I have generated the math prompt as requested, executed it, and converted the result into a standalone HTML document, saved as `gradient_worksheet.html`. The content uses visual fraction representation, real-world examples, and a friendly layout suitable for a Grade 8 Kenyan CBC student. ```html

📖 Name: ___________________________

📅 Date: ___________________________

🏫 Grade: 8  |  CBC

📐 GRADIENT HUNT 🕵️‍♀️

🔢 Mathematics · Straight Lines · CBC Grade 8

🚀 THE CHALLENGE

A secret code is hiding inside a line. Can you find the GRADIENT (the steepness)?

y = (1/3)x + 7

Your mission: find the number that tells you how steep this line is. That number is the GRADIENT! 💪🏾

🧗 WHAT IS GRADIENT? (Steepness)

Gradient means how much a line goes up or down when you move one step to the right. We see gradients every day!

📌 Real-life example	What the gradient means
🏔️ Mountain road (very steep)	Gradient = large number, e.g. 21 (goes up 2 metres for every 1 metre forward)
🏞️ Gentle ramp (wheelchair access)	Gradient = small fraction, e.g. 112
📏 Flat road	Gradient = 0 (no rise)
⬇️ Downhill slide	Gradient = negative number, e.g. –12

✍️ THE LINE WE ARE INVESTIGATING

Our line is written as:

y = 13 x + 7

🔍 Where is the gradient hidden? In the number that multiplies x (the coefficient of x).

📚 STEP-BY-STEP GUIDE (no formulas memorized – just match!)

✅ Step 1 – Remember the family of straight lines

Any straight line can be written as:

y = (gradient) × x + (starting number)

We often call gradient the letter m.

✅ Step 2 – Compare with your line

Your line:   y = 13 x + 7

So the number beside x is 13 (one-third).

✅ Step 3 – That number IS the gradient!

✅ Gradient = 13

🎯 YOUR TURN!

What is the gradient of the line y = 13 x + 7 ?

Gradient = ___________

💡 Hint: find the number that is attached to x (the one that multiplies x). Ignore the +7.

🚶 WHAT DOES A GRADIENT OF 13 MEAN?

• 👉 Move 3 steps to the right (increase x by 3)
• 👆 The line goes UP by 1 step

✅ Gradient = rise ÷ run : rise = 1 , run = 3

So for every 1 unit you move right, the line goes up by only 13 of a unit. It is a gentle slope.

📈 gentle upward slope

↗️➡️

🏗️ REAL-LIFE CONNECTION (CBC Competency)

In Kenya, when building a ramp or a road, engineers use gradient. A gradient of 13 means the road rises 1 metre for every 3 metres horizontally. That is safe for cars and bicycles.

Gradients help us design safe paths, roofs, and even water drainage!

📋 SELF CHECK (tick what you understood)

• ✅ I can find the gradient by looking at the number before x.
• ✅ I know that gradient = rise / run.
• ✅ I can read a fraction like 13 as "one third".
• ✅ I can explain that a gradient of 13 means a gentle upward slope.

✅ GRADIENT – CORRECT ANSWER

13

Well done! You have successfully decoded the steepness of the line 🎉

---

Full equation: y = (1/3)x + 7    ➜   Gradient = 13 ; y-intercept = 7

---

✨ Mathematics is everywhere – from classroom to construction sites ✨
📍 Keep practicing gradients – you are becoming a maths detective! 🕵️‍♀️

```