Sr High Math

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Sr High Math by Mind Map: Sr High Math

1. 10-3

1.1. Measurment

1.1.1. 1. Demonstrate an understanding of the Système International (SI) by: • describing the relationships of the units for length, area, volume, capacity, mass and temperature • applying strategies to convert SI units to imperial units. [C, CN, ME, V]

1.1.1.1. What are the SI units for length/area

1.1.1.2. What are the SI unit for volume/capacity

1.1.1.3. What are the SI units for mass

1.1.1.4. What are the SI units for Temp

1.1.1.5. How do each of these units relate to each other?

1.1.1.6. How do you convert SI to Imperial?

1.1.2. 2. Demonstrate an understanding of the imperial system by: • describing the relationships of the units for length, area, volume, capacity, mass and temperature • comparing the American and British imperial units for capacity • applying strategies to convert imperial units to SI units. [C,CN, ME, V]

1.1.2.1. What are the different Imperial units we use today in length/area?

1.1.2.2. What are the different Imperial units we use today in volume/capacity?

1.1.2.3. What are the different Imperial units we use today in mass?

1.1.2.4. What are the different Imperial units we use today in Temperature?

1.1.3. 3. Solve and verify problems that involve SI and imperial linear measurements, including decimal and fractional measurements. [CN, ME, PS, V]

1.1.3.1. http://www.helpingwithmath.com/by_subject/word_problems/wor_measurement01_4md2.htm

1.1.3.2. http://www.dadsworksheets.com/v1/Worksheets/Metric%20SI%20Unit%20Conversions.html

1.1.3.3. http://www.dadsworksheets.com/v1/Worksheets/Imperial%20Unit%20Conversions.html

1.1.3.4. http://www.scribd.com/doc/214472092/Unit-7-Theory-and-Word-Problems-Metric-and-Imperial-systems#scribd

1.1.4. 4. Solve problems that involve SI and imperial area measurements of regular, composite and irregular 2-D shapes and 3-D objects, including decimal and fractional measurements, and verify the solutions. [ME, PS, R, V]

1.1.4.1. What is a regular 2D and 3D shape

1.1.4.2. What is a Composite 2D and 3D shape

1.1.4.3. what is an irregular 2D and 3D shape

1.1.4.4. How do we provide our answers in decimal and fraction form?

2. 10-4

2.1. Measurement

2.1.1. 12. estimate and measure temperature and calculate changes in temperature [ME, PS]

2.1.1.1. Where are places that temperature is important

2.1.1.2. What temperatures do you expect these places to be at (under what conditions/circumstances/time)

2.1.2. 11. estimate and apply a variety of arithmetic operations, using hours and minutes, in everyday applications [C, ME, PS, T]

2.1.2.1. How do you convert hours to minutes

2.1.2.2. minutes to hours

2.1.3. 10. estimate and calculate the area of a circle to solve problems in everyday contexts [ME,PS]

2.1.3.1. How do you calculate the area of a circle?

2.1.3.2. how do you estimate the area of a circle?

2.1.3.3. What everyday problems can you come up with involving area of circles

2.1.4. 9. calculate the unknown when given the circumference, diameter and/or radii of a circle to solve everyday problems [PS,T]

2.1.4.1. What are the parts of a circle

2.1.4.2. how do you determine a circumfrence

2.1.4.3. how do you determine a radius

2.1.4.4. how do you determine a diameter

2.1.4.5. What are some examples of everyday problems involving circle math

2.1.5. 8. estimate, measure and calculate the area of a circle [ME,PS]

2.1.5.1. How do you calculate the area of a circle

2.1.5.2. how do you estimate the area of a circle

2.1.5.3. Where can we find everyday circles to measure

2.1.6. 7. measure and draw angles using a straight edge, protractor and other technology [CR]

2.1.6.1. What is a straight edge

2.1.6.2. What is a protractor

2.1.6.3. what is technology

2.1.6.4. what other forms of tech can help draw an angle

2.1.7. 6. estimate the measurements of angles in a diagram and in various environments [ME]

2.1.7.1. What methods can you use to estimate an angle

2.1.8. 5. use conversion charts, calculators and/or other tools to compare and convert common metric (SI) and Imperial units of measure, as required in everyday contexts [CN,,R, T]

2.1.8.1. What conversion charts are available

2.1.8.2. What conversion tools and technology are available

2.1.9. 4. solve problems involving perimeter, area, mass (weight) and volume (capacity) [c,ps,r,t]

