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Lesson: Systems of Equations-Substitution
_____________________________________________________________________________
Common Core Learning Standard(s):
8.EE.8b-Solve systems of two linear equations in two variables algebraically, and estimate solutions by graphing the equations. Solve simple cases by inspection.
8.EE.8.c- Solve real-world and mathematical problems leading to two linear equations in two variables.Learning Objective: Students will solve a system of equations algebraically using substitution. Aspect of Rigor Targeted:
Conceptual Understanding Procedural Skill & Fluency Application
Lesson Launch: Exactly how will you use the first five-ten minutes of the lesson?
Bellwork
Tell students that todays lesson will build on their understanding of equations with two variables. Relate this work to their previous work with graphing linear equations to see where they intersect. The point of intersection is the solution to the equations.
Set up the scenario- Ms. Redd decided to purchase bags of M&Ms and Hershey Bars for all of her students. Each bag of M&Ms cost $3.00, while each Hershey Bar costs $2.00. She ended up spending $16.00 on her purchase of 6 items.Time:
20 minutes
Lesson Tasks, Problems, and Activities (attach resource sheets): What specific activities, investigations, problems, questions, or tasks will students be working on during the lesson.
-Give each group bags of M&Ms and Hershey bars to represent the problem.
Make sure to label each item with the cost so students can visualize what the cost will be.
Have students/groups complete part one of the table.
After groups have completed part 1, come back as a whole group to discuss findings. Completing the table first will allow students to manipulate the numbers to determine the solution to the problem
Have students/groups complete part two of the task. Numbers 5 and 6 can be completed as a group, but students may need guidance with how to substitute.
Once students have worked through the M&M problem, have students complete part 3 in groups.
30 minutesLesson Closure: Exactly what summary activity, questions, and discussion will close the lesson and provide a foreshadowing of tomorrow? List the questions.
To review the mathematics of the lesson, go over part 3 as a whole group. Allow different groups to discuss how they solved the problems.
10 minutesEvidence of Success: What exactly do I expect students to be able to do by the end of the lesson, and how will I measure student mastery? That is, deliberate consideration of what performances will convince you (and any outside observer) that your students have developed a deepened (and conceptual) understanding.
By the end of the lesson students should be able to substitute and find the solution to a system of equations. To measure student understanding, I will observe students as they discuss the problems in their groups. I do not expect students to master the concept of substitution in just one lesson, but I will be able to gauge their level of understanding by their discussion of the problems.
Anticipated Misconceptions:
Some students will struggle with the concept of substituting an expression instead of a value for a variable.
Materials/Resources:
Enough bags of M&Ms and Hershey bars with the cost labeled on each
M&Ms and Hershey bars student activity sheet
Homework:
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