Pre-calculus Lesson Plan. Week of:

Transcription

1 Pre-calculus Lesson Plan Week of: May 15 Review for semester exam Semester exams Semester exams

2 May Derivatives Find instantaneous rates of change by Teacher led calculating Student practice derivatives Use the product and quotient rules to calculate derivatives 12.4 Derivatives Find instantaneous Teacher led rates of change by calculating Student practice derivatives Use the product and quotient rules to calculate derivatives 12.5 Area under a curve and Approximate the Teacher led integration area under a curve using rectangles Student practice Approximate the area under a curve using definite integrals and integration 12.5 Area under a curve and Approximate the Teacher led integration area under a curve using rectangles Student practice Approximate the area under a curve using definite integrals and integration Quiz

3 May 1 Quiz Tangent lines and velocity Find instantaneous rates of change by Teacher led calculating slopes of Student practice tangent lines Find average and instantaneous velocity 12.3 Tangent lines and velocity Find instantaneous rates of change by calculating slopes of tangent lines Find average and instantaneous velocity Teacher led Student practice Test Derivatives Find instantaneous rates of change by Teacher led calculating Student practice derivatives Use the product and quotient rules to calculate derivatives

4 April 24 Chapter 7 test 12.1 estimating limits graphically Estimate limits of functions at fixed Teacher led values Student practice Estimate limits of functions at infinity 12.1 estimating limits Estimate limits of Teacher led graphically functions at fixed values Student practice Estimate limits of functions at infinity 12.2 evaluating limits Evaluate limits of Teacher led algebraically polynomial functions at Student practice selected points Evaluate limits of polynomial functions at infinity 12.2 evaluating limits algebraically Evaluate limits of polynomial functions at selected points Evaluate limits of polynomial functions at infinity Teacher led Student practice

5 April 17 No School 7.5 Parametric Equations Graph parametric equations. Teacher led Solve problems Student practice related to the motion of projectiles. 7.5 Parametric Equations Graph parametric equations. Teacher led Solve problems Student practice related to the motion of projectiles. Review Chapter 7 test

6 April Rotations and Conic Find rotation of Teacher led Sections axes to write equations of Student practice rotated conic sections Graph rotated conic sections 7.5 Parametric Equations Graph parametric Teacher led equations. Solve problems Student practice related to the motion of projectiles. 7.5 Parametric Equations Graph parametric Teacher led equations. Solve problems Student practice related to the motion of projectiles. Chapter 7 test No School

7 April 3 Students out for track day ( ) 7.4 Rotations and Conic Sections Find rotation of axes to write Teacher led equations of Student practice rotated conic sections Graph rotated conic sections 7.4 Rotations and Conic Teacher led Sections Student practice No School

8 March Ellipse Teacher led Student practice Quiz Hyperbola Analyze and graph equations of Teacher led hyperbolas. Student practice Use equations to identify types of conic sections. Teacher led Student practice Test

9 March Parabolas Analyze and graph equations of Teacher led parabolas Student practice Write equations of parabolas 7.1 Parabolas Teacher led Student practice 7.2 Ellipses and Circles Analyze and graph Teacher led equations of ellipses and circles. Student practice Use equations to identify ellipses and circles. 7.2 Ellipses and Circles Teacher led Student practice day

10 March 13 Review/homework day Test ( ) Chapter 6 homework due 7.1 Parabolas Analyze and graph equations of Teacher led parabolas Student practice Write equations of parabolas 7.1 Parabolas Teacher led Student practice No School

11 March partial Fractions Write partial fraction Teacher led decompositions of rational expressions with linear factors in the denominator. Student practice Write partial fraction decompositions of rational expressions with prime quadratic factors in the denominator. 6.4 Partial Fractions Teacher led Student practice 6.5 Linear Optimization Use linear Teacher led programming to solve applications. Student practice Recognize situations in which there are no solutions or more than one solution of a linear programming application. 6.5 Linear Optimization Teacher led Student practice No School

12 February 27 Quiz Review homework 6.1 and 6.2 quiz 6.3 Solving Linear Systems Solve systems of Teacher led Using Inverses and Cramer s linear equations Rule using inverse Student practice matrices. Solve systems of linear equations using Cramer s Rule. 6.3 Solving Linear Systems Teacher led Using Inverses and Cramer s Rule Student practice 6.4 partial Fractions Write partial Teacher led fraction decompositions of Student practice rational expressions with linear factors in the denominator. Write partial fraction decompositions of rational expressions with prime quadratic factors in the denominator. 6.4 Partial Fractions Teacher led Student practice Week of: February 20 No School President s Day

