# 3. Solve problems using place value understanding (A)

teaches Common Core State Standards CCSS.Math.Content.5.NBT.A.2 http://corestandards.org/Math/Content/5/NBT/A/2
teaches Common Core State Standards CCSS.Math.Content.5.NBT.A.3a http://corestandards.org/Math/Content/5/NBT/A/3/a
teaches Common Core State Standards CCSS.Math.Practice.MP4 http://corestandards.org/Math/Practice/MP4
teaches Common Core State Standards CCSS.Math.Practice.MP7 http://corestandards.org/Math/Practice/MP7

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Lesson objective: Solve problems using the understanding that in numbers digits’ values represent $${1 \over 10}$$ of what they represent in the place to the left.

This lesson provides an opportunity for students to apply their knowledge and understanding of the idea that the value of a digit in a given place is one-tenth as much as the value of the digit to its left to a real-life situation. Students are asked to determine how many scoops of each kind of tea two girls have in their shopping bags given the total weight of each shopping bag and individual weight of each kind of tea scoops.

Key Concept students will use:

• In numbers, digits represent $${1 \over 10}$$ of what they represent in the place to the left.

Skills students will use:

• determining $${1 \over 10}$$ of a given digit

Students engage in Mathematical Practice 7 (Look for and make use of structure) as they examine the order of the digits that stand for the total weight of each shopping bag and determine the difference in values of the given digits.

Key vocabulary:

• decimal

• digit

• hundredths

• tenths

• value of a digit

Special materials needed:

• base ten blocks
• place value chart
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