Mathematics

 

Mathematics Objectives

 

 

Grade (1)

The students will begin to learn how to:

  

*        Add and subtract the numbers, using pictures to write the addition and subtraction sentences.

*        Solve word problems.

*        Adding and subtracting tens and ones.

*        Order numbers from least to greatest and vice versa .

*        Measure by using ruler.

*        Recognize time –an hour or half an hour- by using the clock.

*        Read and make picture graph and bar graph.

*        Learn about  fractions and 2&3D shapes.

 

 

 

Grade (2)

The students will learn how to:

 

*        Differentiate between even and odd numbers.

*        Decide the place values of digits.

*        Write different forms and ways of numbers.

*        Regroup of numbers- in addition or subtraction.

*        Regroup tens and ones,  hundreds and tens.

*        Solve word problems about money and time.

*        Measure with centimeter ruler.

*        Read and make picture graph and bar graph, 2&3D shapes.

*        Solve problems concerning timetables of 2,3,4,5.

 

 

Grade (3)

The students will learn how to :

 

*        Round sums of addition or subtraction.

*        Use place values to add and subtract.

*        Apply multiplication and division rules to solve problems concerning timetables of 2 – 10 .

*        Identify, compare , and order  fractions.

*        Measure liquids, volume and mass.

*        Find perimeter and area.

*        Describe and classify plain shapes.

 


 

Grade (4)

Students are given much focus on learning:

 

 

*        The basic operations in math ( addition , subtraction , multiplication and division) for small and large whole numbers.

*        An introduction of adding  and subtracting fractions.

*        Ways of  applying these skills in their real lives.

 

 

Grade (5)

Students are given much focus on learning:

 

* The basic operations in math ( addition , subtraction , multiplication and division) for small and large whole, fraction, decimal and mixed numbers. –-ways of applying these skills on their real lives.

 

 

 Grade (6)

 Students learn:

 

*        New sets of numbers which are integers and rational numbers.

*        Use these sets to deal with other topics such as finding ratios and percents by using operations like (addition, subtraction, multiplication, division and exponent).

*        Ways of applying these skills on their real lives.

 


 

Grade (7)

 

Algebra1

Students will study:

 

*        Evaluating and simplifying expression, properties of the real number system,  the order of operations, and patterns.

*        Using inverse operations to solve equations containing variables, write equations to represent situations, and simplify equations before solving.

*        Solving inequalities by using inverse operations.

*        Solving inequalities with variables on both sides.

*        Solving compound inequalities, relationships between variables.

*        Determining whether a relation is a function, relationships in function notation, percent ,percent change, proportion ratio unit rate .

*        Trending  lines on scatter plots .

*        Organizing data in tables, graphs, and plots.

 

 

Geometry

Students will study:

 

*        Basic facts about points, lines, planes, segments, and angles, using formulas to find distance and the coordinates of a midpoint, inductive and deductive.

*        Reasoning, writing two-column, parallel and perpendicular lines,   angles formed by parallel, lines and a transversal, lines in a coordinate plane, classifying triangles, proving triangles congruent, using corresponding parts of congruent triangles in proofs.

*        Proving theorems about isosceles and equilateral triangles.

 

 

Grade (8)

 

Algebra1

Students in 8th grade will study:

 

*        Writing and graphing linear functions.

*        Identifying and interpreting the components of linear graphs, including the x-intercept, y-intercept, and slope.

*        Graphing and analyzing families of functions, properties of exponents, powers of 10 and scientific notation.

*        Adding, subtracting, and  multiplying polynomials by using properties of exponents and combining like terms ,greatest common factors, how to factor polynomials .

*        Factoring special products.

*        Choosing a factoring method.

 

Geometry

Students in 8th grade will study:

 

*        Properties of perpendicular bisectors and angle bisectors, special points, segments, and lines related to triangles ,inequalities in one triangle and in two triangles.

*        Pythagorean inequalities and special right triangles, properties of polygons. properties of special quadrilaterals, showing that a polygon is a special quadrilateral, verifying that polygons are similar using corresponding  angles and sides.

*        Using properties of similar  polygons, similarity of right triangles.

*        Using ratios and proportions to find missing  side lengths in right triangles.

 

 

Grade (9)

 

Algebra 2

Students in 9th grade will study:

 

*        Graphing and transforming quadratic functions .

*        Solving quadratic equations and inequalities .

*        Fitting data to quadratic models .

*        Using and performing operations with imaginary and other complex numbers .

*        Dividing polynomials , exponential function , growth and decay .

*        Solving problems with variation function .

*        Simplifying rational and radical expressions , graphing rational and radical function , solving rational and radical equations and inequalities .

*        Solving problems involving counting and arranging.

 

Geometry

Students in 9th grade will study:

 

*        Using ratios and proportions to find missing side lengths in right triangles .

*        Using trigonometric  ratios to solve real-world  problems, areas and perimeters of figures whose dimensions are found by using the Pythagorean Theorem .

*        Areas and perimeters of figures in customary and metric units, proofs of formulas for area and perimeter, proofs of formulas for area and perimeter solve problems involving circles.

*        The surface areas and volumes of three dimential figures ,the effect of changing dimension figures proportionally.

*        Solving problems involving circles, finding lengths, angle measures, and a

reas associated with circles, applying circle theorems to solve a wide range of problems.

 


 

Grade (10)

 

Algebra 2

Students in 10th grade will study:

 

*       Using properties of equality  to write and solve linear  equations.

