Teaching with a hundreds chart
The hundreds chart turns the base-ten system into something students can see. Because every row has ten numbers, moving down a row always adds 10, so a student who can find 34 can find 44, 54 and 64 by looking down. That is the reason it appears in so many first and second grade lessons on place value, skip counting and mental addition.
Patterns to point out
- Going down one row adds 10: 34 → 44 → 54. Going up takes away 10.
- Going one square to the right adds 1; one to the left takes away 1.
- Every number in a column ends in the same digit: the whole column under 7 ends in 7.
- Counting by 10s lights up one column; counting by 5s lights up two (the 5s and 0s).
- Counting by 2s makes stripes: every other column is highlighted, all the even numbers.
- Counting by 9s runs diagonally down and to the left, because adding 9 is adding 10 and taking away 1.
- Counting by 11s runs diagonally down and to the right, because adding 11 is adding 10 and 1.
From counting to computing
Start with counting on the chart, then ask students to add 10 or subtract 10 without counting each square. Next, add 9 and 11 by moving diagonally. Later, let students solve 47 + 23 by moving down two rows and right three squares. The chart should become unnecessary: when students stop looking at it to find the answer, take it away.
When to cover numbers
Covering numbers shifts students from reading the chart to using the structure of it. Cover a single square and ask how they know which number is there. Cover a whole row and ask what could be in the middle. Missing-numbers puzzles at the Hard level are a good quick check of number sense after a unit.