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[ Operations | Place Value & Number Sense | Geometry ]

 Operations Word Definition Example multiplication Finds the total number of objects based on the number of objects in each group times the number of groups 3×5 = 15 division Splits numbers into groups; the inverse operation of multiplication 15÷3 = 5 factor Numbers that make up another number when multiplied together Factors of 15: 1, 3, 5, 15 decompose Breaking a number into smaller parts 234 = 200+30+4 234 = 2×3×3×13 product The answer in a multiplication problem 3×5 = 15 array A geometric picture of a multiplication problem dimensions The measurement of the sides of a plane figure, also the factors of a multiplication problem 3 cm × 5 cm rectangle unmarked array An array that does not have the area marked off in square units combination Two factors which pair together to form a specific product 3, 5 [3×5=15] 1, 15 [1×15=15] multiple The product of a specific number times any other number(s) Multiples of 2: 2, 4, 6, 8, 10... even numbers Numbers which are multiples of two 2, 4, 6, ...8...100...1,000... odd numbers Numbers which are not multiples of two 1, 3, 5...101... prime numbers Numbers which have only one and itself as factors 1, 2, 3, 5, 7, 11... composite numbers Numbers which are made up by more than one combination of factors 4, 8, 16, 44 square number The product of a number multiplied by itself, also written as 22 22=2×2=4 32=3×3=9 prime factorization The process of finding all of the prime numbers which are factors of a number Prime factors for 100: 1, 2, 5 representation A way of showing a mathematical relationship or concept 3 groups of 5: 3×5 distributive property Multiplication can distribute across addition which allows us to break up multiplication problems into smaller parts 3×15=3×(10+5)=(3×10)+(3×5)=30+15=45 p=(2×l)+(2×w)=2×(l+w) associative property Addition: Addends (the parts of an addition problem) may be added together in any order Multiplication: Factors may be multiplied together in any order 3+(5+10)=(3+5)+10 2×(3×5)=(2×3)+5 <, less than The number, variable, or operation shown to the left of the symbol is smaller than the one shown to the right 3<5 >, greater than The number, variable, or operation shown to the left of the symbol is larger than the one shown to the right 9>7 ≤, less than or equal to The number, variable, or operation shown to the left of the symbol is smaller than or is equal to the one to the right 3≤4 2+2≤4 ≥, greater than or equal to The number, variable, or operation shown to the left of the symbol is larger than or is equal to the one to the right 4≥3 2×2≥4 =, equal The numbers, variables, or operations shown on either side of the symbol are equal to each other 3=3 2+3=5 ≠, not equal The numbers, variables, or operations shown on either side of the symbol are not equal to each other 3≠5 2+3≠6 ascending Ordered from smallest to largest 2, 5, 7, 9, 11 descending Ordered from largest to smallest 11, 9, 7, 5, 2 dividend The number being split into groups 15÷3=5 divisor The number of groups into which the dividend is being split or the size of the groups into which the dividend is being split 15÷3=5 quotient The answer to a division problem 15÷3=5 Number Sense & Place Value standard form The normal way we write numbers 952,345 written form The words we use to write numbers Nine hundred fifty-two thousand, three hundred forty-five expanded notation Writing out numbers based on their place value 900,000 + 50,000 + 2,000 +300 + 40 +5 hundred thousands place The position in which a number is equal to itself times 100,000 952,345 ten thousands place The position in which a number is equal to itself times 10,000 952,345 thousands place The position in which a number is equal to itself times 1,000 952,345 hundreds place The position in which a number is equal to itself times 100 952,345 tens place The position in which a number is equal to itself times 10 952,345 ones place The position in which a number is valued as itself 952,345 million One thousand thousands 1,000,000 billion One thousand millions 1,000,000,000 trillion One thousand billions 1,000,000,000,000 fraction A group or object divided into smaller portions (or parts) numerator The number on the top of the fraction, represents the number of parts of a whole that we have (or are shaded in) denominator The number on the bottom of the fraction, represents the number of parts into which the whole is split decimal A fraction represented as a number based on tenths, hundredths, thousandths... .5 = one half .25 = one quarter .1 = one tenth percent A portion (fraction) out of one hundred 100% = whole 50% = one half equivalent Fractions, decimals, percents, or numbers which are equal to each other tenths The position in which a number is equal to the fraction of itself over ten .1 = 1 tenth hundredths The position in which a number is equal to the fraction of itself over one hundred .01 = 1 hundredth thousandths The position in which a number is equal to the fraction of itself over one thousand .001 = 1 thousandth ten thousandths The position in which a number is equal to the fraction of itself over ten thousand .0001 = 1 ten thousandth number line A representation of numbers on a line in order from smallest to largest (or largest to smallest). <---1--2--3--4---> [Back to Top] 2D Geometry/Plane Figures angle The space between two intersecting lines or line segments vertex (vertices) The point where two lines or line segments intersect right angle An angle that measures 90° acute angle An angle that measures less than 90° obtuse angle An angle that measures more than 90° straight angle An angle that measures 180° triangle A 2D plane polygon with three sides and three angles right triangle A triangle with a 90° angle at one of its vertices obtuse triangle A triangle with an obtuse angle at one of its vertices acute triangle A triangle with all acute angles equilateral triangle A triangle with all equal sides and angles isosceles triangle A triangle with two equal sides and one different side scalene triangle A triangle with no equal sides quadrilateral A polygon with four sides parallel Two lines which never intersect trapezoid A quadrilateral with only one set of parallel sides parallelogram A quadrilateral with two sets of parallel sides rectangle A parallelogram with all equal angles rhombus A parallelogram with all equal sides  square A rectangle with all equal sides and a rhombus with all equal angles regular polygon A polygon with all equal sides and all equal angles irregular polygon A polygon which does not have all equal sides and all equal angles pentagon A regular polygon with five sides hexagon A regular polygon with six sides heptagon A regular polygon with seven sides octagon A regular polygon with eight sides decagon A regular polygon with ten sides supplementary angle Two angles which measure 180° when their angle measures are added together complementary angle Two angles which measure 90° forming a right angle when their measures are added together adjacent angle Angles which are side by side and share a vertex internal angle The angle inside a single polygon"s sides external angle The supplementary angle to the internal angle dimensions The measures of the sides perimeter The measure around the outside of a polygon p=2×(l+w) / Perimeter = 2 × (length + width) area The measure of the inside of a polygon a=l×w (area= length × width) perpendicular Intersecting lines which form 90° internal angles line Extends infinitely in both directions line segment A portion of a line between points ray A line segment which begins at a point and extends infinitely in one direction line symmetry A shape shows line symmetry when it can be bisected by a line and both sides are identical rotational symmetry A shape shows rotational symmetry when it can be rotated and be identical to the original shape at some angle other than 0° or 360°. diagonal A line segment with end points at vertices in the side of a 2D polygon 