We the Travellers – I

Chapter 1

A Note to Teachers about this Teacher Resource Document

This Teacher Resource Document has been designed to support teachers in effectively teaching “We the Travellers – 1” to students in an inclusive classroom environment. The document emphasises meaningful understanding and application of Large numbers, Distance and its measurements through inclusive teaching strategies, differentiated adaptations, and engaging learner-centered activities that address diverse learning needs.

In addition to detailed classroom guidance, the resource provides a comprehensive range of supporting materials, including videos, ISL-enabled videos, audio resources, learning-teaching materials, learning cards, and visual organisers. Textbook activities have been further enriched and adapted using the principles of Universal Design for Learning (UDL) to ensure accessibility and participation for all learners. Teachers may effectively integrate the provided content, strategies, and aids to create an inclusive learning experience and achieve the intended learning outcomes for every student.

Learning Objective

• Read and write numbers up to 5 digits (up to ten thousands) in numerals and in words
• Write a given number in expanded form and convert a number from expanded form back to standard form.
• Compare two or more large numbers (up to 5 digits) using place-value reasoning and order them in ascending or descending order. 
• Recognize and extend numerical patterns in a sequence by identifying the rule connecting consecutive terms. 
• Round off a given number to the nearest ten, hundred, or thousand, using a number line or place-value reasoning to justify the choice. 
• Identify situations where distance is measured in metres and kilometres.
• Compare two distances using near, far, and farther.
• Estimate the distance of a journey before measuring.
• Read and interpret distance information from a simple table.
• Trace a route on a simple map and describe the path.
• Solve word problems related to travel distance.

Concepts and Sub-concepts Covered

• Building and Reading Large numbers
• Expanded and Short forms
• Comparing and Ordering Large Numbers
• Number Patterns
• Rounding Off (Estimation)
• Units of Distance
• Comparing distances
• Estimating distances
• Reading distance data
• Maps and routes
• Word Problems on Travel Distance

Prerequisites

• Solid command of numbers up to 4 digits (reading, writing, place value: thousands, hundreds, tens, ones) 
• Understanding of place value as a quantity, not just a digit’s position (for eg: “5” in 5,000 means five thousand, not just “five”)
• Comparing whole numbers (greater than / less than / equal to)
• Rounding off numbers to the nearest 10, 100
• Skip counting (by 2s, 5s, 10s, 100s) 
• Basic addition (and subtraction) fluency, identifying “what’s being added each time”
• Basic awareness of length, familiarity with centimetre and metre
• Table-reading skills
• Real world exposure to travels
• Basic exposure to simple maps
• Real-world familiarity with the idea of “speed” (faster/slower)
• Multiplication and division word-problem skills (single-step), since some travel problems involve speed × time

Prerequisites Reinforcement

Pre-teach Vocabulary

measure, convert, journey, distance, speed, modes of travel, near, far, farther, digit, place-value, thousands, ten-thousands, greater than, less than, ascending order, descending order, pattern, sequence, round off, nearest, estimate

Learning Cards: Vocabulary with Picture Card

Pre-teach Critical Concepts

• Place Value of 4-Digit Numbers – Understanding that the same digit has a different value depending on its position (e.g., the “3” in 3,456 means 3000, not 3)
• Numbers get bigger by adding a new place. What is 9,999 + 1? Why does the number of digits change at exactly that point, and not one number earlier or later?”
• A number can be “near” one benchmark and “far” from another at the same time . If I’m standing at 46 on a number line, which is a shorter walk — back to 0 or forward to 100?
• A sequence has a hidden rule. How many numbers in a sequence do you need to look at before you’re sure of the rule? Is two enough?
• How do you decide whether a word problem needs addition, subtraction, multiplication or division, just from reading it?
• What is distance? Which is longer — the distance to your friend’s desk, or the distance to another city?
• Comparative Vocabulary: Near, Far, Farther. Point to two classroom objects and ask Which is nearer to me?
• Estimation means making a sensible guess. Ask students to estimate the length of the classroom, then explain their reasoning.
• Reading simple tables. Knowing how to locate information using rows and columns.
• Understanding that a map is a simplified representation of real places, with symbols, paths, and a start/end point.

