Ratios and Rates

Learn and practice finding unit rates and solving proportions with interactive resources from GeoGebra.

Middle School

GRADES 6-8

Area and Volume of Similar Geometric Figures

Recognize the effect of scale factors or ratios on areas and volumes of similar geometric figures; use formulas to solve number and word problems.

OefenenGR. 6-8

Finding the Area of Similar Figures Using Scale Factor

Comparing Quantities with Ratios

Write a ratio or rate to compare two quantities.

VerkenningGR. 6-8

Comparing Apples and Oranges with Ratios

OefenenGR. 6-8

Writing Ratios for Apples and Oranges

OefenenGR. 6-8

Variables as Numerical Expressions

Dimensional Analysis

Use dimensional analysis to rename quantities or rates.

OefenenGR. 6-8

Converting Unit Rates with Dimensional Analysis

VerkenningGR. 6-8

Exploring Unit Conversion Within a Measurement System Using a Rain Gauge Activity

Distance in Scale Drawings and Maps

Calculate distances from scale drawings and maps.

VerkenningGR. 6-8

Finding Actual Distances Using an Interactive Map

OefenenGR. 6-8

Calculating Actual Distances Using Scale Drawings

OefenenGR. 6-8

Creating Scale Drawings

Equivalent Ratios

Use reasoning with equivalent ratios to solve number and word problems.

VerkenningGR. 6-8

Comparing Quantities of Desserts Using Ratios

OefenenGR. 6-8

Ratios in a Cupcake Recipe

Proportions

Write a proportion to model a word problem; solve proportions.

VerkenningGR. 6-8

Comparing Ratios with a Water Dye Simulation

OefenenGR. 6-8

Proportional Relationships in Real World Problems

Ratio or Rate Given a Table or Graph

Determine the ratio or rate of change of a relation given a table or graph.

OefenenGR. 6-8

Rate of Change from a Relation in a Table

VerkenningGR. 6-8

Rate of Change from a Graph of a Line

OefenenGR. 6-8

Finding Rate of Change from a Graph of a Line

Ratios and Proportions

Describe the relationship between corresponding terms in two or more numerical patterns or tables of ratios.

VerkenningGR. 6-8

Proportional Number Patterns

Scale Factors

Determine and use scale factors to reduce and enlarge drawings on grids to produce dilations.

VerkenningGR. 6-8

Exploring Scaled Figures Using Models

OefenenGR. 6-8

Sides of a Dilated Figure

Unit Rate

Calculate unit rates in number and word problems, including comparison of unit rates.

VerkenningGR. 6-8

Finding Unit Rates Using Models

Unit Rate and the Constant of Proportionality

Given a proportional relationship represented by tables, graphs, models, or algebraic or verbal descriptions, identify the unit rate (constant of proportionality).

VerkenningGR. 6-8

Analyzing Proportional Relationships

Unit Rates with Fractions

Calculate unit rates of ratios that include fractions to make comparisons in number and word problems.

OefenenGR. 6-8

Solving Unit Rate Word Problems

Variable Rate of Change

Analyze graphs, identify situations, or solve problems with varying rates of change.

OefenenGR. 6-8

Interpreting Rate of Change of Graphs

Verwante onderwerpen

Absolute Value

Addition

Angles

Area

Congruence and Similarity

Coordinates

Decimal Numbers

Division

Equations

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