Linear Functions and Linear Equations study group
SAT Score Range
•
19 sessions
•
MK
sk
HP
+4
About
Timing: Approximately 9 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 4
6
Aug
SESSION 4
Sequences
Sequences
Wed 2:00 PM - 2:45 PM UTCAug 6, 2:00 PM - 2:45 PM UTC
Additive Patterns and Arithmetic Sequences
SESSION 5
7
Aug
SESSION 5
Sequences
Sequences
Thu 2:00 PM - 2:45 PM UTCAug 7, 2:00 PM - 2:45 PM UTC
Exploring Arithmetic Sequences; Exploring the Slope of a Line - Day 1
SESSION 6
8
Aug
SESSION 6
Linear equations & graphs
Linear equations & graphs
Fri 2:00 PM - 2:45 PM UTCAug 8, 2:00 PM - 2:45 PM UTC
Defining the Slope of a Line - Day 2; Slope as a Rate of Change - Day 1
SESSION 7
11
Aug
SESSION 7
Linear equations & graphs
Linear equations & graphs
Mon 2:00 PM - 2:45 PM UTCAug 11, 2:00 PM - 2:45 PM UTC
Slope as a Rate of Change - Day 2; Constant Rate Functions
SESSION 8
12
Aug
SESSION 8
Forms of linear equations
Forms of linear equations
Tue 2:00 PM - 2:45 PM UTCAug 12, 2:00 PM - 2:45 PM UTC
The
Form of a Line; Linear Functions - Day 1SESSION 9
13
Aug
SESSION 9
Functions
Functions
Wed 2:00 PM - 2:45 PM UTCAug 13, 2:00 PM - 2:45 PM UTC
Linear Functions - Day 2; Function Notation in Context - Day 1
SESSION 10
14
Aug
SESSION 10
Functions
Functions
Thu 2:00 PM - 2:45 PM UTCAug 14, 2:00 PM - 2:45 PM UTC
Function Notation in Context - Day 2; A Geometric Approach to the Point-Slope Formula - Day 1
SESSION 11
21
Aug
SESSION 11
Forms of linear equations
Forms of linear equations
Thu 2:00 PM - 2:45 PM UTCAug 21, 2:00 PM - 2:45 PM UTC
A Geometric Approach to the Point-Slope Formula - Day 2; Point-Slope Versus Slope-Intercept Form
SESSION 12
22
Aug
SESSION 12
Review
Review
Fri 2:00 PM - 2:45 PM UTCAug 22, 2:00 PM - 2:45 PM UTC
Practice Performance Task: This practice performance task assesses learning objectives and essential knowledge addressed up to this point in the series.
SESSION 13
25
Aug
SESSION 13
Review
Review
Mon 2:00 PM - 2:45 PM UTCAug 25, 2:00 PM - 2:45 PM UTC
Learning Checkpoint 1: This learning checkpoint assesses all of the learning objectives associated with the key concepts Constant Rate of Change and Slope and Linear Functions with SAT-style questions; Writing Standard Form Equations from Context - Day 1
SESSION 14
26
Aug
SESSION 14
Forms of linear equations
Forms of linear equations
Tue 2:00 PM - 2:45 PM UTCAug 26, 2:00 PM - 2:45 PM UTC
Writing Standard Form Equations from Context - Day 2; Converting from Standard Form to Slope-Intercept Form
SESSION 15
27
Aug
SESSION 15
Forms of linear equations
Forms of linear equations
Wed 2:00 PM - 2:45 PM UTCAug 27, 2:00 PM - 2:45 PM UTC
Solutions to the Standard Form Equation; Parallel and Perpendicular Slope Relationships - Day 1
SESSION 16
28
Aug
SESSION 16
Other Topics
Other Topics
Thu 2:00 PM - 2:45 PM UTCAug 28, 2:00 PM - 2:45 PM UTC
Parallel and Perpendicular Slope Relationships - Day 2; Piecewise-Defines Functions; Scatterplots and Trend Lines - Day 1
SESSION 17
29
Aug
SESSION 17
Other Topics
Other Topics
Fri 2:00 PM - 2:45 PM UTCAug 29, 2:00 PM - 2:45 PM UTC
Scatterplots and Trend Lines - Day 2
SESSION 18
4
Sep
SESSION 18
Review
Review
Thu 2:00 PM - 2:45 PM UTCSep 4, 2:00 PM - 2:45 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 with SAT-style questions; Wrote and Graph Two-Variable Inequalities to Solve a Problem - Day 1
SESSION 19
5
Sep
SESSION 19
Forms of linear equations
Forms of linear equations
Fri 2:00 PM - 2:45 PM UTCSep 5, 2:00 PM - 2:45 PM UTC
Write and Graph Two-Variable Inequalities to Solve a Problem - Day 2; Performance Task: This performance task assessed learning objectives and essential knowledge addressed in this series.