13 6.2 Matrix Multiplication, Inverses, and Determinants 6.2 Matrix Multiplication, Inverses, and Determinants 6.3 Solving Linear Systems Using Inverses and Cramer s Rule 6.3 Solving Linear Systems Using Inverses and Cramer s Rule Multiply matrices. Find determinants and inverses of 2 2 and 3 3 matrices. Solve systems of linear equations using inverse matrices. Solve systems of linear equations using Cramer s Rule. Teacher led Student practice Teacher led Student practice Teacher led Student practice Teacher led Student practice Quiz next class

14 February 13 Blog Project Workday Find an example of sine, cosine, or tangent function in your life and use do a trig regression to determine its equation. Use your knowledge of trig functions to explain how the different components of the equation affect its position on the graph. 6.1 Multivariable Linear Solve systems of Teacher led Systems and row operations linear equations using matrices and Student practice Gaussian elimination Solve systems of linear equations using matrices and Gauss-Jordan elimination 6.1 Multivariable Linear Teacher led Systems and row operations Student practice 6.1 Multivariable Linear Teacher led Systems and row operations Student practice No School

15 February Laws of Sine and Cosine Understand and Examples and apply the Law of student practice sine Understand and apply the Law of cosine Book practice 4.7 Laws of Sine and Cosine review Test Blog project Find an example of sine, cosine, or tangent function in your life and use do a trig regression to determine it s equation. Use your knowledge of trig functions to explain how the different components of the equation affect its position on the graph.

16 January Graphing other trig Graph tangent and PPT with functions reciprocal Student solved trigonometric problems Graph damped trigonometric 4.5 Graphing other trig functions 4.6 Inverse Trig functions Evaluate and graph PPT with inverse Student solved problems trigonometric Find compositions of trigonometric 4.6 Inverse Trig functions /question day

17 January 23 Day/Review Go over 4.3 & 4.4 homework Answer concept questions for Test Graphing other trig functions Graph tangent and reciprocal trigonometric PPT with Student solved problems Graph damped trigonometric 4.5 Graphing other trig functions Graph tangent and reciprocal trigonometric Graph damped trigonometric 4.6 Inverse Trig functions Evaluate and graph inverse trigonometric Find compositions of trigonometric PPT with Student solved problems PPT with Student solved problems

18 January 16 No school 4.3 Trigonometric functions Find values of Ppt on the unit circle trigonometric functions for any Teacher led angles Student work Find values of trigonometric functions using the unit circle 4.4 Graphing Sine and Cosine Functions 4.4 Graphng Sine and Cosine Functions Graphing the sine function parametrically Graph transformations of the sine and cosine Use sinusoidal functions to solve problems. Graph transformations of the sine and cosine Use sinusoidal functions to solve problems. Use a graphing calculator and parametric equations to graph the sine function and its inverse Ppt Teacher led Student work Ppt Teacher led Student work Graphing lab

19 January Degrees and Radians Convert degree Ppt measures of angles Teacher led to radian measures and vice versa Student work Use angle measures to solve real-world problems 4.3 Trigonometric functions Find values of Ppt on the unit circle trigonometric Teacher led functions for any angles Student work Find values of trigonometric functions using the unit circle 4.3 Trigonometric functions Find values of Ppt on the unit circle trigonometric Teacher led functions for any angles Student work Find values of trigonometric functions using the unit circle Graphing the sine function Use a graphing Graphing lab parametrically calculator and homework parametric questions equations to graph the sine function and its inverse No School

20 January 2 No School Winter break 4.1Right Triangle Find values of Ppt Trigonometry trigonometric Teacher led functions for acute angles of right Student work triangles. Solve right triangles 4.1Right Triangle Ppt Trigonometry Teacher led Student work 4.1Right Triangle Ppt Trigonometry Teacher led Student work 4.2 Degrees and Radians Convert degree Ppt measures of angles Teacher led to radian measures and vice versa Student work Use angle measures to solve real-world problems

