# Real World Math and Problem Solving

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Teacher: Danielle
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#### 0 Introduction 03:01

Introduction to Real World Math and Problem Solving for Grades 4 and 5.

#### 1 Lesson 1 Place Value 1 17:15

Introduction to Place Value.

#### 2 Lesson 1 Place Value 1 Practice Review 07:35

Review of practice problems from Lesson 1 Place Value 1.

#### 4 Lesson 2 Place Value 2 Practice Review 09:55

Review of Place Value 2 Practice.

#### 5 Lesson 3 Addition and Subtraction 17:37

Addition and subtraction of large numbers.

#### 6 Lesson 3 Addition and Subtraction Practice Review 16:29

Review of practice sheet of large number addition and subtraction

#### 7 Lesson 4 Unit 1 Test 00:00

Unit 1 Place Value, Addition and Subtraction Test.

#### 8 Lesson 5 Clue Finders 10:14

Investigate which clue words (key words) lead indicate which mathematical operation.

#### 9 Lesson 5 Clue Finders Practice Review 03:36

Review of Clue Finders practice

#### 10 Lesson 6 Clue Words Practical Application 14:37

Applying clue words to problem solving.

#### 11 Lesson 6 Clue Words Practical Application Practice Review 12:33

Review of practice for Clue Words Practical Application.

#### 12 Lesson 7 Constructing Numerical Expressions Introduction 14:39

Introduce constructing numerical expressions and order of operations.

#### 13 Lesson 7 Constructing Numerical Expressions Introduction Practice Review 04:23

Practice review for constructing numerical expressions introduction.

#### 14 Lesson 8 Constructing Numerical Expressions 20:24

Lesson covering constructing and understanding numerical expressions.

#### 15 Lesson 8 Constructing Numerical Expressions Practice Review 10:35

Review of constructing numerical expressions practice.

#### 16 Lesson 9 Unit 2 Test 00:00

Unit 2 Words as Math Test.

#### 17 Lesson 10 Multiplication Properties 19:59

Lesson on multiplication properties.

#### 18 Lesson 10 Multiplication Properties Practice Review 04:45

Review of multiplication properties practice review.

#### 19 Lesson 11 Multi-Digit Multiplication by 1 Digit 28:10

Multiply 2 and 3 digit numbers by 1 digit.

#### 20 Lesson 11 Multi-Digit Multiplication by 1 Digit Practice Review 07:20

2 and 3 digit numbers multiplied by 1 digit practice review.

#### 21 Lesson 12 Multiplying 2 Digit Numbers 23:08

Learn different ways to multiply 2 digit numbers.

#### 22 Lesson 12 Multiplying 2 Digit Numbers Practice Review 08:49

Review of multiplying 2 digit numbers practice.

#### 23 Lesson 13 Multi-Digit Multiplication Part 1 22:53

Multiplying digits up to 4 digits.

#### 24 Lesson 13 Multi-Digit Multiplication Part 1 Practice Review 06:46

Review of multi-digit multiplication part 1 practice review.

#### 25 Lesson 14 Multi-Digit Multiplication Part 2 18:36

Part 2 of multi-digit multiplication.

#### 26 Lesson 14 Multi-Digit Multiplication Part 2 Practice Review 13:07

Review of multi-digit multiplication part 2 practice.

#### 27 Lesson 15 Unit 3 Test 00:00

Unit 3 Multiplication Test

#### 28 Lesson 16 Interpreting Remainders and Intro to Division 27:41

Lesson covering an introduction to division.

#### 29 Lesson 16 Interpreting Remainders and Intro to Division Practice Review 10:02

Practice Review of Interpreting Remainders and Intro to Division.

#### 30 Lesson 17 Investigating Division 28:28

Investigating division through area models, estimation and dividing numbers that end in 0.

#### 31 Lesson 17 Investigating Division Practice Review 09:38

Review of investigating division practice.

#### 32 Lesson 18 Partial Quotients - Solving the Puzzle 25:38

Solving division through partial quotients.

#### 33 Lesson 18 Partial Quotients - Solving the Puzzle Practice Review 09:34

Review of partial quotients practice.

#### 34 Lesson 19 Long Division 21:06

Video of Long Division

#### 35 Lesson 19 Long Division Practice Review 13:15

Practice Review of long division.

#### 36 Lesson 20 Division Blitz 28:52

Extra division practice

#### 37 Lesson 20 Division Blitz Practice Review 13:38

Practice review of division blitz practice.

#### 38 Lesson 21 Unit 4 Test 00:00

Unit 4 Division Test

#### 39 Lesson 22 Factors and Multiples 25:08

Lesson covering factors and multiples.

#### 40 Lesson 22 Factors and Multiples Practice Review 11:04

Review of factors and multiples practice.

#### 41 Lesson 23 Prime and Composite Numbers 18:28

Lesson covering prime and composite numbers.

#### 42 Lesson 23 Prime and Composite Numbers Practice Review 04:34

Review of prime and composite numbers practice.

#### 43 Lesson 24 Recognizing Patterns 23:38

Learn to recognize rules, continue patterns and make inferences.

#### 44 Lesson 24 Recognizing Patterns Practice Review 04:38

Review of recognizing patterns practice.

#### 45 Lesson 25 Unit 5 Test 00:00

Unit Test on Factors, Multiples and Patterns.

#### 46 Lesson 26 Equivalent Fractions 23:07

Introduction to equivalent fractions.

#### 47 Lesson 26 Equivalent Fractions Practice Review 04:16

Review of equivalent fractions practice.

#### 48 Lesson 27 Comparing Fractions 21:46

Introduction to comparing fractions

#### 49 Lesson 27 Comparing Fractions Practice Review 13:52

Review of comparing fractions practice.

#### 50 Lesson 28 Mixed Numbers and Improper Fractions 20:02

Introduction to mixed numbers and improper fractions.

#### 51 Lesson 28 Mixed Numbers and Improper Fractions Practice Review 04:21

Review of mixed numbers and improper fractions practice.

#### 52 Lesson 29 Unit 6 Test 00:00

Test on unit 6 Intro to Fractions.

#### 54 Lesson 30 Intro to Adding Fractions Practice Review 04:55

Review of intro to adding fractions practice.

#### 56 Lesson 31 Intro to Adding Mixed Numbers Practice Review 05:21

Review of intro to adding mixed numbers practice.

#### 57 Lesson 32 Adding Hundredths and Tenths 19:58

Adding fractions with tenths and hundredths.

#### 58 Lesson 32 Adding Hundredths and Tenths Practice Review 05:09

Review of adding hundredths and tenths practice.

#### 61 Lesson 34 Adding Mixed Numbers 29:07

Lesson on adding mixed numbers with different denominators.

#### 62 Lesson 34 Adding Mixed Numbers Practice Review 11:11

Review of adding mixed numbers practice.

#### 64 Lesson 35 Adding Fractions on Line Plots Practice Review 07:51

Review of adding fractions on line plots practice.

#### 65 Lesson 36 Unit 7 Test 00:00

Test for Unit 7 Adding Fractions

#### 66 Lesson 37 Subtracting Fractions and Mixed Numbers with Common Denominators 25:13

Introduction to subtracting fractions and mixed numbers with common denominators

#### 67 Lesson 37 Subtracting Fractions and Mixed Numbers with Common Denominators Practice Review 06:02

Review of lesson 37 practice.

#### 68 Lesson 38 Subtracting Fractions and Mixed Numbers with Different Denominators 28:36

Lesson covering subtraction of fractions and mixed numbers with different denominators.

#### 69 Lesson 38 Subtracting Fractions and Mixed Numbers with Different Denominators Practice Review 08:36

Review of subtracting fractions and mixed numbers with different denominators.

#### 70 Lesson 39 Exploring Adding and Subtracting Fractions 14:38

Lesson explores adding 3 or more fractions and finding missing values.

#### 71 Lesson 39 Exploring Adding and Subtracting Fractions Practice Review 08:24

Review of exploring adding and subtracting fractions practice.

#### 72 Lesson 40 Unit 8 Test 00:00

Unit 8 test for subtracting fractions.

#### 73 Lesson 41 Intro to Multiplying Fractions 21:11

Introduction to multiplying fractions.

#### 74 Lesson 41 Intro to Multiplying Fractions Practice Review 05:07

Review of Intro to Multiplying Fractions practice.

#### 75 Lesson 42 Understanding Multiplying Fractions 20:52

Lesson on multiplying fractions

#### 76 Lesson 42 Understanding Multiplying Fractions Practice Review 03:43

Review of Understanding Multiplying Fractions Practice

#### 77 Lesson 43 Multiplying Fractions and Mixed Numbers 21:14

Lesson on multiplying fractions and mixed numbers.

#### 78 Lesson 43 Multiplying Fractions and Mixed Numbers Practice Review 08:32

Review of Multiplying Fractions and Mixed Numbers Practice

#### 79 Lesson 44 Relationship Between Multiplication and Division of Fractions 19:37

Lesson explores the relationship between multiplication and division of fractions.

#### 80 Lesson 44 Relationship Between Multiplication and Division of Fractions Practice Review 01:37

Review of Relationship Between Multiplication and Division of Fractions Practice.

#### 81 Lesson 45 Intro to Dividing Fractions 13:51

Introduction to Dividing Fractions

#### 82 Lesson 45 Intro to Dividing Fractions Practice Review 03:56

Review for Intro to Dividing Fractions Practice

#### 83 Lesson 46 Unit 9 Test 00:00

Unit 9 Multiplying and Dividing Fractions Test

#### 84 Lesson 47 Fractions as Decimals 19:25

Introduction to decimals and how they relate to fractions.

#### 85 Lesson 47 Fractions as Decimals Practice Review 01:36

Review of Fractions as Decimals Practice

#### 86 Lesson 48 Writing Fractions and Decimals 18:42

Introduction to decimals continued.

#### 87 Lesson 48 Writing Fractions and Decimals Practice Review 02:24

Review of writing fractions and decimals practice.

#### 88 Lesson 49 Ways of Writing Decimals 17:32

Investigate different ways of writing decimals.

#### 89 Lesson 49 Ways of Writing Decimals Practice Review 05:19

Review of Ways of Writing Decimals Practice.

#### 90 Lesson 50 Manipulating Decimals 19:11

More in depth introduction to decimals.

#### 91 Lesson 50 Manipulating Decimals Practice Review 07:34

Review of Manipulating Decimals Practice.

#### 92 Lesson 51 Decimal Fun 24:29

More investigation of decimals

#### 93 Lesson 51 Decimal Fun Practice Review 04:56

Review of Decimal Fun Practice

#### 94 Lesson 52 Comparing Decimals 17:26

Lesson on comparing decimals

#### 95 Lesson 52 Comparing Decimals Practice Review 03:34

Review of Comparing Decimals Practice

#### 96 Lesson 53 Powers of Ten 22:40

Lesson introducing exponents.

#### 97 Lesson 53 Powers of Ten Practice Review 03:13

Review of Powers of Ten Practice

#### 98 Lesson 54 Unit 10 Test 00:00

Unit 10 Understanding Decimals Test

#### 100 Lesson 55 Intro to Adding Decimals Practice Review 03:04

Review of Intro to Adding Decimals Practice

#### 103 Lesson 57 Subtracting Decimals 16:27

Lesson on subtracting decimals

#### 104 Lesson 57 Subtracting Decimals Practice Review 02:46

Review of Subtracting Decimals Practice

#### 105 Lesson 58 Unit 11 Test 00:00

Unit 11 Adding and Subtracting Decimals Test

#### 106 Lesson 59 Intro to Multiplying Decimals 22:31

Introduction to multiplying decimals

#### 107 Lesson 59 Intro to Multiplying Decimals Practice Review 04:35

Review of Intro to Multiplying Decimals Practice

#### 108 Lesson 60 Multiplying Decimals 18:37

More investigation of multiplying decimals

#### 109 Lesson 60 Multiplying Decimals Practice Review 05:02

Review of Multiplying Decimals Practice

#### 110 Lesson 61 Dividing Decimals by Whole Numbers 14:00

Introduction to dividing decimals by whole numbers.

#### 111 Lesson 61 Dividing Decimals by Whole Numbers Practice Review 03:09

Review of Dividing Decimals by Whole Numbers Practice

#### 112 Lesson 62 Dividing Whole Numbers by Decimals 20:02

Dividing decimals by whole numbers.

#### 113 Lesson 62 Dividing Whole Numbers by Decimals Practice Review 03:08

Review of Dividing Whole Numbers by Decimals Practice

#### 114 Lesson 63 Unit 12 Test 00:00

Unit 12 Multiplying and Dividing Decimals Test

#### 115 Lesson 64 Intro to Geometry and Lines 25:09

Introduction to Geometry

#### 116 Lesson 64 Intro to Geometry and Lines Practice Review 01:32

Review of Intro to Geometry and Lines Practice

#### 117 Lesson 65 Intro to Angles 21:23

Introduction to Angles

#### 118 Lesson 65 Intro to Angles Practice Review 02:52

Review of Intro to Angles Practice

#### 119 Lesson 66 Classifying Angles and Triangles 24:19

Classifying Angles and Triangles

#### 120 Lesson 66 Classifying Angles and Triangles Practice Review 04:12

Review of Classifying Angles and Triangles Practice

#### 123 Lesson 68 Polygons and Symmetry 17:51

Lesson covering polygons and symmetry

#### 124 Lesson 68 Polygons and Symmetry Practice Review 01:51

Review of Polygons and Symmetry Practice

#### 125 Lesson 69 Unit 13 Test 00:00

Unit 13 Planar Figures Test

#### 126 Lesson 70 Intro to Volume 19:12

Introduction to volume of rectangular prisms

#### 127 Lesson 70 Intro to Volume Practice Review 02:47

Review of Intro to Volume Practice

Exploring Volume

#### 129 Lesson 71 Exploring Volume Practice Review 03:53

Review of Exploring Volume Practice

#### 130 Lesson 72 Unit 14 Test 00:00

Unit 14 Volume Test

#### 131 Lesson 73 Intro to the Coordinate Plane 11:09

Introduction to the coordinate plane

#### 132 Lesson 73 Intro to the Coordinate Plane Practice Review 02:37

Review Intro the Coordinate Plane Practice

#### 133 Lesson 74 Input and Output 21:14

Input and output and patterns on the coordinate plane

#### 134 Lesson 74 Input and Output Practice Review 05:49

Review of Input and Output Practice

#### 135 Lesson 75 Unit 15 Test 00:00

Unit 15 Coordinate Plane Test

#### 136 Lesson 76 Time 25:09

Units and conversion of units of time.

#### 137 Lesson 76 Time Practice Review 07:34

Review of Time Practice

#### 138 Lesson 77 Money 19:21

Units of money and conversion of units.

#### 139 Lesson 77 Money Practice Review 05:06

Review of Money Practice

#### 140 Lesson 78 Distance 27:39

Units of Distance and conversions.

#### 141 Lesson 78 Distance Practice Review 04:50

Review of Distance Practice

#### 142 Lesson 79 Volume 23:36

Units of volume and conversions.

#### 143 Lesson 79 Volume Practice Review 07:09

Review of Volume Practice

#### 144 Lesson 80 Mass and Weight 19:44

Mass and Weight units and conversions

#### 145 Lesson 80 Mass and Weight Practice Review 05:19

Review of Mass and Weight Practice

#### 146 Unit 16 Test 00:00

Unit 16 Units of Measurement Test

Course Overview

This unique course covers both the fourth and fifth grade common core math curriculum and additional concepts that will help students as they navigate through life. The course features a logical progression of new concepts as students develop their understanding of mathematical processes.  New concepts are introduced visually and with different techniques that address different learning styles. The result is that each student can use the techniques and styles that work best for them to quickly understand concepts. Students are encouraged to think logically and critically about each new concept and to become detectives who make inferences based on the information given and who investigate how new concepts relate to old concepts. Every unit contains many real world applications of the concepts introduced during the unit and because the grades are combined into one course, students have more opportunities for in depth study and understanding of the concepts.

This course includes:

• 16 Units
• 65 Video Lessons
• 65 Practice Documents
• 65 Activity Review Videos (I personally go over each exercise one by one from start to finish)
• 16 Unit Tests
• Hundreds of practice exercises
• Over 25 additional resources including real life exploration, games, and additional practice
• Over 20 Hours of Video Instruction!

What are the Course Goals for your student?

Students will be able to apply critical thinking and problem solving skills to math as well as life in general. Students will understand how the mathematical concepts are applied to real life.

Who is this course for and what are the requirements?

This course is intended primarily for fourth and fifth grade students.  Some advanced third grade students may find the course appropriate. Sixth grade students who would like a review of fourth or fifth grade topics would also find the course appropriate.  All students must have a good understanding of third grade math concepts including multiplication and division tables.

What topics are covered in this course?

