Saudi Arabia Grade 9 School Syllabus - Mathematics

This syllabus combines information from Edugain's topic list and the National Assessment Governing Body (NAFS) learning outcomes to provide a comprehensive overview of the Saudi Arabia Grade 9 Math curriculum. It should be noted that this is a synthesized overview and not the official published syllabus.

Number System

• Rational and Irrational Numbers: Understanding the concepts of rational and irrational numbers, equivalent rational numbers, and representing rational numbers. Classifying real numbers into whole, integer, rational, and irrational numbers, and comparing them. Representing them on a number line.
• Real Numbers: Describing real numbers, classifying, comparing, and arranging them. Understanding Real Numbers. Comparing and arranging integer, rational, and real numbers.
• Powers of Rational Numbers and Scientific Notation: Finding and simplifying powers of rational numbers using laws of exponents. Writing and evaluating numerical expressions with rational numbers, including powers and parentheses. Utilizing scientific notation to represent very large or very small numbers.
• Operations on Numbers and Square Roots: Performing the four operations on integers, rational numbers, and square roots. Simplifying numerical expressions. Solving mathematical problems with real-life applications.
• Ratio, Unit Rate, Percentage, and Proportion: Finding the ratio, unit rate, percentage, and distinguishing proportional relationships. Solving proportions and using them to solve mathematical problems. Calculating the ratio, unit rate, and percentage of a number, including percentages greater than 100%. Identifying proportional and disproportionate relationships. Utilizing the concept of percentage to determine a missing value. Solving real-life mathematical problems related to these concepts, such as zakat, discounts and increases, profit and loss, added value, and scale.
• Estimating Percentages and Square Roots: Estimating percentages and square roots using various techniques. Determining the percentage of a number mentally.

Polynomials

• Identifying Polynomial Expressions
• Identifying the Degree of a Polynomial
• Identifying Coefficients in a Polynomial
• Evaluating Polynomials
• Zeros of a Polynomial
• Square of Binomials
• Cube of Binomials and Cubic Polynomials
• Remainder Theorem
• Factor Theorem
• Factorization of Polynomials
• Inverse of a Polynomial
• Polynomials in Equations
• Evaluating Polynomials Using Algebraic Identities
• Factoring algebraic term, algebraic expression, the quadratic algebraic expression.
• Writing and solving linear and quadratic equations, both algebraically and graphically, and estimating solutions from graph representations.

Geometry

• Introduction to Euclid's Geometry
• Angles and Lines: Identifying interior and exterior angles, analyzing angle relationships, calculating the sum of angles, determining unknown angle measures, and recognizing polygon tiling. Evaluating angle relationships in parallel lines.
• Triangles: Identifying, drawing, and using symmetrical shapes. Distinguishing the properties of triangles, and the relationship between the sides of right triangles (Pythagorean theorem). Examining cases of congruence and similarity between two triangles.
• Quadrilaterals and Parallelograms: Identifying and drawing symmetrical shapes, quadrilaterals. Classifying quadrilaterals based on their properties.
• Circles: Quadrilaterals and Parallelograms.
• Three-Dimensional Shapes: Recognizing and classifying three-dimensional shapes. Creating an accurate representation of a 3-dimensional shape given its upper, frontal, and lateral views.
• Congruence and Similarity: Describing the congruence and similarity of two polygons, and using it to find unknown measurements.
• Trigonometry: Identifying and calculating the basic trigonometric ratios (sine, cosine, tangent) for an acute angle, as well as their inverses. Applying the basic trigonometric ratios to solve right-angled triangles.

Coordinate Geometry

• Understanding Terms Related to Coordinate Geometry
• Identifying Coordinates of a Point
• Identifying Coordinates on Axes and Origin
• Identifying the Quadrant of a Point
• Identifying the Mirror Image of a Point
• Identifying Distance from Coordinate Axis
• Drawing Graphs of Linear Equations
• Higher Order Thinking Skills Related to the Cartesian Plane
• Identifying points in the coordinate plane, assigning coordinates, and utilizing these values to determine the slope, expressing the equation, displaying graphically, calculating the distance between two points, and finding the midpoint's coordinates.
• Determining the type of geometric transformation, describing it, and drawing the picture resulting from these transformations in the coordinate plane.

Linear Equations in Two Variables

• Verifying Solutions
• Finding Slope and Intercepts
• Finding Unknown Variables
• Drawing Graphs and Finding Unknown Variables
• Drawing Graphs of Special Linear Equations
• Writing and solving a system of two linear equations with two variables, both algebraically and graphically.

Mensuration

• Measurement of Areas: Recognizing the perimeter and area formulas for two-dimensional shapes. Using them to find the perimeter and area. Finding area of complex shapes. Solving for unknown measurements. Identifying perimeter and area formulas for 2D shapes, understanding their relationship, analyzing impact of dimensional changes, and applying them to determine perimeter and area. Finding area of complex shapes.
• Volume and Surface Area: Recognizing the volume and surface area formulas for three-dimensional shapes. Using them to find volume and surface area. Recognizing the volume and surface area formulas for three-dimensional shapes, and using them to find volume and surface area.

Statistics and Probability

• Statistics: Collecting and interpreting data. Representing data using graphs, symbols, and points. Analyzing data using measures of central tendency and measures of dispersion. Describing surveys for data collection, organizing and representing the data, selecting the most appropriate representation, interpreting the data, and utilizing it for prediction and decision-making. Analyzing data using measures of central tendency and measures of dispersion, interpreting and comparing them.
• Probability: Writing the sample space for a random experiment, finding the number of possible outcomes for an accident, distinguishing the types of accidents, and calculating the probabilities of their occurrence.

This compiled syllabus aims to be comprehensive, but it is recommended to consult official resources from the Ministry of Education in Saudi Arabia for the most accurate and up-to-date information. and may also provide additional resources.