Grade 6 Mathematics

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0 Course Introduction 02:10

This is a video overview of the contents of this 6th Mathematics course.

1 Chapter 1 Lesson 1: Rates and Ratios; Definitions and Examples 13:19

In this lesson, students will define rate and ratio, and solve problems that use rate and proportional thinking.

2 Chapter 1 Lesson 1: Practice 12:25

This lesson reviews the practice from Chapter 1 Lesson 1 and includes the mini-quiz for this lesson.

3 Chapter 1 Lesson 2: Unit Rates and Equivalent Ratios 11:29

In this lesson students will define unit rate and find the unit rate for a given rate. The student will also find simplified equivalent ratios.

4 Chapter 1 Lesson 2: Practice 12:49

This lesson reviews the practice from Chapter 1 Lesson 2 and includes the mini-quiz for this lesson.

5 Chapter 1 Lesson 3: Solve One Step Rate Problems Using Tables 11:13

In this lesson students will solve one step rate problems using rate tables.

6 Chapter 1 Lesson 3: Practice 09:37

This lesson reviews the practice from Chapter 1 Lesson 3 and includes the mini-quiz for this lesson.

7 Chapter 1 Lesson 4: Missing Values 15:55

In this lesson students will use a rate table to find missing values.

8 Chapter 1 Lesson 4: Practice 18:23

This lesson reviews the practice from Chapter 1 Lesson 4 and includes the mini-quiz for this lesson.

9 Chapter 1 Lesson 5: Proportions 08:34

In this lesson students will solve one step rate and ratio problems using proportions.

10 Chapter 1 Lesson 5: Practice 08:38

This lesson reviews the practice from Chapter 1 Lesson 5 and includes the mini-quiz for this lesson.

11 Chapter 1 Lesson 6: Special Rates (Time and Money) 14:50

In this lesson students will solve rate and ratio problems involving time and money using a variety of approaches.

12 Chapter 1 Lesson 6: Practice 10:28

This lesson reviews the practice from Chapter 1 Lesson 6 and includes the mini-quiz for this lesson.

13 Chapter 1 Lesson 7: Percents 11:58

In this lesson students will find percent as a quantity as a rate per 100, and use percents to solve rate problems.

14 Chapter 1 Lesson 7: Practice 15:40

This lesson reviews the practice from Chapter 1 Lesson 7 and includes the mini-quiz for this lesson.

15 Chapter 1 Lesson 8: Special Rates (Measurements) 09:49

In this lesson students will use rates to convert measurement units and to solve problems involving measurement.

16 Chapter 1 Lesson 8: Practice 16:06

This lesson reviews the practice from Chapter 1 Lesson 8 and includes the mini-quiz for this lesson.

17 Chapter 1 Assessment 00:00

This lesson is an assessment of the material in Chapter 1.

18 Chapter 2 Lesson 1: Greatest Common Factor 13:53

In this lesson, students will define factor, find the factors of a number, and then find the common factors and GCF of two or more numbers.

19 Chapter 2 Lesson 1: Practice 16:43

This lesson reviews the practice from Chapter 2 Lesson 1 and includes the mini-quiz for this lesson.

20 Chapter 2 Lesson 2: Least Common Multiple 10:33

In this lesson, students will define multiple, find multiples of a number, and then find the common multiples and LCM of two or more numbers.

21 Chapter 2 Lesson 2: Practice 12:16

This lesson reviews the practice from Chapter 2 Lesson 2 and includes the mini-quiz for this lesson.

22 Chapter 2 Lesson 3: Factors and Multiples 14:28

In this lesson, students will use what they know about multiples and factors to express the sum of two numbers as a multiple of a sum of two numbers with no common factor. Students will also use what they know about multiples to create common denominators between fractions.

23 Chapter 2 Lesson 3: Practice 14:37

This lesson reviews the practice from Chapter 2 Lesson 3 and includes the mini-quiz for this lesson.

24 Chapter 2 Lesson 4: Fraction Division, Steps 13:15

In this lesson, students will learn the process used to divide fractions by fractions.

25 Chapter 2: Lesson 4: Practice 06:26

This lesson reviews the practice from Chapter 2 Lesson 4 and includes the mini-quiz for this lesson.

26 Chapter 2 Lesson 5: More Fraction Division 10:29

In this lesson, students divided fractions by fractions.

27 Chapter 2 Lesson 5: Practice 07:22

This lesson reviews the practice from Chapter 2 Lesson 5 and includes the mini-quiz for this lesson.

