Coach Reichenbach's Blog

Lesson for Tuesday, November 1

Math 3

Functions involving "e" which is the natural base e.  Problems out of the workbook page 155-159

Quiz thursday, November 3 and midterm next Monday, november 7

Calculus:  worksheets on inverse trig functions, inverse functions, log and exponential functions and trig functions.

Lesson for Monday, October 31

Calculus:  Continue with inverse trig functions page 170 problems 1-27 all

Math 3

We will look at Exponential decay and the transformations of those graphs.  Section 4.2 out of the workbook.  Page 150-154  and out of the book page 137 problems 1-14 and page 138 problems 1-13.  Midterm on Monday, November 7,  26 questions over matrices and polynomials. 

MM3A2

Students will explore logarithmic functions as inverses of exponential functions.

Element: MM3A2.a.

Define and understand the properties of n^th roots.

Element: MM3A2.b.

Extend properties of exponents to include rational exponents.

Element: MM3A2.c.

Define logarithmic functions as inverses of exponential functions.

Element: MM3A2.d.

Understand and use properties of logarithms by extending laws of exponents.

Element: MM3A2.e.

Investigate and explain characteristics of exponential and logarithmic functions including domain and range, asymptotes, zeros, intercepts, intervals of increase and decrease, and rate of change.

Element: MM3A2.f.

Graph functions as transformations of f(x) = a^x, f(x) = loga(x), f(x) = e^x, f(x) = ln x.

Element: MM3A2.g.

Explore real phenomena related to exponential and logarithmic functions including half-life and doubling time.

 

Lesson for Friday, October 28

Calculus:  We will look at inverse trig functions and their derivatives, log functions and their derivatives, exponential functions and their derivatives.  Homework is on page 170 problems 1-24 all

Math 3

Task on graphing of exponential functions and discovering range, domain, increasing and decreasing functions, comparing various numbers raised to a variable. Midterm on Monday, November 7.  This will cover polynomials functions and matrices.  This will count as a test grade.  Multiple choice.

MM3A2

Students will explore logarithmic functions as inverses of exponential functions.

Element: MM3A2.a.

Define and understand the properties of n^th roots.

Element: MM3A2.b.

Extend properties of exponents to include rational exponents.

Element: MM3A2.c.

Define logarithmic functions as inverses of exponential functions.

Element: MM3A2.d.

Understand and use properties of logarithms by extending laws of exponents.

Element: MM3A2.e.

Investigate and explain characteristics of exponential and logarithmic functions including domain and range, asymptotes, zeros, intercepts, intervals of increase and decrease, and rate of change.

Element: MM3A2.f.

Graph functions as transformations of f(x) = a^x, f(x) = loga(x), f(x) = e^x, f(x) = ln x.

Element: MM3A2.g.

Explore real phenomena related to exponential and logarithmic functions including half-life and doubling time.

 

 

 

 

 

Lesson for Thursday, October 27

Math 3

Continue with exponential functions.  Work is out of the book page 132 problems 1-12 (tell the transformation of each problem also) 14 and 15 and page 133 problems 10-12 all

MM3A2

Students will explore logarithmic functions as inverses of exponential functions.

Element: MM3A2.a.

Define and understand the properties of n^th roots.

Element: MM3A2.b.

Extend properties of exponents to include rational exponents.

Element: MM3A2.c.

Define logarithmic functions as inverses of exponential functions.

Element: MM3A2.d.

Understand and use properties of logarithms by extending laws of exponents.

Element: MM3A2.e.

Investigate and explain characteristics of exponential and logarithmic functions including domain and range, asymptotes, zeros, intercepts, intervals of increase and decrease, and rate of change.

Element: MM3A2.f.

Graph functions as transformations of f(x) = a^x, f(x) = loga(x), f(x) = e^x, f(x) = ln x.

Element: MM3A2.g.

Explore real phenomena related to exponential and logarithmic functions including half-life and doubling time.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Midterm will be Monday November 7.  The midterm will count as a test   Topics include matrices and polynomial funtions.  Review old tests and quizzes

Calculus:   Quiz will be on Thursday, five questions on implicit differentiation.

M.CALC.1.4 Differentiation: Use/Rules
The learner will be able to use the rules of differentiation (power rule, product rule and quotient rule) with algebraic and transcendental functions. 

M.CALC.1.3 Differentiation: Apply
The learner will be able to apply the derivative to determine the slope of a curve at a point, the equation of the tangent line to a curve at a point and the equation of the normal line to a curve at point.

M.CALC.1.5 Differentiation: Chain Rule
The learner will be able to apply the chain rule to composite functions, and implicitly defined function

 

Lesson for Wednesday, October 26

Math 3

We will begin expontial functions and logarithmic functions.  we will discuss this for the remainder of the semester.  Standards are as follows:

MM3A2

Students will explore logarithmic functions as inverses of exponential functions.

