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Mr. P. introduces the course!

Mr. P. introduces the Unit 1 Review Sheet.

Lesson 1 Objective: we will identify the place values to the millions place (place value chart).

Mr. P. reviews the Lesson 1 problem set, quiz, and challenge.

Lesson 2 - We will analyze how a digit’s placement in a number affects its value (place value chart).

Mr. P. reviews the Lesson 2 problem set, quiz, and challenge.

Lesson 3 Objective: we will express whole numbers to the ten thousands place in standard, written, and expanded forms.

Mr. P. reviews the Lesson 3 problem set, quiz, and challenge.

Lesson 4 Objective: we will bundle units into tens and move them to the next greatest place value (place value chart).

Mr. P reviews the Lesson 4 problem set, quiz, and challenge.

Lesson 5 Objective: we will recognize that a digit represents ten times more than in the place value to its right (place value chart).

Mr. P. reviews the Lesson 5 problem set, quiz, and challenge.

Lesson 6 Objective: we will compare whole numbers to the millions place (stacking).

Mr. P. reviews the Lesson 6 problem set, quiz, and challenge.

Lesson 7 Objective: we will determine which two tens, hundreds, and thousands a given

whole number falls between (horizontal number line).

Mr. P. reviews the Lesson 7 problem set, quiz, and challenge.

Lesson 8 Objective: we will round whole numbers to the thousands place (horizontal number line).

Mr. P. reviews the Lesson 8 problem set, quiz, and challenge.

Lesson 9 Objective: we will round whole numbers to the thousands place (vertical number line).

Mr. P. reviews the Lesson 9 problem set, quiz, and challenge.

Lesson 10 Objective: we will use our understanding of rounding to assess the reasonableness of given whole numbers.

Mr. P. reviews the Lesson 10 problem set, quiz, and challenge.

Mr. P. introduces Unit 2.

Lesson 11 Objective: we will find 1, 10 and 100 more and less than a given whole number.

Mr. P. reviews the Lesson 11 problem set, quiz, and challenge.

Lesson 12 Objective: we will find half of even whole numbers and double even whole numbers.

Mr. P. reviews the Lesson 12 problem set, quiz, and challenge.

Lesson 13 Objective: we will add and subtract single-digit whole numbers across zero (number line).

Mr. P. reviews the Lesson 13 problem set, quiz, and challenge.

Lesson 14 Objective: we will add and subtract whole numbers to the hundreds place (Dutch algorithm).

Mr. P. reviews the Lesson 14 problem set, quiz, and challenge.

Lesson 15 Objective: we will add and subtract whole numbers to the thousands place (Dutch algorithm).

Mr. P. reviews the Lesson 15 problem set, quiz, and challenge.

Lesson 16 Objective: we will solve one-step addition word problems.

Mr. P. reviews the Lesson 16 problem set, quiz, and challenge.

Lesson 17 Objective: we will solve one-step subtraction word problems (draw base-10 blocks).

Mr. P. reviews the Lesson 17 problem set, quiz, and challenge.

Lesson 18 Objective: we will solve two-step addition and subtraction word problems.

Mr. P. reviews the Lesson 18 problem set, quiz, and challenge.

Mr. P. introduces Unit 3.

Lesson 19 Objective: we will list a whole number’s multiples both vertically and horizontally.

Mr. P. reviews the Lesson 19 problem set, quiz, and challenge.

Lesson 20 Objective: we will identify the correct equations for multiplicative comparisons when the greater value is unknown (bar model).

Mr. P. reviews the Lesson 20 problem set, quiz, and challenge.

Lesson 21 Objective: we will identify the correct equations for multiplicative comparisons when the greater value is unknown (bar model).

Mr. P. reviews the Lesson 21 problem set, quiz, and challenge.

Lesson 22 Objective: we will identify the correct scenarios for multiplicative comparisons when the greater value is unknown (bar model).

Mr. P. reviews the Lesson 22 problem set, quiz, and challenge.

Lesson 23 Objective: we will understand division as an unknown factor problem (fact families).

Mr. P. reviews the Lesson 23 problem set, quiz, and challenge.

Lesson 24 Objective: we will identify the correct equations for multiplicative comparisons when the lesser value is unknown (bar model).

Mr. P. reviews the Lesson 24 problem set, quiz, and challenge.

Lesson 25 Objective: we will identify the correct scenarios for multiplicative comparisons when the lesser value is unknown (bar model).

