Chapter 3.2 bt
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The document discusses geometry topics including calculating the value of pi using polygons inscribed in and circumscribed around circles, deriving the formulas for the circumference and area of a circle, and providing the formulas. Archimedes' calculations of pi by using polygons with more sides provided better approximations that pi is between 3 1/7 and 3 10/71. The area of a circle formula is derived using circular sectors and the radius, and the final formula given is that the area A of a circle equals pi times the radius squared.
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It also announces an upcoming exam on chapter 7 and assignments for students to complete practice problems.
Lecture 7.1 to 7.2 bt
This document contains an agenda for a class that includes attendance, questions from previous sections, a quiz, and material from sections 7.1 and 7.2. It also lists the exam schedule. Several examples are provided on graphing systems of inequalities and finding feasible regions. Linear programming is introduced as a way to maximize or minimize objective functions subject to constraints. Examples are worked through to find the minimum and maximum values of objective functions over feasible regions defined by constraint inequalities. Students are assigned related practice problems from their textbook.
Lecture 6.1 6.2 bt
The document outlines the agenda and schedule for a math class. It includes collecting projects, returning exams, homework due dates, and topics to be covered from sections 6.1, 6.2. Exam dates are provided for Exam 5 on April 1st and Exam 6 on April 27th, with the final exam on May 4th. Methods for solving systems of linear equations are reviewed, including graphing, substitution, and elimination methods. Examples are worked through for each method. Classwork and homework assignments are listed at the end.
Lecture 4.4 bt
The document appears to be a class agenda that includes the following:
- Covering section 4.4 in class
- No MML homework this week
- Project 3 is due Monday March 23rd
- Exam 4 on chapter 4 will be on Wednesday March 18th
Geo 6.2 6.3 bt
This document discusses geometry topics including proving triangles similar using AAA, SAS, and SSS similarity postulates, volume formulas for conic frustums, properties of inscribed right triangles, mean proportions, indirect measurement techniques, and the midsegment and side splitter theorems. It also announces an upcoming exam and homework assignments covering sections 6.2 and 6.3 that are due on Tuesday.
Geo 6.2 6.3 bt
This document discusses geometry topics including proving triangles similar using AAA, SAS, and SSS similarity postulates, volume formulas for conic frustums, properties of inscribed right triangles, mean proportions, indirect measurement techniques, and the midsegment and side splitter theorems. It also announces an upcoming exam and homework assignments covering sections 6.2 and 6.3 that are due on Tuesday.
Lecture 4.2 bt
The document outlines an agenda that includes:
1) Attendance and announcements
2) Covering sections 4.2 of the textbook
3) A quiz on Chapter 4
4) The Chapter 4 exam on Wednesday March 18th
Lecture 4.1 bt
The document outlines an agenda for today which includes attendance, submitting projects, covering a section, homework due on Sunday, and a quiz on Monday. It then provides three pay rate plans - Plan A pays $200,000 per day, Plan B starts at $50,000 and increases by $10,000 each day, and Plan C starts at 2 cents and doubles each day. Finally, it discusses exponential functions, including basic graphs, functions with initial values, and examples of finding exponential functions from data points.
Geo 5.1 bt
This document contains notes from a geometry class covering modern geometry, logic, parallel lines, and non-Euclidean geometry. It introduces key concepts like proof by direct reasoning, conditional statements, the law of detachment and syllogism. It also covers parallel lines cut by a transversal and the parallel postulate. Finally, it discusses what would happen if Euclid's parallel postulate was incorrect, introducing elliptic and hyperbolic geometry as alternatives.
Lecture 3.6 bt
The document outlines an agenda for a class that includes:
- An exam on Wednesday covering Chapter 3
- A discussion of Section 3.6 on polynomial functions of degrees 2, 4, and 5
- Examples of basic graphs of polynomials of degrees 3 and 4
- A discussion of end behavior and the number of peaks/valleys in polynomial graphs
- A strategy for graphing polynomials that involves determining the degree, finding x-intercepts, y-intercepts, end behavior, and additional points to plot and sketch the graph
Chapter 4.3 bt
This document discusses geometry theorems and proofs. It covers two-column proofs, proving parts of figures congruent, theorems about vertical angles and isosceles triangles, and their converses. It also lists Euclidean construction exercises, such as constructing congruent segments, angles, bisecting angles, and constructing perpendiculars and bisectors.
Chapter 4.2 bt
This document discusses methods for proving triangles congruent, including CPCTC, SSS, SAS, ASA, AAS, AAA, ASS, and HL. It mentions practicing problems 1, 2, and 5-14 on page 202 and doing two-column proofs. The homework assigned is to do the odd problems from 19-41 in section 4.2.
Lecture 3.1 to 3.2 bt
- The document outlines the agenda for today's class which includes announcements, projects due, and an upcoming quiz. The class will cover sections 3.1 and 3.2 on functions.
- It defines what a function is and provides examples. A function assigns each input to exactly one output. It discusses function notation and evaluating functions.
- Additional topics covered include finding domains of functions, piecewise functions, graphing functions using a T-chart, reading graphs, and determining if a relation represents a function using the vertical line test. Worksheets are assigned for classwork and homework.
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Syllabus
Chapter-1
Introduction to objective, scope and outcome the subject
Chapter 2
Introduction: Scope and Specialization of Civil Engineering, Role of civil Engineer in Society, Impact of infrastructural development on economy of country.
Chapter 3
Surveying: Object Principles & Types of Surveying; Site Plans, Plans & Maps; Scales & Unit of different Measurements.
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Chapter 6
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Water Pollution: Water Quality standards, Introduction to Treatment & Disposal of Waste Water. Reuse and Saving of Water, Rain Water Harvesting. Solid Waste Management: Classification of Solid Waste, Collection, Transportation and Disposal of Solid. Recycling of Solid Waste: Energy Recovery, Sanitary Landfill, On-Site Sanitation. Air & Noise Pollution: Primary and Secondary air pollutants, Harmful effects of Air Pollution, Control of Air Pollution. . Noise Pollution Harmful Effects of noise pollution, control of noise pollution, Global warming & Climate Change, Ozone depletion, Greenhouse effect
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Chapter 3.2 bt
- 1. MODERN GEOMETRY 3.1, 3.2 Thompson
- 2. LOOSE ENDS
- 3. LOOSE ENDS
- 4. LOOSE ENDS 0 1 2 3 4Stage: 243in2
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- 11. CIRCUMFERENCE OF A CIRCLE rrC 2
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- 13. AREA OF A CIRCLE r 2 rA
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