Unit Organizers feel free to expand edit or
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Unit Organizers feel free to expand, edit, or transform any of these for your own use.
Algebra I-2 Course Map Mathematical Practices 1. 2. 3. 4. 5. 6. 7. 8. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively Construct viable arguments and critic the reasoning of others. Model with mathematics. Use appropriate tools strategically. Attend to precision. Look for and make use of structure. Look for and express regularity in repeated reasoning. Descriptive Statistics Modeling Stats Data (suppl: 1 variable) Modeling Stats Data (suppl: 2 variable) Linear and Exponential Relationships Representing Linear Relationships with graphs, tables, and equations (chapter 4 & 7) Representing Exponential Functions Critical Concepts (Chapter 11 & Algebra 3 -4 book: ch 2&3) Comparing Linear, Quadratic, and Exponential functions Expressions and Equations Solving Systems of equations (chapter 6) Quadratic Functions and Modeling Graphing and Factoring Quadratic Equations (chapter 8 ) Solving and graphing Inequalities and systems of inequalities Relationships between Quantities and Reasoning with Equations Create equations using multiple representations (chapter 2, 3, 4) Solving Linear Equations & Quadratics when x^2 cancels out (chapter 1 -3 & 5) (Chapter 9) Simplifying and Solvng complex algebraic equations (chapter 10) Solving Complex Proportions and Converting Units (chapter 5 & suppl: dimensional analysis)
The Unit Organizer ALGEBRA 1 -2 LAST UNIT NEXT UNIT CURRENT UNIT none statistics: one variable is ab Supplemental Activities Graphical Representations: Histogram Box plot Line plot out. . . Data Distribution Representing Functions Interpreting the Shape Standard deviation Outlier Spread Center Summary statistics: UNIT SELF-TEST QUESTIONS Mean Median Mode Range Outlier Background knowledge 1. 2. 3. 4. 5. Why would you want to use a histogram instead of line plot? What measure of center is most useful for categorical data and why? When would you use median instead of mode or mean to measure the center? How could you describe a data set? What tools would you use? What does the shape of the graph tell you about the data?
The Unit Organizer ALGEBRA 1 -2 LAST UNIT Statistics Multiplication Representing Functions is ab Supplemental Activities out. . Table . Web: How they all relate Graphs, Tables, and Equations Graph Coordinate pair Independent variable Dependent variable Origin x and y axis quadrants UNIT SELF-TEST QUESTIONS NEXT UNIT CURRENT UNIT Situation Table Graph Equations Linear Exponential Quadratic m&b Background knowledge 1. 2. 3. 4. How do you identify growth in a table, graph, and an equation? How do you find the initial value (constant) in a table, graph, and an equation? How do you write an equation from a graph? A table? How do you make a table?
The Unit Organizer ALGEBRA 1 -2 LAST UNIT Representing Functions is ab Area Sum & Area Product Algebra Tiles Generic Rectangles Distributive Property UNIT SELF-TEST QUESTIONS Proportions Multiplication: chapter 5 Supplemental Activities 1. 2. 3. 4. NEXT UNIT CURRENT UNIT out. . . Representing equations in different forms Factors How do use distribution to rewrite an expression? How do you know when two terms have a common factor? How do you find factors of an expression that has numbers and variables? How do you solve multi-variable equation for one variable? Slope Intercept Form Standard Form Background knowledge
The Unit Organizer ALGEBRA 1 -2 LAST UNIT Multiplication System of Equations Proportions is ab Supplemental Activities Story of Eli: http: //blog. mrmeyer. com /? p=8154 NEXT UNIT CURRENT UNIT out. . Ratio Proportions in the Real World . Solve for Variables using proportions Formats (colon, fraction, word) Unit Conversions Yertle Turtle: http: //10 minutemath. blog spot. com/search? q=turtl e Direct Variation UNIT SELF-TEST QUESTIONS Similarity 1. 2. 3. 4. Solving proportions with expressions Cross multiplying What is direct variation? How do you convert units? How do you set up a proportion? How do you know when proportion is the proper method for solving a problem? Background knowledge
The Unit Organizer ALGEBRA 1 -2 LAST UNIT Proportions systems of equations: chapter 6 is ab Supplemental Activities Write an equation from a situation UNIT SELF-TEST QUESTIONS Define a Variable Identify initial value and slope 1. 2. 3. 4. 5. NEXT UNIT CURRENT UNIT out. . . Solving for (x, y) Linear Relationships No solution & All Numbers Parallel lines Coincide Substitution Graphing Elimination Equal Values Check solution intersect scalar multiplication What does the solution of a system of equations represent? How can you tell when a system has no solution or infinite solutions? When would you want to use elimination instead of substitution? Why is it better to solve a system algebraically rather than graphically? How do you check a solution to a linear system? Background knowledge
The Unit Organizer ALGEBRA 1 -2 LAST UNIT NEXT UNIT CURRENT UNIT linear systems Statistics Linear Relationships: chapter 7 is ab Supplemental Activities out. . Finding Slope of Parallel and Perpendicular Lines Slope UNIT SELF-TEST QUESTIONS Graph Equation Two Points 1. 2. 3. 4. Reciprocal opposite Trend lines Rates of Change Finding an Equation Prediction Δ y/ Δ x Positive Negative zero undefined Slope and a point Two points From a Graph From a table How to find the slope of a line given its equation its graph, or any two points on a line? How are slopes of parallel and perpendicular lines related? How do you find the slope of a line without graphing it? Name three considerations in deciding where to put a trend line? Background knowledge