Numbers and Operations in Base TenVideo Lessons

Understand the place value system (major work)

Big Ideas: Decimal place value is an extension of whole number place value. The base ten system extends infinitely to very large numbers and very small numbers. This lesson builds on understanding developed in fourth grade to read, write, and compare de...

Big Ideas: Each place value to the left of another is ten times greater than the one to the right. Decimal place value is similar to whole number place value. This standard calls for students to reason about the magnitude of numbers. Students work with ...

Big Ideas: Multiplying by 1/10 is the same as dividing by 10. This standard calls for students to reason about the magnitude of numbers. Students will work with the idea that the ones place is 1/10 of the place to its left. In fourth grade, students exa...

Big Ideas: There is a pattern in our number system when multiplying a number by a power of ten. In fourth grade, students learned that in a multidigit whole number, a digit in one place represents ten times what it represents in the place to its right....

Big Ideas: Each time you divide a decimal by power of ten, the digits in the quotient shift to the right. Fifth grade is the first year students’ encounter dividing by powers of ten with decimal numbers. Students should have the opportunity to reason ab...

Big Ideas: Decimals can be compared based on their size. Decimals can be compared by analyzing like place values. Previous grade level expectations required students to be able to show decimal numbers using fractional notation. Students were also requir...

Big Ideas: Decimals can be compared using corresponding place value. Each digit in a number has a specific value. Grade level expectations require students to compare two decimals to the thousandths place. This task uses the batting average of baseball ...

Big Ideas: Decimals can be rounded using an understanding of place value. Each digit within a number has a different value. In grade four, students began comparing decimals and using decimal notation for fractions with a denominator of 10 or 100. In thi...
Perform operations with multidigit whole numbers and with decimals to hundredths (major work)

Big Ideas: To find an unknown product of two larger numbers, we can use what we know about place value and known multiplication facts to compute partial products that can be combined to form the total product. Using the area model allows students to see...

Big Ideas: Multiplying multidigit numbers requires strategies based on place value and the properties of operations. After working with area models, students should have a solid understanding of the connection between place value and multidigit multip...

Big Ideas: The standard algorithm is a quick and efficient strategy to use when multiplying multidigit whole numbers. Although area models and partial products exemplify the importance of place value, they are an inefficient way to multiply larger whol...

Big Ideas: Decimal place value is an extension of whole number place value. The decimal point indicates part of a whole. Decimals are a simpler way of writing fractions. Each place value is ten times greater than the one to the right. Adding decimals is...

Big Ideas: Decimal place value is an extension of whole number place value. The magnitude of the attribute to be measured and the accuracy needed determines the appropriate measurement unit. Whole number operations strategies can be applied to decimals....