Evaluation for 3.2a
Materials include explicit (direct) prompts and guidance for educators to build knowledge by activating prior knowledge, anchoring big ideas, and highlighting and connecting key patterns, features, and relationships through multiple means of representation.
Materials provide direct guidance for educators and students that build knowledge by activating prior knowledge, anchoring big ideas, and highlighting and connecting key patterns, features, and relationships through multiple means of representation within lessons. For example, in the lesson "Trigonometric Ratios," instruction begins by introducing sine, cosine, and tangent using a labeled triangle to visually represent the hypotenuse, opposite, and adjacent sides as a connection to prior knowledge. The lesson presents the ratios symbolically using ratio notation. Building on these patterns, the lesson introduces the reciprocal ratios (cosecant, secant, and cotangent) by connecting sine to cosecant, cosine to secant, and tangent to cotangent. The relationships are reinforced through multiple representations, including the labeled triangle, symbolic notation, and side-by-side graphics comparing each ratio to its reciprocal. This approach activates prior knowledge, anchors the big idea of trigonometric ratios, and highlights the consistent patterns and features of right triangles. Materials provide guidance for educators and students by highlighting features, patterns, and relationships through multiple means of representation. For example, in the "Skill" practice "U.4 Surface Area of Prisms and Cylinders," students engage with an example involving lateral triangles through a hyperlink. The concept is introduced using both textual and pictorial representations. By clicking on the "surface area" link, students access additional representations, including nets. The instructional sequence begins with a definition, progresses to a labeled pictorial representation, and returns to a net of prisms to reinforce conceptual understanding. No explicit (direct) prompts are present in the materials for educators to build knowledge by activating prior knowledge, anchoring big ideas, or highlighting and connecting key patterns, features, and relationships through multiple means of representation.