find the slope of this line. …today’s objective is a mystery! simplify (-5) 2 a 3 a 2 Page XX of your INB
ITEMS of BUSINESS REWORK is due Friday Feb 27 & Monday March 2. Last day to retake Ch 10 Test is Monday March 9 th.
13.1 Contract & Expand Expressions
Compute please. 7 ÷7 8 ÷ ÷ 5 ÷ 4 ÷ 11 Should you SIMPLIFY? Why not? Makes less work. Easier to calculate. Less likely to make mistakes. WHY? Rearrange. Combine. Eliminate. HOW? Would you?Could you?
Let’s review your homework. BIG IDEA #1BIG IDEA #2 ab = ba 34 = 43 7m = m7 kyz = zky COMMUTATIVE PROPERTY
SIMPLIFY. Then compute. 7 ÷7 8 ÷ ÷ 5 ÷ 4 ÷ 11
CHECK YOUR HOMEWORK
BIG IDEA 1 2 or Which is “ok” to do? Justify your answer. 15. It’s “ok” to cancel with PRODUCTS but NOT WITH SUMS! 2 = 1 3 ≠ 1 2
BIG IDEA 2 vs vs
No groups today. simplify (-5) 2 a 3 a 2 Page XX of your INB Take notes.
Which would you choose? Day 1: 3¢ Day 2: 3 ¢ x 3 ¢ = 9¢ Day 3: 3 ¢ x 3 ¢ x 3 ¢ = 27¢ Day 4: 3 ¢ x 3 ¢ x 3 ¢ x 3 ¢ = 81¢ Day 1: $3 million Day 2: $3 + 3= $6 million Day 3: $3+$3+$3= $9 mil Day 5: 3 5 = 243¢ = $2.43 Day 6: 3 6 = 729¢ = $7.29
Which would you choose? Day 10: 3x10=$30 mil Day 10: 3 10 = Day 15: 3x15=$45 mil Day 15: 3 15 = Day 20: 3x20=$60 mil Day 20: 3 20 = Day 25: 3x25=$75 mil Day 25: 3 25 = Day 30: 3x30=$90 mil Day 30: 3 30 = $ $143, ≈$8½ BILLION! ≈ $35 MILLION $34,867, $8,472,886, $2,059,811,320, ≈$2 TRILLION!
MORAL of the story...
PARTNER PROOFS Use your calculator to compute: 12 5 = 248, = 244,140, = 6,561 ½ 19 =
Take notes. Write this down. Hurry!! yyyyyyyyyy 7 8 y 10 EXPONENTS are short-hand for repeated MULTIPLICATION.
Do problems 1-7 HOMEWORK PROBLEMS
Do problems 8-12 HOMEWORK PROBLEMS =
MAKING COMPARISONS How much bigger is than We make comparisons by DIVISION.
Do problems HOMEWORK PROBLEMS
Remember our story?
OR
Exponents are CLINGY. They CLING only to the number they are next to.
Use your communicators! 2323 = 222 a3a3 = a a a 5m 3 = 5mmm (5m) 3 = 5m5m5m 5a 3 b = 5aaab 5a 3 b 3 = 5aaabbb (5a) 3 b 3 = 5a5a5abbb 32m3n432m3n4 = 33mmmnnnn
Use your communicators! 2 = 22 = = - 22 = -4 (-2) 2 = (- 2)(-2) = 4 (-2m) 2 = (- 2m)(-2m) = 4m2
Use your communicators! -4 2 = - 44 = -16 (-4) 2 = (-4)(-4)= 16 -3a 2 = -3aa = -3a 2 (-3a) 2 = (-3a)(-3a) = 9a 2
HOMEWORK PROBLEMS Do problems 17-22
HOMEWORK PROBLEMS
simplify (-5) 2 a 3 a 2
SHOW YOUR WORK Worksheet 13.1 Expand & Contract Expressions