Dear Family,
Your student is applying their understanding of decimal numbers in different ways. First, they convert metric and customary measurements involving decimals. Students convert measurements from larger units to smaller units and from smaller units to larger units. Then, they interpret and evaluate expressions involving decimals. Students learn that comparing two expressions by using a less than or greater than sign is called an inequality because the two expressions are not equal. Finally, students create and solve real-world problems. They use their understanding of decimal place value, relationships between decimals and fractions, and computation with decimals, fractions, and whole numbers.
NEW KEY TERMS
inequality
An inequality is a statement that compares two expressions by using > or <. (Lesson 29)
thousandths
Thousandths are a place value unit. 1 one can be decomposed into 1,000 thousandths. (Lesson 1)
FAMILAR TERMS
associative property of multiplication
bundle
exchange
rename
commutative property of multiplication
compare
distributive property
expanded form
exponent
hundredths
long division
power of 10
round tenths
Find a sample of our lessons below to help support MATH TALK at home.
Students also have these in their APPLY workbook.
Lesson 26
Solve a real-world problem involving metric measurements.
Organizing measurements into like groups of benchmark numbers can help me solve problems. Sometimes I need to convert measurements to a different unit to solve the problem.
Lesson 27
Convert metric measurements involving decimals.
I can use the relationships between metric measurements to convert decimal measurements. When I convert a measurement from a larger unit to a smaller unit, I use a relationship such as 1 meter is 100 times as much as 1 centimeter. When I convert a measurement from a smaller unit to a larger unit, I use a relationship such as 1 milligram is 0.001 times as much as 1 gram.
Lesson 28
Divide Convert customary measurements involving decimals.
Relationships between customary measurement units help me convert decimal measurements. When I convert a measurement from a larger unit to a smaller unit, I multiply by a whole number. When I convert a measurement from a smaller unit to a larger unit, I multiply by a fraction.
Lesson 29
Interpret, evaluate, and compare numerical expressions involving decimals.
I can interpret and evaluate expressions that have decimals. A tape diagram can help me interpret an expression and reason about how to evaluate the expression. I can compare the value of expressions that have decimals without evaluating them.
Lesson 30
Create and solve real-world problems for given numerical expressions involving decimals.
I can write a word problem that can be represented by a given numerical expression or tape diagram that has decimals. I need to consider groupings within the expressions or tape diagram as I write the word problem.