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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...
Curated OER
Speed
Fifth and sixth graders practice working in pairs to determine whether they can walk with constant speed. They test themselves, collect their data, draw graphs with their data collected, manipulate the data, and then draw conclusions...
Curated OER
Tracking Speed
Learners calculate the speed of an object, by measuring the amount of time it takes to cover a given distance, and then divide: speed=distance/time. However, the object may not have been moving at a constant rate over the given distance....
EngageNY
Getting the Job Done—Speed, Work, and Measurement Units II
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...
National Sailing Hall of Fame
How a Sailboat Works: Hull Speed and Buoyancy
How can you determine the maximum speed of a sailboat? A sailing presentation included with a straightforward lesson plan prompts learners to calculate the maximum speed of a sailboat with a displacement hull. The...
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...
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...
Illustrative Mathematics
Riding at a Constant Speed, Assessment Variation
Practice ratios and unit rates with tracking how long Lin took to ride her bike. Provided with different questions, your mathematicians can assemble their answers using a chart or setting up ratios. The activity is included in a set of...
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
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...
Curated OER
Slow Down - Speed Up
Pupils explore the concept of distance and time as they use a CBR to mimic distance v. time graphs. Learners walk towards and away from the monitor to create various distance v. time graphs, then discuss what motion creates certain graphs.
Curated OER
Position vs. Time and Velocity vs. Time Graphs
In this constant velocity worksheet, students use data of position vs. time of a roller-skater to determine speed, acceleration, or deceleration at different points along the path. Students rank graphs according to average velocity and...
Curated OER
Emotional Speed with Balls and Ramps
Fifth graders investigate the relationship between mass and speed. For this physics lesson, 5th graders experiment with motion by being given a ramp, two balls, and blocks or books for elevation. Students determine how different...
Illustrative Mathematics
Molly's Run, Assessment Variation
Part of as assessment series, the activity follows the lesson Molly's Run to practice ratios and dividing with fractions. Different solution options are given for your learners' preference. The commentary explains how the...
Illustrative Mathematics
The Escalator, Assessment Variation
A great way to practice with unit rates, the activity gives your mathematicians an opportunity to compare different statements and select which are true. They can practice with "choose all that apply" by setting each statement into its...
Curated OER
Straight Line Motion in Two Parts
Students describe and quantify the motion of toy cars. In this motion lesson, students observe a battery powered toy car on a flat surface and a standard toy car on a sloped surface. They write their observations, measure average speeds,...
Curated OER
Three, Two, One, Go!
Young scholars work in teams conducting an experiment that demonstrates why the height of an inclined plane affects the speed at which an object travels. They record data on a chart and calculate speed to reveal the results of three...
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 instructional activity encourages you, as the teacher, to...
Illustrative Mathematics
Riding by the Library
Draw a graph that shows the qualitative features of a function that has been described verbally. Make sure learners understand where time is zero and the distance is zero. It may take them some time to understand this concept, so working...
Curated OER
Linear Motion
Students are able to build an understanding of linear motion. They are able to define and calculate the speed and acceleration of various objects. Students are able to differentiate betweeen instantaneous speed and average speed. They...
Curated OER
Speed, Distance and Time
Learners are introduced to the concept of speed and the difference between average and instantaneous speed. They work as a class to solve a variety of word problems to calculate average speeds without a calculator. The students are then...
Curated OER
Tracking Speed
Students collect data for a runner by measuring the time it takes for the runner to run equal distances. After collecting data, students average speeds and accelerations for the runner. Assignment is completed by graphing the data.
02 x 02 Worksheets
Inverse Variation
Discover an inverse variation pattern. A simple lesson plan design allows learners to explore a nonlinear pattern. Scholars analyze a distance, speed, and time relationship through tables and graphs. Eventually, they write an equation to...
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...