1. Additive Relationship

2. Additive Relationship
Additive Relationship is a relationship among a set of ordered pairs in which the same value is added to each “X-” value to find the corresponding “Y” value.

3. Additive Relationship

5. Additive Relationship
Does the rule “Y = Ax” represent the Additive Relationship?
Does the graph of “Y=X+A” represent the Additive Relationship?
Is the Rule: Y=3/2x and example of an Additive Relationship?

6. Multiplicative Relationship

7. Multiplicative Relationship
Multiplicative relationship is a relationship among a set of ordered pairs in which each x-value is multiplied by the same factor to find each corresponding y-value.

8. Multiplicative Relationship
Multiplicative relationship is a theme within ratio and proportional reasoning.

9. Multiplicative/Additive Relationships

10. Multiplicative Relationship
In the following table does the ratio 2/3 describe a multiplicative comparison of y to x? x 9 15 24 39 y 6 10 16 26

11. Dependent Quantity
Dependent Quantity is a quantity whose value is determined by the value of the related independent quantity.

12. Dependent Quantity

13. Dependent Quantity
The dependent quantity on a graph is represented by the y-axis.

14. In the ordered pair (-3, 4) is the -3 the dependent quantity?
On a coordinate grid, the horizontal axis represents the dependent quantity?
On the coordinate grid, the vertical axis represents the dependent quantity?

15. Independent Quantities

16. Independent Quantities
Independent quantity is a quantity whose value determines that of a dependent quantity.

17. Independent Quantities

18. Independent Quantities
The independent quantity on a graph is represented by the X –axis on a coordinate grid.

19. Independent Quantities
In the ordered pair (-3, 4) is the -3 the independent quantity?
On a coordinate grid, the horizontal axis represents the independent quantity?
On the coordinate grid, the vertical axis represents the independent quantity?

20. Input – Output Table

21. Input – Output Table
An input output table is a table of values that follows a rule; used to show the pattern in “X-” Values and their corresponding “Y-” Values

22. Input – Output Table

23. The Output of a table varies depending on the values of the input.
Input – Output Table
The Output of a table varies depending on the values of the input.

24. Constant

25. Constant
The Constant is a number that does not vary; for example, in the expression “X+5”, 5 is a constant.

26. Constant

27. Constant In the expression 5x is 5 a constant?
In the expression 3y+2, is 2 a constant?
Can a constant be represented by a letter?

28. Coordinate Plane
The plane determined by a horizontal number line, called the x-axis, and a vertical number line, called the y-axis, intersecting at a point called the origin. Each point in the coordinate plane can be specified by an ordered pair of numbers.

29. linear
Linear equation is the equation for the straight line in which each term is the constant or product of a constant.

30. y-intercept
The value where a straight line crosses the Y axis of a graph.