- Course type: Self-paced
- Available Lessons: 19
- Average Lesson Length: 8 min
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Watch a preview:chapter 1 / lesson 1How to Solve Complex Fractions
Course SummaryThis number system standards course is designed to ensure students can meet the Common Core math standards for grade 6. Use these text and video lessons in class and to create homework or discussion questions to keep your students interested and make sure they learn the number system topics they need to know.
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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 cover the specific practices and processes students in grade levels K-12 should be learning. The short video lessons and self-assessment quizzes in this course are designed to help you make sure your grade 6 students understand material required by these standards through lessons on word problems, decimals, fractions and rational numbers. Audio instruction is accompanied by visual illustrations to further help students grasp the concepts discussed in each lesson. The following topics are addressed in these lessons:
- Solving complex fractions
- Reviewing steps for completing division problems
- Adding, subtracting, multiplying, and dividing decimals
- Finding the greatest common factor
- Defining and solving problems for the least common multiple
- Discussing how to solve word problems
- Explaining what a number line is
- Ordering rational numbers
- Graphing rational numbers
- Plotting points on a coordinate plane
The easy and fun approach utilized by these lessons can appeal to middle school students who might be struggling with some aspects of the number system. Video lessons can be viewed both in the classroom or assigned as homework, while the quizzes might be taken and reviewed in class.
Standard: Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, e.g., by using visual fraction models and equations to represent the problem.
Students learn how to apply concepts to solve problems involving fractions.
Standard: Fluently divide multi-digit numbers using the standard algorithm.
The lesson will teach students how to divide, particularly numbers with more than one digit.
Standard: Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation.
With this lesson, students learn how to apply various operations to decimals.
Expressions with Operations (CCSS.Math.Content.6.NS.B.4)
Standard: Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12. Use the distributive property to express a sum of two whole numbers 1-100 with a common factor as a multiple of a sum of two whole numbers with no common factor.
Students can use this lesson to learn about aspects of the least common multiple.
Positive & Negative Numbers (CCSS.Math.Content.6.NS.C.5)
Standard: Understand that positive and negative numbers are used together to describe quantities having opposite directions or values (e.g., temperature above/below zero, elevation above/below sea level, credits/debits, positive/negative electric charge); use positive and negative numbers to represent quantities in real-world contexts, explaining the meaning of 0 in each situation.
Review aspects of positive and negative numbers through these lessons.
Number Line (CCSS.Math.Content.6.NS.C.6)
Standard: Understand a rational number as a point on the number line. Extend number line diagrams and coordinate axes familiar from previous grades to represent points on the line and in the plane with negative number coordinates.
Students can use this lesson to learn what a number line is and how it is used.
Opposite Signs of Numbers (CCSS.Math.Content.6.NS.C.6.A)
Standard: Recognize opposite signs of numbers as indicating locations on opposite sides of 0 on the number line; recognize that the opposite of the opposite of a number is the number itself, e.g., -(-3) = 3, and that 0 is its own opposite.
This lesson will show students how to identify opposite points on a number line.
Ordered Pairs (CCSS.Math.Content.6.NS.C.6.B)
Standard: Understand signs of numbers in ordered pairs as indicating locations in quadrants of the coordinate plane; recognize that when two ordered pairs differ only by signs, the locations of the points are related by reflections across one or both axes.
Get information about ordered pairs on the coordinate plane.
Integers and Rational Numbers on a Number Line (CCSS.Math.Content.6.NS.C.6.C)
Standard: Find and position integers and other rational numbers on a horizontal or vertical number line diagram; find and position pairs of integers and other rational numbers on a coordinate plane.
Students of this lesson study integers and rational numbers and how they are positioned on a number line.
Absolute Value (CCSS.Math.Content.6.NS.C.7)
Standard: Understand ordering and absolute value of rational numbers.
Use this lesson to define absolute value.
Statements of Inequality (CCSS.Math.Content.6.NS.C.7.A)
Standard: Interpret statements of inequality as statements about the relative position of two numbers on a number line diagram.
Help students learn about inequality reflected by the relative position of two numbers on a number line with this chapter.
Order of Rational Numbers (CCSS.Math.Content.6.NS.C.7.B)
Standard: Write, interpret, and explain statements of order for rational numbers in real-world contexts.
With this lesson, students can learn how to order rational numbers.
Absolute Value of a Rational Number (CSS.Math.Content.6.NS.C.7.C)
Standard: Understand the absolute value of a rational number as its distance from 0 on the number line; interpret absolute value as magnitude for a positive or negative quantity in a real-world situation.
Use this lesson to help your students learn more details about absolute value.
Absolute Value and Order (CCSS.Math.Content.6.NS.C.7.D)
Standard: Distinguish comparisons of absolute value from statements about order.
This lesson compare absolute value and statements about order.
Coordinate Plane (CCSS.Math.Content.6.NS.C.8)
Standard: Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane. Include use of coordinates and absolute value to find distances between points with the same first coordinate or the same second coordinate.
These lessons address plotting points and ordering pairs on a coordinate plane.
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