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http://www.learnalberta.ca/content/mesg/html/math6web/index.html?page=lessons&lesson=m6lessonshell06.swf Learn Alberta. Let’s Review Integers (Unit 9). 1. Combine 2 red chips and 2 blue chips…what is their sum? 2. Make the above into an addition statement …use brackets.
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http://www.learnalberta.ca/content/mesg/html/math6web/index.html?page=lessons&lesson=m6lessonshell06.swfhttp://www.learnalberta.ca/content/mesg/html/math6web/index.html?page=lessons&lesson=m6lessonshell06.swf Learn Alberta Let’s Review Integers (Unit 9)
1. Combine 2 red chips and 2 blue chips…what is their sum? 2. Make the above into an addition statement …use brackets. Add & Subtract Integers (Unit 9) Red Chips = +1 Blue Chips = -1
Are integers with the same numeral, but different signs (+ or -) …they are the same distance from zero, in opposite directions. Opposite Integers Student Outcome: I will learn what opposite integers are. • For example: • (+1) and (-1) are opposite integers • (-3) and ( ) are opposite integers • (+14) and ( ) are opposite integers • (-659) and ( ) are opposite integers
Zero Pair: combining (+1) with (-1) (+1) + (-1) = 0 Zero Pairs Student Outcome: I learn about zero pairs. • We can combine numerous zero pairs to solve problems: • For example: • (+1) + (-1) = • (-3) + (+3) = • (+11) + (-11) =
Grouping: combining “positives with positives” “positives with negatives” or “negatives with negatives” to allow us to solve Adding Integers Student Outcome: I will be able to add integers using integer chips. Addition Statements: (+1) + (+2) = ______ (+5) + (- 4) = ______ • Your turn…apply “integer addition” • Draw the model for (-3) + (+ 4) • 2. Draw the model for (+11) + (-3)
Using Tiles to group + and – to find the answer….(great site!) http://nlvm.usu.edu/en/nav/frames_asid_161_g_2_t_1.html Using addition equations (small to large #’s) to find the answer. http://www.berghuis.co.nz/abiator/maths/sa/saintegeradd2.htmL VARIETY of GAMES: http://classroom.jc-schools.net/basic/math-integ.html Adding Integers GAMES Student Outcome: I will be able to add integers using integer chips.
SOLVE FindThe Addition Statement Student Outcome: I will be able to add integers using integer chips.
Model the scenario and create an addition statement to find your answer… FindThe Addition Statement Student Outcome: I will be able to add integers using integer chips. Ray spent $5 on bus fares to visit his Aunt. During the visit, her Aunt gave him $12 for doing some yard work. How much money did Ray gain from the visit?
Page 313- 315 12, 17af, 19abd, 20ab 11 6, 9, 14b, 17 1, 2, 5, 8ab, 9 Applying Integer Addition
Practical Quiz #1 On the front On the back
Using aNumber Lineto Add Integers Student Outcome: I will be able to add integers using a number line. Start at zero and move the direction of the first number…then move the direction of the second number! Directions: Positive (+) andNegative (-) Move the DOT to it’s correct place using the addition statements below… 1. (+4) + (+3) 2. (-2) + (+5) 3. (+5) + (-11)
What is the “addition statement?” Student Outcome: I will be able to add integers using a number line. • The addition statement below is… • (+4) + (+3) • What do the colors of the arrows represent? • What do the length of the arrows represent?
What is the “addition statement?” Student Outcome: I will be able to add integers using a number line. • The addition statement below is… • (+4) + (+3) • What do the colors of the arrows represent? • What do the length of the arrows represent? • What is the total?
What is the “addition statement?” Student Outcome: I will be able to add integers using a number line. What are the “Addition Statements?”
What is the “addition statement?” Student Outcome: I will be able to add integers using a number line. What are the “Addition Statements?”
What is the “addition statement?” Student Outcome: I will be able to add integers using a number line. Create your own…come on up and test your classmates? Addition Statement…
What is the “addition statement?” Student Outcome: I will be able to add integers using a number line. What are the “Addition Statements?”
What is the “addition statement?” Student Outcome: I will be able to add integers using a number line. What are the “Addition Statements?”
