1. Adrian Hampton 10/4/2018 Graphing Systems of Equations
Algebra 1
Adrian Hampton
10/4/2018
Graphing Systems of Equations
Make sure this slide is completed. Students will NOT view this slide. This slide is for lesson planning purposes only.

2. From which standard is today’s learning taken?
Type the standard in below:
Explain why the x-coordinates of the points where the graphs of the equations y = f(x) and y = g(x) intersect are the solutions of the equations.
f(x) = g(x); find the approximate solutions using technology.
TODAY’S TASK:
You can choose between two basketball courts at two community centers to take basketball lessons. One community center charges $25 per hour. The other center charges $20 per hour plus a $10 registration fee. Write a system of equation to represent the cost of using each center and then use your calculator to see when the amount of hours for which the costa are the same.
Students will NOT view this slide. This slide is for lesson planning purposes ONLY.
Once you have written the standard, align TODAY’S TASK to the standard. TODAY’S TASK is also written on another slide AND displayed on the board.
Color code the standard to match the corresponding part of the task that was designed to match that particular part of the standard.
TODAY’S TASK will be the last assignment (ticket-out the door) that students complete.
TODAY’S TASK will show you if students are able to demonstrate the standard with fidelity.

3. Questions (be sure to read the definitions for each level to make sure your question causes students to perform at the intended level – T3, T4, T5, and T6 are addressed with questions)
Question Level
Write the question(s) you will ask from this level of Bloom’s?
What part of the lesson will this happen?
What questioning strategy will you use when you ask this question?
Knowledge
What letter do we have to get by itself?
Bell Work Breakdown
Group response
Comprehension
How would you describe this graph?
Tier 2
Students answer with fingers
Application
How could I change the slope to create a different system?
Tier 1
Call on a student
Analysis
What is the relationship between the two slopes of the system?
Frontloading
Cal on a student
How would you know the type of system before you graph?
Have a student pick a student
Synthesis
What are the difference between a consistent and an inconsistent system?
What would happen if we only had a x verses only having a y?
Evaluation
What do the coordinates represent in the scenario?
Today’s Task
What errors did the students make in solving their problem?
Students will not see this slide. This slide is simply meant for you to plan the questions you’re going to ask and to tell what part of the lesson you will ask those questions. Additionally, you will explain what questioning techniques you intend to use during this lesson.
This slide is intended to make you intentional about questioning students. It in no way limits how many questions you should ask, but it helps you to plan for the minimum amount of questions you should ask during any lesson.
Use question stems from each level of Bloom’s to assist you with creating questions. Write your questions in the box and be sure to tell which part of the lesson you will ask those questions.
Knowledge level question stems (samples) : Students are remembering or recalling previously learned information.
What happened after ...?
How many ...?
Who was it that ... ?
Can you name the ... ?
Describe what happened at...?
Can you tell why ... ?
Find the meaning of ... ?
What is ...?
Which is true or false ... ?
Comprehension level question stems (samples): Students demonstrate an understanding of facts
Can you write in your own words...?
Can you write a brief outline ... ?
What do you think could of happened next ... ?
Who do you think ... ?
What was the main idea ... ?
Can you distinguish between ... ?
What differences exist between. ..?
Can you provide an example of what you mean ... ?
Can you provide a definition for ... ?
Application level question stems (samples): Students apply knowledge to actual situations
Do you know another instance where ... ?
Could this have happened in ... ?
Can you group by characteristics such as ... ?
What factors would you change if ... ?
Can you apply the method used to some experience of your own ... ?
What questions would you ask of ... ?
From the information given, can you develop a set of instructions about ... ?
Would this information be useful if you had a ... ?
Analysis level question stems (samples): Break down objects or ideas into simpler parts and find evidence to support generalizations.
Which events could have happened ...?
If ... happened, what might the ending have been?
How was this similar to ... ?
What was the underlying theme of ... ?
What do you see as other possible outcomes?
Why did ... changes occur?
Can you compare your ... with that presented in ... ?
Can you explain what must have happened when ... ?
What are some of the problems of ... ?
Can you distinguish between ...?
What were some of the motives behind ... ?
What was the turning point in the game?
Synthesis level question stems (samples): Compile component ideas into a new whole or propose alternative solutions.
Can you design a ... to ... ?
Why not compose a song about ...?
Can you see a possible solution to ... ?
If you had access to all resources how would you deal with ... ?
Why don't you devise your own way to deal with ... ?
What would happen if ...?
How many ways can you ... ?
Can you create new and unusual uses for ... ?
Can you write a new recipe for a tasty dish?
Can you develop a proposal which would ... ?
Evaluation level question (samples): Make and defend judgments based on internal evidence or external criteria.
Is there a better solution to ...
Judge the value of. ..
Can you defend your position about ... ?
Do you think ... is a good or a bad thing? Explain.
How would you have handled ... ?
What changes to ... would you recommend?
Are you a ... person? How do you know?
How would you feel if ... ?
How effective are … ?
What do you think about ... ?
Students can break material into its constituent parts and detect how the parts relate to one another and to an overall structure or purposeEvaluatingStudents can make a judgment based on criteria and standardsCreating (highest-order)Students can put elements together to form a novel, coherent whole or make an original product

