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Schoolhouse.world: peer tutoring, for free.
Schoolhouse.world: peer tutoring, for free.
Exponent Properties and Exponential Functions study group

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19 sessions

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About

Timing: Approximately 5 weeks
You will explore exponent rules as an extension of geometric sequences and the properties of multiplication and division for real numbers. You will make sense of exponent rules and not simply memorise them without understanding how they arise. The series culminates in you investigating how exponential functions can model physical phenomena that exhibit a constant multiplicative growth. Exponential functions are framed as multiplicative analogues of linear functions. Thus, a tight connection will be drawn between these two classes of functions and their shared properties.

ENDURING UNDERSTANDIGNS
You will understand that ...
- Properties of exponents are derived from the properties of multiplication and division.
- An exponential function has constant multiplicative growth or decay.
- Exponential functions can be used to model contextual scenarios that involve constant multiplicative growth or decay.
- Graphs and tables can be used to estimate the solution to an equation that involves exponential expressions.

KEY CONCEPTS
- 1: Exponent rules and properties
- 2: Roots of real numbers
- 3: Sequences with multiplicative patterns
- 4: Exponential growth and decay

Tutored by

Jeremy L 🇺🇸

Certified in 11 topics

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I'm a 12th grader from New Jersey and I'm here to nurture my passion for teaching. In my free time I like dancing, working out, and learning Spanish.

Sessions

✋ ATTENDANCE POLICY

Please do not miss more than one session and message the tutor if you cannot make it so as to avoid possible withdrawal!

SESSION 1

10

Dec

SESSION 1

Exponents & radicals

Exponents & radicals

Wed 3:00 PM - 3:45 PM UTCDec 10, 3:00 PM - 3:45 PM UTC

Product Rule, Quotient Rule, Power Rule, Power of a Product Rule, Power of a Quotient Rule, Zero Exponent, Negative Exponent, Fractional Exponent - Day 1
SESSION 2

11

Dec

SESSION 2

Exponents & radicals

Exponents & radicals

Thu 3:00 PM - 3:45 PM UTCDec 11, 3:00 PM - 3:45 PM UTC

Product Rule, Quotient Rule, Power Rule, Power of a Product Rule, Power of a Quotient Rule, Zero Exponent, Negative Exponent, Fractional Exponent - Day 2
SESSION 3

12

Dec

SESSION 3

Exponents & radicals

Exponents & radicals

Fri 3:00 PM - 3:45 PM UTCDec 12, 3:00 PM - 3:45 PM UTC

Product Rule, Quotient Rule, Power Rule, Power of a Product Rule, Power of a Quotient Rule, Zero Exponent, Negative Exponent, Fractional Exponent - Day 3; Practice Performance Task: This practice performance task assesses learning objectives and essential knowledge addressed up to this point in the series - Day 1
SESSION 4

15

Dec

SESSION 4

Exponents & radicals

Exponents & radicals

Mon 4:30 PM - 5:15 PM UTCDec 15, 4:30 PM - 5:15 PM UTC

Practice Performance Task: This practice performance task assesses learning objectives and essential knowledge addressed up to this point in the series - Day 2; Radical Expressions and Operations - Day 1
SESSION 5

16

Dec

SESSION 5

Exponents & radicals

Exponents & radicals

Tue 6:00 PM - 6:45 PM UTCDec 16, 6:00 PM - 6:45 PM UTC

Radical Expressions and Operations - Day 2
SESSION 6

17

Dec

SESSION 6

Exponents & radicals

Exponents & radicals

Wed 3:00 PM - 3:45 PM UTCDec 17, 3:00 PM - 3:45 PM UTC

Radical Expressions and Operations - Day 2; Learning Checkpoint 1: This learning checkpoint assesses all of the learning objectives associated with the key concepts Exponent Rules and Properties and Roots of Real Numbers - Day 1
SESSION 7

