Number Sense Exploration

Grade

2

Duration

60 minutes

Curriculum Connection

This lesson aligns with the British Columbia Ministry of Education’s Mathematics curriculum for Grade 2, specifically focusing on the Number Sense and Numeration Big Idea. The lesson addresses the following competencies and learning standards:

• Big Idea: Numbers represent quantities and can be used in flexible ways.
• Content Focus: Number concepts and operations within 100.
• Curricular Competency: Demonstrate an understanding of the relationship between numbers using models such as number charts.
• Learning Standard: Use counting forwards and backwards by 1s, 2s, 5s, and 10s, starting at any number within 1 to 100.

Learning Objectives

By the end of this lesson, the student will be able to:

1. Identify and articulate “one more” and “one less” than any given number within 1-100 using a hundreds chart.
2. Skip count forwards and backwards by 1s, 2s, 5s, and 10s starting on any number between 1 and 100.
3. Demonstrate understanding of number patterns and directionality on the hundreds chart by physically manipulating a hands-on visual aid.
4. Use reasoning to predict and verify sequences on the hundreds chart, reinforcing mental computation.

Materials Needed

• Laminated hundreds chart (1-100) with movable transparent overlays or magnetic markers.
• Counter tokens or small objects (e.g., coins, buttons).
• Number cards 1 through 100.
• Whiteboard and marker.
• Skip counting activity mats (with spaces to place counters along skip counting paths).

Lesson Structure

Introduction (10 minutes)

1. Engage with a Story: Begin with a simple story involving “counting steps” on a journey. For example, “Imagine you are climbing a 100-step staircase. Each step is one number. Let’s find the step that’s one more or one less than where you are.”
2. Introduce the Hundreds Chart: Show the laminated hundreds chart and explain how it works. Highlight rows, columns, and the directionality (left-right, top-bottom).
3. Set the Stage: Explain the goal: to explore “one more, one less,” and skip counting forwards and backwards using the hundreds chart.

Guided Practice (20 minutes)

1. One More, One Less Exploration:

• Select a number card, place it on the hundreds chart.
• Ask: “What is one more than this number? Where is it on the chart?”
• Mark one more with a magnetic marker.
• Repeat for “one less.”
• Use different starting points around the chart, especially at edges (e.g., 1, 10, 11, 20) to emphasize directionality.
• Ask the student to predict then verify with the chart.

2. Skip Counting Exploration:

• Using a chosen starting number between 1 and 100, practise skip counting aloud by 1s, 2s, 5s, and 10s going forwards first:
• Student places counters on every number counted on the chart.
• Move markers forward for each skip count.
• Reverse the sequence and skip count backwards:
• Student removes counters or moves markers backward.
• Encourage verbalisation of the pattern (“2, 4, 6, 8…”), emphasising the direction on the chart.

Hands-On Exploration (15 minutes)

• Interactive Skip Counting Race:
• Create a mini ‘skip count race’ game on the table using the hundreds chart.
• Use tokens and have the student "jump" tokens along the chart according to skip counting rules (e.g., jump 5 spaces forwards or backwards).
• Change starting positions randomly and ask the student to predict the next numbers.
• Number Pattern Creation:
• Let the student create their own skip counting paths on the chart using counters.
• Ask them to explain the pattern and how direction affects the count.

Assessment and Reflection (10 minutes)

1. Formative Assessment Questions:

• “If we start at 37, what is one more? What number is one less?”
• “Show me the numbers when skip counting by 5 starting at 12 going forward.”
• “Now, can you skip count backwards by 2 starting at 40?”

2. Student Explanation:

• Ask the student to explain why the numbers move the way they do on the chart.
• Encourage the student to verbalise how skip counting changes the position on the hundreds chart and how direction matters.

3. Teacher Observation:

• Note the student’s ability to use the chart as a model.
• Observe confidence and fluency with skip counting sequences and one more/one less reasoning.

Consolidation and Wrap Up (5 minutes)

• Recap the importance of understanding number order and patterns using the hundreds chart.
• Praise the student for using reasoning and hands-on strategies.
• Extend learning by suggesting that the student try at home to spot patterns in numbers around them (house numbers, calendar dates).

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Teaching Tips for Hands-On Learning

• Keep materials tactile: moving counters and markers help kinesthetic learners internalize abstract concepts.
• Use positive reinforcement and encourage “thinking aloud” during the activity to develop mathematical vocabulary.
• Adapt difficulty by increasing or decreasing the number of skip counting steps.
• Challenge the student by asking them to predict numbers before checking the chart to boost mental math skills.

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This lesson plan integrates purposeful concrete manipulation with the hundreds chart to deepen number sense through directionality, one more, one less, and skip counting. It aligns fully with British Columbia’s Grade 2 Mathematics standards and supports a single hands-on learner to explore number patterns confidently.