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CASIO ESSENTIAL MATERIALS

CASIO
ESSENTIAL
MATERIALS

CASIO ESSENTIAL MATERIALS

CASIO original teaching materials specialized for fx-991CW
Total number of pages: 900 pages or more
Covers all high school units

  • Even beginners can start classes using scientific calculators.
  • You can make full use of the functions of the scientific calculator for each learning item
  • With detailed explanation using keylog display
  • Simple and easy-to-read design
  • Comes with practice questions that students can try on their own

If you register with CASIO ID MEMBERS, you can download CASIO ESSENTIAL MATERIALS for free.

*If you are not registered with a CASIO ID MEMBERS, you will not be able to download CASIO ESSENTIAL MATERIALS.

Features of this book

The teaching materials were developed to communicate the appeal of scientific calculators to teachers and students. They aim to change awareness and enhance learning efficiency in mathematics by minimizing time spent on manual calculations, reducing aversion to complex math. These materials also promote diversification in learning and problem-solving methods, particularly beneficial for real-life scenarios with complex values. Lastly, creative use of various calculator functions facilitates a deeper understanding of mathematical concepts, encouraging exploratory learning and visualization of numerical values through tables without the need for listing or numbering.

Scientific Calculator Basics & Beyond

As well as providing first-time scientific calculator users with opportunities to learn basic scientific calculator functions from the ground up, the book also has material to show people who already use scientific calculators the appeal of scientific calculators described above.

Exploring CASIO Calculator Functions

You can also learn about functions and techniques that are not available on conventional Casio models or other brands of scientific calculators.

High School Math Covered

This book covers many units of high school mathematics, allowing students to learn how to use the scientific calculator as they study each topic.

Classroom to Homework

This book can be used in a variety of situations, from classroom activities to independent study and homework by students.

Structure

1

 TARGET

This book covers many units of high school mathematics, allowing students to learn how to use the scientific calculator as they study each topic.

2

 STUDY GUIDE

Mathematical theorems and concepts are explained in detail. A scientific calculator is used to check and derive formulas according to the topic.

3

 EXERCISE

Students learn basic examples based on the explanation provided in the Study Guide.

4

 check

Explains how to use the scientific calculator to solve and calculate problems.

5

 PRACTICE

Students can do practice problems similar to those in EXERCISE. They can also practice using the scientific calculator, applying what they learned in the check sections.

6

 ADVANCED

Practical problems have been included in several topics. Solutions using a scientific calculator are also presented as necessary.

We also have a PowerPoint version available to project on a screen for use in class.

