Skateboard Practice Reproducible Slide and Learn Negative Number Lines Congratulations on your purchase of these Really Good Stuff® Slide and Learn Negative Number Lines—a set of fun, interactive number lines to help students with positive and negative number sense as well as addition and subtraction skills with integers. This Really Good Stuff® product includes: • 12 Slide and Learn Negative Number Lines • This Really Good Stuff® Activity Guide Using the Slide and Learn Negative Number Lines Before using the Number Lines, make copies of this Really Good Stuff® Activity Guide, cut apart the reproducibles, and file the pages for future use. Or, download another copy of it from our Web site at www.reallygoodstuff.com. Introducing the Slide and Learn Negative Number Lines After using real world concepts of temperature, money/bills, etc. to help your students form a conceptual understanding of numbers, introduce the Slide and Learn Negative Number Lines. Divide students into pairs or small groups and distribute Number Lines to each pair or group, keeping one for yourself to demonstrate how it is used: Show students how to move the skateboard slider from number to number up and down the number line. Have them practice using the Number Lines by placing the skateboard at a specific number, then instruct them to make the skateboard slide to a second number. For example, say, “If I start with three and I add five more, how many will I have all together?” Try several problems together until students understand how the Number Line works. Skate-to-Solve Reproducible Introducing Number-Line Comparison Copy the Skater and Skateboard Patterns Reproducible and the Student Skater Patterns Reproducible. Color the large Skater and Skateboard Patterns and cut them out. Cut apart the student skaters, distribute them, and have students color and cut them out. Demonstrate how to use the Number Lines for comparison: Draw a large -15 through 15 number line on the board and write the following inequalities nearby, leaving the comparison sign out: 1 __ 6, 15 __ 7, 9 __ -9, -14 __-11, -2 __ -14. Use the skateboard pattern to designate the starting number and the skater pattern as the marker for the destination number. 1. Point to the 1 in the first inequality and say, “The first number in my inequality is the number 1, so I’m going to move my skateboard to the 1 on my Number Line.” Then, move the skateboard pattern and attach it to the board above the 1 with poster putty. Instruct students to move the skateboard on their Number Lines to the 1 as well. Helping Teachers Make A Difference® © 2010 Really Good Stuff® 1-800-366-1920 www.reallygoodstuff.com Made in Guangzhou, China #158455 Helping Teachers Make A Difference® 2. Place your skater pattern over the number 6 on the board and explain that the second number in your inequality is 6. Have students do the same with their skater pattern. 3. Ask students what the answer to the inequality is (1 is less than 6), and write the < sign between the 1 and 6 on the board. 4. Ask students if the number 6 is to the left or the right of the number 1 on the Number Line. 5. Explain that when comparing all numbers on a Number Line, whether positive or negative, numbers to the right are always greater and numbers to the left are always less. 6. Do the remaining inequalities on the board with students, emphasizing the position of the numbers as you complete the problems. Introducing Number-Line Addition Demonstrate an addition problem using positive integers: 1. Write 5 + 5 = on the board. Students may be hesitant to work with such a basic problem that they are already familiar with, but explain that they are going to use the same method to work with negative numbers. 2. Point to the 5 in the equation and say, “The first number in my addition problem is the number 5, so I am going move my skateboard to the 5 on my number line.” 3. Move the skateboard pattern and attach it to the board above the 5 with poster putty. Have students move the skateboard on their Number Lines to the 5 as you count together. 4. Stick the skater pattern over the 5 on the board, and tell students that you are putting it there so that you remember the number you started with. Have students place their skater over the 5 on their Number Line, too. 5. Ask a student to come up and slide the Skateboard up 5 numbers from the skater as the whole class counts aloud. Have students slide the skateboard marker on their Number Line up 5 spaces, as well. 6. Ask students to share the number their skateboard landed on. 7. Point to your original problem and tell students, “We added the number five to the number five by moving our skateboard up, or to the right, by five numbers.” 8. Have them say 5 + 5 = 10 as you point to each number. 