Ganita Prakash, period by period — fitted to your timetable.
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What Floor Are You On? Meeting Negative Numbers
Bela's Building of Fun · Inductive
The Building of Fun diagram is the primary scaffold — spend time ensuring every student can match a floor name to its integer label before moving to expressions. A common early error is writing the movement without a sign (writing 3 instead of +3 or –3); prompt students to always include the direction sign. Example (Addition to keep track of movement), p.245 is the anchor worked example for the rule; students who want a second reading may revisit it independently.
0–8Introduce Bela's Building of Fun using Activity 1, p.243 ("Students identify floors and their numbers in Bela's Building of Fun...."). Draw the building on the board — Ground Floor as 0, floors above as positive, floors below as negative. Ask students to name the floor of the Toy Store, Cinema, Food Court, and Ice Cream shop, reading labels from the diagram.
8–20Walk through Example (Addition to keep track of movement), p.245 ("Starting from Food Court (Floor +1), pressing +2...."). Introduce the rule Starting Floor + Movement = Target Floor. Students copy the building sketch and annotate each floor's number, then predict: 'If you are on Floor –2 and press +4, where do you arrive?' — confirming by counting up the diagram.
20–32Students attempt Figure it Out Q1, section 10.1 p.245 ("Start from Floor +2 and press –3. Where do you reach?...."). Pairs share answers aloud and write the corresponding addition expression. Draw attention to the sign of the result and ask: 'What does a negative floor number mean in the building?'
32–40Class discussion: invite students to state, in their own words, what a positive floor number and a negative floor number each mean. Record two or three student formulations on the board as a reference definition for the integer naming convention established in this unit.
Figure it Out Q1, section 10.1 p.245 — Start from Floor +2 and press –3. Where do you reach? Write an expression.
In Bela's Building of Fun, the ground floor is Floor 0. The Video Games arcade is on Floor –2 and the Art Centre is on Floor +2. Which of the following correctly describes the relationship between these two floors?
- A Floor +2 is lower than Floor –2 because positive numbers are always smaller than negative numbers.
- B Floor –2 and Floor +2 are on the same level because they have the same absolute value.
- C Floor –2 is above Floor 0 because negative numbers are on the upper side of the building.
- D Floor –2 is below Floor 0, and Floor +2 is above Floor 0, so Floor –2 is lower than Floor +2.
D. Floor –2 is below Floor 0, and Floor +2 is above Floor 0, so Floor –2 is lower than Floor +2.
What each wrong option reveals
- A The student has inverted the positive/negative ordering entirely.
- B The student confuses absolute value with value, thinking equal absolute values means equal integers.
- C The student has reversed the sign convention, believing negative numbers correspond to upper floors.
Also saved as 10 periods or 13 periods.
- 2Combining Button Presses and the Back-to-Zero Idea
Bela's Building of Fun - 3Ordering Integers: Which Floor Is Lower?
Bela's Building of Fun - 4Subtraction as Finding the Movement Needed
Bela's Building of Fun - 5Larger Integers: Mine Shafts and the Infinite Lift
Bela's Building of Fun - 6The Number Line and Converting Subtraction to Addition
Bela's Building of Fun - 7Tokens in Your Pocket: Adding Integers Concretely
The Token Model - 8Token Subtraction: Borrowing Zero Pairs
The Token Model - 9Bank Balances and Below-Sea Heights: Real Integers
Integers in Other Places - 10Sub-Zero Temperatures: Integers in Climate Data
Integers in Other Places - 11Hollow Integer Grids: Filling Borders to a Target Sum
Explorations with Integers - 12The Amazing Grid: Discovering an Invariant Sum
Explorations with Integers - 13Integer Consolidation: Sequences, Cards, and Sign Reasoning
Explorations with Integers - 14History Through Integers and the Token String Puzzle
Explorations with Integers - 15Brahmagupta's Rules: Ancient Arithmetic Meets the Number Line
A Pinch of History - 16Integers at Work: Four Problems, Four Methods
Synthesis
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