Mr. P. reviews the Lesson 25 problem set, quiz, and challenge.

Lesson 26 Objective: we will determine how many times more a greater value is than a lesser value (bar model).

Mr. P. reviews the Lesson 26 problem set, quiz, and challenge.

Lesson 27 Objective: we will determine how many times less a lesser value is than a greater value (bar model).

Mr. P. reviews the Lesson 27 problem set, quiz, and challenge.

Lesson 28 Objective: we will find all factor pairs for a whole number in the range 1 – 100.

Mr. P. reviews the Lesson 28 problem set, quiz, and challenge.

Less 29 Objective: we will determine whether a whole number in the range 1 – 100 is a factor of another whole number (factor rainbow).

Mr. P. reviews the Lesson 29 problem set, quiz, and challenge.

Lesson 30 Objective: we will determine whether a whole number in the range 1 – 100 is prime or composite (factor tree).

Mr. P. reviews the Lesson 30 problem set, quiz, and challenge.

Lesson 31 Objective: we will multiply single-digit whole numbers by 10, 100, and 1,000 and recognize patterns.

Mr. P. reviews the Lesson 31 problem set, quiz, and challenge.

Lesson 32 Objective: we will multiply 2-digit whole numbers by 1-digit whole numbers (area model).

Mr. P. reviews the Lesson 32 problem set, quiz, and challenge.

Lesson 33 Objective: we will multiply 3-digit whole numbers by 1-digit whole numbers (area model).

Mr. P. reviews the Lesson 33 problem set, quiz, and challenge.

Lesson 34 Objective: we will multiple 2-digit and 3-digit whole numbers by 2-digit whole numbers (area model).

Mr. P. reviews the Lesson 34 problem set, quiz, and challenge.

Lesson 35 Objective: we will apply the distributive property of multiplication.

Mr. P. reviews the Lesson 35 problem set, quiz, and challenge.

Lesson 36 Objective: we will solve division problems with remainders (array and area model).

Mr. P. reviews the Lesson 36 problem set, quiz, and challenge.

Lesson 37 Objective: we will divide 2-digit whole numbers by 1-digit whole numbers (standard algorithm).

Mr. P. reviews the Lesson 37 problem set, quiz, and challenge.

Lesson 38 Objective: we will divide 3-digit whole numbers by 1-digit whole numbers (standard algorithm).

Mr. P. reviews the Lesson 38 problem set, quiz, and challenge.

Lesson 39 Objective: we will divide 4-digit whole numbers by 1-digit whole numbers (standard algorithm).

Mr. P. reviews the Lesson 39 problem set, quiz, and challenge.

Lesson 40 Objective: we will solve division word problems.

Mr. P. reviews the Lesson 40 problem set, quiz, and challenge.

Mr. P. introduces Unit 4.

Lesson 41 Objective: we will partition a variety of models in a variety of ways to show the unit fractions 1/2, 1/3, and 1/4.

Mr. P. reviews the Lesson 41 problem set, quiz, and challenge.

Lesson 42 Objective: we will decompose proper fractions into sums of unit fractions (number bond and bar model).

Mr. P. reviews the Lesson 42 problem set, quiz, and challenge.

Lesson 43: we will multiply unit fractions by whole numbers to build proper fractions.

Mr. P. reviews the Lesson 43 problem set, quiz, and challenge.

Lesson 44 Objective: we will identify equivalent fractions (bar model).

Mr. P. reviews the Lesson 44 problem set, quiz, and challenge.

Lesson 45 Objective: we will identify equivalent fractions with multiplication (Magic-1).

Mr. P. reviews the Lesson 45 problem set, quiz, and challenge.

Lesson 46 Objective: we will identify equivalent fractions with division (Magic-1).

Mr. P. reviews the Lesson 46 problem set, quiz, and challenge.

Lesson 47 Objective: we will express whole numbers as fractions and connect them to equivalent fractions.

Mr. P. reviews the Lesson 47 problem set, quiz, and challenge.

Lesson 48 Objective: we will compare proper fractions with like denominators (bar model).

Mr. P. reviews the Lesson 48 problem set, quiz, and challenge.

Lesson 49 Objective: we will compare proper and improper fractions with like denominators.

Mr. P. reviews the Lesson 49 problem set, quiz, and challenge.

Lesson 50 Objective: we will compare two fractions with the same numerator but unlike denominators (bar model).

