3-28-2012 One Variable Equations and Inequalities

Teching the CCCS for Grade 6 Mathematics

STRAND	CPI	SKILLS	Resources
Expressions & Equations	The goal: Students will be able to apply and extend previous understandings of arithmetic to algebraic expressions, reason about and solve one-variable equations and inequalities, and represent and analyze quantitative relationships between dependent and independent variables.	More specifically, students will understand the use of variables in mathematical expressions. They write expressions and equations that correspond to given situations, evaluate expressions, and use expressions and formulas to solve problems. Students will understand that expressions in different forms can be equivalent, and they will use the properties of operations to rewrite expressions in equivalent forms. Students will learn that the solutions of an equation are the values of the variables that make the equation true. Students will use properties of operations and the idea of maintaining the equality of both sides of an equation to solve simple one-step equations. Students will construct and analyze tables, such as tables of quantities that are in equivalent ratios, and they use equations (such as 3x = y) to describe relationships between quantities.	Algebraic Reasoning Algebra Algebra Games Math By Design Maths Masters Algebra Virtual Manipulatives Exploriments
Reason about and solve one-variable equations and inequalities.	Word problem practice
	Understand solving an equation or inequality as a process of answering a question: which values from a specified set, if any, make the equation or inequality true? Use substitution to determine whether a given number in a specified set makes an equation or inequality true.		Introduction to Equations and More 1 Step Equations (add and subtract) One Variable, One Step Equation Games 1 Step Equations (divide) 2 Step Equations Order of Operations
	Use variables to represent numbers and write expressions when solving a real-world or mathematical problem; understand that a variable can represent an unknown number, or, depending on the purpose at hand, any number in a specified set.		Algebra vs. The Cockroaches Weigh the Wangdoodles
	Solve real-world and mathematical problems by writing and solving equations of the form x + p = q andpx = q for cases in which p, q and xare all nonnegative rational numbers.		Number Cruncher and Whole Number Cruncher
	Write an inequality of the form x > cor x < c to represent a constraint or condition in a real-world or mathematical problem. Recognize that inequalities of the form x > c or x< c have infinitely many solutions; represent solutions of such inequalities on number line diagrams.		Inequalities and Simultaneous Equations Solving Inequalities