Explain and Compare

Overview

This is the final lesson in the five-week unit Early Number Foundations. Students revisit counting, quantities to 5, number facts, before and after, and simple addition and subtraction through playful assessment stations, then collect and interpret class data.

Learning intentions

We are learning to:

• solve and explain simple addition and subtraction problems to 5
• represent a story with objects, drawings or an equation
• count and recognise quantities, including small quantities without counting
• collect, sort and communicate class data using more, fewer and the same

Success criteria

• I can identify what is happening in a story.
• I can model it with objects or a drawing.
• I can give an answer and explain how I know.
• I can sort and count responses and say which category has more, fewer or the same.

Curriculum links

• Te Mātaiaho Mathematics and Statistics, first six months: early number knowledge and additive thinking.
• Mathematical communication: representing, explaining and responding to mathematical ideas.
• Introductory statistical investigation: posing a class question, collecting, sorting, counting and comparing data.
• Purposeful contexts, reasoning and integration of mathematics and statistics in Year 1.

Lesson structure (60 minutes)

1. 0–7 min · Welcome and retrieval. Display the opening question and number warm-up and ask, “How can we show our thinking so someone else understands?” Briefly revisit counting to 5, quick quantity recognition, before/after and facts to 5 using fingers or counters. Students turn and talk, then show answers with fingers, actions or words.

2. 7–15 min · Model a story problem. Use a puppet and five counters to act: “There are 2 shells in the kete. We find 3 more. How many shells are there now?” Model joining with counters, a drawing and an equation, while using the worked joining story. Students identify what changed, predict the answer, and explain a representation to a partner.

3. 15–40 min · Playful assessment stations. Organise five groups of five and rotate approximately every five minutes, allowing a short transition. Use the five-station recording sheet for drawings, numerals or adult notes; accept oral, acted and home-language explanations.

• Count and recognise: count collections to 10 and show quantities to 5; include a quick “How many?” look-and-say task.
• Subitise and compose: show a small group of counters briefly, then ask students to make the same quantity or show two parts that make a number to 5.
• Before and after: place three number or quantity cards in order and ask what comes before or after a chosen number.
• Facts to 5: build and explain simple addition or subtraction facts with counters, fingers or a drawing.
• Word problem: solve one joining, separating or missing-part story within 5 using a story mat, counters or a drawing.

The teacher and support adults use the checklist to note accurate counting, quantity recognition, modelling, reasoning and communication. Prompt with “What is happening?”, “What did you do first?” and “How do you know?”

4. 40–48 min · Class data question. Show the movement-voting question and graph instructions and co-create a question that reflects the class community and local environment, such as “Which movement game would we like to play?” Offer inclusive choices and allow pointing, signing, speaking or home-language responses. Students vote once, then help sort responses into hoops or labelled spaces.

5. 48–55 min · Human graph and comparison. Build a physical graph together. Count each category, recording totals on chart paper. Ask, “Which has more? Which has fewer? Are any the same? How many altogether?” Students stand beside their category or point to it, compare groups and explain one observation using the words most, least, more, fewer or same.

6. 55–60 min · Celebrate and reflect. Revisit the reflection and celebration slide. Invite two students to share different ways to solve a problem or explain the graph. Students complete the final prompt on the reflection box by drawing or telling an adult: “I can show my thinking by…” Collect the sheet and briefly name the class learning.

Resources

• Teacher puppet or soft toy
• Counters, small collections and five hoops
• Story mats and picture/number cards
• the Early Number Foundations review and data deck
• the five-station recording sheet
• the number recognition flashcards
• Chart paper, markers and sticky notes
• Teacher observation checklist and pencils

Assessment

• During stations, record whether each child counts accurately, recognises quantities, identifies before/after, composes or decomposes to 5, models addition/subtraction, and communicates reasoning.
• Gather observations, worksheet evidence and brief conferences rather than relying on a single test. Note emerging, secure and next-step knowledge for numbers 0–10, subitising to 5, composing/decomposing to 5, before/after, facts to 5, word-problem modelling and data comparison.
• Use the graph discussion and reflection as an exit check. Form flexible support groups and plan the next teaching cycle from the evidence.

Differentiation

• Support with acted stories, reduced numbers, visual story cards, concrete materials, sentence frames such as “I started with…” and “I know because…”, repeated modelling and adult scribing.
• Accept drawing, gesture, pointing, signing, oral explanation or home-language responses before encouraging mathematical vocabulary in English.
• Provide a quiet station, predictable turn-taking and reduced visual or auditory load for students who need it; pair students thoughtfully rather than requiring public performance.
• Extend confident students with a missing-part or two-step story within 5, or ask them to solve a problem in two ways and justify which category would change if one vote moved.