math.gK.s.lesson_10
Counting Past 10 — Why Ten is So Special (Count to 100 by Tens)
- Students can count from 1 to 100 by tens (10, 20, 30, ..., 100).
- Students can identify the 'tens' column on a 100-chart (10, 20, 30, ..., 100).
- Students can connect the count-by-tens pattern to the teen-number place-value structure from lesson 9.
Lesson plan
Warm-up
5 minWhole-class chant: count by tens to 100. 'Ten, twenty, thirty, forty, fifty, sixty, seventy, eighty, ninety, one hundred.' Teacher points to each multiple on the 100-chart as the class chants.
- Repeat 3 times at increasing tempo
- Then ask: 'When we count by tens, how MUCH does the number grow each time?' (Listen for 'ten'.)
Direct instruction
8 minYesterday we found that teen numbers are 'ten and some ones.' Today we go further: we count by TENS — all the way to 100. Watch the 100-chart. (Point.) Look at the LAST column: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100. Each one is a MULTIPLE of ten. Now look at linking cubes. (Hold up a 10-train.) One 10-train = 10. Two 10-trains = 20. Three 10-trains = 30. (Hold up multiple trains.) As I add a 10-train, the count goes up by 10. This is why TEN is so special in our number system — everything is built on tens. (Show 100-bead string.) Same idea — 10 white beads, then 10 red, then 10 white. Each group is a TEN.
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Three tens make thirty.model Three 10-trains stacked = 30. Count: 10, 20, 30.prompt Show 30 with linking cubes
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Six tens make sixty.model Six 10-trains = 60. Count: 10, 20, 30, 40, 50, 60.prompt Show 60 with linking cubes
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Ten tens make one hundred. That's why this is the 100th day of school countdown!model Ten 10-trains = 100. Or the full 100-bead string.prompt Show 100 with linking cubes and 100-bead string
- If I have four 10-trains, what number am I showing? (40.)
- How many 10-trains do I need to show 70? (7.)
MG-2
Chart
Physical / non-image
Number-Bond anchor chart: a 24-inch poster showing the canonical number-bond visual — a whole circle on top labeled '7', two lines descending to two part-circles labeled '5' and '2' — with the word 'WHOLE' above the top circle and 'PART' under each lower circle. Below the diagram three example bonds for 7 are shown: (5,2), (4,3), (6,1). Used daily as the reference for number-bond work; child-height mounted.
M-K-S-NS-10-A
Chart
Standard 10x10 grid 100-chart (the K-Fall MG-2 chart) with the rightmost column (10, 20, 30, 40, 50, 60, 70, 80, 90, 100) highlighted in bright yellow. Each highlighted cell additionally has a red circle around the numeral. Large 28-pt font numerals. Style: clean, white background, primary colors for highlights.
M-K-S-NS-10-C
Manipulative
Physical / non-image
Photo of a 100-bead string stretched across a child-height surface. Color pattern: 10 white beads, 10 red beads, 10 white, 10 red, ... alternating. A child's finger touches the boundary between the 5th and 6th color group, where the count would say 50. Caption: 'Each color group = 10 beads. Counting by groups: 10, 20, 30, ...'
Guided practice
10 min-
Skip-Count-by-Tens game: in pairs, take turns calling a number and the partner names the next 'count-by-tens' number (Partner A: '20'; Partner B: '30'). Use the 100-chart as reference. Continue around the room.scaffold Visual 100-chart at child-height for tracking.
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Linking-cube build: each child receives a target number (20, 30, ..., 90, 100) and builds it with 10-trains. Hold up build for class verification.scaffold Pre-built 10-trains so children only have to count the TRAINS, not individual cubes.
M-K-S-NS-10-B
Video
Physical / non-image
Top-down camera. Frame opens with one 10-train (10 white linking cubes snapped together) on a white surface. A hand places a second 10-train next to it. Counter overlay '20'. Third train added: counter '30'. Continues through 100. Final shot: 10 10-trains forming a 10x10 grid. Counter overlay 'ONE HUNDRED'. Music: rhythmic xylophone, increasing tempo as the count grows.
Formative assessment
2 min- Count by tens from 10 to 100 (orally to the teacher).
- Show me 40 with 10-trains.
Closure
- Math Detective close: 'TEN is the building block of our number system. The 100th day of school is coming — we'll celebrate with 100 of everything!'
Homework
5 min- Practice counting by tens to 100 with a grown-up. Find 'ten of something' at home (10 fingers, 10 toes, a sheet of 10 stickers) and report how many you found.
Exercises in this lesson
Differentiation
- Number-song scaffold (Jack Hartmann counting-by-tens song)
- Pre-built 10-trains
- Color-coded 100-chart with multiples-of-10 column highlighted yellow
- Skip-count by 5s to 50 (stretch from K-Fall): 5, 10, 15, ..., 50
- Count by tens starting from a non-multiple-of-10 (e.g., start at 23 and count 23, 33, 43, ... — preview of G1)
- Bilingual count-by-tens (Spanish: diez, veinte, treinta...)
- Audio anchor
- Picture-supported tens-chart
- Range reduced (10 to 50 first session)
- Concrete-only (10-trains, no chart-reading)
- Body-counting (children stand in groups of 10)
Teacher notes
Today's lesson explicitly connects yesterday's teen-number work (a ten + some ones) to the counting-by-tens pattern. The big idea: 10 is the building block. The 100th-day-of-school countdown (typically around this point in the school year) is a natural celebration anchor — many K teachers organize a 100th-day party with '100 of everything' activities. The count-by-tens fluency built today is the foundation for skip-counting (G1) and multiplication (G2-3). Watch for the -teen / -ty confusion (fourteen / forty): when children chant by tens, some say 'four-teen' instead of 'forty.' Correct gently with reference to MG-6 (the teen chart) — teens are 11-19; the -ty words are tens (10, 20, ..., 90).