IM 6.6.19 Lesson: Tables, Equations, and Graphs, Oh My!

Autor:GeoGebra Classroom Activities, IM 6 – 8 Math

Match each equation with a table that represents the same relationship. Be prepared to explain your reasoning.

The equations in the previous activity represent situations.

where is the number of sides on a polygon and is the number of triangles you can draw inside it (from one vertex to the others, without overlapping)
where is a day in the Gregorian calendar and is the same day in the Julian calendar
where is the amount of income and is the profit after $47.50 in expenses
where is a temperature in degrees Celsius and is the same temperature in Kelvin
where is the total edge length of a regular tetrahedron and is the length of one side
where is the volume of a piece of copper and is its mass
where is the number of eggs and is how many dozens that makes
where is the amount of time it takes in seconds to jog a distance of meters at a constant speed of 2.5 meters per second
where is the mass in grams and is the same amount in ounces

Your teacher will assign you one of these equations to examine more closely. Rewrite your equation using words. Use words like product, sum, difference, quotient, and term.

In the previous activity, you matched equations and tables. Copy the values from the table that matched your assigned equation into the first 3 rows of this table. Make sure to label what each column represents.

Select one of the first 3 rows of the table and explain what those values mean in this situation.

Use your equation to find the values that complete the last 2 rows of the table. Explain your reasoning.

Create a graph that represents this relationship. Make sure to label your axes.

Create a visual display of your assigned relationships that includes:

your equation along with an explanation of each variable
a verbal description of the relationship
your table
your graph

If you have time, research more about your relationship and add more details or illustrations to help explain the situation.

IM 6.6.19 Lesson: Tables, Equations, and Graphs, Oh My!

Match each equation with a table that represents the same relationship. Be prepared to explain your reasoning.

The equations in the previous activity represent situations.

In the previous activity, you matched equations and tables. Copy the values from the table that matched your assigned equation into the first 3 rows of this table. Make sure to label what each column represents.

Create a graph that represents this relationship. Make sure to label your axes.

Create a visual display of your assigned relationships that includes:

Your graph:

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