Integers 6 th grade Math Miss Quimbys Class

Integers 6 th grade Math Miss Quimby’s Class

Table of Contents l l l Lesson 1: What are integers? Lesson 2: How do I add integers? Lesson 3: How do I subtract integers? Lesson 4: How do I multiply integers? Lesson 5: How do I divide integers? Lesson 6: How do I solve an expression that may contain integers using the order of operations?

Table of Contents Compare l Compare a number line to a thermometer. – How are they alike? – How are they different? EQ: What are Integers?

Table of Contents Key Vocabulary l Integer: The set of whole numbers and their opposites. – Not a decimal or a fraction l Example: …, -3, -2, -1, 0, 1, 2, 3… – … means to continue with no end – The opposite of 1 is -1 EQ: What are Integers?

Table of Contents Positive vs. Negative l Positive integers – – Integers greater than zero Shown with a + or no sign l Example: 3, +3, (+3) l *Zero is neither positive or negative Negative Integers – – Integers less than zero Shown with a – l Example: -3, (-3) EQ: What are Integers?

Table of Contents Real-Life Words Positive Integer (+) Negative Integer (-) Up Down Forward Backward Gain Lost EQ: What are Integers?

Table of Contents Examples l Write an integer for the following situations. – 1. The Dead Sea is 1, 312 feet below sea level. l – 2. Cecilia lost 5 pounds. l – -5 pounds 3. The quarterback gained 6 yards on the play. l – -1, 312 feet + 6 yards 4. A helicopter rises 75 feet in the air. l + 75 feet EQ: What are Integers?

Table of Contents Comparing Integers l Use a number line Numbers get smaller Numbers get bigger EQ: What are Integers?

Table of Contents Examples l Graph the following integers on the number line. – – – 1. + 9 2. -7 3. 3 EQ: What are Integers?

Table of Contents Bigger or Smaller? l Integers can get tricky so watch out! – A bigger positive = bigger number BUT – A bigger negative = smaller number l Think of the number line for help! EQ: What are Integers?

Table of Contents Its Way too Cold!!!! l Think about it! – Would you rather it be -5 degrees or -20 degrees? l l Which one is colder? Which one is a smaller number? EQ: What are Integers?

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

Table of Contents Explain l Which is higher, 5 feet below seas level or 4 feet below seas level? Explain your answer using words, symbols or pictures. EQ: What are Integers?

Table of Contents Brain Pop l Adding and Subtracting Integers EQ: How do I add integers?

Table of Contents Try the Activity l Solve It – Complete the Brain Pop Activity page. l You will need two different colored pencils. EQ: How do I add integers?

Table of Contents Adding Integers l Same Signs Sum – Ignore the signs and add l Positive + Positive = Positive – l Example: l 5 + 3 = 8 Negative + Negative = Negative – Example l -5 + (-3) = - 8 EQ: How do I add integers?

Table of Contents Adding Integers l Different Signs Difference – Ignore the signs and subtract: bigger – smaller l The answer gets the sign of the bigger number. – Example: l 3 + (-5) = -2 l -3 + 5 = 2 EQ: How do I add integers?

Table of Contents Examples l 1. -4 + 6 = 2 – Different signs difference l l l 5– 3=2 -2 5. -10 + 10 = 0 2+7=9 -9 – 3. 6 + 3 = 9 Different signs difference l – – Same signs sum l l 4. 3 + (-5) = -2 6 -4=2 2 2. -2 + (-7) = -9 – l – Different signs difference 10 – 10 = 0 0 Same signs sum l l 6+3=9 +9 EQ: How do I add integers?

Class work l Complete the Football Frenzy Adding Integers packet. – – You may work with a partner or by yourself. After you complete each page, raise your hand to get your work checked before you move on! l The last page in the packet will not be checked and collected for a quiz grade!

Mad Minute Integers l Do as many problems from 11 -3 Practice Adding Integers as you can in 3 minutes. – l How did you do? – – l Race yourself only. Where are you going wrong? Try to fix your mistakes on 5 -4 Practice Adding Integers. Do it again – Try to do better this time on 11 -3 Practice Adding Integers.

How do you solve this using integer chips? l -5 – 4 – – l l – – l - First, you need 5 negative integer chips. Next, subtraction tells you to take 4 positive integer chips away. - There are no positive integer chips to take away. We must add 4 zero pairs Now, take away 4 positive integer chips. What is left is the answer. -5 – 4 = -9 - - - + +

Subtracting Integers l Keep-Change – – – Keep the first integer the same Change – to + Change the second integer to its opposite l Now follow the rules for adding integers. Same Signs Sum – Different Signs Difference –

Example l 1. 4 – (-5) Keep Change 4 l +- (+5) (-5) Now, you have 4 + (+5) – Same Signs Sum: 4 + 5 = 9

Example l 2. -3 – 2 Keep Change -3 +- (-2) 2 l Now, you have -3 + (-2) – Same Signs Sum: -3 + (-2) = -5

Graphic Organizer l Brainstorm – Think about what you have learned about adding and subtracting integers. l Then, complete the Brain Pop Graphic Organizer