Learning Through Numbers

Date:

[Insert Date]

Grade Level(s):

Grade 1/2

Subject/Strand:

Mathematics – Number Sense and Numeration

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Lesson Title:

Introduction to Odd and Even Numbers

Unit of Study:

Number Patterns and Properties

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Lesson Overview:

This 20-minute lesson introduces Grade 1/2 students to the concept of odd and even numbers. Students will explore how numbers can be categorised as odd or even by using manipulatives and patterns to build a strong foundational understanding. The lesson is interactive and hands-on, ensuring engagement and curiosity.

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PART 1: PREPARING THE LESSON

Ontario Curriculum Overall Expectations:

• Solve problems involving addition and subtraction of whole numbers, up to 50 (Grade 1) and 100 (Grade 2).
• Demonstrate an understanding of numbers, beginning with 0, with an emphasis on developing number sense.

Ontario Curriculum Specific Expectations:

• Identify and describe number patterns on a number line (Grade 1).
• Determine and explain, through investigation, the multiples of 2 as “even numbers” and numbers not multiples of 2 as “odd numbers” (Grade 2).

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Big Idea/Enduring Understanding:

• Numbers can be grouped and categorised based on predictable patterns.
• Odd and even numbers play a fundamental role in understanding mathematics.

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Essential/Key Question(s):

• What makes a number odd or even?
• How can we group numbers to help us identify patterns?

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Student Learning Goal(s):

• Students will identify odd and even numbers up to 20 using a hands-on activity.
• Students will understand that even numbers are divisible into equal groups of 2, and odd numbers are not.

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Student Success Criteria:

• I can define odd and even numbers.
• I can use objects or drawings to group numbers and verify if they are odd or even.
• I can explain my thought process to a partner or the class.

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Learning Skills and Work Habits:

• Responsibility: Completing activities in a timely manner.
• Collaboration: Working with peers during discussions.
• Self-Regulation: Following instructions and staying on task independently.

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Necessary Prior Knowledge, Skills, and/or Previous Lesson:

• Counting forward and backward to 30.
• Basic grouping (e.g., placing items in groups of 2 or 5).
• Familiarity with using manipulatives during class activities.

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New Vocabulary:

• Even Number: A number that can be divided into two equal groups.
• Odd Number: A number that cannot be divided into two equal groups.

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Universal Design Considerations:

• Provide engaging visuals (e.g., a colourful number line with patterns).
• Utilise manipulatives to support hands-on learning (e.g., counters, blocks).
• Offer multiple ways of understanding the concepts (drawing, physical objects, oral explanations).

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Learning Environment Considerations:

• Arrange desks in pairs or small groups for collaboration.
• Provide every student with manipulatives (e.g., 20 small counters/blocks).
• Ensure the teacher can move around the room to offer support as needed.

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Resources:

• Number line (printed and hung on the board).
• Small counters/block sets (20 per student).
• "Odd and Even Numbers" anchor chart.
• Whiteboard and markers.
• Printable handout with simple group activity.

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ASSESSMENT

Assessment FOR Learning:

• Observe students during the activity to ensure they understand how to group items into twos and label numbers as odd/even.
• Listen to students' explanations when sharing answers to assess reasoning skills.

Assessment AS Learning:

• Use peer discussion to encourage self-reflection and learning from others.
• Prompt students to explain their process aloud ("How do you know this number is odd/even?").

Assessment OF Learning:

• Check final activity handouts for accurate grouping and correct identification of odd/even numbers.

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Assessment Tools:

• Observation checklist for participation and engagement.
• Teacher notes for oral responses.
• Quick marking of completed groupings on the handout.

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DIFFERENTIATED INSTRUCTION

LESSON Accommodations/Modifications:

• Content: Students struggling with numbers beyond 10 can be assigned smaller number sets (e.g., only numbers 1–10).
• Process: Offer guidance by grouping the first few examples with students.
• Product: Students may draw pictures of their groupings instead of physically using counters.
• Environment: Provide noise-cancelling headphones for students sensitive to noise during group work.

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ASSESSMENT Accommodations/Modifications:

• Content: Provide simplified instructions on their worksheet.
• Process: Allow extra time to complete the activity.
• Product: Accept verbal explanations in place of written answers for some students.

Student IEP Related Differentiation:

• Allow assistive technology (e.g., text-to-speech programs) to support instructions where required.

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PART 2: TEACHING THE LESSON (Lesson Design: 3-Part Lesson)

Total Length of Period: 20 minutes

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MINDS ON (Before): Estimated Time: 5 minutes

• Instructional Strategy: Begin by showing the number line on the board. Circle numbers 1 through 10 and ask: “What patterns do we notice here? Let’s group them in twos!” (Use student responses to lead the discussion).
• Guiding Question: “Which numbers look like they can ‘pair up’? What do we do if there’s one leftover?”
• Differentiation: Model grouping counters for a few numbers (e.g., 2, 3, 4, 5) for clarity.
• Assessment: Observe verbal answers and initial grouping attempts.

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ACTION (During): Estimated Time: 10 minutes

• Instructional Strategy: Distribute counters and printable handouts. Instructions: “Count out groups of 2, and circle any ‘leftovers’. Write whether the number is odd or even in the box provided.”
• Students will complete this activity in pairs.
• Differentiation: Encourage students who finish early to use higher numbers up to 20. Pair struggling students with a supportive peer.
• Assessment: Teacher circulates and observes students’ grouping, asking guiding questions like: “Why did you label this as odd?”

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CONSOLIDATION (After): Estimated Time: 5 minutes

• Instructional Strategy: Class discussion – Invite students to share one example of an odd number and one of an even number from their activity.
• Key Question: “Why do you think this pattern works for all numbers?"
• Summarise key points: Even numbers end in 0, 2, 4, 6, or 8; odd numbers end in 1, 3, 5, 7, or 9. Display “Odd and Even Numbers” anchor chart for visual reinforcement.
• Assessment: Monitor verbal explanations from students and their ability to link answers to the big idea.

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Lesson Extension:

• Challenge students to look for odd/even patterns in their environment (e.g., classroom objects, number of books on a shelf).
• Introduce skip counting by 2’s as an extension activity in the next lesson.

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PART 3: REFLECTING ON THE LESSON AND PLANNING FORWARD

• What worked well during the group activity? Were students able to think critically and categorise numbers independently?
• What challenges did the students face, and how can they be addressed in the next lesson?
• How can we deepen their understanding of number properties (e.g., through games like "Even & Odd Bingo")?

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Sources:

• CAST 3.0 UDL Guidelines
• Ontario Mathematics Curriculum (2020)