Math 8 periods 1,2, 5 and 6
Topics to be covered:
- 8.1.1 Translate among contextual, tabular, graphical, and algebraic representations of linear functions.
- 8.1.2 Determine the slope of a line and understand that it is a constant rate of change.
- 8.1.3 Identify and interpret the properties (i.e. slope, intercepts, continuity, and discreteness) of linear relationships as they are shown in the different representations and recognize proportional relationships (y/x = k or y = kx) as a special case.
- 8.1.4 Use linear functions and equations to represent, analyze, and solve problems, and to make predictions and inferences.
- 8.1.5 Relate systems of two linear equations in two variables and their solutions to pairs of lines that are intersecting, parallel, or the same line.
- 8.1.6 Use informal strategies (e.g. graphs or tables) to solve problems involving systems of linear equations in two variables.
- 8.2.1 Organize and display data (e.g. histograms, box-and-whisker plots, scatter plots) to pose and answer questions;and justify the reasonableness of the choice of display.
- 8.2.2 Use measures of center and spread to summarize and compare data sets.
- 8.2.3 Interpret and analyze displays of data and descriptive statistics.
- 8.2.4 Compare descriptive statistics and evaluate how changes in data affect those statistics.
- 8.2.5 Describe the strengths and limitations of a particular statistical measure, and justify or critique its use in a given situation.
- 8.2.6 Use sample data to make predictions regarding a population.
- 8.2.7 Identify claims based on statistical data and evaluate the reasonableness of those claims.
- 8.2.8 Use data to estimate the likelihood of future events and evaluate the reasonableness of predictions
Lines and Angles
- 8.3.1 Use properties of parallel lines, tranversals, and angles to find missing sides and angles, and to solve problems including determining similarity or congruence of triangles.
- 8.3.2 Use models to show that the sum of the angles of any triangle is 180 degrees and apply this fact to find unknown angles.
- 8.3.3 Use models and logical arguments to show that the sum of the angles of any quadrilateral is 360 degrees, and apply this fact to find unknown angles.
- 8.3.4 Use models to explore the validity of the Pythagorean Theorem, and use it to find missing lengths.
- 8.3.5 Apply the Pythagorean Theorem to find the distance in a variety of 2- and 3-dimsensional contexts, including the distances on coordinate graphs.
- 8.3.6 Use models and referents to explore and estimate square roots.