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Level 2: Tens, hundreds and sharing

Numbers · level 2 of 8 · rough age 7-8 (a guide for parents; anyone can start anywhere)

In level 1 you learned that ten ones make a ten. In this level the groups get bigger: ten tens make a hundred, and place value lets you read, write, add and subtract numbers up to a thousand, with regrouping that you can explain, not just follow. Then come two new operations, multiplying as equal groups and dividing as fair sharing, and the first fractions: halves, thirds and quarters. The level ends with a tour of older ways to write numbers, and why ours won.

Lesson You will be able to
Place value to 1000 Read, write and compare any number to 1000, say what each digit is worth, and explain why zero holds a place
Adding and subtracting two- and three-digit numbers Add and subtract by splitting, by jumping, and in columns with regrouping, and check subtraction with addition
Fact families and mental tricks Turn one fact into four, use doubles, near doubles and "add 10, take 1", and estimate to check
Multiplying as equal groups Find products by skip counting and arrays, and explain why 3 × 4 = 4 × 3
Dividing as fair sharing and as making groups Divide by sharing and by grouping, find leftovers, and use multiplying to divide
Halves, thirds and quarters Cut shapes and groups into equal parts, name and compare unit fractions, and place them on a number line
Old ways to write numbers Read and write tally marks, Egyptian, Roman and Maya numerals, and explain why place value and zero matter

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