learn vocabulary and math facts/solve math problems on weekly math newsletter
    Students will be tested most Friday on the information presented on the summary newsletter
    required 15 to 30 minutes of at home reading from their IRLA book

    Why I Don’t Give a lot of  Homework

    While students are asked to read nightly, to study the math facts for addition, subtraction, multiplication, and division, close read weekly science or social studies news, and review weekly math summary, I do not assign extra ‘homework’. (Reading is the BEST way to learn and studying math facts is so important~ it is the foundation for ALL math)


    So why don’t I give a lot of  ‘homework’?

    Because school is for students, and home is for children. Children are still learners at home.  A learner does not need time-wasting, rote, and repetitive tasks. Children should not be overloaded with demands from teachers after working diligently in school all day.  Children should play at home.  They should have the time to participate in activities that exercise the body as well as the mind.  The learner should be encouraged to read to better understand the world around them and develop their overall intelligence.  Children should have the time to interact with families in a developmental ‘fun’ way instead of time wasted ‘being stressed (parents and child) completing homework’.  Children should have the time to learn through everyday household routines.  Above all, children should have the time to value their relationships and time to learn from those around them.  This is the most important ‘homework’ of all.


    So, I don’t give a lot of homework.  I would rather see my students be children who are still learners when the dismissal bell rings.


    Mrs. Sullivan

    Math Links
     4TH GRADE MATH VOCABULARY: X in 1st Column-4th grade Word...X in second column-5th grade word
    acute angle An angle that measures between 0 degrees and 90 degrees.   x x
    acute triangle A triangle that has three acute angles (all 3 angles measure between 0 degrees and 90 degrees).   x x
    addend A number that is added to another number in an addition problem.   x x
    addition To join two or more numbers to get one number.   x x
    algebraic expression An expression consisting of one or more numbers and variables along with one or more arithmetic operations. x x
    algorithm A step-by-step problem solving procedure for solving math problems.      
    angle A shape formed by two line segments or rays that share the same endpoint.   x x
    angle measurement Angles are typically measured in degrees.   x  
    area The measure of the number of unit squares needed to cover the surface of a two-dimensional figure.   x x
    area model A model for multiplication problems, in which the length and width of a rectangle represents the factors. x  
    array An arrangement of objects in rows and columns.   x x
    Associative Property of Addition Grouping the addends in different ways does not change the sum. Example: 3 + (7+5) = (3+7) + 5.   x x
    Associative Property of Multiplication Grouping the factors in different ways does not change the product. Example: 2 x (5x6)= (2x5) x 6.   x x
    balance To equalize in weight or number.     x
    bar graph A graph where data is shown in bars to compare amounts, statistics, etc.     x
    base (arithmetic) A number uses as a repeated factor.     x
    base (geometry) The base is the edge in a polygon perpendicular to the height. The bases of a prism are two congruent parallel lines. x
    base ten numerals The decimal number system that has ten as its base.   x  
    benchmark A familiar number used as a point of reference.     x
    benchmark decimals Familiar decimals that are used as reference points.     x
    benchmark fractions Common fractions that you can judge other fractions against. Example: 1/4, 1/2, 3/4   x x
    bracket Symbols used in pairs to group things together.  Example: (  ), [  ], <   >   x  
    calculation A mathematical determination of the size or number of something.   x  
    capacity The amount a container can hold when filled.   x x
    category A collection of things sharing a common attribute.   x  
    Celsius A metric scale used for measuring temperature.     x
    centimeter A metric unit used to measure length or distance.   x x
    classify Sort into categories or arrange into groups according to similar attributes.   x  
    closed figure A figure that begins and ends at the same point.     x
    common denominator A shared multiple of the denominators of two or more fractions.     x
    common factor A  number that is a factor of two or more numbers.     x
