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NY-7.EE.Expressions, Equations and Inequalities
Expressions, Equations and Inequalities
Use properties of operations to generate equivalent expressions.
NY-7.EE.1. Add, subtract, factor, and expand linear expressions with rational coefficients by applying the properties of operations.
NY-7.EE.2. Understand that rewriting an expression in different forms in real-world and mathematical problems can reveal and explain how the quantities are related.
Solve real-life and mathematical problems using numerical and algebraic expressions, equations and inequalities.
NY-7.EE.3. Solve multi-step real-world 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;
NY-7.EE.4. 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.
NY-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 rational numbers and x represents the unknown quantity. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solutio
Quiz, Flash Cards, Worksheet, Game & Study GuideUsing Integers
NY-7.EE.4b. Solve word problems leading to inequalities of the form px + q > r, px + q ≥ r, px + q ≤ r, or px + q < r, where p, q, and r are rational numbers and x represents the unknown quantity. Graph the solution set of the inequality on the number line and
Draw, construct and describe geometrical figures and describe the relationships between them.
NY-7.G.1. Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale.
Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.
NY-7.NS.1. 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.
NY-7.NS.1b. Understand addition of rational numbers; p + q is 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).
NY-7.NS.1c. 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.
NY-7.NS.2a. 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
Quiz, Flash Cards, Worksheet, Game & Study GuideUsing Integers
NY-7.NS.2b. 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 –(ݑ/ݰݑ) = ޢȒݑ/ݰݑ = ްݑ/ݢȒݑ. Interpret quotients of rational numbers b
Quiz, Flash Cards, Worksheet, Game & Study GuideUsing Integers
NY-7.NS.2d. Convert a fraction to a decimal using long division; know that the decimal form of a rational number terminates in 0s or eventually repeats.
NY-7.RP.2b. Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.
NY-7.SP.8a. Understand that, just as with simple events, the probability of a compound event is the fraction of outcomes in the sample space for which the compound event occurs.
NY-7.SP.8b. Represent sample spaces for compound events using methods such as organized lists, sample space tables and tree diagrams. For an event described in everyday language, identify the outcomes in the sample space which compose the event.