Using Theoretical and Experimental Probability to Make Predictions
Given an event to simulate, the student will use theoretical probabilities and experimental results to make predictions and decisions.
Developing the Concept of Slope
Given multiple representations of linear functions, the student will develop the concept of slope as a rate of change.
Using Multiplication by a Constant Factor
Given problems involving proportional relationships, the student will use multiplication by a constant factor to solve the problems.
Generating Different Representations of Relationships
Given problems that include data, the student will generate different representations, such as a table, graph, equation, or verbal description.
Predicting, Finding, and Justifying Data from a Table
Given data in table form, the student will use the data table to interpret solutions to problems.
Predicting, Finding, and Justifying Data from a Graph
Given data in the form of a graph, the student will use the graph to interpret solutions to problems.
Approximating the Value of Irrational Numbers
Given problem situations that include pictorial representations of irrational numbers, the student will find the approximate value of the irrational numbers.
Expressing Numbers in Scientific Notation
Given problem situations, the student will express numbers in scientific notation.
Comparing and Ordering Rational Numbers
Given a problem situation, the student will compare and order integers, percents, positive and negative fractions and decimals with or without a calculator.
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.
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.
Comparing and Explaining Transformations
Given rotations, reflections, translations, and dilations, students will be able to develop algebraic representations for rotations, and generalize and then compare and contrast the properties of congruence transformations and non-congruence transformations.
Mean Absolute Deviation
Given a set of data with no more than 10 data points, students will be able to determine and use the mean absolute deviation to describe the spread of the data.
Generalizing about Populations from Random Samples
Given a population with known characteristics, students will be able to use a variety of methods to generate random samples of the same size in order to understand how a random sample is representative of a population.
Estimating and Finding Solutions to Problems Involving Similarity and Rates
Given application problems involving similarity and rates, the student will estimate and determine the solutions to the problems.