This turn-key unit on ratios and unit rates walks through a 30-lesson unit on teaching proportional reasoning, with each lesson broken into detailed teaching notes and time allotments for all parts. An unbelievable resource when taken...

Challenge the class to calculate unit rates using complex fractions. Pupils work through examples of finding unit rates using ratios of fractions. To complete the 11th lesson plan of 22, scholars review sample work and determine whether...

Zoe is reading books over vacation and wants to know at her current rate, how many will she finish by the end. Building on prior knowledge of fractions and ratios, young mathematicians learn how equivalent rates are used to answer her...

Whoops! Travis accidentally put too much butter into the recipe. Your bakers must find out how to alter the recipe to accommodate different changes by using unit rates and ratios . The activity has multiple parts and calculations with...

And they're off! While two runners are at track practice, your mathematicians' job is to find out who leaves the other in the dust. The activity provides a variety of data that can be computed into unit rates for comparisons. Available...

What do unit rates and constants of proportionality have in common? The lesson plan addresses this question and introduces the concept of constant proportionality to the class. Individuals find that the unit rate and the constant of...

Discover the scale factor by finding the constant of proportionality. Pupils investigate drawings to determine whether the distances are proportional. The activity defines the scale factor as the constant of proportionality, or unit...

Find a way to work with rates. The 23rd part in a 29-part series presents work problems for the class to solve given work rates. Pupils compare rates to determine which is faster. Some problems require learners to convert the rates to...

Which rate is greater and by how much? Pupils continue to compare rates to solve problems in the 20th portion of a 29-part series. Rates are presented in a variety of representations either using the same representation or different...

Look at rates from a general perspective. The 17th part of a 29-part series provides problems that help pupils develop more general ratios from given rates. Scholars determine unit rates and ratios that are associated with given rates....

Real-world multiple-step proportion problems are sometimes hard to find for your math class. Here is one designed specifically to meet that need. Learners use proportional relationships to determine price per share in the acquisition of...

The speed of a dragonfly brings math into the real world as your learners collaboratively see the value in calculating unit rates in direct proportion problems. This six-phase instructional activity encourages you, as the teacher, to...

This is how long we mow the lawn together. The assessment requires the class to work with combining ratios and proportional reasoning. Pupils determine the unit rate of mowers and calculate the time required to mow a lawn if they work...

A simple lesson with a lot of support behind it. Your learners will find out how long it takes Molly to run a mile by choosing their solution method. The activity can be used as a lesson or as an independent assignment. Preface with...

Visual models support young mathematicians as they deepen their fractional number sense in this elementary math lesson. Using fraction circle manipulatives, children explore basic unit fractions as they develop the fundamental...

What is the total cost? Provided with seven problems, pupils determine the total cost for utilities. Scholars determine the amount of the utility used and determine the cost based upon the given unit rate. The resource is part of a prep...

Find the faster rate. The resource tasks the class to compare proportional relationships represented in different ways. Pupils find the slope of the proportional relationships to determine the constant rates. They then analyze the...

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.

How does an input affect an output? Assess your learners' ability to answer this question using this pre-test. Scholars answer questions about the basics of a function. Topics include determining if a table or statement represents a...

It's time to put analytical applications to work. Learners use the eight questions of the mid-Unit 5 review to refresh their memories of the key points. Pupils apply what they have learned to use the Mean Value Theorem, find extrema...

After calculating election votes, your learners must determine how many votes the winner, John, got above 50%. This multi-step problem encourages them to think in a deeper way about what the question is asking them to find. Use with...

Use the constant of proportionality to relate the independent variable to the dependent variable. The eighth installment of a 22-part series instructs pupils to use the equation to find the constant of proportionality and then write the...

Add a festive flair to math instruction on Cinco de Mayo with a worksheet designed to reinforce division, finding unit prices, and solving word problems. 

After elections, the total amount of votes is not specified but the ratio of votes is. Your learners' job is to determine the fraction of votes John received above half of all votes. The problem can be solved abstractly or by other...