Mathematics Grade 6
Strand: EXPRESSIONS AND EQUATIONS (6.EE)
Apply and extend previous understandings of arithmetic to algebraic expressions involving exponents and variables (Standards 6.EE.1–4)
. They reason about and solve one-variable equations and inequalities (Standards 6.EE.5–8)
. Represent and analyze quantitative relationships between dependent and independent variables in a real-world context (Standard 6.EE.9)
Solve real-world and mathematical problems by writing and solving equations of the form x + a = b and ax = b for cases in which a, b and x are all non-negative rational numbers.
Anna in D.C.
The purpose of this task is to give students an opportunity to solve a multi-step percentage problem that can be approached in many ways.
Balancing Scales To Solve Equations
The focus of this lesson and interactive is balancing algebraic equations. Students engage with the Annenberg interactive to solve 3 balance problems. The classroom activity then asks students to change balance problems into algebraic equations where variables represent unknown amounts. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
Chapter 6 - Mathematical Foundations (UMSMP)
This is Chapter 6 of the Utah Middle School Math: Grade 6 textbook. It provides a Mathematical Foundation for Expressions and Equations.
Chapter 6 - Student Workbook (UMSMP)
This is Chapter 6 of the Utah Middle School Math: Grade 6 student workbook. It covers the following topics: Expressions and Equations.
Expressions and Equations (6.EE) - 6th Grade Core Guide
The Utah State Board of Education (USBE) and educators around the state of Utah developed these guides for Mathematics Grade 6 - Expressions and Equations.
In this task students are asked to write an equation to solve a real-world problem. There are two natural approaches to this task. In the first approach, students have to notice that even though there is one variable, namely the number of firefighters, it is used in two different places. In the other approach, students can find the total cost per firefighter and then write the equation
The purpose of this task is for students to solve a contextual problem where there is a multiplicative relationship between several quantities in the context. These relationships can either be represented in a ratio table or with a linear equation.
Grade 6 Unit 4: One Step Equations and Inequalities (Georgia Standards)
In this unit students will: Determine if an equation or inequality is appropriate for a given situation. Solve mathematical and real-world problems with equations. Represent real-world situations as inequalities. Interpret the solutions to equations and inequalities. Represent the solutions to inequalities on a number line. Analyze the relationship between dependent and independent variables through the use of tables, equations and graphs.
This task presents a straight forward question that can be solved using an equation in one variable. The numbers are complicated enough so that it is natural to set up an equation rather than solve the problem in one's head.
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