HW: Adding Integers Wkst Math 7 Monday, 8/22/16 Write the IC and HW in your planner. IC: Using chips to add integers HW: Adding Integers Wkst Materials Pencil Marker & eraser Math Folder Extra Credit Planner 1
1) Solve using the order of operations.
Math Talks
Integer Conncetions Wkst Determine each connection. Use old notes and/or draw circles with “+” and “-” to help you make the connection. 1) Subtracting 1 positive gives the same result as __________ ___ _________________. adding 1 negatives 2) Subtracting 7 negatives gives the same result as ______________ ____ __________________ . adding 7 positives 3) Subtracting 3 gives the same result as _________________ _______. adding - 3 3 negatives
Making Connections 4) - - 8 gives the same result as _______. + +8 OR + 8 5) + - 5 gives the same result as _______. - +5 OR - 5 6) - 10 gives the same result as _______. + - 10 7) Adding -6 gives the same result as ________________ ______. subtracting + 6
Making Connections 8) Slim Jim claims that - - 5 gives the same result as + 5. a) Is this a true or false statement? ______________ b) Explain how you know you are correct. ________________________________________________ ________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ TRUE I know that - - 5 means to subtract 5 negatives. Taking out 5 negatives gives the same result as adding in 5 positives. Both strategies make the “soup” hotter by 5.
= = = = 6 1) 1 + 5 = ___ 2) 4 + 3 = ___ 7 3) -1 + -5 = ___ -6 1) 1 + 5 = ___ 2) 4 + 3 = ___ 7 = = + + + + + + + + + + + + + + + + + + + + + + + + + + 3) -1 + -5 = ___ -6 4) -4 + -3 = ___ -7 = = - - - - - - - - - - - - - - - - - - - - - - - - - -
Add the numbers together. What type of cubes are in the cauldron for #1-2? What type of cubes are in the cauldron for #3-4? 7) Look to find a shortcut for solving the problems above. What is a faster way than drawing the hot and cold cubes? 8) In the problems above (1-4), what is a trick for finding out whether the answer is going to be positive or negative? All hot cubes All cold cubes Add the numbers together. If you are adding together all hot cubes, the answer will be positive. If you are adding together all cold cubes, the answer will be negative.
= = = = 1) -1 + 5 = ___ 4 2) -4 + 3 = ___ -1 3) 1 + -5 = ___ -4 1) -1 + 5 = ___ 4 2) -4 + 3 = ___ -1 = = + - - - + + + - - + + + - - - - - + + + + + + + + + 3) 1 + -5 = ___ -4 4) 4 + -3 = ___ 1 = = + + + + - - + + - + + - - - + + - - - - - - - - - -
The cauldron has a mixture of hot and cold cubes. 12) What types of cubes are in the cauldron in all four problems above? 13) Look to find a shortcut for solving the problems above. What is a faster way than drawing the hot and cold cubes? 14) In the problems above (8-11), what is a trick for finding out whether the answer is going to be positive or negative? 15) Is the shortcut for these problems (8-11) the same as the shortcut for the problems on the front page (1-4)? Why or why not? The cauldron has a mixture of hot and cold cubes. Subtract the numbers! If you have more cold cubes, the answer is negative. If you have more hot cubes, the answer is positive. No, they are not the same. When we have all the same style of cubes, we add the numbers. When we have a mixture of cubes, we subtract the numbers.
= -7 1) -4 + -3 = ___ 1) 2) 3) 4) -4 + -3 Same -7 Negative 1) -4 + -3 = ___ = Same or Different Signs Sum Positive or negative answer? 1) 2) 3) 4) -4 + -3 Same -7 Negative