Goals

Visual Cards: Large Numbers

Activity 1: Planning a Class Picnic

Content:
School wants to plan a one-day picnic. There are 4 possible places to visit. Students have to investigate, compare, and recommend the best place, then explain their reasoning to the class.

Materials required:

• A large map with 4 marked locations (zoo, beach, hill view park, museum) connected by simple route lines. You can use local destinations to make the activity more meaningful. Print or draw.
• Draw picture cards of the destination.
• A table with distance in km and metres for different destinations
• Yarn for route lines on the map 
• Large-print or hand written numeral cards for distances
• A measuring ribbon or thick chart paper cut as a strip marked in equal segments, used as a physical number line (1 segment = 10 km) Large Bindis can be used to mark the 10 km segments
• Unit Decision cards. Draw
• A Place-Value Chart — labelled with  TTh / Th / H / T / O
• Numeral cards and Expanded-form matching cards. These can be written on thick chart paper and cut into strips 

Group size – A mixed-ability group of 5

Session 1 –

Each group receives all of the above materials.

1. Before looking at any numbers, each student physically traces the route on the map with a finger, and makes an estimate using a measuring ribbon or scale
2. Students then consult the Distance Table and find the actual figure, reading row by row, column by column. The teacher models this first: “I put my finger on ‘Zoo’, I move across to ‘Distance’ — I never jump or guess the row.”
3. Groups compare their estimate to the actual distance and draw a happy / neutral / surprised face card next to it — “Was I close?”
4. First explain the rule clearly: “If you could walk it in a few minutes, think metres. If you need a vehicle, think kilometres.”
5. Read out distances from the table and add your own examples like distance from classroom to the school library, students show the appropriate icons – footprint icon (m) or car icon (km). 
6. Each group chooses their destination and traces their group’s chosen route on the tactile yarn line, narrating aloud the path — for example: “We start at school, go past the river, turn at the market, and reach the zoo.”

Session 2 –

7. Reading and writing the number: each group takes their destination’s distance in metres (e.g. the Museum’s 40,000 m) and writes it into a place-value chart (TTh / Th / H / T / O), then says it aloud using the number punctuation — “forty thousand.”
8. Expanded-form match: groups match their distance’s numeral card (e.g. 40,000) to its expanded-form card (4 × 10,000 + 0 × 1,000 + 0 × 100 + 0 × 10 + 0).
9. Using the metre values from the Distance Table, groups physically arrange all four destination cards from nearest to farthest (ascending order), then arrange in the descending order.
10. Word problem: “If the picnic bus travels 10 km and stops to refill once every 25 km, will it need to stop on the way to the museum (40 km away)?” Groups solve this by using the measuring ribbon.
11. Each group recommends one destination and justifies it using the sentence frame: “We choose ___ because the distance is ___ and travel will take ___.”

Printable resources:

1. A  large map – Draw on a chart paper. Use local locations. Each distance must be drawn to scale. 10 cm represents 10 km. So the zoo, which is at 8 km, must be drawn at 8 cm from the school and so on. Use different coloured yarn for the routes

2. Distance table – Print or write and place one copy per group. Places and distances used here are only samples— use real local places if possible. The Distance (m) column gives every group a large number to read, write, and match to its expanded form.

3. Unit decision cards  – Draw the following icons on thick cards. One for each group. Students show the appropriate card as the distances are read out.

4. Place value strip – Print  or write the place value strip for the students to write their destination’s distance in metres.

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5. Expanded form matching cards – Cut into separate cards. Shuffle the numeral cards and expanded-form cards together; groups have to find matching pairs.

6. The measuring ribbon –  A physical number line for estimating and solving travel word problems. Cut a thick chart paper into a 3cm x 45 cm strip. Place big brown/black bindis at every 10 cm. Each segment of 10 cm represents 10 km.

