Proportional Relationships - Grade 7

75 minutes 4 views 0 saves EN

Game

Send as Assignment

This learning path explores proportional relationships through tables, equations, graphs, and real-world applications. Learners practice identifying constants of proportionality, working with rates, and comparing proportional models.

Exercises in this learning path

15 exercises

1

Form 1: Basic Ratio Equivalence in Tables

Practice completing and verifying equivalent ratios presented in data tables. Learn how to determine if tabular values form consistent proportional relationships.
Open this exercise →
2

Form 2: Finding the Constant of Proportionality

Identify and calculate the constant of proportionality from sets of related quantities. This exercise focuses on finding the constant ratio between dependent and independent variables.
Open this exercise →
3

Form 3: Shopping and Unit Price Proportionality

Apply proportional reasoning to shopping scenarios and unit price calculations. Learn to calculate rates and compare costs for different item quantities.
Open this exercise →
4

Form 4: Motion, Speed, and Time Proportions

Solve proportional problems involving distance, speed, and time relationships. Practice determining rates and predicting motion outcomes using constant ratios.
Open this exercise →
5

Form 5: Graphing Proportions - Lines and Origin

Examine how proportional relationships display as straight lines passing through the origin on a coordinate grid. Practice identifying and drawing proportional graphs.
Open this exercise →
6

Form 6: Identifying Equations y = kx

Learn to recognize and write linear equations in the form y = kx for proportional relationships. Identify the constant of proportionality within mathematical equations.
Open this exercise →
7

Form 7: Non-Proportional Scenarios & Offsets

Explore scenarios with initial values or offsets that prevent relationships from being strictly proportional. Practice identifying non-proportional models and non-zero starting points.
Open this exercise →
8

Form 8: Recipes and Scaling Quantities

Scale recipe ingredient amounts using proportional ratios. Learn to increase or decrease quantities while maintaining correct ingredient proportions.
Open this exercise →
9

Form 9: Scale Drawings and Map Proportions

Use proportional reasoning to interpret scale drawings and map dimensions. Calculate actual lengths and scale sizes using map ratios.
Open this exercise →
10

Form 10: Fraction Rates and Proportionality

Work with fractional rates and ratios to determine proportional relationships. Practice calculating unit rates that involve complex or simple fractions.
Open this exercise →
11

Form 11: Decimals in Proportionality Tables

Analyze proportional tables that contain decimal numbers. Practice finding missing values and determining proportionality when working with decimal data.
Open this exercise →
12

Form 12: Graphs and Coordinate Identification

Identify key coordinate points on graphs representing proportional relationships. Practice interpreting points like the origin and unit rate coordinates in context.
Open this exercise →
13

Form 13: Work Rates and Time Analysis

Analyze work rates and time needed to complete tasks using proportional relationships. Practice calculating rates of work for different scenarios.
Open this exercise →
14

Form 14: Comparing Proportional vs Non-Proportional Models

Compare proportional relationships with non-proportional models across tables, graphs, and equations. Identify key differences between linear patterns with and without offsets.
Open this exercise →
15

Form 15: Comprehensive Proportionality Mastery

Review and demonstrate mastery across key concepts of proportional relationships. Test your ability to analyze tables, equations, graphs, and real-world word problems.
Open this exercise →

Proportional Relationships - Grade 7

Exercises in this learning path

Related Exercises