9. Do the problem -10 + 5 = -5, explaining that no matter where they start on the number line, when they add a positive number, they will always move their skateboard to the right. Next, practice problems adding negative integers. Show students that they always move to the left on the number line when adding a negative integer. For instance, do 7 + (-3), then -2 + (-10), using the skater pattern as the starting point and sliding the skateboard pattern (and the students’ skateboards) to reach the answers. © 2010 Really Good Stuff® 1-800-366-1920 www.reallygoodstuff.com Made in Guangzhou, China #158455 Skater and Skateboard Patterns Reproducible Slide and Learn Negative Number Lines Introducing Number-Line Subtraction For positive and negative integers, introduce subtraction as adding the opposite number. For example, show students that 14 – 4 is the same as 14 + (-4) by placing your skater pattern on the 14 and counting 4 to the left with your skateboard pattern, reaching an answer of 10. Have them follow along using their skater pattern and the skateboard on their Number Line. Then demonstrate -1 – 5, explaining that this is the same as -1 + (-5), and so they should move their skateboard 5 numbers to the left, getting an answer of -6. Line with word problems. Have students work together to solve the problems and then share their answers with the class. For additional practice, have students write Skateto-Solve temperature word problems for the rest of the class to solve. Answers: 1. Wednesday 2. February 3. 4 degrees, 4. -12 degrees C. 5. 13 degrees C. Demonstrate subtracting negative numbers: Skating Math Center Create a portable math center: 1. Decorate a large envelope with skater and skateboard patterns from the Skater and Skateboard Patterns Reproducibles. 2. Place a Negative Number Line, a copy of a small skater pattern, a programmed copy of the Skateboard Practice Reproducible, and the Skate-to-Solve Reproducible inside the envelope. 3. Instruct students during center time to take the envelope to their desk and do the worksheets using the Number Line and the small skater marker. Problem 1 1. Write the problem 6 – (-5) = on your board. Explain again that subtraction is actually adding the opposite, and write the problem 6 + 5 = under the first problem, explaining that the opposite of -5 is 5. 2. Place your skater over the number 6, and have students do the same with their skater. 3. Count up (to the right) five spaces using your skateboard pattern. Have students do the same with their skateboard as you count up together to the number 11. 4. Write 11 as the answer on both problems you have written on the board. Problem 2 1. Write -6 – (-10) = on your board. Ask students what addition problem this would make, and when a student answers correctly, write -6 + 10 = just below the other problem. 2. Place your skater on -6, and have students do the same with their skater. 3. Use your skateboard to count (to the right) 10 numbers to 4. 4. Write 4 as the answer to both problems. Skateboard Math Use the Skateboard Practice Reproducible to create comparison, addition, or subtraction practice problems for students to solve with the Number Line: Write appropriate inequalities, addition and/or subtraction problems inside the skateboards on a copy of the reproducible, then make and distribute copies. Skate-to-Solve Temperature Word Problem Challenge One real-world math situation that involves positive and negative numbers is measuring temperature. Explain to students that temperatures can be both above and below 0, and that students can practice solving problems involving temperature with the Slide and Learn Negative Number Line. Copy and distribute the Skate-to-Solve Reproducible for students to practice using the Number Helping Teachers Make A Difference® Student Skater Patterns Reproducible Number-line Madness Ahead of time, gather two Number Lines and a pack of addition or subtraction flash cards that includes negative number problems. 1. Divide students into two teams and have them line up parallel to each other in single lines. 2. Give the student at the head of each line a Number Line. 3. Stand at the head of the lines and hold up a flash card for the students to see. 4. Explain how to play: A. Each student uses a Number Line to find the solution and shouts out the answer. B. The student who gives the first correct answer hands the Number Line to the next person in line and walks to the end of the line. The other student hands the next person the Number Line and sits down in his or her seat. C. Play continues until one team wins with the last person standing. 5. Play several games and tally the wins to award a grand prize to the winning team. Variation: Play this game to practice comparison of positive and negative numbers: 1. Make a set of flash cards with inequalities on it, leaving the <, >, or = out of the inequalities. 