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 Algebra Syllabus - Class 6 & 7 A. Participants engage in investigations of Equalities and Inequalities using graphing software Participants should choose investigations that involve: Recognizing and applying Properties of Equality to solve equations in one variable and to understand the behavior of special case equations (e.g., absolute value, radical, factored equations equal to zero); Given an application problem, identifying and applying the appropriate common formula for distance, Pythagorean Theorem, Area, Circumference/perimeter, interest, and slope; Representing and comparing solutions of equations and inequalities (on number lines). Week 6: Choose from investigations focused on Properties of Equality Properties of Equality Solve for a variable in terms of other variables Application Problems using Common Formulas Twice Reflected Over Parallel Lines (Distance) Water Stop (Distance) Altitude to the Hypotenuse (Pythagorean Theorem) Hypatia's Triumph (Pythagorean Theorem) Heron's Area (Area) Minimum Perimeters (Area) Biggie Size It (Area, Circumference/perimeter) Changes in the Circumference (Circumference/perimeter) Tangential Circles (Circumference/perimeter) Tripling Perimeter (Circumference/perimeter) Choosing a Loan (Interest) Catching up in Savings (Interest) Specific Slopes (Slope) The Slope of a Curve (Slope) Week 7: Choose from investigations focused on Equations and Inequalities in one variable Inequalities Special Case Equations Absolute Value Functions and Transformations (Absolute Value) End Behavior (Radical) Reciprocal Functions (Radical) Reciprocal Sums (Radical) Using Roots to Generate an Equation (Factored equations equal to 0) B. Participants add write-ups to their online portfolios. C. Revisit and revise a write-up Additional Resources for Week 6 & 7 Dictionary Terms with Comprehension Activities External Resources Return to the Algebra Syllabus.