math.gK.s.lesson_12
Sort and Count — Buttons in Three Categories
- Students can sort a collection of 10-12 objects into 2 or 3 categories based on one attribute.
- Students can count the number of objects in each category and record the counts on a tally chart.
- Students can compare category counts: which has the most, which has the fewest.
Lesson plan
Warm-up
5 minClass sort: teacher shows a basket of 10 mixed objects (3 marbles, 4 paper clips, 3 erasers). 'How could we sort these?' (Take suggestions: by type, by color.) 'Let's sort by type. How many in each pile?'
- Demonstrate sorting on a labeled mat
- Count each pile and record on tally chart
- Compare: which has the most? Which has the fewest?
M-K-S-DS-12-C
Video
Physical / non-image
Top-down view of a teacher hand sorting 10 mixed objects (3 marbles, 4 paper clips, 3 erasers) into three labeled zones on a sorting mat. Voiceover: 'I look at each object. I decide which category it belongs to. I place it in the right zone. Then I count each zone.' Hand finishes; camera pans to show the tally chart being filled in (3, 4, 3). Music: gentle background.
Direct instruction
7 minToday we are sorters and counters. (Show MG-8 chart.) Look at this sorting mat. We have three zones — buttons with 2 holes (left), buttons with 4 holes (middle), buttons with no holes (right). I will sort my button collection. (Demonstrate sorting 12 buttons into three zones.) Now I COUNT each category. 2-hole buttons: 1, 2, 3, 4, 5. I have 5. I record on the tally chart with FIVE tally marks. 4-hole buttons: 1, 2, 3. I have 3. Three tallies. No-hole buttons: 1, 2, 3, 4. I have 4. Four tallies. Total: 5 + 3 + 4 = 12. Now I compare. Which category has the most? (5, 2-hole.) Which has the fewest? (3, 4-hole.) This is the start of how mathematicians collect and look at DATA.
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Red has the MOST. Green has the FEWEST. We compare by looking at the counts.model Tally: red 4, blue 3, green 2. Total 9.prompt Sort 9 marbles by color: 4 red, 3 blue, 2 green
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Small has more. Large has fewer.model Tally: small 6, large 4. Total 10.prompt Sort 10 buttons by size: 6 small, 4 large
- If I sort 12 objects into 3 categories and I count 5, 4, and 3 — does that total to 12? (Yes.)
- Which category has the most: red 6, blue 3, green 4? (Red.)
M-K-S-DS-12-A
Photograph
Top-down photo of a child-height table with a laminated sorting mat (3 zones labeled 'BUTTONS WITH 2 HOLES / 4 HOLES / NO HOLES' in 24-pt font, each zone bordered in a different color: red, blue, green). 12 buttons (mixed types) scattered above the mat ready to sort. Tally-chart template at the right of the mat with row labels matching the zones.
MG-8
Chart
Physical / non-image
Classification anchor chart: shows a sorting mat with three labeled zones (BUTTONS WITH 2 HOLES — 5 buttons drawn; BUTTONS WITH 4 HOLES — 3 buttons drawn; BUTTONS WITH NO HOLES — 2 buttons drawn) plus a tally and a category-count chart at the bottom. Demonstrates sort → count → record.
M-K-S-DS-12-B
Chart
Physical / non-image
Large 18x12 inch laminated chart. Three column-zones labeled '2-HOLE BUTTONS' (with 5 drawn 2-hole buttons), '4-HOLE BUTTONS' (with 3 drawn 4-hole buttons), 'NO-HOLE BUTTONS' (with 4 drawn no-hole buttons). Below each zone: a tally area with marks (////; ///; ////) and a total numeral. At bottom of chart: row labeled 'COMPARE' with three small bars showing relative heights of category counts (the 5-button column tallest). Style: clean grid, primary colors.
Guided practice
12 min-
Each child receives a sorting mat with 3 zones and a button bag (10-12 buttons). Sort by an assigned attribute (your group: by holes), count each category, record on tally chart. Compare counts and identify most/fewest.scaffold Pre-labeled zones with picture icons (2-hole button photo, 4-hole button photo, no-hole button photo) for non-readers.
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Gallery walk: children walk around to see partners' tally charts. 'Who had the same MOST category as you?'scaffold Sentence frame card: 'My ___ category has the most.'
Formative assessment
2 min- Sort 10 small objects (provided) into 2 categories. Record the counts.
- Which category has more? How do you know?
Closure
- Math Detective close: 'Today we became data scientists — sorting, counting, comparing. Tomorrow we measure!'
Homework
5 min- Find 10 small things at home (coins, beads, beans). Sort them into 2-3 categories. Tell a grown-up: 'My categories are ___ and ___. The ___ category has more.'
Exercises in this lesson
Differentiation
- Pre-labeled zones with picture icons
- Reduced count (6 objects in 2 categories)
- Color-matched sorting bins
- Sort by TWO attributes simultaneously (e.g., color AND size — yields a 2x2 grid; stretch to G1)
- Re-sort the same objects by a DIFFERENT attribute and compare
- Picture-icon labels on zones
- Bilingual category labels
- Sentence-frame card
- Pre-sorted demo to model
- Tactile button categories (different textures)
- Reduced count + reduced category number
Teacher notes
First data lesson of the unit (DS strand). The sort-then-count-then-compare routine is the seed of categorical data — children will revisit it in G1 (picture graphs / bar graphs) and G2-3 (more complex data displays). The 'one attribute at a time' rule is critical at K — multi-attribute sorts are too cognitively loaded. The Zaslavsky 'Africa Counts' reference connects sorting to African counting-by-groups traditions; mention this briefly during the warm-up if cultural-relevance moment arises. Buttons are the canonical K manipulative for sorting because the attribute (number of holes) is visible and discrete. Substitute keys, leaves, or coins if buttons unavailable.