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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?

Distance

Time

Speed

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?

All of the above

Showing the height of plants over time

Assigning different weights to types of balls

Displaying the speed of a car during a trip

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 speed of a car over time

The weights of different types of balls

The sales of a certain product over the last 6 months

The temperature in a city over 24 hours

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?

Time and speed cannot be mapped.

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.

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

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's speed decreased continuously during this time.

The car's speed increased continuously during this time.

The car stopped during this time.

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

The speed remained constant for the first 2 hours.

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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