7th+Grade+IXL+Chapter+Links



Standards are in black and IXL math skills are in blue. Hold your mouse over the name of a skill to view a sample problem. Click on the name of a skill to practice that skill.
 * Skills available for Common Core seventh-grade math standards **


 * Chapter NINE: Statistics **
 * ====CCSS.Math.Content.7.SP.A.1 Understand that statistics can be used to gain information about a population by examining a sample of the population; generalizations about a population from a sample are valid only if the sample is representative of that population. Understand that random sampling tends to produce representative samples and support valid inferences.====
 * [|Identify representative, random, and biased samples (Seventh grade - AA.5)]
 * ====CCSS.Math.Content.7.SP.A.2 Use data from a random sample to draw inferences about a population with an unknown characteristic of interest. Generate multiple samples (or simulated samples) of the same size to gauge the variation in estimates or predictions.====
 * [|Estimate population size using proportions (Seventh grade - J.10)]
 * ====CCSS.Math.Content.7 Draw informal comparative inferences about two populations.====
 * ====CCSS.Math.Content.7.SP.B.3 Informally assess the degree of visual overlap of two numerical data distributions with similar variabilities, measuring the difference between the centers by expressing it as a multiple of a measure of variability.====
 * ====CCSS.Math.Content.7.SP.B.4 Use measures of center and measures of variability for numerical data from random samples to draw informal comparative inferences about two populations.====
 * [|Calculate mean, median, mode, and range (Seventh grade - AA.1)]
 * [|Interpret charts to find mean, median, mode, and range (Seventh grade - AA.2)]
 * [|Mean, median, mode, and range: find the missing number (Seventh grade - AA.3)]
 * [|Changes in mean, median, mode, and range (Seventh grade - AA.4)]


 * Chapter EIGHT: Surface Area and Volume **
 * ====CCSS.Math.Content.7.G.A.3 Describe the two-dimensional figures that result from slicing three-dimensional figures, as in plane sections of right rectangular prisms and right rectangular pyramids.====
 * [|Front, side, and top view (Seventh grade - P.25)]
 * [|Names and bases of 3-dimensional figures (Seventh grade - P.26)]
 * ====CCSS.Math.Content.7.G.B.4 Know the formulas for the area and circumference of a circle and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle.====
 * [|Parts of a circle (Seventh grade - P.21)]
 * [|Circles: calculate area, circumference, radius, and diameter (Seventh grade - P.22)]
 * [|Circles: word problems (Seventh grade - P.23)]
 * ====CCSS.Math.Content.7.G.B.6 Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.====
 * [|Area of rectangles and parallelograms (Seventh grade - P.18)]
 * [|Area of triangles and trapezoids (Seventh grade - P.19)]
 * [|Area and perimeter: word problems (Seventh grade - P.20)]
 * [|Nets of 3-dimensional figures (Seventh grade - P.27)]
 * [|Surface area (Seventh grade - P.28)]
 * [|Volume (Seventh grade - P.29)]


 * Chapter SIX: Angle Properties **
 * ====CCSS.Math.Content.7.G.B.5 Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve simple equations for an unknown angle in a figure.====
 * [|Identify complementary, supplementary, vertical, adjacent, and congruent angles (Seventh grade - P.4)]
 * [|Find measures of complementary, supplementary, vertical, and adjacent angles (Seventh grade - P.5)]
 * ====CCSS.Math.Content.7.G.B.6 Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.====
 * [|Area of rectangles and parallelograms (Seventh grade - P.18)]
 * [|Area of triangles and trapezoids (Seventh grade - P.19)]
 * [|Area and perimeter: word problems (Seventh grade - P.20)]
 * [|Nets of 3-dimensional figures (Seventh grade - P.27)]
 * [|Surface area (Seventh grade - P.28)]
 * [|Volume (Seventh grade - P.29)]
 * ====CCSS.Math.Content.7.G.A.2 Draw (freehand, with ruler and protractor, and with technology) geometric shapes with given conditions. Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle====
 * [|Similar and congruent figures (Seventh grade - P.12)]
 * [|Similar figures: side lengths and angle measures (Seventh grade - P.13)]
 * [|Similar figures and indirect measurement (Seventh grade - P.14)]
 * [|Congruent figures: side lengths and angle measures (Seventh grade - P.15)]
 * [|Congruence statements and corresponding parts (Seventh grade - P.16)]


 * Chapter FIVE: Understanding Direct Proportions **

CCSS.Math.Content.7 Analyze proportional relationships and use them to solve real-world and mathematical problems.

