Determining if a Relationship is a Functional Relationship
The student is expected to gather and record data & use data sets to determine functional relationships between quantities.
Graphing Dilations, Reflections, and Translations
Given a coordinate plane, the student will graph dilations, reflections, and translations, and use those graphs to solve problems.
Graphing and Applying Coordinate Dilations
Given a coordinate plane or coordinate representations of a dilation, the student will graph dilations and use those graphs to solve problems.
Finding the Probabilities of Dependent and Independent Events
Given problem situations, the student will find the probability of the dependent and independent events.
Recognizing Misuses of Graphical or Numerical Information
Given a problem situation, the student will analyze data presented in graphical or tabular form by evaluating the predictions and conclusions based on the information given.
Evaluating Methods of Sampling from a Set of Data
Given a problem situation, the student will evaluate a method of sampling to determine the validity of an inference made from the set of data.
Determining Slopes from Equations, Graphs, and Tables
Given algebraic, tabular, and graphical representations of linear functions, the student will determine the slope of the relationship from each of the representations.
Demonstrating the Pythagorean Theorem
Given pictures or models that represent the Pythagorean Theorem, the student will demonstrate an understanding of the theorem.
Using Geometric Concepts and Properties to Solve Problems
Given pictorial representations, the student will use geometric concepts and properties to solve problems from art and architecture.
Using Proportional Relations to Find Missing Measurements of Two-Dimensional Figures
Given pictorial representations and problem situations of 2-dimensional figures or 3-dimensional figures, the student will use proportional reasoning to find a missing measurement.
Using Rational Numbers to Solve Problems
Given a problem situation in verbal form, students will select and use an operation involving rational numbers in order to solve the problem.
Selecting and Using Appropriate Forms of Rational Numbers
Given real-life problems, the student will select an appropriate method and solve problems involving proportional relationships.
Exploring Probability with Dependent Events
The student will investigate and develop the concept of dependent probability, including formalizing procedures related to dependent probability and applications of dependent probability.
Finding Lateral and Total Surface Area
Given concrete models and nets (2-dimensional models) of prisms, pyramids, and cylinders, the student will find and determine the lateral and total surface area.
Evaluating Solutions for Reasonableness
Given problem situations, the student will determine if the solutions are reasonable.
Predicting, Finding, and Justifying Solutions to Problems
Given application problems, the student will use appropriate tables, graphs, and algebraic equations to find and justify solutions to problems.
Graphing Proportional Relationships
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.
Analyzing Scatterplots
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.
Writing Geometric Relationships
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.
Solutions of Simultaneous Equations
Given a graph of two simultaneous equations, students will be able to interpret the intersection of the graphs as the solution to the two equations.