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!
Bill Nye - Measurement - Full Video
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?
CAN YOU CREATE AN ANCHOR CHART FOR THE CLASS?
Hands On
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
Metric Conversion Rap
https://youtu.be/IhtgKHYZti0
Activate
If a stick measures 1 meter and another stick measures 1 centimeter and you add them together do they equal 2 meters, 2 centimeters or something else?
1 m + 1 cm = 2 cm ?
1 m + 1 cm = ?
Q - What is important to understand here?
A - You need to understand what your UNIT OF MEASURE is.
Q - When you are using different units of measure
what is the first thing you must do?
A: Make sure all UNITS OF MEASURE are the same.
Hands On
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
Exit Ticket
Activation
Hands On
Hands On
Exit Ticket
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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Activation
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Hands On
How many square tiles will Mrs. Bedford need to cover the floor of our classroom?
What is the AREA of the room in centimeters squared?
Exit Ticket
Please show the math you are doing.
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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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Activate
Hands On
Exit Ticket
Exit Ticket
Quick Area of a Triangle Worksheet
Area of a Parallelogram
Hands On
What is the area of the white part of the pentagon?
Exit Ticket
Area of a Trapezoid
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
Exit Ticket
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
Exit Ticket
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