    common multiple A number that is a multiple of two or more numbers.     x
    Commutative Property of Addition When the order of two addends is changed, the sum will be the same. Example a + b = b + a   x x
    Commutative Property of Multiplication When the order of two factors is changed, the product will be the same. Example: a x b = b x a   x x
    compare Examine numbers to decide if one is greater/less than the other (s) or if numbers are equal.   x  
    compatible numbers Numbers that are easy to compute mentally (friendly numbers).     x
    composite number Numbers having three or more factors Example: 6 because it has four factors: 1,2,3,6.   x x
    computation algorithm A set of predefined steps that gives the correct result in every case when steps are carried out correctly. x  
    concrete models Using concrete objects to model problems.   x  
    cone A three-dimensional shape with only one vertex having a circular base.     x
    congruent Having the same size and shape.     x
    convert To change one unit to another. Example: 1 cm = 10 mm   x  
    coordinate grid A grid formed by a horizontal line (x-axis) and a vertical line (y-axis).     x
    coordinate point A point placed on the coordinate grid.     x
    cube A three dimensional figure (rectangular prism) with six congruent square faces.   x x
    cubic unit Units used for measuring volume.   x x
    cup © A customary unit used to measure capacity. Example: 8 ounces=1 cup   x x
    cylinder A three-dimensional shape with two congruent parallel circular bases joined by a curved surface.   x x
    data Collected information.   x x
    decagon A polygon with 10 sides and 10 angles.     x
    decagonal prism A three dimensional figure with two decagonal bases and ten rectangle faces.     x
    decimal A number with one or more digits to the right of the decimal point.   x x
    decimal notation A representation of a fraction or other real number using the base ten and consisting of any digits 0- 9, and a decimal point. x  
    decimal point A symbol used to separate whole numbers from the fractional parts.   x x
    decimeter metric measurement-- 1/10 of a meter= 1 decimeter.   x x
    decompose Exchanging one 100 for ten 10s or one 10 for ten 1s.   x  
    degree A unit used to measure angles and temperature.   x x
    decameter Metic measurement-- 10 meters= 1 decameter.     x
    denominator The bottom number in a fraction that shows the total number of equal parts in the whole.   x x
    diagonal A line segment that connects two non-adjacent vertices.   x x
    difference What is found when one number is subtracted from another.   x x
    digit Any one of ten symbols used to write numbers (0,1,2,3,4,5,6,7,8,9).   x x
    dimension A measure in one direction.     x
    Distributive Property For all real numbers a, b, and c, a x (b+c)= a x b + a x c.   x x
    divide To separate into equal groups, opposite of multiplication.   x x
    dividend The larger number that is going to be divided into smaller equal groups by the divisor.   x x
    division The process of dividing- separating into equal parts.   x x
    divisor The number that divides the dividend (outside-sits on the visor).   x x
    edge The line segment where two faces of a solid figure meet.   x x
    elapsed time Time spent while an event is occurring. Example: 1 PM to 2:30 PM =  1 and a 1/2 hours of elapsed time.   x  
    endpoint The point at which a line ends or begins.   x x
    equal to  Having the same value.   x x
    equation A statement showing the equality of two expressions. A number sentence with an equal sign.   x x
    equilateral triangle A triangle with three congruent sides and angles.   x x
    equivalent Having the same value.   x x
    equivalent decimals Decimals that name the same amount.     x
    equivalent fractions Fractions that name the same amount or part.   x x
    estimate (noun) A number close to an exact amount.   x x
    estimate (verb) To find the approximate value or measurement of something.   x x
    evaluate To find the value of an algebraic or numerical expression.   x x
    even A whole number that has a 0,2,4,6,8 in the ones place.   x x
    expanded form A way to write numbers by showing the place value of each digit. Example: 254= 200+50+4   x x
    exponent A number that gives reference to the repeated multiplication required.     x
    expression A mathematical phrase that combine numbers, operation, or variable but does not have an equal sign.   x x
    face The flat surface of a solid figure that is formed by the edges of a three-dimensional object.   x x
    fact family A set of related equations-- multiplication and division or addition and subtraction.   x x