4. Bellwork 5 minutes 6 minutes 7 minutes 9 minutes 4 minutes 3 minutes
TIME IS UP!
2 minutes
8 minutes
10 minutes
Graph the linear equations
2x – 6y = 12
x = -3
Instructional supplies and copied are prepared.
This is the 1st slide seen by students. The time does not begin until you click the slide.
This slide should be “clicked” when the bell rings ending class (there is enough time allotted for students to have 8 minutes to complete bellwork from when the short bell sounds.
Bellwork introduces the lesson or is a warm-up to what students are going to do today. In some cases, bellwork is a review of what happened during the last class period.
Write your bellwork in the space provided. If you are giving students a hand-out to complete, make a notation on this slide.
When this slide is finished, bellwork should be collected BEFORE you go over the answers.
All bellwork must be graded and returned in 24 hours or the grade will not count.
Time is not extended.
***Students should answer three standards-based questions (test questions)

5. Bellwork Breakdown 1 minute 4 minutes 3 minutes 2 minutes TIME IS UP!
Graph the linear equations
2x – 6y = 12
x = -3
Use this time/slide to discuss the correct answers/responses to the bellwork students have just completed. REMEMBER to take up the bellwork BEFORE discussing the bellwork so that you truly know what students know and are able to do.

6. Connection 60 seconds TIME IS UP!
Today, you will learn: how to graph systems of equations.
Today’s Text: Textbook/Workbook 3-1
Today’s Task: You can choose between two basketball courts at two community centers to take basketball lessons. One community center charges $25 per hour. The other center charges $20 per hour plus a $10 registration fee. Write a system of equation to represent the cost of using each center and then use your calculator to see when the amount of hours for which the costa are the same.
The information on this slide should also be written on the board (this is the white board protocol).
After you have gone over the bellwork, and BEFORE you frontload for the day, you should engage students in this connection slide.
Today, you will learn: This should be written in student-friendly language and should be no more than 10 words total
Today’s Text: Every lesson should be driven by text. What text will you use to drive this work?
Today’s Task: Copy TODAY’S TASK from slide 2

7. Frontloading 6 minutes 3 minutes 2 minutes 1 minute 5 minutes
TIME IS UP!
5 minutes
4 minutes
*System of equations – a set of two or more equations.
*Two methods that we will use:
1. Graphing
2. Elimination
*3 types of system of equation graphs:
Lines that intersect
Lines that are parallel
Line that coincide
Introduce the lesson using this slide. How will you hook students and gain their interest? What notes will students be required to take? **students should NEVER be allowed to sit idly while the teacher talks – if it’s important enough for the teacher to write, it’s important enough for the student to write.
Remember that notes (and how students take them, where they keep them, and how they use them again) must be intentional
Additional facilitating will happen in small groups.
Frontloading can happen in any of the following ways:
Activate prior knowledge
Model thought process
I do, we do, you do
Use verbal cues
Motivational context to pique student interest/curiosity
Display historical timeline to offer a context for learning
Model activity students will be asked to complete
Break complex tasks into easier steps
Offer hints/partial solutions to problems
Teach students chants/mnemonic devices to ease memorization of key facts/procedures
Guiding students to make a prediction about what expect to occur
Allow students to contribute their own experiences that relate to the subject/content being discussed

