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Materials Reminders. Get out your agenda if you see your name below. I would like to have you in my FLEX Wednesday. Musical Math. Draw the following relationships on separate graphs. Non-linear relationship Proportional linear relationship Non-proportional linear relationship.
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Materials Reminders
Get out your agenda if you see your name below. I would like to have you in my FLEX Wednesday.
Musical Math Draw the following relationships on separate graphs. Non-linear relationship Proportional linear relationship Non-proportional linear relationship
Cornell Notes Topic: 4-5 Solving Proportions Essential Question(s): How do I use proportions to solve problems?
Important Vocabulary Equivalent ratio – any ratios that simplify to the same ratio Proportion – an equation showing two ratios or rates are equal Example:
Important Vocabulary Cross products – the cross products of any proportion are equal Example: 3(10) = 5(6) 30 = 30
Important Vocabulary Constant of Proportionality – a constant that shows the relationship between two proportional quantities Example: 2 is the constant of proportionality
Questions: Notes: Cornell Notes How do I solve a proportion? Steps Set the two equivalent ratios equal to each other so that the numerators correspond and the denominators correspond Find the cross products Solve for the variable Example:
Concept Check • Get into groups of 2 and get one WHITE BOARD and a DE marker • Teach each other how you would set up a proportion for the following scenario AND how you would solve the proportion for the variable. • For every 10 shrimp caught there are always 3 minnows. If Bubba caught 379 shrimp , how many minnows did he catch? • Bubba earns $0.20 for 2 shrimp. If he sold 372 shrimp, how much money would he make? • Be prepared to share with the class.
Questions: Notes: Cornell Notes How do I write and use an equation? Steps Set up a proportion with numbers on one side and equals variables on the other side Solve the equation for whichever variable you want using cross products Example: Frodo bought 5 mushrooms for 25 silver coins. Write an equation that relates cost, c, and the number of mushrooms, m, he bought.
Questions: Notes: Cornell Notes How do I write and use an equation? Steps Find the proportionality constant that relates two variables Write an equation using the constant in a form that would be useful for answering the question Example: Frodo bought 5 mushrooms for 25 silver coins. Write an equation that relates cost, c, and the number of mushrooms, m, he bought. Find the Proportionality Constant = Write the equation
Concept Check • Get into groups of 2 and get one WHITE BOARD and a DE marker • Teach each other how you would write an equation for the following situations. • For every 20 miles Samwise walks he loses 2 pounds. Write an equation that relates the number of pounds lost to the number of miles walked. • For every 10 arrows Legolas shoots at the orcs, 9 killed an orc. Write an equation that relates the number of arrows shot to the number orcs killed. • Be prepared to share with the class.
Homework Page 212-214; 1-17 and 33-35 AND Cornell Notes Summary