Kindergarten Spring Math — Compose/Decompose to 10, Addition & Subtraction within 10, Teen Numbers as Ten-and-Ones, Measurement, and Classification
Lesson 2 30 min math.gK.s.lesson_02

Number Bonds for 6, 7, 8 — Shake-Spill-Tell Continues

Objectives
  • Students can decompose the numbers 6, 7, and 8 into two parts in at least two ways each.
  • Students can record decompositions on a number-bond mat AND on a part-part-whole bar diagram (introducing the bar model).
  • Students can use Number Talk discourse — 'I see ___ as ___ and ___' — to share their seeing.
Vocabulary
wholepartnumber bondpart-part-whole bardecomposeNumber Talk

Lesson plan

Warm-up

5 min

First Number Talk of the spring unit. Teacher flashes a dot card showing 7 dots in a 5-and-2 ten-frame arrangement for 3 seconds, then hides. 'How many did you see? How did you see it?'

Teacher moves
  • Wait 30 seconds in silence (think time)
  • Take 2-3 student responses with sentence frame 'I saw ___ as ___ and ___'
  • Affirm multiple seeings — 'Maya saw 7 as 5 and 2; Diego saw 7 as 4 and 3 (he saw the corners). Both are right.'
Media
M-K-S-AT-02-C Illustration
8.5x11 inch card. Top half: a horizontal 5-cell row, all 5 cells filled with solid black dots (1.5 cm each). Bottom half

8.5x11 inch card. Top half: a horizontal 5-cell row, all 5 cells filled with solid black dots (1.5 cm each). Bottom half: a horizontal 5-cell row, only the leftmost 2 cells filled with black dots. Total 7 dots. Card oriented so the 5+2 grouping is visible — supports conceptual subitizing. Style: high contrast (black on white), no labels.

Direct instruction

8 min

Yesterday we found ways to make 5. Today we go bigger — 6, 7, and 8. AND we meet a new tool — the PART-PART-WHOLE BAR (point to MG-3). The bar shows the same idea as the number bond — a whole and two parts — but as a rectangle split into two pieces. Same idea, different picture. Watch: I'll Shake-Spill-Tell with 7 counters. (Demonstrate. 5 red and 2 yellow appear.) Five and two make seven. I write 7 above the bar, 5 in one section, 2 in the other. AND I write the same numbers in a number bond (7 on top, 5 and 2 below). Both pictures show the same thing.

Key examples
  • Four and two make six. We can show this two ways — bond OR bar.
    model Whole = 6. Parts = 4 and 2. Number bond: 6 / 4, 2. Bar: 6 above; 4 | 2 inside.
    prompt Teacher Shake-Spills 6 counters: 4 red, 2 yellow.
  • Three and four make seven. Notice: yesterday Maya saw 7 as 5 and 2 — today my hand spilled 3 and 4. SEVEN can be made many ways.
    model Whole = 7. Parts = 3 and 4. Both diagrams.
    prompt Teacher Shake-Spills 7 counters: 3 red, 4 yellow.
  • Five and three make eight.
    model Whole = 8. Parts = 5 and 3. Both diagrams.
    prompt Teacher Shake-Spills 8 counters: 5 red, 3 yellow.
Checks for understanding
  • Point to MG-3. If the whole is 6 and one part is 4, what is the other part? (Listen for '2'.)
  • Show me with your counters: one way to make 8.
Media
M-K-S-AT-02-A Chart
Two-panel chart, 18x12 inches. Left panel: number bond with whole 6 on top, parts 4 and 2 below (red and yellow circles,

Two-panel chart, 18x12 inches. Left panel: number bond with whole 6 on top, parts 4 and 2 below (red and yellow circles, lines connecting). Right panel: part-part-whole bar — long rectangle labeled '6' above, divided by a vertical line into a yellow section labeled '4' (occupying 2/3 of the bar) and a red section labeled '2' (occupying 1/3). Caption between panels: 'SAME IDEA — two pictures.' Style: thick black outlines, primary colors, no shadows.

Guided practice

9 min
Tasks
  • In pairs, choose a number (6, 7, or 8) and find at least TWO ways to decompose it. Record each on BOTH the number-bond mat and the part-part-whole bar mat.
    scaffold Provide pre-printed cards with the whole number filled in for children stuck on which number to pick.
  • Class share-out: each pair posts ONE decomposition to the class chart. After all pairs post, count how many different ways each number was decomposed.
    scaffold Use vertical chart paper at child-height (Liljedahl VNPS).
Media
M-K-S-AT-02-B Interactive Physical / non-image

Three large columns of vertical chart paper at child-height, headed 'WAYS TO MAKE 6 / WAYS TO MAKE 7 / WAYS TO MAKE 8'. Pre-drawn empty number-bond outlines (10 per column). Children paste or draw their decompositions. Markers at child-height. At lesson end, count and circle the unique decompositions in each column.

Formative assessment

2 min
Exit ticket
  • Choose 6, 7, or 8. Draw a number bond AND a part-part-whole bar for one decomposition.
  • Say the sentence: '___ is ___ and ___.'
scoring Both diagrams correct = mastery; one correct = practicing; neither = reteach with concrete manipulatives next session

Closure

1 min
Moves
  • Math Detective close: 'Today we found that 6, 7, and 8 ALSO have many hidden parts. Tomorrow we meet a special sign — the PLUS sign — that lets us write what we have been doing.'
  • Ask one child to read the share-out chart aloud.

Homework

5 min
Tasks
  • Find 6 small things at home. Shake-Spill-Tell with a grown-up. Bring back one decomposition of 6 drawn as a number bond AND as a bar.

Exercises in this lesson

math.gK.s.ex_04
Shake 10 two-color counters and spill them. Build the part-part-whole bar on your mat.
shake spill tell 10 · diff 2
math.gK.s.ex_05
Color the ten-frame to show 10 = 6 + 4. Use blue for 6 and red for 4.
fill ten frame · diff 2
math.gK.s.ex_06
Write three different equations for ways to make 10. Start each with 10 = ___ + ___.
write equation · diff 3

Differentiation

Scaffolds
  • Number-bond OR bar (not both) for IEP children
  • Pre-filled whole numbers on the mats
  • Linking cubes color-coded for fixed-position decomposition
Extensions
  • Find ALL the ways to make 6 (and 7 and 8) and order them.
  • Find one way to decompose 8 into THREE parts (e.g., 8 = 3 + 3 + 2).
English Learners
  • Sentence-frame card with the home-language translation
  • Bilingual partner
  • Audio-recorded number-talk prompts
Ieps 504s
  • Concrete-only: counters and physical bond mat, no drawing required
  • Extended time
  • Quiet area for processing

Teacher notes

Today introduces the part-part-whole bar (MG-3) as a SECOND visual that shows the same idea as the number bond. Some children will prefer the bar (it makes the relative SIZE of parts visible); some prefer the bond (it foregrounds the connectedness). Honor both. The Number Talk routine starts today and runs every third lesson — its purpose is to surface decomposition strategies orally before children write them. Common Day-2 surprise: children produce more decompositions than expected because the K-Fall ten-frame work already exposed them to canonical configurations. Affirm all valid decompositions; do not push for canonical (5+2 over 2+5).