Grade 5 - Products and Quotients With Decimals Unit
The Products and Quotients with Decimals Unit involves using patterns and place value to develop strategies to multiply and divide decimals. Questions to answer may include:
- How are the properties of place value (additive, multiplicative, base-ten & positional) useful in developing efficient procedures for multiplying and dividing decimals?
- How can mental math, rounding, and/or the use of compatible numbers help to determine whether a solution is reasonable?
- Given an equation involving finding products and/or quotients with decimals, how can you create a situation to match it?
Math Concepts and Skills:
The student designs and uses strategies for positive rational number computation in order to solve problems.
The student is expected to:
- represent multiplication of decimals with products to the hundredths place using objects and pictorial models such as area models.
- solve problems with products of decimals to the hundredths place using a variety of strategies such as methods based on the understanding of place-value, properties of operations, and multiplying whole numbers.
- represent and solve problems with quotients of decimals to the hundredths place, up to four-digit dividends and two-digit whole number divisors, using objects, pictorial models—such as area models—and a variety of strategies.
Summative Assessment Task
Students determine how many miles a teacher rides her motorcycle to school and back home again. Students also determine if the teacher stays within her gas budget if she rides to school and back five days a week for four weeks.
Instructional Tasks/Formative Assessments
Students determine which of two stores is offering the better buy on plastic plates.
Students determine how much money is earned for an end of the year field trip.
Students determine how much money three girls spent on their individual insect collections.
Students determine who will save more money at a buy-one-get-one-half-off sale on baseball jerseys.