Element: MM3A2.a.

Define and understand the properties of n^th roots.

Element: MM3A2.b.

Extend properties of exponents to include rational exponents.

Element: MM3A2.c.

Define logarithmic functions as inverses of exponential functions.

Element: MM3A2.d.

Understand and use properties of logarithms by extending laws of exponents.

Element: MM3A2.e.

Investigate and explain characteristics of exponential and logarithmic functions including domain and range, asymptotes, zeros, intercepts, intervals of increase and decrease, and rate of change.

Element: MM3A2.f.

Graph functions as transformations of f(x) = a^x, f(x) = loga(x), f(x) = e^x, f(x) = ln x.

Element: MM3A2.g.

Explore real phenomena related to exponential and logarithmic functions including half-life and doubling time.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Lesson 1 will be graph of Exponential growth functions.  Workbook page 145-149

Midterm will be Monday November 7.  The midterm will count as a test   Topics include matrices and polynomial funtions.  Review old tests and quizzes

Calculus:   Continue with implicit differentiation.  Quiz will be on Thursday, five questions.

M.CALC.1.4 Differentiation: Use/Rules
The learner will be able to use the rules of differentiation (power rule, product rule and quotient rule) with algebraic and transcendental functions. 

M.CALC.1.3 Differentiation: Apply
The learner will be able to apply the derivative to determine the slope of a curve at a point, the equation of the tangent line to a curve at a point and the equation of the normal line to a curve at point.

M.CALC.1.5 Differentiation: Chain Rule
The learner will be able to apply the chain rule to composite functions, and implicitly defined functions

Lesson for Tuesday, October 25

Math 3

Test over polynomials  

Test will cover solving polynomial equations by factoring, synthetic division using the rational root theorem, long division, using Descartes rule, sketching graphs, given zeros find the polynomial

Find real and complex roots of higher degree polynomial equations using the factor theorem, remainder theorem, rational root theorem, and fundamental theorem of algebra,

Element: MM3A3.b.

Solve polynomial equations analytically, graphically, and using appropriate technology.

 

Element: MM3A3.d.

Solve a variety of types of equations by appropriate means choosing among mental calculation, pencil and paper, or appropriate technology.

Calculus:

Calculus:  Continue with implicit differentiation.  page 162 problems 1-47 all.  this is a continuation of Monday's homework, worksheet over implicit differentiation  quiz on Thursday

.

M.CALC.1.4 Differentiation: Use/Rules
The learner will be able to use the rules of differentiation (power rule, product rule and quotient rule) with algebraic and transcendental functions. 

M.CALC.1.3 Differentiation: Apply
The learner will be able to apply the derivative to determine the slope of a curve at a point, the equation of the tangent line to a curve at a point and the equation of the normal line to a curve at point.

M.CALC.1.5 Differentiation: Chain Rule
The learner will be able to apply the chain rule to composite functions, and implicitly defined functions.

 

Lesson for Monday, October 24

Math 3

Review for test on Tuesday.  Review problems out of the book  Page 83 1-18, page 92 1-10, page 96 11-13, page 97 9,15-22, page 100 2-5, page 105 1,2,9-22,26-31.  Test will cover solving polynomial equations by factoring, synthetic division using the rational root theorem, long division, using Descartes rule, sketching graphs, given zeros find the polynomial

Find real and complex roots of higher degree polynomial equations using the factor theorem, remainder theorem, rational root theorem, and fundamental theorem of algebra,

Element: MM3A3.b.

Solve polynomial equations analytically, graphically, and using appropriate technology.

 

Element: MM3A3.c.

Solve polynomial inequalities analytically, graphically, and using appropriate technology. Represent solution sets of inequalities using interval notation.

 

Element: MM3A3.d.

Solve a variety of types of equations by appropriate means choosing among mental calculation, pencil and paper, or appropriate technology.

Calculus:

Calculus:  Continue with implicit differentiation.  page 162 problems 1-47 all.  this is a continuation of Monday's homework

.

M.CALC.1.4 Differentiation: Use/Rules
The learner will be able to use the rules of differentiation (power rule, product rule and quotient rule) with algebraic and transcendental functions.

M.CALC.1.3 Differentiation: Apply
The learner will be able to apply the derivative to determine the slope of a curve at a point, the equation of the tangent line to a curve at a point and the equation of the normal line to a curve at point.

M.CALC.1.5 Differentiation: Chain Rule
The learner will be able to apply the chain rule to composite functions, and implicitly defined functions.

Lesson for Friday, October 21

Math 3 quiz over all characteristics of a polynomial functions. 

Test next Tuesday, October 25 will cover solving polynomial equations by factoring, synthetic division using the rational root theorem, long division, using Descartes rule, sketching graphs, given zeros find the polynomial, We will have a one question quiz on Friday. 

Element: MM3A3.a.

