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Resources for Grade seven

Number theory

What are the divisibility rules

How to determine the greatest common factor

How to determine the least common multiple

What is the scientific notation

How to classify numbers

Integers

How to graph integers

How to determine the absolute value of integers

What is the opposite of a number

How to compare and order integers

How to solve integers inequalities with absolute values

What are the addition and subtraction rules for integers

What are the multiplication and division rule for integers

How to evaluate numerical expressions involving integers

Decimals

How to compare and order decimals

How to round decimals

How to add and subtract decimals

How to multiply decimals

How to divide decimals

How to solve multi-step inequalities with decimals

How to read maps with decimal distances

How to evaluate numerical expressions involving decimals

Fractions and mixed numbers

When are fractions equivalent

How to simplify fractions

How to determine the least common denominator

How to round mixed numbers

How to compare and order fractions

How to convert between mixed numbers and improper fractions

How to add and subtract fractions

How to add and subtract mixed numbers

How to estimate sums and differences of mixed numbers

How to multiply fractions and whole numbers

How to multiply fractions

How to multiply mixed numbers

How to divide fractions and mixed numbers

How to estimate products and quotients of fractions and mixed numbers

How to read a map with fractional distances

How to evaluate numerical expressions involving fractions

Rational numbers

How to identify rational numbers

How to compare and order rational numbers

How to determine absolute values of rational numbers

How to add, subtract, multiply and divide rational numbers

Exponents and square roots

How to evaluate exponents

How to solve equations with variable exponents

How to evaluate negative exponents

How to evaluate numerical expressions involving exponents

How to estimate square roots

How to understand exponents with decimal or fractional bases

How to understand exponents with negative bases

Ratios and proportions

When are two ratios equivalent

How to compare ratios

How to solve proportions

What is the rate of change

What is the constant of proportionality

How to solve problems involving proportional relationships

How to identify proportional relationships

How to graph proportional relationship

How to write equations for proportional relationships

Percents

How to convert between percents fractions and decimals

How to estimate percents of numbers and money amounts

How to solve percent equations

How to compare percents to fractions and decimals

Consumer math

How to calculate a discount

What is the difference between simple and compound interest

Measurement

How to estimate customary measurements

How to estimate metric measurements

How to compare and convert metric units

How to convert between customary and metric units

How to convert between Celsius and Fahrenheit temperatures

Coordinate plane

How to calculate the distance between two points

Number sequences

What is the difference between geometric and arithmetic sequences

How to write variable expressions for arithmetic sequences

Variable expressions

How to write variable expressions

How to evaluate linear, multi-linear and nonlinear expressions

How to factor linear expressions

How to add and subtract like terms

How to add, subtract and multiply linear expressions

One-variable equations

How to write an equation from words

How to solve one-steps and two-steps equations

How to solve equations involving like terms

How to model and solve equations using algebra tiles

How to write and solve equations that represent diagrams

One-variable inequalities

How to graph inequalities on number lines

How to graph solutions to one-step and two-steps inequalities

Two-variable equations

identify independent and dependent variable

How to write and graph two-variable equation

Linear functions

How to find the slope from a graph

How to find the slope from an equation

How to find the slope from two points

How to write linear functions

How to identify linear and nonlinear unctions

Geometry

How to name, measure and classify angles

How to identify complementary, supplementary, adjacent, vertical and congruent angles

How to classify triangles and quadrilaterals

What is the difference between parallel, perpendicular and intersecting

How to identify and classify polygons

How to calculate the area and perimeters of rectangles, triangles, parallelograms and trapezoid

How to calculate area, circumference and radius of circles

How to calculate perimeter, area, radius and diameters of semicircles

How to calculate perimeter, area, radius and diameters of quarter circles

How to calculate the area between two shapes

Transformations

How to identify translations, reflections and rotations

How to identify and create symmetry

Data and Graphs

How to create and interpret line plots, line graphs, bar graphs, circle charts and histograms

How to create frequency charts

Statistics

How to calculate mean, median, mode and range

How to interpret charts to find mean, median, mode and range

How to calculate the probability of simple events

How to calculate the probability of dependent and independent events

How to calculate the probability of opposite, mutually exclusive and overlapping events

How to calculate factorials, permutations and combinations

How to find the number of outcomes of compound events