In 5th grade math, it is the year when some of the changes begin occurring as students begin to master the very basics of arithmetic and make the transition to higher levels of math study. This is apparent with their study in numbers, measurement, geometry, and manipulation of numbers.
Students are expected to be able to count by various numbers all the way to 144. For example, they must know how to count by 9's, 9, 18, 27, etc all the way to 144. 5th grade math students should also know the entire multiplication table from 1 to 12. Students should understand decimals to the one thousandth place and be able to understand the basics of fractions. They need to be able to multiply and divide decimals.
Students need to have complete understanding of units of measurement in both the standard and metric systems and should be able to use them in math activities. They should be able to measure items with a ruler accurately and they should be able to begin to make estimates of measurements. Furthermore, 5th grade math students should be able solve measurement problems concerning perimeter, area, and volume. They should be able to understand and explain formulas for solving these types of problems.
In 5th grade math, they should be able to understand how to classify triangles by their side properties or their angle properties. They should learn how to construct angles with a protractor as well as understand the coordinate grid on a map.
Students should be able to find the missing value when given an equation that involves a single operation. 5th grade math will teach a child to create surveys for gathering data. They need to be able to recognize the different types of graphs and be able to recognize which graph type would best represent their data.