5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 Assessment Framework Assessment Assignment Type Grading Source Estimated in-class time When? Diagnostic Assessment Unit 4 Diagnostic Test Traditional (zero weight) Curriculum Dept. created – see Dropbox < ½ block Beginning of unit
Mid-Unit Assessment Test Traditional Teacher created using “Assessments” in Agile Mind ½ to 1 Mid unit (optional, must have 3 tests per MP) End of Unit Assessment Unit 4 Assessment Test Traditional Curriculum Dept. created – distributed at end of unit 1 block End of unit Performance Task Unit 4 Performance Task1 Authentic Assessment Rubric constructed response (also see Dropbox) ½ block In topic 8 Performance Task Unit 4 Performance Task2 Authentic Assessment Rubric Topic constructed response (also see Dropbox) ½ block In 9 Quizzes Quiz Rubric or Traditional Teacher created or “Practice” in Agile Minds < ½ block Varies (must have 3 quizzes per MP) Scope and Sequence Overview Topic Name Agile Mind “Blocks”* Suggesting Pacing 12 Exponential Functions 7 2 to 3 days 13 Logarithmic Function 14 8 4 to 5 days 14 Using Logarithmic to solve equations 6 3 to 4 days Diagnostic Assessment ½ day Transition lesson ½ - 1 day Mid Unit Assessment 1 day End of Unit Assessment 1 day Performance Task 1 ½ day Performance Task 2 ½ day Review 1 day Total 17days *1 Agile Mind Block = 45 minutes Topic 12: Exponential functions Topic Objectives (Note: these are not in 3-part or SMART objective format) Formulate exponential relationships written in recursive notation Derive the formula for compound interest. Calculate compound interest yearly, monthly, weekly, daily Transform exponential function
F-LE A.4: For exponential models, express as a logarithm the solution to abct = d where a, c, and d are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology. Day 3 (Concept) Review: Properties of exponents New Use the concept of properties of exponents to derive the Properties of Logarithms Day 3 (Skills) Review Apply properties of logarithm New Use properties of logarithm to re-write logarithmic expressions *Explore: “Properties of logarithms” Page 1 - 10 Suggested assignment: SAS 3 Q6, 9, and 10a-c, and 15 More practice p7-12 F-LE A.4: For exponential models, express as a logarithm the solution to abct = d where a, c, and d are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology. Day 3 (Concept) Review: Parent function of the logarithmic function New Definition of natural log Base 10 Day 3 (Skills) Review Log exponent property Evaluating with logs New Evaluating with natural log and base 10 *Explore: “Properties of logarithm” Page 1 - 10 Suggested assignment: SAS 4 Q2, 7a-d, and 8
A.RE.D.11. Explain why the of the points where the graphs of the equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) = g(x); find the solutions approximately, e.g., using technology to graph the functions, make tables of values, or find successive approximations. Include cases where f(x) and/or g(x) are linear, polynomial, rational, absolute value, exponential, and logarithmic functions. Day1 (Concept) Review Multiple representations(tables and graphs) Exponential functions New Exponential equations Day 1 (Skills) Review Using multiple representations to represent linear and quadratic functions New Solving exponential equations using graphs and tables Day 1 (Material) Mind Topic 10 * Overview Pgs. 1 -3 * Exploring “Tables and graphs ” Pgs. 1-6 SAS 2: Q2, 5, 6, 7 F-LE A.4: For exponential models, express as a logarithm the solution to abct = d where a, c, and d are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology. A.RE.D.11. Explain why the of the points where the graphs of the equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) = g(x); find the solutions approximately, e.g., using technology to graph the functions, make tables of values, or find successive approximations. Include cases where f(x) and/or g(x) are linear, polynomial, rational, absolute value, exponential, and logarithmic functions. Day 2 (Concept) Review: Systems of linear equations Properties of logarithms New: Understand that solution of a logarithmic equation can be in the same manner as another equations Day 2 (Skills) Review Solving systems of linear equations by substitution New Solving exponential equations analytically Day 2 (Material) Agile Mind Topic 10 * Exploring “Analytic techniques ” P 1 – 8 Suggested assignment: SAS 3 Q4, 11a-c, 12a-c, and 13a-c