2D & 3D Measurement

Mrs Bedford

How About A Gentle Reminder...

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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


  • investigate measurement problems in real-life settings;

  • extend their knowledge of measurement units and their relationships;

  • investigate the relationships between, and develop formulas for, area and perimeter and surface area and volume;

  • 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!

Bill Nye's introduction to the metric system
Metric Conversion Rap - by The Metric Crew

Most Appropriate Length

Activate

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?

What is the difference between each unit of measure?

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Hands On

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Convince me!

Exit Ticket

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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

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Metric Conversion Rap - by The Metric Crew

Metric Conversion Rap

https://youtu.be/IhtgKHYZti0

Activate

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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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Activate

How many grams are in one serving if 1.5 kg will serve six people?

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Activate

How many millitres are in one serving if 3.5 L will serve 5 people?

Hands On

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Exit Ticket

How many grams are in one serving if 3 kg will serve 12 people?

Activation

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Hands On

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Exit Ticket

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Review - Polygon

Math Antics - Polygons

Perimeter and Area

  • 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)

Math Antics - Perimeter

Perimeter - Hands On

Review - Area using square centimetres

Finding Area Using Geoboards

Finding Area Using Geoboard

On line Geoboard

Geoboard Practice

Area - Square, Rectangle, Triangle - Math Antics

This task consists of three parts.

  1. You will make a geometric design using the following shapes: triangles, parallelograms, hexagons, trapezoids, rectangles, squares. Be creative!

  2. 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.

  3. Measure your three shapes and record the perimeter and area for each. Show all work.
Math Antics - Area
Measuring Area - Square Centimetres

Activation

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Activation

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

Hands On

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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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Hands On

Option 1

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Exit Ticket

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Exit Ticket

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Area of a Triangle Rap

AREA OF TRIANGLES SONG by Heath

Area - Square, Rectangle and Triangle

Math Antics - Area

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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Activate

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Hands On

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Exit Ticket

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Exit Ticket

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Quick Area of a Triangle Worksheet

Area of a Parallelogram

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Hands On

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

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Exit Ticket

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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 a _____________

- Make sure your work is _________________

Surface Area of Prisms

Surface Area of Prisms

Minecraft and Surface Area

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Hands On

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Exit Ticket

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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 a _____________!!


- Make sure your work is _________________!!

Hands On

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Exit Ticket

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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?

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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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Exit Ticket

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Activation

Volume - Rectangular Prisms
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Exit Ticket

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Grab A Shape!

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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?

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Explain Your Thinking.

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Option 1:

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Option 2:

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Exit Ticket

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What is the volume of this triangular prism?

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Volume and Capacity Introduction | Turtlediary

What is the Volume of this rectangular prism?

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

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Hands On

Exit Ticket

UofW Problem of the Week

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