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.
Generating Similar Figures Using Dilations
Given a figure, the student will identify the scale factor used for a dilation, and use a dilation by a scale factor, including enlargements and reductions, to generate similar figures.
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.
Converting Between Measurement Systems
Given a real-world situation with measurements in either metric/SI or customary units, the student will solve a problem requiring them to convert from one system to the other.
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.
Predicting, Finding, and Justifying Data from Verbal Descriptions
Given data in a verbal description, the student will use equations and tables to solve and interpret solutions to problems.
Comparing and Contrasting Proportional and Non-Proportional Linear Relationships
Given problem solving situations, the student will solve the problems by comparing and contrasting proportional and non-proportional linear relationships.
4 OnTRACK Grade 7 Math: Number and Operations
Students will learn how to apply mathematical process standards to represent and use real numbers in a variety of forms.
19 OnTRACK Grade 7 Math: Proportionality
Students will learn to use proportional relationships to describe dilations; to explain proportional and non-proportional relationships involving slope; and to use proportional and non-proportional relationships to develop foundational concepts of functions.