Algebra I Unit #1: Expressions, Equations, and Functions Essential Questions: Writing andwrite Evaluating Algebraican Expressions 1)1) How do you and evaluate algebraic expression? 2) Using Expressions to Write Equations and Inequalities 2) How do you use expressions to write equations and inequalities? 3) What can be represented by a function and why? (Represent the function in at least 3 different ways). Vocab: variable algebraic expression power, exponent base inequality order of operations rate, unit rate open sentence equation precision solution of an equation formula function domain range independent variable dependent variable relation significant digits Khan Academy Sections: Evaluating Expressions in One Variable, Order of operations, Writing Expressions, Understanding Function Notation, Domain and Range, Units, Significant Figures, Equations from Tables. Homework Check 5 points 4 points Algebra I Section/Lesson Assigned Problems 3 points Day 1 Day 2 Pre-Test/Word Walls/Journal Questions Word Wall 1.1 Evaluate Expressions 1.2 Apply order of Operations Pages 5-7 x: 1, 12-14, 24, 25, 32-44even, 48 (15 total) y: 1, 2, 8-14 even, 24, 25, 28-44 even, 49 (18 total) How do you use order of operations to evaluate an expression? Khan: Order of Operations How do you evaluate algebraic expressions and powers? Khan: Evaluating Expressions in One Variable Day 3 1.3 Write Expressions *How do you write an expression to represent a real-world situation? Khan: Writing Expressions Pages 10-12 x: 2, 10-18 even, 20, 24-30 even, , 32, 33 (14 total) y: 1, 2, 8-18even, 21-29odd, 32, 35 (15 total) Journal Questions #1, #2, #9 Pages 18-20 x: 9-12, 18-26, 29, 32 (15 total) y: 4-12even, 13-18, 22-25, 31 (16 total) Day 4 1.4 Write Equations and Inequalities *How do you write equations and inequalities? Pages 24-26 x: 2, 4-10even, 12, 20-28even, 40, 43 (13 total) y: 2, 3-9odd, 13, 17-27odd, 39, 42 (14 total) Journal Question #3 Day 5 Quiz Lessons 1.1-1.4 Work on Journal Questions Journal Questions: 6, 7 Day 6 Polya’s Problem Solving Strategies Everyone: WS *How can different problem solving strategies be used to solve word problems? What does a good journal question response look like? Journal Question #4 Day 7 Day 8 1.7 Represent Functions as Rules and Tables (#1) Pages 44-46 *How do you represent functions as tables and rules? x: 1-13, 24 (14 total) y: 1-13, 23 (14 total) Khan: Equations from tables, Understanding Function Notation 1.7 Represent Functions as Rules and Tables (#2) 1.8 Extension: Determine whether a relation is a function. *How do you determine if a relation is a function? Pages 44-46 Everyone: 14-21, 25 Page 56 1-6 (15 total) Journal Question #5, #8 Day 9 1.8 Represent Functions as Graphs Pages 52-54 *How do you represent functions as graphs? x: 1, 6-8, 11, 12, 16, 19, 39(quiz) (15 total) y: 1, 4-12 evens, 16, 19, 19(quiz) (17 total) Khan: Domain and Range Journal Question #10 Day 10 Quiz Lessons 1.7-1.8 Day 11 Journal Question #7 Test Review No Stamp Needed Day 12 Unit 1 Test No Stamp Needed Journal Questions Due Today Chapter 1 Journal Questions Book problems (2 points each): 1) p7 #54 (a-c) 2) p12 #39 3) p26 #46 4) p32 #20 (a &b) 5) p46 #28 Extra Credit p.57 #3 ACT problems (2 points each): 6) Danielle spends her summers working as a baby sitter for families in the neighborhood. She began one day with $20, and then she worked for 4 hours in the morning at $10 per hour and received a $5 tip. In the afternoon, she worked for 3 more hours at $12 per hour but needed to pay $7 to take a cab home. How much money did she have at the end of the day? a) $74 b) $94 c) $104 d) $ 108 e) $ 118 7) If you double a number and then subtract 6, the result is the same as if you add 18 to the same number and then multiply what you get by -4. What is the result when you add 14 to the number? a) -13 b) -3 c) 3 d) 13 e) 23 8) The function y = 2x + 4 has a domain of 2, 3, 5, 7, and 8. Which number is not in the range of the function? a) 8 b) 12 9) The expression 5 a) - 4 c) 18 2−12÷2 −(−2)2 5 b) 4 d) 20 is equal to: c) -1 d) 1 e) -0.5 10) Which is a rule for the function given by the input-output table? Input, x Output, y a) y = x – 3 8 5 10 7 b) y = x – 2 12 9 c) y = x + 3 14 11 d) y = x + 2