EngageNY
Ratios of Fractions and Their Unit Rates 2
Remodeling projects require more than just a good design — they involve complex fractions, too. To determine whether a tiling project will fit within a given budget pupils calculate the square footage to determine the number of...
Concord Consortium
Heights and Weights
Height is dependent on weight—or is it the other way around? Given data from a physicians handbook, individuals compare the height and weight of males and females at different areas. They calculate differences and ratios to assist with...
EngageNY
Multi-Step Problems—All Operations
Harness the power of algebra to solve problems. Young mathematicians learn to work out multi-step problems by applying algebraic techniques, such as solving equations and proportions. They use tape diagrams to model the problem to finish...
Achieve
False Positives
The test may say you have cancer, but sometimes the test is wrong. The provided task asks learners to analyze cancer statistics for a fictitious town. Given the rate of false positives, they interpret the meaning of this value in the...
Curated OER
Using Proportions
In this using proportions worksheet, 10th graders solve 9 various types of problems that include two word problems suing proportions. First, they use the table to find the ratios of each and express each ratio as a decimal rounded to...
Curated OER
Proportionality in Tables, Graphs, and Equations
Students create different methods to analyze their data. In this algebra instructional activity, students differentiate between proportion and non-proportional graph. They use the TI-Navigator to create the graphs and move them around to...
Curated OER
Algebra Using Proportions
In this algebra using proportions worksheet, 10th graders solve 14 various types of problems by applying algebra methods to geometry. First, they solve each of 8 proportions using cross products. Then, students use the triangle shown and...
Curated OER
Ratios
Sixth graders investigate the concept of ratios and how they can be used to represent the comparison of quantities. The instructional activity is taught using a table or graph to compare two categories of data.
Curated OER
Solving Problems Using Equivalent Ratios
In this equivalent ratios worksheet, students solve word problems when given an equivalent ratio of the answer. Students complete 7 problems.
Illustrative Mathematics
Running at a Constant Speed
The learner must use the given constant speed to find the unit rate. A table is made in order to relate the speed to the time and the distance. From the table, learners are able to see the unit rate in miles per minute and miles per...
EngageNY
An Experience in Relationships as Measuring Rate
Compare the ratio of genders in classes with a lesson that revisits ratio terminology. After finding the ratio of boys and girls, the class then finds the time it takes to pass out papers and determines the associated rates.
Curated OER
Punch Mix-up
Fifth graders discuss the relationship between equivalent fractions, ratios, and proportions. In this fraction lesson, 5th graders answer questions about a punch mixture in order to find the ratio of ingredients.
Curated OER
Taste Test-- Ratios
In this math worksheet, students mix four "cocktails" of orange juice and lemonade in the different rations specified. Students rate the drinks and determine their favorite combination. Students answer 10 questions about the ratios in...
Curated OER
Proportions in Stories
Students solve problems dealing with ratios and proportions. In this algebra activity, students rewrite word problems using equations and symbols. They correctly convert between percents and decimals.
Noyce Foundation
Photographs
Scaling needs to be picture perfect. Pupils use proportional reasoning to find the missing dimension of a photo. Class members determine the sizes of paper needed for two configurations of pictures in the short assessment task.
Curated OER
How Fast is Usain Bolt?
Revisit the 2012 Summer Olympics by having seventh graders calculate the unit rate sprinting speed of the 100-meter gold medal winner.
Curated OER
Count The Letters
Students perform activities involving ratios, proportions and percents. Given a newspaper article, groups of students count the number of letters in a given area. They use calculators and data collected to construct a pie chart and bar...
Illustrative Mathematics
Buying Protein Bars and Magazines
Packing for a trip? This activity allows learners to decide how many magazines and protein bars they can buy with twenty dollars. They can organize their work in a chart to track how many items they can purchase. There are two different...
Achieve
Corn and Oats
How much land does a parcel hold? How much fertilizer does it take for a field of corn? Pupils answer these questions and more as they apply ratio reasoning and unit analysis.
Curated OER
Dental Impressions
What an impressive task it is to make dental impressions! Pupils learn how dentists use proportional reasoning, unit conversions, and systems of equations to estimate the materials needed to make stone models of dental impressions....
Curated OER
Using Random Sampling to Draw Inferences
Emerging statisticians develop the ability to make inferences from sample data while also working on proportional relationships in general. Here, young learners examine samples for bias, and then use random samples to make...
PBS
Math with Jake: Frequencies and Pitch
Be an octave above the rest. A musician explains how to write music in different time signatures. An interesting resource continues to demonstrate ratios using the pitch of musical notes and hertz. Pupils use a pitch table and determine...
Curated OER
Monopoly Graphs
Students relate the concepts of linear functions to the game of monopoly. In this algebra lesson, students solve problems with ratio and proportion. They collect data and graph it.
EngageNY
Population Problems
Find the percent of the population that meets the criteria. The 17th segment of a 20-part unit presents problems that involve percents of a population. Pupils use tape diagrams to create equations to find the percents of subgroups...