Unit 2 Multiplication And Division

Essential Questions

  • EQ1 What strategy am I using to solve the problem? Does it work? Is there another way to solve it?

  • EQ2 How do mathematical operations relate to each other?

  • EQ3 How do I know when I need an exact answer or an estimate?

Students will independently use their learning to…

  • Solve problems in everyday life by applying their understanding of numbers and operations.

Students will understand that…

  • There are multiple strategies and methods for finding an accurate mathematical solution.

  • The relationship among the operations and their properties promote computational fluency.

  • The context and numbers determine the strategies used to make estimations.

Students will know…

  • how multiplication and division are used to solve problems.

  • multiplication and division algorithms and strategies.

  • how place value helps in estimating or rounding.

  • multiplication and division problems can be represented using models and pictures

  • numbers can be rounded to approximate their value.

  • a variety of strategies for finding products and quotients based upon place value and properties of operations.

  • perfect squares are numbers that can be represented as a square array.

  • multiplication and division are inverse operations.

  • interpret the remainder of a quotient to solve problems.

Students will be skilled at…

  • using the relationship between multiplication or division to solve problems.

  • modeling multiplication and division problems involving whole numbers using objects and pictorial models (arrays and area models).

  • using strategies including mental math, place value, partial products, and properties of operations to solve multiplication and division problems.

  • multiplying by 10 or 100 by using place value understanding and properties of operations:

  • 10 x 324 = (300 + 20 + 4) x 10 = (10 x 300) + (10 x 20) + ( 10 x 4) = 3000 + 200 + 40 = 3240

  • connecting strategies to the standard algorithms for multiplication and division.

  • multiplying and dividing whole numbers fluently.

  • finding the product of perfect squares through 15 x 15.

  • using compatible numbers to estimate solutions.

  • describing an array with an equation that includes the factors as length and the product as the area.

  • evaluating solutions for reasonableness.

  • solving one- and two-step problems based on everyday situations.

  • interpreting the remainder in a division problem.

  • applying the mathematical process standards.