Alg1 sections 1.1-1.2
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This document summarizes key concepts from the first chapter of a math textbook. It begins by explaining the order of operations using PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction). It then defines powers and exponents. Several examples of evaluating expressions and solving equations are provided. The document concludes by listing vocabulary terms and practice problems for students to complete.
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This document discusses graphing the 12 basic functions in mathematics. It provides an example of graphing the 12 basic functions and mentions that graphing these functions is an example. The document repeats the phrase "Graph the 12 Basic Functions" three times.
Alg 2 sections 2.1
This document discusses relations and functions. It defines a relation as a mapping or pairing of input and output values, with the input set called the domain and output set called the range. Relations can be represented through tables, mapping diagrams, ordered pairs, and graphs. The document defines a function as a special type of relation where each input has exactly one output; if any input has more than one output it is not a function. Examples of functions and non-functions are provided. Homework problems from the textbook are listed at the end.
Section 1.1
The document discusses mathematical modeling and functions. It defines a mathematical model as a structure that approximates real-world phenomena to study or predict behavior. It then discusses numerical, algebraic and graphical models. It also discusses functions, including defining them, representing them with equations, graphs and mappings, and determining their domains and ranges. It provides examples of finding domains and ends with homework problems assigned.
Section 1.1
The document discusses mathematical modeling and functions. It defines mathematical modeling as using mathematical structures to approximate real-world phenomena in order to study or predict behavior. It then discusses different types of mathematical models like numerical, algebraic and graphical models. The rest of the document focuses on defining and representing functions, including discussing domain and range, and ways to find the domain of a function either algebraically or graphically. It concludes by listing specific homework problems.
Alg2 section 1.7
This document discusses how to solve absolute value equations and inequalities in 3 sections: the first section explains absolute value, the second section provides instructions for solving absolute value equations, and the third section gives directions for solving absolute value inequalities and includes an application example.
Pa section 1.6
The document defines and provides examples of calculating the median, mode, and range of data sets. It explains that the median is the middle value of a data set in numerical order, or the mean of the two middle values for an even number of values. The mode is the value that occurs most frequently. The range is the difference between the greatest and least values. Examples are provided to demonstrate calculating each metric for temperature and score data sets.
Pa section 1.6
The document defines and provides examples of calculating the median, mode, and range of data sets. It explains that the median is the middle value of a data set in numerical order, or the mean of the two middle values for an even number of values. The mode is the value that occurs most frequently in a data set. The range is the difference between the greatest and least values. Examples are given of calculating each for a set of monthly temperature data.
Alg 2 section 1.6
The document discusses solving linear inequalities and includes three topics: forms of linear inequalities, compound inequalities, and homework assigned which includes odd numbered problems 23 through 33 and 37 through 47 on page 45 of the text.
Pc sections p.6-p.7
This document lists key properties of numbers and operations covered in two sections. Section P.6 covers commutative and associative properties of addition and multiplication as well as the distributive property of multiplication over addition and subtraction. Section P.7 directs students to complete specific math problems from two different pages focusing on odd numbered questions.
Alg 1 sections 1.5-1.6
1. This document discusses different ways to represent functions including equations, tables, and mapping diagrams. It provides examples of each.
2. Strategies for solving problems are outlined, including using formulas, patterns, and drawing diagrams. Specific math problems are provided as examples.
3. Homework assignments are listed at the end, including problem numbers from pages 31-32 and 38-39.
Pc sections p.4-p.5
This document provides an overview of topics in algebra including:
1) Different forms of equations for lines (slope-intercept, point-slope, etc.) and quadratics (general, vertex).
2) How to determine if lines are parallel or perpendicular.
3) Methods for graphing and solving linear and quadratic equations (finding intercepts, using a graphing calculator, extracting roots, using the quadratic formula).
4) An example word problem on investing money with different interest rates and determining the amount to invest to earn a target return.
5) Assigned homework problems from the textbook.
Pa sections 1-2
This document provides instructions for performing common mathematical operations like addition, subtraction, multiplication, and division. It includes examples of writing down a number and then performing sequential operations on it like doubling, adding or subtracting other numbers, dividing, and subtracting the original number. The document also lists common words used to indicate different operations and directs the reader to specific math problems to complete on designated pages.
