Skill plan for the Alabama Critical Standards - 7th grade
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Domain
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Ratios and Proportional Relationships
Analyze proportional relationships and use them to solve real-world and mathematical problems.
7.RP.1: Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units.
7.RP.1: Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units.
7.RP.2: Recognize and represent proportional relationships between quantities.
7.RP.2: Recognize and represent proportional relationships between quantities.
7.RP.2.a: Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin.
Equivalent ratios
Proportions
Proportional relationships
7.RP.2.a: Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin.
Equivalent ratios
Proportions
Proportional relationships
7.RP.2.b: Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.
7.RP.2.b: Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.
7.RP.2.c: Represent proportional relationships by equations.
Represent relationships
Solve proportional problems
7.RP.2.c: Represent proportional relationships by equations.
Represent relationships
Solve proportional problems
7.RP.2.d: Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate.
7.RP.2.d: Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate.
7.RP.3: Use proportional relationships to solve multistep ratio and percent problems.
Unit prices
Percent of change
Percent problems
Simple interest
7.RP.3: Use proportional relationships to solve multistep ratio and percent problems.
Unit prices
Percent of change
Percent problems
Simple interest
The Number System
Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.
7.NS.4: Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram.
7.NS.4: Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram.
7.NS.4.a: Describe situations in which opposite quantities combine to make 0.
7.NS.4.a: Describe situations in which opposite quantities combine to make 0.
7.NS.4.b: Understand p + q as the number located a distance |q| from p, in the positive or negative direction depending on whether q is positive or negative. Show that a number and its opposite have a sum of 0 (are additive inverses). Interpret sums of rational numbers by describing real-world contexts.
7.NS.4.b: Understand p + q as the number located a distance |q| from p, in the positive or negative direction depending on whether q is positive or negative. Show that a number and its opposite have a sum of 0 (are additive inverses). Interpret sums of rational numbers by describing real-world contexts.
7.NS.4.c: Understand subtraction of rational numbers as adding the additive inverse, p - q = p + (-q). Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts.
7.NS.4.c: Understand subtraction of rational numbers as adding the additive inverse, p - q = p + (-q). Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts.
7.NS.4.d: Apply properties of operations as strategies to add and subtract rational numbers.
Model with counters
Integers
Positive rational numbers
Rational numbers
7.NS.4.d: Apply properties of operations as strategies to add and subtract rational numbers.
Model with counters
Integers
Positive rational numbers
Rational numbers
7.NS.5: Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.
7.NS.5: Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.
7.NS.5.a: Understand that multiplication is extended from fractions to rational numbers by requiring that operations continue to satisfy the properties of operations, particularly the distributive property, leading to products such as (-1)(-1) = 1 and the rules for multiplying signed numbers. Interpret products of rational numbers by describing real-world contexts.
7.NS.5.a: Understand that multiplication is extended from fractions to rational numbers by requiring that operations continue to satisfy the properties of operations, particularly the distributive property, leading to products such as (-1)(-1) = 1 and the rules for multiplying signed numbers. Interpret products of rational numbers by describing real-world contexts.
7.NS.5.b: Understand that integers can be divided, provided that the divisor is not zero, and every quotient of integers (with non-zero divisor) is a rational number. If p and q are integers, then -(p/q) = (-p)/q = p/(-q). Interpret quotients of rational numbers by describing real-world contexts.
7.NS.5.b: Understand that integers can be divided, provided that the divisor is not zero, and every quotient of integers (with non-zero divisor) is a rational number. If p and q are integers, then -(p/q) = (-p)/q = p/(-q). Interpret quotients of rational numbers by describing real-world contexts.
7.NS.5.c: Apply properties of operations as strategies to multiply and divide rational numbers.
Integers
Positive decimals
Positive fractions
Rational numbers
7.NS.5.c: Apply properties of operations as strategies to multiply and divide rational numbers.
Integers
Positive decimals
Positive fractions
Rational numbers
7.NS.5.d: Convert a rational number to a decimal using long division; know that the decimal form of a rational number terminates in 0s or eventually repeats.
7.NS.5.d: Convert a rational number to a decimal using long division; know that the decimal form of a rational number terminates in 0s or eventually repeats.
7.NS.6: Solve real-world and mathematical problems involving the four operations with rational numbers.
Addition and subtraction
Multiplication and division
Mixed operations
7.NS.6: Solve real-world and mathematical problems involving the four operations with rational numbers.
Addition and subtraction
Multiplication and division
Mixed operations
Expressions and Equations
Use properties of operations to generate equivalent expressions.
7.EE.7: Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.
Properties of operations
Add and subtract
Factor
Identify linear expressions
7.EE.7: Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.
Properties of operations
Add and subtract
Factor
Identify linear expressions
7.EE.8: Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related.
7.EE.8: Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related.
Solve real-life and mathematical problems using numerical and algebraic expressions and equations.
7.EE.9: Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies.
Order of operations
Evaluate variable expressions
Real-life problems
7.EE.9: Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies.
Order of operations
Evaluate variable expressions
Real-life problems
7.EE.10: Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.
7.EE.10: Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.
7.EE.10.a: 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 an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach.
Solve equations
Word problems
7.EE.10.a: 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 an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach.
Solve equations
Word problems
7.EE.10.b: 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 the inequality and interpret it in the context of the problem.
One-step inequalities
Two-step inequalities
7.EE.10.b: 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 the inequality and interpret it in the context of the problem.
One-step inequalities
Two-step inequalities
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