Grade 1
  1. Numbers and Counting  1.1. Counting to 10  1.2. Counting to 20  1.3. Counting to 50  1.4. Counting to 100  1.5. Writing Numbers 1 to 10  1.6. Writing Numbers 1 to 20  1.7. Writing Numbers 1 to 50  1.8. Writing Numbers 1 to 100  1.9. Reading Numbers 1 to 10  1.10. Reading Numbers 1 to 20  1.11. Reading Numbers 1 to 50  1.12. Reading Numbers 1 to 100  1.13. Comparing Numbers  1.14. Ordering Numbers  1.15. Odd and Even Numbers  1.16. Number Patterns  1.17. Skip Counting by 2s, 5s, and 10s  1.18. Understanding Zero
  2. Basic Addition and Subtraction  2.1. Understanding Addition  2.2. Addition Facts within 10  2.3. Addition Facts within 20  2.4. Adding Zero  2.5. Adding One More  2.6. Adding Two More  2.7. Adding Three More  2.8. Adding Using Pictures  2.9. Addition Word Problems  2.10. Understanding Subtraction  2.11. Subtraction Facts within 10  2.12. Subtraction Facts within 20  2.13. Subtracting Zero  2.14. Subtracting One  2.15. Subtracting Two  2.16. Subtraction Using Pictures  2.17. Subtraction Word Problems  2.18. Introduction to Doubles Facts  2.19. Introduction to Making 10
  3. Place Value and Number Sense  3.1. Understanding Tens and Ones  3.2. Counting by Tens  3.3. Place Value within 20  3.4. Place Value within 50  3.5. Place Value within 100  3.6. Reading and Writing Two-Digit Numbers  3.7. Comparing Two-Digit Numbers  3.8. Decomposing Numbers
  4. Measurement  4.1. Length  4.1.1. Comparing Lengths  4.1.2. Measuring with Non-Standard Units  4.1.3. Using Standard Units (Inches and Centimeters) in Length  4.2. Weight  4.2.1. Comparing Weights  4.2.2. Heavy and Light Objects  4.2.3. Introduction to Grams and Pounds  4.3. Capacity  4.3.1. Comparing Capacity  4.3.2. Full and Empty  4.3.3. Introduction to Liters and Milliliters  4.4. Time  4.4.1. Telling Time to the Hour  4.4.2. Telling Time to the Half Hour  4.4.3. Days of the Week  4.4.4. Months of the Year  4.4.5. Understanding Yesterday, Today, and Tomorrow  4.5. Money  4.5.1. Recognizing Coins  4.5.2. Counting Coins  4.5.3. Introduction to Dollar and Cents Symbols  4.5.4. Simple Addition and Subtraction with Money
  5. Geometry  5.1. 2D Shapes  5.1.1. Recognizing 2D Shapes  5.1.2. Drawing 2D Shapes  5.1.3. Naming 2D Shapes  5.1.4. Properties of 2D Shapes  5.1.5. Sorting 2D Shapes  5.1.6. Composing Simple Shapes  5.2. 3D Shapes  5.2.1. Recognizing 3D Shapes  5.2.2. Naming 3D Shapes  5.2.3. Properties of 3D Shapes  5.2.4. Sorting 3D Shapes  5.3. Position and Direction  5.3.1. Left and Right  5.3.2. Above and Below  5.3.3. Inside and Outside  5.3.4. Near and Far  5.3.5. In Front and Behind
  6. Patterns and Sorting  6.1. Recognizing Patterns  6.2. Extending Patterns  6.3. Creating Patterns  6.4. Sorting by Color  6.5. Sorting by Shape  6.6. Sorting by Size
  7. Data and Graphing  7.1. Introduction to Data  7.2. Collecting Data  7.3. Tally Marks  7.4. Bar Graphs  7.5. Picture Graphs  7.6. Interpreting Simple Graphs
  8. Fractions  8.1. Understanding Halves  8.2. Understanding Fourths  8.3. Dividing Shapes into Equal Parts  8.4. Identifying Equal and Unequal Parts

Grade 1 → Patterns and Sorting ↓


Extending Patterns


What are the patterns?

