Use absolute value to find distances between points

Use absolute value to find distances between points

In this lesson you will learn to use absolute value to find distances between points with the same x and y value by using a coordinate plane.

ADDITIONAL MATERIALS


STANDARDS

CCSS.6.NS.C.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 find distances between points with the same first coordinate or the same second coordinate.

CCSS.7.NS.A.1.c Understand subtraction of rational numbers as adding the additive inverse, 𝘱 – 𝘲 = 𝘱 + (–𝘲). Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts.

TEKS.4.8.C solve problems that deal with measurements of length, intervals of time, liquid volumes, mass, and money using addition, subtraction, multiplication, or division as appropriate.

TEKS.7.3.A add, subtract, multiply, and divide rational numbers fluently; and

TEKS.7.3.B apply and extend previous understandings of operations to solve problems using addition, subtraction, multiplication, and division of rational numbers.

TEKS.6.3.D add, subtract, multiply, and divide integers fluently; and

TEKS.5.8.C graph in the first quadrant of the coordinate plane ordered pairs of numbers arising from mathematical and real-world problems, including those generated by number patterns or found in an input-output table.

IN.8.C.1 Solve real-world problems with rational numbers by using multiple operations.

IN.7.C.2 Understand subtraction of rational numbers as adding the additive inverse, p – q = p + (–q). Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts.

IN.6.AF.8 Solve real-world and other mathematical problems by graphing points with rational number coordinates on a coordinate plane. Include the use of coordinates and absolute value to find distances between points with the same first coordinate or the same second coordinate.

VA.CE.7.3 The student will solve single-step and multistep practical problems, using proportional reasoning.

VA.MG.6.8.b identify the coordinates of a point and graph ordered pairs in a coordinate plane.

VA.CE.6.6.a add, subtract, multiply, and divide integers;

VA.RLT.G.3.a investigating and using formulas for determining distance, midpoint, and slope;

VA.CE.6.6.b solve practical problems involving operations with integers; and

VA.NS.7.1.e identify and describe absolute value of rational numbers.

FL.MAFS.6.NS.3.8 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 find distances between points with the same first coordinate or the same second coordinate.