math.gK.s.lesson_04
Ways to Make 10 — the Six Pairs (Liljedahl Vertical Boards)
- Students can find at least four ways to decompose 10 into two parts using two-color counters.
- Students can record each way as a number bond AND as an addition equation (e.g., 10 = 6 + 4).
- Students collaborate in Visibly Random Groups at vertical non-permanent surfaces.
Lesson plan
Warm-up
5 minColor-sticker partner draw: each child picks a sticker from a basket; children with matching sticker colors become partners. Teacher announces 'Today we are going to find all the ways to make 10 — together.'
- Use Liljedahl's VRG protocol — partner formation is random and visible
- Once partnered, pairs go to assigned vertical board (8 boards around the room)
- Each pair gets 10 two-color counters and one marker
Direct instruction
5 minWe have been finding parts. Today's mission: find ALL the ways to make 10 with two parts. Yesterday we learned to write addition. So today, each way you find — write it as a NUMBER BOND on your board AND as an EQUATION (10 = ___ + ___).
-
Now your turn — find as many as you can.model 10 = 7 + 3. Number bond and equation on board.prompt Teacher demonstrates: spills 10 counters; 7 red, 3 yellow.
- What does the WHOLE need to be for every one of your equations? (Listen for '10'.)
MG-4
Chart
Physical / non-image
Ways-to-Make-10 anchor chart: a 24-inch poster showing all six commutatively-distinct number-bond pairs for 10 — (0,10), (1,9), (2,8), (3,7), (4,6), (5,5) — each shown both as a number bond AND as a filled ten-frame (top row of 5 white + bottom row showing the partition). Used in lessons 6-7 (make-ten focus) and as a fluency anchor for the rest of the unit.
M-K-S-AT-04-A
Chart
Large 24-inch poster shown at end of lesson. Six rows, each showing one decomposition of 10: row 1 = (0, 10) with empty ten-frame on left and full ten-frame on right; row 2 = (1, 9); row 3 = (2, 8); row 4 = (3, 7); row 5 = (4, 6); row 6 = (5, 5). Each row labeled '10 = ___ + ___'. Style: clean grid, primary colors (red for first part, yellow for second part), white background. The six pairs highlighted with rainbow border for visual interest.
Guided practice
15 min-
At your vertical board with your partner, take turns Shake-Spill-Telling 10 counters. Each new decomposition: write it on the board as a number bond AND an equation. You have 15 minutes. Goal: find at least 4 different ways.scaffold Teacher circulates; for pairs stuck at 1-2 ways, prompt 'Try moving one counter from one side to the other. What new way did you make?'
-
After 12 minutes, gather at the central anchor chart. Each pair reports ONE way; teacher writes it on MG-4 (the Ways-to-Make-10 chart, previously hidden). Reveal that the canonical six ways are (0,10), (1,9), (2,8), (3,7), (4,6), (5,5).scaffold Count how many unique ways the CLASS found (should be 6 plus commutative variants).
M-K-S-AT-04-B
Photograph
Wide shot of a kindergarten classroom. Eight vertical whiteboards mounted at child-height around the room walls; 8 pairs of children standing at their boards, each pair with 10 two-color counters on a tray on the floor next to them and dry-erase markers in hand. The boards show various decompositions of 10 in marker (number bonds and equations). Teacher visible circulating with a clipboard. Style: documentary, natural classroom lighting.
Formative assessment
2 min- What is the partner of 6 to make 10? Show me with your fingers or on the ten-frame.
- Draw or write one way to make 10.
Closure
- Math Detective close: 'There are SIX special pairs that make 10. We will memorize them — they will help us with EVERY addition in first grade.'
- Chorally chant: '0 and 10, 1 and 9, 2 and 8, 3 and 7, 4 and 6, 5 and 5.'
M-K-S-AT-04-C
Audio
Physical / non-image
25-second audio file. Children's voices (recorded earlier) chant rhythmically: 'Zero and ten, one and nine, two and eight, three and seven, four and six, five and five — make TEN!' Voices in unison, claps on the final word TEN. No music. Can be looped during transitions for fluency-building.
Homework
5 min- Practice the partner-of-10 chant with a grown-up. Bring back one decomposition of 10 drawn or written on paper. Bonus: find an example of 'ten of something' at home (10 fingers, 10 toes, 10 pennies).
Exercises in this lesson
Differentiation
- Pre-printed ten-frame mat for fixed-position decomposition (color in 6 yellow + 4 red, etc.)
- Linking cubes color-coded by value
- Partner-of-10 flash cards (showing one part, child gives partner)
- Find ALL 11 ways including commutative variants ((0,10), (10,0), (1,9), (9,1), ...).
- What about THREE parts that make 10? (e.g., 10 = 4 + 3 + 3)
- Bilingual chant
- Sentence frame card: 'Ten is ___ and ___'
- Audio anchor of the six-pair chant
- Fixed-position decomposition on a magnetic ten-frame
- Reduce to four ways (omit (0,10) and (5,5) initially)
- Quiet area for the vertical board work if rug-area is overstimulating
Teacher notes
Today is the partner-of-10 anchor lesson. The make-ten knowledge built here is the foundation for Grade 1's 'make ten to add' strategy and for the entire decimal place-value system. Children who leave today able to recite the six pairs without prompting are well-positioned for G1. Liljedahl's VRG + VNPS protocol — children stand, write on vertical surfaces, work in random pairs — is adapted to K by using color-stickers (instead of playing cards) for partner formation and by keeping pairs (not 3-groups). Watch for the (5,5) decomposition; children sometimes miss it because the counters don't naturally fall 5-5 in Shake-Spill.