This set of worksheets helps students understand and apply the properties of odd and even numbers through patterns in addition, subtraction and multiplication. The activities encourage reasoning and explanation to reinforce foundational mathematical concepts while providing opportunities for problem-solving and critical thinking.

How to Complete

1. Section 1: Students solve calculations and identify whether the results are odd or even.
2. Section 2: Students complete statements about odd and even patterns using rules for addition, subtraction and multiplication.
3. Section 3: Without solving, students predict whether the answers to problems will be odd or even based on the operation and numbers involved.
4. Section 4: Students explain why certain rules about odd and even numbers always hold true, providing examples to demonstrate their understanding.
5. Section 5: Students review solved problems, tick correct answers, cross incorrect ones and provide explanations for their choices.
6. Section 6: Each worksheet concludes with a thought-provoking question that requires students to explain and justify an odd/even rule with an example.

Additional Tips

1. Use counters or visual aids (e.g., number lines) to help students understand patterns, especially with multiplication and subtraction.
2. Highlight the importance of reasoning in mathematics to build deeper conceptual understanding.

Extension Ideas

1. Odd & Even Flowcharts: Ask students to create a flowchart to decide if a number is odd or even and predict outcomes of operations.
2. Real-World Applications: Pose real-life problems, such as sharing items or grouping objects, that use odd and even concepts.
3. Exploration of Larger Numbers: Extend the patterns to include 3- or 4-digit numbers and challenge students to explain their findings.