How Apple Maps and Math Notes Made Math More Real?
(AI was used in generating the image above.)
One of the things I enjoy most as both a Grade School Mathematics teacher and an EdTech advocate is finding simple ways to connect classroom concepts to my students’ everyday experiences. While teaching the lesson on Speed, Distance, and Time, I wanted my Grade 6 learners to see that mathematics is not just a collection of formulas written on the board, I want them to realize that it is something they encounter every day.
After all, many of them use navigation apps whenever they travel with their families. They see estimated travel times, distances, and different route options, but they rarely stop to think about the mathematics behind those numbers.
That curiosity became the starting point of this lesson.
💭Starting with a Simple Question
To spark their interest, I showed a short video about the comparion of vehicles' speed.
https://youtu.be/cxT6ByJs1SY?si=4wJlR-cZFJ5CgjUSInstead of immediately discussing formulas, I asked my students a few simple questions:
- What does it mean to travel “faster”?
- Can two vehicles travel the same distance but arrive at different times?
- Why do different modes of transportation have different travel durations?
The discussion quickly became lively. Some students shared stories about family road trips, while others talked about how motorcycles seem much faster than cars during heavy traffic.
It was the perfect opportunity to move from their experiences to mathematical thinking.
🗾Turning Maps into a Math Tool
I introduced a tool they already had on their iPads but had never considered as part of a Mathematics lesson, the Apple Maps.
Using a common point of origin and destination, such as our school and a nearby landmark, the students explored different travel options. They recorded:
- the total distance between the two locations.
- the estimated travel time for walking, driving, or other available transportation modes.
The activity immediately became more engaging because the numbers were authentic. They were not solving a problem from a textbook, they were working with data generated from the real world.
Here's a sample output from one of my students submitted on Canvas (a Learning Management System used by our school). She also used Markup in annotating her answers and putting them on the table template. Amazing how students can maximize what their iPads can offer, right?
🔎Bringing Math Notes into the Investigation
Once the students had gathered their data, it was time to apply the formula:
Speed (km/h) = Distance (km) ÷ Time (h)
Since Maps sometimes displays distances in meters and travel durations in minutes, the students used Math Notes to convert units before performing their calculations.
The technology made the computational process smoother, allowing students to focus less on tedious conversions and more on understanding the relationship among speed, distance, and time.
💡The Most Interesting Discovery
I presented additional scenarios where students were given a fixed speed and asked to determine the travel distance or travel time using information from Maps. As the students compared their answers, something unexpected happened. Their computed speeds did not always perfectly match the travel estimates provided by Maps. They observed slight variations between theoretical calculations and actual travel estimates. Rather than causing confusion, these differences encouraged richer discussions and critical thinking.
Instead of treating this as a mistake, we turned it into an investigation. I asked them:
- Why might our calculations differ slightly from the information provided by Maps?
- What factors affect travel time besides distance?
The students quickly realized that mathematics in the real world involves many variables. Their responses included the following causes:
- Traffic conditions
- Speed limits
- Road conditions
- Stops and intersections
- Route selection
- Weather conditions
At that moment, the lesson moved beyond simply solving for speed using the formula. The students began to understand that mathematical formulas create models, while real-life situations involve changing conditions that influence outcomes.
⚛️Why This Lesson Mattered
This activity reminded me that some of the most meaningful learning experiences happen when students realize that the mathematics they study in school exists all around them.
By integrating Apple Maps and Math Notes into this lesson, students were able to connect formulas to authentic situations, ask deeper questions, and think critically about the data they encountered. And wait there's more, this is not just for Math, this can be used by other disciplines like Science and Social Science. The difficulty can be adjusted depending on the grade level you're teaching.
More importantly, they discovered that mathematics is not simply about finding the correct answer, it is about understanding the world and making sense of it.
As teachers, we often look for ways to make learning relevant. Sometimes, the best tools are already in our students’ hands; we simply need to help them see those tools through the lens of learning.
ℹ️Suggested Online/App Resources
- Apple Maps
- Math Notes
- Markup
- A short introductory video about speed
Note: A slide presentation of the flow of discussion is shared in the attachment. Feel free to make a copy and edit based on your needs. Sharing is caring!
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