Mathematics Content Framework - Chicago Public Schools
Mathematics Content Framework - Chicago Public Schools
Mathematics Content Framework - Chicago Public Schools
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Algebra I Planning Guide – SY12-13<br />
Big Idea: Modeling with Linear Functions<br />
Page 60<br />
Topic: Constructing Linear Functions<br />
CCSS-M <strong>Content</strong> Standards<br />
F-LE.2 Construct linear … functions, including arithmetic … sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table).<br />
A-CED.2 Create equations in two or more variables to represent relationships between quantities; graph equations on a coordinate axes with labels and scales.<br />
8-F.4 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<br />
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,<br />
and in terms of its graph or a table of values.<br />
F-IF.7a Graph linear … functions and show intercepts...<br />
<strong>Chicago</strong> <strong>Public</strong> <strong>Schools</strong><br />
Standards of Mathematical Practice How it applies…<br />
Translate given information to create a mathematical representation for a<br />
MP2 - Reason abstractly and quantitatively.<br />
concept.<br />
Use patterns or structure to make sense of mathematics and connect<br />
MP7 - Look for and make use of structure.<br />
prior knowledge to similar situations and extend to novel situations.<br />
Connections to Standards<br />
for Mathematical Practice<br />
Evaluate the reasonableness of results throughout the mathematical<br />
process while attending to detail.<br />
MP8 - Look for and express regularity in repeated reasoning.<br />
Prior Knowledge • Apply properties of operations.<br />
• Create equations and inequalities in one variable.<br />
• Know and use the relationship between the y-intercept of the graph<br />
of a linear model and the situation being modeled.<br />
• Use constant rate of change and slope to analyze and graph linear<br />
functions.<br />
Students will be able to: • Write an equation based on an arithmetic sequence.<br />
• Determine a recursive formula.<br />
• Explain how to determine the next step in a pattern.<br />
Possible task(s)*<br />
*The Algebra I toolset includes this and other resources and can be found online at https://ocs.cps.k12.il.us/sites/IKMC/default.aspx and on the Department of <strong>Mathematics</strong> and Science website (cmsi.cps.k12.il.us).
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