21 December 19 Semester Exam Review Semester Exam Review Semester Exams Semester Exams Winter Break

22 December 12 Review Clarify homework Review/clarify topics Test Blog Project Research Day Apply exponential growth and decay to create models for real world situations. Blog Project Blog Project (If needed) 3.4 and 3.5 homework due today study

23 December Exponential and Apply the One-to- Ppt Logarithmic Equations One Property of Teacher led Exponential Functions to solve In class student equations. practice Apply the One-to- One Property of Logarithmic Functions to solve equations. 3.4 Exponential and Apply the One-to- Ppt Logarithmic Equations One Property of Teacher led Exponential Functions to solve In class student equations. practice Apply the One-to- One Property of Logarithmic Functions to solve equations. 3.4 Solve exponential and Use tables and Graphing calculator logarithmic inequalities graphs to solve activity 3.5 Model with Nonlinear Regression 3.5 Model with Nonlinear Regression inequalities Model data using exponential, logarithmic, and logistic Ppt Teacher led In class student Linearize and practice analyze data. Ppt Teacher led In class student practice per chapter 3 assignments per chapter 3 assignments worksheet per chapter 3 assignments per chapter 3 assignments

24 November Properties of Logarithms Apply properties of Ppt logarithms Teacher led Apply the Change of Base Formula In class student practice 3.3 Properties of Logarithms 3.3 pg 183 # 3, 18, 21, 26, 37, 43, 54, 60, 112 Review Test due for Exponential and Apply the One-to- Ppt per chapter 3 Logarithmic Equations One Property of Exponential Teacher led assignments Functions to solve In class student equations. practice Apply the One-to- One Property of Logarithmic Functions to solve equations.

25 November Logarithmic Functions Evaluate Powerpoint As assigned expressions involving logarithms Teacher lead Sketch and analyze graphs of logarithmic functions Quiz

26 November Exponential Functions Evaluate, analyze, Powerpoint and graph Teacher lead exponential Graphing activity Solve problems involving exponential growth and decay. 3.1 Exponential Functions Powerpoint Teacher lead Graphing activity 3.2 Logarithmic Functions Evaluate Powerpoint expressions Teacher lead involving logarithms Sketch and analyze graphs of logarithmic functions 3.2 Logarithmic Functions Powerpoint Teacher lead As assigned As assigned As assigned As assigned review Quiz

27 November 7 Math of the Presidential Election Math of the Presidential Election Understand how polynomial equations are used to predict election outcomes Understand how polynomial equations are used to predict election outcomes Research data on past elections to predict how swing states will vote in this election Research data on past elections to predict how swing states will vote in this election Project Work Day Finalize blog post #2 Submit project Football finals Look over chapter 3 Determine assessment schedule

28 October Nonlinear inequities solve polynomial Ppt problems from inequalities Examples online book solve rational inequalities questions review Study Chapter 2 test Area under a curve Approximate the Exploration/connection area between a curve and the x-axis

29 October Zeros of Polynomial Find real zeros of Ppt Functions polynomial Find complex zeros of polynomial 2.4 Zeros of Polynomial Find real zeros of Ppt Functions polynomial Examples Next blog post Find complex zeros of polynomial 2.5 Rational Functions analyze and graph Ppt rational functions Examples solve rational exploration functions 2.5 Rational Functions analyze and graph Ppt rational functions Examples solve rational exploration functions 2.6 Nonlinear inequities solve polynomial Ppt inequalities Examples solve rational inequalities Graphing activity problems from online book problems from online book problems from online book problems from online book problems from online book

30 October 17 No School 2.3 The Remainder and Factor Theorems Divide polynomials using long division and synthetic Ppt problems from online book division. Use the Remainder and Factor 2.3 The Remainder and Factor Theorems Theorems. Divide polynomials using long division and synthetic division. Use the Remainder and Factor Theorems Quiz 2.4 Zeros of Polynomial Functions Find real zeros of polynomial Find complex zeros of polynomial Ppt Ppt problems from online book problems from online book

31 October 10 Native American Day No School 2.1 Power and Radical Graph and analyze Ppt with Online book Functions power Graph and analyze radical functions, and solve radical equations. 2.1 Power and Radical Graph and analyze Ppt with Online book Functions power Graph and analyze radical functions, and solve radical equations. 2.2 Polynomial Functions Graph polynomial Ppt with Online book Model real-world data with polynomial 2.2 Polynomial Functions Graph polynomial Ppt with Online book Time to go over Model real-world data with polynomial homework

