HSA-REI.C.6

Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables.

 
80 Lesson(s)
   

Stacking Cups: Systems of Equations Real World Application

Algebra I » Unit: Systems of Linear Equations
Algebra I » Unit: Systems of Linear Equations
Noelani Davis
Washington, DC
Environment: Urban
 
Big Idea:

Students use data to create equations describing a concrete scenario. Students analyze the equations as a system to solve a problem.

 
Favorites (87)
 
Resources (30)
 
Reflections (5)
stacking cups
   

Solving Linear Equations in Two Variables

Algebra I » Unit: Making Informed Decisions with Systems of Equations
Algebra I » Unit: Making Informed Decisions with Systems of Equations
Jason Colombino
Salem, MA
Environment: Urban
 
Big Idea:

This MAP Classroom Challenge provides students with an engaging and thought-provoking activity about notebooks, pens and cash registers to learn about solving equations in two variables!

 
Favorites (12)
 
Resources (26)
 
Reflections (2)
solving equations math shell lesson image
   

Graphing Systems of Equations

Algebra I » Unit: Making Informed Decisions with Systems of Equations
Algebra I » Unit: Making Informed Decisions with Systems of Equations
Jason Colombino
Salem, MA
Environment: Urban
 
Big Idea:

Students use technology to create and interpret systems of equations graphically!

 
Favorites (14)
 
Resources (25)
 
Reflections (1)
graphing systems pic resized
   

Solving Systems by Graphing

Algebra I » Unit: Systems of Equations
Algebra I » Unit: Systems of Equations
James Dunseith
Worcester, MA
Environment: Urban
 
Big Idea:

As students gain confidence in graphing - and interpreting the intersection points on - systems of equations, we continue to see how this skill relates to guess and check.

 
Favorites (6)
 
Resources (21)
 
Reflections (1)
u5 l4 key elements of a graph
   

How Far Can Substitution Take You?

Algebra I » Unit: Systems of Equations
Algebra I » Unit: Systems of Equations
James Dunseith
Worcester, MA
Environment: Urban
 
Big Idea:

We'll practice the use of substitution while learning that attention to detail is paramount. Then students will see a problem that's just not so easy to solve by substitution...

 
Favorites (3)
 
Resources (16)
u5 l14 quiz good wrong answer ii
   

Three Ways to Solve a Problem

Algebra I » Unit: Systems of Equations
Algebra I » Unit: Systems of Equations
James Dunseith
Worcester, MA
Environment: Urban
 
Big Idea:

Over the course of today’s lesson, students will beg for an algebraic solution, understand on their own why it’s great that algebra was invented, and see the beauty of an elegant solution.

 
Favorites (3)
 
Resources (19)
 
Reflections (1)
u5 l9 connect dots and intersection
   

Mastery Session: MP1, 5.1, and 5.2

Algebra I » Unit: Systems of Equations
Algebra I » Unit: Systems of Equations
James Dunseith
Worcester, MA
Environment: Urban
 
Big Idea:

When students are given time to work at their own pace, without the pressure of a "quiz," they can make the most of an opportunity to show what they can do.

 
Favorites (2)
 
Resources (11)
knight v dragon
   

Sweet Problems with Two Variables

Algebra I » Unit: Systems of Equations
Algebra I » Unit: Systems of Equations
James Dunseith
Worcester, MA
Environment: Urban
 
Big Idea:

When we're working on "classic elimination problems" it's important to recognize whether we're looking for an unknown cost or an unknown quantity.

 
Favorites (4)
 
Resources (15)
u5 l16 sw cupcakes correct
   

An Intersection Point, and What Happens Around It

Algebra I » Unit: Systems of Equations
Algebra I » Unit: Systems of Equations
James Dunseith
Worcester, MA
Environment: Urban
 
Big Idea:

Often the truest solution to a problem is that "it depends". Substitution is an efficient method for finding the precise intersection of two lines; a graph makes it clear what happens on either side of that point.

 
Favorites (3)
 
Resources (14)
u5 l12 imperfect graphing
   

Alternate Method to Solve a System of Equations by Substitution

Algebra I » Unit: Systems of Equations
Algebra I » Unit: Systems of Equations
Rhonda Leichliter
Rogers, AR
Environment: Rural
 
Big Idea:

Students review the steps of solving a system of equations by substitution by alternating steps as they solve problems in pairs or groups.

 
Favorites (12)
 
Resources (15)
cooperative learning 2
   

The Best of 2 Cell Phone Plans

Algebra I » Unit: Systems of Equations
Algebra I » Unit: Systems of Equations
Rhonda Leichliter
Rogers, AR
Environment: Rural
 
Big Idea:

The purpose of this lesson is for students to understand how to analyze a system of equations to determine when a plan is cheaper, more expensive, or cost the same at certain points on the graph.

 
Favorites (4)
 
Resources (12)
 
Reflections (1)
cell phone plan
   

Creating and Interpreting Equations to Solve Systems

Algebra I » Unit: Making Informed Decisions with Systems of Equations
Algebra I » Unit: Making Informed Decisions with Systems of Equations
Jason Colombino
Salem, MA
Environment: Urban
 
Big Idea:

Students create systems of equations and attempt to solve them as an introduction to the relevance of solving systems of equations and inequalities!

 
Favorites (6)
 
Resources (22)
 
Reflections (1)
creating and int image resized
   

Quarters, Dimes and Linear Combinations

Algebra I » Unit: Systems of Equations
Algebra I » Unit: Systems of Equations
Rhonda Leichliter
Rogers, AR
Environment: Rural
 
Big Idea:

Students start with a concrete problem as they define constraints and progress to the abstract level of solving using algebraic methods. .

 
Favorites (3)
 
Resources (9)
quarters and dimes
   

From Graphing to Substitution

Algebra I » Unit: Systems of Equations
Algebra I » Unit: Systems of Equations
James Dunseith
Worcester, MA
Environment: Urban
 
Big Idea:

It’s amazing to get to the point where students truly understand how useful and beautiful algebra can be. Transitioning from graphing systems to solving by substitution is an opportunity to get kids there.

 
Favorites (2)
 
Resources (13)
u5 l10 mastery of slt 502
   

Algebraic Nuts and Bolts: Solving Systems

Algebra I » Unit: Systems of Equations
Algebra I » Unit: Systems of Equations
James Dunseith
Worcester, MA
Environment: Urban
 
Big Idea:

It's a pretty straightforward practice session, of the sort that kids actually look forward to after days of problem solving.

 
Favorites (3)
 
Resources (12)
u5 l13 working
Common Core Math
 
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