SHS 1 Core Mathematics
Course Description
This syllabus is based on the notion that an appropriate mathematics curriculum results from a series of critical decisions about three inseparable linked components: content, instruction and assessment. Consequently, the syllabus is designed to put a great deal of emphases on the development and use of basic mathematical knowledge and skills. The major areas of content covered in all the Senior High School classes are as follows:

 Numbers and Numeration.
 Plane Geometry
 Mensuration
 Algebra
 Statistics and Probability
 Trigonometry
 Vectors and Transformation in a Plane
* Problem solving and application (mathematical processes).
“Numbers and Numeration” covers reading and writing numerals in base two through twelve and the four basic operations on them as well as ratio, proportion, and percentages. Fractions, integers and rational and irrational numbers and four operations on them are treated extensively. Plane geometry covers angles of a polygon, Pythagoras’ theorem and its application and circle theorem including tangents. Mensuration covers perimeters and areas of plane shapes, surface areas and volumes of solid shapes. In addition, the earth as a sphere is also treated under mensuration. “Algebra” – Algebra is a symbolic language used to express mathematical relationships. Students need to understand how quantities are related to one another, and how algebra can be used to concisely express and analyze those relationships. “Statistics and Probability” – are important interrelated areas of mathematics. Each provides students with powerful mathematical perspectives on everyday phenomena and with important examples of how mathematics is used in the modern world. Statistics and probability should involve students in collecting, organizing, representing and interpreting data gathered from various sources, as well as understanding the fundamental concepts of probability so that they can apply them in everyday life. Trigonometry covers the trigonometry ratios and their applications to angles of elevation and depression. Drawing and interpretation of graphs of trigonometric functions are also covered under trigonometry. Topics treated under vectors include representation, operations on vectors, equal and parallel vectors as well as the magnitude of vectors and bearing. Transformation deals with rigid motion and enlargement including scale drawing and its application.“Problem solving and application” has not been made a topic by itself in the syllabus since nearly all topics include solving word problems as activities. It is hoped that teachers and textbook developers will incorporate appropriate problems that will require mathematical thinking rather than mere recall and use of standard algorithms. Other aspects of the syllabus should provide an opportunity for the students to work cooperatively in small groups to carry out activities and projects which may require outofschool time. The level of difficulty of the content of the syllabus has been designed to be within the knowledge and ability range of Senior High School students.
Rationale for teaching Mathematics
The new syllabus is based on the premises that all students can learn mathematics and that all need to learn mathematics. The syllabus is, therefore, designed to meet expected standards of Mathematics in many parts of the world. Mathematics at the Senior High school (SHS) in Ghana builds on the knowledge and competencies developed at the Junior High School level. The student is expected at the SHS level to develop the required mathematical competence to be able to use his/her knowledge in solving reallife problems and secondly, be well equipped to enter into further study and associated vocations in mathematics, science, commerce, industry and a variety of other professions.
Learning Outcomes
By the end of the instructional period students will be able to:
 Develop computational skills by using suitable methods to perform calculations;
 Recall, apply and interpret mathematical knowledge in the context of everyday situations;
 Develop the ability to translate word problems (story problems) into mathematical language and solve them with related mathematical knowledge;
 Organize, interpret and present information accurately in written, graphical and diagrammatic forms;
 Use mathematical and other instruments to measure and construct figures to an acceptable degree of accuracy;
 Develop precise, logical and abstract thinking;
 Analyze a problem, select a suitable strategy and apply an appropriate technique to obtain it’s solution;
 Estimate, approximate and work to degrees of accuracy appropriate to the context;
 Organize and use spatial relationships in two or three dimensions, particularly in solving problems;
 Respond orally to questions about mathematics, discuss mathematics ideas and carry out mental computations;
 Carry out practical and investigational works and undertake extended pieces of work;
 Use the calculator to enhance understanding of numerical computation and solve real life problems
Certification
West African Senior School Certificate Examination (WASSCE)
Course Features
 Lectures 26
 Quizzes 3
 Skill level SHS 1
 Language English
 Students 181
 Assessments Yes

Sets and Operations

Numeration system

Statistics

Algebraic Expression

Surd

Linear equation & inequalities

Vectors

Ratio & Proportions

Ratio, Proportions & Rates 2

Rates

PLANE GEOMETRY

Percentages