7. Estimate check face cards – Draw these faces on the board. After the group checks their estimate against the Distance Table, students draw the appropriate face that matches how close their guess was.

Video: Planning a Class Picnic

ISL Video: Planning a Class Picnic

Suggested Variation in Rules and Pace:

1. Adjusting the Pace (Session 1 and Session 2 Split)

• For fast-paced groups: If a group finishes the actual vs. estimate check quickly in Session 1, challenge them to calculate the difference between their estimate and the actual distance using their measuring ribbon (e.g., ‘We missed it by about 5 km’).
• For slower-paced groups: Break Session 1 into two mini-sessions. Spend the first part entirely on tracing, estimating, and reading the table. Save the unit decision game (m vs. km) for the start of the next day as a warm-up.

2. Gamifying the Unit Decision (Session 1)

• The speed round: Instead of just reading the table, turn it into a quick-fire game. The teacher shouts out random distances (e.g., ‘To the moon!’, ‘To the principal’s office!’, ‘To the next town!’) and teams get 10-15 seconds to hold up their 👣 or 🚗 card.
• The ‘switch’ rule: Allow students to take turns acting as the ‘Teacher’ within their group of 5, calling out items for their peers to guess.

3. Modifying the Word Problem (Session 2)

• Advanced variant: If a group solves the bus refuelling problem easily, add a twist: “The bus has to come back to school too. How many total times will it stop to refill on the whole round trip?”
• Simplified variant: Change the problem to simple 10 km intervals. “The bus stops every 10 km to check the tyres. How many times does it stop before reaching the Science Museum (40 km)?” This aligns perfectly with the 10 cm bindis on their ribbon.

Suggested Scaffolds for Assistance:

Mixed-ability groups of 5 work best when specific roles and physical aids support students who struggle with abstract math concepts.

1. Concrete and Visual Scaffolds

• Colour-coded place value: Match the colours of the place-value chart columns to the expanded form cards. For example, if the TTh (Ten Thousands) column is colored blue, make the 4 X 10,000 text on the card blue as well. This helps students with dyslexia or dyscalculia map the values visually.
• The ‘finger-guide’ ruler: For students who struggle to track rows and columns on the Distance Table, provide a cut-out cardboard ‘L-window’ or a simple tracking ruler to block out surrounding numbers and highlight exactly one row at a time.
• Block-counting for word problems: When solving the refuelling problem, give struggling students physical counters (like blocks or bottle caps) to place directly on top of the bindis on the measuring ribbon to physically mark each 25 km stop.

2. Strategic Group Roles (For the Group of 5)

Assign clear roles within the mixed-ability group so everyone contributes according to their strengths:

1. The navigator: Traces the yarn and describes the route landmarks. (Great for spatial/verbal learners).
2. The reader: Reads the data from the table row by row. (Great for confident readers).
3. The ribbon master: Handles the measuring ribbon and places the bindis/markers. (Great for kinesthetic learners).
4. The scribe: Writes the numbers into the Place Value chart. (Great for precise organisers).
5. The presenter: Speaks for the group during the final recommendation frame. (Builds confidence in social/verbal skills).

3. Verbal and Sentence Prompts

• For expanded form: If a student gets stuck matching 25,000 to 2 X 10,000 + 5 X 1,000…, prompt them by saying: “Hide the 5,000 with your hand. What is that 2 worth? Yes, twenty thousand. Which card starts with two ten-thousands?”
• For the final justification: Provide an extra word bank next to the sentence frame containing comparison words like closest, farthest, longest drive, shortest drive, easiest to help them finish the thought.

