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Pre AP Algebra 2 Week of November 17th Henry Ford

Mon/Tues November 17/18

Algebra II
26 / Findtheinverse ofa matrixifitexistsand useittosolve systems oflinearequations(using technologyformatricesofdimension 3× 3 orgreater).
I .1c. Calculate the determinant of 2 × 2 and 3 × 3 matrices
I .1d. Find the inverse of a 2 × 2 matrix
I .1e. Solve systems of equations by using inverses of matrices and determinants
I .1f. Use technology to perform operations on matrices, find determinants, and find inverses / A-REI9

Activity 1: Solve system of equations using matrices and technology

Page 205 1-6 all solve by inverse and reduced roll echelon form.

NMSI Teacher Training Lesson (formerly LTF): Composition of Functions Graphically (.5 day)

Teacher Note: This is a neat lesson to teach composition of functions.

** Assessments Unit 1 #4 can be used with this lesson.

AL COS / Common Core Standard
Quality Core Identifier. Quality Core Standard(s) / Common Core
C.1.d. Perform operations on functions, including function composition, and determine domain and range for each of the given functions

Activity 2: LtF lesson classwork worksheet 1 identify composition of functions from graphs.

Homework: Complete composition of function activity pages.

Wednesday/ Thursday: November 19/20

NMSI Teacher Training Lesson (formerly LTF): Composition of Functions( .5 day)

Teacher Note: Introduction of the symbol for composition and begins to compose functions that are and are not inverses. #2 deals with composing and .

**Assessments Unit 3 #3 can be used with this lesson.

AL COS / Common Core Standard
Quality Core Identifier. Quality Core Standard(s) / Common Core
Algebra II 35a / Solve an equation of the form f(x) = c for a simple function f that has an inverse, and write an expression for the inverse.
C.1.d. Perform operations on functions, including function composition, and determine domain and range for each of the given functions / F-BF4a
E.2.a. Determine the domain and range of a quadratic function; graph the function with and without technology

Activity 1: grade homework from composition of function graphically activity.

Activity 2: classwork composition of functions algebraically.

NMSI Teacher Training Lesson (formerly LTF): Composition of Functions Exploration(1 day)

Teacher Note: Introduces notation for inverse and drives home the fact that the composition of inverse functions results in .

AL COS / Common Core Standard
Quality Core Identifier. Quality Core Standard(s) / Common Core
Algebra II 35 / Solve an equation of the form f(x) = c for a simple function f that has an inverse, and write an expression for the inverse.
C.1.d. Perform operations on functions, including function composition, and determine domain and range for each of the given functions / F-BF4a

Activity 3: LTF activity: identify and solve inverse and composition of functions.

Friday,November 21

Test review: Inverse matrices, terminology of matrices, solve system of equations by inverse matrix, composition of functions algebraically and graphically.