OnTRACK Grade 7 Math: Proportionality

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OnTRACK Grade 7 Math: Proportionality

  • Subject(s): Math
  • Grade range: 7-8
  • Release date: 08-22-2015
  • Tags: probability, simulation, measurement, metric/SI, customary units, dimensional analysis, dependent, independent, predictions, graphical displays, data, conclusions, sampling, inference, valid, invalid, constant, factor, unit rate, proportions, percent, conversions, predict, justify, table, graph, scatter plot, verbal description, constant rate of change, estimate, similarity, similar figures, independent events, theoretical probability, experimental data, rate, similar figure, dilation, enlargement, reduction, proportion, proportional reasoning, 2-dimensional figures, proportional relationships, problem solving, scale factor, dependent event

Description

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.

Standards

7(1)(C), 7(6)(B), 7(6)(C), 7(6)(D), 7(6)(F), 7(3)(A), 7(3)(B), 7(4)(E), 7(1)(B), 7(6)(I), 7(1)(D), 7(1)(G), 7(12)(B), 7(1)(E), 7(1)(F), 7(4)(B), 7(4)(D), 7(11)(A), 8(5)(A), 8(5)(B), 8(5)(D), 8(5)(I), 7(4)(A), 7(5)(C), 7(5)(A), 7(4)(C)

Resources

Resource ID: M7M2L1 Grade Range: 7 By: ESC13 Content Subject: Math
Given problem situations, the student will graph data with a constant rate of change to demonstrate relationships in familiar concepts, such as scaling.
Resource ID: M7M2L2 Grade Range: 7 By: ESC13 Content Subject: Math
Given data in table form, the student will use the data table to interpret solutions to problems.
Resource ID: M8M2L10 Grade Range: 8 By: ESC13 Content Subject: Math
Given data in the form of a graph, the student will use the graph to interpret solutions to problems.
Resource ID: M7M2L4b Grade Range: 7 By: ESC13 Content Subject: Math
Given data in a verbal description, the student will use equations and tables to solve and interpret solutions to problems.
Resource ID: M7M2L5 Grade Range: 7 By: ESC13 Content Subject: Math
Given real-life problems, the student will select an appropriate method and solve problems involving proportional relationships.
Resource ID: M7M2L6 Grade Range: 7 By: ESC13 Content Subject: Math
Given problems involving proportional relationships, the student will use multiplication by a constant factor to solve the problems.
Resource ID: M7M2L7 Grade Range: 7 By: ESC13 Content Subject: Math
Given problem situations involving percents, the student will estimate and find solutions to the problems.
Resource ID: M7M2L8 Grade Range: 7 By: ESC13 Content Subject: Math
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.
Resource ID: M7M2L9 Grade Range: 7 By: ESC13 Content Subject: Math
Given similar figures, the student will use critical attributes to define similarity.
Resource ID: M7M2L10 Grade Range: 7 By: ESC13 Content Subject: Math
Given application problems involving similarity and rates, the student will estimate and determine the solutions to the problems.
Resource ID: M7M2L11 Grade Range: 7 By: ESC13 Content Subject: Math
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.
Resource ID: M7M2L12 Grade Range: 7 By: ESC13 Content Subject: Math
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.
Resource ID: M7M2L14 Grade Range: 7 By: ESC13 Content Subject: Math
Given a problem situation, students will use experimental data or theoretical probability to make predictions and determine solutions to situations involving independent events.
Resource ID: M7M2L15 Grade Range: 7 By: ESC13 Content Subject: Math
The student will investigate and develop the concept of dependent probability, including formalizing procedures related to dependent probability and applications of dependent probability.
Resource ID: M7M2L16 Grade Range: 7 By: ESC13 Content Subject: Math
Given problem situations, the student will find the probability of the dependent and independent events.
Resource ID: M7M2L17 Grade Range: 7 By: ESC13 Content Subject: Math
Given an event to simulate, the student will use theoretical probabilities and experimental results to make predictions and decisions.
Resource ID: M7M2L18 Grade Range: 7 By: ESC13 Content Subject: Math
Given problem situations that include given or collected data, the student will analyze the data and make inferences and convincing arguments based on the data.
Resource ID: M7M2L19 Grade Range: 7 By: ESC13 Content Subject: Math
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.
Resource ID: M7M2L20 Grade Range: 7 By: ESC13 Content Subject: Math
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.