2. Students use the Number Line to determine the correct math sign for the inequality, and the student who states the entire correct inequality first wins. © 2010 Really Good Stuff® 1-800-366-1920 www.reallygoodstuff.com Made in Guangzhou, China #158455 Helping Teachers Make A Difference® © 2010 Really Good Stuff® 1-800-366-1920 www.reallygoodstuff.com Made in Guangzhou, China #158455 Skateboard Practice Reproducible Slide and Learn Negative Number Lines Congratulations on your purchase of these Really Good Stuff® Slide and Learn Negative Number Lines—a set of fun, interactive number lines to help students with positive and negative number sense as well as addition and subtraction skills with integers. This Really Good Stuff® product includes: • 12 Slide and Learn Negative Number Lines • This Really Good Stuff® Activity Guide Using the Slide and Learn Negative Number Lines Before using the Number Lines, make copies of this Really Good Stuff® Activity Guide, cut apart the reproducibles, and file the pages for future use. Or, download another copy of it from our Web site at www.reallygoodstuff.com. Introducing the Slide and Learn Negative Number Lines After using real world concepts of temperature, money/bills, etc. to help your students form a conceptual understanding of numbers, introduce the Slide and Learn Negative Number Lines. Divide students into pairs or small groups and distribute Number Lines to each pair or group, keeping one for yourself to demonstrate how it is used: Show students how to move the skateboard slider from number to number up and down the number line. Have them practice using the Number Lines by placing the skateboard at a specific number, then instruct them to make the skateboard slide to a second number. For example, say, “If I start with three and I add five more, how many will I have all together?” Try several problems together until students understand how the Number Line works. Skate-to-Solve Reproducible Introducing Number-Line Comparison Copy the Skater and Skateboard Patterns Reproducible and the Student Skater Patterns Reproducible. Color the large Skater and Skateboard Patterns and cut them out. Cut apart the student skaters, distribute them, and have students color and cut them out. Demonstrate how to use the Number Lines for comparison: Draw a large -15 through 15 number line on the board and write the following inequalities nearby, leaving the comparison sign out: 1 __ 6, 15 __ 7, 9 __ -9, -14 __-11, -2 __ -14. Use the skateboard pattern to designate the starting number and the skater pattern as the marker for the destination number. 1. Point to the 1 in the first inequality and say, “The first number in my inequality is the number 1, so I’m going to move my skateboard to the 1 on my Number Line.” Then, move the skateboard pattern and attach it to the board above the 1 with poster putty. Instruct students to move the skateboard on their Number Lines to the 1 as well. Helping Teachers Make A Difference® © 2010 Really Good Stuff® 1-800-366-1920 www.reallygoodstuff.com Made in Guangzhou, China #158455 Helping Teachers Make A Difference® 2. Place your skater pattern over the number 6 on the board and explain that the second number in your inequality is 6. Have students do the same with their skater pattern. 3. Ask students what the answer to the inequality is (1 is less than 6), and write the < sign between the 1 and 6 on the board. 4. Ask students if the number 6 is to the left or the right of the number 1 on the Number Line. 5. Explain that when comparing all numbers on a Number Line, whether positive or negative, numbers to the right are always greater and numbers to the left are always less. 6. Do the remaining inequalities on the board with students, emphasizing the position of the numbers as you complete the problems. Introducing Number-Line Addition Demonstrate an addition problem using positive integers: 1. Write 5 + 5 = on the board. Students may be hesitant to work with such a basic problem that they are already familiar with, but explain that they are going to use the same method to work with negative numbers. 2. Point to the 5 in the equation and say, “The first number in my addition problem is the number 5, so I am going move my skateboard to the 5 on my number line.” 3. Move the skateboard pattern and attach it to the board above the 5 with poster putty. Have students move the skateboard on their Number Lines to the 5 as you count together. 4. Stick the skater pattern over the 5 on the board, and tell students that you are putting it there so that you remember the number you started with. Have students place their skater over the 5 on their Number Line, too. 5. Ask a student to come up and slide the Skateboard up 5 numbers from the skater as the whole class counts aloud. Have students slide the skateboard marker on their Number Line up 5 spaces, as well. 6. Ask students to share the number their skateboard landed on. 7. Point to your original problem and tell students, “We added the number five to the number five by moving our skateboard up, or to the right, by five numbers.” 8. Have them say 5 + 5 = 10 as you point to each number. 