2.2+Inventing+a+New+Model+0910

. · 14/4/10 · SB  · **Big Idea: ** Negative numbers help us model many real world situations. · **Essential Question **: How can I add integers?  · **Notes from Class: ** 1. In order to add integers you need to know which symbol to use. 2. The number with the bigger absolute value gets the symbol. Example: -9+10=1 because the absolute value of ten is bigger 3. <span style="font-family: 'Times','serif'; font-size: 12pt;">Absolute value: A number’s distance away from zero. **__<span style="font-family: 'Times','serif'; font-size: 12.5pt;">Problem 2.2 __** <span style="font-family: 'Times','serif'; font-size: 12.5pt;"> **<span style="font-family: 'Times','serif'; font-size: 12.5pt;">A. ****<span style="font-family: 'Times','serif'; font-size: 12pt;">Use a chip board and black and red chips to find each sum. Draw a series of chip boards to illustrate your work. ** <span style="font-family: 'Times','serif'; font-size: 12pt;">1) -8+-7=-15  <span style="font-family: 'Times','serif'; font-size: 12pt;">2) -8+7= -1 <span style="font-family: 'Times','serif'; font-size: 12pt;">3) 8+-7= 1 <span style="font-family: 'Times','serif'; font-size: 12pt;">4) 8+7= 15 <span style="font-family: 'Times','serif'; font-size: 12pt;"> <span style="font-family: 'Times','serif'; font-size: 12pt;">1) See illustration<span style="font-family: 'Times','serif'; font-size: 12pt;"> <span style="font-family: 'Times','serif'; font-size: 12pt;">2) See illustration <span style="font-family: 'Times','serif'; font-size: 12pt;"> <span style="font-family: 'Times','serif'; font-size: 12pt;">1). 7+-10 <span style="font-family: 'Times','serif'; font-size: 12pt;">2). 15+-10 <span style="font-family: 'Times','serif'; font-size: 12pt;"> <span style="font-family: 'Times','serif'; font-size: 12pt;"> <span style="font-family: 'Times','serif'; font-size: 12pt;">1. 4 gives the integer -4 <span style="font-family: 'Times','serif'; font-size: 12pt;">2. -2+-3=-5 <span style="font-family: 'Times','serif'; font-size: 12pt;">3. 10+10=20 <span style="font-family: 'Times','serif'; font-size: 12pt;">4. A.9+-7=2 <span style="font-family: 'Times','serif'; font-size: 12pt;">B.-80+50=-30 <span style="font-family: 'Times','serif'; font-size: 12pt;">C. 35+-27=8 <span style="font-family: 'Times','serif'; font-size: 12pt;">D.-8+-5=-13
 * <span style="font-family: 'Times','serif'; font-size: 12.5pt;">B. ****<span style="font-family: 'Times','serif'; font-size: 12pt;">Find two combinations of black and red chips that will simplify to represent the given integer. Draw series of chip boards to prove that each combination works **<span style="font-family: 'Times','serif'; font-size: 12pt;">
 * <span style="font-family: 'Times','serif'; font-size: 12.5pt;">C. ****<span style="font-family: 'Times','serif'; font-size: 12pt;">Write each combination you found in part B as an addition sentence. **<span style="font-family: 'Times','serif'; font-size: 12pt;">
 * __<span style="font-family: 'Times','serif'; font-size: 12pt;">Problem 2.2 Follow up __**