Backwards-design Lesson Plan Template (sample)
Algebra 1: Systems of Equations (Test 7)
January 7-24, 2014
|Stage 1 – Desired Results |
|Content Standard(s): |
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|(A.8) Linear functions. The student formulates systems of linear equations from problem situations, uses a variety of methods to solve them, and |
|analyzes the solutions in terms of the situation. The student is expected to |
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|(A) analyze situations and formulate systems of linear equations in two unknowns to solve problems; Supporting Standard |
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|(B) solve systems of linear equations using [concrete] models, graphs, tables, and algebraic methods; and Readiness Standard |
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|(C) interpret and determine the reasonableness of solutions to systems of linear equations. Supporting Standard |
|Understanding (s)/goals |Essential Question(s): |
|Students will understand : |Give an example of a “system” in the real world? What is the purpose of |
|Solving equations for the variable y. |that system? |
|Evaluating expressions through substitution. |When 2 items intersect, what occurs? |
|How to write a coordinate point as a solution. |How do we graph a line from Standard Form? |
|The purpose of a solution. |How do we graph a line from Slope-Intercept Form? |
|The meaning of no solution. |Define substitution? Where have we used this before? |
|The meaning of infinite solutions. |Give an example of an independent variable? Dependent variable? |
|The meaning of one solution. |What’s the average height of a human being? (Reasonableness) |
|When to use graphing and when to use substitution to solve a system of |What’s the average shoe size of a human being? (Reasonableness) |
|equations. | |
|Student objectives (outcomes): |
|Students will be able to: |
|Identify and label independent and dependent variables. |
|Write a system of equations from a real world situation. |
|Solve a system of equations by graphing. |
|Solve a system of equations by substitution. |
|Solve a system of equations from a real world situation. |
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|Stage 2 – Assessment Evidence |
|Performance Task(s): |Other Evidence: |
|Teacher observation. |Homework |
|Individual and partner reflection on the process. |Quizzes |
|Students discuss and share in a classroom discussion or at the board. |Test #7 |
|Stage 3 – Learning Plan |
|Learning Activities: |
|Tuesday 1/7: Review 4.7 (parent functions) |
|Teacher led notes (Notes 4.7) |
|Independent work (Homework 4.7) |
|Differentiation: Small group work with teacher for those still struggling during Independent work |
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|Wednesday/Thursday 1/8, 1/9: Review 4.1-4.4 (graphing lines) |
|Group work: students will be partnered by ability and work together through the review sheet. |
|Differentiation: Small group work with teacher for those still struggling during Independent work |
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|Friday: Assessment 1/10 |
|Assess learning through Quiz |
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|Monday 1/13: Solving Systems of Equations by graphing |
|Problem #1 Warm-up, Partner work #2-3, Individual work #4 |
|Group work #5 (work through 6 together for those not understanding), Individually #6 if successful on #5 |
|Differentiation: Work #7 for those who understand #1-6 |
|Homework Due Friday 1/11/13 |
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|Tuesday 1/14 and Wednesday/Thursday 1/15, 1/16: Solving equations by graphing and substitution |
|Think-Pair-Share steps to solving a system of equations by substitution. |
|Peer Evaluation #1-6 (partner 1 does graph, partner 2 does substitution and then check answers). Alternate jobs throughout the 6 problems. |
|Peer Tutoring #7-12 (on your own) |
|Differentiation: Work #7-12 with teacher group if not understanding #1-6 |
|Differentiation: Mixed Review 7.1-7.4 |
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|Friday 1/17: Assessment |
|Check Homework |
|Assess learning through Quiz |
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|Tuesday 1/21: Writing systems of equations and solving from real situations |
|Think-Pair-Share #1(Independent/Dependent Variables, Totals, 2 equations) |
|Peer Evaluation #2 |
|Differentiation: Work #3 individually for those who understand |
|Differentiation: Work #3 with teacher group for those who don’t understand |
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|Wednesday/Thursday 1/22, 1/23: Writing systems of equations and solving from real situations |
|Warm up: Those successful partner up and work through problems. Those unsuccessful partner up and |
|work in groups with the teacher. |
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|Friday 1/24: Assessment |
|Test #7 |
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