shows the parabola y = (7 – x)(l + x). The points A and C are the x-intercepts and the point B is the maximum point. Find the coordinates of A‚ B and C. (Total 4 marks) 4. Find the sum of the arithmetic series 17 + 27 + 37 +...+ 417. (Total 4 marks) 5. Consider the arithmetic sequence 2‚ 5‚ 8‚ 11‚ ..... (a) Find u101. (3) (b) Find the value of n so that un = 152. (3) (Total 6 marks) 6. Gwendolyn added the multiples of 3‚ from 3 to 3750 and found that 3 + 6 + 9 + … + 3750 = s
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Score: ______ / ______ Name: ______________________________ Student Number: ______________________ 1. Elsie is making a quilt using quilt blocks like the one in the diagram. a. How many lines of symmetry are there? Type your answer below. There are 4 line of symmetry. b. Does the quilt square have rotational symmetry? If so‚ what is the angle of rotation? Type your answers below. The quilt square have rotational symmetry of 90. 2. Solve by simulating the problem. You
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Mathematics SL formula booklet 2 Topics Topic 1—Algebra 1.1 The nth term of an arithmetic sequence The sum of n terms of an arithmetic sequence The nth term of a geometric sequence un = u1 + (n − 1)d S n= n n (2u1 + (n − 1)d ) = (u1 + un ) 2 2 un = u1r n −1 The sum of n terms of a u1 (r n − 1) u (1 − r n ) ‚ r ≠1 = = 1 Sn finite geometric sequence r −1 1− r The sum of an infinite geometric sequence 1.2 Exponents and logarithms Laws of logarithms S∞ = u1 ‚ r 0 − cos ∫ sin x dx
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CONTENTS INTRODUCTION 3 DESCRIPTION 5 UNIT CREDIT 6 TIME ALLOTMENT 6 EXPECTANCIES 7 SCOPE AND SEQUENCE 8 SUGGESTED STRATEGIES AND MATERIALS 9 GRADING SYSTEM 10 LEARNING COMPETENCIES 11 SAMPLE LESSON PLANS 30 INTRODUCTION This Handbook aims to provide the general public – parents‚ students‚ researchers‚ and other stakeholders – an overview of the Mathematics program at the secondary level. Those in education‚ however‚ may use it as a
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proportions Percentages Conversions between fractions and decimals Multiples and factors of integers Absolute values of numbers Averages (arithmetic means) Order concepts (greater than; less than) Estimation skills Number theory Counting problems and simple probability 11 20 14 9 10 15 1 3 3 10 1 <1 1 2 Computing and Arithmetic Average 1. What is the average (arithmetic mean) of 8‚7‚7‚5‚3‚2 and 2? A. 34/7 B. 45/6 C. 46/7 D. 5 E. 64/5 Basic Operations with Decimals 2. Ben is making wooden toys for the
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Republic of the Philippines LAGUNA STATE POLYTECHNIC UNIVERSITY Siniloan (Host) Campus Siniloan‚ Laguna Field Study and Pre-Service Teaching Portfolio Prepared by: ALELI M. ARIOLA Pre-Service Teacher ARLENE G. ADVENTO BSEd – Mathematics‚ Pre-Service Teacher Supervisor CORAZON N. SAN AGUSTIN‚ Ph. D. Dean‚ College of Teacher Education ACKNOWLEDGMENT
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Patterns and sequences are the basis of mathematical understanding. Based on geometry alone‚ many special patterns evolve‚ such as the square numbers‚ triangular numbers‚ and much more. The Stellar Numbers are mostly used in astronomy and astrology. Stellar Numbers are figurate numbers based on the number of dots that can fit into a midpoint to form a star shape. The points of the star determine the number of points plotted around the midpoint. Triangular numbers is a figurate number system that
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pattern is indicating an arithmetic progression sequence. Arithmetic progression is described as common difference between sequences of numbers. In a specific sequence‚ each number accordingly is labelled as an. the subscript n is referring to the term number‚ for instance the 3rd term is known as a3. The formula‚ an = a1 + (n – 1) d‚ can be used to find an‚ the unknown number in the sequence. The variable d represents the common difference between the numbers in the sequence. In the first equation
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Universities / Institutes mainly takes the following syllabus : Mathematics Algebra Sets‚ Relations‚ Functions‚ Elementary Number Theory Including the relation of congruence Modulo‚ Simultaneous linear / quadratic equations‚ Indices‚ Logarithms‚ Arithmetic‚ Geometric and Harmonic progressions‚ Binomial theorem‚ Surds‚ Complex numbers‚ Demoivre’s theorem and its simple application Matrics & Determinants Matrix operations‚ Definition and properties of determinats‚ Cofactors‚ Adjoint‚ Elementry Transformations
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central tendency which are generally used in business: Arithmetic mean Geometric mean Harmonic Mean Median Mode Arithmetic mean: Arithmetic mean is defined as the sum of all observations divided by the total number of observations. Calculation of Arithmetic Mean-Ungrouped Data: For ungrouped data‚ arithmetic mean may be computed by applying any of the following methods: Direct method Short-cut method Direct method: The arithmetic mean‚ often simply referred to as mean‚ is the total
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