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68 Cards in this Set
- Front
- Back
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What is a mixed number?
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A mixed number is the sum of a whole number and a fraction.
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Why is it impossible to draw a mathematical line?
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It is impossible to draw a mathematical line because it is a straight line that has no width and no ends.
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How do we show a location on a mathematical line?
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To show the location of a mathematical line, we draw a pencil line and put arrowheads on both ends to emphasize that the mathematical line goes on and on in both directions.
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What is a line segment?
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A line segment is a part of a line. It contains the endpoints and all points between the endpoints.
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How do we show the location of a line segment?
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To show the location of a line segment, we use a pencil line with no arrowheads. We name a segment by naming the endpoints of the segment.
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Tell me about intersecting lines.
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If two lines cross, we say that the lines intersect.
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Tell me about the Point of Intersection.
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The point of intersection is the place where the lines cross.
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Tell me about parallel lines.
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Parallel lines are two lines in the same plane that do not intersect.
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Tell me about perpendicular lines.
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If two lines make square corners at the point of intersection, we say that the lines are perpendicular.
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Tell me about right angles.
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Right angles are the angles made by perpendicular lines.
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Tell me about a straight angle.
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A straight angle is formed by two right angles.
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Tell me about an acute angle.
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An acute angle is an angle that is smaller than a right angle.
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Tell me about an obtuse angle.
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An obtuse angle is an angle greater than a right angle, but less than a straight angle.
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How many degrees does a right angle measure?
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A right angle measures 90 degrees.
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How many degrees does a straight angle measure?
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A straight angle measures 180 degrees.
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How many degrees does a circle measure?
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A circle measure 360 degrees.
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Tell me about a polygon.
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A polygon is a simple, closed, flat geometric figure whose sides are line segments.
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Tell me about the attributes of a polygon.
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1. Each segment of a polygon is called a side.
2. Each endpoint of a side is called a vertex of the polygon. The plural of vertex is vertices. 3. For a polygon, the number of sides is always equal to the number of vertices. |
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Tell me about a concave polygon.
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A concave polygon is a polygon that has an indentation. (a cave)
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Tell me about a convex polygon.
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A convex polygon does not have an indentation.
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Tell me about an equilateral polygon.
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An equilateral polygon is a polygon whose sides all have equal length.
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Tell me about an equiangular polygon.
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An equiangular polygon is a polygon whose angles all have equal measure.
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Tell me about a regular polygon.
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A regular polygon is a polygon in which all sides have the same length and all angles have the same measure.
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What is the sum of the measures of the three angles in any triangle?
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The sum of the measures of the three angles in any triangle is 180 degrees.
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Tell me about a right triangle.
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A right triangle is a triangle that has a right angle.
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Tell me about an acute triangle.
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An acute triangle is a triangle in which all the angles are less than 90 degrees. (all angles are acute)
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Tell me about an obtuse triangle.
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An obtuse triangle is a triangle which contains an obtuse angle. (greater than 90 degrees)
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Tell me about an equiangular triangle.
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An equiangular triangle is a triangle in which the measures of all the angles are equal. (Each angle in an equiangular triangle must have a measure of 60 degrees.)
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Tell me about an isosceles triangle.
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An isosceles triangle is a triangle that has at least two sides of equal length.
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Tell me about an equilateral triangle.
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An equilateral triangle is a triangle in which the lengths of all sides are equal.
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Tell me about a scalene triangle.
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A scalene triangle is a triangle that has no sides of equal length.
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What are five types of quadrilaterals?
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Five types of quadrilaterals are:
1.Parallelogram 2.Trapezoid 3. Rectangle 4. Rhombus 5. Square |
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Tell me about a parallelogram.
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A parallelogram is a quadrilateral that has two pairs of parallel sides.
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Tell me about a trapezoid.
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A trapezoid is a quadrilateral that has exactly two parallel sides.
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Tell me about a rectangle.
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A rectangle is a parallelogram with four right angles.
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Tell me about a rhombus.
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A rhombus is an equilateral parallelogram.
