Bar graph | A graph that uses horizontal or vertical bars to represent data visually.
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base of prism | Any face of a prism that reflects the general shape of the prism.
(See page(s) 246)
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circle graph | A graph that represents data using sections of a circle. The sum of the percents in a circle graph is 100%.
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combined percents | Adding individual percents together.
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commutative property | The order of adding or multiplying quantities does not affect the result.
a + b = b + a a x b = b x a
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constant | A number that does not change.
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cylinder | A three-dimensional object with two parallel and congruent circular bases.
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(See page(s) 182)
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distort | To change the appearance or twist the meaning of something in a way that is misleading.
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distributive property | Multiplication of each term inside the brackets of an expression by the term outside the brackets: a(b + c) = a x b + a x c
= ab + ac
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double bar graph | A graph that uses two sets of horizontal or vertical bars to compare two sets of data across categories.
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double line graph | A graph that uses two lines to represent changes of two sets of data over time.
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edge | A line segment where two faces meet.
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equation | A mathematical statement with two expressions that have the same value. The two expressions are separated by an equal sign. 3a – 2 = 4 is an equation.
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expression | Any single number, single variable, or combination of operations ( +, –, ×, ÷) involving numbers and variables. An expression does not include an equal sign. x + 9,
2y – 7, 8t, and 5 are expressions.
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face | A flat or curved surface.
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favourable outcome | A successful result in a probability experiment.
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formula | A mathematical statement that represents the relationship between specific quantities. An example is C = π × d, where C is the circumference and d is the diameter of a circle.
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fractional percent | A percent that includes a portion of a percent, such as | (0.0K) | %, 0.42%, | (0.0K) | % | (3.0K)
(See page(s) 126)
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height | The perpendicular distance from the base to the opposite side. Common symbol is h.
(3.0K)
(See page(s) 246)
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hypotenuse | The longest side of a right angle triangle. Opposite the right angle.
(2.0K)
(See page(s) 89)
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improper fraction | A fraction in which the numerator is greater than the denominator. | (0.0K) | is an improper fraction. |
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independent events | Results in which the outcome of one event has no effect on the outcome of another event.
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integer | Any of the numbers ..., –3, –2, –1, 0, 1, 2, 3, ...
(See page(s) 410)
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interval | The spread between the smallest and the largest numbers in a range of numbers.
(See page(s) 6)
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line graph | A graph that uses a line to represent changes in data over time.
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linear equation | An equation that, when graphed, results in points that lie along a straight line.
(See page(s) 371)
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linear relation | A pattern made by a set of points that lie in a straight line.
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mixed number | A number made up of a whole number and a fraction, such as | (0.0K) | . |
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net | A two-dimensional figure, that, when folded, encloses a 3-D object.
(2.0K)
(See page(s) 170)
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numerical coefficient | A number that multiplies the variable. In 2x + 4, the number 2 is the numerical coefficient.
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opposite operation | A mathematical operation that undoes another operation. Subtraction and addition are opposite operations; multiplication and division are opposite operations. Also called inverse operation.
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order of operations | The correct sequence of steps for a calculation. Brackets first, then multiply and divide in order from left to right, and then add and subtract in order from left to right.
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orientation | The different position of an object formed by translating, rotating, or reflecting the object.
(See page(s) 248)
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part-to-part ratio | Compare different parts of a group to each other.
(See page(s) 48)
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part-to-whole ratio | Compare one part of a group to the whole group. Can be written as a : b or | (0.0K) | . |
(See page(s) 48)
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percent | Means out of 100 and is another way of saying hundredths. 30% means | (0.0K) | or 0.30. | (4.0K)
(See page(s) 122)
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perfect square | A number that is the product of two identical factors. It has an even number of prime factors. 2 × 2 = 4 is a perfect square. 2 × 2 × 3 × 3 = 36, so 36 is a perfect square.
(See page(s) 82)
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pictograph | A graph that illustrates data using pictures and symbols.
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plane | A two-dimensional flat surface that extends in all directions.
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prime factorization | A number written as the product of its prime factors. The prime factorization of 6 is 2 × 3.
(See page(s) 82)
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probability | The likelihood or chance of an event occurring. Probability can be expressed as a ration, a fraction, or a percent.
(See page(s) 410)
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proper fraction | A fraction in which the denominator is greater than the numerator. | (0.0K) | is a proper fraction. |
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proportion | An equation that says that two ratios or two rates are equal. It can be written in fraction form as | (0.0K) | or in ratio form as 1 : 4 = 4 : 16. |
(See page(s) 64)
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Pythagorean relationship | The relationship between the lengths of the sides of a right triangle. The sum of the areas of the squares attached to the legs of the triangle equals the area of the square attached to the hypotenuse.
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(See page(s) 90)
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rate | A comparison of two quantities measured in different units. $1.69 per 100 grams or $1.69/11 g is a rate for purchasing bulk food. 72 beats per minute or 72 beats/min is a heart rate.
(See page(s) 55)
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reciprocal | The multiplier or a number to give a product of 1. | (0.0K) | is the reciprocal of | (0.0K) | because | (0.0K) | . |
(See page(s) 224)
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rectangular prism | A prism whose bases are congruent rectangles.
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(See page(s) 170)
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right prism | A prism that has sides that are perpendicular to the bases of the prism.
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sample space | All possible outcomes of a probability experiment.
(See page(s) 411)
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sign rules | In division, the quotient of two integers with the same sign is positive, and with different signs is negative. In multiplication, the product of two integers with the same sign is positive, and with different signs is negative.
(See page(s) 294)
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square root | A number that when multiplied by itself equals a given value. The symbol is (0.0K) . 9 is the square root of 81 because 9 × 9 = 81.
(See page(s) 83)
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surface area | The number of square units needed to cover a 3-D object. The sum of the areas of all the faces of an object.
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(See page(s) 177)
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table of values | A chart showing two sets of related numbers.
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tessellation | A pattern that covers an area or plane without overlapping or leaving gaps. Also called a tiling pattern.
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(See page(s) 446)
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three-term ratio | Compares three quantities measured in the same units. Can be written as a : b : c, or a to b to c.
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(See page(s) 47)
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tiling pattern | A pattern that covers an area or plane without overlapping or leaving gaps. Also called a tessellation.
(See page(s) 446)
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tiling the plane | Using repeated congruent figures to cover an area without leaving gaps or overlapping.
(See page(s) 446)
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transformation | A change in a figure that results in a different position or orientation. Examples are transformations, reflections, and rotations.
(See page(s) 452)
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trend | The general direction in which a line graph is going.
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triangular prism | A prism with two triangular faces that are the same size and shape.
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(See page(s) 172)
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two-term-ratio | Compares two quantities measured in the same units. Can be written as
a : b or a to b.
(6.0K)
(See page(s) 47)
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unit price | A unit rate that involves prices. Often shown per 100 g or 100 mL. $5.00 per 100 g is a unit price.
(See page(s) 58)
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unit rate | A rate in which the second term is 1. 64 beats/min is a unit rate.
(See page(s) 56)
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variable | A letter that represents an unknown number. In 3a – 5, the variable is a.
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vertex | The point where three or more edges of a figure meet. The plural is vertices.
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volume | The amount of space an object occupies. Measured in cubic units.
(See page(s) 247)
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zero pair | A pair of integer chips with one chip representing +1 and one chip representing –1. The pair represents zero because (+1) + (–1) = 0. Any whole number of zero pairs represents zero.
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