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How can algebraic equations and inequalities be used to solve problems? |
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3. Student Learning Map
- Topic:2) Linear Equations and Inequalities (Including Graphing)
- Subject(s):Math
- Days:39
- Grade(s):10, 11, 12
Key Learning:
Equations and inequalities can be displayed on a coordinate plane and used to solve real-world problems.
Unit Essential Question(s):
Concept: Solving Linear Equations
Pearson: 2.1, 2.2
Glencoe: 3.2, 3.3, 3.4, 3.6, 3.8, 3.9
Concept: Solving Linear Inequalities
Pearson: 2.5
Glencoe: 4.3, 4.4, 4.5
Lesson Essential Question(s):What is the process for finding the value that makes a statement true? (A)
(ET)How do we apply equations to solve real-world problems? (ET)
Lesson Essential Question(s):What are the similarities and differences between solving equations and inequalities?
(A)Concept: Graphing Linear Equations and Inequalities
Pearson: 3.3 through 3.8
Glencoe: 4.3, 4.4, 4.5, 4.7
Concept: Solving Systems of Linear Equations
Pearson: 4.2, 4.3, 4.4
Glencoe: 13.5
Concept: Lesson Essential Question(s):What are the ways to find the solution to a system of equations? (A)
(ET)Lesson Essential Question(s):Vocabulary:coordinate plane, ordered pairs (coordinates), quadrants, abscissa, ordinate, origin, x-axis, y-axis, standard form, slope, slope-intercept form, point-slope form, y-intercept
Vocabulary:
Additional Information:
This is a long unit. It may be broken up to do graphing separately or broken up by multiple assessments. Suggestion for Liberal Arts book (Pearson/Prentice Hall): Teach Chapter 4 after Geometry units (chapters 7 through 13) if chapters 2 and 3 seem to take a long time.
Resources:
Prentice-Hall Examview Pro test generator for Pre-Algebra and Algebra I to generate practice worksheets
Liberal Arts Math: A Bridge from Algebra to Geometry (Pearson/Prentice Hall) Chapters 2 through 4
Integrated Math Course 1(Glencoe) Chapters 3 and 4
Pasco Math Performance Tasks (PMPT): Business Matrices, Collecting Creatures, Election Shape Up, Fund Raising, Patterning, Puzzling Scales, Tree Growth, What Does Your Slope Tell You
Also include Language Arts Benchmarks: LA.910.1.6.1 (use of vocabulary), LA.910.1.6.2 (read and discuss text), LA.910.1.6.5 (relate new vocabulary), and LA.910.3.1.3 (use organizational strategies and tools (e.g., technology, spreadsheet, outline, chart, table, graph, Venn Diagram)).
Resources:
Acquisition Lesson:
Extending Thinking Lesson: