8-19-21 Lesson Plans for Algebra II

Standards Addressed

MGSE9-12.A.SSE.1 Interpret expressions that represent a quantity in terms of its context.

MGSE9-12.A.SSE.1a Interpret parts of an expression, such as terms, factors, and coefficients, in context.

MGSE9-12.A.SSE.1b  Given situations which utilize formulas or expressions with multiple terms and/or factors, interpret the meaning(in context) of individual terms or factors.

MGSE9-12.A.APR.1 Add, subtract, and multiply polynomials; understand that polynomials form a system analogous to the integers in that they are closed under these operations.

MGSE9-12.A.APR.2 Know and apply the Remainder Theorem: For a polynomial p(x) and a number a, the remainder on division by x – a is p(a), so p(a) = 0 if and only if (x – a) is a factor of p(x). 

MGSE9-12.A.APR.5 Know and apply that the Binomial Theorem gives the expansion of (x+y)^n in powers of x and y for a positive integer n, where x and y are any numbers, with coefficients determined for example by Pascal's Triangle.

MGSE9-12.A.APR.2 Know and apply the Remainder Theorem: For a polynomial p(x) and a number a, the remainder on division by x – a is p(a), so p(a) = 0 if and only if (x – a) is a factor of p(x).

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.APR.6 Rewrite simple rational expressions in different forms using inspection, long division, or a computer algebra system.

Learning Targets/Success Criteria                       

   I can solve problems involving polynomials by:

     -classifying

     -evaluating

     -adding and subtracting

     -multiplying and expanding

     -dividing(synthetic)

I can evaluate polynomial functions by:

  sketching a graph

  determining the end behaviors

  identifying the x and y intercepts  

Introduction/Connection

Daily 10

Direct Instruction/Guided Practice  

Complete Synthetic Division Worksheet

Quiz Review

Quiz (3rd block)

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