|Second Look - Connecting Geometry and Algebra|
The Leap from Patterns to Formulas
Geometric problems help students progress from predicting numerical patterns to expressing algebraic generalizations.
Promoting Algebraic Reasoning Using Students' Thinking
A lesson in which students' thinking about geometric patterns can be used to help them develop algebraic reasoning and to make sense of mathematical notation and symbols.
All These Rays! What’s the Point?
Teacher candidates move beyond “Just give me a formula” to a deeper understanding by exploring the algebra found in geometric models.
Illuminations Lesson: Algebraic Transformations
Students create a shape sorter and consider all possible moves
that will return a shape to its original position. They investigate the results
when two of these moves are performed consecutively, to learn about the
commutative and associative properties.
Connections Standard - Pre-K through Grade 12
When students can connect mathematical ideas, their understanding is deeper and more lasting. They can see mathematical connections in the rich interplay among mathematical topics, in contexts that relate mathematics to other subjects, and in their own interests and experience. Through instruction that emphasizes the interrelatedness of mathematical ideas, students not only learn mathematics, they also learn about the utility of mathematics.