 * ====CCSS.Math.Content.7.RP.A.1 Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units.====
 * [|Divide fractions and mixed numbers: word problems (Seventh grade - G.13)]
 * [|Understanding ratios (Seventh grade - J.1)]
 * [|Unit rates (Seventh grade - J.5)]
 * [|Unit prices (Seventh grade - L.3)]
 * [|Unit prices with unit conversions (Seventh grade - L.4)]
 * ====CCSS.Math.Content.7.RP.A.2 Recognize and represent proportional relationships between quantities.====
 * ====CCSS.Math.Content.7.RP.A.2a 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 (Seventh grade - J.2)]
 * [|Equivalent ratios: word problems (Seventh grade - J.3)]
 * [|Do the ratios form a proportion? (Seventh grade - J.6)]
 * [|Do the ratios form a proportion: word problems (Seventh grade - J.7)]
 * [|Identify proportional relationships (Seventh grade - X.1)]
 * ====CCSS.Math.Content.7.RP.A.2b Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.====
 * [|Find the constant of variation (Seventh grade - X.2)]
 * ====CCSS.Math.Content.7.RP.A.2c Represent proportional relationships by equations.====
 * [|Solve proportions (Seventh grade - J.8)]
 * [|Solve proportions: word problems (Seventh grade - J.9)]
 * [|Write an equation for a proportional relationship (Eighth grade - I.5)]


 * Chapter FOUR: Algebraic Equations **
 * ====CCSS.Math.Content.7.EE.B.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 an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach.====
 * [|Solve proportions: word problems (Seventh grade - J.9)]
 * [|Model and solve equations using algebra tiles (Seventh grade - V.2)]
 * [|Solve one-step linear equations (Seventh grade - V.3)]
 * [|Solve two-step linear equations (Seventh grade - V.4)]
 * [|Solve equations involving like terms (Seventh grade - V.5)]
 * [|Linear function word problems (Seventh grade - X.10)]
 * [|Solve equations using properties (Seventh grade - Y.4)]
 * ====CCSS.Math.Content.7.EE.B.3 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.====
 * [|Simplify expressions involving decimals (Seventh grade - C.11)]
 * [|Simplify expressions involving integers (Seventh grade - E.9)]
 * [|Equivalent fractions (Seventh grade - F.1)]
 * [|Compare percents to fractions and decimals (Seventh grade - K.3)]
 * [|Unit prices with unit conversions (Seventh grade - L.4)]
 * [|Unit prices: find the total price (Seventh grade - L.5)]
 * [|Estimate to solve word problems (Seventh grade - M.1)]
 * [|Multi-step word problems (Seventh grade - M.2)]
 * [|Guess-and-check word problems (Seventh grade - M.3)]
 * [|Use Venn diagrams to solve problems (Seventh grade - M.4)]
 * [|Find the number of each type of coin (Seventh grade - M.5)]
 * [|Elapsed time word problems (Seventh grade - M.6)]


 * ====CCSS.Math.Content.7.EE.B.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 the inequality and interpret it in the context of the problem.====
 * [|Inequalities on number lines (Seventh grade - W.1)]
 * [|Solutions to variable inequalities (Seventh grade - W.2)]
 * [|Graph inequalities on number lines (Seventh grade - W.3)]
 * [|Solve one-step linear inequalities (Seventh grade - W.4)]
 * [|Graph solutions to one-step linear inequalities (Seventh grade - W.5)]
 * [|Solve two-step linear inequalities (Seventh grade - W.6)]
 * [|Graph solutions to two-step linear inequalities (Seventh grade - W.7)]


 * Chapter THREE: Algebraic Expressions **

CCSS.Math.Content.7.EE.A.1 Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.

 * [|Variable expressions: Add and subtract like terms (Seventh grade - U.6)]
 * [|Properties: Properties of addition and multiplication (Seventh grade - Y.1)]
 * [|Properties: Distributive property (Seventh grade - Y.2)]
 * [|Properties: Simplify variable expressions using properties (Seventh grade - Y.3)]

