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Curriculum Resources

Teacher: Mona Schraer. Course Map. This Course:. Algebra I. includes. Problem Solving. Curriculum Resources. Guess and check Drawing a graph Working backwards Collecting data Finding patterns. Algebra Connections Cognitive Tutor.

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Curriculum Resources

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  1. Teacher: Mona Schraer Course Map This Course: Algebra I includes Problem Solving Curriculum Resources Guess and check Drawing a graph Working backwards Collecting data Finding patterns Algebra Connections Cognitive Tutor 1. Test Review 1. Reflective Writing 1. Turn Talk 2. Unit Organizer 2. Cornell Notes 2. Team Work 3. Cognitive Tutor 3. Problem Solving 3. White Board 4. Clickers & Slides 4 Critical Concepts Factor Quadratics exponents Algebraic properties square roots Solve linear equations systems of linear equations Inequalities slope Equation of a line solve graphically Graph equations quadratic equations Exponential equations real numbers Problem Solving: Chapter 1 (3 wks) Inequalities: Chapter 9 Learned in these Units Solving Equations: Chapter 2 (3 wks) Extension: solving for x using opp. Oper & formal proportions Quadratics: chapter 8 Slope: Chapter 7 Proportions: Chapter 5 Systems of equations: Chapter 6 y=mx+b: Chapter 4 Graphs and Equations: Chapter 3

  2. The Course Organizer Teacher: Ms. Schraer Student: Time: Course Dates: Course Standards: This Course: Algebra One Course Assessments: Content & Process: Concept Mastery exams 50% Practice clswk & hmwk 25% Application problem solving 15% Math Writing journal & notes 10% Using Algebraic tools to set up and solve different types of expressions, equations, and inequalities with variables and numbers and then demonstrating solutions mathematically and graphically. is about Course Questions: How can data be used to solve a problem What is the relationship between an equation and its graph? How can I write and simplify algebraic equations? How can data be represented in multiple forms How can I solve linear proportional and quadratic equations? What steps do you take to solve word problems? How do you determine the best method for solving systems of equations? How do you determine the most effective way to solve quadratic equations?

  3. NAME The Unit Organizer ALGEBRA I DATE Last Unit:SCIENTIFIC NOTATION Current Unit:PROBLEM SOLVING: CH 1 CURRENT UNIT Next Unit:SOLVING EQUATIONS is about... GUESS AND CHECK: 1.2.1 The Apartment Solve complex problems using guess and check Analyze multiple strategies for organizing their guesses Make a guess and check table WORKING BACKWARDS No specific section - problems threaded throughout. Making ratios Then using these ratios to build proportions and solve problems That involve That involve That involve Teacher version That involve DRAWING A GRAPH:1.1.2 Eucalyptus Grove Labeling and reading points A point conveys two pieces of information Continuous graph conveys a trend FINDING PATTERNS: 1.1.4 Tile Patterns Identify linear patterns Extend a tile pattern Generalize the geometric description of the pattern COLLECTING DATA:1.1.3 Newton’s Revenge Using scatter plots for organizing data and making predictions It is important to scale the axis of a graph Unit Questions: What is algebra? How can I solve a problem that I have never seen before? How can I organize my work? How can I describe my process?

  4. Student version NAME The Unit Organizer DATE Algebra CURRENT UNIT NEXT UNIT LAST UNIT 2 3 CURRENT UNIT 1 Problem Solving Chapter 2: Proportions Student Activities or Assignments is about... Guess & Check Working Backwards Such as Methods for solving problems Such as Such as Such as Such as Drawing A Graph Finding a Pattern Collecting Data How can I solve a problem I have never seen before? How can I organize my work? How can I describe my process? What is Algebra? UNIT SELF-TEST QUESTIONS

  5. NAME The Unit Organizer 4 BIGGER PICTURE DATE Algebra I NEXT UNIT /Experience LAST UNIT /Experience 2 3 CURRENT UNIT CURRENT UNIT 1 Problem Solving Solving Equations: Chapter 2 Graphs and Equations Student Activities or Assignments 8 UNIT MAP is about... 5 Proportions Simplify Expressions with tiles Algebra Tiles Tile Poster Cognitive Tutor Unit 5 Using variables in When you When you to to Solve equations with algebraic steps Compare expressions using tiles Solve equations with tiles What is a variable? How can I get x alone? How can I solve for a variable? How many different ways can I write an expression? Is there more than one way to simplify? 6 Make connections Generalizing and extending UNIT SELF-TEST QUESTIONS RELATIONSHIPS UNIT 7

