Algebra I, Unit I Name:_______________________________ Mrs. Cooper Period: ________ Relationships between Quantities and Reasoning with Equations Topic 1: Linear Equations in One Variable Topic 2: Linear Inequalities in One Variable Topic 3: Exponential Equations in One Variable Essential Questions How are equations and inequalities used to solve real world problems? When is it advantageous to represent relationships between quantities symbolically? numerically? graphically? When and how is mathematics used in solving real world problems? How can the structure of expressions/equations/inequalities, units of measure used, and mathematical properties help determine a solution strategy? What characteristics of problems would help to distinguish whether the situation could be modeled by a linear or an exponential model? What characteristics of problems would determine how to model the situation and develop a problem solving strategy? Why is it necessary to use and apply properties of equality when manipulating numeric or algebraic expressions? DATE HW 8/25 1 8/26 2 U1 T1 L1 U1 T1 L2 Lesson Getting to know each other and the course Preassess prealgebra equations solving skills Topic 1 Lesson 1 Checkerboard Borders 8/27 3 U1 T1 L3 8/28 4 U1 T1 L3 8/29 5 U1 T1 L4 9/2 6 U1 T1 L4 9/3 7 U1 T1 L5 9/4 & 9/5 8 U1 T1 L5 / U1 T1 L6 Objectives Discussing equivalent expressions Simplifying expressions Use of variables Topic 1 Lesson3 Serving Up Symbols Students will be able to create expressions to model a given situation. Students will be able to interpret parts (e.g. factors, monomials) of expressions as symbolic representations of parts of pieces of a given area model. Students will be able to create expressions to model a given situation. Assignment Student info sheet signed Course expectation signed RSG #1 (Just the Ready, Go…Skip Set) RSG #1 (Set), RSG #2 ODDs ODDs Using variables to help write equations or to explain what an expression means in context Average vs. total Units Definitions -- Expression, Equation, Factor, Constant, Variable, Term, Monomial, Polynomial Students will be able to interpret parts (e.g. factors, monomials) of expressions as symbolic representations of a verbal situation. Topic 1 Lesson 4 Students will discover and apply rules for arithmetic operations with units to guide the problem solving process. Quiz #1 – Lessons 1-3 (Create expressions to a represent a given situation) RSG #4 Set and Go (Skip Ready) RSG #4 Ready The students will create and solve linear equations in one variable. RSG #5 Examining Units Units of expressions – adding, multiplying, dividing Average, ratio Topic 1 Lesson 5 Cafeteria Actions and Reactions Keeping equations balanced Undoing operations Adapted from T.W. Pyle Middle School The students will describe the structure of a linear equation and use this structure to devise a plan for solving the equation. The students will carry out, describe and justify each step of the plan for solving equations in one variable. The students will explain the meaning of solutions to equations in one variable using the context of the problem. RSG #3 GO 9/4 HW Variables on both sides worksheet 9/5 multi-step equation worksheet 9/10 9 U1 T1 L6 Topic 1 Lesson 6 Elvira's Actions 10 U1 T1 L7 Solving literal equations Topic 1 Lesson 7 Solving Equations Literally 11 Solving literal equations and similarities to one variable equations 12 13 REVIEW 14 Topic 2 Lesson 1 Cafeteria Conundrums 15 Formative Assessment (Not reassessable) Writing inequalities given written statements U1 T2 L1 16 U1 T2 L2 17 Topic 2 Lesson2 Greater Than Given an inequality, decide which quantity is greater U1 T2 L2 18 U1 T2 L3 The students will interpret the meaning of expressions by attending to the units associated with each of the variables of a literal equation. The students will solve literal equations. The students will convert literal equations to highlight a specific variable. RSG 6 RSG #7 Review Guide Quiz #2 – Lesson 4-5 (Create and solve linear equations in one variable) Quiz #3 – Lesson 5 (Describe the structure of a linear equation to devise a plan for solving an equation) U1 T1 L7 U1 T2 L1 The students will convert literal equations to highlight a specific variable. Topic 2 Lesson 3 Taking Sides Explain why the steps are correct or not 19 U1 T2 L3 Quiz #4 – Lesson 6-7 (Literal equations) Unit 1 Topic 1 – Lessons 1-7 TBD RSG #8 ready, set (there is no go) Students will be able to create inequalities in one variable to represent a given context. RSG #9 Students will be able to analyze test for mathematical meaning. Students will be able to construct arguments to justify their reasoning in inequality problems. TBD Students will be able to solve inequalities for one variable. Students will be able to construct arguments to justify their reasoning in solving inequalities. Students will be able to articulate the differences and similarities in solving equations and solving inequalities. TBD TBD Getting Ready #10 TBD Quiz #5 – Lessons 1-2 Create inequalities in one variable to represent a given context 20 Review Inequalities Project 21 Formative Assessment (Not reassessable) 1 22 Properties of Exponents 23 Topic 3 Lesson 1 Bacteria in the Cafeteria (Part1) U1 T3 L1 Pre-assessment on properties of powers Understanding exponential growth Adapted from T.W. Pyle Middle School Assessment – Lessons 1-3 Topic 2/ Inequalities Project Continue Inequalities Project Due 9/29 Continue Inequalities Project Due 9/29 Properties of Exponents Practice Students will be able to construct argument to justify their reasoning in problems involving exponential expressions and equations. Students will be able to articulate the differences and similarities in solving linear and exponential equations. Continue Inequalities Project Due 9/29 TBD 24 U1 T3 L2 25 U1 T3 L2 26 U1 T3 L3 27 U1 T3 L3 Solving simple exponential equations by creating a common base. Common misconceptions Topic 3 Lesson 2 Bacteria in the Cafeteria (Part2) Rewriting with unlike bases Solving equations by creating common bases Topic 3 Lesson 3 Bacteria in the Cafeteria (Part3) Solving exponential word problems Focus on mistakes and how to correct? Students will be able to construct argument to justify their reasoning in problems involving exponential expressions and equations. Students will be able to construct argument to justify their reasoning in problems involving exponential expressions and equations. TBD Problem Solving Practice Exponential Equations Exponentials Equations Practice TBD Students will be able to articulate the differences and similarities in solving linear and exponential equations. Quiz #6 – Lessons 1-2 (Justify their reasoning involving exponential expression and equations) 28 Review Day 29 Assessment (Not reassessable) Summative Review Packet Assessment – Lesson 1-3 Topic 3 There will also be 3-5 Exit Tickets. Adapted from T.W. Pyle Middle School
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