EngageNY
From Ratios to Rates
Rate ratios with unit rates and rate units. Pupils take ratios and determine their associated rates and unit rates. The scholars identify the different aspects of rates, the unit rate, and the rate unit. The lesson is the 16th in a...
EngageNY
Graphs of Linear Functions and Rate of Change
Discover an important property of linear functions. Learners use the slope formula to calculate the rates of change of linear functions. They find that linear functions have constant rates of change and use this property to determine if...
EngageNY
Problem Solving Using Rates, Unit Rates, and Conversions
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...
PLS 3rd Learning
Interpreting Heart Rates During Various Physical Activities
Learners review terminology: pulse, heart rate, target heart rate zone. They work in three groups, and assigned to one of three activity stations. At 5-minute intervals, 4th graders check their pulse and record it on their group card....
EngageNY
Interpreting Rate of Change and Initial Value
Building on knowledge from the previous instructional activity, the second instructional activity in this unit teaches scholars to identify and interpret rate of change and initial value of a linear function in context. They investigate...
Curated OER
Stock Swaps, Variation 3
More on the fictitious takeover of the Apple Corporation by Microsoft. In this scenario, Microsoft has $28.00 per share to spare, so how many do they need to offer to make an even trade? This is an engaging problem to solve when...
EngageNY
Average Rate of Change
Learners consider the rate of filling a cone in the 23rd installment of this instructional activity series. They analyze the volume of the cone at various heights and discover the rate of filling is not constant. The instructional...
EngageNY
Linear and Exponential Models—Comparing Growth Rates
Does a linear or exponential model fit the data better? Guide your class through an exploration to answer this question. Pupils create an exponential and linear model for a data set and draw conclusions, based on predictions and the...
EngageNY
From Rates to Ratios
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....
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 tiles...
EngageNY
Percent and Rates per 100
What percentage of your class understands percents? Pupils learn the meaning of percents based upon rates per 100 in the 24th instructional activity in a series of 29. They represent percents as fractions, decimals, ratios, and models....
EngageNY
Constant Rates Revisited
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 rates...
EngageNY
Constant Rate
Two-variable equations can express a constant rate situation. The instructional activity presents several constant rate problems. Pupils use the stated constant rate to create a linear equation, find values in a table, and graph the...
EngageNY
The Concept of a Function
Explore functions with non-constant rates of change. The first installment of a 12-part module teaches young mathematicians about the concept of a function. They investigate instances where functions do not have a constant rate of change.
EngageNY
Comparison Shopping—Unit Price and Related Measurement Conversions II
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...
EngageNY
Solving Problems in Two Ways—Rates and Algebra
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.
Rational Number Project
Initial Fraction Ideas: Lesson 3
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...
EngageNY
Linear Functions and Proportionality
Connect linear equations, proportionality, and constant rates of change to linear functions. Young mathematicians learn how linear equations of the form y = mx + b can represent linear functions. They then explore examples of linear...
EngageNY
Comparing Linear and Exponential Models Again
Making connections between a function, table, graph, and context is an essential skill in mathematics. Focused on comparing linear and exponential relationships in all these aspects, this resource equips pupils to recognize and interpret...
SaveandInvest.org
Introduction to Earning Interest: Grades 9-10
Does your bank pay you for allowing them to hold your money? The lesson covers three different ways your money can make money. Topics include certificates of deposit, statement savings accounts, and money market accounts.
Curated OER
Use Google Maps to Teach Math
Capture the engagement of young mathematicians with this upper-elementary math lesson on measuring time and distance. Using Google Maps, students first measure and compare the distance and time it takes to travel between different...
SaveandInvest.org
Introduction to Earning Interest: Grades 11-12
Does your bank pay you for allowing them to hold your money? Class members investigate three different ways money can make more money. Topics include certificates of deposit, statement savings accounts, and money market accounts. This...
Curated OER
Dragonfly
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 lesson plan encourages you, as the teacher, to only ask...
West Contra Costa Unified School District
Sneaking Up on Slope
Pupils determine the pattern in collinear points in order to determine the next point in a sequence. Using the definition of slope, they practice using the slope formula, and finish the activity with three different ways to determine the...