Algebra: Patterns and Graphing
Unit description: Students will begin to learn about the coordinate system. Students will be able to graph an ordered pair in the first quadrant and consider what that ordered pair might represent. Students will extend their understanding of patterns to interpret two connected numerical patterns with two rules.
Essential Outcomes of the Unit
Geometry- Graph points on the coordinate plane to solve real-world and mathematical problems
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.
Other Standards Addressed in the Unit
Operations and Algebraic Thinking- Analyze patterns and relationships.
5.OA.3 Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane.
Geometry- Graph points on the coordinate plane to solve real-world and mathematical problems
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. Coherence: NY-5.G.1 → NY-6.NS.6 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.
Essential Questions and Big Ideas
What is a coordinate system?
- A coordinate system is created with a pair of perpendicular lines called axes with the intersection of the lines arranged to coincide with 0 on each line (the origin).
- A given point in the plane can be located by using an ordered pair of numbers called coordinates.
How can I use the coordinate plane to represent and solve problems?
- Points can be graphed on a coordinate plane to represent patterns and relationships.
- The relationship between points on a coordinate plane can be used to solve problems.
How can I interpret patterns?
- Patterns can be found by interpreting changes in values over time.
Download the complete Grade 5 Math Unit 6 framework to customize for your own planning.