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5-A-2-2

Page history last edited by Brenda Butz 6 years, 2 months ago

5.A.2.2 Determine whether an equation or inequality involving a variable is true or false for a given value of the variable.

In a Nutshell

In objective 5.A.2.2, students will evaluate expressions and solve equations involving a variable when the value of the variable is given. Students will determine if a given equation or expression is true or false when the value is calculated. In fourth grade, they become familiar with unknowns. In fifth grade will be the first time the vocabulary “inequality” is introduced.

Student Actions	Teacher Actions
Develop the ability to make conjectures, model, and generalize by using concrete models, then progress to representing equalities and inequalities with words, stating "equal, greater than, and less than." Develop a productive mathematical disposition by justifying their solutions and determinations of whether an equation involving inequalities is true or false when the value of the variable is given. Develop mathematical reasoning by evaluating potential models to determine which would be most useful and efficient to solve inequality problems involving variables. Develop a Deep and Flexible Conceptual Understanding by identifying and understanding the role of constants and variables in formulas and patterning rules.	Use and connect mathematical representations by modeling how to create a numerical representation including an equal sign. Facilitate mathematical discourse with activities about appropriate use of the equal and inequality signs, such as using True- False statements and open-ended statements. Implement tasks that promote reasoning and problem solving with the use of developmentally and content- appropriate mathematical model for variables.
Key Understandings	Misconceptions
Replace a variable with a given value and solve. Represent a value using different variables, typically a letter representing a number, but understand it can be represented by any symbol. Reason whether the given variable makes the equation true or false.	Think letters are only used as abbreviations EX. 6m meaning 6 meters Think a letter represents a digit in a number EX. 6r where r=8 is 68 Think that numbers on the left of the equation have the operation followed by the equals sign and the answer on the right. If the answer is on the left followed by the equals sign and the operation is on the right, it is backwards and can't be solved (c = a+b) Reading the equality sign as “makes” instead of a balancing symbol without considering what is on the other side of the equation EX. 9 + 10 = x + 9 as 9 + 10 = 19