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.