2.1.9.1. How do you calculate parimeter

2.1.9.2. how do you calculate area

2.1.9.3. how do you calculate volume

2.1.10. 3. compare, convert and apply metric (SI) and Imperial units of measure, as appropriate in everyday contexts (CRT)

2.1.10.1. How do you convert imperial to metric

2.1.10.1.1. distance

2.1.10.1.2. weight

2.1.10.2. How do you convert metric to Impirial

2.1.10.2.1. Distance

2.1.10.2.2. Weight

2.1.11. 2. measure within acceptable degrees of accuracy (C,R)

2.1.11.1. What is meant by an acceptable degree of accuracy?

2.1.12. 1. select and use appropriate metric (SI) and Imperial measuring devices and units to take measurements in home and work-related contexts, including: O length O mass (weight) O volume (capacity) (C, PS, R, T)

2.1.12.1. What measuring devices can you use for SI measurements?

2.1.12.1.1. length

2.1.12.1.2. volume

2.1.12.1.3. mass

2.1.12.2. What measuring devices can you use for Imperial measurements?

2.1.12.2.1. Length

2.1.12.2.2. volume

2.1.12.2.3. mass

2.1.12.3. What are common items that can be measured at home for length, volume and mass

2.1.12.3.1. Length

2.1.12.3.2. volume

2.1.12.3.3. mass

2.1.12.4. What are some common items that can be measured in a work place for length, volume and mass

2.1.12.4.1. Length

2.1.12.4.2. volume

2.1.12.4.3. mass

3. General Input

3.1. dist, time, weight, Conversion chart

3.1.1. 1

3.2. temperature conversion

3.2.1. 2

3.3. 3D surface area

3.3.1. 3

3.4. 2D surface area

3.4.1. 4

3.5. Non destructive testing units

3.5.1. https://www.nde-ed.org/GeneralResources/Units/MetricSystem.htm

4. 30-1

4.1. Meassurement

4.1.1. 1. Demonstrate an understanding of the limitations of measuring instruments, including: •precision •accuracy •uncertainty •tolerance and solve problems. [C, PS, R, T, V]

4.1.1.1. What is precision

4.1.1.1.1. In what are situations is could this be important

4.1.1.1.2. What are some examples of precision problems

4.1.1.2. What is accuracy

4.1.1.2.1. In what situations could this be important

4.1.1.2.2. What are some examples of accuracy problems

4.1.1.3. What is uncertanty

4.1.1.3.1. in what situations could this be important

4.1.1.3.2. What are some examples of uncertainty problems

4.1.1.4. what is tolerance

4.1.1.4.1. in what situations could this be important

4.1.1.4.2. What are some examples of tolerance problems

4.1.1.5. What is the difference between tolerance, uncertainty, accuracy and precision?

4.1.1.6. What technology is/can be used in these areas?

5. 20-3

5.1. Measurment

5.1.1. 2. Solve problems that involve SI and imperial units in volume and capacity measurements. [C, CN, ME, PS, V]

5.1.1.1. How do you calculate volume in SI (metric)

5.1.1.2. How do you calculate volume in Imperial

5.1.2. 1. Solve problems that involve SI and imperial units in surface area measurements and verify the solutions. [C, CN, ME, PS, V]

5.1.2.1. How you you calculate surface area in SI

5.1.2.2. how do you calculate surface area in Imperial

5.1.2.3. How do you verify solutions

6. 20-2

6.1. Measurement

6.1.1. 3. Demonstrate an understanding of the relationships among scale factors, areas, surface areas and volumes of similar 2-D shapes and 3-D objects. [C, CN, PS, R, V]

6.1.1.1. What is meant by " Scale factos"

6.1.1.2. what is the difference between area and surface area

6.1.1.2.1. how do these change when you change a scale

6.1.1.3. How do you calculate volume

6.1.1.3.1. how does this change when you change a scale

6.1.1.4. How can you have a similar 2D and 3d shape

6.1.2. 2. Solve problems that involve scale diagrams, using proportional reasoning.[CN, PS, R, V]

6.1.2.1. What is a scale diagram

6.1.2.2. How do you create a scale diagram

6.1.2.3. what are some examples of scale diagram problems

6.1.3. 1. Solve problems that involve the application of rates. [CN, PS, R]

6.1.3.1. What is rate

6.1.3.2. how do you calculate rate

6.1.3.3. where are common places that rate applies?

6.1.3.4. What are some examples of rate problems