    factor A number multiplied by another number to find a product.   x x
    factor pairs A pair of two numbers that multiply together to be a specific third number. Example: 30 is {5,6}, {10,3}, {15,2} x  
    factorization The process of finding the factors of a given number.     x
    Fahrenheit A customary scale for measuring temperature.     x
    fluid ounce A customary unit used to measure liquid capacity (8 ounces=1 cup).   x x
    foot A customary unit used to measure length (12 inches =1 foot).   x x
    formula A set of symbols that expresses a mathematical rule. Example: P = l+w+l+w   A= l x w   x x
    fraction A number that names a part of a whole or a part of a group.   x x
    fraction greater than 1 A fraction that has a numerator greater than its denominator.   x x
    gallon A customary unit to measure capacity (4 quarts=1 gallon).   x x
    geometric shapes Regular polygons including square, triangle, pentagon, etc.   x  
    gram A metric unit used to measure mass (1,000 grams=1 kilogram).   x x
    greater than  A symbol (>) used to compare two numbers or quantities -- largest comes first.   x x
    greater than or equal to  A symbol used to compare two numbers or quantities -- the first is greater than or equal to the second.   x x
    greatest common factor The largest number common to each set of factors that divides both numbers exactly. Example: GCF of 10 and 20 is 10. x
    half of One of two equal parts of a whole.   x  
    height The length of a perpendicular line from the base to the top of a 2-D or 3-D shape.   x x
    heptagon A polygon with seven sides and seven angles.     x
    hexagon A polygon with six sides and six angles.   x x
    hexagonal prism A three dimensional shape with two hexagonal bases and six rectangular faces.     x
    horizontal Extending left and right.   x x
    hour Unit for measuring time. Example: 60 minutes = 1 hour   x  
    hundredth One of 100 equal parts.   x x
    identify Locate/find the correct response, information, or solution.      
    Identity Property of Addition When you add zero to any number the result is that number.   x x
    Identity Property of Multiplication The product of any number and 1 is that number.   x x
    illustrate Explain or make something clear by using pictures, charts, examples, etc.   x  
    improper fraction Fraction in which the numerator is greater than or equal to the denominator.      
    inch A customary unit used to measure length or distance (12 inches=1 foot).   x x
    inequality Not being of equal value/ a number sentence using one of the following symbols <, >, ≤, ≥, or ≠     x
    integer Whole numbers, positive or negative, including zero.     x
    intersect  Lines intersect when they cross.    x  
    intersecting lines Two lines with only one point in common.   x x
    interval The difference between one number and the next on the scale of a graph.     x
    inverse operations Opposite operations- operations that undo each other.   x x
    isosceles triangle A triangle with two congruent sides and two congruent angles.   x x
    key The part of a map or graph that explains the symbols.   x x
    kilogram A metric unit used to measure mass (1,000 grams=1 kilogram).   x x
    kilometer A metric unit used to measure length or distance (1,000 meters=1 kilometer).   x x
    lateral face Any surface of of a polyhedron other than the base.     x
    least common denominator The least common multiple of two or more denominators and LCD is needed when adding or subtracting fractions. x
    least common multiple The smallest number that is a common multiple of two or more numbers.     x
    length The measure of how long something is.   x  
    less than A symbol (<) used to compare two numbers (the smaller number is on the left).   x x
    less than or equal to  A symbol used to compare two numbers or quantities the first is less than or equal to the second.   x x
    line A straight path in a plane, extending in opposite directions with no endpoint. Example: <--------->   x x
    line graph  A graph that uses line segments to show how data changes over time.     x
    line plot A graph that shows frequency of data along a number line.   x x
    line segment A part of a line that includes two endpoints. Example: .--------------------.   x x
    line symmetry A line that divides a figure into two equal parts.   x x
    linear unit A measure of length, width, height, or distance.     x
    liquid volume The measurement of liquids or their containers.   x x
    liter A metric unit used to measure capacity (1 Liter=1,000 milliliters).   x x
    lowest terms A fraction is in lowest terms when the only common factor of the numerator and denominator is one.      
