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A function can be represented by a list of ordered pairs. {(-1, 2), (-2, 3), (-3, 4), (-4, 5)}

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Presentation on theme: "A function can be represented by a list of ordered pairs. {(-1, 2), (-2, 3), (-3, 4), (-4, 5)}"— Presentation transcript:

1 A function can be represented by a list of ordered pairs. {(-1, 2), (-2, 3), (-3, 4), (-4, 5)}

2 scalene triangle A triangle with no congruent sides. Scalene Not Scalene

3 reflection A transformation that reflects, or “flips”, a graph or figure across a line, called the line of reflection. Line of reflection

4 A function can be represented by a verbal description. Use words to describe the functional relationship. xy 2 04 16 The y-values for a set of points are 4 more than twice the corresponding x-values.

5 isosceles triangle A triangle with at least two congruent sides.

6 opposite of a number The opposite of a number a, designated –a, is the number that is the same distance from zero as a, on the opposite side of the number line. The sum of opposites is 0. -3 is the opposite of 3 -3 + 3 = 0 -3 3

7 square root A number that is multiplied by itself to form a product is called a square root of that product. Square root symbol: Ex: 5 x 5 = 25, so

8 translation A translation is a transformation that shifts or “slides” every point of a figure or graph the same distance in the same direction. Quad ABCD  Quad A’B’C’D’

9 A function can be represented by a graph. Graph the ordered pairs and the line that contains them. xy -2-7 -5 0-3 1 21

10 domain The set of all values of the independent variable or all the x-coordinates in a function’s ordered pairs. Ex: {(0, 1), (2, 5), (3, 6), (4, 9)} Domain: {0, 2, 3, 4}

11 dilation A transformation that is a proportional enlargement or reduction of a figure through a point called the center of dilation. Scale factor - Size of enlargement or reduction An enlargement has a scale factor > 1. Triangle ABC is transformed into triangle A’B’C’ by the dilation using scale factor of 2 The origin is the center of dilation.

12 range The set of all values of the dependent variable or all the y-coordinates in a function’s ordered pairs. Ex: {(0, 1), (2, 5), (3, 6), (4, 9)} Range: {1, 5, 6, 9}

13 A function can be represented by a table. xy 5 03 11 2 f(x) = -2x + 3

14 midpoint of a line segment Point that lies halfway between the segment’s endpoints and divides it into two congruent parts To find the midpoint, find the average of the coordinates of the endpoints of the line segment

15 probability Probability is a measure of how likely an event is to occur. Probability of an event occurring must be from 0 to 1. Ex: A number cube has faces numbered from 1 to 6. The probability of rolling an odd number is 3 out of 6, or.

16 Simplifying expressions Simplifying expressions uses commutative, associative, and distributive properties to remove parentheses and combine like terms. Like terms in an algebraic expression can be combined. Remember that the expressions m 2 and 1m 2 are equivalent. Simplify the expression: m 2 + 5 – 5m 2 – 1. m 2 + 5 – 5m 2 – 1 = (1m 2 – 5m 2 ) + (5 – 1) m 2 + 5 – 5m 2 – 1 = –4m 2 + 4

17 Prism Three dimensional figure with two bases that are congruent polygons and faces that are rectangular polygons, called lateral faces. Prisms are named by the shape of their base.

18 Net of a three-dimensional figure A two dimensional drawing that shows what a figure would look like when opened up and unfolded with its surfaces laid out flat.

19 translation A transformation that shifts or “slides” every point of a figure or graph the same distance in the same direction.  FGH is translated 5 units to the right and 3 units down to  F’G’H’.

20 Cylinder Three-dimensional figure with two congruent circular bases and a curved surface Base Curved surface

21 dilation A transformation that is a proportional enlargement or reduction of a figure through a point called the center of dilation A reduction has a scale factor < 1. Triangle ABC is transformed into triangle A’B’C’ by the dilation using scale factor of ½. The origin is the center of dilation.

22 Cross product One way to solve a proportion is to use the cross product.

23 Rational Numbers Numbers that can be written as the ratio of two integers,, where b  0. Integers are the set of all positive and negative whole numbers, and zero. Rational NumbersNot Rational Numbers -7, 24%, 0.2, ,

24 event Examples: Flipping a coin and it landing on heads Rolling two number cubes, numbered 1 – 6 and getting ones on both cubes An outcome or set of outcomes in a probability experiment.

25 axis of symmetry A line that divides a plane figure or a graph into two congruent reflected halves Also called line of reflection Axis of symmetry (line of reflection)


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