## Reflection: High Quality Task Solve systems of linear functions by graphing - TWO lines on the same graph?!? - Section 2: Play of the Day

I like using the SILVER question (see the resource section of this reflection for the question and a sample of student work) to push the use of structure (MP7) right away in the beginning of this unit.  I ask students to create (not choose) a line that will have one solution, no solutions, and infinite solutions with a given line, which reinforces the idea that in any system, there are three possibilities for intersection, and that the only thing that matters when trying to determine which is the case is the rate of change of each line.  I think this implants and embeds an important conceptual understanding right at the outset of this unit, which lives on throughout the unit, before we get into the deep algebra of substitution and elimination.

High Quality Task: Making note of structure with systems of linear equations

# Solve systems of linear functions by graphing - TWO lines on the same graph?!?

Unit 5: SYSTEMS OF LINEAR EQUATIONS
Lesson 1 of 19

## Big Idea: What does it mean when two lines intersect?

Print Lesson
9 teachers like this lesson
Standards:
Subject(s):
75 minutes

### Jeff Li MTP

##### Similar Lessons

###### Solving Linear Systems of Equations with Substitution (Day 3 of 3)
Algebra I » Systems of Linear Equations
Big Idea: Students will create a system of equations from a real world scenario and interpret the solution. Students will use linear substitution to solve systems of equations.
Favorites(53)
Resources(17)
Washington, DC
Environment: Urban

###### Solving Problems in Two or More Unknowns
Algebra I » Systems of Equations
Big Idea: The reason systems of equations exist as an algebra topic is that they're a tool to be used when a problem has more than one unknown variable.
Favorites(10)
Resources(21)
Worcester, MA
Environment: Urban

###### Classifying Solutions to Linear Equations Formative Assessment Lesson Day 1 of 3
8th Grade Math » Solving Simultaneous Linear Equations
Big Idea: Use this great, hands-on, formative assessment lesson to deepen students' understanding of solving systems of linear equations.
Favorites(1)
Resources(12)
Bowling Green, KY
Environment: Suburban