CCSS:
7.NS.1. Apply properties of operations as strategies to add, subtract, factor,
and expand linear expressions with rational coefficients.
7.NS.4. Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities. a. Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach.
8th: Students continue to practice vocabulary and notation related to rigid motions (e.g., transformation, image, and map). Students map a rigid motion that moves or maps one figure to another figure in the plane. Students understand that a translation, reflection, or rotation preserves congruence.
CCSS:
8.G.Understand congruence and similarity using physical models, transparencies, or geometry software. 1. Verify experimentally the properties of rotations, reflections, and translations: a. Lines are taken to lines, and line segments to line segments of the same length. b. Angles are taken to angles of the same measure. c. Parallel lines are taken to parallel lines. 2. Understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations; given two congruent figures, describe a sequence that exhibits the congruence between them.