Patterns are repeating sequences that follow a certain rule or set of rules. Patterns can be found everywhere around us - in nature, music, art, and especially in math. Recognizing patterns is an important skill that helps children understand and predict the world around them.

In Class 1, students learn to identify, describe, and extend simple patterns with different objects, numbers, or shapes. These activities help children develop their logical thinking and problem-solving skills.

Types of patterns

Patterns can be made of numbers, shapes, colors, or objects. Here are some common types of patterns:

  • Repeating patterns: These are the simplest types of patterns, and they follow a repeating sequence. For example, red, blue, red, blue.
  • Ascending patterns: These patterns increase or decrease continuously. For example, 2, 4, 6, 8.
  • Number patterns: These are patterns that involve a specific sequence of numbers, often following mathematical operations such as addition or subtraction. For example, adding 3 each time: 1, 4, 7, 10.

How to expand a pattern

Extending a pattern means continuing it by determining the next parts of the sequence based on the rule you have identified. Let's learn how to extend different types of patterns with examples.

1. Expansion of repeating patterns

To continue a repeating pattern, first identify the repeating part of the pattern. This part is often called the "core" of the pattern. Once you know this core, you can add to it over and over again to continue the pattern.

Example:

Consider the pattern: red, blue, red, blue.

The basic one is "red, blue." To extend the pattern, keep adding "red, blue" to the sequence.

red blue red blue red blue red blue red blue

2. Expansion of the growing pattern

In an increasing pattern, the core includes a rule that changes the sequence each time. To extend the pattern, apply the rule to the last element to find the next element.

Example:

Consider the pattern: 2, 4, 6, 8.

Add 2 to the last number

Add 2 to the last number in the pattern (8) to find the next number, which gives 10. The expanded pattern is 2, 4, 6, 8, 10.

3. Expansion of number patterns

Number patterns often follow a specific operation such as addition, subtraction, multiplication or division. The challenge is to identify the operation applied to generate the sequence.

Example:

Consider the number pattern: 3, 6, 9, 12.

Adding 3 to the last number

Add 3 to the last number 12 to get the next number 15. The expanded pattern is 3, 6, 9, 12, 15.

More examples

Size

Patterns are not just made up of colors or numbers. They can also be made up of shapes. The same principles are used to expand shape patterns.

Example:

Its core is a blue square followed by a yellow circle.

Extend the original sequence by repeating it.

More complex patterns

As children get better at recognizing patterns, they can begin to tackle more complex patterns that involve multiple rules.

Example:

Consider the pattern: 1, 2, 4, 7, 11.

The rule here is to add numbers in increasing order: add 1, 2, 3, 4, etc.

1 + 1 = 2, 2 + 2 = 4, 4 + 3 = 7, 7 + 4 = 11

Next number: 11 + 5 = 16

The extended pattern is 1, 2, 4, 7, 11, 16.

Importance of patterns in mathematics

Understanding and extending patterns provides foundational skills that support higher-level math concepts as children grow. These skills encourage logical thinking, provide the basis for algebraic thinking, and improve problem-solving abilities.

By practicing expanding different patterns, students can strengthen their ability to recognize relationships between numbers and shapes, laying the foundation for more complex mathematical learning in the future.

Practice activities

Students can engage with patterns through a variety of activities. Here are some ideas for practicing extending patterns:

  • Create patterns using coloured blocks or beads. Ask students to fill in missing pieces or continue the sequence.
  • Use number lines to visualise number patterns and understand the operations involved.
  • Incorporate music or tunes where children can clap or use instruments to create and repeat rhythm patterns.

Constant practice with such engaging activities strengthens students' pattern recognition and elaboration skills.


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Recognizing Patterns
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Extending Patterns

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