Fluently add multi-digit decimals digit numbers Fluently subtract multi- Fluently multiply multi- • • • decimals digit decimals Fractions Expressions, Equations & Inequalities Expressions, Equations & Expressions, Equations Inequalities & Inequalities Divide fractions by • fractions Reason about and solve Same as “Addition” Same as “Addition” • • Decimals Column Column one-variable equations Fluently divide multi- and inequalities. • digit decimals Represent and analyze Expressions, Equations & Inequalities quantitative relationships between dependent and Same as “Addition” independent variables. • Column Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all nonnegative rational numbers Write an inequality of the form x > c or x < c to represent a constraint or condition in a real- world or mathematical problem Represent solutions of inequalities on number line diagrams Addition Subtraction Multiplication Division pg 3 Seventh Grade Seventh Grade Seventh Grade Seventh Grade Add rational numbers Add and expand linear expressions with rational coefficients Compute unit rates associated with ratios of Subtract rational Multiply rational Divide rational fractions, including ratios of • numbers numbers numbers lengths, areas and other Subtract and Factor and expand quantities measured in like expand linear linear expressions or different units • Convert a rational expressions with with rational Use proportional number to a decimal rational coefficients coefficients relationships to solve using long division ratio and percent problems Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals)
• Fluently add multi-digit decimals Expressions, Equations & Inequalities Reason about and solve one-variable equations and inequalities. Represent and analyze quantitative relationships between dependent and independent variables. Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all nonnegative rational numbers Write an inequality of the form x > c or x < c to represent a constraint or condition in a real- world or mathematical problem Represent solutions of inequalities on number line diagrams • Fluently subtract multi- decimals Expressions, Equations & Inequalities • Same as “Addition” Column • Fluently multiply multi- digit decimals Expressions, Equations & Inequalities • Same as “Addition” Column digit numbers Fractions • Divide fractions by fractions Decimals • Fluently divide multi- digit decimals Expressions, Equations & Inequalities • Same as “Addition” Column Addition Subtraction Multiplication Division pg 3 Seventh Grade Seventh Grade Seventh Grade Seventh Grade Add rational numbers Add and expand linear expressions with rational coefficients Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units Use proportional relationships to solve ratio and percent problems Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals) Subtract rational numbers Subtract and expand linear expressions with rational coefficients Multiply rational numbers Factor and expand linear expressions with rational coefficients • Divide rational numbers • Convert a rational number to a decimal using long division
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