32 October Inverse Relations and Use the graphs of Investigation From online book Functions functions to determine if they have inverse Find inverse functions algebraically and graphically. 1.7 Inverse Relations and Functions 1.7 Inverse Relations and Functions Use the graphs of functions to determine if they have inverse From online book Find inverse functions algebraically and graphically. practice from online book Overview of chapter 2 Look through chapter 2 Determine how chapter 2 will be assessed Project topic for chapter 2 From online book

33 September 26 Composite functions Perform operations Finish packet From online book with Find compositions of Inverse Function Use the graphs of Exploration activity From online book Work Day: Photo Project functions to Upload photo to determine if they desmos have inverse Find inverse functions algebraically and graphically. Inverse Functions Use the graphs of Notes From online book functions to Photo Project Due determine if they Practice activity have inverse Find inverse functions algebraically and graphically. Review Chapter review From online book student choice Chapter 1 test From online book

34 September 19 Complete 1.4 Identify, graph, and Ppt with 1.5 Parent Functions and describe parent and practice Transformations Identify and graph desmos transformations of parent functions 1.5 Parent Functions and Identify, graph, and Ppt with Transformations describe parent and practice Identify and graph transformations of parent functions 1.6 Function Operations and Compositions of functions 1.6 Function Operations and Compositions of functions 1.7 Inverse Relations and Functions Perform operations with Find compositions of Perform operations with Find compositions of Use the graphs of functions to determine if they have inverse Find inverse functions algebraically and graphically Ppt with and practice Ppt with and practice Ppt with and practice desmos From online book From online book From online book From online book From online book

35 September Continuity, end Use limits to Notes and From online book behavior, and limits determine the continuity of a function, and apply the Intermediate Value thm to continuous functions Use limits to describe end behavior of functions 1.3 Continuity, end Notes and From online book behavior, and limits Quiz QFocus: Behavior of functions 1.4 Extreme and Rates of Change 1.4 Extreme and Rates of Change Quiz reflection blog: How are functions present in your daily life? determine intervals on which functions are increasing, constant, or decreasing, and determine maxima and minima of functions notes and from online book determine the average rate of change of a function From online book

36 September 5 Labor Day no school 1.1 Functions Describe subsets of real numbers What do you know functions? From online book Identify and Notes and evaluate functions and state their domains 1.2 Analyzing graphs of functions and relations Use graphs of functions to estimate values an find their domains, ranges, y-intercepts, Notes and From online book and zeros of functions Explore symmetries of graphs and identify even and 1.3 Continuity, end behavior, and limits odd functions Use limits to determine the continuity of a function, and apply the Intermediate Value thm to continuous functions Use limits to describe end behavior of functions quiz Quiz reflection Notes and From online book blog: How are functions present in your daily life?

37 August 29 Complex Number Review Review solving Teacher led equations and expressions with puzzle complex numbers # 3,10, 13, 18, 28, 33, 34, 38, 45, 51 Quadratic equation review Analyzing the properties of parabolas Factoring quadratic nth roots and real exponents Unpack chapter 1 Introduce photo project equations Review the process and application roots and exponents Determine skills needed to be successful in chapter Process/purpose and rubric for the photo project Teacher led Small group activity Teacher led Small group discussion Class discussion Reflection Parent function flipchart No School # 4, 10, 14, 19, 26, 34, 35, 42, 50, 51 #3, 16, 17, 18, 22, 24, 26, 27, 29, 34 blog: What do you know about functions, what do you hope to learn in this chapter, and how do you think this knowledge is helpful in the real world? (approx. 350 words)

38 August 22 First Day of School Self Introduction Establish Class Expectations Student Introductions QFocus Students will be able to produce, manipulate, and prioritize questions to maximize information gained Determine the prior content knowledge of the students. Goal Setting Students will be Set-up Blog able to set Discuss On-going academic goals and Photo Project plans to reach them. Go over syllabus Students complete Get to Know Me form Powerpoint on the QFocus procedure QFocus practice in small groups Pre-test Powerpoint on Setting SMART Goals Small group discussion Independent goal setting Set-up student page on Weebly Introduce Photo Project Complete Get to know me form Obtain needed school supplies Complete Student webpage