18

Dec

SESSION 7

Other Topics

Other Topics

Thu 3:00 PM - 3:45 PM UTCDec 18, 3:00 PM - 3:45 PM UTC

Learning Checkpoint 1: This learning checkpoint assesses all of the learning objectives associated with the key concepts Exponent Rules and Properties and Roots of Real Numbers - Day 2; Counting Binary Strings - Day 1
SESSION 8

19

Dec

SESSION 8

Other Topics

Other Topics

Fri 3:00 PM - 3:45 PM UTCDec 19, 3:00 PM - 3:45 PM UTC

Counting Binary Strings - Day 2; Multiplicative Patterns - Day 1
SESSION 9

22

Dec

SESSION 9

Other Topics

Other Topics

Mon 4:30 PM - 5:15 PM UTCDec 22, 4:30 PM - 5:15 PM UTC

Multiplicative Patterns - Day 2
SESSION 10

23

Dec

SESSION 10

Other Topics

Other Topics

Tue 6:00 PM - 6:45 PM UTCDec 23, 6:00 PM - 6:45 PM UTC

Multiplicative Patterns - Day 3; Finding Terms in a Geometric Sequence - Day 1
SESSION 11

5

Jan

SESSION 11

Sequences

Sequences

Mon 4:30 PM - 5:15 PM UTCJan 5, 4:30 PM - 5:15 PM UTC

Finding Terms in a Geometric Sequence - Day 2
SESSION 12

6

Jan

SESSION 12

Sequences

Sequences

Tue 6:00 PM - 6:45 PM UTCJan 6, 6:00 PM - 6:45 PM UTC

Finding Terms in a Geometric Sequence - Day 3
SESSION 13

7

Jan

SESSION 13

Sequences

Sequences

Wed 3:00 PM - 3:45 PM UTCJan 7, 3:00 PM - 3:45 PM UTC

Finding Terms in a Geometric Sequence - Day 4; Graphing Exponential Functions - Day 1
SESSION 14

8

Jan

SESSION 14

Other Topics

Other Topics

Thu 3:00 PM - 3:45 PM UTCJan 8, 3:00 PM - 3:45 PM UTC

Graphing Exponential Functions - Day 2
SESSION 15

9

Jan

SESSION 15

Other Topics

Other Topics

Fri 3:00 PM - 3:45 PM UTCJan 9, 3:00 PM - 3:45 PM UTC

Graphing Exponential Functions - Day 3
SESSION 16

12

Jan

SESSION 16

Other Topics

Other Topics

Mon 4:30 PM - 5:15 PM UTCJan 12, 4:30 PM - 5:15 PM UTC

Graphing Exponential Functions - Day 4; Modelling with Exponential Functions - Day 1
SESSION 17

13

Jan

SESSION 17

Other Topics

Other Topics

Tue 6:00 PM - 6:45 PM UTCJan 13, 6:00 PM - 6:45 PM UTC

Modelling with Exponential Functions - Day 2; Learning Checkpoint 2: This learning checkpoint assesses all of the learning objectives associated with the key concept Exponential Growth and Decay - Day 1
SESSION 18

14

Jan

SESSION 18

Other Topics

Other Topics

Wed 3:00 PM - 3:45 PM UTCJan 14, 3:00 PM - 3:45 PM UTC

Learning Checkpoint 2: This learning checkpoint assesses all of the learning objectives associated with the key concept Exponential Growth and Decay - Day 2; Performance Task: This performance task assesses learning objectives and essential knowledge addressed in the series - Day 1
SESSION 19

15

Jan

SESSION 19

Other Topics

Other Topics

Thu 3:00 PM - 3:45 PM UTCJan 15, 3:00 PM - 3:45 PM UTC

Performance Task: This performance task assesses learning objectives and essential knowledge addressed in the series - Day 2

Public Discussion

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Dec 10 - Jan 15

6 weeks

45 mins

/ session

Next session on December 10, 2025

SCHEDULE

Wednesdays

3:00PM

Thursdays

3:00PM

Fridays

3:00PM

Mondays

4:30PM

Tuesdays

6:00PM