The Four Operations and Algebraic Thinking, Grades 5-6 Workbook

The Four Operations and Algebraic Thinking, Grades 5-6 Workbook covers the order of operations, simple equations and expressions, long multiplication, and long division. The main line of thought throughout this workbook is that of a mathematical expression. In mathematics, an expression consists of numbers, letters, and operation symbols, but does not contain an equal sign (an equation does). Students write simple expressions for problems they solve. They study the correct order of operations in an expression. An equation in mathematics consists of an expression that equals another expression (expression = expression). We study simple equations, both with the help of visual bar models and also without. Bar models are also used for simple multiplication and division equations.Next, we review multi-digit multiplication (multiplying in columns), starting with multiplying in parts (partial products) and how that can be visualized geometrically. Then it is time for long division, especially practicing long division with two-digit divisors. We also study why long division works, in the lesson Long Division and Repeated Subtraction. All along there are also word problems to solve. Read more