Grade Level Indicator

Mathematics

1. Develop understanding of fractions as numbers
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2. Build fractions from unit fractions.
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3. Use equivalent fractions as a strategy to add and subtract fractions.
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4. Understand ratio concepts and use ratio reasoning to solve problems
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5. Analyze proportional relationships and use them to solve real-world and mathematical problems.
CCSS.MATH.CONTENT.7.RP.A.1
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Science Physics

Key Idea 4: Energy exists in many forms, and when these forms change energy is conserved.



4.1j Energy may be stored in electric or magnetic fields. This energy may be transferred through conductors or space and may be converted to other forms of energy. 
4.1k Moving electric charges produce magnetic fields. The relative motion between a conductor and a magnetic field may produce a potential difference in the conductor. 
4.1l All materials display a range of conductivity. At constant temperature, common metallic conductors obey Ohm’s Law. 
4.1m The factors affecting resistance in a conductor are length, cross-sectional area, temperature, and resistivity. 4.1n A circuit is a closed path in which a current can exist. (Note: Use conventional current.) 
4.1o Circuit components may be connected in series or in parallel. Schematic diagrams are used to represent circuits and circuit elements. 
4.1p Electrical power and energy can be determined for electric circuits.

Key Idea 5: Energy and matter interact through forces that result in changes in motion.

5.1n Centripetal force* is the net force which produces centripetal acceleration.* In uniform circular motion, the centripetal force is perpendicular to the tangential velocity.

Benchmarks

  • Recognize that real-world devices need mathematics. 
  • Understand gear's movements in terms of mathematical concepts such as ratio, fractions, and proportions
  • To have a basic working knowledge of a circuits and motors, how to convert electric energy into kinetic mechanical energy, and how to build circuits.
  • To introduce general knowledge regarding the notion of tempo in music
  • Gain skills including: laser cutting, soldering, arduino.  

Enduring

  • Representation of fractions, percentage and decimals at the same time as the part and the whole.
  • Electrical circuits provide a means of transferring electrical energy  
  • Without touching them, material that has been electrically charged attracts uncharged material, and may either attract or repel other charged material. This is how a motor works

Essential Questions

  1. How does a motor works?
  2. What are the difference between steppers, motors, and servos?
  3. How can gear's movement be expressed in fraction terms?
  4. What are some examples of technology using mathematics?

Common Misconceptions

  1. Mesh gears move at a different speed depending their size 
  2. Music is composed mainly by melody
  3. Different size gears transfer the same amount of motion

Evidence

Performance Tasks

How many revolutions would the right gear turn if the left gear turns three revolution?  
They are provided with visual reasoning in the form of tangible gears kit, and imagery simulation with a software simulator that creates gears and simulates their movement. 
  • How can we predict the movement of a system of more than 4 gears in terms of fractions?
  • Generate a tempo 3/4 with the use of 5 gears

Students Will Know

  1. How to represent mathematically gears movements
  2. How to increase the speed by revolution in a system of gears
  3. Basic information of how a motor works
  4. Comment measure current and voltage in a circuit 
  5. use measurements to determine the resistance of a circuit element 
  6. interpret graphs of voltage versus current measure and compare the resistance of conductors of various lengths and cross-sectional areas 
  7. construct simple series and parallel circuits 
  8. draw and interpret circuit diagrams which include voltmeters and ammeters 
  9. predict the behavior of lightbulbs in series and parallel circuits 
  10. map the magnetic field of a permanent magnet, indicating the direction of the field between the N (north-seeking) and S (south-seeking) poles

Students will Be Able To

  1. Create a basic circuit with a LED, stepper, photo-resistor, arduino, and solder their components
  2. Create rhythm with mechanical input

Lesson Plan

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