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Mathematics in Science

Mathematics in Science. Just when you thought you were safe!. AGENDA. Problem solving 101 Estimation BEDMAS, Scientific Notation, Calculators & formulas SI and units Attitudes & Issues. MATH ANXIETY. Haha! You have to teach MATH!. …you want me to teach WHAT !?!.

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Mathematics in Science

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  1. Mathematics in Science Just when you thought you were safe!

  2. AGENDA • Problem solving 101 • Estimation • BEDMAS, Scientific Notation, Calculators & formulas • SI and units • Attitudes & Issues

  3. MATH ANXIETY Haha! You have to teach MATH! …you want me to teach WHAT !?! Facts, formulas & fun... Learning about the world around us And human impact

  4. When solving word problems, students often have difficulties with what the question is asking, what formula and if their answer makes sense. Method 1: GRASP G Given (state the given numbers) R Required (state what is required to find) A Analysis (write down the equation and fill in) S Solution (state the solution to the calculation) P Paraphrase (write a sentence that answers the question) Check out this site for more acroynms http://www.nwlink.com/~donclark/hrd/acron.html Problem Solving 101

  5. Method 2: IDEAL I Identify the problem D Define and represent the problem E Explore possible strategies A Act on the strategies L Look back and evaluate the effects of your actions Check out this site for more acroynms http://www.nwlink.com/~donclark/hrd/acron.html

  6. Method 3: ADDIE A Analysis D Design D Development I Implement E Evaluate Check out this site for more acroynms http://www.nwlink.com/~donclark/hrd/acron.html

  7. Method 4: SQ3R S Survey the material to be learned Q develop Questions about the material R Read the material R Recall the key ideas R Review the material Check out this site for more acroynms http://www.nwlink.com/~donclark/hrd/acron.html

  8. Question: A 3V battery sends a current of 0.10A through a light bulb. What is the resistance of the filament of the bulb? Examples

  9. Question: A 3V battery sends a current of 0.10A through a light bulb. What is the resistance of the filament of the bulb? G: Voltage (V) = 3V Current (I) = 0.10A Examples

  10. Question: A 3V battery sends a current of 0.10A through a light bulb. What is the resistance of the filament of the bulb? G: Voltage (V) = 3V Current (I) = 0.10A R: Resistance (R) = ? Examples

  11. Question: A 3V battery sends a current of 0.10A through a light bulb. What is the resistance of the filament of the bulb? G: Voltage (V) = 3V Current (I) = 0.10A R: Resistance (R) = ? A: V = IR V = IR I I V = R I R = 3V 0.10A Examples

  12. Question: A 3V battery sends a current of 0.10A through a light bulb. What is the resistance of the filament of the bulb? G: Voltage (V) = 3V Current (I) = 0.10A S: R = 30 W R: Resistance (R) = ? A: V = IR V = IR I I V = R I R = 3V 0.10A Examples

  13. Question: A 3V battery sends a current of 0.10A through a light bulb. What is the resistance of the filament of the bulb? G: Voltage (V) = 3V Current (I) = 0.10A S: R = 30 W R: Resistance (R) = ? P: The resistance of the filament of the bulb is 30 W. A: V = IR V = IR I I V = R I R = 3V 0.10A Examples

  14. A B.Ed student after becoming frustrated with their expensive laptop noticed that when it flew out the window it dropped to the ground in 2.5s. If acceleration due to gravity is 9.8m/s2, what is the impact speed of the hunk of junk? Your turn…

  15. Reminding students to estimate their answers is important because it: Reinforces mental math skills Allows for a simple check of what the calculator is telling them Leads to the idea of uncertainty, precision and accuracy – ideas they will encounter in grades 11 and 12 science and mathematics courses Example: Estimate 5.3 x 4.8. Estimation

  16. Reminding students to estimate their answers is important because it: Reinforces mental math skills Allows for a simple check of what the calculator is telling them Leads to the idea of uncertainty, precision and accuracy – ideas they will encounter in grades 11 and 12 science and mathematics courses Example: Estimate 5.3 x 4.8. Think 5 x 5 = 25, 5 x 4 = 20 (too low) …so 25. Estimation

  17. Reminding students to estimate their answers is important because it: Reinforces mental math skills Allows for a simple check of what the calculator is telling them Leads to the idea of uncertainty, precision and accuracy – ideas they will encounter in grades 11 and 12 science and mathematics courses Example: Estimate 5.3 x 4.8. Think 5 x 5 = 25, 5 x 4 = 20 (too low) …so 25. Solution: 25.44 Estimation

  18. BEDMAS is the acronym for the Order of Operations. B Brackets E Exponents D Division M Multiplication A Addition S Subtraction Example: 7(3 + 4)2 = Possible solutions: a) 2401, c) 133 b) 625, d) 343 Order of Operations

  19. BEDMAS is the acronym for the Order of Operations. B Brackets E Exponents D Division M Multiplication A Addition S Subtraction Example: 7(3 + 4)2 = Possible solutions: 2401, 625, 133, 343 Answer: = 7(7) 2 = 7(49) = 343 Order of Operations

  20. When multiplying bases, add exponents When dividing bases, subtract exponents When raising an exponent to a power, multiply exponents. Examples: 25 x 23 = 25+3 = 28 49 ÷ 43 = 49-3 = 46 (57)3 = 521 Rules of Exponents

  21. Scientific Notation is a way to write very large numbers or very small numbers. Example: 567 = 5.67x102 N.B. The number in the front must be between 0-9. You will always need to write x10 or E to indicate that you are using scientific notation The exponent attached to the 10 will indicate how many places you have had to move the decimal (+2 means 2 to the left and if it were -3 then it would be 3 to the right) Scientific Notation

  22. Try some… Write the following in Scientific Notation: 7 890 000 000 0.87 43.5 0.000 000 02 2.3 Scientific Notation cont.

  23. Calculators In a Science classroom, calculator can be very useful. Often students forget their calculators and there are a range of different types available. Solution: • The school may already have a class set of non-scientific calculators which you may borrow for your students. • You may want to go to the dollar store and purchase calculators for your class. • Don’t panic if you don’t understand a student’s calculator. It always takes a few minutes to figure them out.

  24. Remembering formulas is always a difficult task for students. As the teacher you need to assess if the students need to memorize the formula or not. Solutions for combating formula issues: Have students create their own formula sheets Have a formula door where the formulas are posted for everyone to see and use Introduce formulas and then quiz on just the formula without numbers so that the students learn what each letter represents. Avoid using triangles – this only confuses students later in their education and causes huge problems in learning algebra Formulas

  25. Students will need to learn the metric system. Method 1: Kitchens have dangerous machines don’t chase me! k h da m d c m kilo hecto deca metre deci centi milli With the given quantity, place the one’s digit under the letter that corresponds to the unit given. Place zeros under all other units Place a slash mark to the right of the desired unit (this will represent the decimal What remains is the converted quantity SI – The Metric System

  26. Try some: 345 m =_____km 0.23 hm =_____cm 5 L =_____mL 29 N =_____daN Other considerations: When examining area and volume, how will the units and quantities change? SI cont.

  27. Planning & calculating Preparing for class takes time…. And calculation! Your students will learn many skills and attitudes from you! Math should be a Positive Experience 

  28. Today we have: Looked at different ways to problem solve Thought about estimation Remembered BEDMAS, Scientific Notation, calculator issues & formulas Talked about attitudes towards math and issues that we will have to face in our science classes. Summary for Today

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