    mass The amount of matter in an object.   x x
    mean Also called average- Add up the the series of numbers and divide the sum by the number of values.     x
    measure To find size, length or amount of something.   x  
    median The middle number- When numbers are listed in sequential order it is the number in the middle.     x
    meter A metric unit used to measure length or distance (1,000 mm= 1 m).   x x
    mile  A customary unit used to measure length or distance (5,280 ft=1 mile).   x x
    milligram  A metric unit used to measure mass (1,000 milligrams= 1 gram).     x
    milliliter A metric unit used to measure capacity (1 Liter=1,000 milliliters).   x x
    millimeter A metric unit used to measure length or distance (1,000 millimeter=1 meter).   x x
    million 1,000 thousands    x x
    minute Unit for measuring time. Example: 60 minutes = 1 hour.   x  
    mixed number A number made up of a whole number and a fraction.   x x
    mode The most frequently seen number in a series.     x
    multi-digit number A numeral made up of two or more digits.   x  
    multiple Numbers that are products of a given number. Example: 6: 6, 12, 18, 24, 30   x x
    multiplication The process that combines equal-sized groups as opposed to repeated addition. Example: 5x3=5+5+5   x x
    multiply Combining of equal groups, the opposite of division.   x x
    nonagon A polygon with nine sides and nine angles.     x
    not equal to  A symbol indicating one quantity is not equal to the other.     x
    number line A line in which points all correspond to numbers.   x x
    number sentence Writing an equation or expression horizontally.   x  
    numeration The action or process of calculating or assigning a number to something.   x  
    numerator The top number of a fraction that represents a portion or part of the denominator.   x x
    numerical expression A mathematical phrase that uses only numbers and operations.   x x
    obtuse angle An angle whose measure is greater than 90° and less than 180°.   x x
    octagon A polygon with eight sides and eight angles.   x x
    octagonal prism A three dimensional figure with two octagonal bases and eight rectangular faces.     x
    odd A whole number that has 1, 3, 5, 7, or 9 in the ones place.   x x
    open figure A figure that does not begin and end at the same point.     x
    operations Mathematical action performed on numbers to produce a result. Ex: addition, subtraction, square roots   x  
    order of operations Special set of rules that give the order in which calculations are done in an expression (PEMDAS).   x x
    ordered pairs A pair of numbers used to locate a point on a grid, the first number tells x-axis and the second tells y- axis.   x
    origin The point where the two axes of a coordinate plane intersect (0,0).     x
    ounce A customary unit used to measure weight (16 ounces= 1 pound).   x x
    overestimate An estimate that is greater than the exact answer.     x
    parallel lines Lines in the same plane that never intersect and are always the same distance apart.   x x
    parallelogram A quadrilateral whose opposite sides are parallel and congruent.   x x
    parentheses The symbols used to show which operations in an expression should be done first (brackets).   x x
    partial product Multiplying the ones, tens, hundreds ,etc... separately, then the products are added together.   x x
    partial quotient Dividing by subtracting multiples of the divisor from the dividend and then quotients are added together.   x
    pattern A repeated, growing sequence according to a rule.   x x
    pentagon A polygon with five sides and five angles.   x x
    pentagonal prism A three dimensional figure with two pentagonal bases and five rectangular faces.     x
    pentagonal pyramid A pyramid with a pentagonal base and five triangular faces.     x
    perimeter The distance around a closed figure.   x x
    period Each group of three digits separated by commas in a multi digit number.   x x
    perpendicular lines Two lines that cross at exactly 90° or right angles.   x x
    picture graph A graph that displays countable data with symbols or pictures.     x
    pint A customary unit used to measure capacity (2 cups =1 pint).   x x
    place value  The value of each digit in a number based on the location of the digit.   x x
    plane A flat surface that extends without end in all directions.     x
    point An exact location in space.   x x
    polygon A closed plane figure formed by three or more line segments. Example: triangle, square, rectangle.   x x
    polyhedron A solid figure with faces that are polygons.     x
    pound A customary unit used to measure weight (16 ounces= 1 pound).   x x
    prime number A number that has exactly two factors: 1 and itself. Example: 13 has only 13 and 1 as factors.   x x
    prism A solid figure that has two congruent polygon shaped bases, and the other faces are all rectangles.   x x
    product The answer to a multiplication problem.   x x
    protractor A tool used for measuring and drawing angles.   x x
    pyramid A solid figure with a polygon base and all other faces are triangles that meet at a common vertex.   x x
    quadrilateral A polygon with four sides and four angles.   x x
    quantity Certain number or amount of something.   x  
