DUE TODAY Pg. 184 Haybaler POW Problem statement Process Students present KEEP your work- whole POW due next class
Due Next Class “The Haybaler Problem”, pg. 184 First draft- ALL FIVE PARTS 1)Problem Statement √ done 2)Process…. . Finish your thoughts 3)Solution 4)Extension 5)Self Assessment
Objective - Students will be able to write verbal descriptions for algebraic expressions
Agenda Warm Up/ Announcements Haybaler Problem, pg. 184 Students present Ox Expressions, pg. 198 – 199 debrief Ox Expressions at Home, pg. 200 – 201 Exit Quiz
Algebraic Expressions and Summary Phrases • Situation - total number of kids on a street • Let ____ = avg. # of kids per house • Let ____ = # houses on a street • THINK- #’s…. Say 2 kids per house, 20 houses on a street, WHAT operation would you do to find the total # of kids?
Arithmetic (numbers) • 2 (20) = 40 kids on a street • What if there are 3 kids per house and 50 houses on a street? • 5 kids per house and 100 houses per street? • 2 kids per house and 30 houses per street?
what pattern do you see? • • 2 (20) = 40 3 (50) = 150 5 (100) = 500 2 (30) = 60 What did we do? what do 40, 150, 500 and 60 represent?
Now algebra (generalization w/ variables) • KH = # kids on a street NOT- # kids in a house times number of houses on a street…. • NOTICE--- no “HOUSE” in summary phrase --- UNITS cancel!!
Summary phrase algebraic expression Steps: 1) Define your variables 2) Think of a numerical example to help you think what math operation is involved 3) Write an algebraic expression using your variables to describe the situation
Let the “units” give clues…. • Think about the UNITS to help you understand the meaning of a summary phrase!! • 2 men/ family x 25 families / train = 50 men per train • “per” means DIVIDE in math language!! • UNITS cancel just like numbers!
Ox Expressions, pg. 198 Find a summary phrase for the following algebraic expressions: 1) M + W 2) F (M + W) 3) W + C 4) F(W + C) 5) (M + W + C) 6) F (M + W + C)
Ox Expressions Debrief • 1) what is a summary phrase for FC? • 2) What does M + W + C represent in terms of the problem? • 3)Which letters appear most frequently in the expressions? • 4) What makes an expression meaningful? • 5) Do you think there are more meaningful expressions?
Ox Expressions at Home • READ pg. 200 • Be ready to summarize the “gist” of the activity – lucky winner will answer • DO questions 1, 3, 5, 7, pg. 201 for CW • Be prepared to present your work!
Ox Expressions at Home Debrief • Which is easier for you, working with or without the numerical examples? • Total amount of water consumed in a day by a family = B(W + M + C) • How could you get the total amount of water by finding the separate totals for the women, for the men and for the children?
Equivalent expressions- math expressions that look different but represent the same value B (W + M + C) = BW + BM + BC This is an example of the distributive property! Check it out! Try some #’s and see if it is true? ?
Exit QUIZ Write summary phrase for each of the following algebraic expressions: B = # of bananas (5 bananas) A = # of apples (4 apples) D = cost for a piece of fruit ($1 each) YOUR ANSWER = use words to describe what each expression MEANS. 1. 2. 3. 4. A+B DB AD D ( A + B)
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