Given conjectures about quadrilaterals, the student will use deductive reasoning and counterexamples to prove or disprove the conjectures.

ESTAR II intervention modules are designed for students in grades 3 and 4. A total of eight modules containing lessons, student books, and teacher masters are available for download.

These intervention modules are designed to supplement core instruction and develop the conceptual understanding and procedural knowledge of algebra-readiness skills.

Given similar figures, the student will use critical attributes to define similarity.

Given a pair of similar figures, including dilations, students will be able to generalize that the lengths of corresponding sides are proportional.

Given a proportional relationship, students will be able to graph a set of data from the relationship and interpret the unit rate as the slope of the line.

Given a set of data, the student will be able to generate a scatterplot, determine whether the data are linear or non-linear, describe an association between the two variables, and use a trend line to make predictions for data with a linear association.

Given information in a geometric context, students will be able to use informal arguments to establish facts about the angle sum and exterior angle of triangles, the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles.

Given a problem situation, students will use experimental data or theoretical probability to make predictions and determine solutions to situations involving independent events.

Given problem situations that include given or collected data, the student will analyze the data and make inferences and convincing arguments based on the data.

Given a problem, the student will use concrete and pictorial models to solve equations and use symbols to record their actions.

Given composite figures (combinations of rectangles, squares, parallelograms, trapezoids, triangles, semicircles, and quarter circles), students will be able to determine expressions for the area as well as calculate the area of the figure.

Given problem situations, students will be able to estimate and solve for area of polygons and other shapes.

Given problem situations involving prisms, student will be able to estimate and solve for volume.

Given problem situations involving rational numbers, the student will select and use appropriate methods to solve the problems.

Students will explore volume conjectures and solve problems by applying  the volume formulas to composite figures.

Students will distinguish between undefined terms, definitions, postulates, conjectures, and theorems and investigate patterns to make conjectures about geometric relationships.

Given statements about a geometric relationship, the student will use counter examples to disprove statements that are false.

Students will practice identifying the converse, inverse, and contrapositive of conditional statements.

Given statements about a geometric relationship, the student will distinguish between the undefined terms, definitions, postulates, conjectures, and theorems to prove the statements are true.