Unit Plan
EngageNY

Ratios and Unit Rates

For Teachers 6th Standards
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...
Lesson Plan
EngageNY

Ratios of Fractions and Their Unit Rates

For Teachers 7th Standards
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...
Lesson Plan
EngageNY

Unit Rate as the Constant of Proportionality

For Teachers 7th Standards
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...
Lesson Plan
EngageNY

The Unit Rate as the Scale Factor

For Teachers 7th Standards
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...
Lesson Plan
EngageNY

Problem Solving Using Rates, Unit Rates, and Conversions

For Teachers 6th Standards
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...
Lesson Plan
EngageNY

Finding a Rate by Dividing Two Quantities

For Teachers 6th Standards
Develop the right station to solve rate word problems. The 18th lesson in a series of 29 starts by interpreting the aspects of rates with two different quantities. Pupils use the interpretation of rates to solve problems, and groups work...
Lesson Plan
EngageNY

Comparison Shopping—Unit Price and Related Measurement Conversions II

For Teachers 6th Standards
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...
Lesson Plan
EngageNY

From Rates to Ratios

For Teachers 6th Standards
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....
Lesson Plan
Curated OER

Dragonfly

For Teachers 7th Standards
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...
Activity
Houston Area Calculus Teachers

Related Rates

For Students 11th - Higher Ed
Use a hands-on approach to exploring the concepts of related rates in your AP Calculus class. Individuals explore the effect of the rate of change on a variable related to a variable they control. After analyzing the data they...
Instructional Video3:44
PBS

Real-Life Math — Production Scheduler

For Students 6th Standards
Use unit rates to find the number of parts needed to produce a given number of units. A production scheduler shares the different ways schedulers use math to ensure the required amount of parts are available to manufacture air...
Lesson Plan
EngageNY

Constant Rates Revisited

For Teachers 8th Standards
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...
Lesson Plan
EngageNY

An Experience in Relationships as Measuring Rate

For Teachers 7th Standards
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.
Lesson Plan
Mathalicious

Domino Effect

For Teachers 8th - 9th Standards
Carryout the lesson to determine the cost of pizza toppings from a Domino's Pizza® website while creating a linear model. Learners look through real data—and even create their own pizza—to determine the cost of each topping. They...
Lesson Plan
Illustrative Mathematics

Battery Charging

For Teachers 7th - 9th Standards
Your class will be very interested in the results of this activity. How long does it take a MP3 and video game player to charge?  Sam only has an hour and the MP3 player only has 40% of its battery life left. Plus, his video player...
Lesson Plan
EngageNY

Representing Proportional Relationships with Equations

For Teachers 7th Standards
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...
Lesson Plan
EngageNY

Getting the Job Done—Speed, Work, and Measurement Units II

For Students 6th Standards
How fast is your class? Learners determine the amount of time it takes individuals to walk a given distance and calculate their speeds. Pupils solve distance, rate, and time problems using the formula and pay attention to the...
Assessment
2
2
Illustrative Mathematics

Cell Phone Plans

For Teachers 8th Standards
Turn your classroom into a local cell phone store. Then, have your cell phone agents use linear equations to visually display three cell plans and their advantages. It makes for a great group project. Discuss how to decide which plan is...
Lesson Plan
EngageNY

The Slope of a Non-Vertical Line

For Teachers 8th Standards
This lesson introduces the idea of slope and defines it as a numerical measurement of the steepness of a line. Pupils then use the definition to compare lines, find positive and negative slopes, and notice their definition holds for...
Lesson Plan
Mathalicious

Been Caught Stealing

For Teachers 6th - 8th Standards
You're safe, when calculating the odds of stealing second base! Learners compare the rate of a runner to the distance the ball travels, in a lesson that explores right triangles and measurement. Full of discussion questions and fun...
Lesson Plan
Curated OER

Race and Crime in the United States: Are We Victims of Discrimination or Antiheroes?

For Teachers 9th - 12th Standards
Using methods adopted by Public Policy Analysts (PPA) class groups define a social problem, gather evidence to document the existence of the problem, identify causes, evaluate existing policies designed to deal with the problem, develop...
Activity
PBS

Heart to Heart

For Students 3rd - 7th
Study heart health and math in one activity. After measuring their resting heart rates by finding the pulse in their wrists, learners build a stethoscope to listen to their heart rate, and note the differences between the two methods.
Unit Plan
Mathematics Vision Project

Module 3: Arithmetic and Geometric Sequences

For Teachers 8th - 10th Standards
Natural human interest in patterns and algebraic study of function notation are linked in this introductory unit on the properties of sequences. Once presented with a pattern or situation, the class works through how to justify...
Lesson Plan
EngageNY

Solving Problems in Two Ways—Rates and Algebra

For Students 9th - 10th Standards
Build confidence by using multiple approaches to problem solving! This resource uses a visual and algebraic approach to solving application problems. A discussion is included about efficient approaches to different problems.