Mr. P. reviews the Lesson 50 problem set, quiz, and challenge.

Lesson 51 Objective: we will add fractions with like denominators.

Mr. P. reviews the Lesson 51 problem set, quiz, and challenge.

Lesson 52 Objective: we will subtract fractions with like denominators.

Mr. P. reviews the Lesson 52 problem set, quiz, and challenge.

Lesson 53 Objective: we will convert improper fractions into mixed numbers (number bond).

Mr. P. reviews the Lesson 53 problem set, quiz, and challenge.

Lesson 54 Objective: we will solve fraction word problems (bar model and number line).

Mr. P. reviews the Lesson 54 problem set, quiz, and challenge.

Mr. P. introduces Unit 5.

Lesson 55 Objective: we will tell and write time within one hour (clock model and number line).

Mr. P. reviews the Lesson 55 problem set, quiz, and challenge.

Lesson 56 Objective: we will estimate liquid volumes and mass of objects using grams, kilograms, and liters.

Mr. P. reviews the Lesson 56 problem set, quiz, and challenge.

Lesson 57 Objective: we will solve word problems involving masses or volumes with the same units.

Mr. P. reviews the Lesson 57 problem set, quiz, and challenge.

Lesson 58 Objective: we will interpret scaled picture graphs that represent data sets with several categories.

Mr. P. reviews the Lesson 58 problem set, quiz, and challenge.

Lesson 59 Objective: we will solve word problems using information presented in scaled picture graphs.

Mr. P. reviews the Lesson 59 problem set, quiz, and challenge.

Lesson 60 Objective: we will measure everyday objects using rulers marked with halves and fourths of an inch.

Mr. P. reviews the Lesson 60 problem set, quiz, and challenge.

Lesson 61 Objective: we will display ruler measurements in line plots.

Mr. P. reviews the Lesson 61 problem set, quiz, and challenge.

Mr. introduces Unit 6.

Lesson 62 Objective: we will calculate the perimeter of triangles.

Mr. P. reviews the Lesson 62 problem set, quiz, and challenge.

Lesson 63 Objective: we will calculate the perimeter of quadrilaterals.

Mr. P. reviews the Lesson 63 problem set, quiz, and challenge.

Lesson 64 Objective: we will solve for an unknown side length when given the perimeter of triangles and quadrilaterals.

Mr. P. reviews the Lesson 64 problem set, quiz, and challenge.

Lesson 65 Objective: we will discover all the possible rectangles with a given perimeter.

Mr. P. reviews the Lesson 65 problem set, quiz, and challenge.

Lesson 66 Objective: we will discover all the possible rectangles with a given area.

Mr. P. reviews the Lesson 66 problem set, quiz, and challenge.

Lesson 67 Objective: we will express area as additive (area model).

Lesson 67 Objective: we will express area as additive (area model).

Lesson 68 Objective: we will identify acute, right, and obtuse angles.

Mr. P. reviews the Lesson 68 problem set, quiz, and challenge.

Lesson 69 Objective: we will recognize rhombuses, rectangles, and squares as examples of quadrilaterals.

Mr. P. reviews the Lesson 69 problem set, quiz, and challenge.

Lesson 70 Objective: we will draw examples of quadrilaterals that do not belong to the following sub-categories: rhombus, rectangle, square.

Mr. P. reviews the Lesson 70 problem set, quiz, and challenge.

**Course Description**

- Informed by the Common Core State Standards for Mathematical Practice, this comprehensive 3
^{rd}grade math course features 70 lessons that emphasize critical analysis over rote computation. We’ll draw and make sense of models, analyze patterns, and explore a variety of non-standard algorithms to develop the number sense necessary for higher level math. This application-driven approach will arm your student with the skill-set necessary to independently tackle new concepts and confidently solve unfamiliar problems.

**This course includes:**

- 6 units
- 70 student packets
- 70 video-lessons
- 70 exercise review videos (Mr. P. reviews each problem step-by-step)
- approximately 18 hours of video-lessons
- a 2-question review at the start of each lesson
- “fast facts” fluency practice at the start of each lesson
- vocabulary words and definitions for each lesson
- a challenge question for each lesson
- a unit review sheet for each unit

**Course Goals:**

- This course explores a variety of models and non-standard algorithms designed to bolster conceptual understanding and strengthen number sense.

**Target Audience:**

- This video course is primarily intended for 7 – 10-year-olds from all education settings. It can function effectively both as a primary or supplemental curriculum.

