Generalizing Proportions from Similar Figures
Given a pair of similar figures, including dilations, students will be able to generalize that the lengths of corresponding sides are proportional.
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.
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.
Kid2Kid: Determining the Meaning of Slope and Intercepts
Kid2Kid videos on determining the meaning of slope and intercepts in English and Spanish
Drawing Conclusions about Three-Dimensional Figures from Nets
Given a net for a three-dimensional figure, the student will make conjectures and draw conclusions about the three-dimensional figure formed by the given net.
Interactive Math Glossary
Estimating Measurements and Using Formulas: Surface Area
Given application problems involving lateral or total surface area the student will estimate measurements and solve the problems.
Estimating Measurements and Using Formulas: Volume
Given application problems involving volume, the student will estimate measurements and solve the problems.
Estimating Measurements and Using Models and Formulas: 3-Dimensional Figures
Given application problems involving 3-dimensional figures, the student will estimate measurements, including surface area and/or volume, then solve the problems.
Using the Pythagorean Theorem to Solve Indirect Measurements
Given real-life problems, the student will use the Pythagorean Theorem to solve the problems.
Determining the Effects of Proportional Change on Area
Given pictorial representations and problem situations involving area, the student will describe the effects on area when dimensions are changed proportionally.
Determining the Effects of Proportional Change on Perimeter
Given pictorial representations and problem situations involving perimeter, the student will describe the effects on perimeter when dimensions are changed proportionally.
Developing the Concept of Slope
Given multiple representations of linear functions, the student will develop the concept of slope as a rate of change.