28 Chapter 2 Lesson 6: Fraction Division Applications 09:18

In this lesson, students will solve problems that require fraction division.

29 Chapter 2 Lesson 6: Practice 08:10

This lesson reviews the practice from Chapter 2 Lesson 6 and includes the mini-quiz for this lesson.

30 Chapter 2 Lesson 7: Operations with Decimals Part I 11:57

In this lesson, students will add and subtract multi-digit decimals to solve problems.

31 Chapter 2 Lesson 7: Practice 09:57

This lesson reviews the practice from Chapter 2 Lesson 7 and includes the mini-quiz for this lesson.

32 Chapter 2 Lesson 8: Operations with Decimals Part 2 14:31

In this lesson, students will multiply and divide multi-digit decimals to solve problems.

33 Chapter 2 Lesson 8: Practice 17:17

This lesson reviews the practice from Chapter 2 Lesson 8 and includes the mini-quiz for this lesson.

34 Chapter 2 Assessment 00:00

This lesson is an assessment of the material in Chapter 2.

35 Chapter 3 Lesson 1: The Number Line and Rational Numbers 12:54

In this lesson, students will review the number line, and be introduced to rational numbers.

36 Chapter 3: Lesson 1: Practice 10:34

This lesson reviews the practice from Chapter 3 Lesson 1 and includes the mini-quiz for this lesson.

37 Chapter 3 Lesson 2: Comparing and Ordering Rational Numbers 13:01

In this lesson, students will use the number line to compare and order rational numbers.

38 Chapter 3 Lesson 2: Practice 13:13

This lesson reviews the practice from Chapter 3 Lesson 2 and includes the mini-quiz for this lesson.

39 Chapter 3 Lesson 3: Absolute Value 14:23

In this lesson, students will define absolute value, and use absolute value to solve problems.

40 Chapter 3 Lesson 3: Practice 08:26

This lesson reviews the practice from Chapter 3 Lesson 3 and includes the mini-quiz for this lesson.

41 Chapter 3 Lesson 4: Order of Operations 11:24

In this lesson, students will review the order of operations, and compute problems involving rational numbers.

42 Chapter 3 Lesson 4: Practice 10:08

This lesson reviews the practice from Chapter 3 Lesson 4 and includes the mini-quiz for this lesson.

43 Chapter 3 Lesson 5: The Coordinate Plane 11:11

In this lesson, students will review the coordinate plane and practice plotting points in all four quadrants.

44 Chapter 3 Lesson 5: Practice 11:01

This lesson reviews the practice from Chapter 3 Lesson 5 and includes the mini-quiz for this lesson.

45 Chapter 3 Lesson 6: Distances on the Coordinate Plane 11:24

In this lesson, students will plot points in all four quadrants of the coordinate plane, and then find the distance between two points on the same vertical or horizontal line.

46 Chapter 3 Lesson 6: Practice 13:23

This lesson reviews the practice from Chapter 3 Lesson 6 and includes the mini-quiz for this lesson.

47 Chapter 3 Lesson 7: Solving Problems on the Coordinate Plane 12:46

In this lesson students will use what they know about plotting points and finding distances on the coordinate plane to solve problems.

48 Chapter 3 Lesson 7: Practice 09:39

This lesson reviews the practice from Chapter 3 Lesson 7 and includes the mini-quiz for this lesson.

49 Chapter 3 Assessment 00:00

This lesson is an assessment of the material in Chapter 3

50 Chapter 4 Lesson 1: Exponential Expressions 15:36

In this lesson, students will define exponent, develop an understanding of the meaning of an exponent, and simplify exponential expressions with the same base.

51 Chapter 4: Lesson 1: Practice 09:38

This lesson reviews the practice from Chapter 4 Lesson 1 and includes the mini-quiz for this lesson.

52 Chapter 4 Lesson 2: Writing Algebraic Expressions 14:54

In this lesson, students will define variable, translate simple algebraic expressions into word and substitute in a value for a given variable.

53 Chapter 4 Lesson 2: Practice 08:18

This lesson reviews the practice from Chapter 4 Lesson 2 and includes the mini-quiz for this lesson.

54 Chapter 4 Lesson 3: Addition and Subtraction Expressions 15:04

In this lesson, students will write and evaluate addition and subtraction expressions.

55 Chapter 4 Lesson 3: Practice 07:28

This lesson reviews the practice from Chapter 4 Lesson 3 and includes the mini-quiz for this lesson.

