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Math 3 review for the final. 52 Multiple choice questions Major topics include; matrices, solving systems of equations, graphing inequalities, logs and exponential. The students were given a review sheet for the final.
Calculus: Review for the final, 28 multiple choice questions. Chapter 1- optimization.
Posted at 02:42 PM | Permalink
Calculus: quiz over optimization. the quiz will consist of 8 problems The student must find either the maximum or the minimum value for the problem.
Math 3 Review for the final.
Posted at 04:52 PM | Permalink
Calculus: Worksheet on optimization with solutions. Quiz on Friday.
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.1.8 Differentiation: Apply/Relation
The learner will be able to use the relationships between f(x), f'(x), and f''(x) to determine the increasing and decreasing behavior of f(x). Determine critical points of f(x). Determine the concavity of f(x) over an interval, the points of inflection of f(x), Sketch the graphs of f'(x) and f''(x) when given f(x), and sketch the graph of f(x) when given f'(x).
M.CALC.1.9 Optimization Problems
The learner will be able to apply derivative; solve optimization and related rate of changes problems.
Math 3 Test on Thursday over inequalities and word problems compound interest, half life appreciation depreciation, growth decay.
Posted at 03:44 PM | Permalink
Calculus: Worksheet on optimization with solutions. Quiz on Friday.
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.1.8 Differentiation: Apply/Relation
The learner will be able to use the relationships between f(x), f'(x), and f''(x) to determine the increasing and decreasing behavior of f(x). Determine critical points of f(x). Determine the concavity of f(x) over an interval, the points of inflection of f(x), Sketch the graphs of f'(x) and f''(x) when given f(x), and sketch the graph of f(x) when given f'(x).
M.CALC.1.9 Optimization Problems
The learner will be able to apply derivative; solve optimization and related rate of changes problems.
Math 3 We will be looking at word problems involving log and exponential functions. Interest problems, half life and other types of problems. Homework from the book page 137 problems 13,14 page 138 problems 12,13 page 141 problem 8 page 142 problems 27,28 page 167 problems 19,20 . Test on Thursday over inequalities and word problems.
Posted at 06:46 AM | Permalink
Calculus: Continue with optimization and first and second derivative test. This is finding maximum and minimum of functions using derivatives and then using the first derivative test or second derivative test to assure what is found is the maximum or minimum. Must also check endpoints of the function. Page 215 problems 1-30 all, 33-40 all, 45-52 all test/quiz on Friday
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.1.8 Differentiation: Apply/Relation
The learner will be able to use the relationships between f(x), f'(x), and f''(x) to determine the increasing and decreasing behavior of f(x). Determine critical points of f(x). Determine the concavity of f(x) over an interval, the points of inflection of f(x), Sketch the graphs of f'(x) and f''(x) when given f(x), and sketch the graph of f(x) when given f'(x).
M.CALC.1.9 Optimization Problems
The learner will be able to apply derivative; solve optimization and related rate of changes problems.
Math 3 We will be looking at word problems involving log and exponential functions. Interest problems, half life and other types of problems. Homework is a worksheet. Test on Thursday over inequalities and word problems.
Posted at 03:19 PM | Permalink
Calculus: We will start optimization. This is finding maximum and minimum of functions using derivatives and then using the first derivative test or second derivative test to assure what is found is the maximum or minimum. Must also check endpoints of the function. page 226 problems 1-26.
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.1.8 Differentiation: Apply/Relation
The learner will be able to use the relationships between f(x), f'(x), and f''(x) to determine the increasing and decreasing behavior of f(x). Determine critical points of f(x). Determine the concavity of f(x) over an interval, the points of inflection of f(x), Sketch the graphs of f'(x) and f''(x) when given f(x), and sketch the graph of f(x) when given f'(x).
M.CALC.1.9 Optimization Problems
The learner will be able to apply derivative; solve optimization and related rate of changes problems.
Math 3 Continue with solving exponential and logarithmic inequalities. Book page 167 problems 1-18 and page 168 problems 1-18
the student must be able to use the properties of logs for this assignment.
Posted at 03:52 PM | Permalink
Math 3 Solving log and exponential inequalities. Workbook pages 183-188
the student must be able to use the properties of logs for this assignment.
Standards:
M.CALC.1.9 Optimization Problems
The learner will be able to apply derivative; solve optimization and related rate of changes problems.
Essential Question
How do you identify and solve related rate problems?
