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)
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. For 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.
This lesson contains a game activity designed to help students practice solving algebraic equations.
Chocolate Bar Sales
In this task students use different representations to analyze the relationship between two quantities and to solve a real world problem. The situation presented provides a good opportunity to make connections between the information provided by tables, graphs 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.
Families of Triangles
The purpose of this task is to introduce students to the idea of a relationship between two quantities by using a familiar geometic context. In order to benefit from this task, students should have already developed and become comfortable with a formula for the area of a triangle. The focus of this task should be on noticing the relationship between height and area and creating a graphical and algebraic representation of this relationship, not on understanding the meaning behind the geometric terms.
Finding Patterns to Make Predictions
This activity asks students to identify and contemplate mathematical patterns that we see around us. They are asked to represent them in a table and predict the pattern to the 7th, 9th, and nth terms. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
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.
Linear Function Machine
By putting different values into the linear function machine students will explore simple linear functions.
This online tutorial is designed to help the student to understand the vocabulary of inequalities and then use addition, subtraction, multiplication and division to solve linear inequalities.
http://www.uen.org - in partnership with Utah State Board of Education
(USBE) and Utah System of Higher Education
(USHE). Send questions or comments to USBE Specialist -
and see the Mathematics - Secondary website. For
general questions about Utah's Core Standards contact the Director
- Jennifer Throndsen .
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State of Utah. Copies of these materials may be freely reproduced
for teacher and classroom use. When distributing these materials,
credit should be given to Utah State Board of Education. These
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