La. Admin. Code tit. 28 § CLXXI-1505
Current through Register Vol. 50, No. 11, November 20, 2024
Section CLXXI-1505 - Expressions and EquationsA. Write and evaluate numerical expressions involving whole-number exponents.B. Write, read, and evaluate expressions in which letters stand for numbers. 1. Write expressions that record operations with numbers and with letters standing for numbers. Example: Express the calculation "Subtract y from 5" as 5 - y.
2. Identify parts of an expression using mathematical terms (sum, term, product, factor, quotient, coefficient); view one or more parts of an expression as a single entity. Example: Describe the expression 2 (8 + 7) as a product of two factors; view (8 + 7) as both a single entity and a sum of two terms.
3. Evaluate expressions at specific values of their variables. Include expressions that arise from formulas used in real-world problems. Perform arithmetic operations, including those involving whole-number exponents, in the conventional order when there are no parentheses to specify a particular order (order of operations). Example: Use the formulas V=s3 and A=6 s2 to find the volume and surface area of a cube with sides of length s=1/2.
C. Apply the properties of operations to generate equivalent expressions. Example: Apply the distributive property to the expression 3 (2 + x) to produce the equivalent expression 6 + 3x; apply the distributive property to the expression 24x + 18y to produce the equivalent expression 6 (4x + 3y); apply properties of operations to y + y + y to produce the equivalent expression 3y.
D. Identify when two expressions are equivalent (i.e., when the two expressions name the same number regardless of which value is substituted into them). Example: The expressions y + y + y and 3y are equivalent because they name the same number regardless of which number y stands for.
E. Understand solving an equation or inequality as a process of answering a question: which values from a specified set, if any, make the equation or inequality true? Use substitution to determine whether a given number in a specified set makes an equation or inequality true. F. Use variables to represent numbers and write expressions when solving a real-world or mathematical problem; understand that a variable can represent an unknown number, or, depending on the purpose at hand, any number in a specified set.G. Solve real-world and mathematical problems by writing and solving equations and inequalities of the form x + p=q and px=q for cases in which p, q, and x are all nonnegative rational numbers. Inequalities will include [LESS THAN], [GREATER THAN], [LESS THAN EQUAL TO], and [GREATER THAN EQUALS TO].H. Write an inequality of the form x [GREATER THAN] c or x [LESS THAN] c to represent a constraint or condition in a real-world or mathematical problem. Recognize that inequalities of the form x [GREATER THAN]cor x [LESS THAN] c have infinitely many solutions; represent solutions of such inequalities on number line diagrams. I. Use variables to represent two quantities in a real-world problem that change in relationship to one another; 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. Example: In a problem involving motion at constant speed, list and graph ordered pairs of distances and times, and write the equation d=65t to represent the relationship between distance and time.
La. Admin. Code tit. 28, § CLXXI-1505
Promulgated by the Board of Elementary and Secondary Education, LR 421052 (7/1/2016).AUTHORITY NOTE: Promulgated in accordance with R.S. 17.6, R.S. 17:24.4, and RS. 17:154.