Ten-frame to ten — and matching representations

Skills targeted

Objectives

Students can represent quantities 6-10 on a ten-frame.
Students can match a ten-frame to its numeral, dot pattern, and fingers configuration for quantities 0-10.

Vocabulary

bottom rowfull framematchsame

Lesson plan

Warm-up

5 min

Number Talk — flash ten-frame cards 6, 7, 8 ('how do you see it?'). Children explain: '5 and 1 = 6.'

Teacher moves

Anchor every conceptual subitizing on the 5-row-full structure.
Use sentence frame 'I see ___ and ___ = ___.'

Direct instruction

10 min

Today we use both rows. The top row is 5. If we add to the bottom row, we go higher. Watch.

Key examples

This is conceptual subitizing — using the 5 as an anchor.

model '5 + 2 = 7. We can SEE 7 without counting.'

prompt Build 7: 5 in top row + 2 in bottom row.
10 will become our most important number all year — keep an eye on it.

model '10! All filled. Ten counters in ten cells.'

prompt Build 10: both rows full.
A number is a number no matter how we show it.

model 'All six cards show 7. Different pictures, same number.'

prompt Show six-way representation match for 7 (numeral card, 7-dots, ten-frame, fingers, tally, word).

Checks for understanding

How do you see 8 in a ten-frame? (top row of 5 + 3 in bottom)
Are these two cards the same number? (yes — both show 7, just differently)

Media


        M-K-F-NS-09-A

Chart

Single 24"x18" poster titled '7 IN MANY WAYS.' Six panels around a central large 36-pt numeral '7' in red: top — dot pattern (7 black dots in a scattered arrangement); top-right — ten-frame (5 top, 2 bottom, all filled); bottom-right — fingers photograph (a child's two hands, one full 5-finger spread + one with 2 fingers); bottom — tally marks (one diagonal 5-bundle + 2 marks); bottom-left — word 'seven' in large 32-pt black; top-left — numeral 7 itself. All representations connected to center 7 by thin gray spokes.

Guided practice

8 min

Tasks

Show-me 6-10: teacher calls a number 6-10; children show on personal ten-frames.

scaffold Use a 5-anchor color line on the mat dividing top and bottom rows.
Six-way memory match: pairs spread the representation deck face-up; sort into piles by quantity. Each pile has 6 cards (numeral, dots, ten-frame, fingers, tally, word).

Media


        M-K-F-NS-09-B

Manipulative Physical / non-image

Photograph of a pile of representation cards spread on a wooden table — 66 cards total (11 quantities x 6 representations). Cards are 3"x3" square cards with high-contrast print. Some cards face-up showing the variety: numeral card '7' in red, ten-frame card showing 7, tally card showing 7, fingers card photo, dots card, word card 'seven.' Cards in pastel color border per quantity (e.g., all 7-cards have an orange border).

Formative assessment

2 min

Exit ticket

Show 8 on the ten-frame.
Match 3 representation cards that all show the same number.

scoring Both correct = mastery snapshot; 1 correct = practicing; both wrong = reteach

Closure

Moves

Preview: 'Tomorrow we compare quantities — which is more?'

Homework

5 min

Tasks

Draw a ten-frame showing 9 in your math journal. Color the counters.

Exercises in this lesson

math.gK.f.ns.ten_frame.ex_03 Show 9 on your ten-frame. Then write the numeral 9 next to the ten-frame.	show then write · diff 3
math.gK.f.ns.number_representations.ex_01 Find all 6 cards that show the number 5: the numeral 5, 5 dots, 5 on a ten-frame, 5 fingers, 5 tally marks, and the word 'five.'	six way match · diff 3
math.gK.f.ns.number_representations.ex_02 Here is the numeral 6. Draw a ten-frame showing 6 in your math journal. Then draw 6 tally marks.	draw matching representation · diff 2

Differentiation

Scaffolds

Color-coded top-row / bottom-row mat
Reduced deck (only 3 representations: numeral, dots, ten-frame)

Extensions

Six-way match for 0-10 in a timed challenge
Show same number in 3 different ten-frame fill patterns (challenge to non-standard fill)

English Learners

Word cards in English + home language
Sentence frame 'These all show ___' on table tent

Ieps 504s

Limit to numeral + dots match (2-way) before 6-way
Pre-sorted partial pile to start

Teacher notes

Today's lesson is the bridge from quantity-as-object (counters in a frame) to quantity-as-abstraction (a number can be represented six different ways and still be the same number). This is a key cognitive move per Bruner's representation theory underlying CPA. The six-way representation card deck is a classroom investment that pays off all year — keep it sealed and reuse in compare, compose-decompose, and addition lessons in Spring. Watch for children who insist that '7 dots' and '7 fingers' are 'different numbers' — that's the misconception we name and address.