    quart A customary unit used to measure capacity (2 pints= 1 quart).   x x
    quotient The solution to a division problem.   x x
    range The difference between the greatest and least numbers in a group.     x
    ray A part of a line, it has one endpoint and continues in one direction.   x x
    reasonableness Validating a solution by comparing it to an estimated result.   x x
    rectangle A parallelogram with four right angles.   x x
    rectangular prism A three dimensional figure where all six faces are rectangles.   x x
    rectangular pyramid A pyramid with a rectangular base and four triangular faces.     x
    regroup To exchange amounts of equal value to rename a number.   x x
    regular polygon A polygon in which all sides are congruent and all angles are congruent.     x
    related facts A set of related number sentences ( 4x7=28 and 28÷7=4).     x
    remainder The amount left over when a number cannot be divided equally.   x x
    represent When numbers, letters, pictures, symbols,…stand for an amount, value, or solution      
    rhombus A parallelogram with four congruent sides.   x x
    right angle An angle that forms a square corner and measures 90°.   x x
    right triangle A triangle that has a right angle.   x x
    rounding To replace a number with one that is approximately the same size.   x x
    scale Relationship between measurements on a drawing/ model and the measurements of the real object.     x
    scalene triangle A triangle with no congruent sides or angles.   x x
    second A small unit of time (60 seconds= 1 minute).   x x
    sequence An ordered list of numbers that are in a special order. Example: 2, 4, 8, 16, 32.   x x
    simplest form A fraction where the numerator and denominator have only 1 as the common factor.   x x
    skip count A pattern of counting forward or backward.   x x
    solid figure A figure having length, width, and height.   x x
    solution A value that makes an equation true.   x x
    sphere A solid figure whose curved surface is the same distance from the center to all its points.   x x
    square A polygon with four congruent sides and four right angles.   x x
    square pyramid A solid figure with a square base and four triangular faces that have a common vertex.     x
    square unit A unit used to measure area- such as square feet (ft2) or square meter (m2).   x x
    standard form A way to write numbers by using the digits 0-9, with each digit having a place value.   x x
    straight angle An angle whose measure is 180°.   x x
    subtraction Take one quantity away from another.   x x
    sum The answer to an addition problem.   x x
    symbol An image used instead of words. Example: Use + instead of plus.   x  
    tablespoon A customary unit used to measure capacity (3 teaspoons=1 Tablespoon).     x
    tally table A table that uses tally marks to record data.     x
    tape diagram Visual models that use rectangles to represent quantities in an equation.   x x
    teaspoon A customary unit used to measure capacity (3 teaspoons=1 Tablespoon).     x
    tenth One of ten equal parts (1/10).   x x
    term A number in a sequence.     x
    thousandth One of one thousand equal parts (1/1,000).   x x
    three-dimensional Measured in three dimensions- length, width, and height.   x x
    ton A customary unit used to measure weight (2,000 pounds= 1 Ton).   x x
    trapezoid A quadrilateral with exactly one pair of parallel sides.   x x
    triangle A polygon with three sides and three angles.   x x
    triangular prism A solid figure that has two triangular bases and three rectangular faces.     x
    triangular pyramid A pyramid that has a triangular base and three triangular faces.     x
    two-dimensional A figure that lies in a plane- having length and width but not height.     x
    underestimate An estimate that is less than the exact amount.     x
    unit A quantity used as a standard of measurement.   x  
    unit cube A cube that has a length, width, and height of 1.   x x
    unit form Expressing numbers in words and numbers. Example: 423= 4 hundred+ 2 tens + 3 ones.   x  
    unit fraction A fraction that has 1 as a numerator.     x
    unit square A square whose sides have a length of 1.   x  
    values A numbers worth. The meaning of a number.      
    variable  A letter or symbol that stands for an unknown number or numbers in an equation.   x x
    vertex The point where two or more rays or line segments meet.   x x
    vertical Extending up and down.   x x
    volume The amount of space a three-dimensional object occupies. Measured in cubic units.   x x
    whole number A whole number that doesn't contain a fraction. Includes 0, 1, 2, 3, 4…   x x
    word form A way to write numbers in standard English.   x x
    x-axis The horizontal number line on a coordinate plane.     x
    x-coordinate The first number in a ordered pair, tells how far to move left or right from (0,0).     x
    yard A customary unit used to measure length or distance (3 feet= 1 yard).   x x
    y-axis The vertical number line on a coordinate plane.     x
    y-coordinate The second number in an ordered pair, tells how far to move up or down from (0,0).     x
    Zero Property of Multiplication The property that states- when you multiply by zero the product is zero.   x x
Last Modified on April 24, 2019