Create and Graph Equations in Two or More Variables

Standard A.CED.2 – Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.

Ohio specific:

a. Focus on applying linear and simple exponential expressions. (A1, M1)

b. Focus on applying simple quadratic expressions. (A1, M2)

c. Extend to include more complicated function situations with the option to graph with technology. (A2, M3)

Vocabulary for this standard: equation, variable, relation, ordered pair, graph, coordinate axis, x-axis, y-axis, scale, label

This is included in module one portion of the EngageNY curriculum
EngageNY Module 1 Topic A Lesson 1 – Graphs of Piecewise Linear Functions   Slides HW
EngageNY Module 1 Topic A Lesson 2 – Graphs of Quadratic Functions  Slides  HW
EngageNY Module 1 Topic A Lesson 3 – Graphs of Exponential Functions   Slides  HW
Quick thoughts:
An equation is a statement that the values of two mathematical expressions are equal
A variable is a symbol for a number we don’t know yet
A relation is a collection of ordered pairs containing one object from each set
An ordered pair is a pair of numbers, (x, y), written in a particular order.
A graph is a diagram representing a system of connections or interrelations among two or more things
A coordinate axis is one of the lines in the coordinate system that represents one of the dimensions (two-dimensional axes are represented by x and y)
The x-axis is the horizontal (left-right) axis of a system of coordinates and is the first number in an ordered pair.
The y-axis is the vertical (up-down) axis of a system of coordinates.
Scale is the ratio of the size of a graph (model) to the actual size of the object represented.
A label is a description of the x-axis, y-axis, and graph (with units of measurement) to identify what the graph describes.
Which one doesn’t belong (WODB) –
  • Quizizz
  • Kahoot
  • Formative