2D & 3D Measurement
Mrs Bedford
How About A Gentle Reminder...


Please Fail Everyday!
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In Measurement We Are Learning About...
Estimation
Conversion
Perimeter
Area
Surface Area
Volume
Do you know what any of these words mean?
Overall Learning Goals
- estimate, measure, and record quantities, using the metric measurement system;
- determine the relationships among units and measurable attributes, including the area of a parallelogram, the area of a triangle, and the volume of a triangular prism.
Lesson Goals - Linear Measurement
- demonstrate an understanding of the relationship between estimated and precise measurements, and determine and justify when each kind is appropriate (Sample problem:You are asked how long it takes you to travel a given distance. How is the method you use to determine the time related to the precision of the measurement?);
- estimate, measure, and record length, area, mass, capacity, and volume, using the metric measurement system.
Big Ideas In Measurement
The Big Ideas of Measurement in Grades 4 to 6
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investigate measurement problems in real-life settings;
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extend their knowledge of measurement units and their relationships;
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investigate the relationships between, and develop formulas for, area and perimeter and surface area and volume;
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extend their knowledge of time and temperature measurement.
Reference: http://www.eworkshop.on.ca/edu/resources/guides/Guide_Measurement_456.pdf
How And What Do We Measure? Tell us Mr. Nye!
Most Appropriate Length
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What are some units of measure? What are they used to measure?
Common Units Of Measure - Can you list them in order from smallest to greatest?
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Convince me!
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Conversion from Larger to Smaller Units
What are some units of measure? What are they used to measure?
Units of Measure:
What is the difference between each unit of measure?
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How Can You Remember The Names Of These Units Of Measure?
1 KM = _____________________ M
1 M = ______________________ CM
1 CM = _____________________ MM
1 L = _______________________ ML
1 KG = _________________________ G

Metric Conversion Rap
https://youtu.be/IhtgKHYZti0
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When you are using different units of measure
what is the first thing you must do?
Hands On


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How many grams are in one serving if 1.5 kg will serve six people?
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How many millitres are in one serving if 3.5 L will serve 5 people?
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Activation



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Review - Polygon
Perimeter and Area
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construct a rectangle, a square, a triangle, and a parallelogram, using a variety of tools (e.g., concrete materials, geoboard, dynamic geometry software, grid paper), given the area and/or perimeter (Sample problem: Create two different triangles with an area of 12 square units, using a geoboard.);
Activate - Perimeter
Remember in Canada we use the Metric System - MM, CM, M, KM (Not Miles or Inches)
Perimeter - Hands On
Use the shapes to make a geometric design | Choose 3 shapes from your geometric design to measure | Must choose a triangle and a parallelogram to measure - you choose the third shape to measure |
Review - Area using square centimetres
Finding Area Using Geoboards
On line Geoboard
Geoboard Practice
Area - Square, Rectangle, Triangle - Math Antics
This task consists of three parts.
- You will make a geometric design using the following shapes: triangles, parallelograms, hexagons, trapezoids, rectangles, squares. Be creative!
- Choose three of the shapes to measure - one must be a triangle and one must be a parallelogram; you may choose the third shape. Identify the shapes you have chosen by labelling them 1, 2, 3.
- Measure your three shapes and record the perimeter and area for each. Show all work.
Activation





Activation
How do you determine the area of a square or rectangle?
Hands On

Using the materials in class and how we determine the area of a square, create a a square metre using centimetres.
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Activation
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Option 1

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Area of a Triangle Rap
Area - Square, Rectangle and Triangle
Learning Goal - We are learning to...
Area of a Triangle
What is the formula to calculate the area of a square or rectangle?
How would you make the metre squared you built in class into 2 equal triangles?
What is the area of one of the triangles? How do you know?
Can you think of a formula to represent that?
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ACTIVATION
How do we determine the area of a triangle?
Can you think of a formula to represent that?
1 - Create 3 squares or rectangles. Determine the Perimeter and Area.
2 - Divide each shape into 2 equal triangles and determine the area of the triangle.
Hands On
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Quick Area of a Triangle Worksheet
Area of a Parallelogram

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What is the area of the white part of the pentagon?

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How is 2D area related to 3D?
Surface Area - Activation
What is Surface Area (SA)?
What are big tips when figuring out the Surface Area of a 3D shape?
- Make sure your work is _________________
Surface Area of Prisms
Minecraft and Surface Area

Hands On

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Activation
What is the difference between the calculation of the Surface Area of Rectangular Prism and a Triangular Prism?
What do we know about the calculating the area of a triangle?
What are big tips when figuring out the Surface Area of a 3D shape?
- Make sure your work is _________________!!
Hands On

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Volume
Activation
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What is the difference between volume and surface area?
Volume and Capacity
Volume - Amount that is in the shape
Capacity - Potential that a shape can hold
Hands On
Use paper to build the rectangular prism net. Use cubes to build this rectangular prism.
What did you discover?

Volume - Rectangular Prisms
Activation
What have we learned so far in our measurement unit?
What do we know about three dimensional shapes?
What shapes do you know how to find the area of?

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Activation


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Grab A Shape!

What Do You Know About The Shape?
Does it matter what face you call the base?
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Using what you have learned about finding the volume of a rectangular based prism, find the volume of this triangular based prism?

Explain Your Thinking.
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Option 1:

Option 2:

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What is the volume of this triangular prism?

What is the Volume of this rectangular prism?


Activation - How many Litres are in 1M3 (cubed)?


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UofW Problem of the Week

