Kindergarten · MathematicsAbout 90 minutes
MathematicsKindergartenAbout 90 minutes

Count forward: ones, tens, and starting in the middle

Suggested multi-session teaching plan.

Ohio learning standards this draft targets

math-2017:K.CC.1math-2017:K.CC.2

Read the standard text

math-2017:K.CC.1 Count to 100 by ones and by tens.

math-2017:K.CC.2 Count forward within 100 beginning from any given number other than 1.

Provisional targets. Clause-by-clause educational review is still pending.

Section 1 · LearnLearn the idea
Each box shows one number. Read across a row, then continue on the next row. The highlighted boxes show 28, 29, 30 and 31 in counting order.Each box shows one number. Read across a row, then continue on the next row. The highlighted boxes show 28, 29, 30 and 31 in counting order.123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100
Each box shows one number. Read across a row, then continue on the next row. The highlighted boxes show 28, 29, 30 and 31 in counting order.

Learning goal: Say number names in order to 100, count by tens to 100, and continue a count from a number other than one. Use several short sessions; saying a long memorized chant once is not evidence that a child can start anywhere. An adult may read every instruction aloud. Bring a hundred chart, a counter to mark the current number, and groups of ten connecting cubes.

Start with a familiar stretch: one, two, three, four, five. Move the marker once for each new number name. Ask what comes after five before moving it. Explain that counting forward by ones visits every whole number in order. Number names follow a fixed order even when nobody is counting objects. Practice across a row boundary—eight, nine, ten, eleven, twelve—because stopping at the end of a printed row is a chart habit, not a counting rule.

On the illustrated chart, each numbered box is a position in the counting sequence. The highlight names the current number; it does not mean that only highlighted boxes exist. Read across each row from left to right. At the right edge, continue on the next row. Follow 28, 29, 30, 31 with a finger. Ask why 31 follows 30 although its box is farther to the left. The layout changed rows; the count still increased by one.

Next count full groups of ten cubes. One group contains ten cubes, two groups contain twenty, and three contain thirty. Say ten, twenty, thirty, forty, fifty, sixty, seventy, eighty, ninety, one hundred while pointing to successive complete groups. Counting by tens names the totals after each new group. It does not mean that there are no numbers between ten and twenty. Compare the two routes to thirty: thirty steps of one or three steps of ten.

Finally begin in the middle. If the adult says 46, the child can say 47, 48, 49, 50, 51 without restarting at one. Invite the child to verify an uncertain transition on the chart, then try the same sequence with the chart covered. Explain that checking a number is a useful strategy, and gradually reduce support rather than asking children to race.

Section 2 · ModelWork through the examples

Worked example 1: Cross a decade. “Start at 37 and stop at 42.” Place the marker on 37 and say 37. Move to 38, then 39. After 39, the next name is forty, not thirty-ten. Continue 41, 42 and stop. Six number names were spoken, including the starting number. This example asks for a sequence, not the number of objects in a set.

Worked example 2: Count bundles. Draw five separate bundles and verify that each contains ten sticks. Point to the bundles while saying 10, 20, 30, 40, 50. The fifth bundle makes a total of fifty sticks; the picture still contains five bundles. Ask the learner to finish both sentences: “There are five __.” and “There are fifty __.” The units are bundles and sticks.

Worked example 3: Repair a skip. A puppet says 68, 69, 80, 81. Locate 69 and read the next box, 70. Continue 71, 72. Explain that 80 comes later; the puppet skipped the seventies. Rehearse 68 through 73 twice in different playful contexts, then revisit the transition the next day.

Section 3 · DoPractice, demonstrate, and explain

Guided practice: Alternate number names with a partner from 14 through 23, then 54 through 63. If a number is skipped, return to the last agreed number and continue. Let the child be the adult’s checker too. Make ten groups of ten drawn marks and connect each group to the appropriate tens name.

Independent demonstration across several days: Count by ones to 100, by tens to 100, and forward from three adult-chosen starts such as 17, 48 and 86. Stop within 100. Record which transitions need prompting; do not substitute a multiple-choice score for the oral performance. A complete response uses the correct order and continues from the requested start. Give another opportunity after practice.

Support: Use a short strip showing only the next five numbers before returning to the full chart. Extend by asking the child to explain the difference between “next number” and “next ten.” Do not require counting beyond 100 for this target. End by asking the learner to teach a puppet how to continue from 29.

Section 4 · Check6-question lesson practice test

An adult may read the prompts aloud. Answer independently with words, objects, drawings or a demonstration before opening the answer guide. Award 1 point for a correct result or claim and 1 point for a matching explanation or demonstration; where a question asks only for a result (a corrected sentence, a spelling, a count), a fully correct result earns both points, and the answer guide shows what a complete response contains. Record prompting separately. The total (two points per question) is local practice feedback, not an Ohio proficiency level.

Problem 1

Say the next three numbers after 58.

Show worked solution

59, 60, 61. The count crosses from the fifties to the sixties; it does not stop at the chart edge.

Problem 2

Count by tens from 10 to 100.

Show worked solution

10, 20, 30, 40, 50, 60, 70, 80, 90, 100. Each step adds another complete group of ten.

Problem 3

A puppet says 48, 49, 60. Repair the count.

Show worked solution

48, 49, 50. Sixty is later in the sequence.

Problem 4

Start at 76 and count through 81.

Show worked solution

76, 77, 78, 79, 80, 81. Begin at 76, without restarting at one.

Problem 5

How many sticks are in six groups of ten? Explain the units.

Show worked solution

Sixty sticks in six groups. Six counts the groups; sixty counts the individual sticks.

Problem 6

With an adult listening, count aloud by ones from 1 to 100.

Show worked solution

Adult observation: every number name is said once, in order, through one hundred. Note any prompts and revisit uncertain decade transitions on another day.