Interactive Video Script Template Lesson Objective Course Semester Unit Lesson Math 8 A 2 7 Students will express very large numbers using scientific notation. CLIP A (Introduction) Visual Audio <Text appears digit by digit> 2,349,000,000,000,000,000,000,000,000,0 00,000,000,000,000,000,000 Here is a number. A very, very big number. <Previous screen remains. Below previous, the following text is added> ÷ 643,000 <All fade out> Please divide this number by six hundred forty three thousand. <Image> Ready? Go! http://pixabay.com/en/olympics-2004athens-greece-10-84221/ <Image> Okay, we're kidding. Let's face it http://pixabay.com/en/shadow-shadow1|Page play-man-person-536/ <Image> performing this operation would take a very long time. http://www.morguefile.com/archive/display/ 729215 <Image> However, you are about to see that there is another way. http://www.morguefile.com/archive/display/ 934874 <Image> A much easier way. http://pixabay.com/en/children-childchildren-portrait-110963/ <Image appears. Text fades in one number at a time until all 3 numbers appear> You see, huge numbers are all around us. 5,430,230,394,124 789,239,123,234,324 45,239,120,340 http://pixabay.com/en/tree-branch-mazestrong-big-huge-338432/ <Image appears. Text overlay fades in They’re in computers and the quantities of 2|Page after image> data they process, 5,430,230,394,124 http://www.morguefile.com/archive/display/ 10837 <Image appears. Text overlay fades in after image > In our world population, 789,239,123,234,324 http://pixabay.com/en/skyscraper-homescity-america-450793/ <Image appears. Text overlay fades in after image > and even when discussing gigantic objects in space! 45,239,120,340 http://commons.wikimedia.org/wiki/File:A_N ew_View_of_the_Tarantula_Nebula.jpg <Image> Mathematicians and scientists have united to create a new way of writing numbers. http://commons.wikimedia.org/wiki/File:Tec 3|Page hnician_performing_drug_synthesis.jpg <Text appears as each word is spoken> Scientific Notation They call it scientific notation. <Image> And, you guessed it; it involves powers! http://pixabay.com/en/lightning-strike-nightstorm-bolt-583713/ <Text appears> 2,349,000,000,000,000,000,000,000,000,0 00,000,000,000,000,000,000 <Text slides out bottom> Scientific notation turns this insane number <Text slides in from top> 2.349 × 1048 Into this. <Text appears> 2,349,000,000,000,000,000,000,000,000,0 00,000,000,000,000,000,000 ÷ 643,000 <Text slides out bottom> And this outrageous operation <Text slides in from top> (2.349 × 1048 ) ÷ (6.43 × 105 ) into a simple division with powers of the same base. <Previous text changes to white font color and remains on screen. Zooms out as image fades in. See reference below> Scientific notation is truly out of this world. 4|Page (2.349 × 1048 ) ÷ (6.43 × 105 ) http://commons.wikimedia.org/wiki/File:Gal axies_in_Hiding_(Unannotated).jpg Question A Stem: Which of the following numbers is written in scientific notation? Answer Choices: A. 540,670,000 B. 300,000,000 + 240,670,000 C. 540,670,000.00000 D. 5.4067 × 108 Correct Response (D) (Video progresses to clip B) Incorrect Response (other responses) (Video progresses to clip E) 5|Page CLIP B (DOK1) Visual <Image> Audio Before we proceed, let's learn some critical vocabulary. http://www.morguefile.com/archive/display /141416 <Completely new screen. Text appears as follows top-center screen> Scientific Notation First, when we say scientific notation, <Previous screen remains. Text appears as follows below previous> 5.47 × 106 we mean numbers written like this. <Previous screen remains. Text color of 5.47 changes to red. Additionally, a red arrow appears from 5.47and points to new text as follows> 5.47 × 106 They have two parts to them: a coefficient, which is a number between 1 and 10 written in front, 1 < Coefficient < 10 <Previous screen remains, but the 1 < Coefficient < 10 text and arrow disappear. Red color font also removed from 5.47. Now, text color of 106 changes to blue, and a blue arrow appears from 106 and points to new text as follows> and a power of ten. 5.47 × 106 Power of ten <All fade out> <Completely new screen. Text appears as follows> 5,470,000 Now, this is another way we could write this same number. This looks more familiar, doesn't it? 6|Page <Previous screen remains. Font color of 5,470,000 changes to green. New title appears where "Scientific Notation" was previously. Text as follows> We call this standard notation. Standard Notation 𝟓, 𝟒𝟕𝟎, 𝟎𝟎𝟎 <All fade out> Question B Stem: Please select the two words to correctly fill in the blanks. In the number 6.54 × 109 , 6.54 is called the (1)____________. 