Graph Number Patterns

Transcription

1 ? Name. ALGEBRA Essential Question Graph Number Patterns How can ou displa number patterns in the coordinate grid? Geometr and Measurement..C Also..C MATHEMATICAL PROCESSES..A,..C,..D Unlock the Problem When Alice completes each level in her favorite video game, she wins etra lives. Use a graph. How man etra lives will Alice have after levels? STEP Make an input/output table. Input Completed Level Etra Lives STEP Write the related pairs of data as ordered pairs. The input is the -coordinate and the output is the -coordinate. (, ) Level : Level : Level : Level : Houghton Mifflin Harcourt Publishing Compan STEP Plot the ordered pairs in the coordinate grid. 0 Level Completed Etra Lives So, Alice will have _ etra lives after completing levels. Math Talk Mathematical Processes Describe the number pattern for etra lives. Module

2 Eample The pattern below follows the rule = +, where is the number of squares and is the figure number. Use the pattern to find how man squares will be in Figure. Displa the pattern in the coordinate grid. Figure Figure Figure STEP The pattern in the number of squares is,,, _, _. STEP Write ordered pairs using the figure number and the number of squares. (, ) (, ) (_, _) (_, _) (_, _) STEP Plot the ordered pairs in the graph. 0 Share and Show Use the given rules to complete the pattern. Displa the pattern in the coordinate grid.. Multipl the number of nickels b to find the number of pennies that equal the value. Input Nickels Pennies 0 0. Add to the input. Input 0 Houghton Mifflin Harcourt Publishing Compan

3 Name Problem Solving. Write Math The rule for a pattern is add to the input. Eplain how ou can use the rule to write ordered pairs that represent the pattern.. Write five ordered pairs that represent the pattern rule multipl input b. Displa the pattern in the coordinate grid to the right. 0 Problem Solving Use the coordinate plane for.. Multi-Step Emil has a road map with a ke that shows an inch on the map equals miles of actual distance. Use the table and the coordinate grid to show the pattern. Input Distance on the Map (in.) Actual Distance (mi). Use Graphs What is the actual distance if the distance on the map is inches? Write the ordered pair. Plot a point in the coordinate grid to show the appropriate ordered pair Houghton Mifflin Harcourt Publishing Compan. What is the distance on the map if the actual distance is miles? Plot a point in the coordinate grid to show the appropriate ordered pair. Module Lesson

4 Dail Assessment Task Mathematical Processes Fill in the bubble completel to show our answer.. Ted gets a $ allowance ever week and saves $ of it. He makes a graph to show his savings, where the -coordinate represents the number of weeks and the -coordinate represents the number of dollars saved. Which of the following ordered pairs could be on the graph? A (, 0) C (, 0) B (, ) D (, ). Tina owns a flower shop. The table shows the prices for different numbers of flowers. She makes a graph that compares number of flowers to total price. Which ordered pair should NOT be on the graph? Input Number of Flowers Price (in dollars) A (, ) C (, ) B (, ) D (, ). Multi-Step Steve mies cups grape juice with cups ginger ale to make a punch. Steve makes a graph to compare the amounts of juice needed for several batches. Which ordered pairs could be on the graph? A (, ), (, ), (, ) B (, ), (, ), (, ) C (, ), (, ), (, ) D (, ), (, ), (, ) Cups of Ginger Ale 0 Cups of Grape Juice TEXAS Test Prep. Rob is making a fruit punch for a part. He adds cups of pineapple juice for ever cup of orange juice. Which ordered pair shows how man cups of pineapple juice he needs for cups of orange juice? A (, ) C (, ) B (, ) D (, ) Orange Juice (c) Pineapple Juice (c) Houghton Mifflin Harcourt Publishing Compan

5 Homework and Practice Name Geometr and Measurement..C Also..C MATHEMATICAL PROCESSES..A,..C,..D. Graph Number Patterns ALGEBRA Use the given rules to complete the pattern. Displa the pattern in the coordinate grid.. Multipl the number of cans b to find the number of tennis balls. Input Cans Balls. Add to the input. Input 0 0. Write four ordered pairs that represent the pattern rule multipl input b. Displa the pattern in the coordinate grid to the right. 0 Problem Solving Use the coordinate grid for. 0 Houghton Mifflin Harcourt Publishing Compan. An architect makes a drawing of a building. One inch in the drawing equals feet in actual measurement. Use the table and the coordinate grid to show the pattern. Input Drawing (in.) Actual Measurement (ft). What is the actual measurement if the length in the graph drawing is units? Plot a point in the coordinate grid to show the ordered pair Module Lesson

6 Lesson Check TEXAS Test Prep Fill in the bubble completel to show our answer.. Carson purchases tulip bulbs for his garden. Each package contains bulbs. Which ordered pair shows the number of bulbs in packages? Input Packages Bulbs A (, ) C (, ) B (, ) D (, ). For ever $ the students raise for the new plaground equipment fund, the parents association donates $ to the fund. If the -coordinate is the amount the students raise and the -coordinate is the amount the parents donate, which ordered pair could be on the graph? A (0, 0) C (0, 00) B (0, ) D (0,,000). Multi-Step Shakira saves $ for ever $ she spends. She makes a graph that compares the amount she spends to the amount she saves. Which ordered pairs could be on Shakira s graph? 0 Amount Spent ($) Amount Saved ($) A (, ), (, ). Multi-Step When the cook at Barne s Restaurant makes chili, he adds cups of water for ever cups of tomato sauce. If ou make a graph to compare the amounts of tomato sauce needed for several batches of chili, which ordered pairs could be on the graph? 0 Cups of Tomato Sauce Cups of Water B (, ), (, ) C (, ), (, ) D (, ), (, ) A (, ), (, ), (, ) B (, ), (, ), (, ) C (, ), (, ), (, ) D (, ), (, ), (, ) Houghton Mifflin Harcourt Publishing Compan