Expressions and Equations
Develop an understanding of algebraic expressions, solve simple equations and inequalities, and analyze quantitative relationships between two variables.
In this lesson, students apply and extend previous understandings of arithmetic to algebraic expressions. Student reason about and solve one-variable equations and inequalities. Students also learn to represent and analyze quantitative relationships between dependent and independent variables.
Write, read, and evaluate expressions in which letters stand for numbers. View one or more parts of an expression as a single entity. Evaluate expressions at specific values of their variables.
Apply the properties of operations to identify and generate equivalent expressions.
Use variables and expressions to represent real world problems. Solve real-world and mathematical problems by writing and solving simple equations. Also, solve simple inequalities.
Use variables to represent two quantities in a real-world problem that change in relationship to one another; analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation.
Knowing Mathematical Expressions
Basic Expressions
Here Come The Letters
Use of Variables
One Expression for All
Patterns
Algebraic Expressions
Algebraic Expressions
Parts of Expressions
Parts of Expressions
Forming Expressions
Forming Expressions
Forming Equivalent Expressions
Introductory Questions
Distributive Law
Negative Addition
Indices
Questions on Indices
Equations
Introducing Equations
Laws of Equality
Using Multiplicative Law of Equality
Solving equations
More equations
Relating one quantity with other
The concept of greater and smaller
Equations relating quantities
How are inequalities formed?
Inequalities
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