Understanding Place Value

Topic: Understanding Place Value

Objectives & Outcomes

• Students will be able to count up to the millions place and identify the value of each digit in a three-digit number.

Materials

• Place value chart with numbers to the millions place
• Counting bears or other manipulatives for each student
• Working sheets with three-digit numbers for each student

Warm-up

• Begin the lesson by showing a place value chart with numbers to the millions place and ask students to count up to the millions place, saying the value of each digit as they count.
• Next, have students work with a partner to count a pile of counting bears to the millions place, saying the value of each digit as they count.

Direct Instruction

• Introduce the concept of place value by explaining that the place value of a number indicates its position in the number system (the ones place is the first digit, the tens place is the second digit, etc.).
• Show the place value chart with numbers to the millions place again, and ask students to identify the value of each digit in each place.
• Have students work with a partner to cut out the digits in each place from different colored paper and glue them onto a sheet of paper to create a number to the millions place.
• As a class, discuss how the place value of each digit in a number determines its value.

Guided Practice

• Have students work with a partner to create a number to the millions place using the place value chart and manipulatives.
• As a class, have students work together to add the values of the digits together to determine the total value of the number.
• Review any questions and misconceptions with the class.

Independent Practice

• Have students work in small groups to create a number to the millions place using the place value chart and manipulatives.
• As a group, have students work together to add the values of the digits together to determine the total value of the number.
• Have each group share their number with the class and explain their reasoning for the placement of each digit.

Closure

• Review the concept of place value and the place value chart.
• Ask students to share one thing they learned about place value during the activity.

Assessment

• Collect the posters and use them to assess students' understanding of place value.
• Ask students to complete a short worksheet to check their understanding of place value.