Students represent decimal numbers to thousandths by using a variety of concrete and pictorial models and name the numbers in different forms. Students describe relationships between adjacent decimal place value units as 10 times as much as the next smaller unit and 1/10 as much as the next larger unit. Students compare two decimal numbers to thousandths and round decimal numbers to any place value.

Family Math Topic A

Students apply the methods they use to add and subtract whole numbers to add and subtract decimal numbers. By the end of the topic, they apply place value understanding and use concrete and pictorial models, recording the work in vertical form, to support the transition to the standard algorithm.

Family Math Topic B

Students apply the methods they use to multiply whole numbers to multiply decimal numbers to hundredths. They rely on unit form and their understanding of multiplication as equal groups to make sense of products of decimal numbers and whole numbers. Then students transition to multiplying two decimal numbers by using fraction multiplication to determine the product and make sense of its units.

Family Math Topic C

Students apply the methods they use to divide whole numbers to divide decimal numbers to hundredths. With a continued emphasis on unit thinking, students rename decimal numbers in unit form, use whole number division methods to divide, and then rename the quotient in decimal form. Students also connect dividing whole numbers by unit fractions to dividing numbers by 0.1 and 0.01.

Family Math Topic D

Students apply their understanding of decimal place value, relationships between decimals and fractions, and computation with decimals, fractions, and whole numbers to convert measurements in both the metric and customary measurement systems. They use tape diagrams to interpret and evaluate numerical expressions, and they create word problems that can be represented by a given expression or tape diagram.

Family Math Topic E

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)

associative property of multiplication

bundle, exchange, rename

commutative property of multiplication

compare

distributive property

expanded form

exponent

hundredths

long division