# ALEX Lesson Plan

## Equations and Solutions

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This lesson provided by:
 Author: Morgan Boyd Organization: Retirement
General Lesson Information
 Lesson Plan ID: 35677 Title: Equations and Solutions Overview/Annotation: This lesson will use the substitution property to determine solutions to equations and inequalities. The students will be given a replacement set of values. The student will check the values to determine if the result is true or false. The values that are true will be the solution. The student will graph the inequality solutions on the number line.This lesson results from the ALEX Resource Gap Project.
Associated Standards and Objectives
Content Standard(s):
 Mathematics MA2019 (2019) Grade: 6 18. Determine whether a value is a solution to an equation or inequality by using substitution to conclude whether a given value makes the equation or inequality true. Unpacked Content Evidence Of Student Attainment:Students: Given situations that have been modeled with equations or inequalities: Substitute given specified values for the variables and the evaluate expressions. Determine if the resulting numerical sentence is true when the specified values are substituted for the variables. Explain with mathematical reasoning why a specified value is or is not a solution to a given equation or inequality.Teacher Vocabulary:Substitution Equation InequalityKnowledge:Students know: Conventions of order of operations. The solution is the value of the variable that will make the equation or inequality true. That using various processes to identify the value(s) that when substituted for the variable will make the equation true.Skills:Students are able to: Substitute specific values into algebraic equation or inequality and accurately perform operations of addition, subtraction, multiplication, division and exponentiation using order of operation.Understanding:Students understand that: Solving an equation or inequality means finding the value or values (if any) that make the mathematical sentence true. The solution to an inequality is often a range of values rather than a specific value.Diverse Learning Needs: Essential Skills:Learning Objectives: M.6.18.1: Define exponent, numerical expression, algebraic expression, variable, base, power, square of a number, and cube of a number. M.6.18.2: Compute a numerical expression with exponents, with or without a calculator. M.6.18.3: Restate exponential numbers as repeated multiplication. M.6.18.4: Choose the correct value to replace each variable in the expression (Substitution). M.6.18.5: Calculate the multiplication of single or multi-digit whole numbers, with or without a calculator. Prior Knowledge Skills:Use comparison symbols. Examples: >, =, or < . Record the results of comparisons with the symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model. Compare two three-digit numbers based on meanings of the hundreds, tens, and ones digits using >, =, and < symbols to record the results of comparisons. Comparison symbols. Examples: >, =, and < . Compare two three-digit numbers based on meanings of the hundreds, tens, and ones digits using >, =, and < symbols to record the results of comparisons. Compare two fractions with the same numerator or the same denominator by reasoning about their size. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model. Convert fractions to decimals. Compare two decimals to tenths. Compare whole numbers. Identify comparison symbols. Examples: >, <, and = . Alabama Alternate Achievement Standards AAS Standard: M.AAS.6.19 Match equations and inequalities to real-world situations.

Local/National Standards:

Primary Learning Objective(s):

Using the replacement set, the student will be able to determine the solution to a given equation.

The student will be able to graph the solution to an inequality.