Grade 7 Accelerated

Students explore translations, rotations, and reflections of plane figures in order to understand the structure of rigid transformations, and use the properties of rigid transformations to formally define what it means for shapes to be congruent.

Students study scaled copies of plane figures and scale drawings of real-world objects, extend their work to dilations and similarity, and use similar triangles to understand slope and write equations for lines.

Students write and solve equations of the forms p(x+q)=r and px+q=r and inequalities of the forms px+q>r and p(x+q)<r, building on grade 6 work with one-step equations.

Students write equivalent expressions and use reasoning to solve linear equations, including those with a variable on both sides of the equal sign and equations with 0, 1, or infinite solutions.

Students study proportional and non-proportional linear relationships, solve systems of linear equations graphically and algebraically, and use scatter plots and lines of fit to analyze numerical and categorical data.

Students are introduced to functions as relationships between inputs and outputs, then apply functions to find volumes and surface areas of prisms, cylinders, cones, and spheres.

Students deepen their understanding of exponents, generalize exponent rules, work with very large and small numbers, and use scientific notation to compute and compare quantities.

Students develop the concepts of square roots, cube roots, irrational numbers, and the Pythagorean Theorem, applying them to two- and three-dimensional problems and to distances in the coordinate plane.

Students apply concepts and skills from previous units to solve problems involving tessellations, running a restaurant, Fermi-style estimation, deforestation, and predicting temperature.