Maths Grade 9-12 PDF

ይህን ፕሮግራም ከመጠቀማችሁ በፊት ከዚህ በታቸ ያለውን ሊንክ በመጫን ቪድዮ ማየት ግዴታ ነው:: https://youtu.be/TEv5JOoBrdU?t=552  Grade 9 unit 1: The number system After completing this unit, you should be able to:  Know basic concepts and important facts about real numbers.  Ju...

ይህን ፕሮግራም ከመጠቀማችሁ በፊት ከዚህ በታቸ ያለውን ሊንክ በመጫን ቪድዮ ማየት ግዴታ ነው:: https://youtu.be/TEv5JOoBrdU?t=552  Grade 9 unit 1: The number system After completing this unit, you should be able to:  Know basic concepts and important facts about real numbers.  Justify methods and procedures in computation with real numbers.  Solve mathematical problems involving real numbers. Contents UEE Matric UEE UEE 2014-15 2008-10 2016 2016 Natural Social Natural 1.1 Revision on the set of rational Numbers 1.1.1 Natural Numbers, Integers, 1 2 1 Prime Numbers and Composite Numbers 1.1.2 Common Factors and 2 1 Common Multiples 1.1.3 Rational Numbers 2 1.2 The Real Number system 1.2.1 Representation of Rational 1 Numbers by Decimals 1.2.2 Irrational Numbers 3 1.2.3 Real Numbers 1.2.4 Exponents and Radicals 3 1.2.5 The Four Operations on Real 1 1 Numbers 1.2.6 Limits of accuracy 1 1.2.7 Scientific Notation 1 (Standard form) 1.2.8 Rationalization 1 1 1.2.9 Euclid's Division Algorithm  Grade 9 unit 2: Solution of Equation After completing this unit, you should be able to:  Identify equations involving exponents and radicals, systems of two linear equations, equations involving absolute values and quadratic equations.  solve each of these equations. Contents UEE Matric UEE UEE 2014-15 2008-10 2016 2016 Natural Social Natural 2.1 Equations involving 3 3 1 2 exponents and radicals 2.2 Systems of linear equations in two variables 1 3 1 2.3 Equations involving absolute value 1 2.4 Quadratic equations 1 4 1  Grade 9 unit 3: Further on Sets After completing this unit, you should be able to:  Understand additional facts and principles about sets.  Apply rules of operations on sets and find the result.  Demonstrate correct usage of venn diagrams in set operations.  Apply rules and principles of set theory to practical situations. Contents UEE Matric UEE UEE 2014-15 2008-10 2016 2016 Natural Social Natural 3.1 Ways to describe sets 4 1 3.2 The notion of sets 3 3.3 Operations on sets 2 7 2 2 Grade 9 unit 4 and Grade 11 unit 1: Relations and Functions After completing this unit, you should be able to:  Know specific facts about relation and function.  Know the inverse of a given relation.  Know types of functions.  Recognize real valued functions.  Know how to find compositions of functions.  Recognize inverse of a function.  Sketch the graph of the inverse function.  Understand how to apply relation and function in real life situations. *Understand the basic concepts and principles about combination of functions. * Sketch graphs of relations and functions (i.e. Of linear and quadratic functions. Contents UEE Matric UEE UEE 2008-15 2008-10 2016 2016 Natural Social Natural 1.1 Relations 2 4 1 1 1.2 Inverses of Relations and Their Graphs 1 1.3 Function and Types of Functions 3 1 1 1 1.4 Composition of Functions 4 1 1.5 Inverse Functions and Their Graphs 6 1 1 1.6 Applications 4. 3 Graph of function 1 1 1   Sketching graphs of quadratic functions, using the shifting rule Grade 9 unit 5: Geometry and Measurement After completing this unit, you should be able to:  Know basic concepts about regular polygons.  Apply postulates and theorems in order to prove congruence and similarity of triangles.  Construct similar figures.  Apply the concept of trigonometric ratios to solve problems in practical situations;  Know specific facts about circles.  Solve problems on areas of triangles and parallelograms. Contents UEE Matric UEE UEE 2014-15 2008-10 2016 2016 Natural Social Natural 5.1 Regular polygons 2 4 1 2 5.2 Further on congruency and similarity 1 3 1 5.3 Further on trigonometry 1 3 5.4 Circles 5 1 3 5.5 Measurement 4 13 1 1  Grade 9 unit 6 and Maths Grade 11 unit 8: Statistics and probability By the end of this unit, you will be able to:  Distinguish certain and uncertain events.  Know principles of counting.  