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⭐ Connecting Geometric Reasoning to Essential Key Concepts ⭐️
Exploring Geometric Reasoning offers authentic opportunities to revisit the Essential Key Concepts of Fractional Reasoning and Decimal Reasoning and Operations:
B1.3 → Represent equivalent fractions from halves to twelfths, including improper fractions and mixed numbers
When comparing angles, students recognize that a 120° angle is two-thirds of a straight angle (180°), using fractional reasoning to explain equivalence in geometric terms
B1.7 → Equivalence among fractions, decimal numbers up to hundredths, and percents
When constructing shapes like triangles with given side lengths, studentrs translate between fractional partitions (e.g., 0.25 of a segment for a right triangle) and decimal measures
B2.1 → Solve problems involving whole numbers and decimal numbers and check calculations
In constructing congruent triangles, students calculate side lengths by adding, subtracting, or halving decimal measurements, and check their work by verifying that sums or differences align with given dimensions
Expectation Cluster
Expectation Cluster
E1.1 identify geometric properties of triangles, and construct different types of triangles when given side or angle measurements
E1.2 identify and construct congruent triangles, rectangles, and parallelograms
E1.3 draw top, front, and side views of objects, and match drawings with objects
E2 compare, estimate, and determine measurements in various contexts
E2.3 compare angles and determine their relative size by matching them and by measuring them using appropriate non-standard units
E2.4 explain how protractors work, use them to measure and construct angles up to 180°, and use benchmark angles to estimate the size of other angles
Related Mathematical Processes: Reasoning and Proving, Connecting
Organize your observations of student learning related to the key concepts and skills for this topic:
Explore a menu of possible MathUP lessons, Building Fluency lessons, problems, explorations and games.
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?
Models and Tools
Models and Tools
Concrete Learning Resources Tools:
rulers
protractors
miras
tracing paper
linking cubes
grid paper
Virtual Learning Resources and Tools:
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