Algebraic Expressions and Properties

Essential Question:

How does understanding and simplifying algebraic expressions, along with recognizing parts of an expression, enable us to solve problems more efficiently in both mathematical and real-world contexts?

Portrait of a Graduate:

Critical Thinking: Analyze and simplify complex algebraic expressions to uncover solutions to mathematical and real-world problems.

Communication: Clearly articulate the process of simplifying expressions and solving equations, demonstrating an understanding of algebraic concepts.

Responsibility: Take ownership of their learning by persistently engaging with challenging algebraic concepts and striving for accuracy in their solutions.

Collaboration: Work together to share strategies for simplifying expressions and solving algebraic problems, leveraging peer insights for deeper understanding.

Inquiry Question:

How does simplifying algebraic expressions change the way we approach and solve equations and inequalities?

2. Inquiry Question:

In what ways do the parts of an algebraic expression (like terms, coefficients, and constants) affect its simplification and manipulation?

3. Inquiry Question:

How can identifying and applying algebraic properties (commutative, associative, distributive) simplify expressions to solve real-world problems?

Student Outcomes:

Students will be able to simplify algebraic expressions by combining like terms and applying the distributive property effectively.

2. Student Outcomes:

Students will accurately identify the different parts of an algebraic expression and understand their role in simplification and problem solving.

3. Student Outcomes:

Students will apply algebraic properties to simplify expressions and solve equations, demonstrating their understanding through the successful resolution of real-world scenarios.

Skills Demonstrated:

Students are able to convert quantitative problems that use words into mathematical expressions.

Standards:

CCSS.MATH.CONTENT.6.EE.A.2 (Apply and extend previous understandings of arithmetic to algebraic expressions.)

CCSS.MATH.CONTENT.6.EE.A.2.A (Write expressions that record operations with numbers and with letters standing for numbers.)

CCSS.MATH.CONTENT.6.EE.A.2.C (Evaluate expressions at specific values of their variables. Include expressions that arise from formulas used in real-life situations.)

CCSS.MATH.CONTENT.6.EE.A.3 (Apply the properties of operations to generate equivalent expressions.)

CCSS.MATH.CONTENT.6.EE.A.4 (Identify when two expressions are equivalent.)

Resources:

[Our Hidden Google Drive Resource link]

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