6,540,000,000 is the way to write the number in (2)___________________. Answer Choices: A. (1) coefficient; (2) scientific notation B. (1) coefficient; (2) standard notation C. (1) scientific notation; (2) standard notation D. (1) standard notation; (2) coefficient Correct Response (B) (Video progresses to clip C) Incorrect Response (other responses) (Video progresses to clip F) 7|Page CLIP C (Increased DOK2) Visual <Text appears as follows> 1.91 × 108 Audio While the coefficient tells us about the finer details of the number, Coefficient <Remove red font color and red arrow. Add blue arrow, text, and font color as follows> 1.91 × 108 the power of ten Power of ten <Previous screen remains. Text appears as follows below "Power of ten"> (Order of magnitude) determines the order of magnitude, <Previous screen remains, but 108 grows larger and larger> meaning how large the number is! <All fade out> <Completely new screen. Text appears overlaid on the image as follows> For instance, just looking at the 4.5 × 105 meters http://www.morguefile.com/archive/display /163466 <Previous screen remains. 105 font color turns blue.> power of ten tells us that the Grand Canyon is <Previous screen remains. New line of text appears below previous text as follows> 4.5 × 𝟏𝟎𝟎, 𝟎𝟎𝟎 meters <All fade out> hundreds of thousands of meters long! 8|Page <Completely new screen. Table appears as follows> Power of ten Expanded Form Let's study powers of ten. Value 101 102 103 104 105 <Previous screen remains. All text of "10" turns blue in color> The base is ten. <Previous screen remains, but blue font color of 10 is removed. Now, exponents turn red and text appears in Expanded Form column as follows> The exponent tells us how many times to repeat the factor. Power of ten 101 102 103 104 105 Expanded Form Value = (10) = (10)(10) = (10)(10)(10) = (10)(10)(10)(10) = (10)(10)(10)(10)(10) <Previous screen remains, but red font color is removed. Text appears in Value column as follows> Power of ten 101 102 103 104 105 Expanded Form = (10) = (10)(10) = (10)(10)(10) = (10)(10)(10)(10) = (10)(10)(10)(10)(10) Finally, we evaluate. Notice a pattern? Value = 10 = 100 = 1000 = 10000 = 100000 <Previous screen remains, but red font The exponent reflects the number of zeros color returns to exponents and now is also after one in each evaluation. added to any "0" in the value column. See reference below> Power of ten 101 102 103 104 105 Expanded Form = (10) = (10)(10) = (10)(10)(10) = (10)(10)(10)(10) = (10)(10)(10)(10)(10) Value = 10 = 100 = 1000 = 10000 = 100000 <All fade out> 9|Page Question C Stem: Which of the following numbers represents a correct evaluation of 105 ? Answer Choices: A. 50 B. 10,000 C. 100,000 D. 111,110 Correct Response (C) (Video progresses to clip D) Incorrect Response (other responses) (Video progresses to clip G) 10 | P a g e CLIP D (Increased DOK3) Visual <Image> Audio Let's shine some light on the mystery of http://www.morguefile.com/archive/display/877713 <Previous screen remains. Text appears as follows in the flashlight beam of the image> scientific notation. It's not as complicated as you might think! Scientific Notation <All fade out> <Completely new screen. Text appears as follows top-center> 3,000,000 Let's begin by saying this number aloud: <Previous screen remains. Text appears as follows below previous> Three million Three million, right? <Previous screen remains, but numbers and "Million" text fly out to the left> This means that there are three millions collected together, <Following text flies in from the right> 3 × 1,000,000 like multiplying three by one million! <Previous screen remains. Text appears in a line below previous as follows> 3 × 10? Wait: can't one million be written as a power of ten? <Previous screen remains, but the following text changes color to red> 3 × 1,000,000 We count 6 zeros, <Previous screen remains, but exponent which means ten to the sixth power. 