In this unit, students will build on their knowledge of numerical patterns to discover that when two rules are used to create two numerical patterns, a relationship exists between corresponding terms. Students are introduced to the coordinate plane and will use their knowledge of number lines to plot and locate specific points in the first quadrant of the coordinate plane. Students will likely struggle with generating and identifying patterns and relationships in a real world context, and connecting the numerical patterns in tables to correlating graphs.
Key Concepts:
 If we use two rules to create two patterns, we can identify relationships between corresponding terms and explain why those relationships exist. (Lesson 1)
 We can use perpendicular number lines called the xaxis and the yaxis, coinciding at 0, to create a coordinate plane, and locate points on the plane by identifying the xcoordinate and ycoordinate. (Lesson 4)
 We can represent problems and situations on the coordinate plane, and interpret coordinate values of points in the context of the situation. (Lesson 8)
Prior Knowledge Needed:
 Generating and analyzing patterns; (Grade 4, Unit 1; 4.OA.C.5)
 Representing fractions on a number line; (Grade 3, Unit 4; 3.NF.A.2)
 Representing whole numbers on a number line; (Grade 2, Unit 3; 2.MD.B.6)
Units on the Horizon:
 Representing Relationships (Grade 6, Unit 5)
 Relationships in the Coordinate Plane (Grade 6, Unit 7)
 Algebraic Expressions (Grade 6, Unit 8)
Lessons

Lesson objective: Understand that relationships exist between corresponding terms in patterns. Students bring prior knowledge of creating patterns according to a rule, and finding features of the pattern that are not explicit in the rule itself from 4.O...

Lesson objective: Generate patterns and identify relationships in corresponding terms This lesson helps to build procedural skill with generating patterns and identifying relationships in corresponding terms. An organized list is used here because it su...

Lesson objective: Apply knowledge of patterns in corresponding terms in a realworld problem. This lesson provides an opportunity for students to apply their knowledge and understanding of numerical patterns to a reallife situation. Students are asked ...

Lesson objective: Understand that we can locate and name points on a coordinate plane. Students bring prior knowledge of representing whole numbers and fractions on a number line from 2.MD.B.6 and 3.NF.A.2. This prior knowledge is extended to representi...

Lesson objective: Identify and plot ordered pairs on the coordinate plane. This lesson helps to build procedural skill with plotting and identifying points on a coordinate plane. A coordinate grid or plane is used here because it is the tool on which st...

Lesson objective: Find the distance between coordinates and from the coordinates to the x and y axis. This lesson helps to build procedural skill with determining the distance between coordinates on a coordinate plane and from the coordinates to the x a...

Lesson objective: Form ordered pairs from two patterns and graph the ordered pairs on a coordinate plane. This lesson helps to build procedural skill with forming ordered pairs from two number patterns and then graphing the ordered pairs on a coordinate...

Lesson objective: Understand that real world and mathematical problems can be represented by graphing points in the coordinate plane and that coordinate values of points can be interpreted in the context of the situation. Students bring prior knowledge ...

Lesson objective: Interpret coordinate values of points in the context of a situation. This lesson helps to build procedural skill with interpreting coordinate values of points in the context of a realworld situation. A coordinate plane is used here be...

Lesson objective: Represent and solve real world and mathematical problems by graphing points in the coordinate plane. This lesson provides an opportunity for students to apply their knowledge and understanding of representing and solving real world and...