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Illustrative Mathematics
Bike Race
A graph not only tells us who won the bike race, but also what happened during the race. Use this resource to help learners understand graphs. The commentary suggests waiting until the end of the year to introduce this topic, but why...
Curated OER
X vs. T graphs
In this X vs. T graph, students sketch velocity vs. time graphs corresponding to the following descriptions of the motion of an object. Students also draw the velocity vs. time graphs for an object whose motion produced the distance vs....
Balanced Assessment
All Aboard
Pupils must graph the location of a train using the time given a timetable. They analyze the different legs of the trip, graph the return trip, and compare the two graphs. The lesson ends with a discussion of similarities and...
EngageNY
Introduction to Simultaneous Equations
Create an understanding of solving problems that require more than one equation. The lesson introduces the concept of systems of linear equations by using a familiar situation of constant rate problems. Pupils compare the graphs of...
Curated OER
Olympic Bar Graphs
In this Olympic bar graph worksheet, students pick a sport from the 2004 Olympic games and find data from the Olympic web page. They graph the scores (times, distance, or speed) and the medals. They answer questions about the variables...
Curated OER
Speed, Distance and Time
For this speed and distance worksheet, students calculate the average speed of various items. They determine the speed of cars, trains, worms, and children running. Students also determine the amount traveled in a given period of time....
Curated OER
Graphing Linear Motion
In this graphing linear motion worksheet, students answer 20 questions about velocity of objects, the distance they travel and the time. They interpret a graph of position vs. time and identify the velocity at certain point on the graph.
Curated OER
Linear Motion 6
In this linear motion worksheet, learners answer 12 questions about acceleration, velocity and distance traveled. They interpret diagrams and indicate the location of an object if it has positive, negative or no acceleration. They...
Inside Mathematics
Squares and Circles
It's all about lines when going around. Pupils graph the relationship between the length of a side of a square and its perimeter. Class members explain the origin in context of the side length and perimeter. They compare the graph to the...
Curated OER
Graphing Speed; Slope
In this graphing speed worksheet, students find the slope in a position vs. time graph to be the speed. They are given example graphs of position vs. time to show the changes in slope reflect the changes in speed. Students match terms...
Illustrative Mathematics
Distance across the channel
Here you will find a model of a linear relationship between two quantities, the water depth of a channel and the distance across the channel at water level. The cross section of the channel is the shape of an isosceles trapezoid. The...
Curated OER
Linear Motion 3
In this linear motion activity, high schoolers answer 11 questions including finding acceleration of moving objects, finding the distance objects travel and finding the time it takes objects to move a particular distance. Students...
Curated OER
Motion Graphs
In this motion graphs worksheet, students learn about how motion of objects can be described using a graph. Students then answer 10 fill in the blank, 10 short answer, and 5 problems to solve.
Curated OER
Functions As Graphs Worksheet
In this math worksheet, students graph the data given in the organizer. The functions are used to create the new line for finding the possible unknowns.
EngageNY
Searching a Region in the Plane
Programming a robot is a mathematical task! The activity asks learners to examine the process of programming a robot to vacuum a room. They use a coordinate plane to model the room, write equations to represent movement, determine the...
Noyce Foundation
Granny’s Balloon Trip
Take flight with a fun activity focused on graphing data on a coordinate plane. As learners study the data for Granny's hot-air balloon trip, including the time of day and the distance of the balloon from the ground, they practice...
Mathematics Assessment Project
Bike Ride
As a middle school assessment task, learners interpret the graph of distance versus time for a bike ride. Pupils then determine distance of the trip, length of the trip, and speeds.
Curated OER
Line Graph: To Grandmother's House We Go
In this line graph worksheet, students use a line graph showing distance traveled to answer a set of 4 related questions. Answers are included on page 2.
Curated OER
Worksheet 1 - Equation of a Line
In this equation of a line worksheet, students determine the equation of a line, use the distance formula to identify the relationship between two moving objects, and solve inequalities algebraically. This two-page worksheet contains...
Charleston School District
Sketching a Piecewise Function
How do you combine linear and nonlinear functions? You piece them together! The lesson begins by analyzing given linear piecewise functions and then introduces nonlinear parts. Then the process is reversed to create graphs from given...
Curated OER
Buses
Busy buses bustling back and forth. In this middle school assessment task, learners use information given in a graph to answer questions about bus schedules. They then determine how many times a bus passes by other buses going in the...
Curated OER
Using Graphs
In this using graphs worksheet, 9th graders solve and complete 6 different types of problems. First, they determine how the transformation shown moves the graph. Then, students find the interval that is defined given the coordinates....
Curated OER
Linear Motion 5
In this linear motion worksheet, students answer 9 questions about velocity, acceleration and position of objects. They solve problems for acceleration and velocity and they interpret graphs of velocity vs. time, acceleration vs. time...
Curated OER
Linear Motion 4
In this linear motion worksheet, students answer 12 questions including finding acceleration of moving objects, calculating distance objects travel and determining the time of travel. Students interpret graphs of position vs. time,...