Table of contents

01 Algebraic Expressions and Linear Inequalities
  1. Addition and subtraction of expressions
  2. Expanding expressions (1)
  3. Expanding expressions (2)
  4. Expanding expressions (3)
  5. Factorization (1)
  6. Factorization (2)
  7. Factorization (3)
  8. Factorization (4)
  9. Expanding and factorizing cubic polynomials
  10. Real numbers
  11. Absolute values
  12. Calculating expressions that include root signs (1)
  13. Calculating expressions that include root signs (2)
  14. Calculating expressions that include root signs (3)
  15. Linear inequalities (1)
  16. Linear inequalities (2)
  17. Simultaneous inequalities
  18. Equations and inequalities with absolute values
02 Quadratic Functions
  1. Quadratic functions
  2. Quadratic function graphs (1)
  3. Quadratic function graphs (2)
  4. Quadratic function graphs (3)
  5. Quadratic function graphs (4)
  6. Determining equations of quadratic functions
  7. Maximums and minimums of quadratic functions (1)
  8. Maximums and minimums of quadratic functions (2)
  9. Maximums and minimums of quadratic functions (3)
  10. Maximums and minimums of quadratic functions (4)
  11. Common points on the x axis of graphs of quadratic functions (1)
  12. Common points on the x axis of graphs of quadratic functions (2)
  13. Common points on parabolas and lines
  14. Quadratic inequalities
  15. Conditions under which quadratic inequalities have solutions
  16. Conditions to solve quadratic equations
03 Trigonometry
  1. Defining a trigonometric ratio
  2. Finding a side
  3. Finding an angle
  4. Relation between sine and cosine
  5. Trigonometric ratio formula including tangent
  6. Trigonometric ratio for (90°-A)
  7. Trigonometric ratio of obtuse angles
  8. Trigonometric ratio for (180°-θ)
  9. Linear gradients and tanθ
  10. Correlation of trigonometric ratios of obtuse angles
  11. Sine formula
  12. Cosine formula
  13. Sine formula and cosine formula
  14. Formula for the area of a triangle
04 Trigonometric Functions
  1. General angles
  2. Radian system
  3. Arc length and area of a sector
  4. Trigonometric functions
  5. Correlation of trigonometric functions
  6. asinθ and acosθ graphs
  7. sinkθ and coskθ graphs
  8. sin(θ-p) and cos(θ-q) graphs
  9. tanθ graphs
  10. Properties of trigonometric functions
  11. Equations and inequalities involving trigonometric functions
  12. Addition theorem for trigonometric functions
  13. Double-angle formulas
  14. Half-angle formulas
  15. Composite trigonometric functions
  16. Formulas for sums and products
05 Exponential and Logarithmic Functions
  1. Exponentiation
  2. Laws of exponents
  3. Expanding exponents (1)
  4. Expanding exponents (2)
  5. Calculations using the laws of exponents
  6. Significant digits
  7. Real-life uses of exponents
  8. Exponential function graphs
  9. Uses of exponential functions
  10. Equality relationship and magnitude relationship for bases of the same number
  11. Equality and magnitude relationships of exponents that are the same number
  12. Exponential equations
  13. Exponential inequalities
  14. Uses of exponential equations and exponential inequalities
  15. Relation between exponents and logarithms
  16. Properties of logarithms
  17. Change-of-base formula
  18. Logarithmic function graphs
  19. Properties and magnitude of logarithmic functions
  20. Logarithmic equations & logarithmic inequalities
  21. Common logarithms
06 Equations of Lines and Circles
  1. Internal division and external division
  2. Points on a plane (1)
  3. Points on a plane (2)
  4. Equation of a line
  5. Relation of 2 lines (1)
  6. Relation of 2 lines (2)
  7. Relation of 2 lines (3)
  8. Distance between points and lines
  9. Equations for circles (1)
  10. Equations for circles (2)
  11. Circles and lines (1)
  12. Circles and lines (2)
  13. 2 circles (1)
  14. 2 circles (2)
  15. Loci and equations (1)
  16. Loci and equations (2)
  17. Domains expressed by inequalities (1)
  18. Domains expressed by inequalities (2)
  19. Domains expressed by inequalities (3)
  20. Domains expressed by inequalities (4)
  21. Domains expressed by inequalities (5)
07 Formulas and Proofs
  1. Formulas for expanding cubic polynomials
  2. Formulas for factorizing cubic polynomials
  3. Binomial theorem
  4. Use the binomial theorem to expand equations
  5. Multiplication and division of fractional expressions
  6. Addition and subtraction of fractional expressions
  7. Problems to find the values of sums and products
  8. Dividing integer polynomials
  9. Dividing integer polynomials and the remainder theorem
  10. Factor theorem and factorizing cubic polynomials
  11. Identities
  12. How to determine constants in identities
  13. Proving equalities
  14. Proving inequalities
08 Advanced Expressions and Functions
  1. Parametrization of a curve
  2. Parametrization by using trigonometric functions
  3. Polar and cartesian coordinates
  4. Polar equations
  5. Equations using polar equations and cartesian coordinates
  6. Fractional function graphs
  7. Fractional function graphs and common points of lines
  8. How to solve fractional inequalities
  9. Irrational function graphs
  10. Irrational function graphs and common points of lines
  11. How to solve irrational inequalities
  12. Inverse functions and composite functions
09 Complex Numbers
  1. Equality of irrational numbers
  2. Imaginary units i and complex numbers
  3. Determining solutions to quadratic equations
  4. Relation between solutions and coefficients
  5. Problems to find the values by the relation between solutions and coefficients
  6. Methods to solve higher-order equations
  7. Relation between solutions and coefficients in cubic equations
  8. Complex numbers
  9. The complex number plane
  10. Polar form of complex numbers
  11. Multiplying & dividing polar forms
  12. De Moivre's theorem
  13. The n-th root of complex numbers
  14. Plane figures and complex numbers
10 Sequences
  1. Sequences
  2. Arithmetic progression
  3. Sums of arithmetic progressions (1)
  4. Sums of arithmetic progressions (2)
  5. Geometric progressions
  6. Sums of geometric progressions (1)
  7. Sums of geometric progressions (2)
  8. Summation symbol Σ
  9. Progression of differences
  10. Sums and general terms of sequences
  11. Sums of various sequences (1)
  12. Sums of various sequences (2)
  13. Grouping sequences
  14. Recurrence formula (1)
  15. Recurrence formula (2)
  16. Various recurrence formulas (1)
  17. Various recurrence formulas (2)