Alg1 sections 1.1-1.2
This document summarizes key concepts from sections 1 and 2 of chapter 1 including:
- PEMDAS order of operations with parentheses, exponents, multiplication/division, addition/subtraction.
- Definitions of powers/exponents as repeated multiplication with a base and exponent.
- Examples of evaluating expressions and algebraic equations.
- Formulas for estimating a frog's jump distance, points earned in soccer, and adult height based on childhood height.
- Practice problems listed for pages 5-7 and 10-12.
Pc sections p.1-p.3
This document provides an overview of number types including real numbers, imaginary numbers, rational numbers, irrational numbers, integers, whole numbers, and natural numbers. It also covers interval notation and types of intervals. Key concepts covered include the x-axis, y-axis, origin, ordered pairs, coordinates, quadrants, absolute value, distance formula, midpoint formula, and the standard form of a circle. Practice problems are assigned from pages 9-10, 17-19, and 25-27 of the text.
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History and Formation
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Delhi Daredevils (now Delhi Capitals)
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Kolkata Knight Riders (KKR)
Mumbai Indians (MI)
Rajasthan Royals (RR)
Royal Challengers Bangalore (RCB)
Deccan Chargers (now defunct, replaced by Sunrisers Hyderabad)
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Iconic Players and Performances
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Sachin Tendulkar (MI): The "Little Master" brought his legendary status to the IPL, winning the Orange Cap (top run-scorer) in 2010.
Chris Gayle (RCB, KXIP): Known for his explosive batting, Gayle holds the record for the highest individual score in an IPL match (175*).
MS Dhoni (CSK): Dhoni's leadership has been instrumental in CSK's success, leading them to multiple titles.
AB de Villiers (RCB): Renowned for his innovative stroke play, de Villiers has been a consistent match-winner.
Virat Kohli (RCB): The highest run-scorer in IPL history, Kohli's batting prowess is unmatched.
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But Julian Nagelsmann will be out to recuperate the spirits of the home nation and recent victories over France and the Netherlands in friendly contests was a sign that Germany will be among the competitors for the title this summer.
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Midfielders: Toni Kroos (Real Madrid), Jamal Musiala (Bayern Munich), Aleksandar Pavlovic. Although, Robert Andrich (Bayer Leverkusen), Chris Fuhrich (Stuttgart), Pascal Gross (Brighton and Hove Albion). Florian Wirtz (Bayer Leverkusen), Ilkay Gundogan (Barcelona), (Bayern Munich), Leroy Sane (Bayern Munich)
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Alg1 sections 1.1-1.2
- 1. Chapter 1 Sections 1 and 2
- 3. PEMDAS Parenthesis Exponents Multiplication and division. As they appear from left to right. Addition and subtraction. As they appear from left to right.
- 4.
- 5. A power is an expression that represents repeated multiplication of the same factor. Example – 64 is a power of 4 because 4 x 4 x 4 equals 64 A power can be written using two numbers a base and an exponent. n2 n to the second or n squared n3 n to the third or n cubed n4 n to the fourth n5 n to the fifth
- 6.
- 7. 8 / 20 / 13
- 8. 13 – 8 + 3
- 9. You can estimate the distance in cm that a leopard frog can jump using the expression 13l where l is the frog’s length in cm. What distance can a leopard frog that is 12.5 cm long jump?
- 10. Olivia was the leading scorer on her soccer team. She scored 120 goals and had 20 assists in her DIS career. (a) The number n of points awarded for goals is given by 2g where g is the number of goals scored. How many points did Olivia earn for goals? (b) The point total is given by n +a where a is the number of assists. Use your answer from part (a) to find Olivia’s point total.
- 11. If you know how tall you were at the age of 2, you can estimate your adult height (in inches). Girls can use the expression 25 + 1.17h where h is the height (in inches) at the age of 2. Boys can use the expression 22.7 + 1.37h. Estimate the adult height of each person to the nearest inch. (a) A girl who was 34 inches tall at age 2. (b) A boy who was 33 inches tall at age 2.
- 12. PEMDAS Operation Grouping symbols Variable Algebraic expression Evaluate Power Base Exponent
- 13. Pages 5-7 #3-15, 19, 23, 27-45 odd, 48, 51, 54 Pages 10-12 #3-19, 21-33 odd, 35, 38, 39