Explain the concept of probability.  Understand Binomial Theorem.  Calculate the probability of an event.  Calculate the probability of a compound event.  Apply facts and principles in computation of probability.  Represent probabilities as fractions, decimals and percentages.  Interpret probabilities as fractions, decimals and percentages.  Represent the probability of an event as fraction or decimal between 0 and 1 or as a percentage.  Use probability concept to solve real life problems. Contents UEE Matric UEE UEE 2008-15 2008-10 2016 2016 Natural Social Natural 8.1 Introduction 8.2 Fundamental Principle of Counting 8.3 Permutations and Combinations 3 1 8.4 Binomial Theorem 1 1 8.5 Random Experiments and Their Outcomes 8.6 Events 1 8.7 Probability of an Event 18 4 2 8.8 Real-life Application of Probability  Grade 9 unit 7 and grade 11 unit 5: Vectors By the end of this unit, you will be able to:  Know basic concepts and procedures about vectors and operation on vectors.  Know specific facts about vectors.  Apply principles and theorem about vectors in solving problems involving vectors Contents UEE Matric UEE UEE 2008-15 2008-10 2016 2016 Natural Social Natural 5.1 Revision on Vectors and Scalars 2 5.2 Representation of Vectors 5.2.1 Components of vectors 5.2.2 addition and subtraction of vectors 5.2.3 Multiplication of vectors by scalar 5.2.4 Unit Vectors 5.2.5 Norm of vectors 15 2 1 1 5.3 Vector Product 7 5.4 Application of Scalar and Cross Product 5.5 Application of Vectors 1 5.6 Applications  Grade 10 unit 1: Polynomial Function After completing this unit, you should be able to:  Define polynomial functions.  Perform the four fundamental operations on polynomials.  Apply theorems on polynomials to solve related problems.  Determine the number of rational and irrational zeros of a polynomial.  Sketch and analyses the graphs of polynomial functions. Contents UEE Matric UEE UEE 2014-15 2008-10 2016 2016 Natural Social Natural 1.1 Introduction to polynomial functions 4 1 1 1.2 Theorems on polynomials 2 6 1 1 1.3 Zeros of polynomial functions 2 2 1 1.4 Graphs of polynomial functions 2  Grade 10 unit 2: Exponential and Logarithmic Function After completing this unit, you should be able to:  Understand the laws of exponents for real exponents.  Know specific facts about logarithms.  Know basic concepts about exponential and logarithmic functions.  Solve mathematical problems involving exponents and logarithms. Contents UEE Matric UEE UEE 2014-15 2008-10 2016 2016 Natural Social Natural 2.1 Exponents and logarithms 1 1 2.2 Exponential functions and their graphs 2 2 2.3 Logarithmic functions and their graphs 8 2.4 Equations involving exponents and logarithms 2 1 1 2.5 Applications of exponential and logarithmic functions 2  Grade 10 unit 3: Solving Inequalities After completing this unit, you should be able to:  Know and apply methods and procedures in solving problems on inequalities involving absolute value.  Know and apply methods for solving systems of linear inequalities.  Apply different techniques for solving quadratic inequalities. Contents UEE Matric UEE UEE 2014-15 2008-10 2016 2016 Natural Social Natural 3.1 Inequalities involving absolute value 1 2 1 1 3.2 Systems of linear inequalities in two variables 1 1 1 3.3 Quadratic inequalities 3 2 1 1  Grade 10: unit 4: Coordinate Geometry After completing this unit, you should be able to:  Apply the distance formula to find the distance between any two given points in the coordinate plane.  Formulate and apply the section formula to find a point that divides a given line segment in a given ratio.  Write different forms of equations of a line and understand related terms.  Describe parallel or perpendicular lines in terms of their slopes. Contents UEE Matric UEE UEE 2014-15 2008-10 2016 2016 Natural Social Natural 4.1 Distance between two points 1 3 1 4.2 Division of a line segment 1 1 1 4.3 Equation of a line 1 1 4.4 Parallel and perpendicular lines 3 1  Grade 10: unit 5: Trigonometric Functions After completing this unit, you should be able to:  Know principles and methods for sketching graphs of basic trigonometric functions.  