8. Who will begin this task?
Tiered Tasks
3 minutes
2 minutes
1 minute
TIME IS UP!
TIER
Time Allotted
Who will begin this task?
Task
Tier #1 6
minutes
Students who missed both warm-up questions
Students will outline the steps required to graph a linear equation.
Tier #2 7
Students who missed 1 warm-up question
Students will sketch a graph of the system and classify the parts using their arms.
Today’s Task
15 minutes
Students who answered both warm-up questions correctly
You can choose between two basketball courts at two community centers to take basketball lessons. One community center charges $25 per hour. The other center charges $20 per hour plus a $10 registration fee. Write a system of equation to represent the cost of using each center and then use your calculator to see when the amount of hours for which the costa are the same.
During this three minutes, you will tell students which tier they will begin. Give students a chance to move, collect supplies, etc (if applicable)… You can simply copy and paste these same assignments on the next slide.
How to complete the slides:
Decide which students will begin in which tier. True differentiation does not require all students to complete all assignments.
The “TIER 1” assignment should utilize verbs from the KNOWLEDGE level of Bloom’s.
*In the KNOWLEDGE level of Bloom’s, students remember/recall previously learned information. The verbs to use in this level are: arrange, define, describe, duplicate, identify, label, list, match, memorize, name, order, outline, recognize, relate, recall, repeat, reproduce, select, state
The “TIER 2” assignment should utilize verbs from the COMPREHENSION and APPLICATION levels of Bloom’s.
*In the COMPREHENSION level of Bloom’s, students demonstrate an understanding of the facts. The verbs to use in this level are: classify, convert, defend, describe, discuss, distinguish, estimate, explain, express, extend, generalized, give examples, identify, indicate, infer, locate, paraphrase, predict, recognize, rewrite, review, select, summarize, translate
*In the APPLICATION level of Bloom’s, students apply knowledge to actual situations. The verbs to use in this level are: apply, change, choose, compute, demonstrate, discover, dramatize, employ, illustrate, interpret, manipulate, modify, operate, practice, predict, prepare, produce, relate, schedule, show, sketch, solve, use, write
Today’s Task is simply copied from slide 2 of this presentation. This is the last assignment students will complete before leaving class. Students only have 14 minutes to complete this assignment and timing for this assignment will continue on the next few slides.

9. Who will begin this task?
Tiered Tasks
4 minutes
6 minutes
5 minutes
3 minutes
TIME IS UP!
1 minute
2 minutes
TIER
Time Allotted
Who will begin this task?
Task
Tier #1
6 minutes
Students who missed both warm-up questions
Students will outline the steps required to graph a linear equation.
Tier #2
7 minutes
Students who missed 1 warm-up question
Students will sketch a graph of the system and classify the parts using their arms.
Today’s Task
15 minutes
Students who answered both warm-up questions correctly
You can choose between two basketball courts at two community centers to take basketball lessons. One community center charges $25 per hour. The other center charges $20 per hour plus a $10 registration fee. Write a system of equation to represent the cost of using each center and then use your calculator to see when the amount of hours for which the costa are the same.
The “TIER 1” assignment should utilize verbs from the KNOWLEDGE level of Bloom’s.
*In the KNOWLEDGE level of Bloom’s, students remember/recall previously learned information. The verbs to use in this level are: arrange, define, describe, duplicate, identify, label, list, match, memorize, name, order, outline, recognize, relate, recall, repeat, reproduce, select, state
The “TIER 2” assignment should utilize verbs from the COMPREHENSION and APPLICATION levels of Bloom’s.
*In the COMPREHENSION level of Bloom’s, students demonstrate an understanding of the facts. The verbs to use in this level are: classify, convert, defend, describe, discuss, distinguish, estimate, explain, express, extend, generalized, give examples, identify, indicate, infer, locate, paraphrase, predict, recognize, rewrite, review, select, summarize, translate
*In the APPLICATION level of Bloom’s, students apply knowledge to actual situations. The verbs to use in this level are: apply, change, choose, compute, demonstrate, discover, dramatize, employ, illustrate, interpret, manipulate, modify, operate, practice, predict, prepare, produce, relate, schedule, show, sketch, solve, use, write
Today’s Task is simply copied from slide 2 of this presentation. This is the last assignment students will complete before leaving class. Students only have 14 minutes to complete this assignment and timing for this assignment will continue on the next few slides.

