Lesson Mock Up
Lesson Overview
This lesson will take place over seven class periods which are all 60 minutes long
This lesson will take place over seven class periods which are all 60 minutes long
Day 1: Graphing Linear Equations Review
The launch of this lesson will consist of a review of graphing linear equations as well as an introduction to systems of linear equations.
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Day 2: Socrative Review of Linear Equations
This activity will be done using some form of 1:1 technology or in the computer lab if there is no classroom 1:1 technology available. This is a review exercise for the students and most importantly a type of diagnostic assessment for the teacher to understand what the students already know and what needs to be re-learned.
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Watch this Youtube video explaining how to use Socrative in the classroom!
A video demonstration using Socrative as an assessment tool via 1:1 technology (iPads).
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Day 3: Using Geogebra to Graph Systems
This will be the first of three methods that students will use in order to solve systems of linear equations. This method involves solving systems graphically by estimating and using technology to identify the point of intersection of the lines.
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Day 4: Substitution - Khan Academy
For today's lesson, students will be learning the second method for solving systems of linear equations: substitution. Students will be watching a demonstration of how to perform the steps in the method provided by Khan Academy. The video also includes a couple examples of using substitution. Students are encouraged to watch the video and pause it to take notes and perform the steps in the method along with the video.
For today's lesson, students will be learning the second method for solving systems of linear equations: substitution. Students will be watching a demonstration of how to perform the steps in the method provided by Khan Academy. The video also includes a couple examples of using substitution. Students are encouraged to watch the video and pause it to take notes and perform the steps in the method along with the video.
- Students will watch the Youtube video from Khan Acedemy.
- While watching the video, students will take notes on how to solve a system of linear equations using substitution.
- Students will also work through the practice problems in the video on their own.
- Students will be given a worksheet to work on which will require them to use substitution to solve the problems.
- Students will post their answers as a Google doc to the shared classroom folder where other students can look over the solutions and, in the comment section, tell their peers what they may have done wrong.
substitution_worksheet.pdf | |
File Size: | 30 kb |
File Type: |
Day 5: Elimination - Direct Instruction
The last of the three methods for solving systems of linear equations is elimination. Elimination can be very tricky and confusing if not explained correctly. I have chosen to give students direct instruction in the form of a Prezi presentation so that we can work our way through it at a comfortable pace and go through anything that doesn't make sense in more detail.
The last of the three methods for solving systems of linear equations is elimination. Elimination can be very tricky and confusing if not explained correctly. I have chosen to give students direct instruction in the form of a Prezi presentation so that we can work our way through it at a comfortable pace and go through anything that doesn't make sense in more detail.
- The essential part of the lesson will be the teacher going through the following Prezi presentation that explains the steps in the elimination method.
- We will work our way slowly through the presentation. Students will be encouraged to ask questions if they do not understand any of the steps in the method.
- After the steps have been shown, there will be some sample problems. I will first go through the problems at the board as a whole class and then allow students to work individually and/or in small groups to solve the problems.
- After students have had sufficient practice in solving systems using the elimination method, they will be required (in groups of 3-4) to make a video showing how to solve a system of linear equations using the elimination method. They must include at least one new example.
- The links to these videos will be put in a Google doc where students will be able to comment on and critique the videos of other groups.
Day 6: The Candy Store Problem
Students have now had sufficient practice in solving systems of linear equations using a variety of methods. Now they will be given the choice to solve the candy store problem using any of the methods they have seen so far.
Students have now had sufficient practice in solving systems of linear equations using a variety of methods. Now they will be given the choice to solve the candy store problem using any of the methods they have seen so far.
- Students will be given The Candy Store Problem (NCTM).
- In groups of 3-4, students will work through the problem and work on solving the system using any method of their choosing.
- Students will discuss in their small groups while solving the problems which method is the most effective and makes the most sense in this problem and which ones don't make sense to use.
- After solving the problem, students will work in their same small groups to come up with their own story problems involving systems of linear equations.
- Students will post their story problems as a Google doc or a blog post (something where peers can comment on their work).
- Other students will work to solve their peers' story problems and will post solutions and critiques in the form of a Google doc comment or a blog post comment.
- After students have had time to post and comment, we will go through each of the groups' story problems as a whole class and work through the solutions using a variety of methods.
Day 7: Final Project
Students have now had plenty of practice in working with systems of linear equations, the methods involved in solving them, and real-life application story problems involving systems. Now students will pull it all together by working in groups to show what all they have learned.
Students have now had plenty of practice in working with systems of linear equations, the methods involved in solving them, and real-life application story problems involving systems. Now students will pull it all together by working in groups to show what all they have learned.
- Students will work in small groups of 3-4 students.
- They will work in their small groups to write a blog post, post a video, or use some other form of media of their choosing to tell which method of solving systems of equations they found to be the most useful or effective.
- The final post should include the following:
- Which method was the most useful/effective?
- An example of a resource that used this method
- Why the method was most effective for your group.
- How the method was performed (i.e., the steps in using the method).
- How it is similar to and different than the other methods.
Evaluation of Student Work based on Standards/Objectives
The teacher will be monitoring students while they are working on the activities throughout the lesson using both informal and formal formative assessment to make sure the students are progressing toward reaching the objectives of the lesson.
Objectives of the lesson incorporate both the curriculum standards (Common Core State Math Standards) and the technology standards (NETS-S Technology Standards).
The teacher will be monitoring students while they are working on the activities throughout the lesson using both informal and formal formative assessment to make sure the students are progressing toward reaching the objectives of the lesson.
Objectives of the lesson incorporate both the curriculum standards (Common Core State Math Standards) and the technology standards (NETS-S Technology Standards).
Formative Assessment
Informal
Walking around while students are working in groups on the activities monitoring students' understanding of the material and asking students questions to elicit their thinking.
Formal
Using Socrative to ask students questions about what they have learned so far in order to guide future instruction.
Reviewing student homework problems for correctness and mathematical abilities
Monitoring students' blog posts, videos, comments, etc. to understand what students have learned and guide future instruction.
Informal
Walking around while students are working in groups on the activities monitoring students' understanding of the material and asking students questions to elicit their thinking.
Formal
Using Socrative to ask students questions about what they have learned so far in order to guide future instruction.
Reviewing student homework problems for correctness and mathematical abilities
Monitoring students' blog posts, videos, comments, etc. to understand what students have learned and guide future instruction.
Summative Assessment
The Day 7 final project will serve as part of the summative assessment of students' learning over the course of the lesson. In order to complete the project, students will be required to use what they have learned in the lesson to demonstrate their understanding of the material. Students will also be graded on the entire project according to a performance rubric (see below) where they will be rated in a number of different areas.
The Day 7 final project will serve as part of the summative assessment of students' learning over the course of the lesson. In order to complete the project, students will be required to use what they have learned in the lesson to demonstrate their understanding of the material. Students will also be graded on the entire project according to a performance rubric (see below) where they will be rated in a number of different areas.