Mrs. Rogers- Integrated Math3

1. Problem of the Day Mrs. Rogers- Integrated Math3 http://www.purplemath.com/modules/index.htm

2. Week 1 Wednesday • Simplify –| –3 |. http://www.purplemath.com/modules/absolute.htm

3. Week 1 Thursday • Simplify x6 * x5 x6 × x5 = (x6)(x5)         = (xxxxxx)(xxxxx)    (6 times, and then 5 times)             = xxxxxxxxxxx         (11 times)              = x11

4. Week 2 Monday • Simplify | 2 + 3(–4) | http://www.purplemath.com/modules/absolute.htm

5. Week 2 Monday • Simplify (3x3 + 3x2 – 4x + 5) + (x3 – 2x2 + x – 4) I can add horizontally: (3x3 + 3x2 – 4x + 5) + (x3 – 2x2 + x – 4)  =  3x3 + 3x2 – 4x + 5 + x3 – 2x2 + x – 4  =  3x3 + x3 + 3x2 – 2x2 – 4x + x + 5 – 4  =  4x3 + 1x2 – 3x + 1 ...or vertically: Either way, I get the same answer: 4x3 + 1x2 – 3x + 1 http://www.purplemath.com/modules/polyadd.htm

6. I just plug the coordinates into the Distance Formula: Week 2 Tuesday • Find the distance between the points •  (–2, –3) and (–4, 4) http://www.purplemath.com/modules/distform.htm

7. Week 2 Thursday • Simplify 3(x + 4) http://www.purplemath.com/modules/printpage.cgi?path=/modules/distform.htm

8. Week 2 Thursday • There are 16 ducks and 9 geese in a certain park. Express the ratio of ducks to geese in all three formats.

9. Week 3 Monday Simplify (–1)(–2)(–1)(–3)(–4)(–2)(–1) = (–1)(–2)(–1)(–3)(–4)(–2)(–1)     = (+1)(+2)(–1)(–3)(–4)(–2)(–1)     = (1)(2)(–1)(–3)(–4)(–2)(–1)     = (1)(2)(+1)(+3)(–4)(–2)(–1)     = (1)(2)(1)(3)(–4)(–2)(–1)     = (1)(2)(1)(3)(+4)(+2)(–1)     = (1)(2)(1)(3)(4)(2)(–1)     = (2)(3)(4)(2)(–1)     = 48(–1)     = –48

10. Week3 Tuesday • Write 0.000 000 000 043 6 in scientific notation. 4.36 × 10–11

11. Week 3 Wednesday • Use FOIL to simplify (x + 3)(x + 2) "first":  (x)(x) = x2"outer":  (x)(2) = 2x"inner":  (3)(x) = 3x"last":  (3)(2) = 6 So:    (x + 3)(x + 2) = x2 + 2x + 3x + 6 = x2 + 5x + 6

12. Week 3 Thursday http://www.purplemath.com/modules/solverad2.htm

13. Week 3 Friday http://www.purplemath.com/modules/radicals.htm

14. Week 4 Monday • Two consecutive numbers have a sum of 91. What are the numbers? http://www.hawaii.edu/suremath/k4_12dir/algebrahelp.html

15. Week 2 Tuesday • There are 6 pails, 3 of the pails are filled with water. Can you move only one pail and make a pattern of: full pail, empty pail, full pail, empty pail, full pail, empty pail? Solution to Pails of Water:Pour all of the water from the 2nd pail into the fifth pail.

16. Week 2 Wednesday http://sbstjohn.com/QODWebSite/PreElemAlg/alg_1011_f071.htm

17. Week 2 Thursday http://sbstjohn.com/QODWebSite/PlaneGeom/plane_1011_f064.htm

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