Linear Functions and Linear Equations study group

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Linear Functions and Linear Equations study group

SAT Score Range

•

28 sessions

•

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

Jeremy L 🇺🇸

Certified in 7 topics

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I'm an incoming 8th 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.

Ruby B 🇺🇸

Certified in 4 topics

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I love to teach Math and learn new things!

Schedule

Upcoming

All

✋ 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

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

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

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

SESSION 6

8

Aug

SESSION 6

Linear equations & graphs

Fri 1:15 PM - 2:00 PM UTCAug 8, 1:15 PM - 2:00 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

Mon 1:15 PM - 2:00 PM UTCAug 11, 1:15 PM - 2:00 PM UTC

Slope as a Rate of Change - Day 2; Constant Rate Functions

SESSION 8

12

Aug

SESSION 8

Forms of linear equations

Tue 1:15 PM - 2:00 PM UTCAug 12, 1:15 PM - 2:00 PM UTC

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

SESSION 9

13

Aug

SESSION 9

Functions

Wed 1:15 PM - 2:00 PM UTCAug 13, 1:15 PM - 2:00 PM UTC

Linear Functions - Day 2; Function Notation in Context - Day 1

SESSION 10

14

Aug

SESSION 10

Functions

Thu 1:15 PM - 2:00 PM UTCAug 14, 1:15 PM - 2:00 PM UTC

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

SESSION 11

15

Aug

SESSION 11

Forms of linear equations

Fri 1:15 PM - 2:00 PM UTCAug 15, 1:15 PM - 2:00 PM UTC

A Geometric Approach to the Point-Slope Formula - Day 2; Point-Slope Versus Slope-Intercept Form

SESSION 12

18

Aug

SESSION 12

Review

Mon 1:15 PM - 2:00 PM UTCAug 18, 1:15 PM - 2:00 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

19

Aug

SESSION 13

Review

Tue 1:15 PM - 2:00 PM UTCAug 19, 1:15 PM - 2:00 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; Writing Standard Form Equations from Context - Day 1

SESSION 14

20

Aug

SESSION 14

Forms of linear equations

Wed 1:15 PM - 2:00 PM UTCAug 20, 1:15 PM - 2:00 PM UTC

Writing Standard Form Equations from Context - Day 2; Converting from Standard Form to Slope-Intercept Form

SESSION 15

21

Aug

SESSION 15

Forms of linear equations

Thu 1:15 PM - 2:00 PM UTCAug 21, 1:15 PM - 2:00 PM UTC

Solutions to the Standard Form Equation; Parallel and Perpendicular Slope Relationships - Day 1

SESSION 16

22

Aug

SESSION 16

25

Aug

SESSION 17

26

Aug

SESSION 18

Catchup

Tue 1:15 PM - 2:00 PM UTCAug 26, 1:15 PM - 2:00 PM UTC

Direct Variation in Our World

SESSION 19

27

Aug

SESSION 19

Catchup

Wed 1:15 PM - 2:00 PM UTCAug 27, 1:15 PM - 2:00 PM UTC

Recgonising Direct Variation

SESSION 20

28

Aug

SESSION 20

Catchup

Thu 1:15 PM - 2:00 PM UTCAug 28, 1:15 PM - 2:00 PM UTC

Finding the Constant Rate; Additive Patterns and Arithmetic Sequences - Day 1

SESSION 21

29

Aug

SESSION 21

Catchup

Fri 10:30 PM - 11:15 PM UTCAug 29, 10:30 PM - 11:15 PM UTC

Additive Patterns and Arithmetic Sequences - Day 2; Exploring Arithmetic Sequences - Day 1

SESSION 22

4

Sep

SESSION 22

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

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)

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

Tue 5:00 PM - 5:45 PM UTCSep 9, 5:00 PM - 5:45 PM UTC

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

SESSION 26

10

Sep

SESSION 26

Catchup

Wed 2:00 PM - 2:45 PM UTCSep 10, 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 27

11

Sep

SESSION 27

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

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.

Public Discussion

Please log in to see discussion on this series.

Aug 1 - Sep 12

7 weeks

45 mins

/ session

Next session on September 4, 2025

About

Tutored by

Jeremy L 🇺🇸

Ruby B 🇺🇸

Schedule

1

Other Topics

Other Topics

4

Other Topics

Other Topics

5

Other Topics

Other Topics

6

Sequences

Sequences

7

Sequences

Sequences

8

Linear equations & graphs

Linear equations & graphs

11

Linear equations & graphs

Linear equations & graphs

12

Forms of linear equations

Forms of linear equations

13

Functions

Functions

14

Functions

Functions

15

Forms of linear equations

Forms of linear equations

18

Review

Review

19

Review

Review

20

Forms of linear equations

Forms of linear equations

21

Forms of linear equations

Forms of linear equations

22

Other Topics

Other Topics

25

Other Topics

Other Topics

26

Catchup

Catchup

27

Catchup

Catchup

28

Catchup

Catchup

29

Catchup

Catchup

4

Catchup

Catchup

5

Catchup

Catchup

8

Inequalities (systems & graphs)

Inequalities (systems & graphs)

9

Catchup

Catchup