JSS 1 Mathematics Third Term Full Web Book

This complete third-term mathematics web book covers simple equations, plane shapes, three-dimensional figures, construction, angles, and statistics. Each topic includes six step-by-step examples, five quick brain tests, external study links, and a 30-question CBT quiz with corrections at the end.

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Third Term Scheme of Work

Scheme of Work Overview

The third term of JSS 1 Mathematics builds on the ideas of algebra, geometry, measurement, and data handling. The topics move from solving equations to understanding shapes, constructing figures, measuring angles, and presenting data in meaningful ways.

Study guide: Learn the concept, practise the worked examples, answer the quick brain tests, and then attempt the full term CBT quiz at the end.

JSS 1 Mathematics Third Term Scheme of Work
Week	Topic	Core Content
1	Simple Equations	One-step and two-step equations, unknowns, checking answers.
2	Plane Shapes	Properties of 2D shapes, sides, corners, angles, symmetry.
3	Three-Dimensional Figures	Cubes, cuboids, cylinders, cones, spheres, prisms.
4	Construction	Drawing shapes with ruler, compass and protractor.
5	Angles	Types of angles, angle properties, simple angle measurement.
6	Need for Statistics	Why statistics is important in daily life and school.
7	Data Collection	Questionnaires, tallying, interviews, observation, surveys.
8	Data Presentation	Tables, bar charts, pie chart introduction, line graphs.
9	Averages	Mean, median and mode.
10	Revision	General revision and practice.
11	Examination	Third-term assessment.

Topic 1

Simple Equations

Simple equations contain an unknown number. We solve them by using inverse operations such as addition, subtraction, multiplication, or division. The aim is to isolate the unknown on one side of the equation.

Key idea

Whatever is done to one side must also be done to the other side.

Goal

Find the value of the unknown symbol.

Check

Substitute your answer to confirm it is correct.

Worked examples

Example 1

Question: x + 5 = 12

Step 1: Subtract 5 from both sides.

Step 2: x = 12 - 5.

Step 3: x = 7.

Example 2

Question: y - 4 = 9

Step 1: Add 4 to both sides.

Step 2: y = 9 + 4.

Step 3: y = 13.

Example 3

Question: 3n = 21

Step 1: Divide both sides by 3.

Step 2: n = 21 ÷ 3.

Step 3: n = 7.

Example 4

Question: a / 5 = 6

Step 1: Multiply both sides by 5.

Step 2: a = 6 × 5.

Step 3: a = 30.

Example 5

Question: 2x = 18

Step 1: Divide both sides by 2.

Step 2: x = 18 ÷ 2.

Step 3: x = 9.

Example 6

Question: m + 8 = 20

Step 1: Subtract 8 from both sides.

Step 2: m = 20 - 8.

Step 3: m = 12.

Quick Brain Tests

1. Solve x + 3 = 10

Answer: x = 7.

2. Solve 5p = 35

Answer: p = 7.

3. Solve y - 6 = 2

Answer: y = 8.

4. Solve 4a = 28

Answer: a = 7.

5. Solve n / 4 = 5

Answer: n = 20.

Topic 2

Plane Shapes

Plane shapes are two-dimensional shapes that lie on a flat surface. They have length and width but no thickness. Examples include triangles, rectangles, squares, circles and pentagons.

Properties

Study sides, corners, angles, symmetry, and equal lengths.

Classification

Shapes are grouped by the number of sides and special properties.

Use

Plane shapes are found in tiles, boards, signs, and drawings.

Worked examples

Example 1

Question: Name a shape with 3 sides.

Step 1: Count the sides.

Step 2: A 3-sided shape is called a triangle.

Step 3: Answer: triangle.

Example 2

Question: How many sides does a square have?

Step 1: Recall the properties of a square.

Step 2: A square has 4 equal sides.

Step 3: Answer: 4 sides.

Example 3

Question: What shape has all points on a fixed distance from the centre?

