Pearson Baccalaureate Mathematical Studies 2e uPDF
3.490 kr.
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Pearson Baccalaureate Mathematical Studies 2eAnnað
- Höfundar: David Wees, Roger Brown, Ron Carrell
- Útgáfa:1
- Útgáfudagur: 20-07-2020
- Hægt að prenta út 2 bls.
- Hægt að afrita 2 bls.
- Format:Page Fidelity
- ISBN 13: 9781292371733
- Print ISBN: 9781447938477
- ISBN 10: 1292371730
Efnisyfirlit
- Dedication
- Contents
- Introduction
- Chapter 1: Prior Learning Topics
- 1.1: Numbers
- Classifying numbers
- Order of operations
- Number theory
- Ratios, percentages and proportions
- 1.2: Fractions
- Simplifying fractions
- Multiplying fractions
- Dividing fractions
- Adding and subtracting fractions
- 1.3: Algebra
- Expanding and factorizing
- Rearranging formulae
- Evaluating expressions
- Solving linear equations in one variable
- 1.4: Algebra extended
- Rewriting linear equations in two variables
- Solving a system of linear equations in two variables
- Order relations
- Intervals on a real number line
- 1.5: Geometry
- Basic concepts
- Perimeter and areas of two-dimensional shapes
- Plotting on the x-, y-coordinate plane
- Midpoint of a line segment
- Right triangles and Pythagoras’ theorem
- Distance between two points
- 1.6: Financial mathematics
- World currencies
- Currency conversion
- 1.7: Statistics
- Data collection
- Bar charts
- Pie charts
- Pictograms
- 1.1: Numbers
- 2.1: Organization of numbers
- Rational numbers
- Real numbers
- 2.2: Numbers in calculations
- Estimation
- 2.3: Standard form
- 2.4: International units of measure
- 2.5: Currency conversions
- Commission
- 2.6: Simultaneous equations
- Elimination
- Substitution
- Using your GDC
- 2.7: Quadratic equations
- Solving by factorizing when a = 1
- Solving by factorizing when a = 2
- Solving using the quadratic formula
- Solving using the GDC
- 3.1: The equation of a line
- 3.2: The gradient of a line
- 3.3: The intercepts of a line
- 3.4: Intersection of two lines
- 3.5: Parallel and perpendicular lines
- 4.1: Relations and functions
- 4.2: Domain and range
- Finding domain algebraically
- Finding domain and range graphically
- 4.3: Function notations
- 4.4: Linear functions
- Producing a table of values
- Finding functional values
- Finding x- and y-intercepts
- Using one ordered pair and the gradient
- General form of a linear function
- Graphing linear functions
- Writing linear functions
- 4.5: Linear model
- 4.6: Quadratic functions
- Point-plotting using a table of values
- Plotting the x- and y-intercepts and the vertex
- The axis of symmetry
- Graphing quadratic functions using translations
- Graphing quadratic functions that are stretched
- Solving quadratic equations using accurately drawn graphs
- 4.7: Quadratic models
- 4.8: Exponential functions
- Exponential expressions
- Exponential functions
- Graphing exponential functions
- The ‘Guess and Check’ method and logarithms
- 4.9: Exponential models
- 5.1: Higher order polynomial functions
- Third degree polynomial functions
- Fourth degree polynomial functions and beyond
- 5.2: Rectangular hyperbolic functions
- Graphing the rectangular hyperbola
- 5.3: Unfamiliar functions
- Graphing unfamiliar functions
- 5.4: Solving equations involving combinations of unfamiliar functions
- Further methods for solving equations
- 6.1: Advanced right-angled trigonometry
- The sine, cosine, and tangent of an angle
- 6.2: Further right-angled trigonometry
- 6.3: The sine rule
- 6.4: The cosine rule
- 6.5: The area of a triangle
- 6.6: The geometry of three-dimensional solids
- 6.7: Application of three-dimensional geometry
- 7.1: Arithmetic sequences
- 7.2: Arithmetic series
- Sigma notation
- 7.3: Geometric sequences
- 7.4: Geometric series
- 7.5: Compound interest
- 7.6: Financial maths on the calculator
- 7.7: Inflation and depreciation
- 8.1: Introduction to set theory
- 8.2: Subsets and complements of sets
- 8.3: The union and intersection of sets
- 8.4: Introduction to Venn diagrams
- 8.5: Applications of Venn diagrams
- 8.6: Venn diagrams involving three sets
- 9.1: Introduction to symbolic logic
- 9.2: Implication and equivalence
- 9.3: Negation and conjunction
- 9.4: Disjunction and exclusive disjunction
- 9.5: Truth tables
- 9.6: Inverse, converse, contrapositive
- 9.7: Logical equivalence, tautologies, and contradictions
- 10.1: Diagrams for experiments
- 10.2: Classical probability
- 10.3: Mutually exclusive events
- 10.4: Combined events
- 10.5: Independent even
- 10.6: Dependent events
- 10.7: Conditional probability
- 10.8: The probability of ‘at least one’
- 10.9: Summarization of the laws of probability
- 10.10: Connecting independent and mutually exclusive events
- 11.1: Classification of data
- 11.2: Discrete data
- 11.3: Continuous data
- Constructing a frequency distribution table
- 11.4: Measures of central tendency
- 11.5: Graphs of continuous data
- 11.6: Box-and-whisker diagram
- 11.7: Measures of dispersion
- Notations for standard deviation: sx vs σx
- 12.1: The normal distribution
- Properties of the normal distribution.
- The inverse normal distribution
- 12.2: Line of best fit (the regression line)
- Positive or negative correlation
- Strength of the correlation and r values
- Linear regression
- Using your GDC to check your work
- Additional notes tying together the concepts and techniques
- Examples of scatter plot visuals
- A summary
- Drawing a regression line by eye
- 12.3: Hypothesis testing
- Two specific examples of hypothesis testing
- 12.4: The chi-square hypothesis test
- Chi-square using a GDC
- 12.5: The chi-square test – manual working
- One final example for x 2
- 13.1: The definition of the derivative
- Returning to Example 13.1
- 13.2: The power rule
- 13.3: Gradients of curves and equations of tangents and normals
- 13.4: Increasing and decreasing functions
- 13.5: Applications of calculus
- Preparing for your IB exams
- First practice exam
- Second practice exam
- Solutions to first practice exam
- Solutions to second practice exam
- Time management during the project
- The assessment criteria
- Sample project ideas
- Project checklist
- Sample IB project – Relationship between temperature and precipitation
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- Gerð : 208
- Höfundur : 6369
- Útgáfuár : 2020
- Leyfi : 380