Chapter-wise AI-Supported Exploration Tasks for Students to Explore with AI (Mathematics - Semester 1)
Table 8.1: Chapter-wise Tasks
| Chapter | Foundational Level | Analytical Level | Creative Level |
|---|---|---|---|
| Chapter 1: Large Numbers Around US | • Define a lakh and a crore. • Round 4,63,128 to the nearest lakh. |
• Compare the Indian and American number systems. • Explain why rounding (approximation) is useful in real life in AI systems. |
• Investigate how search engines use approximations to rank and display results. • Create a large-number dataset and identify a rising or falling trend with it. |
| Chapter 2: Expressions | • List the terms in the expression 23 - 10 × 2 • Define the distributive property with an example. |
• Write a linear expression for a real-life pricing situation (e.g. taxi fare) • Evaluate your expression for 3 different inputs and describe the pattern. |
• Explore how computers use the order of operations. • Design a simple prediction machine that uses a linear expression to produce outputs for different inputs. |
| Chapter 3: A Peek Beyond the point | • Convert 7/10 into a decimal. • List three places where decimals are used in daily life. |
• Compare 2.5 and 2.05 which is larger and why? • Explain how a weather AI uses decimal temperature readings to identify a rising or falling trend. |
• Investigate how sensor data is stored as decimal numbers in AI systems. • Research a historical decimal disaster and explain how better data handling could have prevented it. |
| Chapter 4: Expression using Letter Numbers | • Write an expression for 5 more than a number. • Model three different pricing plans as linear equation and compare their predictions graphically. |
• Write a linear equation for a taxi fare (base fare + rate per km) and explain why it is a prediction model. | • Explain how algebraic formulas are like algorithms in a computer program. |
| Chapter 5: Parallel and Intersecting Lines | • Define parallel and perpendicular lines. • Identify a pair of parallel lines in the classroom. |
• If two parallel lines are cut by a transversal forming a 60° angle find all other angles and give a reason for each step. • Practise explainable thinking state not just the answer, but why each step follows. |
• Investigate how self-driving cars use geometry and sensors to detect road lanes. • Design an explainable rule card for a geometry proof, with a clear reason written for every step. |
| Chapter 6: Number play | • Define even and odd numbers (parity). • Find the mean of 72, 85, 68, 91, 74 |
• Calculate the mean, median, and mode of a small dataset. • Explain why an AI health app uses average steps rather than a single day's count to detect a change. |
• Research how parity is used in computer error detection. • Investigate the Virahanka Fibonacci sequence in nature and describe what pattern an AI would learn from it. |
| Chapter 7: A Tale of Three Intersecting Lines | • List the three types of triangles based on sides. • State of Triangle Inequality. |
• Explain why a triangle with sides 3, 4, and 8 is impossible. • Construct a triangle given two sides and the included angle (SAS) and justify each construction step. |
• Explain a step-by-step proof of the Angle sum Property using parallel lines. • Research and describe how GPS trilateration to find precise locations. |
Myths and Facts about AI
Table 8.2: Myth vs Truth
| Myth | Truth |
|---|---|
| AI thinks and feels like humans. | AI does not have feelings. It follows instructions and patterns in data. |
| AI predictions are always fair. | If the data is unbalanced, AI predictions can be unfair. |
| AI works without Mathematics | AI depends on mathematics like pattern, ratios, and logical rules |
