of common angles

5 h
M6-2 pdf     docx

Exact Trig Values

  • exact values of the trig functions of multiples of 30 and 45 degrees

3 h M6-1

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