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Curriculum Resources Course Map This Course: includes Problem Solving Teacher: Mona Schraer Critical Concepts 4 Algebra I Algebra Connections Cognitive.

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Presentation on theme: "Curriculum Resources Course Map This Course: includes Problem Solving Teacher: Mona Schraer Critical Concepts 4 Algebra I Algebra Connections Cognitive."— Presentation transcript:

1 Curriculum Resources Course Map This Course: includes Problem Solving Teacher: Mona Schraer Critical Concepts 4 Algebra I Algebra Connections Cognitive Tutor Guess and check Drawing a graph Working backwards Collecting data Finding patterns Problem Solving: Chapter 1 (3 wks) Solving Equations: Chapter 2 (3 wks) Extension: solving for x using opp. Oper & formal proportions y=mx+b: Chapter 4 Proportions: Chapter 5 Systems of equations: Chapter 6 Slope: Chapter 7 Factor Quadraticsexponents Algebraic propertiessquare roots Solve linear equationssystems of linear equations Inequalitiesslope Equation of a linesolve graphically Graph equationsquadratic equations Exponential equationsreal numbers Graphs and Equations: Chapter 3 Inequalities: Chapter 9 Learned in these Units Quadratics: chapter 8 1. Test Review 1. Reflective Writing1. Turn Talk 2. Unit Organizer 2. Cornell Notes2. Team Work 3. Cognitive Tutor 3. Problem Solving3. White Board 4. Clickers & Slides

2 Teacher: Ms. Schraer Time: The Course Organizer Student: Course Dates: This Course: Course Questions: is about Course Standards: Algebra One 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. 1.How can data be used to solve a problem 2.What is the relationship between an equation and its graph? 3.How can I write and simplify algebraic equations? 4.How can data be represented in multiple forms 5.How can I solve linear proportional and quadratic equations? 6.What steps do you take to solve word problems? 7.How do you determine the best method for solving systems of equations? 8.How do you determine the most effective way to solve quadratic equations? Course Assessments: Content & Process: Concept Mastery exams 50% Practice clswk & hmwk 25% Application problem solving 15% Math Writing journal & notes 10% DayActivity MondayTurn in weekly work TuesdayNotes WednesdayWorld Cup Cognitive Tutor ThursdayQuiz FridayMr. Winn Cognitive Tutor

3 NAME DATE The Unit Organizer CURRENT UNIT is about... Last Unit:SCIENTIFIC NOTATION Next Unit:SOLVING EQUATIONS ALGEBRA I That involve Unit Questions: Current Unit: PROBLEM SOLVING: CH 1 That involve 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 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? DRAWING A GRAPH:1.1.2 Eucalyptus Grove Labeling and reading points A point conveys two pieces of information Continuous graph conveys a trend 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 WORKING BACKWARDS No specific section - problems threaded throughout. FINDING PATTERNS: 1.1.4 Tile Patterns Identify linear patterns Extend a tile pattern Generalize the geometric description of the pattern Making ratios Then using these ratios to build proportions and solve problems Teacher version

4 NAME DATE The Unit Organizer LAST UNIT CURRENT UNIT NEXT UNIT UNIT SELF- TEST QUESTIONS is about... Student Activities or Assignments CURRENT UNIT 1 32 Problem Solving Algebra Chapter 2: Proportions Guess & Check Collecting Data Working Backwards Such as Drawing A Graph Such as Methods for solving problems Finding a Pattern 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? Student version

5 NAME DATE The Unit Organizer BIGGER PICTURE LAST UNIT/Experience CURRENT UNIT NEXT UNIT/Experience UNIT SELF-TEST QUESTIONS is about... UNIT RELATIONSHIPS Student Activities or Assignments UNIT MAP CURRENT UNIT 1 32 4 5 6 7 8 Algebra Tiles Tile Poster Cognitive Tutor Unit 5 Problem Solving Solving Equations: Chapter 2 Algebra I Graphs and Equations Make connections Generalizing and extending 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? Proportions Simplify Expressions with tiles Solve equations with tiles Compare expressions using tiles Using variables When you to in Solve equations with algebraic steps to

6 NAME DATE The Unit Organizer LAST UNIT/Experience CURRENT UNIT NEXT UNIT/Experience UNIT SELF-TEST QUESTIONS is about... UNIT RELATIONSHIPS Student Activities or Assignments UNIT MAP CURRENT UNIT 1 32 5 6 7 8 Variables & Proportions Graphing: Chapter 3 Algebra I Systems of Equations Make connections Generalizin g and extending 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. Number of Solutions Tables Equations Graphs Representing Data with With a Solving Equations Used for

7 NAME DATE The Unit Organizer BIGGER PICTURE LAST UNIT CURRENT UNIT NEXT UNIT UNIT SELF-TEST QUESTIONS is about... Student Activities or Assignments UNIT MAP CURRENT UNIT Linear Relationships Chapter 4: Multiple Representations Algebra I Graph Slope: Represented 3 ways Math Web Which Have a Tile Pattern Challenge Math Web Poster Shown On a Shown On a Point of Intersection of a linear system Algebraic Solution for a Linear System With the With a Linear Equation Essay Proportions Linear Equations & Systems Where You can 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? Starting Point: b Finding y=mx+b Final Thoughts…

8 NAME DATE The Unit Organizer BIGGER PICTURE LAST UNIT CURRENT UNIT NEXT UNIT UNIT SELF-TEST QUESTIONS is about... Student Activities or Assignments UNIT MAP CURRENT UNIT Linear Systems Chapter 5: Multiplication and Proportions Algebra I Multiplying Binomials Area Sum and Product Solve for Y using So you can That involve Proportions That involve Linear Systems Simplifying Algebraic Equations So you can 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? Solve one variable Equations Final Thoughts…

9 NAME DATE The Unit Organizer BIGGER PICTURE LAST UNIT CURRENT UNIT NEXT UNIT UNIT SELF-TEST QUESTIONS is about... Student Activities or Assignments CURRENT UNIT Multiplication and Proportions Chapter 6: Systems of Equations Algebra I Elimination Substitution cards Essay Writing Mathematical Sentences from real life situations Substitution by Using Choosing the Best Method By Quadratics Solving any system That has a 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? Graphical Solution Final Thoughts…

10 NAME DATE The Unit Organizer BIGGER PICTURE LAST UNIT CURRENT UNIT NEXT UNIT UNIT SELF-TEST QUESTIONS is about... Student Activities or Assignments UNIT MAP CURRENT UNIT Linear Systems Chapter 8 Algebra I Parabola FactoringFind Solutions Equation Zero Product Property Which involve Which Have an Factoring Diamond Quadratic Web That use the Where You can Quadratic Formula Real Life Which Use the Which are found in Line Factory Bridge Project Inequalities Quadratics That look Like a Make connections Generalizing Extending Applying 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?

11 NAME DATE The Unit Organizer BIGGER PICTURE LAST UNIT CURRENT UNIT NEXT UNIT UNIT SELF-TEST QUESTIONS is about... Student Activities or Assignments UNIT MAP CURRENT UNIT Quadratics Chapter 9: Inequalities Algebra I Two Variables Graphs One Variable That have That are Human Number LIne Perfect Graph That are On Linear Systems That are All Graphs Poster Geometry Solving Inequalities Make connections Generalizing Extending Applying 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?

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


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