6th grade Math March Madness Integers 6th grade Math March Madness

Integers SPI0606.1.3 Use concrete, pictorial, and symbolic representation for integers. SPI0606.2.8 Locate integers on the number line

Copy information into your notebook, whenever you see this symbol Please Copy Essential Questions What are Integers? How do we order integers on a number line? Construct Meaning: Students will write the key vocabulary under the essential question. Discuss what an integer means. Copy information into your notebook, whenever you see this symbol

EQ: What are Integers? Key Vocabulary Please Copy Key Vocabulary Integer: The set of whole numbers and their opposites. Not a decimal or a fraction Example: …, -3, -2, -1, 0, 1, 2, 3… … means to continue with no end The opposite of 1 is -1 Construct Meaning: Students will write the key vocabulary under the essential question. Discuss what an integer means. EQ: What are Integers?

EQ: What are Integers? Positive vs. Negative Positive integers Please Copy Positive vs. Negative Positive integers Integers greater than zero Shown with a + or no sign Example: 3, +3, (+3) Negative Integers Integers less than zero Shown with a – -3, (-3) *Zero is neither positive or negative Construct Meaning: Students need to be able to recognize positive and negative integers when working with integers. A parentheses () will often help keep the problem organized so students don’t get confused as to what is a positive/negative sign vs. a plus/minus sign. EQ: What are Integers?

EQ: What are Integers? Real-Life Words Positive Integer (+) Please Copy Real-Life Words Positive Integer (+) Negative Integer (-) Up Down Forward Backward Gain Lost Organize: Real life situations involve integers as well. Students should be familiar with the following terms and if they denote a positive or negative integer: Up (+) Down (-) Forward (+) Backward (-) Gain (+) Loose (-) * Have students think of more words that they might see to show positive and negative integers. EQ: What are Integers?

EQ: What are Integers? Examples Please Copy Examples Write an integer for the following situations. 1. The Dead Sea is 1,312 feet below sea level. -1,312 feet 2. Cecilia lost 5 pounds. -5 pounds 3. The quarterback gained 6 yards on the play. + 6 yards 4. A helicopter rises 75 feet in the air. + 75 feet Construct Meaning: Go through the examples. Prompt students in the beginning to get the answers you are looking for. Say things like: Would you write 1,312 as a positive or a negative integer? Ask students to tell which word gave them a hint that they needed to use positive or negative. As you work your way through examples, students will need less support. EQ: What are Integers?

EQ: What are Integers? Comparing Integers Use a number line Please Copy Comparing Integers Use a number line Numbers get smaller Numbers get bigger Construct Models: Students need to understand that as you move right on the number line, integers get bigger, and as you move left on the number line numbers get smaller. EQ: What are Integers?

Integers on a number line Positive and negative integers can be shown on a number line. –8 –3 Negative integers Positive integers We can use the number line to compare integers. Discuss what we mean when we use the terms ‘greater than’ and ‘less than’ with negative numbers. We say that –3 is ‘greater than’ –8 because it is further along the line in the positive direction. For example, –3 > –8 –3 ‘is greater than’ –8

Ordering negative numbers We can also use a number line to help us write integers in order. Graph the integers –2, 8, 2, –6, –9 and 5 in order from smallest to largest. Look at the position of the integers on the number line: –9 –6 –2 2 5 8 Together, order the numbers on the number line. So, the integers in order are: –9, –6, –2, 2, 5, and 8

EQ: What are Integers? Examples Please Copy Examples Graph the following integers on the number line. 1. + 9 2. -7 3. 3 Construct Models: Show students how to graph integers on a number line. EQ: What are Integers?

Temperature Exercise A 10 9 8 7 r 1) Copy and complete. Use the 6 e m 5 r 4 a word 'Warmer' or 'Colder' W 3 2 1 a) 8oC is ________ than 1oC -1 b) –10oC is ________ than 5oC -2 r -3 e -4 d c) -3oC is _________ than 0oC l o -5 C -6 d) -7oC is _________ than -12oC -7 -8 =9 -10

EQ: What are Integers? Its Way too Cold!!!! Think about it! Would you rather it be -5 degrees or -20 degrees? Which one is colder? Which one is a smaller number? Store: Students need to be careful when working with integers. Bigger negatives really mean smaller numbers. Have them think about a number line or a thermometer when working with negatives. I would rather is be -5 degrees then -20 degrees because -20 is way smaller temperatures. EQ: What are Integers?

BUT EQ: What are Integers? Bigger or Smaller? Please Copy Bigger or Smaller? Integers can get tricky so watch out! A bigger positive = bigger number BUT A bigger negative = smaller number Think of the number line for help! Store: Students need to be careful when working with integers. Bigger negatives really mean smaller numbers. Have them think about a number line or a thermometer when working with negatives. I would rather is be -5 degrees then -20 degrees because -20 is way smaller temperatures. EQ: What are Integers?

EQ: What are Integers? Examples Please Copy Examples Use <, >, or = to compare the following integers. 1. + 3; -1 +3 > -1 2. -8; -4 -8 < -4 3. 0; -2 0 > - 2 EQ: What are Integers?

Practice on Discovery Education Think about what you have learned about integers and comparing integers Then, logon to Discovery Education for more practice http://assignments.discoveryeducation.com Progress Zone PZHB953762 Enter HR section, Last Name, First Name