Part-Part-Whole Crates

Progression 1 (Years 1–2) Number | Composing and decomposing totals with zoo feed crates and seedling trays.

Duration: 60 mins Strand: Number Context: Fish/fruit crates; seedling trays (restoration plots) Representations: Part-part-whole diagrams, tens frames, number line

Learning Intentions & Success Criteria

Te Mātaiaho: quantify, order, compare small collections NZC L1–2: additive strategies within 20 Key idea: one whole, many parts

Ākonga are learning to:

Partition numbers in more than one way.
Record part-part-whole using diagrams and equations.
Choose efficient partitions to solve problems.

Success looks like:

I can show at least two partitions for a number to 20.
I can link my diagram to an equation (e.g., 12 = 7 + 5).
I can explain why a partition helps (e.g., to make 10).

Teacher prompts

“What is the whole? What are the parts?”
“Can you find a different split?”
“Which split helps you make 10?”

Kupu / Vocabulary

part / wāhanga
whole / katoa
split / wāwāhi
partition
equation
combine / whakakotahi

Materials

Crate/tray mats with circles for parts and whole.
Counters or animal/leaf tokens; tens frames.
A5 Handout: generator “Addition within 20” or “Make 10 / 20,” 20–24 Qs.

Lesson Flow

Hook (5 mins)

Show a crate of 12 fish for penguins; split into two bins. Ask for different splits.

Teach/Model (10–12 mins)

Model part-part-whole diagram for 10, 12, 14 with two partitions each.
Link to equations; highlight symmetric partitions (7+5 vs 5+7).
Connect to make-10: show 9+3 = 10+2 using a strategic partition.

Guided Practice (15 mins)

Station A: Crate mats—choose a total card, build two partitions, record equations.
Station B: Tens frame link—fill to total, then show two ways to break it.
Station C: Number line check—show how the partition helps you hop (e.g., make 10 first).

Independent/Extension (10–12 mins)

Create a “best partition” poster for a chosen number; explain why it is efficient.
Extension: three-part splits for 12 or 15.
Support: totals to 12; provide scaffolded diagrams.

Exit Check (5 mins)

Partition 11 and 14 two ways; write matching equations.

Place-based options

Hamilton Zoo feed prep: split fish/fruit into morning/afternoon.
Restoration plot: split seedlings into two rows; recombine to whole.

Representations: part-part-whole diagrams to connect concrete splits to symbolic equations; emphasize flexibility.

Differentiation & Support

Scaffolds

Start with totals 6–12 and use two colors for parts.
Provide partition cards showing one example split.
Use ten-frames to anchor partitions around 10.

Extensions

Find three-part splits for 15 or 18.
Show the same split on a number line and an equation.
Explain which partition is most efficient and why.

Common Misconceptions

Thinking parts must be equal. Remedy: model uneven splits.
Only naming one partition. Remedy: require two or more each time.
Missing the whole when recording equations. Remedy: label the whole first.

Assessment & Evidence

Check two different partitions per learner; note if they default to halves only.
Look for strategic partitions that make 10.

Whānau Connection

Send home a “split the snack” prompt: show two different splits for a small snack set.
Invite whānau to share ways they split resources (time, kai, equipment) for class stories.

Handout Link

Use the Progression 1 generator with “Addition within 20” or “Make 10 / 20,” 20–24 questions. Encourage drawing part-part-whole beside selected items.

Back to Number Sense Journey (Progression 1)