  18. Various recurrence formulas (3)
  19. | Mathematical induction (1)
  20. Mathematical induction (2)
11 Vectors
  1. Vectors
  2. Vector operations
  3. Components of vectors
  4. Vector operations with components
  5. Deformation of vectors
  6. Parallel vector conditions
  7. Vector resolution
  8. Inner products of vectors
  9. Calculating angles formed by vectors
  10. Perpendicular vector conditions
  11. How to find perpendicular vectors
  12. Properties of inner products
  13. Position vectors, and internal dividing points and external dividing points
  14. Position vectors of the midpoint and center of gravity
  15. Conditions of figures
  16. Formula for the area of a triangle
  17. Spatial vectors
  18. Spatial coordinates
  19. Components of spatial vectors
  20. Internal dividing points and external dividing points
  21. Inner products of spatial vectors
  22. Outer products of vectors
12 Statistics
  1. Class and frequency
  2. Histograms
  3. Relative frequency
  4. How to describe the characteristics of data distribution
  5. How to use data
  6. Relative frequency and probability
  7. Quartiles and box-and-whisker plots
  8. Using histograms and box-and-whisker plots
  9. Distribution of data
  10. Data correlation
13 Sets
  1. Sets and elements
  2. Intersections, unions, and complements
  3. Intersections and unions of inequalities
  4. De Morgan's laws
  5. The problem of finding various sets
  6. Propositions: True/false and counterexamples
  7. Necessary conditions and sufficient conditions
  8. Negation of conditions
  9. Negations of “And” and “Or”
  10. Converse, inverse, and contraposition
  11. Proofs using contraposition
  12. Proofs using contradictions
14 Probability
  1. Number of cases
  2. Law of addition and law of multiplicationv
  3. Permutations
  4. Various permutations
  5. Circular permutations
  6. Repeated permutations
  7. Combinations
  8. Total number of groups
  9. Permutations containing similar things
  10. Shortest path
  11. Repeated combinations
  12. Numbers of sets and elements
  13. Events and probability
  14. Probabilities of various events
  15. Basic properties of probability (1)
  16. Basic properties of probability (2)
  17. Basic properties of probability (3)
  18. Probability of independent trials
  19. Probability of repeated trials (1)
  20. Probability of repeated trials (2)
  21. Conditional probability
  22. Calculating probability
  23. Expected value
15 Differential Calculus and Integral Calculus
  1. Average rate of change
  2. Limit values
  3. Differential coefficients
  4. Derivatives
  5. Properties of derivatives
  6. Equations of tangents
  7. Increasing/decreasing of functions and their local maximum/minimum (1)
  8. Increasing/decreasing of functions and their local maximum/minimum (2)
  9. Increase/decrease of functions and applicable graphs (1)
  10. Increase/decrease of functions and applicable graphs (2)
  11. Increase/decrease of functions and applicable graphs (3)
  12. Indefinite integrals
  13. Properties of indefinite integrals
  14. Properties of definite integrals
  15. Definite integrals and differential calculus
  16. Definite integrals and the area of a shape (1)
  17. Definite integrals and the area of a shape (2)
  18. Definite integrals and the area of a shape (3)
  19. Definite integrals and the area of a shape (4)
  20. Definite integrals and the area of a shape (5)
16 Limits
  1. Limits of sequences (convergence, divergence, and oscillation of infinite sequences)
  2. Squeeze theorem
  3. Limits of infinite geometric sequences
  4. Recurrence formula and limits
  5. Convergence and divergence of infinite series
  6. Convergence and divergence of infinite geometric series
  7. Properties of infinite series
  8. Limits of functions
  9. Limits of functions (indeterminate form)
  10. One-sided limits
  11. Limits of various functions and Napier’s number e
  12. Continuity of functions
  13. Intermediate-value theorem
17 Advanced Differential Calculus
  1. Product-quotient differentiation
  2. Differentiation of composite functions
  3. Differentiation of trigonometric functions
  4. Differentiation of exponential functions ex
  5. Differentiation of logarithmic functions
  6. Differentiation of exponential functions ax
  7. Differentiation of the function xp
  8. High-order derivatives
  9. Differentiation of implicit functions
  10. Differentiation of functions expressed as parameters
  11. Differentiation of logarithms
  12. Equation for a tangent
  13. Equation for a normal line
  14. Function increase/decrease and derivative signs
  15. Maximums and minimums of functions
  16. Maximum and minimum values of functions
  17. Concavity, convexity and inflection points of curves
  18. How to draw graphs of functions
  19. 2nd-order derivatives and extrema
  20. Proving inequalities
  21. Number of real roots of equations
  22. 1st order approximation of a function f(x)

QR Code Link Feature

The teaching materials were developed to communicate the appeal of scientific calculators to teachers and students. They aim to change awareness and enhance learning efficiency in mathematics by minimizing time spent on manual calculations, reducing aversion to complex math. These materials also promote diversification in learning and problem-solving methods, particularly beneficial for real-life scenarios with complex values. Lastly, creative use of various calculator functions facilitates a deeper understanding of mathematical concepts, encouraging exploratory learning and visualization of numerical values through tables without the need for listing or numbering.

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How to Get CASIO ESSENTIAL MATERIALS

If you register with CASIO ID MEMBERS, you can download CASIO ESSENTIAL MATERIALS for free.

*If you are not registered with a CASIO ID MEMBERS, you will not be able to download CASIO ESSENTIAL MATERIALS.

CASIO Essential Materials
Publisher : CASIO Institute for Educational Development
Date of Publication : 2023/11/10 (1st edition)
Copyright © 2023 CASIO COMPUTER CO., LTD.

(1) Teachers may freely copy and distribute materials for use by students and in classes only.
*However, publishing on the web or sending all at once to an unspecified number of people is prohibited.
(2) If you wish to copy, edit, distribute, or use the content for purposes other than those listed above, permission from Casio Computer Co., Ltd. is required.

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