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- Mathematics Grade-9: Semester 2
Curriculum
- 5 Sections
- 22 Lessons
- 365 Days
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- UNIT FIVE: INTRODUCTION TO TRIGONOMETRYIntroduction to Trigonometry: Trigonometry is the study of the relationships between the angles and sides of triangles. It focuses on right-angled triangles but also extends to general triangles. Key concepts include trigonometric functions (sine, cosine, and tangent) that describe these relationships. Fundamental principles like the Pythagorean theorem and trigonometric ratio are used to solve problems involving angles, distances, and periodic phenomena. Trigonometry is widely applied in fields such as physics, engineering, and astronomy.10
- 2.1Lesson 1: Revision on Right-angled Triangles30 Minutes
- 2.2Activity for Revision on Right-angled Triangles15 Minutes5 Questions
- 2.3Summary of Revision on Right-angled Triangles15 Minutes
- 2.4Lesson 1 Gamified Activity
- 2.5Lesson 1: Test30 Minutes10 Questions
- 2.6Lesson 2: Trigonometric Ratios20 Minutes
- 2.7Activity for Trigonometric Ratios15 Minutes5 Questions
- 2.8Summary of Trigonometric Ratios
- 2.9Lesson 2: Test30 Minutes10 Questions
- 2.10Lesson 2 Gamified Activity
- UNIT SIX: REGULAR POLYGONSRegular polygons are geometric figures with all sides and angles equal. Each interior angle of a regular polygon can be calculated using the formula ( 𝑛 − 2 ) × 180∘ /𝑛, where 𝑛 is the number of sides. Each exterior angle is 360∘/𝑛. Regular polygons are symmetrical and their properties include equal side lengths, congruent interior angles, and a center of symmetry. Examples include equilateral triangles, squares, and regular hexagons.10
- 3.1Lesson 3: Interior and Exterior Angles of a Polygon20 Minutes
- 3.2Activity on Interior and Exterior Angles of a Polygon30 Minutes10 Questions
- 3.3Summary on Interior and Exterior Angles of a Polygon15 Minutes
- 3.4Lesson 3 Gamified Activity
- 3.5Lesson 3: Test36 Minutes12 Questions
- 3.6Lesson 4: Properties of Regular Polygons20 Minutes
- 3.7Activity for Properties of Regular Polygons24 Minutes8 Questions
- 3.8Summary for Properties of Regular Polygons15 Minutes
- 3.9Lesson 4 Gamified Activity
- 3.10Lesson 4: Test30 Minutes10 Questions
- UNIT SEVEN: CONGRUENCY AND SIMILARITYLesson Description: Congruency and Similarity In this lesson, students will explore the concepts of congruency and similarity in geometric figures, particularly focusing on triangles. Congruent figures are identical in shape and size, meaning all corresponding sides and angles are equal. Students will learn about the different criteria for triangle congruence, including the Side-Side-Side (SSS), Side-Angle-Side (SAS), and Angle-Side-Angle (ASA) theorems. Similar figures, on the other hand, have the same shape but may differ in size. In similar figures, corresponding angles are equal, and corresponding sides are proportional. Students will examine the criteria for triangle similarity, such as the Angle-Angle (AA) Similarity Theorem, Side-Angle-Side (SAS) Similarity Theorem, and Side-Side-Side (SSS) Similarity Theorem. Through interactive examples and problem-solving exercises, students will learn how to determine whether two figures are congruent or similar and apply these concepts to real-world scenarios. By the end of the lesson, students will have a solid understanding of congruency and similarity, their differences, and how to use these properties to solve geometric problems.16
- 4.1Lesson 5: Revision on Congruency of Triangles30 Minutes
- 4.2Activity for Revision on Congruency of Triangles30 Minutes10 Questions
- 4.3Summary for Revision on Congruency of Triangles15 Minutes
- 4.4Lesson 5 Gamified Activity
- 4.5Lesson 5: Test30 Minutes10 Questions
- 4.6Lesson 6: Similar plane figures20 Minutes
- 4.7Activity on Similar plane figures30 Minutes10 Questions
- 4.8Summary on Similar plane figures15 Minutes
- 4.9Lesson 6 Gamified Activity
- 4.10Lesson 6: Test30 Minutes10 Questions
- 4.11Lesson 7: Ratio of Perimeters and areas of Similar Plane Figures30 Minutes
- 4.12Activity on Ratio of Perimeters and Areas of Similar Plane Figures21 Minutes7 Questions
- 4.13Summary for Ratio of Perimeters and areas of Similar Plane Figures10 Minutes
- 4.14Lesson 7 Gamified Activity
- 4.15Lesson 7: Test 118 Minutes6 Questions
- 4.16Lesson 7: Test 230 Minutes10 Questions
- UNIT EIGHT: VECTORS IN TWO DIMENSIONSVectors in Two Dimensions: Vectors in two dimensions are mathematical entities that have both magnitude and direction. Represented as ordered pairs (x, y) or as arrows on a coordinate plane, they describe quantities with direction and size. Key operations include vector addition, subtraction, and scalar multiplication. Vectors are essential in physics for describing forces and velocities, in graphics for positioning and transformations, and in navigation for route planning. Their geometric properties help in solving problems involving direction and magnitude in a two-dimensional space.10
- 5.1Lesson 8: Vector and Scalar Quantities30 Minutes
- 5.2Activity on Vector and Scalar Quantities18 Minutes6 Questions
- 5.3Summary: Vector and Scalar Quantities10 Minutes
- 5.4Lesson 8 Gamified Activity
- 5.5lesson 8: Test30 Minutes10 Questions
- 5.6Lesson 9: Vectors Operations and their Applications30 Minutes
- 5.7Activity on Vectors Operations and their Applications18 Minutes6 Questions
- 5.8Summary: Vectors Operations and their Applications10 Minutes
- 5.9Lesson 9 Gamified Activity
- 5.10lesson 9: Test30 Minutes10 Questions
- UNIT NINE: STATISTICS AND PROBABILITYStatistics and Probability are fundamental branches of mathematics that deal with the analysis, interpretation, and presentation of data, as well as the study of randomness and uncertainty. Together, they provide powerful tools for making informed decisions, predicting outcomes, and understanding patterns in both everyday life and scientific research.10
- 6.1Lesson 10: Statistical Data30 Minutes
- 6.2Activity for Statistical Data30 Minutes10 Questions
- 6.3Summary for Statistical Data10 Minutes
- 6.4Lesson 10 Gamified Activity
- 6.5Lesson 10: Test30 Minutes10 Questions
- 6.6Lesson 11: Probability30 Minutes
- 6.7Activity for Probability30 Minutes10 Questions
- 6.8Summary for Probability20 Minutes
- 6.9Lesson 11 Gamified Activity
- 6.10Lesson 11: Test30 Minutes10 Questions