**CCSS.Math.Content.7 Solve real-life and mathematical problems using numerical and algebraic expressions and equations.**
===**CCSS.Math.Content.7.EE.B.3 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.**===
 * [|Decimal numbers: Round decimals (Seventh grade - B.4)]
 * [|Operations with decimals: Estimate sums, differences, and products of decimals (Seventh grade - C.7)]
 * [|Operations with decimals: Multi-step inequalities with decimals (Seventh grade - C.9)]
 * [|Operations with decimals: Maps with decimal distances (Seventh grade - C.10)]
 * [|Operations with decimals: Simplify expressions involving decimals (Seventh grade - C.11)]
 * [|Operations with integers: Simplify expressions involving integers (Seventh grade - E.9)]
 * [|Fractions and mixed numbers: Equivalent fractions (Seventh grade - F.1)]
 * [|Fractions and mixed numbers: Simplify fractions (Seventh grade - F.2)]
 * [|Fractions and mixed numbers: Compare and order fractions (Seventh grade - F.5)]
 * [|Fractions and mixed numbers: Compare fractions: word problems (Seventh grade - F.6)]
 * [|Fractions and mixed numbers: Convert between mixed numbers and improper fractions (Seventh grade - F.7)]
 * [|Fractions and mixed numbers: Compare mixed numbers and improper fractions (Seventh grade - F.8)]
 * [|Fractions and mixed numbers: Round mixed numbers (Seventh grade - F.9)]
 * [|Operations with fractions: Estimate sums and differences of mixed numbers (Seventh grade - G.6)]
 * [|Operations with fractions: Estimate products and quotients of fractions and mixed numbers (Seventh grade - G.14)]
 * [|Operations with fractions: Maps with fractional distances (Seventh grade - G.16)]
 * [|Rational numbers: Convert between decimals and fractions or mixed numbers (Seventh grade - H.2)]
 * [|Ratios and proportions: Compare ratios: word problems (Seventh grade - J.4)]
 * [|Percents: Convert between percents, fractions, and decimals (Seventh grade - K.2)]
 * [|Percents: Compare percents to fractions and decimals (Seventh grade - K.3)]
 * [|Consumer math: Unit prices with unit conversions (Seventh grade - L.4)]
 * [|Consumer math: Unit prices: find the total price (Seventh grade - L.5)]
 * [|Problem solving and estimation: Estimate to solve word problems (Seventh grade - M.1)]
 * [|Problem solving and estimation: Multi-step word problems (Seventh grade - M.2)]
 * [|Problem solving and estimation: Guess-and-check word problems (Seventh grade - M.3)]
 * [|Problem solving and estimation: Use Venn diagrams to solve problems (Seventh grade - M.4)]
 * [|Problem solving and estimation: Find the number of each type of coin (Seventh grade - M.5)]
 * [|Problem solving and estimation: Elapsed time word problems (Seventh grade - M.6)]


