Illustrative Math Alignment: Grade 7 Unit 7
Expressions, Equations, and Inequalities
Lesson 2: Reasoning about Contexts with Tape Diagrams
Use the following Media4Math resources with this Illustrative Math lesson.
| Thumbnail Image | Title | Body | Curriculum Topic |
|---|---|---|---|
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Video Definition 6--Equation Concepts--Conditional Equation | Video Definition 6--Equation Concepts--Conditional Equation
TopicEquations DescriptionA Conditional Equation is true only for specific variable values. Examples include x + 1 = 4 (x = 3), x2 - 25 = 0 (x = ±5), and 2x - 5 = x + 9 (x = 14). This term supports solving equations by emphasizing that solutions depend on satisfying the given conditions. |
Applications of Equations and Inequalities |
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Video Definition 7--Equation Concepts--Constant Term | Video Definition 7--Equation Concepts--Constant Term
TopicEquations DescriptionA Constant Term in an algebraic equation is a number without a variable. Examples include 2 in x2 + 3x + 2 = 0, -10 in x3 - 2x2 + 4x - 10 = 0, and 5 in x4 - 2x3 + 4x2 - x + 5 = 0. This term explains the role of constants in equations, crucial for identifying and isolating terms when solving equations. |
Variables and Unknowns |
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Video Definition 8--Equation Concepts--Division Property of Equality | Video Definition 8--Equation Concepts--Division Property of Equality
TopicEquations DescriptionThe Division Property of Equality allows division by the same non-zero quantity on both sides of an equation, maintaining equality. For example, if a = b, then a / c = b / c, where c ≠ 0. Solving 5x = 15 yields x = 3 by dividing both sides by 5. This term builds on equality principles, showing another method to isolate variables and solve equations. |
Applications of Equations and Inequalities |
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Video Definition 9--Equation Concepts--Equality | Video Definition 9--Equation Concepts--Equality
TopicEquations DescriptionEquality refers to a mathematical statement where two expressions are equal. Examples include 1 + 2 = 3 and x + 3 = 7, where both sides represent the same value. This term defines the core concept of equations, ensuring all manipulations preserve equality to find solutions. |
Applications of Equations and Inequalities |