Understand important facts about reciprocals of basic trigonometric functions.  Identify trigonometric identities.  Solve real life problems involving trigonometric functions. Contents UEE Matric UEE UEE 2008-15 2008-10 2016 2016 Natural Social Natural 5.1 Basic trigonometric functions 5 24 2 2 5.2 The reciprocals of the basic trigonometric functions 1 4 1 5.3 Simple trigonometric identities 1 2 1 5.4 Real life application problems 6  Grade 10: Unit 6: Plane Geometry After completing this unit, you should be able to:  Know more theorems special to triangles.  Know basic theorems specific to quadrilaterals.  Know theorems about circles and angles inside, on and outside a circle.  Solve geometrical problems involving quadrilaterals, circles and regular polygons. Contents UEE Matric UEE UEE 2014-15 2008-10 2016 2016 Natural Social Natural 6.1 Theorems on triangles 1 1 6.2 Special quadrilaterals 1 6.3 More on circles 5(rep..) 1(rep..) 3(rep..) 6.4 Regular polygons 2(rep..) 4(rep..) 1(rep..) 2(rep..)  Grade 10 unit 7: Measurement After completing this unit, you should be able to:  Solve problems involving surface area and volume of solid figures.  Know basic facts about frustums of cones and pyramids. Contents UEE Matric UEE UEE 2014-15 2008-10 2016 2016 Natural Social Natural 7.1 Revision on Surface Areas and Volumes of Prisms and Cylinders 2 3 2 7.2 Pyramids, Cones and Spheres 3 4 1 1 7.3 Frustums of Pyramids and Cones 2 2 1 7.4 Surface Areas and Volumes of Composite Solids 1 2 Grade 11 unit 2: Rational expressions and Rational function By the end of this unit, you will be able to:  Recognize a rational expression.  Define a rational expression and a rational function.  Know methods and procedures in simplifying rational expressions.  Understand efficient methods in solving rational equations and inequalities.  Develop efficient methods in solving rational equations and inequalities.  Know basic concept and specific facts about rational functions. Contents UEE Matric UEE UEE 2008-15 2008-10 2016 2016 Natural Social Natural 2.1 Rational Expressions 9 - 1 1 2.2 Rational Equations and 2 - Rational Inequalities 2.3 Rational Functions and 11 - their Graphs 2.4 Applications -  Grade 11 unit 3: Matrices By the end of this unit, you will be able to:  Know basic concepts about matrices.  Perform operation on matrices.  Differentiate types of a matrix.  Know specific ideas, methods and principles concerning matrices.  Formulate elementary row/column operations.  Define inverse of an invertible matrix.  Use elementary row operations to find inverse of square matrices of order 2 and 3.  Define system of linear equations.  Solve linear system of equations by using elementary row operations.  Apply matrix concepts to model, solve and analyze real-world situations. Contents UEE Matric UEE UEE 2008-15 2008-10 2016 2016 Natural Social Natural 3.1 The Concepts of a Matrix - 3.2 Operations on Matrices 6 - 1 3.3 Special Types of Matrices - 3.4 Elementary Row Operations on Matrices 1 - 3.5 Systems of Linear Equations with Two or Three Variables 1 - 3.6 Solutions of Systems of Linear Equations - 3.7 Inverse of a Square Matrix 3 - 3.8 Applications -  Grade 11 unit 4: Determinant and Their properties After completing this unit, you should be able to:  Know minor and cofactor of a matrix.  Evaluate determinant of a matrix.  Understand properties of a determinant.  Apply principles of determinants to compute inverse of a matrix  Use Cramer's rule to solve system of linear equations.  Apply determinant concepts to solve real-world situations. Contents UEE Matric UEE UEE 2008-15 2008-10 2016 2016 Natural Social Natural 4.1 Determinants of Matrices of Order 2 1 - 4.2 Minors and Cofactors of Elements of Matrices 2 - 4.3 Determinants of Matrices of Order 3 4 - 1 4.4 Properties of Determinants 6 - 1 4.5 Inverse of a Square Matrix of Order 2 and 3 3 - 4.6 Solutions of Systems of Linear Equations Using Cramer's Rule 6 - 1 4.7 Applications -  Grade 11 unit 6: Transformations of plane After completing this unit, you should be able to:  Know basic concepts about transforming of the plane.  