56 Chapter 4 Lesson 4: Multiplication and Division Expressions 17:56

In this lesson, students will write and evaluate multiplication and division expressions.

57 Chapter 4 Lesson 4: Practice 09:02

This lesson reviews the practice from Chapter 4 Lesson 4 and includes the mini-quiz for this lesson.

58 Chapter 4 Lesson 5: Simplifying Expressions by Combining Like Terms 13:19

In this lesson, students will combine like terms to create equivalent expressions.

59 Chapter 4 Lesson 5: Practice 10:45

This lesson reviews the practice from Chapter 4 Lesson 5 and includes the mini-quiz for this lesson.

60 Chapter 4 Lesson 6: Simplifying Expressions with the Distributive Property 08:57

In this lesson, students will use the distributive property to write equivalent expressions.

61 Chapter 4 Lesson 6: Practice 08:46

This lesson reviews the practice from Chapter 4 Lesson 6 and includes the mini-quiz for this lesson.

62 Chapter 4 Lesson 7: Simplifying Expressions with Multiple Steps 11:54

In this lesson, students will use their knowledge of exponents, the distributive property, and of how to combine like terms to simplify complex expressions.

63 Chapter 4 Lesson 7: Practice 15:36

This lesson reviews the practice from Chapter 4 Lesson 7 and includes the mini-quiz for this lesson.

64 Chapter 4 Assessment 00:00

This lesson is an assessment of the material in Chapter 4

65 Chapter 5 Lesson 1: Equations and Equality 12:55

In this lesson students will compare expressions and equations, and use what they know about equality to help them solve simple equations.

66 Chapter 5 Lesson 1: Practice 08:12

This lesson reviews the practice from Chapter 5 Lesson 1 and includes the mini-quiz for this lesson.

67 Chapter 5 Lesson 2: Solving Equations with Inverse Operations, Part I 11:40

In this lesson students will use pictures and inverse operations to solve addition and subtraction equations.

68 Chapter 5 Lesson 2: Practice 10:27

This lesson reviews the practice from Chapter 5 Lesson 2 and includes the mini-quiz for this lesson.

69 Chapter 5 Lesson 3: Solving Equations with Inverse Operations, Part II 12:06

In this lesson students will use inverse operations to solve multiplication and division equations.

70 Chapter 5 Lesson 3: Practice 10:14

This lesson reviews the practice from Chapter 5 Lesson 3 and includes the mini-quiz for this lesson.

71 Chapter 5 Lesson 4: Writing and Solving One-Step Equations 11:31

In this lesson students will write and solve one-step equations.

72 Chapter 5 Lesson 4: Practice 10:36

This lesson reviews the practice from Chapter 5 Lesson 4 and includes the mini-quiz for this lesson.

73 Chapter 5 Lesson 5: Using Formulas 08:57

In this lesson students will use formulas to solve problems.

74 Chapter 5 Lesson 5: Practice 08:50

This lesson reviews the practice from Chapter 5 Lesson 5 and includes the mini-quiz for this lesson.

75 Chapter 5 Lesson 6: Solve One-Step Inequalities 10:31

In this lesson students will use what they know about solving equations to solve one-step inequalities.

76 Chapter 5 Lesson 6: Practice 10:02

This lesson reviews the practice from Chapter 6 Lesson 6 and includes the mini-quiz for this lesson.

77 Chapter 5 Assessment 00:00

This lesson is an assessment of the material in Chapter 5.

78 Chapter 6 Lesson 1: Area: Unit Squares and Decomposing 14:31

In this lesson students will develop the definition of area, and understand area as a collection of unit squares, or parts of unit squares that can be composed and decomposed.

79 Chapter 6 Lesson 1: Practice 09:03

This lesson reviews the practice from Chapter 6 Lesson 1 and includes the mini-quiz for this lesson.

80 Chapter 6 Lesson 2: Areas of Rectangles and Triangles 12:38

In this lesson students will use what they know about finding the area of a rectangle to develop the process and formula for finding the area of a triangle.

81 Chapter 6 Lesson 2: Practice 11:52

This lesson reviews the practice from Chapter 6 Lesson 2 and includes the mini-quiz for this lesson.

82 Chapter 6 Lesson 3: Area of Parallelograms 10:28

In this lesson students will use what they know about finding the area of a rectangle to develop the process and formula for finding the area of a parallelogram.

83 Chapter 6 Lesson 3: Practice 08:01

This lesson reviews the practice from Chapter 6 Lesson 3 and includes the mini-quiz for this lesson.

