Learning target and materials
Learners compare two-digit numbers by checking tens before ones. Provide two ordinary six-sided dice per pair, paper and a pencil. Large foam dice or teacher-written number cards can replace small dice when appropriate. This activity uses digits one to six; it does not cover every two-digit number. The goal is an explanation, not the fastest throw.
Model one round
Roll a 2 and a 5. Arrange them as 25, then reverse them to make 52. Read both numbers aloud. Explain that 52 has five tens while 25 has two tens, so 52 is greater even though both use the same digits. Write 52 > 25 and read the whole comparison aloud. The symbol should express a comparison already understood, rather than replace the reasoning.
Run the paired activity
Each learner rolls two dice and chooses which digit represents tens. Both write their numbers before revealing them. Compare the tens; if those match, compare the ones. Record both numbers, the symbol and one sentence explaining the decision. Swap the roles of recorder and explainer after each round. Repeat for four rounds, allowing a partner to question an explanation politely.
Use these fixed practice cases
Give everyone the same four cases after the game: 46 and 53; 62 and 26; 34 and 36; 55 and 55. Answers are 46 < 53, 62 > 26, 34 < 36 and 55 = 55. In the first two cases the tens decide. In the third, equal tens mean the ones decide. In the last, both positions match, so neither number is greater.
Respond to common errors
If a learner chooses 46 over 53 because six exceeds three, draw four groups of ten and six units, then five groups of ten and three units. If the reasoning is correct but the symbol is reversed, read the comparison from left to right together. If equal numbers cause confusion, ask whether either has an extra ten or unit. Record the specific difficulty rather than marking the entire activity wrong.
Check transfer and extend
Finish with 41 and 46. Ask for the symbol and a sentence: the tens are equal, and one is less than six, so 41 < 46. For an extension, ask learners to make the largest and smallest numbers from a 3 and a 6: 63 and 36. Explain that this task changes digit positions, not the digits themselves. Offer oral answers or counters when writing obscures understanding. Keep the numbers and reasoning unchanged when translating classroom instructions.
