Outcome #3
Powers
Embedded Files
Description
This outcome covers the following:
Evaluating Powers
Using Exponent Laws
Scientific Notation
Curriculum Expectations: B2.1, B2.2
Emerging
Emerging
I can write powers with positive exponents in expanded form and evaluate them.
I can express numbers in scientific notation by comparing size and sign.
Notes/Examples:
Eg. Expand and evaluate: 35
Compare expressions such as: 52, (-5)2, -52
Eg. Write in Scientific Notation: 3 100 000
Developing
Developing
I can use the multiplication and division exponent laws to simplify numeric and algebraic expressions.
Notes/Examples:
Simplify expressions such as:
313÷ 37
(q5)( q8)
(x7y6)( x3y2)
Proficient
Proficient
I can use the nested exponent law to simplify numeric and algebraic expressions.
I can write powers with negative exponents in expanded form and evaluate them.
I can use the exponent laws to simplify expressions in scientific notation by multiplying and dividing (leaving answer in SN).
Notes/Examples:
Simplify expressions such as:
Negative and Zero exponents get introduced through patterning. Students should be able to evaluate an expression with a negative exponent (writing answer as a fraction)
Exceeding
Exceeding
I can answer questions using a combination of all of the exponent laws.
I can utilize the exponent laws to simplify numeric and algebraic expressions (include those involving scientific notation).
Notes/Examples:
Sample Problem: The distance from the earth to the moon is approximately 3.84 x 105 km. The distance from the earth to the sun is approximately 1.51 x 108 km. Currently it would take about 3 days for a spacecraft to reach the moon. Assuming the spacecraft travels at the same speed, how long would it take to reach the sun?
Simplify expressions such as:
Extending
Extending
I have a thorough understanding of exponent laws and scientific notation.
Notes/Examples:
Students should be able to solve challenging exponent law questions including less familiar problems.
Eg.
Sample Assessments
(Approaching Standard)
(Approaching Standard)
(Reaching Standard)
(Reaching Standard)
(Reaching Standard -> Extending Understanding)
(Reaching Standard -> Extending Understanding)
Lesson Ideas
This activity overlaps with the Measurement Outcome
Can we find the thickness (and volume) of a single piece of paper?
If you could fold that piece of paper in half over and over again, how thick would it get?
Lots of Exponent Law Questions for groups to work on at white boards.
Multiplication and Division Exponent Laws are covered.
This activity has the potential to cover 3 days. Topics covered are Expanding Powers, Scientific Notation and Multiplying/Dividing Exponent Laws
There are two files
1) Teacher files with progression slips and instructions for all three days
2) Notebook file to use while teaching for all three days
This Powerpoint file can be used to review Exponents
It covers: Exponent Laws, Negative Exponents and Scientific Notation
This activity (from misteristhisright.com blog) a great intro to powers.
The students will discover various was to find the largest product using repeated multiplication. This lesson can lead into powers and expanded form.
Powers Traffic Light Activity
Powers Traffic Light Activity
A series of questions with different difficulty levels on scientific notation and the exponent laws. Suggested to be used in Pass 2, at the end of the outcome. Final answers are given on the last page.
This lesson can be used as a whole or in parts. It reviews powers laws and then explores negative and zero exponents through paper folding with consolidation and practice.
Portions adapted from RDSB resources
This is a good set of questions involving Scientific notation using the power laws from the Illustrative Mathematics website.
This activity is good to practice exponent laws. This was adapted from the open middle website by Robert Kaplinsky.
Here is a more complex version.
DESMOS CLASSROOM ACTIVITIES
In this activity students will practice different exponents laws and the program will check it as they go.
In the first part of this activity students sort numbers in various forms. Students then use scientific notation to express large numbers: the diameters of planetary orbits. In the last section, students continue to use scientific notation, but they use it to express very small numbers.
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