Find real and complex roots of higher degree polynomial equations using the factor theorem, remainder theorem, rational root theorem, and fundamental theorem of algebra,

Element: MM3A3.b.

Solve polynomial equations analytically, graphically, and using appropriate technology.

Element: MM3A3.c.

Solve polynomial inequalities analytically, graphically, and using appropriate technology. Represent solution sets of inequalities using interval notation.

Element: MM3A3.d.

Solve a variety of types of equations by appropriate means choosing among mental calculation, pencil and paper, or appropriate technology.

Calculus:  Implicit differentiation.  Students will use all properties of derivatives to find derivatives of comples equations without solving for y.  Homework is on page 162 problems 1-26 all

M.CALC.1.4 Differentiation: Use/Rules
The learner will be able to use the rules of differentiation (power rule, product rule and quotient rule) with algebraic and transcendental functions. 

M.CALC.1.3 Differentiation: Apply
The learner will be able to apply the derivative to determine the slope of a curve at a point, the equation of the tangent line to a curve at a point and the equation of the normal line to a curve at point.

M.CALC.1.5 Differentiation: Chain Rule
The learner will be able to apply the chain rule to composite functions, and implicitly defined functions.

 

 

Lesson for Thursday, October 20

Math 3

Worksheet over polynomials to find real zeros of a polynomial function using all techniques discussed so far.  Test next Tuesday, October 25 will cover solving polynomial equations by factoring, synthetic division using the rational root theorem, long division, using Descartes rule, sketching graphs, given zeros find the polynomial, We will have a one question quiz on Friday. 

Element: MM3A3.a.

Find real and complex roots of higher degree polynomial equations using the factor theorem, remainder theorem, rational root theorem, and fundamental theorem of algebra,

Element: MM3A3.b.

Solve polynomial equations analytically, graphically, and using appropriate technology.

Element: MM3A3.c.

Solve polynomial inequalities analytically, graphically, and using appropriate technology. Represent solution sets of inequalities using interval notation.

Element: MM3A3.d.

Solve a variety of types of equations by appropriate means choosing among mental calculation, pencil and paper, or appropriate technology.

 

Calculus: The students were given their tests back on finding derivatives using the power rule, product rule, quotient rule, chain rule. They also were given problems on particle motion. The homework is to study for the retest which will be given on Thursday, October 20. 

M.CALC.1.7 Differentiation: Find/Apply
The learner will be able to determine the successive derivatives of a function and apply them to problems, such as speed, velocity and acceleration.

M.CALC.1.4 Differentiation: Use/Rules
The learner will be able to use the rules of differentiation (power rule, product rule and quotient rule) with algebraic and transcendental functions.

M.CALC.1.3 Differentiation: Apply
The learner will be able to apply the derivative to determine the slope of a curve at a point, the equation of the tangent line to a curve at a point and the equation of the normal line to a curve at point.

M.CALC.1.5 Differentiation: Chain Rule
The learner will be able to apply the chain rule to composite functions, and implicitly defined function

Lesson for Wednesday, October 19

Math 3

 Homework is to find real zeros of a polynomial function using all techniques discuss so far. Homework is from the workbook page pages 106-111l. Test next Tuesday, October 25 will cover solving polynomial equations by factoring, synthetic division using the rational root theorem, long division, using Descartes rule, sketching graphs, given zeros find the polynomial, solving polynomial inequalities and finding distance in 3-d.Standards are:

Element: MM3A3.a.

Find real and complex roots of higher degree polynomial equations using the factor theorem, remainder theorem, rational root theorem, and fundamental theorem of algebra,

Element: MM3A3.b.

Solve polynomial equations analytically, graphically, and using appropriate technology.

Element: MM3A3.c.

Solve polynomial inequalities analytically, graphically, and using appropriate technology. Represent solution sets of inequalities using interval notation.

Element: MM3A3.d.

Solve a variety of types of equations by appropriate means choosing among mental calculation, pencil and paper, or appropriate technology.

 

Calculus: The students were given their tests back on finding derivatives using the power rule, product rule, quotient rule, chain rule. They also were given problems on particle motion. The homework is to study for the retest which will be given on Thursday, October 20. We will also have a quiz on Wednesday, October 19 on particle motion. No new homework

M.CALC.1.7 Differentiation: Find/Apply
The learner will be able to determine the successive derivatives of a function and apply them to problems, such as speed, velocity and acceleration.

M.CALC.1.4 Differentiation: Use/Rules
The learner will be able to use the rules of differentiation (power rule, product rule and quotient rule) with algebraic and transcendental functions.

M.CALC.1.3 Differentiation: Apply
The learner will be able to apply the derivative to determine the slope of a curve at a point, the equation of the tangent line to a curve at a point and the equation of the normal line to a curve at point.

M.CALC.1.5 Differentiation: Chain Rule
The learner will be able to apply the chain rule to composite functions, and implicitly defined function