Accelerated Math 7
MONTH 7
Systems of Linear Equations (Ch. 5); Functions (Ch. 6)
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Class Notes (scroll down for videos)
Week 1
M7W1 Notes Math 8 Ch. 5 24-25.pdfWeek 2
Week 3
Ch. 5 Video Tutorials (scroll down for Ch. 6)
Solving a System of Equations Using the Graphing Method
Solving a System of Equations Using the Graphing Method
Solving a System of Equations Using the Graphing Method
Solving Systems of Linear Equations in 2 Variables: Part 1 - Introduction
Solving Systems of Linear Equations in 2 Variables: Part 2 - The Substitution Method
Solving a System of Equations Using the SubstitutionMethod
How to Check Your Answer to Verify that it is a Solution of a System
Solving a System of Equations by Substitution
Solving a System of Equations Using the Substitution Method
Solving a System of Equations Using the Elimination Method
Solving Systems of Equations by Elimination
Solving a System of Equations by Elimination
Solving a System of Equations Using the Elimination Method: Part 1
Solving a System of Equations Using the Elimination Method: Part 2
Systems of Linear Equations with One Solution , No Solution, or Infinitey Many Solutions
Special Systems of Linear Equations: One Solution , No Solution, or Infinitey Many Solutions
Solving Special SystemSystems of Linear Equations
Ch. 6 Video Tutorials (scroll up for Ch. 5)
What are Functions?
What is a Function? What is a Function Rule?
Relations, Functions and Mapping Diagrams
Identify a Function from a Table of Values
What is the Difference Between a Function f(x) and a Relation (y)? How to use the Vertical Line test to Determine if a Graph is a Function.
Identify Functions from Graphs (Part 1)
Identify Functions from Graphs (Part 2)
Section 6.3 is about writing a Linear Function from a Graph or a Table. This is the same thing as writing a Linear Equation in Slope-Intercept Form. See the videos from Chapter 4 if you need to review how to do this.
Basic Linear Functions
Use Functions to Model Relationships
Review: Identifying Functions, Linear Functions, and Proportions from a Table, Equation, or Graph
Comparing Linear Functions (Part 1)
Comparing Linear Functions (Part 2)
Comparing Linear Functions (Part 3)
Using First Differences to Determine if a Table Represents a Linear Function
Additional Resources
Graphs of Increasing and Decreasing Functions with CONSTANT RATES of change (graph segments are straight lines)
• INCREASING: A function is increasing, if as x increases, y also increases . The graph (reading from left to right) goes up-hill, which means it has a positive slope.
• DECREASING: A function is decreasing, if as x increases, y decreases. The graph goes down-hill, which means it has a negative slope.
• CONSTANT: A function is constant, if as x increases, y stays the same. The graph is a horizontal line with a slope of zero.
Common Core State Standards (CCSS)
5.1 Solving Systems of Linear Equations by Graphing (CCSS 8.EE.8a, 8.EE.8b, 8.EE.8c)
5.2 Solving Systems of Linear Equations by Substitution (CCSS 8.EE.8b, 8.EE.8c)
5.3 Solving Systems of Linear Equations by Elimination (CCSS 8.EE.8b, 8.EE.8c)
5.4 Solving Special Systems of Linear Equations (CCSS 8.EE.7, 8.EE.8a, 8.EE.8b, 8.EE.8c)
5.4 Extension: Solving Linear Equations by Graphing (CCSS 8.EE.7, 8.EE.8)