Activity 2: Concept Mastery Activity – Rounding

Instructions for the teacher: 

1. Begin the activity by asking students:
   “Rounding is a type of what bigger idea?” Guide students toward Estimation — the same word used in Activity 1 when students estimated a journey before measuring it. 
2. Take a real distance from the Distance Table of Activity 1. E.g. Hill View park  = 25,000 m. Ask the students to round it off to the nearest 10,000. What are the rules for rounding? Look at the digit to the right of the target place. If the digit is 5 or more, round up. If the digit is less than 5, round down. In 25,000, 5 is right to the target place (10,000). So 25,000 will become 30,000.  
3. Ask students to explain in their own words, why 20,000 is the wrong answer for rounding 25,000 to the nearest 10,000. What rule is it breaking? 
4. Draw a three-column table: Always, Sometimes, and Never.
5. Ask students what must be true every time we round a number. Build the list together — a number, a target place value, the next-digit rule, digits becoming zero.
6. Ask students what happens only some of the time we round the number — e.g. the rounded number staying the same as the original.
7. Ask what would mean someone is NOT rounding correctly — e.g. changing digits to the left of the target place.
8. Encourage all responses.

9. Ask students to combine the concept name,  and the always-present characteristics into one sentence.
10. Refine as a class until the definition is accurate and usable 
11. Give new distances from the Distance Table (River Beach, City Zoo, the classroom-to-gate distance) and have students apply the definition independently or in pairs.
    • Beach = 15,000m – round to the nearest 1000
    • Zoo = 8000m – round to the nearest 10,000
    • Classroom to gate = 120 m – round to the nearest 100          
12. Close by asking Is your rounded number always, sometimes, or never the same as the original? Why? — inviting students to reason about the sometimes-present characteristic in their own words.

Video: Rounding Numbers

ISL Video: Rounding Numbers

Suggested Variation in Rules and Pace:

1. Pacing the ‘Always, Sometimes, Never’ Table

• For fast finishers: Challenge them to add one more original thought to the ‘sometimes’ or ‘never’ columns. For example: “Sometimes, rounding a number causes a chain reaction that changes the digit two places to the left (e.g., rounding 9,600 to the nearest 1,000 becomes 10,000).”

2. The ‘Midpoint’ Debate Rule

• The number 25,000 sits exactly in the middle of 20,000 and 30,000.
• The ‘tug-of-war’ variation: To help students explain why 20,000 is wrong, introduce a mathematical convention rule: “Imagine 25,000 is standing on top of a peak. It could fall left to 20,000 or right to 30,000. Mathematicians across the world made a global rule—5 is a heavy number that always tips the scale forward.” Ask students to debate why a universal rule is necessary for scientists and bankers.

3. Adapting the Independent Practice Pace

• Tiered independent practice: Instead of making everyone do all three problems at once, assign them by comfort level:
  • Level 1 (Comfortable): Classroom to gate (120 m to nearest 100).
  • Level 2 (Challenging): Beach (15,000 m to nearest 1,000).
  • Level 3 (Brain-stretcher): Zoo (8,000 m to the nearest 10,000).
  • Note: Rounding 8,000 to the nearest 10,000 results in 10,000. This is tricky because there is an implicit ‘0’ in the Ten Thousands place (08,000). Let advanced pairs tackle this conceptual puzzle.

Suggested Scaffolds for Assistance:

1. Concrete and Visual Scaffolds

• The visual number line hill: Draw a hill on the board where 20,000 is at the bottom left, 30,000 is at the bottom right, and 25,000 is sitting right at the peak. This visual anchor makes it immediately clear why 25,000 rolls forward to 30,000.
• Highlighter strategy for target places: When students do independent work, have them use a highlighter on the target place value digit and underline the ‘bossy neighbour’ digit immediately to its right.
  Example for 120 to the nearest 100: 1 2 0

2. Sentence Frames for Class Discussion and Definition Building

When asking students to formulate definitions or justify why 20,000 is wrong, provide these structural sentence starters on the board:

• To explain the 25,000 rule break: > “20,000 is incorrect because the digit to the right of the target place is ___, which means we must round _______ (up/down).”
• For the closing reflection: > “A rounded number is sometimes the same as the original number only if the numbers to the right of the target place value end in ___.” (e.g., rounding 40,000 to the nearest 10,000 stays 40,000).