10. Who will begin this task?
Tiered Tasks
4 minutes
6 minutes
5 minutes
3 minutes
TIME IS UP!
1 minute
2 minutes
7 minutes
TIER
Time Allotted
Who will begin this task?
Task
Tier #2
7 minutes
Students who missed 1 warm-up question
Students will sketch a graph of the system and classify the parts using their arms.
Today’s Task
15 minutes
Students who answered both warm-up questions correctly
You can choose between two basketball courts at two community centers to take basketball lessons. One community center charges $25 per hour. The other center charges $20 per hour plus a $10 registration fee. Write a system of equation to represent the cost of using each center and then use your calculator to see when the amount of hours for which the costa are the same.
Enrichment
Until the bell sounds
Completed Today’s Task
Peer-tutor for extra credit
The “TIER 2” assignment should utilize verbs from the COMPREHENSION and APPLICATION levels of Bloom’s.
*In the COMPREHENSION level of Bloom’s, students demonstrate an understanding of the facts. The verbs to use in this level are: classify, convert, defend, describe, discuss, distinguish, estimate, explain, express, extend, generalized, give examples, identify, indicate, infer, locate, paraphrase, predict, recognize, rewrite, review, select, summarize, translate
*In the APPLICATION level of Bloom’s, students apply knowledge to actual situations. The verbs to use in this level are: apply, change, choose, compute, demonstrate, discover, dramatize, employ, illustrate, interpret, manipulate, modify, operate, practice, predict, prepare, produce, relate, schedule, show, sketch, solve, use, write
Today’s Task is simply copied from slide 2 of this presentation. This is the last assignment students will complete before leaving class. Students only have 14 minutes to complete this assignment and timing for this assignment will continue on the next few slides.
Next steps should be an enrichment activity that students look forward to completing.

11. Who will begin this task?
Tiered Tasks
14 minutes
9 minutes
10 minutes
6 minutes
15 minutes
11 minutes
8 minutes
7 minutes
5 minutes
1 minute
TIME IS UP!
2 minutes
4 minutes
3 minutes
13 minutes
12 minutes
TIER
Time Allotted
Who will begin this task?
Task
Today’s Task
15 minutes
Students who answered both warm-up questions correctly
You can choose between two basketball courts at two community centers to take basketball lessons. One community center charges $25 per hour. The other center charges $20 per hour plus a $10 registration fee. Write a system of equation to represent the cost of using each center and then use your calculator to see when the amount of hours for which the costa are the same.
Enrichment
Until the bell sounds
Completed Today’s Task
Peer-tutor for extra credit
Today’s Task is simply copied from slide 2 of this presentation. This is the last assignment students will complete before leaving class. Students only have 14 minutes to complete this assignment and timing for this assignment will continue on the next few slides.
Next steps should be an enrichment activity that students look forward to completing.

12. Why is this important? 2 minutes 1 minute TIME IS UP!
Systems allow you to compare similar quantities to see if and how they relate.
Why is this important: Allow students to process what they are learning today and discuss how what they have learned will be useful (they can not say so that can pass the class nor can they say “for the test”…