Number Stories

Overview

In this first lesson of the “Mastering Number Fluency” unit, students explore addition using concrete materials and simple visual representations. They learn that addition finds a total, called the sum, and they practise adding single-digit numbers.

Learning intentions

• Students will be able to represent addition situations using manipulatives and drawings.
• Students will add two single-digit numbers and describe the total.
• Students will use the term sum to refer to the answer in an addition problem.
• Students will explain their thinking using “I have…/I add…/Now I have…”.

Success criteria

• I can show an addition problem using counters or cubes.
• I can count on from the first number to find the sum.
• I can write or say the equation for my number story.
• I can explain what the sum means in my own words.

Curriculum links

• Number and Algebra: Number and place value (counting, representing quantities, and using number properties to solve problems).
• Number and Algebra: Using addition and subtraction to solve problems involving small whole numbers.
• Numeracy general capability: using mathematical language, efficient counting strategies, and clear explanations.
• Mathematical reasoning (processes): making sense of problems and communicating solutions.

Lesson structure (45 minutes)

1. 0–5 min: Warm-up count

• Use a quick “number of the day” routine (e.g., show 7 on a card). Students do a class countdown or count-aloud sequence to 10.
• Briefly recap that we count quantities to find “how many”.

2. 5–12 min: Teacher modelling—what addition means

• Tell a simple number story: “I have 3 apples and I get 2 more. How many apples altogether?”
• Build with counters in two stages (3, then add 2). Ask: “What do we call the answer—what is the total called?” Introduce sum.

3. 12–20 min: Explore with manipulatives (guided)

• In pairs, students complete 3 teacher-provided addition cards using counters or base-ten blocks for support.
• Each card involves totals within 0–10 (e.g., 4+1, 6+2, 3+3). Students record a picture and the sentence (e.g., 6 + 2 = 8) on a mini whiteboard or worksheet.

4. 20–28 min: Count-on strategy focus

• Bring the class together. Demonstrate “counting on” from the first addend using a number line or on-floor number strip 0–10.
• Example: “Start at 5, jump 2 more. Where do we land? That landing spot is the sum.”

5. 28–36 min: Independent practice (short, targeted)

• Students choose or complete 6 addition problems (two formats mixed):
• “Circle the groups” (visual arrays of objects) and write the equation.
• “Draw it” prompts where they draw counters and write the sum.
• Encourage every student to show thinking (drawing, counters, or number line), not only the final answer.

6. 36–42 min: Share and reasoning

• Select 3–4 students to share a solution using the sentence frame: “I started with…, I added…, so the sum is…”.
• Prompt class discussion: “Did anyone count on differently? What helped you?”

7. 42–45 min: Exit ticket

• Students complete one quick addition (within 0–10) and underline the word sum in a sentence: “The sum of __ and __ is __.”
• Collect for next-lesson grouping.

Resources

• Counters, connecting cubes, or linking cubes
• Base-ten blocks (optional for some students)
• Number line/number strip from 0 to 10 (wall display or floor strip)
• Mini whiteboards, markers, and cloths
• Addition story cards (totals within 0–10)
• Student worksheets or recording sheets (draw + equation)
• Sentence frames displayed: “I have…, I add…, now I have…”
• Exit ticket slips
• Timer and visual schedule

Assessment

• Observation during guided pair work: correct counting, ability to represent addition, and correct use of “sum”.
• Marking/reading exit tickets: accuracy of sums within single-digit totals and representation of the equation.
• Listening during share time: clarity of reasoning and use of mathematical language.

Differentiation

• Support:
• Provide extra counters and a 0–10 number strip at desks.
• Use three-step prompts (Start, Add, Total) and keep numbers smaller (e.g., sums up to 9) for early finishers needing scaffolding.
• Extension:
• Offer problems that still stay within single digits but include less-obvious starts (e.g., 2 + 7) and ask students to show two strategies (counters and count-on).
• EAL learners:
• Use consistent sentence frames and visuals (apples/blocks).
• Encourage pointing and modelling with manipulatives before writing equations.
• SEN (learning/working memory):
• Reduce to fewer practice problems while ensuring each has a concrete representation.
• Provide step-by-step check questions: “What do you have first? What is added? What is the total?”