A-CED.1.2

Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.

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Formative Assessments
Formative Assessments
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Students are asked to write an equation in two variables given a verbal description of the relationship among the variables.
Hotel Swimming Pool
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Students are asked to graph a function in two variables given in context.
Model Rocket
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Students are asked to sketch a graph that depicts the exponential decline in the population of fir trees in a forest.
Loss of Fir Trees
Virtual/Hands-on Manipulatives
Virtual/Hands-on Manipulatives
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This resource provides guided practice for writing and graphing linear functions.
Linear Equations
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Assessment Questions
Assessment Questions
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FSA Sample Question
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Videos of Expert Instruction
Videos of Expert Instruction
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The two point form of the equation for a line can describe any non-vertical line in the Cartesian plane, given the coordinates of two points which lie on the line.
Two Point Form
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The point-slope form of the equation for a line can describe any non-vertical line in the Cartesian plane, given the slope and the coordinates of a single point which lies on the line.
Point-Slope Form
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Brandon Reese, a PhD candidate in the FAMU-FSU College of Engineering, discusses the significance of both Bernoulli's equation and statistical analysis for the design of a ``smart wing.``
Revolutionize Wing Design with Equations and Statistics
Hook/Performance Tasks
Hook/Performance Tasks
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This task presents a simple but mathematically interesting game whose solution is a challenging exercise in creating and reasoning with algebraic inequalities. The core of the task involves converting a verbal statement into a mathematical inequality in a context in which the inequality is not obviously presented, and then repeatedly using the inequality to deduce information about the structure of the game.
Bernardo and Sylvia Play a Game
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This awesomely gross lesson provides students with a real world context for building linear functions.
How Much Does A 100×100 In-N-Out Cheeseburger Cost?
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This question examines the algebraic equations for three different spheres. The intersections of each pair of spheres are then studied, both using the equations and thinking about the geometry of the spheres.
Global Positioning System I
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Students will be able to verify their answers by using the Finland’s police website that has an English language “Ticket Calculator” where students will be able to plug in values to verify that their answer is correct.
How Did He Get A $103,000 Speeding Ticket In Finland?
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This task examines the ways in which the plane can be covered by regular polygons in a very strict arrangement called a regular tessellation. These tessellations are studied here using algebra, which enters the picture via the formula for the measure of the interior angles of a regular polygon (which should therefore be introduced or reviewed before beginning the task). The goal of the task is to use algebra in order to understand which tessellations of the plane with regular polygons are possible.
Regular Tessellations of the Plane
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The purpose of the first question is to give students a question that they can sink their teeth into. There are many ways for them to determine that together the pair ate 36 hot dogs in the first four rounds (1 + 2 + … + 8).
How Many Hot Dogs Did They Eat?!