Grade 6 · Maths · Lessons
When one changes, so does the other
🚴Mia🎟️tickets🐕dogs📈graph
Changing together.The big ideaA table, a graph and an equation can all show the same steady change.
How it works
A table, a graph and an equation can all show the same steady change.
d = 6t means every hour adds 6 miles.
If the cost is 9 dollars for each ticket, the cost is 9n for n tickets.
Example 1: Read the equation
- Mia bikes with d = 6t, where t is hours.
- In 3 hours: 6 × 3 = 18.
- She bikes 18 miles.
Example 2: Find the equation
- Each ticket costs 9 dollars. n is the number of tickets and c is the cost.
- Each ticket adds 9.
- c = 9n.
Example 3: Plot a point
- Ava earns 3 dollars an hour. At 2 hours she has 6 dollars.
- Plot 2 across and 6 up.
- Every hour adds 3 up.
Words to know
- equation
- A number sentence with an equals sign.
- rate
- How much changes for each one.
Watch out
- Look for what stays the same each step.
- Across is the first quantity.
- A steady change makes a straight line.
Try it
- d = 5t. How far in 4 hours?
- Each pen costs 2 dollars. Write the cost for n pens.
- In a table, t = 1, d = 7. What is d when t = 3?
- What shape does a steady change make on a graph?
Answers: 1. 20 · 2. 2n · 3. 21 · 4. a straight line
For grown-upsMake a table of your walking pace: minutes and blocks walked.