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Key Point: Total bricks in a rectangle: total = rows × columns. (E.g., 4 rows and 6 columns → 4 × 6 = 24.)
Building with bricks introduces children to how objects are arranged in rows and columns, how we count objects efficiently and how simple multiplication and addition describe real structures. Bricks (or blocks) arranged together make walls, pavements and toy models. By looking at these arrangements we learn to see patterns, use repeated addition, form arrays (rows × columns) and understand the idea of area in terms of number of bricks.
In class 4, the focus is on: recognising equal groups, reading and making simple rectangular arrays, using repeated addition and multiplication to find total bricks, and understanding how shapes can be split into smaller rectangular parts to count bricks easily. We also begin to notice edges and boundaries (perimeter) and how many bricks are needed around a shape.
Key ideas you will use:
Key Point: Total bricks = number of rows × number of bricks in each row (Total = r × c)
What it is: Counting Bricks means finding how many small blocks or bricks are in a regular arrangement by looking at rows and columns. When bricks are arranged in equal rows, we can count faster using multiplication instead of counting one by one.
How to do it (step-by-step):
Key ideas:
Tips for children: Point to each row and count aloud, or count one full row and multiply. Colour each row with a different colour to avoid losing place. Use physical bricks or paper squares to make the array and count.
Key Point: Total items = rows × columns (if there are m rows and n columns, total = m × n).
An array is a neat arrangement of objects in equal rows and equal columns. In Class 4, arrays are usually made with bricks, counters, tiles or dots to show how objects can be grouped to count faster. When objects are placed in rows and columns we get a rectangular arrangement. Arrays help us see multiplication as repeated addition and understand factors of a number.
Key ideas:
How to make and use arrays with bricks (step-by-step):
Key Point: If a number a is added n times: a + a + ... (n times) = n × a
What is Repeated Addition?
Repeated addition means adding the same number again and again. It is a simple way to find the total of equal groups. In Class 4, we learn that repeated addition is the same idea as multiplication: when a number 'a' is added 'n' times, the sum equals n × a.
How to understand it with bricks (building with bricks):
Key ideas to remember
Key Point: a × b = total (a groups of b)
What is multiplication?
Multiplication is a quick way to add equal groups. Instead of adding the same number many times, we use a multiplication sentence. For example, 3 + 3 + 3 + 3 can be written as 4 × 3 (four groups of three) or 3 × 4 (three groups of four).
How to read a multiplication sentence: In a × b, the first number (a) tells how many groups and the second number (b) tells how many items are in each group. a × b gives the total number of items.
Using bricks (arrays): If you make rows and columns of bricks, each row has the same number of bricks. For example, 3 rows of 4 bricks form an array. Count the bricks by rows or by columns to get the total: 3 × 4 = 12.
Key ideas taught at Class 4 level:
Why learn this? Multiplication helps solve problems faster—counting objects, grouping items, finding area of rectangles, and working with money, time, and measurements.
Key Point: a × b = b × a (commutative property)
What it means
The commutative property of multiplication says that when you multiply two whole numbers, changing their order does not change the product. In symbols: a × b = b × a. This is easy to see when we build with bricks: 3 rows of 4 bricks give the same total as 4 rows of 3 bricks.
Why it works (using bricks)
Think of multiplication as arranging equal objects in rows and columns. 3 × 4 means 3 rows with 4 bricks in each row (3 rows of 4). 4 × 3 means 4 rows with 3 bricks in each row. If you count the bricks in each arrangement you get the same total, because the same groups of bricks exist — only the way we organize them (rows vs columns) is swapped.
Relation to repeated addition
Multiplication is repeated addition: a × b is adding the number a exactly b times (or adding b exactly a times). For example, 3 × 4 = 3 + 3 + 3 + 3 = 12 and 4 × 3 = 4 + 4 + 4 = 12. Both give the same sum, showing commutativity.
Where it applies and a note
The commutative property holds for multiplication of whole numbers (and many other number sets). It does NOT hold for subtraction or division: generally a - b ≠ b - a and a ÷ b ≠ b ÷ a.
Key Point: Total in an array: Total = rows × columns
What are missing numbers? Missing numbers are unknown values in a pattern, sequence, table or picture that we must find using the given information. In 'Building with Bricks' these usually appear as empty boxes in rows and columns (arrays) or as gaps in number patterns made by adding or grouping bricks.
How to approach such problems
Key ideas in this chapter
Worked method (short) 1) Identify whether the picture is an array or a sequence. 2) If array: multiply rows × columns or subtract known bricks from total. 3) If sequence: find common difference and fill the gap. 4) Verify your answer.
Key Point: Total bricks in an array = number of rows × number of bricks in each row (Total = rows × columns).
What are word problems? Word problems are short stories in which numbers and operations (add, subtract, multiply, divide) are used to find an answer. In the context of the chapter "Building with Bricks," word problems show how we use counting, repeated addition and multiplication to solve everyday questions about bricks, walls, floors and stacks.
Steps to solve word problems
How the idea of bricks helps: Bricks often form rows and columns. If you know the number of rows and the number of bricks in each row, multiplication gives the total quickly (repeated addition). If bricks are shared equally among builders or boxes, use division. If bricks are added or removed, use addition or subtraction. Some problems add a money step (cost = number × price).
Example method (visual thinking): Make a small drawing (array) with rows and columns of bricks. Counting by rows or columns or using groups of equal size helps you see whether to add or multiply.
Key Point: Perimeter of a rectangle = 2 × (length + breadth)
What are patterns? A pattern is something that repeats or grows in a regular way. In building with bricks we often see repeating rows, colours or shapes. Patterns can be repeating (ABAB...), growing (1, 2, 3, …) or symmetrical (mirrored on a line).
Shapes used in brick-building — Bricks and tiles show us simple shapes: rectangles (most bricks), squares (tiles or small bricks), triangles (roof shapes or cut pieces), circles (decorative pieces). When these shapes are put together, they make designs.
Designs and tessellation — A tessellation is a pattern made by repeating a shape without gaps or overlaps. Bricks often make tessellations (rows of rectangles) and other designs when arranged in different ways (stretcher bond, herringbone, checkerboard).
How to study a pattern
Counting and arranging bricks — Use rows and columns like a grid. If each row has the same number of bricks, multiply rows × bricks per row to count total. If rows grow by a fixed number, you have a simple number pattern to extend.
Symmetry and designs — Many designs have a line of symmetry (mirror) or rotational symmetry. A symmetrical design looks the same on both sides of the line.
Simple measuring ideas — Bricks form rectangles and squares. You can measure the edge length and use simple formulas (perimeter, area) to solve practical problems like how many tiles cover a floor or how long the border is.
Learning tips for Class 4
Key Point: Total bricks = (number of rows) × (bricks in each row)
What this topic is about
In "Building with Bricks" we use bricks (or tiles/blocks) to understand counting, grouping, repeated addition and simple multiplication. The idea is to see how arranging equal rows and columns makes it easier to count many objects quickly.
Key strategies
Tips for students
Visual methods
How these help in real life
Builders, tilers, gardeners and shopkeepers often arrange items in rows and stacks. Using these strategies lets them count materials fast and avoid mistakes.