Relative Distance Teacher Resources
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Students examine the concept of frames of reference in physics: that two frames of reference, each moving with respect to the other with a constant velocity v, observe the same accelerations and therefore Newton's laws are the same in both.
Young scholars create a map. In this direction and distance activity, students come up with familiar places in the community and calculate the distances from these places to the school. Young scholars create a map that displays these places and their distance from the school.
Lesson 6, the previous instructional activity, is about manipulating Tanagram pieces. This is instructional activity 7 which is about manipulating virtual Tanagram pieces on the computer. They describe and interpret relative positions, direction, and distance in navigating space.
Students study the Iditarod sled dog race. They conduct research (including interviews with actual mushers) and read about the race to recreate the checkpoints along the Iditarod trail. They calculate and graph distance between checkpoints
Four lessons make up this mini unit about atomic structure and spectra. A pretest is provided to give an idea of what is already known about the atom. Through a series of demonstrations and lecture, you present the information to young chemists. They construct a fruit model of the boron atom. They fill in a chart using the periodic table of elements. They compare and contrast two potatoes as an example of how isotopes are related. Asides from the dissection of a fried fish head, this is a terrific set of lessons for introducing the atom and radioactivty.
Students calculate how far it is to the moon. In this distance lesson, students solve problems using linear equations and inequalities using a posterboard. They graph their data on a TI-Calculator as they make predictions.
Giddayup! How can we represent how far a horse can trot within a certain amount of time? Show it on a graph! After examining this example, math classes crate their own "stories" for different tables of time and distance data, and then address several more word problems in which rates are represented by data in tables and on graphs. This may be just what you are looking for to help meet Common Core standards for understanding rate of change!
Students calculate a problem involving distance and inverse trigonometric functions. Given a situation involving an a painting at an art gallery, students calculate the distance a student would need to stand in order to gain the best view of a painting.
Students use differential equations to determine the distance of a hit baseball. In this using differential equations to determine the distance of a hit baseball lesson, students find the velocity and angle of a ball hit by a batter. Students use differential equations to determine the distance the ball travels.
Ninth graders investigate quadrilaterals. In this geometry lesson, 9th graders examine and classify quadrilaterals using the slope, midpoint and distance formulas. Additionally, students create various quadrilaterals given three point and the conditions that determine the location of the fourth vertex.
Learners investigate coordinate graphing. In this Algebra I lesson, pupils determine the distance between two cities by finding the vertical and horizontal distances using the longitude and latitude readings. They use the Pythagorean Theorem to determine the distance and convert the degrees to miles.
In this watch worksheet, pupils read story problems and determine the change in the distance with respect to time. They compute the radians per second. This two-page worksheet contains nine multi-step problems.
Students explore change represented in graphs comparing distance and time. They exchange and share their graphs. Students interpret and create distance versus time line-graphs, and write stories based on these graphs. They interpret a story of a boar trip along the Mississippi River and represent it on a graph.
In this problem solving worksheet, students solve 1 word problem about two trains and a bee traveling towards each other. Students determine the distance traveled by the bee given velocity of the trains and bee, and the distance between the two trains.
Students design and build a working catapult or trebuchet to explore the concepts of force, motion, and distance.
In this physics 210-11 worksheet, students solve various problems in which the speed is calculated and distance is calculated as it relates to different scenarios presented in the word problems.
In this orbit of stars in galaxies worksheet, students are given an equation that models the orbital speeds of stars as they relate to their distance from the nucleus of a galaxy. Students solve 5 problems using this equation and determine how fast stars orbit a galaxy, the maximum velocity of a star and the years it takes a star to complete an orbit.
Ninth graders explore slope. In this Algebra I lesson, 9th graders collect and analyze distance versus time data. Students investigate the relationship of rate of change and how it relates to slope.
Use coordinate grid paper to plot points and identify shapes that are already plotted on the paper by saying their coordinates. Pupils also measure the distance between points and play the game Battleship. There are several web links and handouts included.
Stories and math blend beautifully with a subtraction word problem activity featuring Little Red Riding Hood: A Newfangled Prairie Tale, by Lisa Campbell Ernst. Youngsters listen to the version while watching a PowerPoint presentation (included) which has them engage in subtraction distance problems. Partners come up with strategies to solve and present their ideas. Consider having pairs create visual depictions of their solutions to project on a document camera. Next, they use a mileage chart (included) to calculate distances for several muffin-delivery routes. Scholars work with three and four-digit whole numbers. There are extensions included.