Finding Temperaturesusing a Number Line • Number lines can also be vertical (grids). • Top of the “y” axis is positive and bottom is negative. • Rightside of “x” axis is positive andleft side is negative. What are the 2 different addition statements?
What is the “addition statement?” Create your own… Addition Statement…
ApplyInteger Addition The temperature in Yellowknife, Northwest Territories, on morning in October was – 4°C. The temperature increased by 9°C to reach the high temperature for that day. What was the high temperature? 5°C 0°C - 5°C
ApplyInteger Addition This morning it was ______°C and the temperature has gone up 12°C. What is the high temperature going to be today? 5°C 0°C - 5°C
Page 320-322: 4,20ab,21ef,22,23 114,5,8ab,13,14,18 1,4,5,7ab,9,10 Applying Integer Addition
Practical Quiz #2 On the front On the back
Explore Integer Subtraction Student Outcome: I will be able to subtract integers using integer chips. Subtract integers using integer chips… What is the subtraction expression for the model above? Take away 4 red chips from the original 6 red chips…what do you have left?
Subtract integers using integer chips… What is the subtraction expression for the model above? Take away 3 blue chips from the original 7 blue chips…what do you have left? Explore Integer Subtraction Student Outcome: I will be able to subtract integers using integer chips.
Model it… Subtraction Student Outcome: I will be able to subtract integers using integer chips. Model the equations below… (-5) – (-2) (+8) – (+3)
Model the equations below… (-5) – (-2) (+8) – (+3) Model it… Subtraction Student Outcome: I will be able to subtract integers using integer chips. What do you notice about each equation?
Model the equations below… (-5) – (+2) (+1) – (+4) CAN THESE BE SOLVED??? Model it… Subtraction
Model it… Subtraction Student Outcome: I will learn different strategies to use addition to subtract integers.. STRATEGY #1 “Move in – Move out”
What if the Integer #’s are different? Student Outcome: I will learn different strategies to use addition to subtract integers.. (+ 2) – (+5) Step 1 Step 2 Step 3 Step 4 • Steps to follow: • Model the first integer • Move in enough to model the second integer • 3.Remove the chips asked in the subtraction statement • 4. What is left
What if the Integer #’s are different? Student Outcome: I will learn different strategies to use addition to subtract integers.. (-1) – (-6) Step 1 Step 2 Step 3 Step 4 • Steps to follow: • Model the first integer • Move in enough to model the second integer • 3.Remove the chips asked in the subtraction statement • 4. What is left
What if the Integer #’s are different? Student Outcome: I will learn different strategies to use addition to subtract integers.. (-1) – (+4) Step 1 Step 2 Step 3 Step 4 • Steps to follow: • Model the first integer • Move in enough to model the second integer • 3.Remove the chips asked in the subtraction statement • 4. What is left
What if the Integer #’s are different? Student Outcome: I will learn different strategies to use addition to subtract integers.. (-3) – (-7) Step 1 Step 2 Step 3 Step 4 • Steps to follow: • Model the first integer • Move in enough to model the second integer • 3.Remove the chips asked in the subtraction statement • 4. What is left
What if the Integer #’s are different? Student Outcome: I will learn different strategies to use addition to subtract integers.. (+2) – (-6) Step 1 Step 2 Step 3 Step 4 • Steps to follow: • Model the first integer • Move in enough to model the second integer • 3.Remove the chips asked in the subtraction statement • 4. What is left
STRATEGY #2 “Zero Pairs” Model it… Subtraction Student Outcome: I will learn different strategies to use addition to subtract integers..
What if the Integer #’s are different? Student Outcome: I will learn different strategies to use addition to subtract integers.. (+ 2) – (- 4) Step 1 Step 2 Step 3 Step 4 • Steps to follow: • Model what the question is asking • ZERO PAIRS: 2nd integer reversing the (+) or (-) of number… • 3.Remove the chips asked in the subtraction statement • 4. Then group the chips left over!
What if the Integer #’s are different? Student Outcome: I will learn different strategies to use addition to subtract integers.. (- 2) – (- 3) Step 1 Step 2 Step 3 Step 4 • Steps to follow: • 1. Model what the question is asking • ZERO PAIRS: 2nd integer reversing the (+) or (-) of number… • 3.Remove the chips asked in the subtraction statement • 4. Then group the chips left over!