84 Chapter 6 Lesson 4: Area of Trapezoids 11:06

In this lesson students will use what they know about finding the area of a rectangle to develop the process and formula for finding the area of a trapezoid.

85 Chapter 6 Lesson 4: Practice 11:42

This lesson reviews the practice from Chapter 6 Lesson 4 and includes the mini-quiz for this lesson.

86 Chapter 6 Lesson 5: Volume of Rectangular Prisms I 10:42

In this lesson students will use what they know about finding the area of a rectangle to develop the process and formula for finding the volume of a rectangular prism with whole number edge lengths.

87 Chapter 6 Lesson 5: Practice 06:37

This lesson reviews the practice from Chapter 6 Lesson 5 and includes the mini-quiz for this lesson.

88 Chapter 6 Lesson 6: Volume of Rectangular Prisms Part II 07:48

In this lesson students will use what they know about volume to find the volume of a rectangular prism with fractional edge lengths.

89 Chapter 6 Lesson 6: Practice 08:19

This lesson reviews the practice from Chapter 6 Lesson 6 and includes the mini-quiz for this lesson.

90 Chapter 6 Assessment 00:00

This lesson is an assessment of the material in Chapter 6.

91 Chapter 7 Lesson 1: Looking at Data Part 1 13:16

In this lesson students will understand what makes a valid data set, and describe data sets using measures of central tendency.

92 Chapter 7 Lesson 1: Practice 10:04

This lesson reviews the practice from Chapter 7 Lesson 1 and includes the mini-quiz for this lesson.

93 Chapter 7 Lesson 2: Looking at Data Part 2 13:49

In this lesson students will describe data sets using mean and median.

94 Chapter 7 Lesson 2: Practice 12:50

This lesson reviews the practice from Chapter 7 Lesson 2 and includes the mini-quiz for this lesson.

95 Chapter 7 Lesson 3: Histograms 19:35

In this lesson students describe and display data using a histogram.

96 Chapter 7 Lesson 3: Practice 15:00

This lesson reviews the practice from Chapter 7 Lesson 3 and includes the mini-quiz for this lesson.

97 Chapter 7 Lesson 4: Dot Plots 14:43

In this lesson students describe and display data using a dot plot.

98 Chapter 7 Lesson 4: Practice 12:28

This lesson reviews the practice from Chapter 7 Lesson 4 and includes the mini-quiz for this lesson.

99 Chapter 7 Lesson 5: Box Plots 17:36

In this lesson students describe and display data using a box plot.

100 Chapter 7 Lesson 5: Practice 11:46

This lesson reviews the practice from Chapter 7 Lesson 5 and includes the mini-quiz for this lesson.

101 Chapter 7 Lesson 6: Mystery Graphs 15:22

In this lesson students will use what they know about center, spread and frequency to describe mystery graphs (graphs without data sets).

102 Chapter 7 Lesson 6: Practice 06:58

This lesson reviews the practice from Chapter 7 Lesson 6 and includes the mini-quiz for this lesson.

103 Chapter 7 Assessment 00:00

This lesson is an assessment of the material in Chapter 7.

Course Overview

Welcome to 6th Grade Math! This course teaches all of the essential concepts and skills students need to master 6th grade mathematics. This math course covers the entire 6th grade!

This course includes:

  • 96 individual videos (two for each lesson - one for instruction, and one to review the practice in detail)
  • 48 engaging lessons, each with its own practice worksheet
  • 48 worksheet review videos (I review each problem step by step)
  • Over 350 practice excercises/problems
  • Over 1,130 minutes of instruction
  • 48 quizzes (1 at the end of each lesson)
  • 48 answer keys for quizzes
  • 7 chapter assessments (one at the end of each chapter)
  • 7 answer keys for chapter assessments

 

Target Audience and Course Requirements

This video-course is intended for students who have completed 5th grade mathematics.

Course Topics and Lesson Goals

Chapter 1: Rates and Ratios

Define rate and ratio, and solve problems that use rate and proportional thinking.

Define unit rate; find the unit rate for given rate and equivalent simplified ratios. 

Solve one step rate problems using a rate table. 

Use a rate table to find missing values. 

Solve one step rate and ratio problems using a proportion. 

Solve rate and ratio problems involving time and prices using a variety of approaches. 

Find percent as a quantity as a rate per 100, and use percents to solve rate problems.  

Use rates to convert measurement units.  

