Intentional Thinking Map for PLC Planning (Questions 1 & 2) Title of Unit: Standard(s) being addressed? MACC.912.A-­‐REI.1.2: Solve simple rational and radical equations in one variable, and give examples showing how extraneous solutions may arise. Circle the Verbs and underline the key concepts (important nouns and noun phrases). PLC question #1: What do we expect all students to learn? à PLC question #2: How will we know if and when they have learned it? Know Declarative knowledge: Facts, vocabulary, information Know how to solve a rational equation with extraneous solutions. Know how to solve a radical equation with extraneous solutions. Understand “Essential understandings,” or generalizations, and represent ideas that are transferable to other contexts. Do Procedural knowledge: Skills, strategies and processes that are transferrable to other contexts. Understand extraneous solutions may arise when solving radical and rational equations. (Retrieval) Solving a one or two-­‐step rational equation and a one or two-­‐step radical equation. (Comprehension) Solve rational and radical equations without extraneous solutions. (Analysis) Solve rational and radical equations that may have extraneous solutions. (Knowledge Utilization) Model a real-­‐world situation with a rational equations. Prerequisite skills: What prior knowledge (skills from previous grade levels) do students need to have mastered to be successful with this standard(s)? solving equations, evaluate rational and radical expressions, definition of radical and rational expressions, definition of extraneous solution, rational exponents. Learning Goal(s)/Objective(s): (Based on standards above) DSBPC-­‐OTL Intentional Thinking Map for PLC Planning (Questions 1 & 2) Standard MACC.912.A-­‐REI.1.2: Solve simple rational and radical equations in one variable, and give examples showing how extraneous solutions may arise. Sample Task(s) Aligned to the Cognitive Complexity of the Learning Progression Score Learning Progression (Ways to check for Understanding) 4.0 3.0 Target (Standard) 2.0 1.0 I can… • Model a real-­‐world situation with a rational equation. I can… • Solve rational and radical equations that may have extraneous solutions. I can… *Prentice Hall Algebra 2 Honors pg. 548 #56 Solve x + 7 − 5 = x . *Prentice Hall Algebra 2 Honors pg. 393 Example #4 Solve 3+ 2x − 3 = 8 . *Prentice Hall Algebra 2 Honors pg. 390 Example #1 2
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Solve 3(x +1) = 12 . *Prentice Hall Algebra 2 Honors pg. 391 Example #2 Solve x = 2 . I need prompting and/or support to complete 2.0 tasks. DSBPC-­‐OTL