πSunita Sharma
A holiday homework guide · 2025

Maths in the world around us.

Holiday homework and project guidance curated by Sunita Sharma — turning numbers, patterns, shapes, and measurements into a quiet, careful discovery.

SS
A note from
Sunita Sharma

“Look carefully. Mathematics is not only in textbooks — it is in flowers, homes, budgets, buildings, markets, and the patterns of daily life.”

Class VIII · Nature-ledSpirals · Leaves · Honeycombs · Symmetry

Geometry in nature.

The hidden mathematics around us — observed gently, drawn carefully, and explained in your own words.

01

Shapes in Nature

Circles, triangles, spirals, hexagons — found in shells, honeycombs, leaves, and flowers.

02

Symmetry & Patterns

Symmetry in butterflies, spider webs, honeycombs, leaves, and the radial bloom of flowers.

03

Draw with Tools

Use ruler, compass, and protractor to draw neat figures related to your topic.

04
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Calculate & Measure

Find area, perimeter, angles and measurements of each figure you use.

05

Real-Life Application

One clear application — bee combs, architecture borrowed from leaves, packing in pinecones.

06

Creative Finish

Colourful illustrations, labels, and a thoughtful conclusion on maths in nature.

Class VIIIBrief 01·The hidden mathematics around us.

Geometry in Nature

What you will explore — Observe how mathematics exists in nature through geometrical figures, symmetry, patterns, measurements and calculations — in flowers, leaves, honeycombs, shells and butterflies.

Topics covered
  • Geometrical shapes — circles, triangles, spirals, hexagons
  • Symmetry and patterns in nature
  • Constructions with ruler, compass and protractor
  • Area, perimeter, angles and measurement
What to include
  • 01Collect or draw geometrical shapes found in nature (shells, honeycombs, leaves, flowers).
  • 02Explain symmetry observed in butterflies, spider webs, honeycombs and radial flowers.
  • 03Draw neat geometrical figures using ruler, compass and protractor.
  • 04Calculate area, perimeter, and angles of the figures you use.
  • 05Include one real-life application of mathematics in nature.
  • 06Add colourful, labelled illustrations and a thoughtful conclusion.
Make it excellent
  • Use real photographs alongside your hand-drawn diagrams.
  • Label every figure — measurements, angles, units.
  • Keep the file colourful, but never messy.
  • End with a short reflection: ‘what did nature teach me about maths?’
Self-check
Brief · class-8-geometry-in-nature-brief.md
Class X · Applied & AnalyticalBudgets · Banking · Architecture · Trigonometry

Two projects. One careful eye.

Choose your direction — money or measurement. Both ask the same quiet question: where does maths live in the world I already know?

Class X · Project 01Brief 01·A money & maths lab.

Mathematics in Daily Budget and Banking

What you will explore — Understand how mathematics works inside family budgets, shopping bills, banks, interest, shares, dividends, and graphs — the maths that quietly runs every household.

Topics covered
  • GST
  • Banking — Simple Interest and Compound Interest
  • Shares and Dividends
  • Graphs
What to include
  • 01Prepare a monthly family budget.
  • 02Calculate GST on household items.
  • 03Compare interest earned in different banks.
  • 04Study share prices of any two companies.
Make it excellent
  • Use real or sample household items with prices.
  • Show every calculation step by step, with units.
  • Use a neat ruled table for the budget.
  • Use a graph to compare interest or share prices.
  • End with: ‘what did I learn about maths in money decisions?’
Self-check
Brief · class-10-budget-banking-brief.md
Class X · Project 02Brief 02·An architecture & angles expedition.

Geometry and Trigonometry in Nature and Architecture

What you will explore — Explore how geometrical shapes and trigonometry are used in monuments, buildings, bridges and the natural world — and how angles let us measure what we cannot touch.

Topics covered
  • Mensuration
  • Trigonometry — Trigonometric Ratios
  • Heights and Distances
  • Coordinate Geometry
  • Geometry
What to include
  • 01Choose a monument, building, bridge, tree, tower or natural object.
  • 02Identify the geometrical shapes and angles it contains.
  • 03Show neat, labelled diagrams of the structure.
  • 04Use trigonometric ratios to estimate a height or distance.
Make it excellent
  • Pick a structure you can actually see — local matters.
  • Draw the diagram to scale wherever possible.
  • Label every angle, side and unit.
  • Show the trigonometry working line by line.
  • Add a conclusion connecting maths with real-world design.
Self-check
Brief · class-10-geometry-trigonometry-brief.md
Student creativity toolkit

Make your project file stand out.

Six small habits that turn an ordinary file into one a teacher remembers. Use them in any order — but use them all.

01Habit

Observe.

Look for maths in real surroundings — markets, kitchens, parks, courtyards.

02Habit

Sketch.

Draw clearly with ruler, compass, and protractor. No freehand on important diagrams.

03Habit

Measure.

Add numbers, units, angles, area and perimeter — never leave a diagram naked.

04Habit

Compare.

Use tables and graphs where comparisons help the reader understand quickly.

05Habit

Label.

Every diagram should be labelled. Every label should be necessary.

06Habit

Conclude.

End with what the project helped you understand — in your own words.

Brief downloads

Take the briefs with you.

Each brief is a clean Markdown file with the full topic, activities, the Make it excellent tips, and a self-check. Open it in any notes app, or print it for your project file.

  • Class VIII
    Geometry in Nature
    class-8-geometry-in-nature-brief.md
  • Class X · Project 01
    Mathematics in Daily Budget and Banking
    class-10-budget-banking-brief.md
  • Class X · Project 02
    Geometry and Trigonometry in Nature and Architecture
    class-10-geometry-trigonometry-brief.md
Before you submit

A calm, final look.

Go slowly. Read each item aloud. If something isn’t true yet, fix it — don’t hide it.