Steps to follow:
1 Understand the problem
Posted at 11:38 AM | Permalink
Math 3 Test over logarithams and exponential functions. We are looking at the properties of logs, inverse, product, quotient, power, and change of base. Problems consist of expanding, condensing, solving exponential equations and log equations.
Standards for Math 3 Logarithmic functions and exponential functions
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.
Element: MM3A3.b.
Solve polynomial, exponential, and logarithmic equations analytically, graphically, and using appropriate technology.
Calculus: Test over related rate problems,
Standards:
M.CALC.1.9 Optimization Problems
The learner will be able to apply derivative; solve optimization and related rate of changes problems.
Essential Question
How do you identify and solve related rate problems?
Steps to follow:
1 Understand the problem
Examples:
A police cruiser, approaching a right angled intersection from the north is chasing a speeding car that has turned the corner and is now moving straight east. When the cruiser is 0.6 miles north of the intersection and the car is 0.8 miles to the east, the police determine with radar that the distance between them and the car is increasing at 20 mph. If the cruise is moving at 60 mph at the instant of measurement, what is the speed of the other car?
Water runs into a conical tank at the rate of 9 cubic feet per minute. The tank stands point down and has a height of 10 feet and a base radius of 5 feet. How fast is the water level rising when the water is 6 feet deep?
Posted at 03:07 PM | Permalink
Math 3 The students were given 3 review sheets on tuesday for the test that will be given on Thursday, December 8. topics to include graphing log functions, finding inverse of the log and exponential functions, using the properties of logs to condense, expand and to solve log and exponential equations.
We are looking at the properties of logs, inverse, product, quotient, power, and change of base. Problems consist of expanding, condensing, solving exponential equations and log equations.
Standards for Math 3 Logarithmic functions and exponential functions
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.
Element: MM3A3.b.
Solve polynomial, exponential, and logarithmic equations analytically, graphically, and using appropriate technology.
Calculus: Continue with related rate problems. Students were given 12 related rate problems on Tuesday. Students on Monday were given 9 more related rate problems with solutions. Test will be given on Thursday, NO additional homework for the test.
Standards:
M.CALC.1.9 Optimization Problems
The learner will be able to apply derivative; solve optimization and related rate of changes problems.
Essential Question
How do you identify and solve related rate problems?
Steps to follow:
1 Understand the problem
Examples:
A police cruiser, approaching a right angled intersection from the north is chasing a speeding car that has turned the corner and is now moving straight east. When the cruiser is 0.6 miles north of the intersection and the car is 0.8 miles to the east, the police determine with radar that the distance between them and the car is increasing at 20 mph. If the cruise is moving at 60 mph at the instant of measurement, what is the speed of the other car?
Water runs into a conical tank at the rate of 9 cubic feet per minute. The tank stands point down and has a height of 10 feet and a base radius of 5 feet. How fast is the water level rising when the water is 6 feet deep?
Posted at 03:03 PM | Permalink
Math 3 Continue with solving log equations and exponential equations. Test will be on Thursday, December 8 over topics that were on the first test and topics on the quiz that was just taken. The students will be given worksheets on solving equations, writing inverses and graphing of log functions with transformations. We are looking at the properties of logs, inverse, product, quotient, power, and change of base. Problems consist of expanding, condensing, solving exponential equations and log equations.
Standards for Math 3 Logarithmic functions and exponential functions
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.
Element: MM3A3.b.
Solve polynomial, exponential, and logarithmic equations analytically, graphically, and using appropriate technology.
Calculus: Continue with related rate problems. Students will be given 12 more related rate problems to solve. Students on Monday were given 9 more related rate problems with solutions. Test will be given on Thursday,
Standards:
M.CALC.1.9 Optimization Problems
The learner will be able to apply derivative; solve optimization and related rate of changes problems.
Essential Question
How do you identify and solve related rate problems?
Steps to follow:
1 Understand the problem
Examples:
A police cruiser, approaching a right angled intersection from the north is chasing a speeding car that has turned the corner and is now moving straight east. When the cruiser is 0.6 miles north of the intersection and the car is 0.8 miles to the east, the police determine with radar that the distance between them and the car is increasing at 20 mph. If the cruise is moving at 60 mph at the instant of measurement, what is the speed of the other car?
Water runs into a conical tank at the rate of 9 cubic feet per minute. The tank stands point down and has a height of 10 feet and a base radius of 5 feet. How fast is the water level rising when the water is 6 feet deep?
Posted at 04:04 PM | Permalink