Step 1: Think of round plane shapes.

Step 2: That shape is a circle.

Step 3: Answer: circle.

Example 4

Question: A rectangle has how many sides?

Step 1: Count the edges of a rectangle.

Step 2: It has 4 sides.

Step 3: Answer: 4 sides.

Example 5

Question: A pentagon has how many sides?

Step 1: Remember the prefix penta means five.

Step 2: Count 5 sides.

Step 3: Answer: 5 sides.

Example 6

Question: Name a shape with 4 equal sides and 4 right angles.

Step 1: Check the properties.

Step 2: That shape is a square.

Step 3: Answer: square.

Quick Brain Tests

1. Shape with 4 equal sides and 4 right angles?

Square.

2. Shape with 3 sides?

Triangle.

3. Shape with 5 sides?

Pentagon.

4. Round plane shape?

Circle.

5. Shape with opposite sides equal and parallel?

Rectangle.

Topic 3

Three-Dimensional Figures

Three-dimensional figures have length, width and height. They occupy space and can be held or touched. Examples include cube, cuboid, cylinder, cone, sphere and prism.

Faces

Flat surfaces of a 3D figure.

Edges

Lines where faces meet.

Vertices

Corner points of the figure.

Worked examples

Example 1

Question: Name a figure with 6 equal square faces.

Step 1: Recall common 3D figures.

Step 2: A cube has 6 equal square faces.

Step 3: Answer: cube.

Example 2

Question: Which figure looks like a matchbox?

Step 1: Compare everyday objects.

Step 2: A matchbox is like a cuboid.

Step 3: Answer: cuboid.

Example 3

Question: Which figure has a circular base and curved surface?

Step 1: Think of curved objects.

Step 2: A cylinder has circular bases and curved surface.

Step 3: Answer: cylinder.

Example 4

Question: Which figure has one pointed top and a circular base?

Step 1: Think of a cone.

Step 2: A cone has one vertex and a circular base.

Step 3: Answer: cone.

Example 5

Question: Which shape is perfectly round like a ball?

Step 1: Think of a ball.

Step 2: A ball is a sphere.

Step 3: Answer: sphere.

Example 6

Question: A cube has how many faces?

Step 1: Recall the properties of a cube.

Step 2: Count its faces.

Step 3: Answer: 6 faces.

Quick Brain Tests

1. Figure like a die?

Cube.

2. Figure like a tin can?

Cylinder.

3. Figure like a football?

Sphere.

4. Figure with one circular base and one vertex?

Cone.

5. Figure like a brick?

Cuboid.

Topic 4

Construction

Construction in mathematics means drawing accurate shapes and lines using ruler, compass and protractor. It develops precision and careful observation.

Tools

Ruler, compass, protractor and pencil.

Purpose

To draw accurate lines, angles and shapes.

Skill

Care and accuracy are very important.

Worked examples

Example 1

Question: Draw a line segment 6 cm long.

Step 1: Place the ruler on the page.

Step 2: Mark 0 cm and 6 cm.

Step 3: Join the marks with a straight line.

Example 2

Question: Draw a 90° angle.

Step 1: Draw a baseline.

Step 2: Use a protractor to mark 90°.

Step 3: Join the mark to form the angle.

Example 3

Question: Draw a triangle with 5 cm, 4 cm and 3 cm sides.

Step 1: Draw the first side 5 cm.

Step 2: Use the compass to locate 4 cm and 3 cm lengths from the ends.

Step 3: Join the points to form the triangle.

Example 4

Question: Construct the perpendicular bisector of a line segment.

Step 1: Draw the segment.

Step 2: Use compass arcs from both ends with the same radius.

Step 3: Join the arc intersections to get the perpendicular bisector.

Example 5

Question: Construct a 60° angle.

Step 1: Draw a base line.

Step 2: Use the protractor to mark 60°.

Step 3: Draw the second arm through the mark.