 * Chapter TWO: Operations with Rational Numbers **
 * 7.NS.1.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.1.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.2.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.2.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.3 Solve real-world and mathematical problems involving the four operations with rational numbers. **
 * [|Operations with decimals: Add and subtract decimals (Seventh grade - C.1)]
 * [|Operations with decimals: Add and subtract decimals: word problems (Seventh grade - C.2)]
 * [|Operations with decimals: Multiply decimals (Seventh grade - C.3)]
 * <span style="color: #0000ff; font-family: 'Palatino Linotype','serif'; font-size: 16px;">[|Operations with decimals: Multiply decimals and whole numbers: word problems (Seventh grade - C.4)]
 * <span style="color: #0000ff; font-family: 'Palatino Linotype','serif'; font-size: 16px;">[|Operations with decimals: Divide decimals (Seventh grade - C.5)]
 * <span style="color: #0000ff; font-family: 'Palatino Linotype','serif'; font-size: 16px;">[|Operations with decimals: Divide decimals by whole numbers: word problems (Seventh grade - C.6)]
 * <span style="color: #0000ff; font-family: 'Palatino Linotype','serif'; font-size: 16px;">[|Operations with decimals: Add, subtract, multiply, and divide decimals: word problems (Seventh grade - C.8)]
 * <span style="color: #0000ff; font-family: 'Palatino Linotype','serif'; font-size: 16px;">[|Operations with integers: Add and subtract integers (Seventh grade - E.3)]
 * <span style="color: #0000ff; font-family: 'Palatino Linotype','serif'; font-size: 16px;">[|Operations with integers: Complete addition and subtraction sentences with integers (Seventh grade - E.4)]
 * <span style="color: #0000ff; font-family: 'Palatino Linotype','serif'; font-size: 16px;">[|Operations with integers: Add and subtract integers: word problems (Seventh grade - E.5)]
 * <span style="color: #0000ff; font-family: 'Palatino Linotype','serif'; font-size: 16px;">[|Operations with integers: Integer multiplication and division rules (Seventh grade - E.6)]
 * <span style="color: #0000ff; font-family: 'Palatino Linotype','serif'; font-size: 16px;">[|Operations with integers: Multiply and divide integers (Seventh grade - E.7)]
 * <span style="color: #0000ff; font-family: 'Palatino Linotype','serif'; font-size: 16px;">[|Operations with integers: Complete multiplication and division sentences with integers (Seventh grade - E.8)]
 * <span style="color: #0000ff; font-family: 'Palatino Linotype','serif'; font-size: 16px;">[|Operations with fractions: Add and subtract fractions (Seventh grade - G.1)]
 * <span style="color: #0000ff; font-family: 'Palatino Linotype','serif'; font-size: 16px;">[|Operations with fractions: Add and subtract fractions: word problems (Seventh grade - G.2)]
 * <span style="color: #0000ff; font-family: 'Palatino Linotype','serif'; font-size: 16px;">[|Operations with fractions: Add and subtract mixed numbers (Seventh grade - G.3)]
 * <span style="color: #0000ff; font-family: 'Palatino Linotype','serif'; font-size: 16px;">[|Operations with fractions: Add and subtract mixed numbers: word problems (Seventh grade - G.4)]
 * <span style="color: #0000ff; font-family: 'Palatino Linotype','serif'; font-size: 16px;">[|Operations with fractions: Inequalities with addition and subtraction of fractions and mixed numbers (Seventh grade - G.5)]
 * <span style="color: #0000ff; font-family: 'Palatino Linotype','serif'; font-size: 16px;">[|Operations with fractions: Multiply fractions (Seventh grade - G.7)]
 * <span style="color: #0000ff; font-family: 'Palatino Linotype','serif'; font-size: 16px;">[|Operations with fractions: Multiply fractions and whole numbers (Seventh grade - G.8)]
 * <span style="color: #0000ff; font-family: 'Palatino Linotype','serif'; font-size: 16px;">[|Operations with fractions: Multiply mixed numbers (Seventh grade - G.9)]
 * <span style="color: #0000ff; font-family: 'Palatino Linotype','serif'; font-size: 16px;">[|Operations with fractions: Multiply fractions and mixed numbers: word problems (Seventh grade - G.10)]
 * <span style="color: #0000ff; font-family: 'Palatino Linotype','serif'; font-size: 16px;">[|Operations with fractions: Divide fractions (Seventh grade - G.11)]
 * <span style="color: #0000ff; font-family: 'Palatino Linotype','serif'; font-size: 16px;">[|Operations with fractions: Divide mixed numbers (Seventh grade - G.12)]
 * <span style="color: #0000ff; font-family: 'Palatino Linotype','serif'; font-size: 16px;">[|Operations with fractions: Divide fractions and mixed numbers: word problems (Seventh grade - G.13)]
 * <span style="color: #0000ff; font-family: 'Palatino Linotype','serif'; font-size: 16px;">[|Operations with fractions: Add, subtract, multiply, and divide fractions and mixed numbers: word problems (Seventh grade - G.15)]
 * <span style="color: #0000ff; font-family: 'Palatino Linotype','serif'; font-size: 16px;">[|Rational numbers: Add and subtract rational numbers (Seventh grade - H.6)]
 * <span style="color: #0000ff; font-family: 'Palatino Linotype','serif'; font-size: 16px;">[|Rational numbers: Multiply and divide rational numbers (Seventh grade - H.7)]
 * <span style="color: #0000ff; font-family: 'Palatino Linotype','serif'; font-size: 16px;">[|Consumer math: Add, subtract, multiply, and divide money amounts: word problems (Seventh grade - L.1)]
 * <span style="color: #0000ff; font-family: 'Palatino Linotype','serif'; font-size: 16px;">[|Consumer math: Price lists (Seventh grade - L.2)]


 * <span style="font-family: 'Palatino Linotype','serif'; font-size: 34.6667px;">Chapter One: Rational Numbers **


 * <span style="font-family: 'Palatino Linotype','serif'; font-size: 16px;">7.NS.1.a Describe situations in which opposite quantities combine to make 0. **


 * <span style="color: #0000ff; font-family: 'Palatino Linotype','serif'; font-size: 16px;">[|Integers: Absolute value and opposite integers (Seventh grade - D.3)]


 * <span style="font-family: 'Palatino Linotype','serif'; font-size: 16px;">7.NS.1.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. **


 * <span style="color: #0000ff; font-family: 'Palatino Linotype','serif'; font-size: 16px;">[|Decimal numbers: Decimal number lines (Seventh grade - B.3)]
 * <span style="color: #0000ff; font-family: 'Palatino Linotype','serif'; font-size: 16px;">[|Integers: Integers on number lines (Seventh grade - D.2)]
 * <span style="color: #0000ff; font-family: 'Palatino Linotype','serif'; font-size: 16px;">[|Integers: Absolute value and opposite integers (Seventh grade - D.3)]
 * <span style="color: #0000ff; font-family: 'Palatino Linotype','serif'; font-size: 16px;">[|Integers: Integer inequalities with absolute values (Seventh grade - D.5)]


 * <span style="font-family: 'Palatino Linotype','serif'; font-size: 16px;">7.NS.2.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. **


 * <span style="color: #0000ff; font-family: 'Palatino Linotype','serif'; font-size: 16px;">[|Number theory: Classify numbers (Seventh grade - A.10)]
 * <span style="color: #0000ff; font-family: 'Palatino Linotype','serif'; font-size: 16px;">[|Rational numbers: Convert between decimals and fractions or mixed numbers (Seventh grade - H.2)]