Rules, Tables and Graphs: Part 1. Lesson Objectives I can use table data to create LINE GRAPHS. I can represent functions with tables, graphs and formulas.

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Presentation transcript:

Rules, Tables and Graphs: Part 1

Lesson Objectives I can use table data to create LINE GRAPHS. I can represent functions with tables, graphs and formulas. I can extend patterns in graphs and tables to solve problems.

Mental Math Describe number relationships. Identify the number mystery. My number times 25 will equal 100. What’s my number? 15 divided by my number will equal 6. What’s my number? Let y represent my number. 3y = 60

Study Link Follow Up Take out your HW. Share answers with your table and resolve any differences. What were your solutions for problems 3 and 4????

Math Message ( 3 minutes) Complete the problem at the top of journal page 346.

Math Message Follow-Up “Rate” describes a relationship between two quantities. 2 quantities that make up a rate have different units (Ex: miles and hours, dollars and pounds, days and months) Rates are often expressed with phrases that include the word, “per.” 480 miles per hour $2 per pound 10 rainy days per month

Speed and Distance Let’s discuss your solutions to the math message. Because there are 60 minutes in 1 hour, divide 480 by 60. So the distance traveled in 1 minute is 8 miles. 480 miles per hour and 8 miles per minute are EQUIVALENT rates. Complete the table at the bottom on the page.

At 8 miles per minute, how far will a plane travel in 10 minutes? – What about 2 ½ minutes? *Distance traveled = 8 * number of minutes d = 8 * t (formula) *Complete problems 2-4 in pg. 346 and 347. * Use the formula to build a table of values and display these in a line graph. Displaying A Rate of Speed

Comparing 3 ways of Representing Rates Tables, formulas and graphs are simply different ways of representing the same relationship. Tables are the easiest to understand Formulas are the shortest forms of represntation Graphs can help you understand the relationship, but are not as useful for finding precise values.

Making Line Graphs from Value Tables Solve and complete journal ph 348 and 349. You may work with a partner. Raise your hand if you get stuck.

Let’s Discuss For problem 1, would you use the graph, the rule, or the table to find out how long it would take Andy to earn $42? Explain. For problem 4, would you use the graph, the rule or the table to find the distance traveled on 4 3/7 gallons? Explain.

Independent Work On your own at a level 0, complete Math boxes on page 345. When you are finished, you may work on Study Link 10.4