lesson: the sandwich artist - amazon web services · 2019-12-04 · midschoolmath the sandwich...
TRANSCRIPT
MidSchoolMath 1
The ability to recognize the signs of opposite numbers both conceptually and visually on a number line encourages students to use rational thinking and enhances their knowledge of number sense. In The Sandwich Artist, Chef Pierre is training new chef Lucinda on his ways. He introduces her to the sandwich ruler, which will help to make "ze perfect" sandwich. Lucinda recognizes that the ruler is a number line running from -10 to 10 with zero exactly in the middle. Chef Pierre explains that the rule to create "ze perfect" sandwich is to place the toppings at opposite locations along the sandwich ruler. Chef Pierre starts a sandwich which Lucinda must finish. The data provided is an image of the ruler and the sandwich with various toppings in specific positions.
LESSON: THE SANDWICH ARTISTWhere should she place the rest of the sandwich toppings?
The Sandwich Artist
Recognize opposite signs of numbers as indicating locations on opposite sides of 0 on the number line; recognize that the opposite of the opposite of a number is the number itself, e.g., -(-3) = 3, and that 0 is its own opposite.
The Math SimulatorTM
ImmersionPlay The Sandwich Artist Immersion video, whole-class. Restate the question: Where should she place the rest of the sandwich toppings?Facilitate classroom discussion; ask students: "What do we need to know?"
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2 Data & ComputationPrint the Data Artifact and distribute to students. Allow students work time. Ask students: "Does your answer make sense?"Consider using a sharing protocol leading to mathematical insights and/or highlighting misconceptions. Allow students to revise their work.
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3 ResolutionPlay The Sandwich Artist Resolution video, whole-class. Prepare and give brief lecture (Teacher Instruction).
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Download the Detailed Lesson PlanAvailable on the Teacher Dashboard
+ Simulation TrainerAssign the Simulation Trainer.Use protocols that encourage students to help each other.Use Progress Monitoring to access real-time data for the classroom.Provide individual help for students who are not making progress.
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(Use student headphones.)
6.NS.C.6aThe Number System
MidSchoolMath The Sandwich Artist
Clicker QuizLaunch the Clicker Quiz, whole-class.
6.NS.C.6aThe Number System
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Gladys: Provide students with many opportunities to explore the idea of opposites with fractions and decimals, in addition to whole numbers.
Kevin: During this standard, emphasize that putting a negative sign in front of a number changes the direction of the number (from positive to negative or from negative to positive).
Megan: Using the language "the opposite of" will help move students toward understanding that a variable does not always represent a positive number. For example, -p = 3 tells us that "the opposite of p is 3." So p = -3.
KevinSimpson
GladysGraham
MeganLeBleu
Ex. Clicker Quiz #2Standard Math Procedures
Instruction at a Glance
1 Analyze the given values.
m = -3
p = -2q = -q q and -q are the same number
q = 0
n = -m n = the opposite of m
n = -3
D
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Determine the values of n and q.
Select the number line with the values plotted correctly.
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THE SANDWICH ARTISTWhere should she place the rest of the sandwich toppings?New chef Lucinda is working on her own for the fi rst time and is determined to make Chef Pierre proud by creating ze perfect sandwich. According to Chef Pierre, ze perfect sandwich is one on which ze toppings are exactly symmetrical.
Lucinda has started the sandwich below and now must complete it. Pickles are at -5 and -2. Olives are at -4, -3, 0, and 4. Tomatoes are at 0 and 4.
Use the sandwich ruler to help Lucinda place the rest of the toppings correctly.
6.NS.C.6a
Recognize opposite signs of numbers as indicating locations on opposite sides of 0 on the number line; recognize that the opposite of the opposite of a number is the number itself, e.g., -(-3) = 3, and that 0 is its own opposite.
About this standard
Date PeriodName
MidSchoolMath The Sandwich Artist 1 of 2
Pickles should be placed at:
Olives should be placed at:
Tomatoes should be placed at:
APPLYING THE STANDARD
Graph and label the following points on the number line:a = -1, b = -a, c = 1.5, d = -c, e = 0, f = -e
The boat launch is located at 0, and the swimming area is 4 units away, as pictured on the number line below.• The picnic area is located 10 units away from the swimming area, in the direction of the boat launch. Label the picnic area as point P below.• The distance between the diner and the boat launch is the same as the distance between the picnic area and the boat launch, but in the opposite direction. Label the diner as point D on the number line.
1)
What is the opposite of a debit of $25?What number represents it?
3)
State the opposite of each number in the chart below.
8)
What is the opposite of the opposite of 22.2?
5)
Graph the opposites of the points plotted below and label them with the same letter.7)
What is the opposite of 12 feet above sea level? What number represents it?
4)
In the chart below, choose six numbers and state their opposites.
9)
What is the opposite of the opposite of -35 ?
6)
2)
MidSchoolMath 2 of 2
Date PeriodName
How might this standard appear on a test?
The Sandwich Artist
38
Check out my worked example #5
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