Sharing with Skip Counting

Overview

In this lesson (6 of 10), students learn skip counting as a strategy for finding quotients in simple division situations. They will use real sharing contexts, such as dividing snacks among friends, and practise with cooperative learning.

Learning intentions

• Students will use skip counting by a given number to find how many groups (quotients) in a sharing problem.
• Students will connect equal sharing with repeated counting by the group size.
• Students will explain their thinking using words, pictures, and number sentences.
• Students will check reasonableness of their quotient by matching it to the situation.

Success criteria

• I can skip count (for example, 3s or 5s) to help me find the quotient.
• I can model equal sharing with counters and group the same number in each group.
• I can write a division equation that matches the story and my model.
• I can justify why my quotient makes sense in the context.

Curriculum links

• Numbers and operations: multiplication and division concepts through equal groups and sharing.
• Use of arrays, equal groups, and repeated addition/multiplication as division supports.
• Mathematical reasoning: explain and justify strategies and communicate solutions clearly.
• Problem solving: choose and apply an efficient strategy for a division situation.

Lesson structure (60 minutes)

1. 0–5 Warm-up: skip counting chant Teacher leads a quick whole-class chant (e.g., skip count by 2, 3, or 4). Students show the jumps with hand motions and call out the next three numbers.

2. 5–12 Launch with a snack scenario Show a problem: “12 cookies are shared equally among friends. Each friend gets 3 cookies. How many friends?”

• Ask: “What does ‘each friend gets 3’ mean?”
• Guide students to identify the group size (3) and the total (12).

3. 12–22 Concrete to semi-concrete modelling (counters) In pairs, students use paper plates or drawn circles to represent friends. They place 3 counters on each circle until all 12 are used. Teacher prompts: “How many circles did you fill?” and “What counts are you doing each time—are you adding 3 each round?”

4. 22–30 Skip counting strategy (from the model) Students convert their model into a skip-counting sequence.

• For 12 shared into groups of 3, they record: 3, 6, 9, 12.
• Ask: “What number in the skip count tells you you’ve used all the cookies?” (12)
• Then: “How many jumps did you make?” (4 jumps → 4 friends → quotient).

5. 30–40 Cooperative practice: “Think–Share–Solve” stations Set up 3 short stations (quick rotations) with similar structures. Each has a story and blank space for: counters/diagram, skip-counting list, division equation. Example station cards (choose 2–3 based on time):

• 15 stickers shared equally, 3 per friend
• 18 grapes shared equally, 6 per lunchbox
• 16 pencils shared equally, 4 per bag Students work in groups of 3, taking roles: Reader, Modeler, Recorder.

6. 40–50 Whole-class debrief and strategy comparison Each group shares one solution. Teacher records two examples on the board: one model-based and one skip-counting-based. Emphasize the link: skip counting by the group size helps determine the number of groups.

7. 50–60 Exit ticket: apply and justify Independent work: “14 marbles are shared equally. Each player gets 2 marbles. How many players?” Students write:

• A simple model or drawing
• A skip-counting sequence (2s) that reaches 14
• The division sentence (with correct quotient)
• One sentence: “I know it is right because…”

Resources

• Paper plates, cups, or drawn circles for “friends/boxes”
• Counting counters or small manipulatives (enough for class sets)
• Story problem cards for stations
• Mini whiteboards or scrap paper for recording skip counts
• Number line or chart paper (multiples of common group sizes)
• Division equation sentence frames (e.g., __ ÷ __ = __) on handouts
• Exit ticket slips and pencils
• Timer for station rotations

Assessment

• Teacher observation during pairs/stations: correct grouping, correct skip counting steps, and clear explanation.
• Check students’ recorded skip-counting sequences and division equations for accuracy.
• Review exit tickets for understanding of the quotient in context and reasonable justification.

Differentiation

• Support: Provide a partially completed skip-counting list (e.g., start at the first jump) and sentence frames for explanations.
• Support: Offer visual grouping aids (pre-drawn circles/arrays) so students can “count groups” while also writing the skip count.
• Extension: Include a task where students choose the best strategy (counters vs skip counting) and explain why; or use a slightly larger number (e.g., 24 shared by 4).
• EAL/SEN and SEN: Use consistent language (“group size”, “shared equally”, “how many groups”) and allow pictorial responses; pair students strategically with clear roles.