Middle School Programs Building Healthy Core Learning Math 6 Plus, Unit 10
Math 6 Plus UNIT 10 OVERVIEW: Coordinate Plane Unit Outcomes At the end of this unit, your student should be able to: Identify which quadrant a point is located in by reading the sings of any given ordered pair, also locating a point that is reflected across one or both axes Identify the distance between two points on the coordinate plane by using the absolute value of a number Solve real world problems by graphing points in all four quadrants of the coordinate plane Create an equation based on the dependent and independent variable Find missing values in a data table and plot the points on a coordinate plane
Key Standards Addressed Connections to Common Core/NC Essential Standards 6.NS.6b Understand signs of numbers in ordered pairs as indicating locations in quadrants of the coordinate plan; recognize that when two ordered pairs differ only in signs, the locations of the points are related by reflects across one or both axes.
Key Vocabulary
Terms to deepen the student’s understanding Absolute Value Constant of Proportionality Coordinate Plane Coordinates Dependent Variable Independent Variable Integers Opposites Ordered Pair Origin Proportional Relationship Quadrants Unit Rate x-axis x-coordinate y-axis y-coordinate
Where This Unit Fits Connections to prior and future learning Coming into this unit, students should have a strong foundation in: Graphing ordered pairs in Quadrant 1 Working knowledge of ratios Working knowledge of how to solve a one-step equation
6.NS.6c Find and position integers and other rational numbers on a horizontal or vertical number line diagram; find and position pairs of integers and other rational numbers on a coordinate plane. 6.NS.8 Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane. Include use of coordinates and absolute value to This unit builds to the following future skills and find distances between points with the same first concepts: coordinate or the same second coordinate. Function tables Graphing linear and non-linear functions 6.EE.9 Use variables to represent two quantities in a real- Finding the area and perimeter of a figure on the world problem that change in relationship to one another; coordinate plane write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable. Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation. For example, in a problem involving motion at constant speed, list and graph ordered pairs of distances
Middle School Programs Building Healthy Core Learning Math 6 Plus, Unit 10
Math 6 Plus UNIT 10 OVERVIEW: Coordinate Plane and times, and write the equation d=65t to represent the relationship between distance and time. 6.RP.3a Make tables of equivalent ratios relating quantities with whole-number measurements, find missing values in the tables, and plot the pairs of values on the coordinate plane. Use tables to compare ratios. 7.RP.2 a. Decide whether two quantities are in a proportional relationship by testing for equivalent ratios in a table or by graphing on a coordinate plane and observing whether the graph is a straight line through the origin b. Identify the constant of proportionality in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships. c. Represent proportional relationships by equations. d. Explain what a point (x,y) on the graph of a proportional relationship means in terms of the situation.
Additional Resources
“Learning Checks”
Materials to support understanding and enrichment Teaching videos made by Wake County teachers WCPSS YouTube Channel – Math Playlist Coordinate Plane and Distance Video Reflections on a Coordinate Plane Video Absolute Value on a Coordinate Plane Reflecting Points Video and Practice – Khan Academy Catch the Fly Game Coordinate Plane Jeopardy Coordinate Plane Word Problems – Khan Academy Ordered Pair Practice Creating Equations Word Problems How to Identify the Constant of Proportionality Videos – LearnZillion Finding the Constant Practice - IXL
Questions Parents Can Use to Assess Understanding What happens when two points have identical x-values but opposite y-values? What do you notice when two points have identical y-values and opposite x-values? How is this related to reflection? How can you use absolute value of a number to find the distance between two points? How can you use a table to find an equivalent ratio?
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