⭐ Connecting Equations and Inequalities to Essential Key Concepts ⭐️
Exploring Equations & Inequalities offers authentic opportunities to revisit the Essential Key Concept of Operational Sense:
B2.1 → Use properties of operations and relationships between operations
When students rearrange "x + 9 = 14" to "14 - 9 = x", they explicitly apply inverse and commutative properties to solve for x, strengthening their operational sense
C2. Equations and Inequalities: demonstrate an understanding of variables, expressions, equalities, and inequalities, and apply this understanding in various contexts
C2.1 identify and use symbols as variables in expressions and equations
C2.2 solve equations that involve whole numbers up to 50 in various contexts, and verify solutions
C2.3 solve inequalities that involve addition and subtraction of whole numbers up to 20, and verify and graph the solutions
C3.1 solve problems and create computational representations of mathematical situations by writing and executing code, including code that involves sequential, concurrent, repeating, and nested events
C3.2 read and alter existing code, including code that involves sequential, concurrent, repeating, and nested events, and describe how changes to the code affect the outcomes
Process Expectation Focus: Reasoning and Proving, Problem Solving
During this topic, pay attention to the students' ability to build relationships and communicate effectively.
How do students respond to feedback, questions or prompts from the teacher and their peers?
Do students build on each others’ thinking?
Do students use supportive ‘math talk’ language?
Concrete Learning Resources Tools:
algebra tiles
number lines
tape diagrams
Virtual Learning Resources and Tools:
Online visual practice with balancing equations: