warm-up : copy and answer the following questions: define a variable and write an equation to model...
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Warm-up : Copy and answer the following questions:Define a variable and write an equation to model the situation:
1. The total price is the number of video games times $37.99
Draw a picture, define the variables, and write an equation to model the situation:
2. What is the area of a garden where the length is 3 feet longer than the width?
Tuesday-10/09/07Objective: Students will…- apply the rubric components of AREA J in
order to effectively answer E.C.R.’s and B.C.R.’s .
HW: Finishline pg. 12 - 13 #’s 1-6(Answers only)HW: Finishline pg. 12 - 13 #’s 1-6(Answers only)• Complete this assignment on a half sheet of paper!Complete this assignment on a half sheet of paper!
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Note:Note:
1.Leave no spaces on grid between your response.
2.No mixed numbers can be entered into the grid.
3.You may start on the right or left!
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Writing WorkshopWriting WorkshopAlgebra HSA ALAlgebra HSA AL
Day 1Day 1
Answering ECRs Answering ECRs and BCRs Using and BCRs Using
AREA JAREA J
Answering ECRs Answering ECRs and BCRs Using and BCRs Using
AREA JAREA J
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Three Skills to Improving Students
Score
Understanding the Rubrics
Recognizing the actions
Completing each action
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Understanding the Rubrics
Ensuring students understand:
– the language of the rubrics using the Cues for Students
– the difference between ECR and BCR rubrics
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BCR RubricLevel 3
The response indicates application of a
reasonable strategy that lead to a correct solution
in the context of the problem. The
representations are essentially correct. The
explanation and/or justification is logically
sound, clearly presented, fully developed, supports
the solution, and does not contain significant
mathematical errors. The response demonstrates a
complete understanding and analysis of the
problem.
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ECR Rubric
The response indicates application of a reasonable
strategy that leads to a correct solution in the
context of the problem. The representations are
correct. The explanation and/or justification is
logically sound, clearly presented, fully developed,
supports the solution, and does not contain
significant mathematical errors. The response
demonstrates a complete understanding and
analysis of the problem.
Level 4
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Cues for Students Cues for Students PuzzlePuzzle
Cues for Students Cues for Students PuzzlePuzzle
1. Lay out the words in all capital letters!
2.Sort the strips in each individual envelope and place the strips next to the words that best explain the AREA J categories!
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Cues for StudentsANALYSIS
•Consider what the question asks you to do.What information is given in the problem?What information do you need to solve the problem?
•Think about what you would do to solve the problem.
EXAMPLE:
•To solve this problem, I must:-find out how many feet of fencing it will take to enclose Wanda’s garden.-use the formula for perimeter of a rectangle, because I know it has one side of 18 feet and one side of 12 feet and that would make a rectangle shaped garden.
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Cues for StudentsREPRESENTATION
•Write an equation or inequality. Define the variables. Let x = ____ and/or let y = ____.
•Create a graph, chart, or table. Include titles, axes, labels, and scales.
•Create a drawing or construction.
EXAMPLE:
Let P = perimeter P = 2(18 feet) + 2(12 feet)Let l = length l = 18 feet Let w = width w = 12 feet
12 feetWanda’s garden
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Cues for StudentsAPPLICATION
•Solve the problem.
•Write the answers in the context of the problem.
•Be sure you answer what is asked for in the problem.
•Check to see if the answer is reasonable.P = 2(18 feet) + 2(12 feet)P = 36 feet + 24 feetP = 60 feet
EXAMPLE:It will take 60 feet of fencing to enclose the entire garden.
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Cues for Students
EXPLANATION
•Write or describe the steps you used to solve the problem.
EXAMPLE:If Wanda’s garden is 18 feet long and 12 feet wide, then P = 2(18 feet) + 2(12 feet), and that equals 60 feet.
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Cues for StudentsJUSTIFICATION
•Use mathematics (definitions, theorems, reasoning, principles) to support your solution and/or process.
Write the mathematics concepts you used.Tell why you solved the problem as you did.Demonstrate that the solution is correct.
EXAMPLE:I know 60 feet is a correct answer because, I used the formula to find the perimeter of a rectangle, .
60 = 2(18 feet) + 2(12 feet)60 = 36 feet + 24 feet60 = 60
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AREA J
Respond to all BCRs and ECRs using AREA J
ANALYSIS:WHAT IS THE PROBLEM ASKING AND WHAT MATHEMATICAL METHOD DO I USE TO SOLVE THE PROBLEM?
EXPLANATION:WHAT DID YOU DO TO SOLVE THE PROBLEM. ANSWER THE ORIGINAL QUESTION IN A COMPLETE SENTENCE. USE MATHEMATICAL TERMS.
APPLICATION:SOLVE THE PROBLEM. SHOW ALL THE WORK.
REPRSENTATION:GRAPH, TABLE, DRAWING, EQUATIONS WITH VARIABLES DEFINED
JUSTIFICATION:HOW DO YOU KNOW YOUR ANSWER IS CORRECT?
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Explanation refers to the student
using the language of mathematics to communicate
HOW the student arrived
at the solution
Justification refers to the student
using mathematical principles
to support the reasoning
used to solve the problem or to
DEMONSTRATE the solution is correct
This could include the appropriate
definitions, postulates and theorems
Knowing the Difference
Explanation and Justification
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Apply AREA JApply AREA JApply AREA JApply AREA J
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H.S.A. Quiz• Use a pencil only!
NO TALKING!• Please write your name at the top of the
sheet of paper!• Show all work for partial credit!• Please circle/box the final answer, if possible! • Upon completion, please turn in and use a
computer in order to check your current grade on www.mygradebook.com
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Closure – 1 VolunteerClosure – 1 VolunteerClosure – 1 VolunteerClosure – 1 Volunteer
Answer the following question in you own words!
What new concept did you learn today about the HSA?