Louisiana Administrative Code
Title 28 - EDUCATION
Part CLXXI - Bulletin 745-Louisiana Teaching Authorizations of School Personnel
Chapter 19 - Grade 8
Section CLXXI-1903 - Expressions and Equations

Universal Citation: LA Admin Code CLXXI-1903

Current through Register Vol. 50, No. 9, September 20, 2024

A. Know and apply the properties of integer exponents to generate equivalent numerical expressions.

Example: 32 x 3-5=3-3=1/33=1/27

B. Use square root and cube root symbols to represent solutions to equations of the form x2=p and x 3 =p, where p is a positive rational number Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that [RIGHT]2 is irrational.

C. Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities, and to express how many times as much one is than the other

Example: Estimate the population of the United States as 3 x 108 and the population of the world as 7 x 109, and determine that the world population is more than 20 times larger.

D. Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. Use scientific notation and choose units of appropriate size for measurements of very large or very small quantities (e.g., use millimeters per year for seafloor spreading). Interpret scientific notation that has been generated by technology.

E. Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways.

Example: Compare a distance-time graph to a distance-time equation to determine which of two moving objects has greater speed.

F. Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane; derive the equation y=mx for a line through the origin and the equation y=mx + b for a line intercepting the vertical axis at b.

G. Solve linear equations in one variable.

1. Give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions. Show which of these possibilities is the case by successively transforming the given equation into simpler forms, until an equivalent equation of the form x=a, a=a, or a=b results (where a and b are different numbers).

2. Solve systems of two linear equations in two variables algebraically, and estimate solutions by graphing the equations. Solve simple cases by inspection.

Example: 3x + 2y=5 and 3x + 2y=6 have no solution because 3x + 2y cannot simultaneously be 5 and 6.

H. Analyze and solve pairs of simultaneous linear equations.

1. Understand that solutions to a system of two linear equations in two variables correspond to points of intersection of their graphs, because points of intersection satisfy both equations simultaneously.

2. Solve systems of two linear equations in two variables algebraically, and estimate solutions by graphing the equations. Solve simple cases by inspection.

Example: 3x + 2y=5 and 3x + 2y=6 have no solution because 3x + 2y cannot simultaneously be 5 and 6.

3. Solve real-world and mathematical problems leading to two linear equations in two variables.

Example: Given coordinates for two pairs of points, determine whether the line through the first pair of points intersects the line through the second pair.

AUTHORITY NOTE: Promulgated in accordance with R.S. 17.6, R.S. 17:24.4, and R.S. 17:154.

Disclaimer: These regulations may not be the most recent version. Louisiana may have more current or accurate information. We make no warranties or guarantees about the accuracy, completeness, or adequacy of the information contained on this site or the information linked to on the state site. Please check official sources.
This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.