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Tell me about a square.
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A square is a rhombus with four right angles.
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Tell me about perimeter.
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Perimeter is the distance around the outside of a closed, planar geometric figure.
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Tell me about the radius of a circle.
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The radius of a circle is the distance from the center of the circle to any given point on a circle.
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Tell me about the diameter of a circle.
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In reference to a circle, the length of a chord of a circle that passes through the center of the circle. The diameter of a circle is twice the length of the radius.
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Tell me about the circumference of a circle.
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The circumference of a circle is the distance around a circle. (the perimeter)
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What is an irrational number?
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An irrational number is a number that cannot be written as a quotient of integers.
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What is pi?
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Pi is the ratio of the circumference of a circle to the diameter of that circle. Pi ~ 3.14.
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What is a number?
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A number is an idea.
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What is a numeral?
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A numeral is a single symbol or a collection of symbols that we use to express the idea of a particular number.
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What is the value of a numeral?
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The value of a numeral is the number represented by the numeral, and we see that the words 'value' and 'number' have the same meaning.
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Tell me about the decimal system.
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The decimal system is the system of numeration that we use to designate numbers. The decimal system uses 10 symbols that we call digits.
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What are natural numbers (or counting numbers)?
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Natural numbers (or counting numbers) are the numbers that we use to count objects or things.
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What is a positive real number?
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A positive real number is any number that can be used to describe a physical distance greater than zero.
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Tell me about the number zero.
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The number zero is not a positive number. It is a real number.
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What is a real number?
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A real number isthe set of numbers that includes all members of the set of rational numbers and all members of the set of irrational numbers.
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Tell me about negative numbers.
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Negative numbers are real numbers. Every positive number has a negative counterpart, and we call these numbers negative real numbers. We must always use a minus sign when we designate a negative number.
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What is a number line?
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A number line is a line divided into units of equal length with one point chosen as the origin, or zero point. The numbers to the right of zero are the positive real numbers, and the numbers to the left of zero are the negative real numbers.
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Tell me about graphing a number.
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We graph a number when we place a dot on the number line to indicate the location of a number. The number is said to be the coordinate of the pint that we hae graphed.
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Why do we use a number line?
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We use the number line to tell if one number is greater than another number by saying that a number is greater than another number if its graph lies to the right of the graph of the other number.
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How are fractions multiplied?
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Fractions are multiplied by mutiplying the numerators to get the new numerator, and by multiplying the denominators to get the new denominator.
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How do we divide fractions?
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We divide fractions by inverting the divisor and then multiplying.
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How do we multiply or divide mixed numbers?
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We change mixed numbers to improper fractions and then multiply or divide as indicated.
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What are the four basic operations of algebra?
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The four basic operations of algebra are:
1. addition 2. subraction 3. multiplication 4. division |
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In an addition problem, what are the addends? What is the sum?
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The addends are the numbers to be added. The sum is the result of the addition problem.
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In a subtraction problem, what is the minuend, the subtrahend and the difference?
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We call the first number the minuend; the second number, the subtrahend; and the result, the difference.
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Tell me about multiplication.
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If two numbers are to be multiplied to achieve a result, each of the numbers is called a factor and the result is called a product.
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What is the product of a particular real number and the number 1?
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The product of a particular real number and the number 1 is the particular number itself.
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What is the product of any real number and the number zero?
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The product of any real number and the number zero is the number zero.
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Explain the terms dividend, divisor and quotient.
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The dividend is the number or quantity divided by another number. The divisor is a number or quantity that divides another number or quantity. The quotient is the result of dividing one number or quantity by another number or quantity.
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What is the numerator?
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The numerator is the number or quantity above the fraction bar in a fraction; i.e. the dividend of the fraction.
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What is the denominator?
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The denominator is the number or quantity under the fraction bar in a fraction; i.e. the divisor in a fraction.
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Tell me about a unit multiplier.
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A unit multiplier is a fraction that has units and has a value of 1. Unit multipliers are used to change the unit of a number.
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