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Decision One: Curriculum Map Topic: Expressions, Equations and Inequalities 2014-2015 Key Learning(s): Unit Essential Question(s): People use properties of operations to solve real world problems using expressions, equations and inequalities. Grade: 7 Optional Instructional Tools: Using properties of operations, in what ways can you evaluate expressions, equations or inequalities? Concept: Concept: Concept: Concept: Apply properties of operations to add and subtract linear expressions with rational coefficients – M07.B-E.1.1.1 Apply properties of operations to factor and expand linear expressions with rational coefficients – M07.B-E.1.1.1 Solve Two-Step Rational Equations – M07.B-E.2.2.1 Write and 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 – M07.B-E.2.2.1; M07.B-E.2.3.1 Lesson Essential Questions: Lesson Essential Questions: Lesson Essential Question Lesson Essential Questions: How do you recognize and combine like terms? How do you find the GCF and factor a linear expression? How do you use the distributive property to expand a linear expression? How do you solve a two-step equation? How do you write and solve a two-step equation word problem? Vocabulary: Variable Algebraic expression Term Like Terms Coefficient Associative Property of Addition Commutative Property of Addition Vocabulary: Distributive Property GCF Vocabulary: Inverse operations Addition property of Equality Subtraction property of Equality Multiplication property of Equality Division property of Equality Vocabulary: Concept: Solve and Graph (+/-) Rational Inequalities – M07.B-E.2.2.2 Lesson Essential Questions: How is solving an addition/subtraction inequality related to solving an addition/subtraction equation? How do you use a number line to represent the solutions of an inequality? Vocabulary: Inequality Open circle Closed circle Addition property of Inequality Subtraction property of Inequality Concept: Concept: Concept: Solve and Graph (x/÷) Rational Inequalities – M07.B-E.2.2.2 Solve and Graph a Two-Step Rational Inequality – M07.BE.2.2.2; M07.B-E.2.3.1 Write, Solve and Graph Word Problems leading to inequalities of the form px + q = r and p(x + q) = r, are specific rational numbers, and graph the solution set of the inequality – M07.B-E.2.2.2; M07.B-E.2.3.1 Lesson Essential Questions: Lesson Essential Question Lesson Essential Questions: How is solving a multiplication/division inequality related to solving a multiplication/division equation? How are they different? How do you solve two-step inequalities using inverse operations? Given an Inequality word problem, how do you write, solve and then graph the possible solutions on a number line? How do you use a number line to represent the solutions of an inequality? Vocabulary: Multiplication Property of Inequality Division Property of Inequality Vocabulary: Vocabulary: No less than No more than Is Less than Is Greater than At least At most Fewer Above Below Less than or equal to Greater than or equal to