MathCAST G6.I 6 Day 1 Screen # Represent and Solve Problems Involving Simple Inequalities Onscreen Elements Audio Narration Bumper images with MathCAST title Representing and Solving Problems Involving Simple Inequalities 1a Programming/Animati on Notes N/A Tailored bumper swf Video file name: NG_G6_I_06_Day 1_MathCasts http://www.latofonts.co m/ A friend just asked if I want to see Wide shot of Zach in a movie later. I’m not sure. I need front of a movie eight dollars to go to the movie. theater. Sound Effects But I owe my brother ten dollars. 1b I need to figure out if the amount of money I have is enough to go to a movie and pay my brother back. Hey – I can use an inequality to help me. Whiteboard 2a Write a sentence as an inequality. Twice a number is at least –2. Let’s walk through some examples of what it means to write a sentence as an inequality. Transition to Zach looking in his wallet. No money should actually be visible. Transition to whiteboard Add words in the sentence one by one in sync with audio. To write a sentence as an inequality, just write what is in the sentence using numbers and symbols. What do you think “Twice a number is at least –2” means? Storyboards v1.1.2a To production 1 of 6 MathCAST G6.I 6 Day 1 Screen # 2b Represent and Solve Problems Involving Simple Inequalities Onscreen Elements Audio Narration Write a sentence as an inequality. I can pick the letter x to represent ‘a number,’ which means that it is unknown. Twice a number is 2 times x. Twice a number is at least –2. 2c 2x Write a sentence as an inequality. Ok, now I need an inequality symbol that means “at least.” Twice a number is at least –2. 2x 2d ³ Write a sentence as an inequality. It seems a bit weird, but I need the greater than or equal to symbol because a number that is at least negative 2 must be greater than or equal to negative 2. The last part is easy. Negative 2 is written as negative 2. Twice a number is at least –2. 2x ³ –2 Programming/Animati on Notes Add bracket and 2x in sync with narration. Sound Effects Add bracket and ³ in sync with narration. Add bracket and –2 in sync with narration. Add full inequality statement immediately after narration. 2x ³ -2 2e Write a sentence as an inequality. Twice a number is at least –2. 2x ³ -2 Storyboards v1.1.2a To production So the inequality for our sentence is two x is greater than or equal to negative 2. Keep direction line and remove brackets and number below. Keep inequality as shown and highlight using K12 color hierarchy each part in sync with narration. 2 of 6 MathCAST G6.I 6 Day 1 Screen # 2f Represent and Solve Problems Involving Simple Inequalities Onscreen Elements Audio Narration Write a sentence as an inequality. Here’s another example. Three more than the product of 4 and a number is at most 7. Three more than the product of 4 and a number is at most 7. 2g Write a sentence as an inequality. Three more than the product of 4 and a number is at most 7. 2h 4y + 3 Write a sentence as an inequality. Three more than the product of 4 and a number is at most 7. £ 4y + 3 2i Write a sentence as an inequality. The first part is a mouthful, but I’ve got this. I’ll use y for my number this time, so three more than the product of 4 and a number is 4 times y (pause) plus 3. “Is at most” is a little tricky. Programming/Animati on Notes [Note: Sentence must fit across width of screen or there needs to be space between the lines so the brackets will fit beneath each line.] Sound Effects Add words one by one in sync with audio. Add bracket and 4y + 3 in sync with audio. Add bracket and £ in sync with audio. I need to use the less than or equal to symbol because it means that 7 is the greatest value it could have, but values less than 7 would be OK. And again, the last part is easy, 7 is written as 7. Add bracket and 7 in sync with audio. Three more than the product of 4 and a number is at most 7. £ 4y + 3 7 4y + 3 £ 7 Storyboards v1.1.2a To production 3 of 6 MathCAST G6.I 6 Day 1 Screen # 2j Represent and Solve Problems Involving Simple Inequalities Onscreen Elements Audio Narration Write a sentence as an inequality. So the inequality for this sentence is 4 times y (pause) plus 3 is less than or equal to 7. Three more than the product of 4 and a number is at most 7. 4y + 3 £ 7 2k Write a sentence as an inequality. $8 for a movie $10 to my brother Storyboards v1.1.2a To production Now let’s figure out if I have enough money to go to a movie and pay my brother back. Programming/Animati on Notes Keep direction line and remove brackets and number below. Keep inequality as shown and highlight each part in sync with narration. Add text in sync with audio. Sound Effects 4 of 6 MathCAST G6.I 6 Day 1 Screen # 2l Represent and Solve Problems Involving Simple Inequalities Onscreen Elements Audio Narration Write a sentence as an inequality. The sentence “ten less than a number is more than 8” describes the situation. Why? Ten less than a number is more than eight. The number is the amount of money I have. ‘Ten less’ is because I have to pay my brother back 10 dollars, and ‘more than 8’ is because I have to have at least 8 dollars for the movie. Programming/Animati on Notes Add sentence at beginning of audio. Sound Effects Highlight three parts of OST in sync with narration. Highlight the three parts in three different colors. Use K12’s color hierarchy Highlight “Ten less” when narration says “Ten less.” Highlight “a number” when narration says “the number is the amount.” Highlight “is more than eight” when narration says “more than 8.” 2m Write a sentence as an inequality. Ten less than a number is more than eight. I will use the letter h for “a number.” Then I will write ten less than a number as “h minus 10.” [Note: Entire sentence must extend across width of screen on one line.] h – 10 In sync with narration, add bracket and h – 10. Storyboards v1.1.2a To production 5 of 6 MathCAST G6.I 6 Day 1 Screen # 2n Represent and Solve Problems Involving Simple Inequalities Onscreen Elements Audio Narration Write a sentence as an inequality. I can use the greater than symbol to write “is more than.” Programming/Animati on Notes In sync with narration, add bracket and >. Sound Effects Ten less than a number is more than eight. h – 10 2o > Write a sentence as an inequality. What does the amount of money I have minus 10 need to be more than? 8! In sync with narration, add bracket and 8. What does this tell me? Any number, h, that makes the inequality true, is an amount of money that gives me enough to pay back my brother and go to a movie! Twenty dollars! I can go to the movie because 20 minus 10 is 10 and 10 is greater than 8. Wahoo! Add inequality at beginning of narration. Ten less than a number is more than eight. 2p h – 10 > Write a sentence as an inequality. 8 Ten less than a number is more than eight. h – 10 > 8 3a Storyboards v1.1.2a To production Transition back to Zach looking in his wallet. 6 of 6
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