*       Writing and graphing linear  functions .

*       Solving problems involving transformations of the linear  parent function ,transformations of the absolute-value parent  function .

*       Graphing systems of linear  equations, graphing systems of linear inequalities.

*       Solving systems of linear equations ,organizing data into matrices ,operating with matrices, solving systems of equations several ways by using matrices.

*       Using and performing  operations with imaginary and other complex numbers, transforming piecewise  functions .

*       Performing operations  on  functions and function inverses  the graphs of parabolas and other conic sections that are not functions, methods for solving systems of nonlinear functions .

*       Finding theoretical , experimental , and binomial probabilities .

*       Analyzing data to include expected value and standard devia

tion , patterns of numbers , called sequences , and their sums called series , patterns to determine whether the sequences arithmetic or geometric and how to write .

*       Writing and evaluating sequences and series, using trigonometric functions and their inverses, and solving the triangles and , using angle of rotation and finding arc lengths of circles. 

    

 

 

Grade (11)

 

Pre Calculus

Students in 11th grade will study:

 

*       Analyzing and sketching graphs of quadratic functions .

*       Analyzing and sketch graphs of polynomial functions of higher degree.

*       Dividing polynomials . 

*       Performing operations with complex numbers and find complex solutions of quadratic equations .

*       Finding zeros of polynomial functions,exponential functions and logarithmic functions. 

 

 

 

Grade (12)

 

Calculus

Students in 12th grade will study:

  

Limits and Continuity

*       Use graphical and numerical evidence to estimate limits, and to identify situations where limits fail to exist. 

*       Apply rules to calculate limits. 

*       Use the limit concept to determine where a function is continuous.

*      Use the Intermediate Value Theorem to identify an interval where a continuous function has a root.

 

Differentiation

*        Use the limit definition to calculate a derivative, or to determine when a derivative fails to exist.

*       Calculate derivatives (of first and higher orders) with pencil and paper, without table or calculator or computer algebra software, using: 

                   -     Linearity of the derivative.

              -     Rules for products and quotients and the Chain Rule.

                   -     Rules for constants, powers, and trigonometric and exponential functions.

                   -     Rules for inverse functions, including logarithms and inverse trignometric functions.

                   -     Use the derivative to find tangent lines to curves.

                   -     Calculate derivatives of functions defined implicitly. 

                   -     Interpret the derivative as a rate of change.

                   -     Solve problems involving rates of change of variables subject to a functional relationship.

                   -     Calculate the linearization of a differentiable function at a point.

                   -     Use differentials (linearization) to approximate the change in value of a function due to a small change in its argument.     

 

Applications of Derivatives

*       Find critical points, and use them to locate maxima and minima.

*       Use critical points and signs of first and second derivatives to sketch graphs of functions:

               -     Use the first derivative to find intervals where a function is increasing or decreasing.

               -      Use the second derivative to determine concavity and find inflection points.

               -      Apply the first and second derivative tests to classify critical points.

                    -     Use Differential Calculus to solve optimization problems.

 

Integration

 

  • *       Find antiderivatives of functions.
  • *       Use antiderivatives to solve.
  • *       First-order differential equations of the form dy/dx = f(x).
  • *       Separable first-order differential equations.
  • *       Use sigma notation to represent, manipulate and evaluate finite sums.
  • *       Use the definition to calculate a definite integral as a limit of approximating sums.
  • *       Apply the Fundamental Theorem of Calculus to evaluate definite integrals and to differentiate functions defined as integrals.
  • *       Calculate elementary integrals with pencil and paper, without calculator or computer algebra software, using : Linearity of the integral; Rules for powers (including exponent -1) and exponentials, the six trigonometric functions and the inverse sine, tangent and secant;Simple substitution.

 

 

Statistics

:Students in 12th grade will study

 

*      Learn how to pose conceptually focused problems in high school probability and statistics. 

*      Connect probability and statistics concepts vertically through middle school and high school.       

.Examine ways to help students justify and explain the use of combinations, permutations, and the counting principle      *

*      Design thought-provoking high school tasks related to probability and statistics.

.Recognize how theoretical ideas from probability and statistics are connected to Indiana and NCTM Standard       *

.Apply the addition and multiplication rules of probability to problems in context       *

.Explore methods of data collection and analysis       *

.Learn how to use various technologies effectively to analyze and summarize one-variable data       *

.Develop conceptual and procedural understanding of the purpose and use of simulations       *

.Develop conceptual and procedural understanding of the purpose and use of experimental probability       *

.Develop conceptual and procedural understanding of the purpose and use of binomial probability       *

.Investigate the application of probability in games and television shows       *

*       Graph a normal curve and summarize its important properties.

.Apply the empirical rule to solve real-world problems       *

.Given µ and σ convert raw data to z scores       *

.Given µ and σ, convert z scores to raw data       *

.Graph the standard normal distribution, and find areas under the standard normal curve       *

 

  

 

 

 

Student

  • WeeklyPlan

  • Al-Oruba VLE

  • Classes Schedule

  • Quizzes Schedule

  • E-Learning
Parents

  • Admission 2016/2017

  • Announcements Archive

  • Pay Installments Online

  • Parents'/Students' Handbook

  • Assessment Report
    (for Students)
Teachers

  • Newspaper

  • Announcements Archive

  • Staff Handbook

  • Teachers' Schedule

  • Edmodo Community