  6. NAME The Unit Organizer DATE Algebra I NEXT UNIT /Experience LAST UNIT /Experience 2 3 CURRENT UNIT CURRENT UNIT 1 Variables & Proportions Graphing: Chapter 3 Systems of Equations Student Activities or Assignments 8 UNIT MAP is about... 5 Tables Number of Solutions Representing Data With a with Used for with with Solving Equations Graphs Equations How do you find an equation from a table? How do you represent a situation using a table, an equation, and a graph? How do you choose the appropriate scale for your graph? What does it look like graphically when something has a solution and what does it mean for an equation to have no solution? How do you determine the number of solutions to an equation. Make connections Generalizing and extending 6 UNIT SELF-TEST QUESTIONS RELATIONSHIPS UNIT 7

  7. NAME The Unit Organizer BIGGER PICTURE DATE Algebra I NEXT UNIT LAST UNIT CURRENT UNIT CURRENT UNIT Linear Relationships Chapter 4: Multiple Representations Proportions UNIT MAP is about... Student Activities or Assignments Slope: Represented 3 ways Linear Equations & Systems Algebraic Solution for a Linear System Which Have a With a Tile Pattern Challenge Math Web Poster Where You can With the Shown On a Shown On a Starting Point: b Linear Equation Essay Point of Intersection of a linear system Math Web Graph Finding y=mx+b Final Thoughts… What do m & b tell you about a pattern or graph? How do you know if your equation is correct? How do you write an equation from a word problem? How do you find the point where two lines intersect? How do patterns show up in an equation, table, and graph? UNIT SELF-TEST QUESTIONS

  8. NAME The Unit Organizer BIGGER PICTURE DATE Algebra I NEXT UNIT LAST UNIT CURRENT UNIT CURRENT UNIT Linear Systems Chapter 5: Multiplication and Proportions Linear Systems UNIT MAP is about... Student Activities or Assignments Area Sum and Product Simplifying Algebraic Equations Proportions using That involve So you can That involve So you can Solve one variable Equations Solve for Y Multiplying Binomials Final Thoughts… How can I write area in different ways? How do I distribute an algebraic expression? How do I slve mulit-variable equations for one of the variables? How do I write and solve equations with equivalent ratios? UNIT SELF-TEST QUESTIONS

  9. NAME The Unit Organizer BIGGER PICTURE DATE Algebra I NEXT UNIT LAST UNIT CURRENT UNIT CURRENT UNIT Multiplication and Proportions Chapter 6: Systems of Equations Quadratics is about... Student Activities or Assignments Writing Mathematical Sentences from real life situations Solving any system Choosing the Best Method by By That has a Using Using Graphical Solution Substitution Elimination Final Thoughts… What does a solution to a system of equations represent? How can I check my answer? How do I know when there is no solution or infinite solutions to a system? How do you choose the best method for solving a linear system? UNIT SELF-TEST QUESTIONS

  10. NAME The Unit Organizer BIGGER PICTURE DATE Algebra I NEXT UNIT LAST UNIT CURRENT UNIT CURRENT UNIT Linear Systems Chapter 8 Inequalities UNIT MAP is about... Student Activities or Assignments Equation Quadratics Real Life Which Have an Which are found in Factoring Diamond That look Like a Which Use the Quadratic Formula Quadratic Web Parabola Which involve Where You can That use the Zero Product Property Factoring Find Solutions Line Factory Bridge Project How do you factor a quadratic expression completely? How do you know if there are roots to a quadratic equation? How do you find the roots of a quadratic equation? How can you predict what a parabola will look like? How can you find the equation of a parabola? What is special about zero? Make connections Generalizing Extending Applying UNIT SELF-TEST QUESTIONS

  11. NAME The Unit Organizer BIGGER PICTURE DATE Algebra I NEXT UNIT LAST UNIT CURRENT UNIT CURRENT UNIT Quadratics Chapter 9: Inequalities Geometry UNIT MAP is about... Student Activities or Assignments Solving Inequalities Linear Systems That are That are One Variable Human Number LIne That have That are On Perfect Graph Two Variables Graphs All Graphs Poster How do you write inequalities to represent a word problem? How do you solve inequalities and represent the solution on a number line? How do you represent the solution of a linear inequality on a graph? How do you graph a system of inequalities? Make connections Generalizing Extending Applying UNIT SELF-TEST QUESTIONS

  12. Assessment Why assess? Purpose Who uses results Assess What? Clear Learning Targets Clear and good Skills, vocabulary, et. determines determines Assessment Design (how assess) Method Written well Avoid bias Need to Decide How to Communicate Results How manage? Report results to who?

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