The Parabola What is a Parabola? A quadratic expression is an expression in which the highest power of is 2. Consider the following: The above equations are all quadratic expressions as the highest power of is 2. When a quadratic function is graphed‚ the resulting curve is called a parabola‚ as demonstrated in figures 1 and 2. Real Life Application A quadratic function and parabola can be used when undertaking a new business venture to determine the optimum sales price of a particular
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Everything Maths Grade 11 Mathematics Version 0.9 – NCS by Siyavula and volunteers Copyright notice Your freedom to legally copy this book You are allowed and encouraged to freely copy this book. You can photocopy‚ print and distribute it as often as you like. You can download it onto your mobile phone‚ iPad‚ PC or flash drive. You can burn it to CD‚ e-mail it around or upload it to your website. The only restriction is that you have to keep this book‚ its cover and short-codes unchanged
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3.5 Estimating the mean of grouped data 3.6 Moving averages Chapter summary Chapter review questions 31 31 34 36 38 41 44 47 47 MODULE 3 6 Number 6.1 6.2 Properties of whole numbers Multiplication and division of directed numbers M4 6.3 Squares‚ cubes 6.4 Index laws 6.5 Order of operations 6.6 Using a calculator 6.7 Prime factors‚ HCF and LCM Chapter summary Chapter review questions 97 97 98 100 101 102 104 106 110 110 Chapter summary Chapter review questions 124 124 8 Expressions
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Grade A or A* in the following topics: 1. Surds 2. Recurring Decimals 3. Limits of Accuracy 4. Indices 5. Proportionality 6. Rearranging Formulae 7. Algebraic Fractions 8. Using Graphs 9. Quadratic Equations 10. Simultaneous Equations 11. Algebraic Proofs 12. Circle Theorems 13. Trigonometry – for triangles which are not right-angled 14. Vectors 15. Similar Triangles 16. Congruent Triangles 17. Scale Factors – for volumes & surface areas
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Unit 2: Checklist Higher tier (43602H) recognise integers as positive or negative whole numbers‚ including zero work out the answer to a calculation given the answer to a related calculation multiply and divide integers‚ limited to 3-digit by 2-digit calculations multiply and divide decimals‚ limited to multiplying by a single digit integer‚ for example 0.6 × 3 or 0.8 ÷ 2 or 0.32 × 5 or limited to multiplying or dividing by a decimal to one significant figure‚ for example 0.84 × 0.2 or 6.5 ÷ 0
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prepares students to take the International Baccalaureate Mathematics exam at the Standard level. | |Topics include operations and properties of number sets; trigonometric functions‚ equations‚ and graphs; algebra and coordinate geometry; | |simultaneous linear equations; polynomial and quadratic functions and equations; calculus‚ including bilinear‚ exponential and logarithmic | |functions; two dimensional vectors and matrices; and probability.
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MIDTERM NOTES Solve Linear Equations 0. Cancel all denominators by multiplying every term by the LCD. 1. Simplify LHS and RHS. 2. Eliminate variable term on RHS. 3. Eliminate variable term on LHS. 4. Eliminate the coefficient of the variable. Solve Rational Equations 1. Find LCD. 2. Cancel all denominators by multiplying every term by the LCD. 3. Solve. 4. Omit those solutions that make LCD=0. Complex Numbers: a + bi Powers of i: i0 = 1‚ i1 = i‚ i2 = −1‚ i3 = −i in = ir where r is the
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ADDRESS: _________ _______ PHONE: ______________________________ 1. COURSE DESCRIPTION: The essentials of college algebra. Topics include polynomials‚ first degree equations‚ word problems‚ graphing‚ and systems of linear equation‚ factoring‚ exponents‚ quadratic equations‚ matrices‚ and radicals. 2. COURSE OBJECTIVES: Upon completing this course students should have an in depth understanding of data analysis‚ graphing data‚ stating a problem in mathematical format‚ solving various algebraic expressions
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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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to functions in general 1.1 Define a function 1.2 Differentiate a function from a mere relation * real life relationships * set of ordered pairs * graph of a given set of ordered pairs * vertical line test * given equation 1.3 Illustrate the meaning of the functional notation f(x) 1.4 Determine the value of f(x) given a value for x B. Linear Functions 1. Demonstrate knowledge and skill related to linear functions and apply in solving problems
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