# Mathematics Guides for JSS 2 Measurement and Geometry

**MATHEMATICS **

**THEME – MENSURATION AND GEOMETRY**

**TOPIC 2 – ANGLES **

**INSTRUCTIONAL MATERIALS**

Cut out shapes of triangles, Quadrilateral, and other polygon types. Rulers, tapes, Protractor.

**LEARNING OBJECTIVES **

By the end of the lesson, students should be able to:

1. find the sum of angles of triangles.

2. find sum of angles in a quadrilateral.

3. find the sum of the interior angles of a polygon.

4. distinguish between angles of elevation and angles of depression.

5. use angles of elevation and depression in calculating distances and heights using scale drawing.

6. identify the relationship between angles of elevation and depression.

7. solve problems on quantitative aptitude related to angles.

**CONTENTS OF THE LESSON**

**FOCUS LESSONS **

1. Sum of angles of a polygon.

2. Angles of elevation and depression.

**LESSON PRESENTATION**

Teacher’s Activities,1. Guides students to find the sum of angles of triangles.

2. Guides students to find sum of angles in a quadrilateral.

3. Leads students to discover that the sum of interior angles of an n-sided convex polygon is 2n – 4 right angles.

4. Leads students to identify what angles of elevation and depression means.

5. Guides students to use angles of elevation and depression in calculations using scale drawing.

6. Guides students to identify the relationship between angles of elevation and depression.

7. Leads students to solve problems on quantitative aptitude related to angles.

Student’s Activities,1. Find the sum of angles of triangles.

2. Find sum of angles in a quadrilateral.

3. Use the sum of interior angles to calculate any given related problem.

4. Identify what angles of elevation and depression mean.

5. Use angles of elevation and depression in calculations using scale drawing.

6. Identify the relationship between angles of elevation and depression.

7. Leads students to solve problems on quantitative aptitude related to angles.

**LESSON EVALUATION**

Students to,

1. find the sum of angles of triangles.

2. find sum of angles in a quadrilateral.

3. find the sum of interior angles of a given convex polygon.

4. use angles of elevation and depression to calculate distances and heights.

5. solve problems on quantitative aptitude related to angles.

**MATHEMATICS **

**THEME – MEASUREMENT AND GEOMETRY**

**TOPIC 2 – BEARING **

**INSTRUCTIONAL MATERIALS**

1. Protractor

2. Ruler

3. Compass 360° – (wooden, metal, plastic or cardboard), clinometer.

**LEARNING OBJECTIVES **

By the end of the lesson, students should be able to:

1. identify the cardinal points.

2. locate the position of objects.

3. find distances between objects using scale drawing.

**CONTENTS OF THE LESSON**

**FOCUS LESSONS **

Bearing

**LESSON PRESENTATION**

Teacher’s Activities,1. Guide students to identify the major and minor cardinal points.

2. Guide students to locate position of objects using 3 digit bearing and compass bearing.

3. Guide students to find distances between objects using scale drawing.

Student’s Activities,1. Identify the major and minor cardinal points.

2. Locate the position of objects using 3 digit bearing and compass bearing.

3. Find distances between objects using scale drawings.

**LESSON EVALUATION**

Students to,

1. mention the major cardinal points and the minor cardinal points.

2. what is the bearing of A from B, from A

3. using scale drawing find the distance of B from A.

**MATHEMATICS **

**THEME – MEASUREMENT AND GEOMETRY **

**TOPIC 2 – CONSTRUCTION **

**INSTRUCTIONAL MATERIALS**

1. Plain paper

2. Protractor

3. Ruler

4. Pair of compasses, mathematical set

**LEARNING OBJECTIVES **

By the end of the lesson, students should be able to:

1. Construct triangles given,

- 2 sides and a secluded angle.

- 2 angles and a side between them.

- All the 3 sides.
2. Bisect any given angles.

**CONTENTS OF THE LESSON**

**FOCUS LESSONS **

1. Constructing triangles

2. Bisecting angles

**LESSON PRESENTATION**

TEACHER’S ACTIVITIES1. Guides students to construct triangles using a protractor and ruler.

2. Lead student to bisect any given angle using a pair of compasses, ensuring that students follow the basic steps.

STUDENT’S ACTIVITIES1. Construct triangles using protractor and ruler.

2. Bisect any given angle following the given basic steps.

**LESSON EVALUATION**

Students to,

1. construct triangles giving:

- 2 sides and a secluded angle.

- 2 angles and a side between them.

- All the 3 sides.
2. bisect any given angles.

**MATHEMATICS **

**THEME – MEASUREMENT AND GEOMETRY **

**TOPIC 2 – PLANE FIGURES/SHAPES **

**INSTRUCTIONAL MATERIALS**

Models of parallelogram, rhombus and kite. Tape (steel and rolling), Ruler, Pencil, Plain Sheets.

**LEARNING OBJECTIVES **

By the end of the lesson, students should be able to:

1. state the properties of parallelogram, rhombus and kite.

2. identify these shapes in their environment.

3. draw plane objects to scale.

4. convert actual length to scales and vice versa.

5. apply scale drawing to solve measurement problem.

6. solve problems on quantitative aptitude related to plane shapes/figure and scale drawing.

**CONTENTS OF THE LESSON**

**FOCUS LESSONS **

1. Properties of parallelogram, rhombus and kite

2. Scale drawing

**LESSON PRESENTATION**

TEACHER’S ACTIVITIES1. Guides students to identify the properties of parallelogram, rhombus and kite.

2. Lead students to identify these shapes in the environment.

3. Guides students to measure actual lengths of teachers table and their classroom.

4. Leads students to convert actual length to given scale and vice versa.

5. Leads students to apply scale drawings in solving measurement problems.

6. Guides students to solve quantitative aptitude problems related to plane shape/figure and scale drawings.

STUDENT’S ACTIVITIES1. Identify the properties of parallelogram, rhombus and kite.

2. Identify these shapes in the environment.

3. Measure the actual length of the given objects and draw them to scale.

4. Convert actual length to scales and vice versa.

5. Apply scale drawing to solving measurement problems.

6. Solve quantitative aptitude problems on plane shapes and scale drawings.

**LESSON EVALUATION**

Students to,

1. state the properties of the following:

- rhombus

- parallelogram

- kite

2. draw actual length to scale.

3. solve problems on quantitative aptitude related to plane shapes/figures and scale drawing.