Quadratic Functions study group
SAT Score Range
•
25 sessions
•
AP
EF
About
Timing: Approximately 9 weeks
In this series, you will develop a strong foundation in the concept of quadratic functions. You will understand that quadratic functions have a linear rate of change and are often formed by multiplying two linear expressions, and therefore not linear. Quadratic functions are useful for modelling phenomena that have a linear rate of change and symmetry around a unique minimum or maximum. This foundational understanding of quadratics helps you build your conceptual knowledge of nonlinear functions and prepares you for further study of polynomial and rational functions in Algebra 2.
ENDURING UNDERSTANDINGS
You will understand that ...
- Quadratic functions have a linear rate of change.
- Quadratic functions can be expressed as a product of linear factors.
- Quadratic functions can be used to model scenarios that involve a linear rate of change and symmetry around a unique minimum or maximum.
- Every quadratic equation,
, where
is not zero, has at most two real solutions. These solutions can be determined using the quadratic formula.
KEY CONCEPTS
- 1: Functions with a linear rate of change
- 2: The algebra and geometry of quadratic functions
- 3: Solving quadratic equations
- 4: Modelling with quadratic functions
Tutored by
✋ ATTENDANCE POLICY
Please do not miss more than two sessions and message the tutor if you cannot make it!
SESSION 15
22
Oct
SESSION 15
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Wed 2:00 PM - 2:45 PM UTCOct 22, 2:00 PM - 2:45 PM UTC
Quadratic Formula - Day 2
SESSION 16
23
Oct
SESSION 16
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Thu 2:00 PM - 2:45 PM UTCOct 23, 2:00 PM - 2:45 PM UTC
Quadratic Formula - Day 3; The Symmetry of the Parabola - Day 1
SESSION 17
24
Oct
SESSION 17
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Fri 2:00 PM - 2:45 PM UTCOct 24, 2:00 PM - 2:45 PM UTC
The Symmetry of the Parabola - Day 2; Interpreting the Discriminant - Day 1
SESSION 18
27
Oct
SESSION 18
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Mon 3:30 PM - 4:15 PM UTCOct 27, 3:30 PM - 4:15 PM UTC
Interpreting the Discriminant - Day 2; Pursuit Problems - Day 1
SESSION 19
28
Oct
SESSION 19
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Tue 5:00 PM - 5:45 PM UTCOct 28, 5:00 PM - 5:45 PM UTC
Pursuit Problems - Day 2; Gravity and Free-Fall Investigations - Day 1
SESSION 20
29
Oct
SESSION 20
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Wed 2:00 PM - 2:45 PM UTCOct 29, 2:00 PM - 2:45 PM UTC
Gravity and Free-Fall Investigations - Day 2; The Golden Ratio - Day 1
SESSION 21
30
Oct
SESSION 21
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Thu 2:00 PM - 2:45 PM UTCOct 30, 2:00 PM - 2:45 PM UTC
The Golden Ratio - Day 2
SESSION 22
31
Oct
SESSION 22
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Fri 2:00 PM - 2:45 PM UTCOct 31, 2:00 PM - 2:45 PM UTC
The Golden Ratio - Day 2; Finding a Formula for Triangular Numbers - Day 1
SESSION 23
10
Nov
SESSION 23
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Mon 4:30 PM - 5:15 PM UTCNov 10, 4:30 PM - 5:15 PM UTC
Finding a Formula for Triangular Numbers - 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 24
11
Nov
SESSION 24
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Tue 6:00 PM - 6:45 PM UTCNov 11, 6:00 PM - 6:45 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; Learning Checkpoint 2: This learning checkpoint assesses all of the learning objectives associated with the key concepts Solving Quadratic Equations and Modelling with Quadratic Functions - Day 1
SESSION 25
12
Nov
SESSION 25
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Wed 3:00 PM - 3:45 PM UTCNov 12, 3:00 PM - 3:45 PM UTC
Learning Checkpoint 2: This learning checkpoint assess all of the learning checkpoints associated with the key concepts Solving Quadratic Equations and Modelling with Quadratic Functions - Day 2; Performance Task: This performance task assesses learning objectives and essential knowledge addressed in the series - Day 1