Example 6

Question: Draw a square of side 4 cm.

Step 1: Draw one side 4 cm long.

Step 2: Construct right angles at the ends.

Step 3: Mark the remaining sides and close the shape.

Quick Brain Tests

1. Tool for measuring angles?

Protractor.

2. Tool for drawing circles?

Compass.

3. Angle of a square corner?

90°.

4. Tool for measuring length?

Ruler.

5. Shape drawn with equal sides and right angles?

Square.

Topic 5

Angles

An angle is formed when two lines meet at a point. Angles are measured in degrees. Common types are acute, right, obtuse, straight, reflex and full turn angles.

Acute

Less than 90°.

Right

Exactly 90°.

Obtuse

Greater than 90° but less than 180°.

Worked examples

Example 1

Question: Name an angle less than 90°.

Step 1: Compare with 90°.

Step 2: It is an acute angle.

Step 3: Answer: acute angle.

Example 2

Question: Name an angle exactly 90°.

Step 1: Check the angle value.

Step 2: 90° is a right angle.

Step 3: Answer: right angle.

Example 3

Question: Name an angle between 90° and 180°.

Step 1: Compare the range.

Step 2: That is an obtuse angle.

Step 3: Answer: obtuse angle.

Example 4

Question: What is a straight angle?

Step 1: Think of a straight line.

Step 2: A straight angle measures 180°.

Step 3: Answer: 180°.

Example 5

Question: What is the sum of angles on a straight line?

Step 1: A straight line is 180°.

Step 2: The total is 180°.

Step 3: Answer: 180°.

Example 6

Question: What type of angle is 120°?

Step 1: Compare 120° with 90° and 180°.

Step 2: It lies between them.

Step 3: Answer: obtuse angle.

Quick Brain Tests

1. Angle less than 90°?

Acute angle.

2. Angle exactly 90°?

Right angle.

3. Angle greater than 90° but less than 180°?

Obtuse angle.

4. Angle on a straight line?

180°.

5. Use of protractor?

Measure angles.

Topic 6

Need for Statistics, Data Collection, Data Presentation and Averages

Statistics helps us collect, arrange, present and interpret data. It is useful in schools, homes, business, sports and research. We use averages like mean, median and mode to understand data more clearly.

Why statistics?

To make sense of numbers and information.

Collect data

Use tally marks, questionnaires, observation and interviews.

Present data

Use tables, charts and graphs.

Worked examples

Example 1

Question: Why do we need statistics?

Step 1: Statistics helps us organize and understand data.

Step 2: It shows patterns and summaries clearly.

Step 3: Answer: to collect, present and interpret data.

Example 2

Question: List one method of collecting data.

Step 1: Think of ways to gather information.

Step 2: One method is questionnaire.

Step 3: Answer: questionnaire.

Example 3

Question: What is the mode of 2, 3, 3, 4, 5?

Step 1: Count repeated values.

Step 2: 3 appears most often.

Step 3: Answer: 3.

Example 4

Question: Find the median of 2, 4, 6, 8, 10.

Step 1: Arrange the values in order.

Step 2: The middle number is 6.

Step 3: Answer: 6.

Example 5

Question: Find the mean of 2, 4, 6.

Step 1: Add the values: 2 + 4 + 6 = 12.

Step 2: Count the values: 3.

Step 3: Mean = 12 ÷ 3 = 4.

Example 6

Question: Present data using a table.

Step 1: List values in rows and columns.

Step 2: Label the table clearly.

Step 3: Read the table to compare values.

Quick Brain Tests

1. Most frequent value?

Mode.

2. Middle value?

Median.

3. Average value?

Mean.

4. Method of collecting data?

Questionnaire / interview / observation.

5. Diagram used to show data?

Chart or graph.

External Resources

CBT Practice Test

30 questions | Timed quiz | Corrections appear after submission.

20:00

Send Score by Email

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Quiz Result

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