The Shapes of Algebra was designed to help students capitalize on the strong connections between algebra and geometry in order to extend students understanding and skill in several significant aspects of those two key strands in the middle grades curriculum.
- Create and use equations of circles
- Determine if lines are parallel or perpendicular by looking at patterns in their graphs, vertex coordinates, and equations
- Find midpoints of line segments and use midpoint relationships to deduce further properties of triangles and quadrilaterals
- Write inequalities that satisfy given situations
- Find solutions to inequalities when given a graph or an equation
- Solve linear systems and find intersections of lines and equations through graphing, combination, and substitution
- Choose strategically among the three algebraic methods studied, which to use for a particular system of linear equations
- Write linear inequalities in two variables to match constraints in problem conditions
- Graph linear inequalities in two variables and systems of such conditions and use the results to solve problems