11 | P a g e replaces ? in red as follows> 3 × 106 <Previous screen remains, but a blue bordered transparent circle appears around 3 × 106> Congratulations! This is scientific notation. <All fade out> Question D Stem: Which of the following correctly shows how one may write 4,000 (or four thousand) in scientific notation? Answer Choices: A. 4000 = 4000 × 1 B. 4000 = 2000 + 2000 C. 4000 = 4 × 100 = 4 × 102 D. 4000 = 4 × 1000 = 4 × 103 Correct Response (D) (Video progresses to Success Alert) Incorrect Response (other responses) (Video progresses to clip H) 12 | P a g e CLIP E (Remedial 1) Visual <Image> Audio Scientific notation is where our understandings of powers and the real world collide! http://pixabay.com/en/space-universeouter-space-planet-92348/ <All fade out> <Text appears as follows> 23,634,000,000,000,000 When an extremely large number <Previous screen remains. Text appears below previous as follows> = 2.3634 × 1016 is written in scientific notation, it's representing the same value, <Both numbers fades out, but = sign remains> <Previous screen remains with just =. The following text above => Laughing out loud but in a much <Previous screen remains. The following text below => LOL <All fade out> shorter way. 13 | P a g e <Image> Even your calculator uses scientific notation! http://www.morguefile.com/archive/display /102119 <All fade out> <Image> When calculators return extremely large results, Screen shot <All fade out> <Image> they come back looking Screen shot 14 | P a g e <Previous screen remains. The following text covers over and replaces 1.17e+33 in the image> = 1.17 × 1033 <All fade out> something like this. Question E Stem: Scientific notation is... Answer Choices: A. A longer way of writing large numbers. B. A shorter way of writing numbers by adding them repeatedly. C. A shorter way of writing numbers that involve powers. D. A special type of handwriting that scientists use. Correct Response (C) (Video progresses to clip B) Incorrect Response (other responses) (Video progresses to clip F) 15 | P a g e CLIP F (Remedial 2) Visual <Image> Audio Let's master the vocabulary we need to complete the objective. http://pixabay.com/en/scrabble-gameboard-game-words-243192/ <All fade out> <Completely new screen. Text appears as follows in the left part of the screen> Scientific Notation Scientific notation refers to our new way to write very large numbers, 8.234 × 109 <Previous screen remains. Image appears in the right part of screen> used regularly in science! http://pixabay.com/en/biology-researchlaboratory-220005/ <Image fades out> <Previous screen with number remains. Text color of 8.234 changes to red. Text appears directly below the number as follows> (Coefficient) <Image also appears in the right part of The coefficient is connected with 16 | P a g e the screen> http://www.morguefile.com/archive/display /857775 <Previous screen remains. Text color of 109 changes to blue. Text appears to the right of (Coefficient) as follows> ×(Power of ten) the power of ten in this multiplication. <Previous screen remains, but image of plugs in outlet is replaced with the following> They go together to explain the number. Scientific notation will always have these two pieces. http://pixabay.com/en/connect-connectioncooperation-20333/ <All fade out> < New text appears> 8,234,000,000 Now we're very familiar <Previous screen remains. Image appears in the right part of the screen> with seeing numbers this way, meaning 17 | P a g e http://pixabay.com/en/book-bored-collegeeducation-15584/ <Previous screen remains. Text appears where "Scientific Notation" was previously written> Standard Notation standard notation. <All fade out> Question F Stem: Which of the following is a correct explanation of standard notation? Answer Choices: A. Standard notation is the new way for writing numbers. It looks like this: 4.9 × 102. B. Standard notation is the number multiplied by a power of ten in scientific notation. It looks like this: 4.9. C. Standard notation is the way we are used to seeing numbers written. It looks like this: 