Topic 1: Understand Place Value

Lesson 1: Patterns with Exponents and Powers of 10

In this lesson we used patterns and the properties of multiplication to calculate a product when multiplying by a power of 10. We were also introduced to exponents, using whole-number exponents to write powers of 10. We started to learn that each place was 10 times as big as the place to its right, since we are multiplying another 10 to get there (i.e. 1,000 is ten times as big as 100).

Helpful Videos:

Powers of Ten | Math with Mr. J (6:07)
Powers of 10 and Exponents Song | NUMBEROCK (4:17)

Lesson 2: Understand Whole-Number Place Value

In this lesson we read and wrote whole numbers using standard form, expanded form, and number names. We used exponents to represent each value as a power of ten, and we reiterated that each place's value increases 10 times as we move to the left on the chart, or becomes one tenth (1/10, also called ten times smaller) as big when moving right.

Helpful Videos:

Lesson 3: Decimals to Thousandths

Represent decimals to thousandths as fractions and fractions with denominators of 1,000 as decimals.

Helpful Videos:

Decimal Place Value Song | NUMBEROCK (3:23)

Lesson 4: Understand Decimal Place Value

Read and write numbers with decimals through thousandths using standard form, expanded form, and number names; identify equivalent decimals.

Helpful Videos:

Expanded form with multiplication of decimals | Michelle Hugenberg (7:03)

Lesson 5: Compare Decimals

In this lesson we used place value to compare decimals through thousandths. Our recommendation: Write the numbers on above the other, lining up the decimal point.

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Lesson 6: Round Decimals

In this lesson, we used our past estimating experience, as well as looking at place value, to round decimals to different places.

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Lesson 7: Problem Solving: Look For and Use Structure

In this lesson we used the structure of the decimal place-value system to solve problems involving patterns.