Algebra I
154 Lessons
North High
Worcester, MA
Urban Environment
Unit 9 - Systems of Equations(20 Lessons)
Solving Problems in Two or More UnknownsAlgebra I» Unit:Systems of Equations
Algebra I
» Unit:
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.
Organizing a List and Guess & CheckAlgebra I» Unit:Systems of Equations
Algebra I
» Unit:
Systems of Equations
Big Idea:In order for guessing and checking to be useful and efficient, it’s important to have an idea of how to organize a list of possibilities.
What's In an Intersection?Algebra I» Unit:Systems of Equations
Algebra I
» Unit:
Systems of Equations
Big Idea:The "closeness" of one graph to another matches the accuracy of a guess and a check.
Solving Systems by GraphingAlgebra I» Unit:Systems of Equations
Algebra I
» Unit:
Systems of Equations
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.
Mastery Session: MP1, 5.1, and 5.2Algebra I» Unit:Systems of Equations
Algebra I
» Unit:
Systems of Equations
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.
From Guess and Check to Graphing SystemsAlgebra I» Unit:Systems of Equations
Algebra I
» Unit:
Systems of Equations
Big Idea:Student work from the previous lesson informs my approach with each student.
Graphing Lines and Getting Stuff DoneAlgebra I» Unit:Systems of Equations
Algebra I
» Unit:
Systems of Equations
Big Idea:A little over a week into a systems unit, it's important to take a little time to meet kids where they are and assess where they're at. Today's work will serve as a springboard to the next few days.
Linear Equation Drills (Computer Lab)Algebra I» Unit:Systems of Equations
Algebra I
» Unit:
Systems of Equations
Big Idea:Today’s practice session is high-spirited and fun as students have an opportunity to demonstrate mastery of learning targets from earlier in the year.
Three Ways to Solve a ProblemAlgebra I» Unit:Systems of Equations
Algebra I
» Unit:
Systems of Equations
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.
From Graphing to SubstitutionAlgebra I» Unit:Systems of Equations
Algebra I
» Unit:
Systems of Equations
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.
REALLY BIG IDEAS! Graphing vs. SubstitutionAlgebra I» Unit:Systems of Equations
Algebra I
» Unit:
Systems of Equations
Big Idea:If you’re going to have a variety a tools, it’s a good idea to have a good idea of what each is good for!
An Intersection Point, and What Happens Around ItAlgebra I» Unit:Systems of Equations
Algebra I
» Unit:
Systems of Equations
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.
Algebraic Nuts and Bolts: Solving SystemsAlgebra I» Unit:Systems of Equations
Algebra I
» Unit:
Systems of Equations
Big Idea:It's a pretty straightforward practice session, of the sort that kids actually look forward to after days of problem solving.
The Most Important Algebraic Idea of the YearAlgebra I» Unit:Systems of Equations
Algebra I
» Unit:
Systems of Equations
Big Idea:At the center of algebra is the idea that if this is the same thing as that, then we can replace that with this, and use the results to solve a problem.
How Far Can Substitution Take You?Algebra I» Unit:Systems of Equations
Algebra I
» Unit:
Systems of Equations
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...
Sweet Problems with Two VariablesAlgebra I» Unit:Systems of Equations
Algebra I
» Unit:
Systems of Equations
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.
Many Lines Through One PointAlgebra I» Unit:Systems of Equations
Algebra I
» Unit:
Systems of Equations
Big Idea:"This may be a new idea to you, but you're allowed to add entire equations together!"
Solving Systems by EliminationAlgebra I» Unit:Systems of Equations
Algebra I
» Unit:
Systems of Equations
Big Idea:The purpose of yesterday's lesson was to build appreciation for the idea behind elimination. Now it's time to apply that idea and solve some systems!
Three Days of Review, Problem Solving, and Achieving MasteryAlgebra I» Unit:Systems of Equations
Algebra I
» Unit:
Systems of Equations
Big Idea:Time is structured to encourage student autonomy and decision-making, and it's outstanding to watch students rise to the challenge.
Unit 5: Systems of Equations, Two Day ExamAlgebra I» Unit:Systems of Equations
Algebra I
» Unit:
Systems of Equations
Big Idea:Open-ended problem solving comes BEFORE multiple-choice! (Because, what's more important?)
