math.gK.f.lesson_12
Patterns — AB and ABB, extend and create
- Students can identify the unit of repetition in an AB and ABB pattern.
- Students can extend a pattern by 2-4 more terms and create an original repeating pattern.
Lesson plan
Warm-up
5 minBody-pattern routine: teacher claps-stomps-claps-stomps; children echo. Repeat with clap-clap-stomp pattern.
- Name the pattern after children participate: 'That was AB — clap stomp clap stomp.'
- Try ABB: clap stomp stomp clap stomp stomp.
M-K-F-AT-12-C
Video
Physical / non-image
45-second video. Two children (varied skin tones) facing the camera, demonstrating: clap-stomp-clap-stomp (4 cycles) labeled 'AB'; then clap-stomp-stomp (4 cycles) labeled 'ABB'; then clap-clap-stomp (4 cycles) labeled 'AAB'. On-screen captions show the pattern letters as each move is made. Simple gym background, bright lighting.
Direct instruction
10 minA PATTERN is something that REPEATS. The repeating part is called the UNIT. Watch.
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We read the unit, then we repeat the unit.model 'Unit is red-blue. Pattern label: AB. What comes next? RED!'prompt Build cube pattern: red-blue-red-blue-red-blue.
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The unit can be 3 things — like A-B-B.model 'Unit is red-blue-blue. Pattern label: ABB. What comes next? RED!'prompt Build cube pattern: red-blue-blue-red-blue-blue.
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We could even sing it: HIGH-LOW HIGH-LOW. Same pattern.model 'The pattern doesn't care WHAT we use — it cares about the UNIT.'prompt Pattern translation: red-blue cubes = clap-stomp body pattern = circle-square shape pattern.
- What is the unit of red-blue-red-blue? (red-blue)
- What letter pattern is clap-stomp-stomp? (ABB)
M-K-F-AT-12-A
Chart
Physical / non-image
24"x18" poster titled 'PATTERNS.' Three rows. Row 1 (AB): red-blue-red-blue-red-blue cubes with 'unit: red-blue' labeled. Row 2 (ABB): red-blue-blue-red-blue-blue with 'unit: red-blue-blue' labeled. Row 3 (AAB): red-red-blue-red-red-blue with 'unit: red-red-blue' labeled. Each row has 2 empty cells at the end with prompt 'what comes next?' Below all rows: large 'a pattern REPEATS its UNIT.'
Guided practice
10 min-
Vertical surface task (VRG light): pairs stand at chart paper taped at child-height. Each pair gets a started AB pattern (4 cubes); they extend with 4 more.scaffold Pattern strip with empty cells beyond the started portion.
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Bead-string create: each child threads a 10-bead pattern (own choice: AB or ABB) onto a pipe-cleaner.
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Translation: take partner's bead pattern and translate to a body-movement pattern (clap/stomp/jump/wiggle).
M-K-F-AT-12-B
Photograph
Top-down photograph of a wooden 2-row, 4-pit Mancala-style sowing board, with stones (8 total — 2 per pit) arranged. Brief teacher-facing caption: 'Mancala — a West African counting game c. 700 CE. Used for one-to-one practice. Note: cultural context required during use — name the African origin.' Sized as a 6"x4" inset photo for use during cultural-context discussion.
Formative assessment
2 min- Extend pattern: red-blue-red-blue-red-_____ -_____
- Create your own ABB pattern using crayons (3 colors).
Closure
- Class chants their favorite bead pattern out loud.
- Preview: 'Tomorrow we meet shapes!'
Homework
5 min- Find a pattern at home (clothes stripes, floor tiles, wallpaper) and describe it to a grown-up. What is the unit?
Exercises in this lesson
Differentiation
- Start with AB before ABB
- Provide letter labels under each pattern element
- Limit to 2 colors before introducing 3
- AAB and ABBA patterns
- Find the unit in a 12-term pattern
- Translate a pattern across 4 different modalities
- Bilingual sentence frame 'My pattern is ___ ___ ___' on table tent
- Color-name word cards
- Larger beads (chunky beads, easier threading)
- Pre-started pattern with 6 of 8 terms
Teacher notes
Patterns are algebraic thinking at K — recognizing structure that recurs. The UNIT of repetition is the key concept; without it, children just see 'a string of things.' The translation-across-modality move (cubes → body → song) is the higher-order generalization step — research (NCTM 2014) shows it predicts later algebraic reasoning. Mancala is named explicitly as a West African counting/sowing game (c. 700 CE) — this is a culturally responsive mathematics moment, not decoration.