Middle School Multiplication and Division Goals

• Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation. CCSS.MATH.CONTENT.6.NS.B.3

• There are a lot of good worksheets to use for a baseline. Here are a few!
  • Option 1
  • Option 2
  • Option 3
  • Option 4

Given a multiplication chart, Leonardo can solve multi-digit by single-digit multiplication problems without decimals with 70% accuracy and long division problems with no remainder with 80% accuracy. He needs teacher support to do computations with decimals and, independently, has under 30% accuracy.

• Given a multiplication chart, Name will fluently multiply and divide multi-digit decimals to tenths using the standard algorithm for each operation with 80% accuracy as measured by teacher records and observations CCSS.MATH.CONTENT.6.NS.B.3

• Make it easier: Focus on just multiplication or specify one digit divisors for the division.
• Make it harder: Change the decimals from tenths to hundredths or take away the multiplication chart.

• Apply properties of operations as strategies to multiply and divide rational numbers. CCSS.MATH.CONTENT.7.NS.A.2.C

• Multiplying and dividing negative numbers, no decimals or fractions
• Multiplying and dividing negative numbers with fractions and decimals

Susan can solve multi-digit by multi-digit multiplication problems and long division problems with no remainders and a one digit quotient with 75% accuracy if she is given a multiplication chart. She needs more support with multiplying and dividing decimals and negative numbers, solving those problems with 40% accuracy.

• Given a multiplication chart, Name will apply properties of operations as strategies to multiply and divide rational numbers, solving multi-digit multiplication and one-digit divisor division problems with positive and negative numbers with 80% accuracy as measured by teacher records and observations CCSS.MATH.CONTENT.7.NS.A.2.C

• Make it easier: Focus on just multiplication or provide the student with a calculator.
• Make it harder: Add in decimals or fractions.

• Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. Use scientific notation and choose units of appropriate size for measurements of very large or very small quantities (e.g., use millimeters per year for seafloor spreading). Interpret scientific notation that has been generated by technology CCSS.MATH.CONTENT.8.EE.A.4

• Multiplying and dividing with scientific notation, with explanations
• Multiplying and dividing decimals

Mike is proficient at solving two-digit by one-digit multiplication problems with whole numbers and long division problems with no remainders. Mike needs support with multiplying decimals and does not yet know how to multiply exponents.

• Given a multiplication chart and notes on how to multiply exponents, Name will perform operations with numbers expressed in scientific notation, solving multiplication problems with decimals to tenths and positive exponents with 80% accuracy as measured by teacher records and observations CCSS.MATH.CONTENT.8.EE.A.4

• Make it easier: Focus on just decimals, removing mentions of scientific notation. Both are in the standard! Provide the student with a calculator.
• Make it harder: Add division.