Say the forwards and backwards skip–counting sequences in the range 0–100 for twos, fives, and tens.
Say the forwards and backwards number word sequences by ones, tens, and hundreds in the range 0 – 1000.
Recall groupings of twos, threes, fives, and tens that are in numbers to 100 and the resulting remainders.
Say the forwards and backwards whole number word sequences by ones, tens, hundreds, and thousands in the range 0–1 000 000, including finding numbers that are 10, 100, and 1 000 more or less than a given number.
Say the forwards and backwards word sequences for halves, quarters, thirds, fifths, and tenths.
Say the number one–thousandth, one–hundredth, one–tenth, one, and ten, etc, before and after any given number.
Number Framework Stages 4-6
Put pegs on the number line to show the multiples of two, five, and 10 being learned by skip counting.
Say the sequence as you point to the pegs. Ask the students to predict what other
numbers would be pegged if the skip-counting continued.
Pose problems like, “When skip-counting by twos (or fives or tens), will the number 27 have a peg put on it? How do you know?”
Gradually remove the pegs until the skip-counting sequence is known. Mask parts of the number line with a strip of card. Point to the position of each multiple and ask the students say it. Repeat the activity by skip-counting backwards. Include skip-counting from new starting points, for example, skip-counting by fives starting at three gives 3, 8, 13, 18 ...
Extension Activity
Develop the idea of common multiples by pegging two sets of skip-counting numbers on the same number line, for example, two, four, six ..., and three, six, nine ... Use different-coloured pegs for each sequence. (Some numbers will have two pegs on them.) Ask the students to predict what other numbers occur in both sequences, for example, 6, 12, 18 ...
Extension Activity
Use the same method to skip-count on the decimal number line. The students need to skip-count in tenths and hundredths. Counting in multiples of two-tenths, three-tenths, five-hundredths ...
Repeat the skip-counting sequences starting in different places. For example, 0.3, 0.34, 0.38, 0.42 ...