- Course type: Self-paced
- Available Lessons: 18
- Average Lesson Length: 8 min
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Watch a preview:chapter 1 / lesson 1How to Use Exponential Notation
Course SummaryEnsure your curriculum meets Common Core math standards for grade 6 with the help of this expressions and equations course. Our short, entertaining lessons can be used to supplement your classroom instruction or to create engaging homework assignments.
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2 chapters in Common Core Math Grade 6 - Expressions & Equations: Standards
Course Practice TestCheck your knowledge of this course with a 50-question practice test.
- Comprehensive test covering all topics
- Detailed video explanations for wrong answers
About the Course
The Common Core State Standards for math define the basic concepts and practices that students should know upon completing each grade level. Using short and engaging video lessons and self-assessment quizzes, this course helps students meet the algebraic expressions and equations related standards for 6th grade by making it easy and fun for them to learn about variables, equivalent expressions, and writing algebraic expressions. Each lesson includes illustrations to enhance the learning experience. The following concepts will be covered in these lessons:
- Solving exponential expressions
- Translating arithmetic statements into algebraic expressions
- Evaluating and showing relationships in algebraic expressions
- Writing equivalent expressions
- Using the distributive property
- Solving various types of one-variable equations
- Explaining inverse operations
- Working with linear inequalities
- Graphing functions
Algebraic concepts can be difficult for some middle school students to understand; but you can use the video lessons in this chapter to make learning fun and easy. You could incorporate the videos directly into your classroom presentations, or lessons and quizzes can be assigned directly to students as homework to reinforce their understanding.
Whole Number Exponents (CCSS.Math.Content.6.EE.A.1)
Standard: Write and evaluate numerical expressions involving whole-number exponents.
Students learn how to solve equations containing exponents.
Translating Statements into Algebraic Expressions (CCSS.Math.Content.6.EE.A.2)
Standard: Write, read, and evaluate expressions in which letters stand for numbers.
This lesson demonstrates how students can translate addition, subtraction, multiplication and division statements into algebraic expressions.
Expressions with Operations (CCSS.Math.Content.6.EE.A.2.A)
Standard: Write expressions that record operations with numbers and with letters standing for numbers.
With this lesson, your students can learn how to add, subtract, multiply and divide algebraic expressions.
Expressions and Mathematical Terms (CCSS.Math.Content.6.EE.A.2.B)
Standard: 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.
Find out how to apply mathematical terms to algebraic expressions in these lessons.
Defining Variables (CCSS.Math.Content.6.EE.A.2.C)
Standard: 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).
Students can use this lesson to define a variable and how to evaluate various algebraic expressions considering values of their variables.
Writing Equivalent Expressions (CCSS.Math.Content.6.EE.A.3)
Standard: Apply the properties of operations to generate equivalent expressions.
This lesson will show your students how to apply concepts in order to create equivalent expressions.
Identifying Equivalent Expressions (CCSS.Math.Content.6.EE.A.4)
Standard: Identify when two expressions are equivalent (i.e., when the two expressions name the same number regardless of which value is substituted into them).
Students can use this lesson to help them develop the ability to recognize equivalent expressions.
Standard: 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.
With this lesson, your students can learn how to determine inequality in an equation.
Using Variables (CCSS.Math.Content.6.EE.B.6)
Standard: 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.
Use this lesson to help your students understand how to write expressions with variables.
Non-negative Rational Numbers (CCSS.Math.Content.6.EE.B.7)
Standard: Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all nonnegative rational numbers.
Learn methods for solving problems in which all letters stand for nonnegative rational numbers.
Inequalities with Infinite Solutions (CCSS.Math.Content.6.EE.B.8)
Standard: Write an inequality of the form x > c or x < c to represent a constraint or condition in a real-world or mathematical problem. Recognize that inequalities of the form x > c or x < c have infinitely many solutions; represent solutions of such inequalities on number line diagrams.
Find out how represent inequalities of a math problem with many solutions on a number line diagram.
Solving Various Equations with One Variable (CSS.Math.Content.6.EE.C.9)
Standard: 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.
With this lesson, your students will have the opportunity to understand what a variable is and how to apply principles to solve addition, subtraction, multiplication and division equations with one variable.
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