Revision / Number line Mathematics Primary 5

SUBJECT: MATHEMATICS

CLASS: BASIC FIVE / PRIMARY 5

TERM : SECOND TERM

WEEK : WEEK 1

TOPIC : REVISION / NUMBER LINE

• Revision of First term’s work
• Addition using number line
• Subtraction using number line
• Real life problems
• Quantitative Reasoning

Importance

• It is used for easy addition and subtraction procedures
• It helps in the reading of clinical thermometer

Learning Objectives : pupils should be able to

• Revise first term’s topic
• Add and subtract numbers using number lines
• Solve quantitative Reasoning problems related to addition and subtraction of integers using number lines
• Solve real-life problems involving addition and subtraction, such as reading a thermometer and measuring the height of a building.

Learning Activities :

• Pupils are guided to write – 7 to +7 on sticky note and place them on the floor in the classroom in ascending or descending order on a number line and allow enough space in-between the numbers
• 3-4 pupils select simple addition or subtraction flash cards from basket eg 1 +6, 2 – 5, 3 +4, etc. Each pupil in turn is to stand and walk on the number line for addition and subtraction. Pupils in the class count aloud the movement of the volunteer according to the flash card picked
• Pupils in groups use letters to represent numbers on line eg which letter beat represent the number of 2 on the number line

Embedded Core Skills

• Critical thinking and problem solving skills
• Communication and Collaboration
• Leadership skills and Personal Development

Learning Resources

• Counting paper
• Number line
• Sticky notes
• Flash cards
• Number lines, thermometers, measuring tapes, rulers, pictures of real-life situations that involve addition and subtraction (e.g. a gas gauge, a clock, a shopping cart, a recipe)

Content

A number line is a visual representation of the set of real numbers, typically arranged horizontally with the numbers increasing from left to right. It is used to help understand concepts such as addition, subtraction, and inequality. Points on the number line correspond to specific real numbers, and operations such as addition and subtraction can be represented by moving along the number line.

 

In mathematics, a number line is often used to help visualize the concept of addition. When adding two numbers, the number line can be used to represent the first number as a point on the line, and the second number as the distance to move from that point.

 

For example, if we want to add 3 and 5, we would start at the point on the number line that represents 3, and then move 5 units to the right. The final point reached would represent the sum of 3 and 5, which is 8.

This can be visualized as starting on the number 3 and then moving 5 units to the right and land on 8.

 

Another way to think about it is to imagine a point on the number line is a starting point and the other number we want to add is the distance we need to move. The final point is where we will land if we move that distance.

This helps students understand the concept of addition and how it relates to the real numbers.

Here is an example of a number line that can be used to calculate 8 + 7:

-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
|
8
|
|
|
|
|
|
|
|
|
|
|
15

 

We can start by locating the point on the number line that represents 8, which is the number on the number line. Then, we can move 7 units to the right to find the sum of 8 + 7, which is 15.

We can see this as starting on 8, then moving 7 units to the right and land on 15.

It’s important to note that in this example, the numbers on the number line are not necessarily the only numbers that can be added to 8, you can add any real number to 8 and move on the number line accordingly.

 

Here is an example of a number line that can be used to calculate 3 + 5 horizontally:

 

3 4 5 6 7 8
|—-|—-|—-|—-|—-|

—-	—-	—-	—-	—-
—-	—-	—-	—-	—-
—-	—-	—-	—-	—-

 

Real life problems  involving addition and subtraction of numbers with number line like reading the thermometer, etc

1. Reading a thermometer: When reading a thermometer, you may use a number line to help you determine the temperature. The position of the mercury or the digital reading on the thermometer would correspond to a specific point on the number line, and you would use this point to determine the temperature. For example, if the mercury is halfway between 20 and 25 degrees, you could use the number line to visualize that the temperature is 22.5 degrees.
2. Measuring the height of a building: When measuring the height of a building, you could use a number line to help you determine the building’s height. You would start at the base of the building, and then use a measuring device to determine the distance to the top of the building. This distance would correspond to a specific point on the number line, and you could use this point to determine the height of the building.
3. Shopping: When shopping, you may use a number line to help you keep track of the cost of items you are buying. You could start at zero and add the cost of each item as you put it in your cart. This would help you keep track of how much you are spending and make sure you don’t exceed your budget.
4. Cooking: When cooking, you may use a number line to help you measure ingredients. You would start at zero and add the measurements of each ingredient as you add it to the recipe. This would help you ensure that you are adding the correct amount of each ingredient and that your recipe will turn out correctly.
5. Time management: When managing your time, you may use a number line to help you visualize how much time you have. You could start at zero and add the time you spend on each task. This would help you keep track of how much time you have spent and how much time you have left to complete your tasks.
6. Gas level in a car: When checking the gas level in a car, you may use a number line to help you determine how much gas is in the tank. You would start at zero and add the amount of gas you put in the tank. This would help you keep track of how much gas is in the car and when you need to fill it up again.

Importance of Number line

1. It is used for easy addition and subtraction procedures
2. It helps in the reading of clinical thermometer
3. It helps in visualizing mathematical operations such as addition and subtraction
4. It allows for understanding of concepts such as inequality and the relationship between numbers
5. It helps students understand the concepts of positive and negative numbers
6. It provides a simple and intuitive way to represent real numbers
7. It can be used to solve problems in various fields such as measurement, time management, and budgeting.
8. It helps in a better understanding of fractions and decimals
9. It can be used to perform conversions between different units of measurement
10. It is a valuable tool for problem-solving and critical thinking in real-life situations.

Evaluation

1. When measuring the height of a building, what tool would you use in conjunction with a number line to determine the building’s height? a) A ruler b) A thermometer c) A measuring tape d) A level
2. When shopping, how can you use a number line to help you keep track of the cost of items you are buying? a) By starting at zero and adding the cost of each item as you put it in your cart b) By starting at the highest price and subtracting the cost of each item as you put it in your cart c) By starting at the lowest price and subtracting the cost of each item as you put it in your cart d) By starting at the highest price and adding the cost of each item as you put it in your cart
3. When cooking, how can you use a number line to help you measure ingredients? a) By starting at zero and subtracting the measurements of each ingredient as you add it to the recipe b) By starting at the highest measurement and subtracting the measurements of each ingredient as you add it to the recipe c) By starting at zero and adding the measurements of each ingredient as you add it to the recipe d) By starting at the highest measurement and adding the measurements of each ingredient as you add it to the recipe
4. When managing your time, how can you use a number line to help you visualize how much time you have? a) By starting at zero and adding the time you spend on each task b) By starting at the highest time and subtracting the time you spend on each task c) By starting at the lowest time and subtracting the time you spend on each task d) By starting at the highest time and adding the time you spend on each task
5. When checking the gas level in a car, how can you use a number line to help you determine how much gas is in the tank? a) By starting at zero and subtracting the amount of gas you put in the tank b) By starting at the highest level and subtracting the amount of gas you put in the tank c) By starting at zero and adding the amount of gas you put in the tank d) By starting at the highest level and adding the amount of gas you put in the tank
6. When reading a thermometer, what does the position of the mercury or the digital reading on the thermometer correspond to on a number line? a) A specific point b) A specific interval c) A specific range d) A specific measure
7. When measuring the weight of an object, what tool would you use in conjunction with a number line to determine the weight of the object? a) A ruler b) A thermometer c) A scale d) A level
8. When counting money, how can you use a number line to help you keep track of the total amount of money you have? a) By starting at zero and adding the value of each coin or bill as you count it b) By starting at the highest value and subtracting the value of each coin or bill as you count it c) By starting at the lowest value and subtracting the value of each coin or bill as you count it d) By starting at the highest value and adding the value of each coin or bill as you count it
9. When measuring the distance between two points, what tool would you use in conjunction with a number line to determine the distance? a) A ruler b) A thermometer c) A measuring tape d) A level

 

 

Lesson Presentation

Step 1:

• Begin the lesson by asking students if they have ever used a number line before.
• Explain that today, they will be learning how to use number lines to solve real-life problems.

Step 2 :

• Show students different real-life situations that involve addition and subtraction (e.g. a gas gauge, a clock, a shopping cart, a recipe).
• Ask students to identify what mathematical operation is being performed in each situation.
• Show students how to use a number line to solve each problem. For example, to find out the temperature using a thermometer, we can locate the point on the number line that corresponds to the position of the mercury or the digital reading on the thermometer, and use this point to determine the temperature.
• Give students time to practice using number lines to solve the problems independently or in small groups.

Step 3:

• Provide students with additional real-life situations that involve addition and subtraction (e.g. measuring the height of a building, counting money).
• Have students use number lines to solve the problems.
• Circulate the room to provide assistance as needed.

Step 4:

• Give students a worksheet with various real-life situations that involve addition and subtraction.
• Have students use number lines to solve the problems independently.
• Collect and grade the worksheets for assessment.

Conclusion :

• Review the importance of number lines in solving real-life problems and how it allows for an understanding of concepts such as inequality and the relationship between numbers, and it helps students understand the concepts of positive and negative numbers, it provides a simple and intuitive way to represent real numbers, it can be used to perform conversions between different units of measurement, and it is a valuable tool for problem-solving and critical thinking in real-life situations.

Assign homework or independent practice to reinforce the concepts learned in the lesson.

Revision

MATHEMATICS FIRST TERM EXAMINATION PRIMARY 5

 

Common Entrance Examination Questions

Mathematics and Quantitative Reasoning

 

Mathematics Primary 5 First Term Examination

 

Mathematics Primary 5 First Term Examination