September 3, 2010

Lesson materials for Place value to the Billions emphasizing conversion between standard, word, and expanded forms of numbers

- Mathematics > General
- Mathematics > Number Sense & Operations
- Mathematics > Patterns
- Education > General

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Fluently add and subtract multi-digit whole numbers using the standard algorithm.

Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.

Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.

Recognize that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right.

Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left.

describe the mathematical relationships found in the base-10 place value system through the hundred thousands place;

interpret the value of each place-value position as 10 times the position to the right and as one-tenth of the value of the place to its left;

Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left.