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Introduction to Mapping

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Introduction to Mapping

Algebra and Graphs Introduction to Mapping

Courses Overview

🎬 Video Tutorial

(0:01) Mapping Definition in Math: Mapping shows the relationship between two quantities, where each input (e.g., time) has a corresponding output (e.g., speed).
(1:10) Using Tables and Graphs for Mapping: Tables provide exact values for each pairing, while graphs allow easy visualisation of trends, such as changes in speed over time.
(1:55) When to Connect Points on Graphs?: Points are connected to show continuous changes, like speed over time, but remain separate for distinct categories, like types of balls and their weights.

📂 Revision Cards

Mapping time to speed with a table showing time in hours and corresponding speed in km/h, illustrating the relationship between the two quantities. — 1) Mapping Definition and Example

Mapping of time and speed shown through a table and graph, with time in hours and speed in km/h. — 2) Mapping Example 1 (Table & Graph)

Table and graph comparing the weights of different types of balls. — 3) Mapping Example 2 (Table & Graph)

🍪 Quiz Time - Practice Now!

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Introduction to Mappings

1 / 6

Q: If the time (hours) is mapped to speed (km/h), which is the input quantity?

Speed

Time

Distance

Hours and speed

Feedback: Not quite! Time is the input quantity, and speed is the output quantity in this mapping.

Feedback: Well done! Time is the input quantity, and speed is the output quantity in this mapping.

2 / 6

Q: Which of the following is an example of a mapping?

Displaying the speed of a car during a trip

All of the above

Showing the height of plants over time

Assigning different weights to types of balls

Feedback: Not quite! Mapping describes the relationship between two quantities, so all of these are examples of mappings.

Feedback: Well done! Mapping describes the relationship between two quantities, so all of these are examples of mappings.

3 / 6

Q: Which of the following should not be represented by a connected line on a graph?

The temperature in a city over 24 hours

The weights of different types of balls

The sales of a certain product over the last 6 months

The speed of a car over time

Feedback: Not quite! The weights of different types of balls should not be connected by a line because they represent distinct, unrelated categories.

Feedback: Well done! The weights of different types of balls should not be connected by a line because they represent distinct, unrelated categories.

4 / 6

Q: After 3 hours of driving, the car’s speed was 100 km/h. What does this mean in mapping terms?

Speed is mapped to time. The input is 100 km/h and the output is 3 hours.

Both time and speed are inputs with no outputs.

Time is mapped to speed. The input is 3 hours and the output is 100 km/h.

Time and speed cannot be mapped.

Feedback: Not quite! In mapping, time is the independent variable (input), and speed is the dependent variable (output). For this example, the input 3 is mapped to the output 100 km/h.

Feedback: Well done! In mapping, time is the independent variable (input), and speed is the dependent variable (output). For this example, the input 3 is mapped to the output 100 km/h.

5 / 6

Q: The graph of a car's speed shows a flat horizontal line between the 3rd and 5th hours. What does this mean?

The car stopped during this time.

The car's speed decreased continuously during this time.

The car maintained a constant speed during this time.

The car's speed increased continuously during this time.

Feedback: Not quite! A flat horizontal line on a speed-time graph indicates that the car maintained a constant speed.

Feedback: Well done! A flat horizontal line on a speed-time graph indicates that the car maintained a constant speed.

6 / 6

Q: A table shows hours and speeds. Which statement is true?

The mapping is invalid because speeds repeat.

The speed remained constant for the first 2 hours.

The speed increased for 3 hours, stayed constant for 1 hour, and then decreased.

The speed decreased continuously after 2 hours.

Feedback: Not quite! The speed increased for the first 3 hours, stayed constant between 3 and 4 hours, and then decreased in the 5th hour.

Feedback: Well done! The speed increased for the first 3 hours, stayed constant between 3 and 4 hours, and then decreased in the 5th hour.

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