MidSchoolMath 1 The most common real-life applications of the Cartesian coordinate system are creating simple graphs to depict information and pinpointing specific locations on a map. In The Waterfall Hunter, Daniella Scott has a passion for waterfalls. She is drawn to their mystery and beauty and is always searching for new ones, especially those not already on a map. Daniella is in a new area searching for falls, hoping to map them. She decides the best way to find the local waterfalls is to talk to the townspeople. The data provided are a map, in the form of a one-quadrant coordinate grid, and a page in Daniella’s notebook containing notes she’s taken from the local people. LESSON: THE WATERFALL HUNTER Where are the waterfalls? The Waterfall Hunter 5.G.A.2 Geometry Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation. The Math Simulator TM Immersion Play The Waterfall Hunter Immersion video, whole-class. Restate the question: Where are the waterfalls? Facilitate classroom discussion; ask students: "What do we need to know?" • • • 1 2 Data & Computation Print the Data Artifact, cut into halves, 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. • • • • Download the Detailed Lesson Plan Available on the Teacher Dashboard 3 Resolution Play The Waterfall Hunter Resolution video, whole-class. Prepare and give brief lecture (Teacher Instruction). • • + Simulation Trainer Assign 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. • • • • (Use student headphones.)
Transcript
MidSchoolMath 1
The most common real-life applications of the Cartesian coordinate system are creating simple graphs to depict information and pinpointing specific locations on a map. In The Waterfall Hunter, Daniella Scott has a passion for waterfalls. She is drawn to their mystery and beauty and is always searching for new ones, especially those not already on a map. Daniella is in a new area searching for falls, hoping to map them. She decides the best way to find the local waterfalls is to talk to the townspeople. The data provided are a map, in the form of a one-quadrant coordinate grid, and a page in Daniella’s notebook containing notes she’s taken from the local people.
LESSON: THE WATERFALL HUNTERWhere are the waterfalls?
The Waterfall Hunter
5.G.A.2Geometry
Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation.
The Math SimulatorTM
ImmersionPlay The Waterfall Hunter Immersion video, whole-class. Restate the question: Where are the waterfalls?Facilitate classroom discussion; ask students: "What do we need to know?"
•
••
1
2 Data & ComputationPrint the Data Artifact, cut into halves, 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.
•
•
•
•
Download the Detailed Lesson PlanAvailable on the Teacher Dashboard
3 ResolutionPlay The Waterfall Hunter Resolution video, whole-class. Prepare and give brief lecture (Teacher Instruction).
••
+ 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.
•
•
••
(Use student headphones.)
MidSchoolMath 2The Waterfall Hunter
Clicker QuizLaunch the Clicker Quiz, whole-class.
5.G.A.2Geometry
Gladys: To accurately interpret coordinate points in context, it is crucial for students to connect the x-coordinate to the variable defined (time, number, etc.) on the x-axis. The same holds true for the y-coordinate and the y-axis.
Kevin: Give students opportunities to also use the coordinate plane as a geometric tool that can aid in drawing figures precisely and mea-suring their dimensions.
Megan: Having the ability to confidently navi-gate the xy-plane will be beneficial for students as they move into linear equations, functions and coordinate plane geometry.
KevinSimpson
GladysGraham
MeganLeBleu
Ex. Clicker Quiz #2Standard Math Procedures
Instruction at a Glance
1 Identify the variables defined on the x-axis and the y-axis.
x-axis Number of Slices
y-axis Total Cost
(x, y) (Number of Slices, Total Cost)
4 slices of pizza cost $6.
2
2
Match the x-coordinate with the x-axis variable and the y-coordinate with the y-axis variable.
Interpret the coordinate pair (4, 6).
5.G
Sta
ndar
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Les
sons
5.G
Ass
essm
ents
5.G
Dom
ain
Revi
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THE WATERFALL HUNTERWhere are the waterfalls?Daniella Scott loves searching for new waterfalls and documenting their location on her maps. She has found that the best way to discover new falls is to talk to people in the towns nearest them.
Daniella is in the town of Norbury and has asked around about any falls nearby. She has taken some notes based on what the locals have told her.
Help Daniella place the local waterfalls on the map.
5.G.A.2
Represent real world and mathematical problems by graphing points in the fi rst quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation.
About this standard
Date PeriodName
MidSchoolMath The Waterfall Hunter 1 of 2
APPLYING THE STANDARD
Shown are points A and B, of Rectangle ABCD. Plot points C and D, so that the rectangle has a perimeter of 20 units.
Write the coordinates of each point:
A ________ B ________ C ________ D ________
Last year, Farmer Trina put a rectangular fence around her garden. This year, she plans on increasing the size of her garden, so she’ll need more fencing. She wants the new width to be twice as wide as the original width (AD) and wants the new length to be six units longer than the original length (AB). Point A will remain where it is.
1)
2)
MidSchoolMath The Waterfall Hunter 2 of 2
Date PeriodName
How might this standard appear on a test?
On the graph, plot the Age and Height data for a male giraff e.
What does the point (0, 6) mean for a male giraff e?
At what age does a male giraff e reach its full height?How do you know from this graph?
Draw the new fence.
Write the coordinates for the corners of the new fence:
