5th Grade Mathematics

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Teacher: Joan
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Course Outline

0 Course Outline 03:04

Welcome to 5th Grade Math. Here you will find an overview of what you can expect in this course.

Numbers and Operations

0 Lesson 1 Place Value, Comparing and Ordering Numbers 17:32

The student will learn place value through the billions, as well as learn how to compare and order those numbers.

1 Lesson 1 Practice Review 08:51

Lesson 1 Review

2 Lesson 2 - Rounding and Estimating Whole Numbers 21:57

The student will learn the rules for rounding and practice this skill by estimating numbers.

3 Lesson 2 Practice Review 08:53

Lesson 2 Review

4 Lesson 1 and 2 Test 00:30

Short assessment over what was learned in Lessons 1 and 2.

5 Lesson 3 - Adding and Subtracting Whole Numbers 16:28

The student will learn the ideas behind the standard algorithm for adding and subtracting and practice regrouping in both instances.

6 Lesson 3 Practice Review 09:11

Lesson 3 Review

7 Lesson 4 - Multiplying Whole Numbers 19:30

The student will learn the ideas behind the standard algorithm for multiplying. They will discover why this shortcut works and will practice multiplying 3 digit by 2 digit numbers.

8 Lesson 4 Practice Review Answers 10:56

Lesson 4 Review

9 Lesson 3 and 4 Test 00:00

Short assessment over what was learned in Lesson 3 and 4.

10 Lesson 5 Part 1 - Dividing with 1 and 2 Digit Divisors (2 parts) 21:23

A 2 part video lesson in which the student will learn the ideas behind dividing with 1 and 2 digit divisors and will be shown multiple examples on how it is done.

11 Lesson 5 Part 1 Practice Review 04:50

Lesson 5 Part 1 Review

12 Lesson 5 Part 2 - Dividing with 1 and 2 Digit Divisors 15:06

A 2 part video lesson in which the student will learn the ideas behind dividing with 1 and 2 digit divisors and will be shown multiple examples on how it is done.

13 Lesson 5 Part 2 Practice Review Answers 09:35

Lesson 5 Part 2 Review

14 Lesson 6 - Zeros in the Quotient 12:14

The student will learn why it is important to pay attention to when they need a zero in their quotient as a zero placeholder.

15 Lesson 6 Practice Review 08:01

Lesson 6 Review

16 Lesson 5 and 6 Test 00:00

Short Assessment over what was learned in Lesson 5 and 6.

Fractions and Decimals

17 Lesson 7 - How Fractions and Decimals are Related 19:02

The student will learn part to whole relationship in this lesson and how it relates to decimals.

18 Lesson 7 Practice Review 08:04

Lesson 7 Review

19 Lesson 8 Decimal Place Value and Comparing and Ordering 12:54

The student will learn the place value for the fractional parts of a whole as well as learn to compare and order decimals.

20 Lesson 8 Practice Review 06:25

Lesson 8 Review

21 Lesson 7 and 8 Test 00:00

Short assessment over what was learned in Lesson 7 and 8.

22 Lesson 9 - Adding and Subtracting Decimals 10:20

The student will learn the importance of lining up place value correctly before adding and subtracting decimals. The student will also learn that it is very important to add the required zero at the end if needed in a subtraction problem.

23 Lesson 9 Practice Review 07:59

Lesson 9 Review

24 Lesson 10 Mixed Number and Improper Fractions 14:06

The student will learn what a mixed number and improper fraction is as well as how to change from one to another.

25 Lesson 10 Practice Review 05:49

Lesson 10 Review

26 Lesson 9 and 10 Test 00:00

Short Assessment over what was learned in Lesson 9 and 10.

27 Lesson 11 - Equivalent Fractions 08:40

The student will learn how to identify equivalent fractions as well as make equivalent fractions.

28 Lesson 11 Practice Review 10:23

Lesson 11 Review

29 Lesson 12 - Factors of a Number 10:49

The student will learn what is meant by factors of a number. The student will also learn how to list the factors of a number and know when their list is complete.

30 Lesson 12 Practice Review 07:35

Lesson 12 Review

31 Lesson 13 - Prime and Composite Numbers 12:30

The student will learn what a prime and composite number is and how to identify numbers accordingly.

32 Lesson 13 Practice Review 04:42

Lesson 13 Review

33 Lesson 11, 12, and 13 Test 00:00

Short assessment over what was learned in lesson 11, 12, and 13.

34 Lesson 14 - Simplest Form and Greatest Common Factor 13:48

The student will learn how to find the Greatest Common Factor between 2 numbers and take the GCF to simplify a fraction to lowest terms.

35 Lesson 14 Practice Review 07:33

Lesson 14 Review

36 Lesson 15 - Comparing and Ordering Fractions 16:31

The student will learn how to compare fractions by comparing to benchmarks of 0, 1/2, and 1 and to use logical reasoning as well as a common denominator to help determine order of fractions.

37 Lesson 15 Practice Review 08:54

Lesson 15 Review

38 Lesson 16 - Adding and Subtracting Fractions 09:25

The student will learn how to add and subtract fractions with like and unlike denominators using the least common denominator.

39 Lesson 16 Practice Review 08:15

Lesson 16 Review

40 Lesson 14, 15, and 16 Test 00:00

Short assessment over what was learned in Lesson 14, 15 and 16.

Algebraic Thinking

41 Lesson 17 - Variables, Patterns, and Expressions 06:29

The students will learn what a variable is and why we use them to write algebraic expressions and equations.

42 Lesson 17 Practice Review 06:29

Lesson 17 Review

43 Lesson 18 - Addition and Subtraction Patterns 04:52

The student will learn to identify when the pattern in adding and subtracting in a table and be able to be able to identify the specific pattern.

44 Lesson 18 Practice Review 05:17

Lesson 18 Review

45 Lesson 19 - Multiplication and Division Patterns 04:05

The student will learn to identify patterns that are multiplication and division and be able to identify the rule in a table of values.

46 Lesson 19 Practice Review 04:52

Lesson 19 Review

47 Lesson 17, 18, and 19 Test 00:00

Short assessment over what was learned in lesson 17, 18, and 19.

Geometric Concepts

48 Lesson 20 - Basics of Geometry 13:33

The student will all the necessary geometric vocabulary that is used in the future lessons as well as how to name and write geometric features such as points, lines and rays.

49 Lesson 20 Practice Review 05:14

Lesson 20 Review

50 Lesson 21 - Measuring and Classifying Angles 12:49

The student will learn how to measure angles using a protractor as well as classify angles.

51 Lesson 21 Practice Review 03:18

Lesson 21 Review

52 Lesson 22 - Polygons and Triangles 12:23

The student will learn what attributes make a polygon and how to determine if it is regular. The student will also learn how to name triangles by their sides and angles.

53 Lesson 22 Practice Review 05:32

Lesson 22 Review

54 Lesson 23 - Quadrilaterals 07:54

The student will learn the names and attributes of quadrilaterals which include parallelogram, trapezoid, rectangle, rhombus and square.

55 Lesson 23 Practice Review 04:19

Lesson 23 Review

56 Lesson 20-23 Test 00:00

Short assessment over what was learned in lesson 20-23.

57 Lesson 24 - 3D Solids 08:13

The student will learn what a face, edge and vertex is of a 3D solid. The student will also be able to identify if a solid is a prism, pyramid, cylinder or cone.

58 Lesson 24 Practice Review 05:48

Lesson 24 Review

59 Lesson 25 - Coordinate Points 12:22

The student will learn how to plot coordinate points on the first quadrant of the coordinate plane.

60 Lesson 25 Practice Review 06:35

Lesson 25 Review

61 Lesson 26 - Translations, Reflections, and Rotations 10:40

The student will learn the 3 transformations that are plotted on a coordinate grid.

62 Lesson 26 Practice Review 04:48

Lesson 26 Review

63 Lesson 24, 25, 26 Test 00:00

Short assessment over what was learned in lesson 24-26.

Measurement

64 Lesson 27 - Customary Units of Measure 12:04

The student will learn the appropriate units of customary measure used for length, capacity and weight.

65 Lesson 27 Practice Review 05:06

Lesson 27 Review

66 Lesson 28 - Converting Customary Units of Measure 11:12

The student will learn how to convert customary units of measure including feet, inches, yards, miles, gallons, quarts, pints, cups, ounces, pounds and ton.

67 Lesson 28 Practice Review 08:58

Lesson 28 Review

68 Lesson 27 and 28 Test 00:00

Short assessment over what was learned in Lesson 27 and 28.

69 Lesson 29 - Metric Units of Measure 09:34

The student will learn about the metric units used to measure length, capacity and mass.

70 Lesson 29 Practice Review 02:23

Lesson 29 practice answers

71 Lesson 30 - Converting Metric Units of Measure 05:50

The student will learn how to convert metric units for measure including meters, centimeters, millimeters, liters, kiloliters, grams and kilograms.

72 Lesson 30 Practice Review 05:42

Lesson 30 Review

73 Lesson 29 and 30 Test 00:00

Short assessment over what was learned in Lesson 29 and 30.

74 Lesson 31 - Perimeter 04:51

The student will learn the formulas used to find perimeter of a rectangle and square. They will also practice how to find perimeter.

75 Lesson 31 Practice Review 06:15

Lesson 31 Review

76 Lesson 32 - Area of Squares, Rectangles and Parallelograms 08:45

The student will learn the formulas used to find area of squares, rectangles and parallelograms and practice finding the area of these items.

77 Lesson 32 Practice Review 05:06

Lesson 32 Review

78 Lesson 33 - Area of Triangles 05:56

The student will learn the formula for finding the area of a triangle and practice finding the area of triangles.

79 Lesson 33 Practice Review 06:27

Lesson 33 Review

80 Lesson 34 - Volume 09:48

The student will find the volume of a rectangular prism. The student will also find a missing side when given two side lengths and the volume.

81 Lesson 34 Practice Review 05:12

Lesson 34 Review

82 Lesson 35 - Elapsed Time 08:46

The student will find elapsed time given starting and stop times. The student will also find start or stop times given the elapsed time and a start/stop time.

83 Lesson 35 Practice Review 07:25

Lesson 35 Review

84 Lesson 31-35 Test 00:00

Short assessment over what was learned in Lesson 31-35.

Probability and Statistics

85 Lesson 36 Bar Graph and Picture Graphs 09:30

The student will interpret bar and picture graphs to answer questions about the graphs.

86 Lesson 36 Practice Review 03:43

Lesson 36 Review

87 Lesson 37 - Line Graphs 09:56

The student will learn how to interpret line graphs and answer question about them.

88 Lesson 37 Practice Review 04:45

Lesson 37 Review

89 Lesson 38 - Mean, Median, Mode, and Range 12:23

The student will learn how to find measures of central tendency.

90 Lesson 38 Practice Review 09:42

Lesson 38 Review

91 Lesson 36-38 Test 00:00

Short assessment on what was learned in lesson 36-38

92 Lesson 39 - Outcomes in Probability 04:58

The student will learn how to find outcomes in a probability experiment. The student will also learn the counting principle.

93 Lesson 39 Practice Review 02:49

Lesson 39 Review

94 Lesson 40 Finding Probability and Making Predictions 09:36

The student will find theoretical probability of an experiment and make predictions.

95 Lesson 40 Practice Review 07:01

Lesson 40 Review

96 Lesson 39 and 40 Test 00:00

Short assessment over what was learned in lesson 39 and 40.

Course Summary:

This course is designed to give students a concrete look at all concepts in 5th grade mathematics.  I don't just explain how to do the lesson, but I explain why it works and where all the shortcuts in math come from. Each video lesson includes the vocabulary that is important in the lesson as well as an example.  The course is set up in a way that builds upon itself naturally. For example, once fractions have been taught, then decimals can be taught because the student understands part to whole relationships. Each lesson has thorough video lesson with practice worksheet.  The lesson is followed up with a video to show how to solve each problem on the worksheet to check your answers.  Every 2-3 lessons there is an assessment with answer key to determine how well the information is being retained.  

The course begins with a review of whole number concepts needed to build on to 5th grade mathematics with topics such as fractions and decimals.  Topics covered include all operations with whole numbers, understanding fractions, adding and subtracting fractions, patterns, expressions, equations, geometry concepts including 2-D and 3-D shapes.  We also work on measurement concepts with both customary and metric units.  We end the course with probability and statistics lessons.

 

Target Audience: 

This course is intended for all students entering 5th grade who have demonstrated proficiency in 4th grade mathematics.  Content and pacing is geared to meet needs of students performing at or above grade level, or advanced 4th grade students.  This course is also appropriate for 6th grade students looking for a comprehensive review of 5th grade math.  

 

Couse Includes:

  • Over 15 hours of video lessons
  • 40 video lessons
  • 40 practice sheets
  • 40 practice review video lessons where I review the exercise questions
  • 15 check up digital assessments
  • 15 digital assessment answer keys (parents only)
  • Printable resources to help navigate the lessons

 

Course Lesson Sequence: 

Numbers and Operations

  • Place Value, Comparing  and Ordering Whole Numbers  through Billions 
  • Rounding and Estimating Whole Numbers
  • Adding and Subtracting Whole Numbers through billions
  • Multiplying Whole numbers including Estimation for Reasonableness 
  • Dividing with 1 and 2 digit divisors including estimation (2 lessons)
  • Dividing with zeros in the quotient 

 

Fractions and Decimals

  • Fractions and Decimals and how they are related 
  • Decimal Place Value and Comparing, Ordering, and Rounding Decimals 
  • Adding and Subtracting Decimals 
  • Mixed Numbers and Improper Fractions 
  • Equivalent Fractions 
  • Factors of a Number
  • Prime and Composite Numbers
  • Fractions in Simplest Form including Common factors and Greatest Common Factor 
  • Comparing and Ordering Fractions 
  • Adding and Subtracting Fractions with Like and Unlike Denominators

 

Algebraic Thinking

  • Variables, Patterns and Expressions 
  • Addition and Subtraction Patterns and writing expressions 
  • Multiplication and Division Patterns and writing expressions 

 

Geometry Concepts

  • Basics of Geometry 
  • Measuring and Classifying Angles 
  • Polygons and Triangles 
  • Quadrilaterals 
  • 3-D Solids 
  • Coordinate Points (Cartesian Plane) 
  • Translations, Reflections and Rotations 

 

Measurement

  • Customary Units of Measurement  
  • Converting Customary Units of Measurement
  • Metric Units of Measurement  
  • Converting Metric Units of Measurement 
  • Perimeter 
  • Area of Squares, Rectangles and Parallelograms 
  • Area of Triangles 
  • Volume
  • Elapsed Time 

 

Probability and Statistics

  • Bar graphs and Picture Graphs 
  • Line Graphs 
  • Mean, Median, Mode, and Range 
  • Outcomes in Probability 
  • Finding Probability in Experiments and Making Predictions 
  • Teacher: Joan
  • Areas of expertise: Mathematics, Technology
  • Education: Bachelor of Education, Elementary Education
  • Interests: I like to try anything that deals with technology. I am always learning new and different things.
  • Skills: I love to crochet and knit.
  • Associations: I love animals, so I volunteer at the local SPCA.
  • Issues I care about: My students that I teach make a difference in my life just as much as I do theirs.

I love teaching. My students are my life line. Although I always enjoy my summer break, I look forward to going back to school in the fall to be able to touch the lives of a whole new group of kids.

Lesson 1 Resources

Lesson 1 Annotated Notes, Practice Answers, and Place Value Chart

Lesson 2 Resources

Lesson 2 Annotated Notes and Practice Answers

Lesson 1 and 2 Test Answer Key

Answer key to lesson 1 and 2 test.

Lesson 3 Resources

Lesson 3 Annotated Notes and Practice Answers

Lesson 4 Resources

Lesson 4 Annotated Notes and Practice Answers

Lesson 3 and 4 Test Answer Key

Answer key to lesson 3 and 4 test.

Lesson 5 Part 1 Resources

Lesson 5 Part 1 Annotated Notes and Practice Answers

Lesson 5 Part 2 Resources

Lesson 5 Part 2 Annotated Notes and Practice Answers

Lesson 6 Resources

Lesson 6 Annotated Notes and Practice Answers

Lesson 5 and 6 Test Answer Key

Answer key to lesson 5 and 6 test.

Lesson 7 Resources

Lesson 7 Annotated Notes, Practice Answers, and Equivalent Fractions and Decimals Chart

Lesson 8 Resources

Lesson 8 Annotated Notes, Practice Answers, and Decimal Place Value Chart

Lesson 7 and 8 Test Answer Key

Answer key to lesson 7 and 8 test.

Lesson 9 Resources

Lesson 9 Annotated Notes and Practice Answers

Lesson 10 Resources

Lesson 10 Annotated Notes and Practice Answers

Lesson 9 and 10 Test Answer Key

Answer key to lesson 9 and 10 test.

Lesson 11 Resources

Lesson 11 Annotated Notes, Practice Answers, and Fraction Strip Models

Lesson 12 Resources

Lesson 12 Annotated Notes and Practice Answers

Lesson 13 Resources

Lesson 13 Annotated Notes and Practice Answers

Lesson 11, 12, and 13 Test Answer Key

Answer key to lesson 11-13 test.

Lesson 14 Resources

Lesson 14 Annotated Notes and Practice Answers

Lesson 15 Resources

Lesson 15 Annotated Notes and Practice Answers

Lesson 16 Resources

Lesson 16 Annotated Notes and Practice Answers

Lesson 14, 15, and 16 Test Answer Key

Answer key to lesson 14-16 test.

Lesson 17 Resources

Lesson 17 Annotated Notes and Practice Answers

Lesson 18 Resources

Lesson 18 Annotated Notes and Practice Answers

Lesson 19 Resources

Lesson 19 Annotated Notes and Practice Answers

Lesson 17, 18, and 19 Test Answer Key

Answer key to lesson 17-19 test.

Lesson 20 Resources

Lesson 20 Annotated Notes and Practice Answers

Lesson 21 Resources

Lesson 21 Annotated Notes, Practice Answers, and Protractor

Lesson 22 Resources

Lesson 22 Annotated Notes, Practice Answers and Video of Proof of 3 angles of a triangle add to 180 degrees.

Lesson 23 Resources

Lesson 23 Annotated Notes, Practice Answers, and Video of Quadrilateral 4 angles equal 360 degrees.

Lesson 20-23 Test Answer Key

Answer key to Lesson 20-23 test.

Lesson 24 Resources

Lesson 24 Annotated Notes and Practice Answers

Lesson 25 Resources

Lesson 25 Annotated Notes, Practice Answers, and blank first quadrant grids for practice

Lesson 26 Resources

Lesson 26 Annotated Notes and Practice Answers

Lesson 24-26 Test Answer Key

Answer key to lesson 24-26 test.

Lesson 27 Resources

Lesson 27 Annotated Notes, Practice Answers, and Grade 5 Math Chart

Lesson 28 Resources

Lesson 28 Annotated Note, Practice Answers and Customary Unit Resource

Lesson 27 and 28 Test Answer Key

Answer key to lesson 27 and 28 test.

Lesson 29 Resources

Lesson 29 Annotated Notes and Practice Answers

Lesson 30 Resources

Lesson 30 Annotated Notes, Practice Answers, and Metric Units Resource

Lesson 29 and 30 Test Answer Key

Answer key to lesson 29 and 30 test.

Lesson 31 Resources

Lesson 31 Annotated Notes and Practice Answers

Lesson 32 Resources

Lesson 32 Annotated Notes and Practice Answers

Lesson 33 Resources

Lesson 33 Annotated Notes and Practice Answers

Lesson 34 Resources

Lesson 34 Annotated Notes and Practice Answers

Lesson 35 Resources

Lesson 35 Annotated Notes and Practice Answers

Lesson 31-35 Test Answer Key

Answer key for lesson 31-35 test.

Lesson 36 Resources

Lesson 36 Annotated Notes and Practice Answers

Lesson 37 Resources

Lesson 37 Annotated Notes and Practice Answers

Lesson 38 Resources

Lesson 38 Annotated Notes and Practice Answers

Lesson 36-38 Test Answer Key

Answer key for lesson 36-38 test.

Lesson 39 Resources

Lesson 39 Annotated Notes and Practice Answers

Lesson 40 Resources

Lesson 40 Annotated Notes and Practice Answers

Lesson 39 and 40 Test Answer Key

Answer key to Lesson 39 and 40 test.

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