3. Peer-Assisted Learning Roles (Pair Work)

During the independent practice phase, pair a student who struggles with abstract math with a peer coach. Assign clear cooperative steps:

1. Partner A (The locator): Points to the target place value on the Place Value chart and reads it aloud.
2. Partner B (The decision maker): Looks at the neighbour digit to the right and says, ‘5 or more, soar high’ or ‘4 or less, let it rest.’
3. Both: Write down the final rounded number together and check it against their ‘always’ column rules.

Day to Day Relevance

1. Going to School 
Students learn how far their school is from home.
Example: “My school is 2 km away.”

2. Family Trips
While travelling, we see signboards showing distances.
Example: “Indore – 50 km”
This helps us know how far we still need to go.

3. Planning Travel Time
Knowing distance helps us guess how long a journey will take.
Short distance = less time
Long distance = more time

4. Using Maps
Maps show distances between places.
Students learn to read maps and understand routes.

5. Petrol/Diesel Usage
Longer distances need more fuel.
Helps families plan expenses.

6. Walking and Exercise 
Students can measure how far they walk or run daily.
Example: “I walked 1 km in the park.”

7. Sports
In races, distance matters.
Example: 100 m race, 200 m race
Why is it Important?

• Helps in planning journeys
• Improves understanding of measurement
• Useful in daily life and travel
• Builds problem-solving skills

Assessment

Worksheet: Practice Worksheet 1

Worksheet: Practice Worksheet 1 (Enlarged)

Audio Worksheet: Practice Worksheet 1

Worksheet: Practice Worksheet 2

Worksheet: Practice Worksheet 2 (Enlarged)

Audio Worksheet: Practice Worksheet 2

Worksheet: Practice Worksheet 3

Worksheet: Practice Worksheet 3 (Enlarged)

Audio Worksheet: Practice Worksheet 3

Worksheet: Assessment Worksheet 1

Worksheet: Assessment Worksheet 1 (Enlarged)

Audio Worksheet: Assessment Worksheet 1

Worksheet: Assessment Worksheet 2

Worksheet: Assessment Worksheet 2 (Enlarged)

Audio Worksheet: Assessment Worksheet 2

Worksheet: Assessment Worksheet 3

Worksheet: Assessment Worksheet 3 (Enlarged)

Audio Worksheet: Assessment Worksheet 3

Cross-Curricular Connection

1. Science
   • Vehicles and Motion: This topic helps students understand how vehicles move. It shows how driving at a certain speed covers a distance, and how much petrol or diesel a vehicle uses to travel far.
2. Social Studies and Geography
   • Reading Maps: Measuring the distance between two towns on a map directly teaches students how to read and understand maps in geography.
   • Travel Routes: This connects to lessons about transport. It helps students understand how roads, railway tracks, and flight paths connect different places.
   • Knowing India: Looking at train timetables and distance charts helps children learn about different regions, states, and how people stay connected across India.
3. Language and English
   • Story Reading: Solving math word problems about a journey helps children practice reading. It teaches them how to follow a story in order (what happened first, what happened next).
   • Writing Stories: Asking students to write a diary entry or a story about a trip they took helps them practice writing while using words related to time and distance.
4. Environmental Studies (EVS)
   • Transport and Pollution: Talking about travel helps teach children about smoke, pollution, and saving fuel. Teachers can explain why walking or cycling is good for short distances, while buses or trains are needed for long journeys.
5. Art and Craft
   • Drawing Maps: Children can draw a colorful map of an imaginary journey or make a “distance chart” poster. This mixes drawing skills with accurate math measurements.

For inclusive classroom support, the teacher can refer to the below Adaptations and Strategies:

Adaptations and Strategies: Attention and Focus

Adaptations and Strategies: Executive Functions

Adaptations and Strategies: Fine Motor Skills

Adaptations and Strategies: Number Sense

Adaptations and Strategies: Reading Skills

Adaptations and Strategies: Writing Skills

Adaptations and Strategies: Organisational Skills

Adaptations and Strategies: Receptive and Expressive Language Skills

Adaptations and Strategies: Visuospatial Skills

Adaptations and Strategies: Procedural Skills

Teacher Resource Document