9. Do the problem -10 + 5 = -5, explaining that no matter where they start on the number line, when they add a positive number, they will always move their skateboard to the right. Next, practice problems adding negative integers. Show students that they always move to the left on the number line when adding a negative integer. For instance, do 7 + (-3), then -2 + (-10), using the skater pattern as the starting point and sliding the skateboard pattern (and the students’ skateboards) to reach the answers. © 2010 Really Good Stuff® 1-800-366-1920 www.reallygoodstuff.com Made in Guangzhou, China #158455 Skater and Skateboard Patterns Reproducible Slide and Learn Negative Number Lines Introducing Number-Line Subtraction For positive and negative integers, introduce subtraction as adding the opposite number. For example, show students that 14 – 4 is the same as 14 + (-4) by placing your skater pattern on the 14 and counting 4 to the left with your skateboard pattern, reaching an answer of 10. Have them follow along using their skater pattern and the skateboard on their Number Line. Then demonstrate -1 – 5, explaining that this is the same as -1 + (-5), and so they should move their skateboard 5 numbers to the left, getting an answer of -6. Line with word problems. Have students work together to solve the problems and then share their answers with the class. For additional practice, have students write Skateto-Solve temperature word problems for the rest of the class to solve. Answers: 1. Wednesday 2. February 3. 4 degrees, 4. -12 degrees C. 5. 13 degrees C. Demonstrate subtracting negative numbers: Skating Math Center Create a portable math center: 1. Decorate a large envelope with skater and skateboard patterns from the Skater and Skateboard Patterns Reproducibles. 2. Place a Negative Number Line, a copy of a small skater pattern, a programmed copy of the Skateboard Practice Reproducible, and the Skate-to-Solve Reproducible inside the envelope. 3. Instruct students during center time to take the envelope to their desk and do the worksheets using the Number Line and the small skater marker. Problem 1 1. Write the problem 6 – (-5) = on your board. Explain again that subtraction is actually adding the opposite, and write the problem 6 + 5 = under the first problem, explaining that the opposite of -5 is 5. 2. Place your skater over the number 6, and have students do the same with their skater. 3. Count up (to the right) five spaces using your skateboard pattern. Have students do the same with their skateboard as you count up together to the number 11. 4. Write 11 as the answer on both problems you have written on the board. Problem 2 1. Write -6 – (-10) = on your board. Ask students what addition problem this would make, and when a student answers correctly, write -6 + 10 = just below the other problem. 2. Place your skater on -6, and have students do the same with their skater. 3. Use your skateboard to count (to the right) 10 numbers to 4. 4. Write 4 as the answer to both problems. Skateboard Math Use the Skateboard Practice Reproducible to create comparison, addition, or subtraction practice problems for students to solve with the Number Line: Write appropriate inequalities, addition and/or subtraction problems inside the skateboards on a copy of the reproducible, then make and distribute copies. Skate-to-Solve Temperature Word Problem Challenge One real-world math situation that involves positive and negative numbers is measuring temperature. Explain to students that temperatures can be both above and below 0, and that students can practice solving problems involving temperature with the Slide and Learn Negative Number Line. Copy and distribute the Skate-to-Solve Reproducible for students to practice using the Number Helping Teachers Make A Difference® Student Skater Patterns Reproducible Number-line Madness Ahead of time, gather two Number Lines and a pack of addition or subtraction flash cards that includes negative number problems. 1. Divide students into two teams and have them line up parallel to each other in single lines. 2. Give the student at the head of each line a Number Line. 3. Stand at the head of the lines and hold up a flash card for the students to see. 4. Explain how to play: A. Each student uses a Number Line to find the solution and shouts out the answer. B. The student who gives the first correct answer hands the Number Line to the next person in line and walks to the end of the line. The other student hands the next person the Number Line and sits down in his or her seat. C. Play continues until one team wins with the last person standing. 5. Play several games and tally the wins to award a grand prize to the winning team. Variation: Play this game to practice comparison of positive and negative numbers: 1. Make a set of flash cards with inequalities on it, leaving the <, >, or = out of the inequalities. 2. Students use the Number Line to determine the correct math sign for the inequality, and the student who states the entire correct inequality first wins. © 2010 Really Good Stuff® 1-800-366-1920 www.reallygoodstuff.com Made in Guangzhou, China #158455 Helping Teachers Make A Difference® © 2010 Really Good Stuff® 1-800-366-1920 www.reallygoodstuff.com Made in Guangzhou, China #158455