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KATARIN MACLEOD Katarin MacLeod NUMERACY TECHNOLOGYTECHNOLOGY LITERACY SERVICE APPLICATION Mathematics in Science Just when you thought you were safe!

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KATARIN MACLEOD Katarin MacLeod NUMERACY TECHNOLOGYTECHNOLOGY LITERACY SERVICE APPLICATION AGENDA ∞Problem solving 101 ∞Estimation ∞BEDMAS, Scientific Notation, Calculators & formulas ∞SI and units ∞Attitudes & Issues

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KATARIN MACLEOD Katarin MacLeod NUMERACY TECHNOLOGYTECHNOLOGY LITERACY SERVICE APPLICATION MATH ANXIETY …you want me to teach WHAT !?! WHAT !?! Facts, formulas & fun... Learning about the world around us And human impact Haha! You have to teach MATH!

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KATARIN MACLEOD Katarin MacLeod NUMERACY TECHNOLOGYTECHNOLOGY LITERACY SERVICE APPLICATION Problem Solving 101 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 GGiven (state the given numbers) RRequired (state what is required to find) AAnalysis (write down the equation and fill in) SSolution (state the solution to the calculation) PParaphrase (write a sentence that answers the question) Check out this site for more acroynms http://www.nwlink.com/~donclark/hrd/acron.html

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KATARIN MACLEOD Katarin MacLeod NUMERACY TECHNOLOGYTECHNOLOGY LITERACY SERVICE APPLICATION Method 2: IDEAL IIdentify the problem DDefine and represent the problem EExplore possible strategies AAct on the strategies LLook back and evaluate the effects of your actions Check out this site for more acroynms http://www.nwlink.com/~donclark/hrd/acron.html

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KATARIN MACLEOD Katarin MacLeod NUMERACY TECHNOLOGYTECHNOLOGY LITERACY SERVICE APPLICATION Method 3: ADDIE AAnalysis DDesign DDevelopment IImplement EEvaluate Check out this site for more acroynms http://www.nwlink.com/~donclark/hrd/acron.html

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KATARIN MACLEOD Katarin MacLeod NUMERACY TECHNOLOGYTECHNOLOGY LITERACY SERVICE APPLICATION Method 4: SQ3R SSurvey the material to be learned Qdevelop Questions about the material RRead the material RRecall the key ideas RReview the material Check out this site for more acroynms http://www.nwlink.com/~donclark/hrd/acron.html

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KATARIN MACLEOD Katarin MacLeod NUMERACY TECHNOLOGYTECHNOLOGY LITERACY SERVICE APPLICATION Examples Question: A 3V battery sends a current of 0.10A through a light bulb. What is the resistance of the filament of the bulb?

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KATARIN MACLEOD Katarin MacLeod NUMERACY TECHNOLOGYTECHNOLOGY LITERACY SERVICE APPLICATION Examples 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

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KATARIN MACLEOD Katarin MacLeod NUMERACY TECHNOLOGYTECHNOLOGY LITERACY SERVICE APPLICATION Examples 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) = ?

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KATARIN MACLEOD Katarin MacLeod NUMERACY TECHNOLOGYTECHNOLOGY LITERACY SERVICE APPLICATION 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

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KATARIN MACLEOD Katarin MacLeod NUMERACY TECHNOLOGYTECHNOLOGY LITERACY SERVICE APPLICATION Examples 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) = 0.10AS: R = 30 R:Resistance (R) = ? A:V = IR V = IR I I V = R I R = 3V 0.10A

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KATARIN MACLEOD Katarin MacLeod NUMERACY TECHNOLOGYTECHNOLOGY LITERACY SERVICE APPLICATION Examples 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) = 0.10AS: R = 30 R:Resistance (R) = ?P: The resistance of the filament of the bulb is 30 . A:V = IR V = IR I I V = R I R = 3V 0.10A

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KATARIN MACLEOD Katarin MacLeod NUMERACY TECHNOLOGYTECHNOLOGY LITERACY SERVICE APPLICATION Your turn… 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/s 2, what is the impact speed of the hunk of junk?

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KATARIN MACLEOD Katarin MacLeod NUMERACY TECHNOLOGYTECHNOLOGY LITERACY SERVICE APPLICATION Estimation Reminding students to estimate their answers is important because it: 1.Reinforces mental math skills 2.Allows for a simple check of what the calculator is telling them 3.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.

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KATARIN MACLEOD Katarin MacLeod NUMERACY TECHNOLOGYTECHNOLOGY LITERACY SERVICE APPLICATION Estimation Reminding students to estimate their answers is important because it: 1.Reinforces mental math skills 2.Allows for a simple check of what the calculator is telling them 3.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.

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KATARIN MACLEOD Katarin MacLeod NUMERACY TECHNOLOGYTECHNOLOGY LITERACY SERVICE APPLICATION Estimation Reminding students to estimate their answers is important because it: 1.Reinforces mental math skills 2.Allows for a simple check of what the calculator is telling them 3.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

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KATARIN MACLEOD Katarin MacLeod NUMERACY TECHNOLOGYTECHNOLOGY LITERACY SERVICE APPLICATION Order of Operations 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

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KATARIN MACLEOD Katarin MacLeod NUMERACY TECHNOLOGYTECHNOLOGY LITERACY SERVICE APPLICATION Order of Operations 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

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KATARIN MACLEOD Katarin MacLeod NUMERACY TECHNOLOGYTECHNOLOGY LITERACY SERVICE APPLICATION Rules of Exponents When multiplying bases, add exponents When dividing bases, subtract exponents When raising an exponent to a power, multiply exponents. Examples: a)2 5 x 2 3 = 2 5+3 = 2 8 b)4 9 ÷ 4 3 = 4 9-3 = 4 6 c)(5 7 ) 3 = 5 21

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KATARIN MACLEOD Katarin MacLeod NUMERACY TECHNOLOGYTECHNOLOGY LITERACY SERVICE APPLICATION Scientific Notation Scientific Notation is a way to write very large numbers or very small numbers. Example: 567 = 5.67x10 2 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)

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KATARIN MACLEOD Katarin MacLeod NUMERACY TECHNOLOGYTECHNOLOGY LITERACY SERVICE APPLICATION Scientific Notation cont. Try some… Write the following in Scientific Notation: 1.7 890 000 000 2.0.87 3.43.5 4.0.000 000 02 5.2.3

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KATARIN MACLEOD Katarin MacLeod NUMERACY TECHNOLOGYTECHNOLOGY LITERACY SERVICE APPLICATION 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.

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KATARIN MACLEOD Katarin MacLeod NUMERACY TECHNOLOGYTECHNOLOGY LITERACY SERVICE APPLICATION Formulas 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

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KATARIN MACLEOD Katarin MacLeod NUMERACY TECHNOLOGYTECHNOLOGY LITERACY SERVICE APPLICATION SI – The Metric System Students will need to learn the metric system. Method 1: Kitchens have dangerous machines don’t chase me! k hda mdcm kilo hectodeca metredecicentimilli 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

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KATARIN MACLEOD Katarin MacLeod NUMERACY TECHNOLOGYTECHNOLOGY LITERACY SERVICE APPLICATION SI cont. 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?

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KATARIN MACLEOD Katarin MacLeod NUMERACY TECHNOLOGYTECHNOLOGY LITERACY SERVICE APPLICATION Planning & calculating Preparing for class takes time…. Your students will learn many skills and attitudes from you! Math should be a Positive Experience And calculation!

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KATARIN MACLEOD Katarin MacLeod NUMERACY TECHNOLOGYTECHNOLOGY LITERACY SERVICE APPLICATION Summary for Today 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.

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