# Linear Equations/ Linear Functions Patterns Valentine's Day Activity        Subject
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(761 KB|16 pages)
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1. Now you can practice linear functions in multiple representations all year round! Buy this growing bundle now and download more as they are added. The price goes up as more resources are included.These activities are a fun way for students to relate patterns to linear functions and write linear equa
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This Valentine's Day activity is a fun way for students to relate patterns to linear functions and write linear equations in multiple representations. There are 5 different patterns of hearts. Students are asked to complete a table, graph the linear function, and write the equation. You can choose whether to ask students to identify the rate of change & initial value OR the slope & y-intercept. You can also print them in color or black and white. There is room for students to draw what "step 0" would look like and students can circle or shade the hearts that represent the rate of change and slope in the pattern. Students can use counters or heart candies as manipulatives as they look for the changes in the patterns.

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Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms.
Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (𝘹, 𝘺) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values.
Interpret the equation 𝘺 = 𝘮𝘹 + 𝘣 as defining a linear function, whose graph is a straight line; give examples of functions that are not linear. For example, the function 𝘈 = 𝑠² giving the area of a square as a function of its side length is not linear because its graph contains the points (1,1), (2,4) and (3,9), which are not on a straight line.
Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). For example, given a linear function represented by a table of values and a linear function represented by an algebraic expression, determine which function has the greater rate of change.
Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output.
Total Pages
16 pages
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Teaching Duration
40 minutes
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