• Place Value
• Subtraction of large numbers
• Analyzing key words
• Constructing Numerical Expressions
• Multiplication (up to 4 digits)
• Division (up to 4 digits)
• Factors
• Multiples
• Patterns
• Fractions
• Subtracting Fractions
• Multiplying Fractions
• Dividing Fractions
• Decimals
• Subtracting Decimals
• Multiplying Decimals
• Dividing Decimals
• Geometry
• Angles
• Classifying Triangles
• Polygons
• Reflexive Symmetry
• Volume of Rectangular Prisms
• Coordinate Planes
• Money
• Time
• Distance
• Volume
• Mass and Weight
• Conversions of Different Units of Measurement
• Teacher: Danielle
• Areas of expertise: Mathematics
• Education: B.A. from Boston University
• Interests: Traveling, Figure Skating, Astronomy, Reading
• Skills: Figure Skating, Puzzles, Games
• Associations: PSA, USFS
• Issues I care about: Quality education for all, Nature conservation, Equal rights for all.

I want to share my love of math. I love to analyze numbers, operations and how concepts are related to each other. I believe that math teaches logical thinking which benefits students in all aspects of life now and in the future.

#### Test Preparation Document

Test Preparation Document

#### Digital Quizzes and Tests Answer Keys Document

Digital Quizzes and Tests Answer Keys Document

#### Supplemental Activity Place Value 1

Fun activity for students about the value of money and place value.

#### Supplemental Activity Place Value 2

Fun activity the whole family can participate in.

#### Supplemental Activity Clue Finders

Hands on activity to help students categorize clue finder words.

#### Supplemental Activity Multiplication Game

Family activity game to practice multiplication of up to 4 digits.

#### Supplemental Activity Multiplication Practice

Extra practice of large digit multiplication (up to 4 digits).

#### Supplemental Activity Multiplication Practice Answer Key

Answer key for supplemental activity multiplication practice.

#### Supplemental Activity Division Game

Fun family division activity.

#### Supplemental Activity Division Practice

Extra Division Practice.

#### Supplemental Activity Division Practice Answer Key

Answer key for supplement activity division practice.

#### Supplemental Activity Patterns

Fun family activity to complete patterns.

#### Supplemental Activity Adding Fractions in Real Life

Find real life examples of adding fractions.

#### Supplemental Activity Adding Fractions Game

Fun family game for adding fractions

#### Supplemental Activity Subtracting Fractions in Real Life

Fun activity for subtracting fractions in real life.

#### Supplemental Activity Subtracting Fractions Game

Subtracting fractions game.

#### Supplemental Activity Subtracting Fractions Practice

Extra practice for subtracting fractions.

#### Supplemental Activity Subtracting Fractions Practice Answer Key

Answer key for extra subtracting fractions practice

#### Supplemental Activity Multiplying Fractions Exploration

Fun activity for multiplying fractions.

#### Supplemental Activity Multiplying Fractions Practice

Extra multiplying fractions practice.

#### Supplemental Activity Multiplying Fractions Practice Answer Key

Answer Key for extra multiplying fractions practice.

#### Supplemental Activity Dividing Fractions Practice

Extra practice for dividing fractions

#### Supplemental Activity Dividing Fractions Practice Answer Key

Answer key for extra dividing fractions practice.

#### Supplemental Activity Adding and Subtracting Decimals Exploration

Exploring adding and subtracting decimals in real life.

#### Supplemental Activity Adding and Subtracting Decimals Game

Fun game for adding and subtracting decimals.

#### Supplemental Activity Adding and Subtracting Decimals Practice

Extra practice for adding and subtracting decimals.

#### Supplemental Activity Multiplying Decimals Game

Fun game to practice multiplying decimals.

#### Supplemental Activity Multiplying and Dividing Decimals Practice

Extra practice for multiplying and dividing decimals

#### Supplemental Activity Multiplying and Dividing Decimals Practice Answer Key

Answer key for extra multiplying and dividing decimals practice.

#### Supplemental Activity Classifying Triangles Exploration

Classifying Triangles in real life

#### Supplemental Activity Exploring Volume

Exploring Volume in Real Life

#### Supplemental Activity Cooking (Volume) Exploration

Fun tasty recipes. Students must convert between units.

#### Supplemental Activity Conversions Practice

Extra conversion practice.

#### Supplemental Activity Conversions Practice Answer Key

Answer Key for extra conversions practice.