Chapter 2: Operations and Factoring

Define factor, find the factors of a number, and then find the common factors and GCF of two or more numbers. 

Define multiple, find multiples of a number, and then find the common multiples and LCM of two or more numbers. 

Express the sum of two numbers as the multiple of a sum of two numbers with no common factor and create common denominators between fractions.

Divide fractions by fractions. 

Solve problems that require fraction division.

Add and subtract decimals to solve problems.

Multiply and divide decimals to solve problems.

Chapter 3: Rational Numbers

Review the number line, and understand rational numbers.

Use the number line to compare and order rational numbers. 

Define absolute value, and use absolute value to solve problems.

Review order of operations, and compute problems involving rational numbers. 

Review the coordinate plane, and plot points in 4 quadrants. 

Plot points in all four quadrants of the coordinate plane, and find the distance between two points on the same vertical or horizontal line. 

Solve problems on the coordinate plane.

Chapter 4: Algebraic Expressions

Understand of the meaning of an exponent, and simplify exponential expressions with the same base. 

Define variable, translate simple algebraic expressions into words and substitute in a value for a given variable.

Write and evaluate addition and subtraction expressions.

Write and evaluate multiplication and division expressions.

Combine like terms to write equivalent expressions.

Use the distributive property to write equivalent expressions.

Simplify complex expressions

Chapter 5: Algebraic Equations

Compare expressions and equations, and use equality to help solve simple equations. 

Use inverse operations to solve addition and subtraction equations. 

Use inverse operations to solve multiplication and division equations. 

Write and solve one-step equations. 

Use formulas to solve problems. 

Solve one-step inequalities. 

Chapter 6: Geometry

Develop the definition of area, and understand area as a collection of unit squares, or parts of unit squares that can be composed and decomposed.

Develop the process and formula for finding the area of a triangle.

Develop the process and formula for finding the area of a parallelogram.

Develop the process and formula for finding the area of a trapezoid.

Develop the process and formula for finding the volume of a rectangular prism with whole number edge lengths.

Find the volume of a rectangular prism with fractional edge lengths.

Chapter 7: Statistics

Understand what makes a valid data set, and describe data sets using measures of central tendency. 

Describe data sets using mean and median. 

Describe and display data using a histogram.

Describe and display data using a dot plot. 

Describe and display data using a box plot. 

Describe mystery graphs (graphs without data sets) using center, spread and frequency. 

  • Teacher: Sara
  • Areas of expertise: Mathematics 7-12
  • Education: B.A.: Saint Peter's University; M.A.: Seton Hall University; Additional Graduate Credits: Marygrove University
  • Interests: Hiking, reading, gardening, playing with my kids and dogs!
  • Skills: Growing things (plants and people!), breaking complex ideas into manageable parts, baking and making crazy, awesome LEGO creations!
  • Associations: National Council of Teachers of Mathematics
  • Issues I care about: Equity in education; keeping middle and high school students engaged with mathematics and STEM learning.

Chapter 1 Quiz Questions and Answers

This document contains all of the quiz questions and correct answers (in green) for Chapter 1.

Chapter 2 Quiz Questions and Answers

This document contains all of the quiz questions and correct answers (in green) for Chapter 2.

Chapter 3 Quiz Questions and Answers

This document contains all of the quiz questions and correct answers (in green) for Chapter 3.

Chapter 4 Quiz Questions and Answers

This document contains all of the quiz questions and correct answers (in green) for Chapter 4.

Chapter 5 Quiz Questions and Answers

This document contains all of the quiz questions and correct answers (in green) for Chapter 5.

Chapter 6 Quiz Questions and Answers

This document contains all of the quiz questions and correct answers (in green) for Chapter 6.

Chapter 7 Quiz Questions and Answers

This document contains all of the quiz questions and correct answers (in green) for Chapter 7.

Chapter 1 Assessment and Answers

This document contains the questions and answers for the assessment from Chapter 1.

Chapter 2 Assessment and Answers

This document contains the questions and answers for the assessment from Chapter 2.

Chapter 3 Assessment and Answers

This document contains the questions and answers for the assessment from Chapter 3.

Chapter 4 Assessment and Answers

This document contains the questions and answers for the assessment from Chapter 4.

Chapter 5 Assessment and Answers

This document contains the questions and answers for the assessment from Chapter 5.

Chapter 6 Assessment and Answers

This document contains the questions and answers for the assessment from Chapter 6.

Chapter 7 Assessment and Answers

This document contains the questions and answers for the assessment from Chapter 7.

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