Topic+Sixteen

= Topic Sixteen: Coordinate Geometry =
 * ~ = Desired Results = ||
 * __Transfer:__

//** 1. Makes sense of problems and persevere in solving them. **// 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. //** 7. Look for and make use of structure.**// 8. Look for and express regularity in repeated reasoning. ||
 * __Established Goals:__
 * 5.G.1: Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., // x // -axis and // x // -coordinate, // y // -axis and // y // -coordinate).
 * 5.G.2: Represent real-world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation.

__Pre-requisite Standards:__
 * 4.G.1: Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two-dimensional figures.
 * 4.G.2: Classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or the presence or absence of angles of a specified size. Recognize right triangles as a category, and identify right triangles.
 * 4.G.3: Recognize a line of symmetry for a two-dimensional figure as a line across the figure such that the figure can be folded along the line into matching parts. Identify line-symmetric figures and draw lines of symmetry.

__I Can Statements:__
 * I can understand how to graph ordered pairs on a coordinate plane.
 * I can graph and interpret points in the first quadrant of a coordinate plane. ||
 * __Big Ideas:__
 * Geometric Figures: Two- and three-dimensional objects with or without curved surfaces can be described, classified, and analyzed by their attributes. An object's location in space can be described quantitatively.
 * Patterns, Relations, and Functions: Relationships can be described and generalizations made for mathematical situations that have numbers or objects that repeat or are arranged in predictable ways. For some relationships, mathematical expressions and equations can be used to describe how members of one set are related to members of a second set.
 * Practices, Processes, and Proficiencies: Mathematics content and practices can be applied to problem solving. || __Essential Questions:__
 * How are points graphed?
 * How can we show the relationship between sequences on a graph? ||
 * __Students will know...__
 * The coordinate system is a scheme that uses two perpendicular lines intersecting at 0 to name the location of points in the plane.
 * The ordered pairs of the end points of vertical and horizontal line segments can be used to find the length of the segments.
 * Some problems can be solved by breaking apart or changing the problem into simpler ones.
 * A graph of a rule contains all of the points on the coordinate grid whose x- and y-coordinates satisfy the rule.
 * Mathematical relationships represented by rules can also be represented by a graph of the rule. Ordered pairs that satisfy the rule can be used to graph the data.
 * Some problems with the initial data point unknown can be solved by starting with the end result and reversing the steps and processes to work backwards to find the initial data point.

__ Vocabulary: __ coordinate grid, x-axis, y-axis, origin, ordered pair, x-coordinate, y-coordinate || __Students will be skilled at...__ 16-1: The coordinate system is a scheme that uses two perpendicular lines intersecting at 0 to name the location of points in the plane. 16-2: The ordered pairs of the end points of vertical and horizontal line segments can be used to find the length of the segments. 16-3: Some problems can be solved by breaking apart or changing the problem into simpler ones. 16-4: A graph of a rule contains all of the points on the coordinate grid whose x- and y-coordinates satisfy the rule. 16-5: Mathematical relationships represented by rules can also be represented by a graph of the rule. Ordered pairs that satisfy the rule can be used to graph the data. 16-6: Some problems with the initial data point unknown can be solved by starting with the end result and reversing the steps and processes to work backwards to find the initial data point. ||
 * Identifying and graphing points on a coordinate grid.
 * Finding the distance between two points by using ordered pairs.
 * Finding the distance between two points not on a line by solving a simpler problem first.
 * Creating and interpreting coordinate graphs.
 * Using coordinate graphs to explore the relationship between to rules.
 * Working backwards to solve a problem. ||
 * ~ = Assessment Evidence = ||
 * __Performance Assessment:__ || __Other Evidence:__ ||
 * ~ = Learning Plan = ||
 * __Learning Activities:__
 * __Resources:__

__Paper:__ __[|Assorted Coordinate Grid Paper]__

__Centers:__ __[|Coordinate Grid Geoboards]__ __[|Coordinate Shapes]__ __[|Coordinate Grid Swap]__ __[|Coordinate Grid Tangram]__ __[|Geometric Shapes on the Coordinate Grid]__

__Literature Link:__ __[|A Fly on the Ceiling]__

__Smartboard Resources:__ __[|Billy Bug]__ __[|Catch the Fly]__ ||