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Saturday, November 05, 2016

Math Unit Two: Powers of Ten and Multiplication of Whole Numbers

Our school system scope and sequence focuses on the Powers of Ten and Multiplication of Whole Numbers using the traditional U. S. algorithm for multiplication. It is our charge to help all children master these concepts.

The general path that students will take to achieve this includes the following:

Review of Facts and Multiples
For home study students will complete a fairly simple fact review packet that focuses on factor pairs, related arrays, multiples, and number vocabulary.

Patterns with Powers of Ten
Students will review pattern vocabulary and ways to analyze patterns as they study the Powers of Ten.

Powers of Ten Expressions and Equations
Students will evaluate and create expressions and equations that include Powers of Ten, whole numbers, and decimal numbers.

Patterns of Ten Patterns When Multiplying and Dividing
Students will look closely at the Powers of Ten patterns that occur when multiplying whole numbers and decimal numbers. Specifically students will notice that when we multiply with positive powers of ten, numbers increase by the number of places equal to the exponent, and when we divide with positive powers of ten, numbers decrease by the number of places equal to the exponent.

Multiplying with Multiples of 10
We'll look at the patterns that emerge when we multiply by multiples of 10 by whole numbers and decimal numbers. We'll discuss why these patterns occur.

Review of All Factor Pairs for Numbers 0-144
Students will look for patterns that occur as they study these numbers.

Review of Estimation in Relation to Multiplication
We'll discuss why and how people estimate with multiplication when trying to get to an estimated product.

Review of U.S. Traditional Algorithm for Multiplication
We'll study this beginning with simple numbers and building up to 3-digit X 3-digit and 4-digit X 2-digit multiplication problems.

Multiplication Assessment
Students will take a multiplication assessment.

The path is set, and now it's time to prepare the materials, teach, and revise as needed according to students' learning interests, questions, and needs.