7th Grade Math Here is the details in what is covered during 7th grade Math. I’ve added a printable to make it easier. Number theory Prime or composite Prime factorization Multiplicative inverses Divisibility rules Greatest common factor Least common multiple GCF and LCM: word problems Sort factors of numerical expressions Scientific notation Compare numbers written in scientific notation Classify numbers Factorials Integers Understanding integers Integers on number lines Graph integers on horizontal and vertical number lines Absolute value and opposite integers Quantities that combine to zero: word problems Compare and order integers Integer inequalities with absolute values Operations with integers Integer addition rules Add integers using counters Add integers using number lines Add integers Add three or more integers Integer subtraction rules Subtract integers using counters Subtract integers using number lines Subtract integers Integer addition and subtraction rules Add and subtract integers using counters Add and subtract integers Complete addition and subtraction equations with integers Add and subtract integers: word problems Integer multiplication rules Multiply integers Integer division rules Equal quotients of integers Divide integers Integer multiplication and division rules Multiply and divide integers Complete multiplication and division equations with integers Add, subtract, multiply, and divide integers Evaluate numerical expressions involving integers Decimals Decimal numbers review Compare and order decimals Decimal number lines Round decimals Operations with decimals Add and subtract decimals Add and subtract decimals: word problems Multiply decimals Multiply decimals and whole numbers: word problems Divide decimals Divide decimals by whole numbers: word problems Estimate sums, differences, and products of decimals Add, subtract, multiply, and divide decimals: word problems Multi-step inequalities with decimals Maps with decimal distances Evaluate numerical expressions involving decimals Fractions and mixed numbers Understanding fractions: word problems Equivalent fractions Write fractions in lowest terms Fractions: word problems with graphs and tables Least common denominator Compare and order fractions Compare fractions: word problems Convert between mixed numbers and improper fractions Compare mixed numbers and improper fractions Round mixed numbers Operations with fractions Add and subtract fractions Add and subtract fractions: word problems Add and subtract mixed numbers Add and subtract mixed numbers: word problems Inequalities with addition and subtraction of fractions and mixed numbers Estimate sums and differences of mixed numbers Multiply fractions and whole numbers Multiply two fractions using models Multiply fractions Multiply mixed numbers Multiply fractions and mixed numbers: word problems Divide fractions Divide mixed numbers Divide fractions and mixed numbers: word problems Estimate products and quotients of fractions and mixed numbers Add, subtract, multiply, and divide fractions and mixed numbers: word problems Maps with fractional distances Evaluate numerical expressions involving fractions Rational numbers Convert fractions or mixed numbers to decimals Convert decimals to fractions or mixed numbers Convert between decimals and fractions or mixed numbers Identify rational numbers Classify rational numbers using a diagram Absolute value of rational numbers Compare rational numbers Put rational numbers in order Add and subtract positive and negative decimals Add and subtract positive and negative fractions Add and subtract rational numbers Rational numbers: find the sign Apply addition and subtraction rules Identify quotients of rational numbers: word problems Multiply and divide positive and negative decimals Multiply and divide positive and negative fractions Multiply and divide rational numbers Apply multiplication and division rules Exponents and square roots Understanding exponents Evaluate exponents Solve equations with variable exponents Exponents with negative bases Exponents with decimal and fractional bases Powers of ten Evaluate numerical expressions involving exponents Square roots of perfect squares Estimate square roots Ratios, rates, and proportions Understanding ratios Identify equivalent ratios Write an equivalent ratio Equivalent ratios: word problems Unit rates Calculate unit rates with fractions Word problems involving ratios Compare rates: word problems Scale drawings: word problems Scale drawings: scale factor word problems Do the ratios form a proportion? Do the ratios form a proportion: word problems Solve proportions Solve proportions: word problems Estimate population size using proportions Rate of change: tables Rate of change: graphs Constant rate of change Proportional relationships Find the constant of proportionality from a table Write equations for proportional relationships from tables Identify proportional relationships by graphing Find the constant of proportionality from a graph Write equations for proportional relationships from graphs Identify proportional relationships from graphs and equations Identify proportional relationships from tables Complete a table and graph a proportional relationship Graph a proportional relationship using slope Interpret graphs of proportional relationships Write and solve equations for proportional relationships Percents What percentage is illustrated? Convert between percents, fractions, and decimals Compare percents to fractions and decimals Estimate percents of numbers Percents of numbers and money amounts Percents of numbers: word problems Solve percent equations Solve percent equations: word problems Percent of change Percent of change: word problems Percent of change: find the original amount word problems Consumer math Add, subtract, multiply, and divide money amounts: word problems Price lists Unit prices Unit prices with unit conversions Unit prices: find the total price Percent of a number: tax, discount, and more Which is the better coupon? Find the percent: tax, discount, and more Sale prices: find the original price Multi-step problems with percents Estimate tips Simple interest Compound interest Problem solving and estimation Estimate to solve word problems Multi-step word problems Multi-step word problems: identify reasonable answers Guess-and-check word problems Use Venn diagrams to solve problems Find the number of each type of coin Elapsed time word problems Units of measurement Estimate customary measurements Estimate metric measurements Compare and convert customary units Mixed customary units Compare and convert metric units Convert between customary and metric systems Precision Celsius and Fahrenheit temperatures Coordinate plane Coordinate plane review Quadrants and axes Follow directions on a coordinate plane Distance between two points Number sequences Identify arithmetic and geometric sequences Arithmetic sequences Geometric sequences Number sequences: mixed review Number sequences: word problems Evaluate variable expressions for number sequences Write variable expressions for arithmetic sequences Expressions and properties Write variable expressions: one operation Write variable expressions: two or three operations Write variable expressions: word problems Evaluate linear expressions Evaluate multi-variable expressions Evaluate absolute value expressions Evaluate nonlinear expressions Identify terms and coefficients Sort factors of variable expressions Properties of addition and multiplication Multiply using the distributive property Solve equations using properties Write equivalent expressions using properties Add and subtract linear expressions Add and subtract like terms: with exponents Factors of linear expressions Identify equivalent linear expressions using algebra tiles Identify equivalent linear expressions Identify equivalent linear expressions: word problems One-variable equations Which x satisfies an equation? Write an equation from words Model and solve equations using algebra tiles Write and solve equations that represent diagrams Solve one-step equations Solve two-step equations Solve equations: word problems Solve equations involving like terms Solve equations: complete the solution One-variable inequalities Solutions to inequalities Graph inequalities on number lines Write inequalities from number lines Solve one-step inequalities Graph solutions to one-step inequalities One-step inequalities: word problems Solve two-step inequalities Graph solutions to two-step inequalities Two-variable equations Does (x, y) satisfy the equation? Identify independent and dependent variables Find a value using two-variable equations Solve word problems involving two-variable equations Complete a table for a two-variable relationship Write a two-variable equation Identify the graph of an equation Graph a two-variable equation Interpret a graph: word problems Write an equation from a graph using a table Linear functions Find the slope from a graph Find the slope from two points Find a missing coordinate using slope Find the slope from an equation Graph a line using slope Write a linear function Identify linear and nonlinear functions Two-dimensional figures Identify and classify polygons Name, measure, and classify angles Classify triangles Triangle inequality Identify trapezoids Classify quadrilaterals Graph triangles and quadrilaterals Find missing angles in triangles Find missing angles in triangles using ratios Find missing angles in quadrilaterals Interior angles of polygons Lines, line segments, and rays Parallel, perpendicular, and intersecting lines Identify complementary, supplementary, vertical, and adjacent angles Find measures of complementary, supplementary, vertical, and adjacent angles Identify alternate interior and alternate exterior angles Transversals of parallel lines: name angle pairs Transversals of parallel lines: find angle measures Find lengths and measures of bisected line segments and angles Parts of a circle Central angles of circles Transformations and congruence Line symmetry Rotational symmetry Rotational symmetry: amount of rotation Identify reflections, rotations, and translations Combinations of reflections, rotations, and translations Translations: graph the image Translations: find the coordinates Reflections over the x- and y-axes: graph the image Reflections over the x- and y-axes: find the coordinates Reflections: graph the image Reflections: find the coordinates Rotations: graph the image Rotations: find the coordinates Similar and congruent figures Congruence statements and corresponding parts Side lengths and angle measures of congruent figures Side lengths and angle measures of similar figures Similar figures and indirect measurement Pythagorean theorem Pythagorean theorem: find the length of the hypotenuse Pythagorean theorem: find the missing leg length Pythagorean theorem: word problems Converse of the Pythagorean theorem: is it a right triangle? Three-dimensional figures Bases of three-dimensional figures Nets of three-dimensional figures Front, side, and top view Cross-sections of three-dimensional figures Geometric measurement Perimeter Area of rectangles and parallelograms Area of triangles and trapezoids Area and perimeter: word problems Area of circles Circumference of circles Circles: word problems Volume of cubes and prisms Volume of cubes and rectangular prisms: word problems Volume of pyramids Volume of cylinders Surface area of cubes and prisms Surface area of pyramids Surface area of cylinders Perimeter and area: changes in scale Semicircles: calculate area, perimeter, radius, and diameter Quarter circles: calculate area, perimeter, and radius Area of compound figures with triangles Area of compound figures with triangles, semicircles, and quarter circles Area between two shapes Data and graphs Interpret tables Interpret line plots Create line plots Create and interpret line plots with fractions Interpret stem-and-leaf plots Create stem-and-leaf plots Interpret bar graphs Create bar graphs Interpret histograms Create histograms Create frequency charts Interpret circle graphs Circle graphs and central angles Interpret line graphs Create line graphs Box plots Identify trends with scatter plots Make predictions with scatter plots Statistics Calculate mean, median, mode, and range Interpret charts and graphs to find mean, median, mode, and range Mean, median, mode, and range: find the missing number Changes in mean, median, mode, and range Calculate mean absolute deviation Quartiles Identify an outlier Identify representative, random, and biased samples Probability Probability of simple events Probability of simple events and opposite events Probability of mutually exclusive events and overlapping events Experimental probability Make predictions using experimental probability Make predictions using theoretical probability Compound events: find the number of outcomes Compound events: find the number of sums Probability of compound events Identify independent and dependent events Probability of independent and dependent events Counting principle Share this:TwitterFacebookLike this:Like Loading...
