Mathematics Content Framework - Chicago Public Schools

Grade 7 Mathematics Planning Guide – SY12-13
Big Idea: Expressions and Equations
Topic: Analyzing Linear Relationships
CCSS-M Content Standards
7.EE.4a Solve word problems leading to equations of the form px + q = r and p(x + q) = r where p, q, and r are specific rational numbers. Solve equations of these forms fluently.
Compare and algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach.
7.EE.4b Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers. Graph the solution set of inequalities and
interpret them in the contexts of the problems.
7.EE.3 Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form; convert between forms as appropriate; and assess the
reasonableness of answers using mental computation and estimation strategies.
Standards for Mathematical Practice How it applies…
Connections to Standards
for Mathematical Practice
Through defining what the word problems are asking (7.EE.4a/b);
comparing an algebraic solution to an arithmetic solution (7.EE.4a) and
MP1- Make sense of the problem and persevere in solving it.
assessing the reasonableness of an answer (7.EE.3)
Decontextualizing - creating an equation or expression that gets
transformed and then contextualizing - connecting the new expression or
equation back into the context of the problem
MP2- Reason abstractly and quantitatively.
MP4 – Modeling with mathematics. Creating an equation from the context of a word problem.
Key Ideas Key Terms
• Analyze and interpret single variable expressions, equations, in- Expression, equation, inequality, rational numbers, solution
equalities, tables, and graphs to solve problems in context.
Terms should be deeply understood within the context of their use. Not to
be considered standalone vocabulary exercises.
Key Ideas and Terms
for “Analyzing Linear
Relationships“
• Identify when two expressions are equivalent
• Understand that positive and negative numbers are used together to
describe quantities having opposite directions or values
Prior Knowledge • Knowledge of and capability to plot points in all four quadrants of the
coordinate plane
• Understand rates in the forms of equivalent ratios and tables
• Write, read, and evaluate expressions in which letters stand for
numbers
• Find the solution to a system of equations from a graph.
• Solve systems algebraically using substitution and elimination/
combination.
• Understand the solution of a system of equations in the context of the
problem and write as an ordered pair.
Students will be able to: • Solve linear equations in one variable.
• Identify linear equations with one, infinitely many, or no solution.
CPS Mathematics Content Framework_Version 1.0 Page 43
• Transform an expression or equation into alternate forms.
Inside Mathematics Problems of the Month: “Growing Staircases” and “Squirreling it Away”; CPM – Engaging Inequalities
Possible tasks*
*The Grade 7 mathematics 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 Mathematics and Science website (cmsi.cps.k12.il.us).
Planning Guides