California Education Partners
Animals of Rhomaar
Investigate the growth rates of alien animals. Pupils study fictional animals from another planet to determine how much they grow per year. The investigators plot the growth of their animals over a period of time and then compare...
EngageNY
Identifying Proportional and Non-Proportional Relationships in Graphs 2
Work together to find proportional relationships. The sixth portion of the 22-part unit is a collaborative exercise. Teams work with given representations of relationships and determine if they are proportional by creating tables and...
EngageNY
Ratios of Fractions and Their Unit Rates
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...
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...
University of Utah
Explore Proportional and Linear Relationships
Progress from proportional relationships to linear functions. Pupils first review concepts of proportionality covered in earlier grades. They then extend these concepts to linear functions, such as determining the slope of a...
California Education Partners
Miguel's Milkshakes
Moooove over, there's a better deal over there! The fourth segment in a series of eight requires individuals to determine the best unit cost for milk. Scholars calculate the least amount they can spend on a particular quantity of...
EngageNY
Mid-Module Assessment Task: Grade 7 Mathematics Module 4
Assess the ability of the class to solve percent problems with an assessment that covers a variety of percent problems from basic to multi-step. Pupils make connections between percent problems and proportional thinking to complete...
EngageNY
Tax, Commissions, Fees, and Other Real-World Percent Problems
Pupils work several real-world problems that use percents in the 11th portion of a 20-part series. The problems contain percents involved with taxes, commissions, discounts, tips, fees, and interest. Scholars use the equations formed for...
Cornell University
The Physics of Bridges
Stability is key when building a bridge. Scholars explore the forces acting upon bridges through an analysis of Newton's Laws and Hooke's Law. The activity asks individuals to apply their learning by building a bridge of their own.
Illustrative Mathematics
Walk-a-thon 1
Your mathematician's job is to explore the relationship between hours and miles walked during a walk-a-thon. The activity compels your learners to experiment with different means in finding out this proportional relationship. The answer...
EngageNY
A Critical Look at Proportional Relationships
Use proportions to determine the travel distance in a given amount of time. The 10th installment in a series of 33 uses tables and descriptions to determine a person's constant speed. Using the constant speed, pupils write a linear...
Howard County Schools
Constant Rate Exploration
Question: What do rectangles and bathtub volume have in common? Answer: Linear equations. Learn how to identify situations that have constant rates by examining two different situations, one proportional and one not proportional.
Illustrative Mathematics
Walk-a-thon 2
During a walk-a-thon your learners must determine the walking rate of Julianna's progress. Using tables, graphs, and an equation, they must be able to calculate the time it took her to walk one mile and predict her distance based on the...
Teach Engineering
Spring Away!
The last segment of the nine-part unit makes a connection between springs and linear equations. Groups hang weights from the spring and measure its length. Then, using the data collected, they calculate the slope to find the k-value...
EngageNY
An Exercise in Creating a Scale Drawing
Design your dream classroom. The lesson plan contains an exercise to have teams create a scale drawing of their dream classroom. Pairs take the measurements of their classroom and furniture and create a scale factor for them. To finish...
Mathematics Assessment Project
Shelves
Don't leave this task on the shelf — use it is assess middle schoolers understanding of patterns. Participants try to discover a pattern in the number of bricks and planks used to make shelves. They then match descriptions...
Virginia Department of Education
Types of Variations
Scholars determine how two quantities vary with respect to each other. They complete a fill-in-the-blank activity by stating whether the entities vary directly, inversely, or jointly, create equations that match different variations, and...
Santa Monica College
The Composition of Potassium Chlorate
The third lesson in a series of 11 begins by using thermal decomposition of potassium chlorate to determine the mass percent of oxygen. Then a second activity allows scholars to demonstrate that the resulting residue is from a...
EngageNY
Computing Actual Lengths from a Scale Drawing
Class members take scale drawings and examine scales to determine distances in the actual objects. Pupils convert the scales of different units to scale factors that can be used in proportional equations.
EngageNY
An Exercise in Changing Scales
Classmates create a scale drawing from another scale drawing, changing the scale in the process. Groups enlarge or reduce the scale of the drawing and discuss their processes.
EngageNY
An Exercise in Changing Scales 2
Reflect on altering scale factors. The last lesson in the series of 22 has the class compare the two scale drawings they created. They realize that the scale drawing becomes a scale drawing of each other. Class members continue to work...
EngageNY
Computing Actual Areas from a Scale Drawing
Square the scale factor when working with scaled drawings and area. The 19th lesson in a series of 22 introduces calculating actual areas from scale drawings. The lesson encourages pupils to use the square of the scale factor to find the...
EngageNY
Relating Scale Drawings to Ratios and Rates
Enlargements and reductions are all about scale. The lesson introduces scale drawing to the class. Pupils determine whether the drawing is a reduction or an enlargement, and the constant of proportionality between the original and the...
Flipped Math
Calculus AB/BC - Unit 7 Review: Differential Equations
Differentiate everyone's knowledge. Pupils work through nine review questions to highlight key concepts from Unit 7. Items range from finding slope fields and reasoning with them to finding general and particular solutions of...