📐 Understanding The Gradient

📝 Name: ____________________

📅 Date: ____________________

🏫 Class: Grade 8 _____

📐 GRADE 9 MATHS PROMPT (CBC Kenya Curriculum)

MATHS ADVENTURE: Find the Hidden Number!

🎯 THE CHALLENGE
A straight line has a secret code written like this:

y = 1 3 x + 7

Look carefully at the fraction! The number 1 is on top of the number 3 with a horizontal line between them. This horizontal line is called a VINCULUM.

There is a hidden number inside this code. It is called the GRADIENT (or slope).
Your mission: Find the gradient of this line!

🔢 THE FRACTION WITH VINCULUM

The fraction in our equation is written with a horizontal vinculum:

1 3

This means: ONE divided by THREE or ONE part out of THREE equal parts.

📍 POINTS ON THE LINE

Point A: (0, 7)   |   Point B: (3, 8)   |   Point C: (6, 9)   |   Point D: (9, 10)

🚶‍♂️ GRADIENT = RISE ÷ RUN

Every time you move 3 steps to the right, you move 1 step up.

GRADIENT = 1 ÷ 3 = 1 3

✏️ YOUR TURN!

Based on the equation: y = 13 x + 7

Question: What is the gradient of this line?

Gradient = ____ ____

✅ CHECK YOUR ANSWER
The gradient is the number in front of x.
Looking at the equation, the number in front of x is:

1 3

So the gradient is one-third!

⭐ FUN FACT

The word "GRADIENT" comes from the Latin word "gradiens" meaning "walking". The horizontal line in a fraction is called a VINCULUM.

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📐 MATHEMATICS PROMPT | GRADE 8-9 CBC

Topic: Gradient (Slope) of a Straight Line

❓ Question
The equation of a straight line is given as: y = 13 x + 7
Task: Determine the gradient (slope) of this line.
Marks: 1

Answer: 13

📊 Rubric

'

Criterion	Marks
Correct identification of m (the coefficient of x) → 1 mark
Correct answer written as fraction → 1 mark
Total	2 marks

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Great work, Mathematician! 🎓🧮