2-22-21 Lesson Plans for Algebra II

Standards Addressed

MGSE9-12.N.CN.1 Understand there is a complex number i such that i2 = −1, and every complex number has the form a + bi where a and b are real numbers.

MGSE9-12.N.CN.2 Use the relation i2 = –1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers.

MGSE9-12.N.CN.3 Find the conjugate of a complex number; use the conjugate to find the absolute value (modulus) and quotient of complex numbers.

MGSE9-12.N.CN.7 Solve quadratic equations with real coefficients that have complex solutions by (but not limited to) square roots, completing the square, and the quadratic formula.

MGSE9-12.N.CN.8 Extend polynomial identities to include factoring with complex numbers. For example, rewrite x2 + 4 as (x + 2i)(x – 2i).

MGSE9-12.A.REI.4 Solve quadratic equations in one variable.

MGSE9-12.A.REI.4b Solve quadratic equations by inspection (e.g., for x2 = 49), taking square roots, factoring, completing the square, and the quadratic formula, as appropriate to the initial form of the equation

MGSE9-12.F.IF.7 Graph functions expressed algebraically and show key features of the graph both by hand and by using technology.

MGSE9-12.F.IF.7c Graph polynomial functions, identifying zeros when suitable factorizations are available, and showing end behavior.

MGSE9-12.F.IF.4 Using tables, graphs, and verbal descriptions, interpret the key characteristics of a function which models the relationship between two quantities. Sketch a graph showing key features including: intercepts; interval where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior;

MGSE9-12.A.CED.3 Represent constraints by equations or inequalities, and by systems of equation and/or inequalities, and interpret data points as possible (i.e. a solution) or not possible (i.e. a non-solution) under the established constraints.

Learning Targets/Success Criteria                       

I can solve problems involving polynomials by:

-solving quadratics, cubics, and quartics by factoring

-solving quadratics by quadratic formula

-simplifying complex numbers

-find the zeros of a polynomial function

-applying transformations of functions

-graphing linear-quadratic systems of inequalities

Introduction/Connection

Daily 10

Direct Instruction/Guided Practice  

Unit 2 Test

Independent/Collaborative Practice/Differentiation

Monitoring students throughout the lesson as some students will work individually and some will work with partners.  Some students will work ahead on additional assignments or enrichment activities.

Summarize/Check for Understanding

Teacher questioning for understanding/clarification.

Guided practice will be checked for accuracy and corrections will be made.

Attachments

See Google Classroom