4,900. D. Standard notation is when we indicate positive or negative numbers with a symbol in front of the number. It looks like this: +4.9, -4.9. Correct Response (C) (Video progresses to clip C) Incorrect Response (other responses) (Video progresses to Intervention Alert, bringing students back to clip B) 18 | P a g e CLIP G (Remedial 3) Visual <Image> Audio You're on the path to success with scientific notation! http://pixabay.com/en/bowling-pins-ballplaying-alley-596766/ <Image> Memorizing how to evaluate powers of ten will help you get there! http://commons.wikimedia.org/wiki/File:Bo wlingball.JPG <All fade out> <Completely new screen. Text appears as follows> 101 102 103 104 105 Remember, powers are repeated multiplications. <Previous screen remains. 102 turns bold and green> Take ten squared. <Previous screen remains. In the two cells to the right of 102 , the following text appears> = 10 ∙ 10 = 100 Ten times ten is one hundred. 19 | P a g e <Previous screen remains, but green color It turns out that a very cool pattern forms accents and bolding is removed. The in our results. table is filled in as follows> = 10 = 10 101 = 10 ∙ 10 = 100 102 = 10 ∙ 10 ∙ 10 = 1000 103 = 10 ∙ 10 ∙ 10 ∙ 10 = 10000 104 = 10 ∙ 10 ∙ 10 ∙ 10 ∙ 10 = 100000 105 <Previous screen remains. Exponent color changes to red as follows in first column> 101 An exponent of one <Previous screen remains. Text color changes to red as follows in third column> = 10 means one zero, <Previous screen remains. Text color changes to red as follows in first column> 102 two means <Previous screen remains. Text color changes to red as follows in third column> = 100 two zeros, <Previous screen remains. Text color changes to red as follows in the third row> = 10 ∙ 10 ∙ 10 = 1000 103 three means three zeros, <Previous screen remains. Text color and so on. changes to red as follows in the fourth and fifth columns> = 10 ∙ 10 ∙ 10 ∙ 10 = 10000 104 5 = 10 ∙ 10 ∙ 10 ∙ 10 ∙ 10 = 100000 10 <All fade out> 20 | P a g e <Image appears. Text is overlaid as follows.> Be careful! This only works when the base is 10! Pattern only occurs with base 10! http://pixabay.com/en/site-warning-lightroad-works-541197/ <All fade out> Question G Stem: Which power of ten results in 1,000? Answer Choices: A. 102 B. 103 C. 104 D. 105 Correct Response (B) (Video progresses to clip D) Incorrect Response (other responses) (Video progresses to clip F) 21 | P a g e CLIP H (Remedial 4) Visual Audio <Text appears as follows> 2.5 × 10𝑛 Consider the coefficient two point five. <Previous screen remains, but text is modified as follows> 2.5 × 10 = Two point five times ten results in <Previous screen remains, text appears to the right of previous as follows> 25 <All fade out> twenty five! <Image> Want to know a secret? http://www.morguefile.com/archive/display/66095 <All fade out> <Completely new screen. Text appears large and center screen> 2.5 × 10 Multiplying by ten <Completely new screen. Text and arrow appear as follows> 2.5 = 25.0 is the same as moving the decimal point to the right one space! × 10 <All fade out> <Completely new screen. Text appears as follows> 2.5 × 10 = 25.0 25.0 × 10 = 250.0 Let's imagine multiplying by ten again. <Previous screen remains. Text appears to the right of the last line of previous> 250.0 We'll reach two-hundred fifty! 22 | P a g e <Rearrange previous to show:> 2.5 × 10 × 10 = 250.0 We multiplied by two factors of ten total in this problem. <Previous screen remains, but text is modified as follows> 2.5 × 102 = 250.0 Just like multiplying by ten-squared! <Previous screen remains, but arrows are added as follows> 2.5 × 102 = 250.0 Or moving the decimal twice. <All fade out> Question H Stem: Following the reasoning in the clip, how can we find 2.5 × 103? Answer Choices: A. This will simply be 2.5. The coefficient does not change. B. We can move the decimal point in 2.5 to the left three spaces, reaching 0.0025. C. We can move the decimal point in 2.5 to the right three spaces, reaching 2500. D. We can move the decimal point in 2.5 to the right two spaces, reaching 250. Correct Response (C) (Video progresses to Success Alert) Incorrect Response (other responses) (Video progresses to clip G) 23 | P a g e