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In Algebra 2, students analyze and apply operations using multiple representations of functions to compare, interpret data, and make inferences. Functions include (but not limited to) linear, exponential, quadratic, absolute value, inverse, piecewise, cubic, polynomial, trigonometric, logarithms, etc. They use statistics in real world contexts to develop solutions.
Frequently Asked Questions
What would you say the constant theme of this unit would be?
The constant theme should be starting with a certain representation and becoming comfortable with creating other representations (i.e. table, graph, explicit equation, recursive equation, story context and possibly an pictorial representation), which will allow utilizing multiple standards for math practice to improve mastery, comprehension, and retention.
What about quadratics & unfinished learning?
What about quadratics & unfinished learning?
This unit should be addressing some unfinished learning and prior knowledge with quadratics, while introducing polynomials. As the unit progresses, the goal is to continue emphasizing comparisons of different functions types and their various representations to help define and understand polynomials and quadratics, the characteristics and behaviors that are similar and different from previously mastered functions.
Where is the line between Quadratics in Algebra 1 versus Quadratics in Algebra 2?
ALD levels 1-3 of the learning goal are from the Algebra 1 course. This is the perfect time to reengage these concepts (A-REI.B) while working on complex solutions (N-CN.7). For example, comparing the process of factoring from Algebra 1 with factoring a quadratic with complex roots. What is similar? What is different? Why do we have “complex” numbers? Notice the language above, reengage versus reteach. This is not stopping to teach Algebra 1, but connecting to and extending Algebra 1 concepts to Algebra 2. For more on the difference, see the Again? Tab.
Do I need to take the understanding of quadratics to an ALD Level 4?
While this concept has been identified as Level 4 (advanced) understanding for this Algebra 1 Target, it represents a grade level understanding for Algebra 2 (N-CN.7).
Developmental Notes
A-CED.A Creating Equations; Graph & Rearrange Formulas: Quadratics & Polynomials
A-CED.A Creating Equations; Graph & Rearrange Formulas: Quadratics & Polynomials
N-CN.7 Quadratic Equations with Complex Roots
N-CN.7 Quadratic Equations with Complex Roots
There is no Claim 1 Item Specification for N-CN.7 but it is embedded in Target I, Level 4.
F-IF.C Graph Quad. & Polynomial Functions; Equiv. Forms of Quadratic Functions; Comparing Two Functions
F-IF.C Graph Quad. & Polynomial Functions; Equiv. Forms of Quadratic Functions; Comparing Two Functions
F-IF.B Key Features of a Graph; Average Rate of Change
F-IF.B Key Features of a Graph; Average Rate of Change
A-SSE.2 Rewriting Expressions: Polynomials
A-APR.3 (embed A-APR.1) Zeroes of Polynomials
A-APR.3 (embed A-APR.1) Zeroes of Polynomials
A-APR.3 is found in Claim 3.
A-REI.11. Solution Sets on a Line or Region; Graphing & Solving Two Functions
A-REI.11. Solution Sets on a Line or Region; Graphing & Solving Two Functions
Claim 1 Response Types, Stimulus Materials, Vocabulary & Calculator Use (DESMOS)
Claim 1 Response Types, Stimulus Materials, Vocabulary & Calculator Use (DESMOS)
A-CED.A Creating Equations; Graph & Rearrange Formulas: Quadratics & Polynomials
A-CED.A Creating Equations; Graph & Rearrange Formulas: Quadratics & Polynomials
N-CN.7 Quadratic Equations with Complex Roots
N-CN.7 Quadratic Equations with Complex Roots
Developmental Notes for Target I (A-REI.4b from Algebra 1 are below)
F-IF.C Graph Quad. & Polynomial Functions; Equiv. Forms of Quadratic Functions; Comparing Two Functions
F-IF.C Graph Quad. & Polynomial Functions; Equiv. Forms of Quadratic Functions; Comparing Two Functions
F-IF.B Key Features of a Graph; Average Rate of Change
F-IF.B Key Features of a Graph; Average Rate of Change
A-SSE.2 Rewriting Expressions: Polynomials
A-APR.3 (embed A-APR.1) Zeroes of Polynomials
A-APR.3 (embed A-APR.1) Zeroes of Polynomials
The information below is from Target F (A-APR.1); A-APR.3 is found in Claim 3.
A-REI.11. Solution Sets on a Line or Region; Graphing & Solving Two Functions
A-REI.11. Solution Sets on a Line or Region; Graphing & Solving Two Functions
For information on what is required in this unit, check out the assessment tab!
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