The DeKalb County School System

The Department of Middle School Instruction

Standards-based Lesson Plan Template Standards/Elements:
Define, Evaluate, and Compare Functions:
MGSE8.F.1 Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output.
MGSE8.F.2 Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions).
MGSE8.F.3 Interpret the equation y = mx+b as defining linear functions, whose graph is a straight line; give examples of functions that are not linear.
Understand the connections between proportional relationships, lines, and linear equations:
MGSE8.EE.5 Graph proportional relationships interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways.
MGSE8.EE.6 Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordingate plane; derive the equation y = mx+b for a line through the origin and the equation y = mx+b for a line intercepting the vertical axis at b.
MGSE8.EE.8 Analyze and solve pairs of simultaneous linear equations (systems of equations).
MGSE8.EE.8a Understand that solutions to a system of two linear equations in two variables correspond to points of intersection of their graphs, because points of intersection satisfy both equations simultaneously.
MGSE8.EE.8b Solve systems of two linear equations in two variables algebraically, and estimate solutions by graphing the equations. Solve simple cases by inspection.
MGSE8.EE.8c Solve real-world and mathematical problems leading to two linear equations in two variables.
Essential Question(s): 1.  How do I graph a linear equation?
2.  What does the point of intersection mean?
3.  What is a system of equations?
4.  What does it mean to solve a system of linear equations?
5.  How do I decide which method would be easier to use to solve a particular system of equations?
6.  How can I translate a problem situation into a system of equations?
7.  What does the solution to a system tell me about the answer to a problem situation?
8.  How can I interpret the meaning of a “system of equations” algebraically and geometrically?
9.  How can the solution to a system be interpreted geometrically? / GPS Task or Teacher Design Task
1.  Slope-Intercept
2.  Multiple Representations of Linear Functions
3.  Systems of Equations (Graphing)
4.  Systems of Equations (Substitution)
5.  Systems of Equation (Elimination)
Instructional Board Task Display:
*Learning Strategies and other Researched Best Practices
*Chunking the text / *Marking the Text / *KWL Chart / *PACA / *Questioning the Text / *Summarizing/Paraphrasing/
Retelling / *Journal/
Quickwrite / *Draw a Sketch
/ *Debriefing
X / *Group Presentation
*Think-Pair-Share
X / Cooperative Groups / Manipulatives / Inquiry Learning
X / Technology
X / Graphing Calculators / Drama / Graphic Organizers / Compare/Contrast
X / Real-World
Connections
X
Monday
03/27 / Tuesday
03/28 / Wednesday
03/29 / Thursday
03/30 / Friday
03/31
Elements / MGSE8.EE.8a, MGSE8.EE.8b, MGSE.EE.8c / MGSE8.EE.8a, MGSE8.EE.8b, MGSE.EE.8c / MGSE8.EE.8a, MGSE8.EE.8b, MGSE8.EE.8c / MGSE8.EE.8a, MGSE8.EE.8b, MGSE8.EE.8c / MGSE8.EE.8a, MGSE8.EE.8b, MGSE8.EE.8c
Warm-Up / Refer to the board for teacher made problem. / Refer to the board for teacher made problem. / Refer to the board for teacher made problem. / Refer to the board for teacher made problem. / Refer to the board for teacher made problem.
Explanation (Opening) / - Notes on systems of equations / - Notes on systems of equations / - Notes systems of equations / - Notes on systems of equations / - Notes on systems of equations
Application (Work Period) / - Solving Systems of Equations Mixed Sheet (All 3 Methods)
- Review rate of change; writing in y=mx+b; converting from standard form to slope-intercept form vice versa; graphing in slope-intercept form; systems of equations (graphing,
substitution, & elimination)
Differentiation:
Group A: www.kahoot.it or www.brainpop.com
Group B: www.explorelearning.com (Reteach) / - Solving Systems of Equations Mixed Sheet (All 3 Methods)
- Review rate of change; writing in y=mx+b; converting from standard form to slope-intercept form vice versa; graphing in slope-intercept form; systems of equations (graphing,
substitution, & elimination)
Differentiation:
Group A: www.kahoot.it or www.brainpop.com
Group B: www.explorelearning.com (Reteach) / - Solving Systems of Equations Mixed Sheet (All 3 Methods)
- Review rate of change; writing in y=mx+b; converting from standard form to slope-intercept form vice versa; graphing in slope-intercept form; systems of equations (graphing,
substitution, & elimination)
Differentiation:
Group A: www.kahoot.it or www.brainpop.com
Group B: www.explorelearning.com (Reteach) / - Solving Systems of Equations Mixed Sheet (All 3 Methods)
- Review rate of change; writing in y=mx+b; converting from standard form to slope-intercept form vice versa; graphing in slope-intercept form; systems of equations (graphing,
substitution, & elimination)
Differentiation:
Group A: www.kahoot.it or www.brainpop.com
Group B: www.explorelearning.com (Reteach) / - Game Day
- Review rate of change; writing in y=mx+b; converting from standard form to slope-intercept form vice versa; graphing in slope-intercept form; systems of equations (graphing, substitution, and elimination)
Synthesis (Closing) / Review/Recap/Clarify
- “Check for Understanding” Activity
HW: Review graphing in slope-intercept form; systems of equations (graphing, substitution, & elimination). / Review/Recap/Clarify
- “Check for Understanding” Activity
HW: Review graphing in slope-intercept form; systems of equations (graphing, substitution, & elimination); USA Test Prep Assignment. / Review/Recap/Clarify
- “Check for Understanding” Activity
HW: Review graphing in slope-intercept form; systems of equations (graphing, substitution, and elimination); USA Test Prep Assignment. / Review/Recap/Clarify
- “Check for Understanding” Activity
HW: Review graphing in slope-intercept form; systems of equations graphing, substitution, and elimination). / Review/Recap/Clarify
- “Check for Understanding” Activity
HW: No Homework
Teacher Reflection of Lesson: