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8th rational & algeb
8th grade knowledge map rational numbers and algebraic reasoning
| Question | Answer |
|---|---|
| Decimals, percents and fractions are different ways to express the _____ | same value |
| _____ are parts per hundred. | Percents |
| _____ are numbers that when multiplied give a product. | Factors |
| To _____ fractions you need to have a common denominator. | add or subtract |
| When adding or subtracting fractions with common denominators, add or subtract the numerators and keep the denominators _____ | the same |
| _____ is dividing the numerator and denominator by the greatest common factor. | Simplifying fractions |
| The _____ is the largest number that two or more numbers can be divided by. | greatest common factor |
| When multiplying _____ multiply the numerators and the denominators, then simplify. | simple fractions |
| When multiplying mixed numbers change the mixed numbers to _____ , multiply the numerators and the denominators and simplify. | improper fractions |
| To _____ multiply the first fraction by the reciprocal of the second fraction. | divide simple fractions |
| The _____ is the inverted form of the fraction. | reciprocal |
| A fraction with a zero in the _____ is equal to 0. | numerator |
| A fraction with a zero in the _____ is undefined. | denominator |
| The _____ of a fraction can be found by dividing the numerator by the denominator. | decimal form |
| _____ are all the natural numbers and their opposites. | Integers |
| _____ numbers are the set of whole numbers excluding 0. | Natural |
| Positive and negative numbers are _____ . | opposites |
| The sum of opposites is always _____ . | zero |
| Adding a negative numbers is the same as _____ . | subtraction |
| When two numbers with opposite signs are multiplied or divided, the answer is always _____ . | negative |
| When two numbers with the same sign are multiplied or divided, the answer is always _____ . | positive |
| A number's _____ is its distance from zero. | absolute value |
| The symbol for _____ is | |. | absolute value |
| A _____ number is the product of two identical numbers. | square |
| A number that is multiplied by itself to form a product is called the _____ of that product. | square root |
| A _____ is the symbol used to represent a square root. | radical |
| A _____ number is the number that can be written as a/b where a and b are integers, but b is not equal to 0. | rational |
| An _____ number is a number whose decimal form is nonterminating and nonrepeating. | irrational |
| _____ is a way to express a very large or very small number as the product of a number between 1 and 10 and a power of 10. | Scientific notation |
| _____ is a branch of mathematics that uses variables to generalize the rules of numbers and operations. | Algebra |
| An _____ is made up of variables and constants joined by addition and subtraction. | algebraic expression |
| A _____ is the numerical part of the term. | coefficient |
| _____ are terms that are exactly the same except for their coefficients. | Like terms |
| A _____ is a numerical term that does not change. | constant |
| An _____ is a mathematical sentence showing two expressions are equal. | equation |
| To _____ an equation means to find all the values of the variable(s) that make the equation true. | solve |
| _____ are operations that undo each other. | Inverse operations |
| An equation can be changed and remains equal only when the same operation is done to _____ . | both sides |
| A _____ is a predictable relationship where one variable depends on another. | function |
| _____ is the set of x-coordinates of the set of points on a graph. | Domain |
| _____ is the set of y-coordinates of the set of points on a graph. | Range |
| The _____ is a two-dimensional region determined by a pair of axes that uses ordered pairs to represent the location of an object. | coordinate plane |
| The coordinate plane is divided into 4 _____ or sections and are numbered counter clockwise. | quadrants |
| The x-axis is the _____ number line on the coordinate plane. | horizontal |
| The y-axis is the _____ number line on the coordinate plane. | vertical |
| _____ is the point of intersection of the vertical and horizontal axes of the coordinate plane. The coordinates for this are (0,0). | Origin |
| When analyzing data, you look for _____ , not point to point differences. | patterns and trends |
| _____ are established over time with 3 to 5 data points. | Trends |