The Math Content Team is excited to announce our newest release of 8th grade EOG sample questions. The new release targets standards that needed refreshing with newer content. In all, nine Common Core standards were updated:
- 4 – Expressions and Equations standards
- 4 – Geometry standards
- 2 – The Number System standards
- 3 – Functions standards
- 2 – Statistic and Probability standards
Sample tasks that students are asked to complete:
- Determine if the given point(s) lie on the equation of a line.
- Identify the equation of the line for its graph.
- Convert a repeating decimal into a fraction in order to simplify numerical expressions.
- Find the sum of all integers between two irrational numbers.
- Find the distance between two points on a number line that are expressed in terms of an irrational number.
- Simplify numerical expressions using the properties of exponents.
- Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph.
- Analyze and solve pairs of simultaneous linear equations.
- Compare properties of two functions expressed in different ways.
- Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates.
- Apply the Pythagorean Theorem to determine unknown side lengths in right triangles and to find the distance between two points in a coordinate system.
- Describe patterns such as clustering, outliers, positive or negative association, linear association, and nonlinear association.
- For scatter plots that suggest a linear association, informally fit a straight line, and informally assess the model fit by judging the closeness of the data points to the line.
- Derive the equation of a line in slope-intercept form.
- Understand that a function is a rule that assigns to each input exactly one output.
- Use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles.