Linear Functions and Linear Equations study group

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Linear Functions and Linear Equations study group

SAT Score Range

•

25 sessions

•

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

Jeremy L 🇺🇸

Certified in 7 topics

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I'm a university student 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.

Schedule

Upcoming

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✋ ATTENDANCE POLICY

Please do not miss more than four sessions and message the tutor if you cannot make it!

SESSION 1

1

Aug

SESSION 1

4

Aug

SESSION 2

5

Aug

SESSION 3

6

Aug

SESSION 4

7

Aug

SESSION 5

Linear equations & graphs

Thu 2:00 PM - 2:45 PM UTCAug 7, 2:00 PM - 2:45 PM UTC

Finding the Constant Rate

SESSION 6

8

Aug

SESSION 6

Sequences

Fri 2:00 PM - 2:45 PM UTCAug 8, 2:00 PM - 2:45 PM UTC

Additive Patterns and Arithmetic Sequences - Day 1

SESSION 7

11

Aug

SESSION 7

Sequences

Mon 2:00 PM - 2:45 PM UTCAug 11, 2:00 PM - 2:45 PM UTC

Additive Patterns and Arithmetic Sequences - Day 2

SESSION 8

12

Aug

SESSION 8

Sequences

Tue 2:00 PM - 2:45 PM UTCAug 12, 2:00 PM - 2:45 PM UTC

Exploring Arithmetic Sequences - Day 1

SESSION 9

13

Aug

SESSION 9

Sequences

Wed 2:00 PM - 2:45 PM UTCAug 13, 2:00 PM - 2:45 PM UTC

Exploring Arithmetic Sequences - Day 2; Defining the Slope of a Line - Day 1

SESSION 10

14

Aug

SESSION 10

Linear equations & graphs

Thu 2:00 PM - 2:45 PM UTCAug 14, 2:00 PM - 2:45 PM UTC

Defining the Slope of a Line - Day 2

SESSION 11

21

Aug

SESSION 11

Linear equations & graphs

Thu 2:00 PM - 2:45 PM UTCAug 21, 2:00 PM - 2:45 PM UTC

Defining the Slope of a Line - Day 3; Slope as a Rate of Change - Day 1

SESSION 12

22

Aug

SESSION 12

Linear equations & graphs

Fri 2:00 PM - 2:45 PM UTCAug 22, 2:00 PM - 2:45 PM UTC

Slope as a Rate of Change - Day 2

SESSION 13

25

Aug

SESSION 13

Linear equations & graphs

Mon 2:00 PM - 2:45 PM UTCAug 25, 2:00 PM - 2:45 PM UTC

Constant Rate Functions

SESSION 14

26

Aug

SESSION 14

Forms of linear equations

Tue 2:00 PM - 2:45 PM UTCAug 26, 2:00 PM - 2:45 PM UTC

The y=mx+by=mx+by=mx+b﻿
 Form of a Line - Day 1

SESSION 15

27

Aug

SESSION 15

Functions

Wed 2:00 PM - 2:45 PM UTCAug 27, 2:00 PM - 2:45 PM UTC

The y=mx+by=mx+by=mx+b﻿
 Form of a Line - Day 2; Linear Functions - Day 1

SESSION 16

28

Aug

SESSION 16

Functions

Thu 2:00 PM - 2:45 PM UTCAug 28, 2:00 PM - 2:45 PM UTC

Linear Functions - Day 2

SESSION 17

29

Aug

SESSION 17

Functions

Fri 2:00 PM - 2:45 PM UTCAug 29, 2:00 PM - 2:45 PM UTC

Linear Functions - Day 3; Function Notation in Context - Day 1

SESSION 18

4

Sep

SESSION 18

Forms of linear equations

Thu 2:00 PM - 2:45 PM UTCSep 4, 2:00 PM - 2:45 PM UTC

Function Notation in Context - Day 2; A Geometric Approach to the Point-Slope Formula - Day 1

SESSION 19

5

Sep

SESSION 19

Forms of linear equations

Fri 2:00 PM - 2:45 PM UTCSep 5, 2:00 PM - 2:45 PM UTC

A Geometric Approach to the Point-Slope Formula - Day 2

SESSION 20

8

Sep

SESSION 20

Forms of linear equations

Mon 2:00 PM - 2:45 PM UTCSep 8, 2:00 PM - 2:45 PM UTC

A Geometric Approach to the Point-Slope Formula - Day 3; Point-Slope Versus Slope-Intercept Form - Day 1

SESSION 21

9

Sep

SESSION 21

Forms of linear equations

Tue 2:00 PM - 3:30 PM UTCSep 9, 2:00 PM - 3:30 PM UTC

Point-Slope Versus Slope-Intercept Form - Day 2

SESSION 22

10

Sep

SESSION 22

Other

Wed 2:00 PM - 3:10 PM UTCSep 10, 2:00 PM - 3:10 PM UTC

Practice Performance Task, Day 1: This practice performance task assesses learning objectives and essential knowledge addressed up to this point in the series.

SESSION 23

12

Sep

SESSION 23

Other

Fri 2:00 PM - 3:10 PM UTCSep 12, 2:00 PM - 3:10 PM UTC

Practice Performance Task, Day 2: This practice performance task assesses learning objectives and essential knowledge addressed up to this point in the series.

SESSION 24

15

Sep

SESSION 24

Other

Mon 2:00 PM - 3:30 PM UTCSep 15, 2:00 PM - 3:30 PM UTC

Learning Checkpoint 1: This learning checkpoint assesses all of the learning objectives associated with the key points Constant Rate of Change and Slope and Linear Functions.

SESSION 25

16

Sep

SESSION 25

Forms of linear equations

Tue 2:00 PM - 2:45 PM UTCSep 16, 2:00 PM - 2:45 PM UTC

Writing Standard Form Equations from Context - Day 1

Public Discussion

Please log in to see discussion on this series.

Aug 1 - Sep 16

7 weeks

45 - 90 mins

/ session

Next session on August 1, 2025

SCHEDULE

Fridays

2:00PM

Mondays

2:00PM

Tuesdays

2:00PM

Wednesdays

2:00PM

Thursdays

2:00PM

About

Tutored by

Jeremy L 🇺🇸

Schedule

1

Other Topics

Other Topics

4

Other Topics

Other Topics

5

Other Topics

Other Topics

6

Other Topics

Other Topics

7

Linear equations & graphs

Linear equations & graphs

8

Sequences

Sequences

11

Sequences

Sequences

12

Sequences

Sequences

13

Sequences

Sequences

14

Linear equations & graphs

Linear equations & graphs

21

Linear equations & graphs

Linear equations & graphs

22

Linear equations & graphs

Linear equations & graphs

25

Linear equations & graphs

Linear equations & graphs

26

Forms of linear equations

Forms of linear equations

27

Functions

Functions

28

Functions

Functions

29

Functions

Functions

4

Forms of linear equations

Forms of linear equations

5

Forms of linear equations

Forms of linear equations

8

Forms of linear equations

Forms of linear equations

9

Forms of linear equations

Forms of linear equations

10

Other

Other

12

Other

Other

15

Other

Other

16

Forms of linear equations

Forms of linear equations

Public Discussion