Mathematics 6. Add, subtract, multiply, and divide decimals using a standard algorithm.
Unpacked Content
Evidence Of Student Attainment:
Students:
Given a context which calls for complex computation involving multi-digit decimals,
Choose the most appropriate strategy for computing the answer.
Produce accurate results efficiently using a standard algorithm for each operation when appropriate. Teacher Vocabulary:
Standard algorithms (addition, subtraction, multiplication, and division)
Quotient
Sum
Product
Difference
Tenths
Hundredths
Thousandths
Ten thousandths
Hundred thousandths Knowledge:
Students know:
Place value conventions (i.e., a digit in one place represents 10 times as much as it would represent in the place to its right and 1/10 of what it represents in the place to its left).
Strategies for computing answers to complex addition, subtraction, multiplication, and division problems involving multi-digit decimals, including a standard algorithm for each operation. Skills:
Students are able to:
Strategically choose and apply appropriate computation strategies.
Accurately find sums, differences, products, and quotients using the standard algorithms for each operation. Understanding:
Students understand that:
Place value patterns and values continue to the right of the decimal point and allow the standard algorithm for addition and subtraction to be applied in the same manner as with whole numbers.
Mathematical problems can be solved using a variety of strategies, models, and representations. Efficient application of computation strategies is based on the numbers and operations in the problem.
The steps used in the standard algorithms for the four operations can be justified by using properties of operations and understanding of place value.
Among all techniques and algorithms that may be chosen for accurately performing multi-digit computations, some procedures have been chosen with which all should be fluent for efficiency, communication, and use in other mathematics situations. Diverse Learning Needs:
Essential Skills:
Learning Objectives: M.6.6.1: Solve division problems involving multi-digit whole numbers and decimal numbers with or without a calculator.
M.6.6.2: Solve multiplication problems involving multi-digit whole numbers and decimal numbers with or without a calculator.
M.6.6.3: Recall basic multiplication and division facts.
M.6.6.4: Solve addition and subtraction of multi-digit decimal numbers (emphasis on alignment).
M.6.6.5: Solve addition and subtraction of multi-digit whole numbers.
M.6.6.6: Recognize place value of whole numbers and decimals.
M.6.6.7: Demonstrate addition, subtraction, multiplication, and division of whole numbers and decimals using manipulatives.
Prior Knowledge Skills:
Recall basic multiplication facts.
Recall basic addition, subtraction, multiplication, and division facts.
Use place value understanding to round whole numbers to the nearest 10 or 100.
Identify place value of decimals to the tenths and hundredths.
Recall basic addition and subtraction facts.
Recall basic addition and subtraction facts.
Recall basic addition, subtraction, and multiplication facts.
Multiply within 100, using strategies such as the relationship between multiplication and division.
Multiply within 100, using strategies such as properties of operations.
Divide within 100, using strategies such as properties of operations.
Divide within 100, using strategies such as the relationship between multiplication and division.
Add and subtract within 1000.
Alabama Alternate Achievement Standards
AAS Standard:
