Two-Digit Number Models

Overview

In this lesson, students learn to represent two-digit numbers using physical models (base-ten blocks) and drawings. They practise writing the number, showing tens and ones, and explaining their thinking using model language.

Learning intentions

• WALT represent two-digit numbers using base-ten blocks.
• WALT record two-digit numbers as drawings and number sentences (tens and ones).
• WALT match representations to the correct numeral.

Success criteria

• I can show a two-digit number using tens and ones blocks.
• I can draw a model that matches the blocks for my number.
• I can explain how many tens and ones are in my number.
• I can check that my model matches the numeral.

Curriculum links

• Number and place value: represent and partition two-digit numbers into tens and ones.
• Mathematical reasoning: choose and use representations to explain thinking.
• Numeracy fluency: read, write and model whole numbers up to at least 99 (as appropriate for Year 1/2).
• Language for mathematics: use tens/ones vocabulary to describe quantities.

Lesson structure (30 minutes)

1. 3 Warm-up: Quick tens and ones Show 3 numbered cards (e.g., 23, 45, 61). Students use fingers or mini tens/ones cards to show “tens” and “ones” quickly, then hold up the total numeral.

2. 7 Teacher model: Build and draw Choose one target number (e.g., 34).

• Teacher builds it with base-ten blocks: 3 tens and 4 ones.
• Teacher draws a quick representation: tens as tall rectangles and ones as small squares.
• Teacher models the explanation: “34 is 3 tens and 4 ones.” Ensure students notice the link between the blocks, the drawing, and the numeral.

3. 10 Guided practice: Stations with blocks Students rotate through 2 short stations (pairs, teacher circulates).

• Station A: “Build the numeral” — teacher calls a numeral; students build it and then write it.
• Station B: “Draw the model” — teacher gives a small diagram (or a built model photo) and students draw tens/ones and write the numeral. Teacher prompts: “How many tens?” “How many ones?” “How do you know?”

4. 5 Whole-class share: Explain your model Invite 4–6 students to show a model using blocks or a drawing. Class agrees using a simple checklist:

• tens count correct
• ones count correct
• drawing matches the blocks Teacher emphasises mathematical language and clear explanation.

5. 3 Exit check: Matching activity Students complete a quick worksheet/mini-card set (one number):

• Write the numeral
• Draw tens and ones (or circle the correct model)
• One sentence starter: “I made __ tens and __ ones.”

6. 1 Pack-up and tidy routines Students return blocks neatly and line up models for the next lesson.

Resources

• Base-ten blocks (tens rods and ones cubes/small squares) for each student or table group
• Number cards (two-digit numerals, mix of easier and more challenging numbers)
• Simple recording sheets: “tens” and “ones” drawing area plus numeral box
• Visual model examples (teacher-made drawing of tens/ones)
• Mini whiteboards and markers (optional for sharing reasoning)
• Teacher checklist for exit check
• Sentence starters for language support (e.g., “__ tens, __ ones”)

Assessment

• Formative: teacher observations during station work (tens/ones accuracy and correct model-to-numeral matching).
• Formative: whole-class share using the checklist to confirm misconceptions.
• Summative-informal: exit check drawing and brief explanation to verify understanding of tens and ones.

Differentiation

• Struggling learners: provide fewer target numbers (e.g., 10–29 or with a small ones digit). Use partially prepared templates where tens outlines are pre-drawn.
• Support with materials: allow extra time with blocks; encourage counting tens first, then ones; use “show me” questions rather than only asking for verbal answers.
• EALD: model sentence frames and encourage pointing to tens/ones in the representation. Use consistent vocabulary on displays (tens, ones, total).
• Extension for advanced learners: students create a short “number story” tied to their number (e.g., “I have 2 tens and 7 ones…”), then represent it with blocks and drawing and explain what each part means.

Extension (optional)

• Advanced learners can write a 2–3 sentence number story and swap with a partner to identify the tens and ones from the story, then check by building the number with blocks.