# Mathematics Guides for JSS 1 Measurements and Geometry (Shapes Angles) – Angles, Shape Construction, Plane Shapes and Three Dimensional Shapes

**MATHEMATICS **

**THEME – MEASUREMENT AND GEOMETRY **

**TOPIC 1 – ANGLES **

**INSTRUCTIONAL MATERIALS**

1. Protractor, plane sheet, cardboard containing angles, Pencil, Metre rule Angles,

2. Charts of angles at a point and angles on a straight line.

**LEARNING OBJECTIVES **

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

1. measure angles.

2. identify vertically opposite, adjacent, alternate and corresponding angles.

3. state properties of angles.

4. identify angles at a point and angles on a straight line and state their properties.

**CONTENTS OF THE LESSON**

**FOCUS LESSONS **

1. Measurement of Angles

2. Identification and Properties of:

- vertically opposite.

- adjacent.

- alternate, and

- corresponding angles.

3. Identification and properties of angles at a point and angles on a straight line.

**LESSON PRESENTATION**

Teacher’s Activities,Teacher leads,

1. measure angles.

2. identify and state the properties of the different types of angles.

3. relate the angles to real life situations.

4. identify angles at a point and angles on straight line and state their properties.

Student’s ActivitiesThe students,

1. measure some given angles.

2. identify and state the properties of the different types of angles from the appropriate diagrams.

3. relate angles to life situation.

4. identify angles at a point and angles on a straight line and

**LESSON EVALUATION**

Students to,

1. measure given angles.

2. identify vertically opposite, adjacent alternate and corresponding angles from given diagrams.

3. state the properties of given angles.

4. relate angles to three life situations.

5. identify angles at a point and angles on a straight line in given diagrams.

**MATHEMATICS **

**THEME – MEASUREMENT AND GEOMETRY **

**TOPIC 2 – SHAPE CONSTRUCTION **

**INSTRUCTIONAL MATERIALS**

Plane sheets of paper and mathematical set.

**LEARNING OBJECTIVES **

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

1. construct parallel and perpendicular lines.

2. bisect a given line segment.

3. construct angles 90 and 60 degrees

**CONTENTS OF THE LESSON**

**FOCUS LESSONS **

1. Construction of parallel and perpendicular lines.

2. Bisection of a given line segment.

3. Construction of angles 90 and 60 degrees.

**LESSON PRESENTATION**

Teacher’s ActivitiesTeacher leads/guides to,

1. construct parallel and perpendicular lines.

2. bisect a given line segment.

3. construct angles 90 and 60 degrees.

Student’s ActivitiesThe students,

1. Construct parallel and perpendicular lines.

2. Bisect a given line segment.

3. Construct angles 90 and 60 degrees.

**LESSON EVALUATION**

Students to,

1. Construct parallel and perpendicular lines.

2. Bisect a given line segment.

3. Construct angles 90 and 60 degrees.

**MATHEMATICS **

**THEME – MEASUREMENT AND GEOMETRY **

**TOPIC 3 – PLANE SHAPES**

**INSTRUCTIONAL MATERIALS**

Shapes of regular polygon such as,

1. Square

2. Triangle

3. Rectangle.

4. Parallelogram

5. Trapezium

6. Circle

7. Graph papers

**LEARNING OBJECTIVES **

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

1. state the similarities and differences between the following: square, rectangle, triangle, trapezium, parallelogram and circle.

2. find the perimeter of a regular polygon: square, rectangle, triangle, trapezium, parallelogram and circle.

3. find the area of plane shapes such as squares, rectangles, parallelograms.

4. find the area of real life plane objects.

**CONTENTS OF THE LESSON**

**FOCUS LESSONS **

1. Similarities and differences between the following: Square, rectangle, triangle, trapezium, parallelogram and circle.

2. Perimeter of regular polygon, square, rectangle, triangle, trapezium, parallelogram and circle.

3. Area of regular plane shapes such as: Squares, rectangles, parallelograms, etc.

**LESSON PRESENTATION**

Teacher’s Activities,Leads/guides students to,

1. identify the similarities and differences between the following – square, rectangle, triangle, trapezium, parallelogram and circle.

2. determine the perimeter of each shape by

- practical method, and

- formula.

3. find the area of the regular plane shapes,

- using graph papers

- by formula and compare their answers.
4. apply the area to real life situation.

Student’s Activities,1. Identify the similarities and differences between the following: square, rectangle, triangle, trapezium, parallelogram and circle.

2. Determine the perimeter of each shape by (a) practical method (b) formula.

3. Find the area of the regular plane shapes (a) using graph papers (b) by formula and compare their answers.

4. Relate finding area to real life situation.

**LESSON EVALUATION**

Students to,

1. find the perimeter of given plane shape .

2. find the area of given regular shapes.

3. find the area of irregular shapes.

4. relate finding area to three real life situations.

**MATHEMATICS **

**THEME – MEASUREMENT AND GEOMETRY **

**TOPIC 4 – THREE DIMENSIONAL FIGURES**

**INSTRUCTIONAL MATERIALS**

1. Cubes, Cuboids, Rulers, Tapes, Empty carton, Bricks, etc.

2. Pyramid cone. Cylinder and sphere (standard or improvised) Cubes, Cuboid.

**LEARNING OBJECTIVES **

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

1. identify the properties of cubes and cuboids.

2. identify the properties of pyramids and cones.

3. identify the properties of cylinders and shapes.

4. find volume of a cube and a cuboid.

**CONTENTS OF THE LESSON**

**FOCUS LESSONS **

1. Basic properties of cubes and cuboids.

2. Basic properties of pyramids and cones.

3. Basic properties of cylinders and spheres.

4. Volume of cubes and cuboids.

**LESSON PRESENTATION**

Teacher’s Activities,1. Leads students to discover the properties of cubes and cuboids:

Cubes,

- equal faces

- 6 faces

- 12 edges

- 8 vertices

Cuboids,

- equal opposite faces

- 6 faces

- 12 edges

- 8 vertices
2. Guides students to determine the edges, faces and vertices of pyramids and cones.

3. Guides students to discover the properties of cylinders and spheres.

4. Leads students to derive the formula for finding the volume of a cube and a cuboid.

5. Guides students to use the formula to calculate the volume of a cube and a cuboid.

Student’s Activities,1. Identify the number of faces, edges and vertices of cubes and cuboids and that cubes have equal faces while opposite faces of a cuboids are equal.

2. Determine the number of edges, faces and vertices of pyramids and cones.

3. Identify the properties of cylinders and spheres.

4. Derive the formula for finding the volume of a cube and a cuboid.

5. Use the formula to calculate the volume of a cube and a cuboid.

**LESSON EVALUATION**

Students to,

1. identify the number of faces and vertices of a given cube.

2. identify the number of edges and faces of a cuboids.

3. identify the number of faces, edges and vertices of a given pyramid and cone.

4. identify the properties of a given cylinder and sphere.

5. find volume of a given cube and cuboid.