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Measurement      Geometry 1-2    3-4    5-6     Number      Algebra

MATHEMATICS 10-3

 [C] Communication
[CN] Connections
[ME] Mental Mathematics
and Estimation

[PS] Problem Solving
[R] Reasoning
[T] Technology
[V] Visualization

Note: Consider selecting a specific calculator for this course so that any reference to keystrokes matches the calculator purchased for the course.


Measurement

General Outcome: Develop spatial sense through direct and indirect measurement.

Specific Outcomes: It is expected that students will:

  1. Demonstrate an understanding of the Système International (SI) by:

 

1.2 Identify the base units of measurement in the SI system, and determine the relationship among the related units of each type of measurement.

Length Conversions

Ron Blond (International System of Units)

***Link: LearnAlberta (Ron Blond)

Area Conversions

Volume Conversions

Mass Conversions

Capacity Conversions

Capacity Animation

Link: LearnAlberta

Link: LearnAlberta

Link: LearnAlberta

Average Temperature and Temperature Difference

Average Temperature

Temperature Difference

 

1.3 Identify contexts that involve the SI system.
1.4 Match the prefixes used for SI units of measurement with the powers of ten.

Prefix Matching Game

 


1.5 Explain, using examples, how and why decimals are used in the SI system.
1.6 Provide an approximate measurement in SI units for a measurement given in imperial units; e.g., 1 inch is approximately 2.5 cm.
1.7 Write a given linear measurement expressed in one SI unit in another SI unit.

Length Conversions

 


1.8 Convert a given measurement from SI to imperial units by using proportional reasoning (including formulas); e.g., Celsius to Fahrenheit, centimetres to inches.

***Link: LearnAlberta (Ron Blond)

  1. Demonstrate an understanding of the imperial system by:

2.3 Identify contexts that involve the imperial system.
2.4 Explain, using examples, how and why fractions are used in the imperial system.
2.5 Compare the American and British imperial measurement systems; e.g., gallons, bushels, tons.
2.6 Provide an approximate measure in imperial units for a measurement given in SI units; e.g., 1 litre is approximately 1/4 US gallon.
2.7 Write a given linear measurement expressed in one imperial unit in another imperial unit.

2.8 Convert a given measure from imperial to SI units by using proportional reasoning (including formulas); e.g., Fahrenheit to Celsius, inches to centimetres.

Temperature

    Weight (Imperial to SI)

    Weight (SI to Imperial)

Length (Imperial to SI)

Length (SI to Imperial)

    Area (Imperial to SI)

    Area (SI to Imperial)

    Volume (Imperial to SI)

    Volume (SI to Imperial)

  1. Solve and verify problems that involve SI and imperial linear measurements, including decimal and fractional measurements.
    [CN, ME, PS, V]

    (It is intended that the four arithmetic operations on decimals and fractions be integrated into
    the problems.)
    3.1 Identify a referent for a given common SI or imperial unit of linear measurement.
    3.2 Estimate a linear measurement, using a referent.
    3.3 Measure inside diameters, outside diameters, lengths, widths of various given objects, and distances, using various measuring instruments.
    3.4 Estimate the dimensions of a given regular 3-D object or 2-D shape, using a referent; e.g., the height of the desk is about three rulers long, so the desk is approximately three feet high.

    2D (Triangle, Square, Rectangle, Circle) - iFrame - click "Bigger" button to see object full screen

Link: LearnAlberta

     

    Other 2-D Shape Applets (LearnAlberta Math Glossary)

     

    3D (Rectangular Prism/Pyramid, Triangular Prism/Pyramid, Cylinder/Cone - iFrame - click "Bigger" button to see object full screen

    Link: LearnAlberta

    3D - Regular Hexagonal Prism - HTML code controls number of sides and type

***Link: LearnAlberta (Ron Blond)

    Regular Hexagonal Pyramid - HTML code controls number of sides and type

***Link: LearnAlberta (Ron Blond)

    Cylinder - HTML code controls type

***Link: LearnAlberta (Ron Blond)

 

    Cone - HTML code controls type

***Link: LearnAlberta (Ron Blond)

 

    Jim Reed Perimeter and Area Interactive Resources

 

3.5 Solve a linear measurement problem including perimeter, circumference, and length + width + height (used in shipping and air travel).

Perimeter Linear Measurement

3.6 Determine the operation that should be used to solve a linear measurement problem.
3.7 Provide an example of a situation in which a fractional linear measurement would be divided by a fraction.
3.8 Determine, using a variety of strategies, the midpoint of a linear measurement such as length, width, height, depth, diagonal and diameter of a 3-D object, and explain the strategies.
3.9 Determine if a solution to a problem that involves linear measurement is reasonable.

  1. Solve problems that involve SI and imperial area measurements of regular, composite and irregular 2-D shapes and 3-D objects, including decimal and fractional measurements, and verify the solutions.
    [ME, PS, R, V]

    (It is intended that the four arithmetic operations on decimals and fractions be integrated into the problems.)
    4.1 Identify and compare referents for area measurements in SI and imperial units.
    4.2 Estimate an area measurement, using a referent.
    4.3 Identify a situation where a given SI or imperial area unit would be used.
    4.4 Estimate the area of a given regular, composite or irregular 2-D shape, using an SI square grid and an imperial square grid.

    2. Area of a Trapezoid - average length of parallel sides - grid not present


4.5 Solve a contextual problem that involves the area of a regular, a composite or an irregular 2-D shape.
4.6 Write a given area measurement expressed in one SI unit squared in another SI unit squared.

SI Area

SI Volume

4.7 Write a given area measurement expressed in one imperial unit squared in another imperial unit squared.

Imperial Area

Imperial Volume

4.8 Solve a problem, using formulas for determining the areas of regular, composite and irregular 2-D shapes, including circles.

2D (Triangle, Square, Rectangle, Circle) - click "Bigger" button to see object full screen

Link: LearnAlberta

Area of a Rectangle

***Link: LearnAlberta (Ron Blond)

4.9 Solve a problem that involves determining the surface area of 3-D objects, including right cylinders and cones.

3D (Rectangular Prism/Pyramid, Triangular Prism/Pyramid, Cylinder/Cone - click "Bigger" button to see object full screen

Link: LearnAlberta


4.10 Explain, using examples, the effect of changing the measurement of one or more dimensions on area and perimeter of rectangles.


4.11 Determine if a solution to a problem that involves an area measurement is reasonable.

 

March, 2008 http://www.education.alberta.ca/media/655889/math10to12.pdf

2008 Program of Studies with Achievement Indicators: http://education.alberta.ca/media/823110/math10to12_ind.pdf