Apply methods and procedures of transformation to transform plane figures. Contents UEE Matric UEE UEE 2008-15 2008-10 2016 2016 Natural Social Natural 6.1 Introduction - 6.2 Translation 7 - 6.3 Reflection 2 - 6.4 Rotation 3 - Which of the following is true 1 - 6.5 Applications -  Grade 11 unit 7: Statistics After completing this unit, you should be able to:  Know specific facts about types of data.  Understand basic concepts about grouped data.  Use statistical method to solve real life problems.  Analyze statistical data.  Compare statistical data.  Appreciate the value of statistics in real life. Contents UEE Matric UEE UEE 2008-15 2008-10 2016 2016 Natural Social Natural 7.1 Types of Data 1 2 7.2 Introduction to Grouped Data 1 1 7.3 Graphical Representation of Grouped Data 1 7.4 Measures of Central Tendency and Their Interpretation 18 10 1 3 7.5 Real-life Application of Statistics  Grade 12 unit 1: Sequence and series After completing this unit, you should be able to:  Understand sequence and series.  Compute terms of a sequence from a given rule.  Use given terms to develop a formula that represent the sequence.  Identify different types of sequences and series.  Compute the partial and infinite sum of some sequences.  Apply your understanding the knowledge of sequences and series to real-life problems. Contents UEE Matric UEE UEE 2008-15 2008-10 2016 2016 Natural Social Natural 1.1 Sequence 5 - 1 1.3 Arithmetic and Geometric Sequences 6 - 1 1.4 The Sigma Notation and Partial Sums 10 - 1 2 1.4 Infinite Series 6 - 1 1.5 Applications of Sequence and Series in Daily Life 5 -  Grade 12 unit 2: Introduction to Calculus After completing this unit, you should be able to:  Deduce rate of change of different quantities.  Calculate rate of change of different quantities.  Understand gradient of functions at a point.  Analyze the geometrical and mechanical meaning of derivative.  Find the derivative of simple functions using gradient method.  Find area of a region bounded by a function and x-axis on a given interval. Understand definite integral.  Value the real world contributions of having skills of derivatives and integrations.  Apply the knowledge of integral calculus to solve real life mathematical problems.  Apply the concept of derivatives to solve basic problems in business, economics, and road taxation, Contents UEE Matric UEE UEE 2008-15 2008-10 2016 2016 Natural Social Natural 2.1 Introduction to Derivatives 15 - 1 2.2 Applications of Derivative 20 - 2 2.3 Introduction to Integration 8 - 1 2  Grade 12 unit 3: Statistics After completing this unit, you should be able to:  Describe absolute and relative dispersion and their interpretation.  Conceptualize specific facts about measurement in statistical data.  Grasp basic concepts about sampling techniques.  Appreciate the value of statistics in real life. Contents UEE UEE 2016 2016 Social Natural 3.1 Measures of Absolute Dispersions 2 1 3.2 Relative Dispersions 1 1 3.3 Use of Frequency Curves 3.4 Sampling Techniques 1 1  Grade 12 unit 4: Introduction to linear programming After completing this unit, you should be able to:  Deduce how to find regions of inequality graphs.  Solve systems of linear inequality.  Construct linear programing problems.  Solve real life problems of linear programming problems.  Use spreadsheet to solve Linear Programming Problems. Contents UEE UEE 2016 2016 Social Natural 4.1 Graphical Solutions of System of Linear Inequalities 1 4.2 Maximum and Minimum Values 1 2 4.3 Applications  Grade 12 unit 5: Mathematical Applications in business After completing this unit, you should be able to:  Know common terms related to business.  Know basic concepts in business.  Understand time value of money.  Apply mathematical principles and theories to practical situations. Contents UEE UEE 2016 2016 Social Natural 5.1 Basic Mathematical Concepts in Business 5.2 Time Value of Money 1 5.3 Saving, Investing and Borrowing Money 1 5.4 Taxation 1