Linear Functions and Linear Equations study group
SAT Score Range
•
28 sessions
•
DS
AP
LD
About
Timing: Approximately 6 weeks
Linear relationships are among the most prevalent and useful relationships to mathematics and the real world. Any inequality in two variables that exhibits a constant rate of change for these variables is linear. Real-world contexts that have a constant rate of change and data sets with a nearly constant rate of change can be effectively modelled by a linear function. You will explore all aspects of linear relationships in this series: contextual problems that involve constant rate of change, lines in the coordinate plane, arithmetic sequences, and algebraic means of expressing a linear relationship between two quantities. Through this series, you will develop deep skills with linear functions and equations and an appreciation for the simplicity and power of linear functions as building blocks of all higher mathematics.
ENDURING UNDERSTANDINGS
You will understand that ...
- A linear relationship has a constant rate of change, which can be visualised as the slope of the associated graph.
- There are many ways to algebraically represent a linear function and each form reveals different aspects of the function.
- Linear functions can be used to model contextual scenarios that involve a constant rate of change or data whose general trend is linear.
- A solution to a two-variable linear equation or inequality is an ordered pair that makes the equation or inequality true.
KEY CONCEPTS
- 1: Constant rate of change and slope
- 2: Linear functions
- 3: Linear equations
- 4: Linear models of nonlinear scenarios
- 5: Two-variable linear inequalities
Tutored by
✋ ATTENDANCE POLICY
Please do not miss more than four sessions and message the tutor if you cannot make it!
SESSION 22
4
Sep
SESSION 22
Catchup
Catchup
Thu 5:00 PM - 5:45 PM UTCSep 4, 5:00 PM - 5:45 PM UTC
Exploring Arithmetic Sequences - Day 2; Defining the Slope of a Line - Day 1
SESSION 23
5
Sep
SESSION 23
Catchup
Catchup
Fri 2:00 PM - 2:45 PM UTCSep 5, 2:00 PM - 2:45 PM UTC
Defining the Slope of a Line - Day 2; Slope as a Rate of Change
SESSION 24
8
Sep
SESSION 24
Inequalities (systems & graphs)
Inequalities (systems & graphs)
Mon 3:30 PM - 4:15 PM UTCSep 8, 3:30 PM - 4:15 PM UTC
Learning Checkpoint 2: This learning checkpoint assesses all of the learning objectives associated with the key concepts Linear Equations and Linear Models of Nonlinear Scenarios - Day 2; Writing and Graphing Two-Variable Inequalities to Solve Problems
SESSION 25
9
Sep
SESSION 25
Catchup
Catchup
Tue 5:00 PM - 5:45 PM UTCSep 9, 5:00 PM - 5:45 PM UTC
Constant Rate of Functions; The
Form of a Line - Day 1SESSION 26
10
Sep
SESSION 26
Catchup
Catchup
Wed 2:00 PM - 2:45 PM UTCSep 10, 2:00 PM - 2:45 PM UTC
The
Form of a Line - Day 2; Linear Functions - Day 1SESSION 27
11
Sep
SESSION 27
Catchup
Catchup
Thu 2:00 PM - 2:45 PM UTCSep 11, 2:00 PM - 2:45 PM UTC
Linear Functions - Day 2; Linear Functions in Context; Practice Performance Task: This practice performance task assesses learning objectives and essential knowledge addressed up to this point in the series.
SESSION 28
12
Sep
SESSION 28
Review
Review
Fri 2:00 PM - 2:45 PM UTCSep 12, 2:00 PM - 2:45 PM UTC
Performance Task: This performance task assesses learning objectives and essential knowledge addressed in this series.