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Grade 5 lesson focus across major, supporting, and additional clusters
Grade 5 lesson focus across major, supporting, and additional clusters
Grade 5 units across the year
Grade 5 units across the year
Overview of Grade 5 Major, Supporting, and Additional Work
Overview of Grade 5 Major, Supporting, and Additional Work
Major work of the year
Major work of the year
The major work of fifth grade centers on the expanding the understanding of fractions as numbers which can be compared and operated on. Students develop fluency with adding and subtracting fractions, including adding fractions with unlike denominators. They build on the work of fourth grade with equivalent fractions to find fractions with like denominators. Students develop estimation strategies and benchmark fractions to allow them to evaluate the reasonableness of their answers. Fifth grade students apply their understandings of the properties of the multiplication and division to multiply two fractions and to divide a unit fraction by a whole number or a whole number by a unit fraction. They make use of visual models and connect the context to the strategies used and the results of their computation. Area and number line models continue to be important representations as students make meaning of the results of operating on fractions. Fifth grade students also explore scaling generalizations which lay the foundation for ratio and proportional reasoning in sixth grade.
Fifth grade students develop an understanding of volume. This work builds on the ideas about area and rectangular arrays developed in third grade, and the work with factors and multiples of fourth grade. Students recognize that volume is an attribute of three-dimensional space and that volume can be measured by finding the total number of unit cubes needed to fill a space. As students decompose three-dimensional shapes, they are able to view them as layers of arrays of cubes. They also decompose non-overlapping rectangular prisms and apply strategies for finding the volume of these complex figures. They apply knowledge of factors and multiples to find possible dimensions for a given volume and apply the associative property as they develop a formula for finding the volume. Students relate volume to the operations of addition and multiplication and solve real world problems related to the concept.
The major work of this grade also includes further exploration of the base ten number system. Students finalize fluency with the whole numbers and the four operations, extending division to 2-digit divisors. They integrate decimal fractions into the place value system and use whole number exponents to denote powers of ten. The comparison and ordering of decimals extends to the thousandths place. Students apply their understanding of models for decimals and decimal notation as they add and subtract decimals to the hundredths. They apply their understandings of models for decimals, decimal notation, and properties of operations to add and subtract decimals to hundredths. The major work of fifth grade includes understanding the relationship between finite decimals and whole numbers, including understanding what happens when we multiply a decimal by a power of ten. Students apply their understandings of multiplication and division of whole numbers to efficiently and accurately find the products and quotients of decimals to the hundredths.
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