**Course Requirements:**

- Students taking this course will need to have completed a 2
^{nd}grade math course or its equivalent.

**Course Topics:**

**Unit 1 – Place Value and Rounding (10 lessons)**

Lesson 1 – We will identify the place values to the millions place (place value chart).

Lesson 2 – We will analyze how a digit’s placement in a number affects its value (place value chart).

Lesson 3 – We will express whole numbers to the ten thousands place in standard, written, and expanded forms.

Lesson 4 – We will bundle units into tens and move them to the next greatest place value (place value chart).

Lesson 5 – We will recognize that a digit represents ten times more than in the place value to its right (place value chart).

Lesson 6 – We will compare whole numbers to the millions place (stacking).

Lesson 7 – We will determine which two tens, hundreds, and thousands a given

whole number falls between (horizontal number line).

Lesson 8 – We will round whole numbers to the thousands place (horizontal number line).

Lesson 9 – We will round whole numbers to the thousands place (vertical number line).

Lesson 10 – We will use our understanding of rounding to assess the reasonableness of given whole numbers.

**Unit 2 – Addition and Subtraction (8 lessons)**

Lesson 11 – We will find 1, 10 and 100 more and less than a given whole number.

Lesson 12 – We will find half of even whole numbers and double even whole numbers.

Lesson 13 – We will add and subtract single-digit whole numbers across zero (number line).

Lesson 14 – We will add and subtract whole numbers to the hundreds place (Dutch algorithm).

Lesson 15 – We will add and subtract whole numbers to the thousands place (Dutch algorithm).

Lesson 16 – We will solve one-step addition word problems.

Lesson 17 – We will solve one-step subtraction word problems (draw base-10 blocks).

Lesson 18 – We will solve two-step addition and subtraction word problems.

**Unit 3 – Multiplication and Division (22 lessons)**

Lesson 19 – We will list a whole number’s multiples both vertically and horizontally.

Lesson 20 – We will calculate the area of squares and rectangles (tile).

Lesson 21 – We will identify the correct equations for multiplicative comparisons when the greater value is unknown (bar model).

Lesson 22 – We will identify the correct scenarios for multiplicative comparisons when the greater value is unknown (bar model).

Lesson 23 – We will understand division as an unknown factor problem (fact family).

Lesson 24 – We will identify the correct equations for multiplicative comparisons when the lesser value is unknown (bar model).

Lesson 25 – We will identify the correct scenarios for multiplicative comparisons when the lesser value is unknown (bar model).

Lesson 26 – We will determine how many times more a greater value is than a lesser value (bar model).

Lesson 27 – We will determine how many times less a lesser value is than a greater value (bar model).

Lesson 28 – We will find all factor pairs for a whole number in the range 1 – 100.

Lesson 29 – We will determine whether a whole number in the range 1 – 100 is a factor of another whole number (factor rainbow).

Lesson 30 – We will determine whether a whole number in the range 1 – 100 is prime or composite (factor tree).

Lesson 31 – We will multiply single-digit whole numbers by 10, 100, and 1,000 and recognize patterns.

Lesson 32 – We will multiply 2-digit whole numbers by 1-digit whole numbers (area model).

Lesson 33 – We will multiply 3-digit whole numbers by 1-digit whole numbers (area model).

Lesson 34 – We will multiple 2-digit and 3-digit whole numbers by 2-digit whole numbers (area model).

Lesson 35 – We will apply the distributive property of multiplication.

Lesson 36 – We will solve division problems with remainders (array and area model).

Lesson 37 – We will divide 2-digit whole numbers by 1-digit whole numbers (standard algorithm).

Lesson 38 – We will divide 3-digit whole numbers by 1-digit whole numbers (standard algorithm).

Lesson 39 – We will divide 4-digit whole numbers by 1-digit whole numbers (standard algorithm).

Lesson 40 – We will solve division word problems.

** **

**Unit 4 – Fractions (14 lessons)**

Lesson 41 – We will partition a variety of models in a variety of ways to show the unit fractions 1/2, 1/3, and 1/4.

Lesson 42 – We will decompose proper fractions into sums of unit fractions (number bond and bar model).

Lesson 43 – We will multiply unit fractions by whole numbers to build fractions.

Lesson 44 – We will identify equivalent fractions (bar model).

Lesson 45 – We will identify equivalent fractions with multiplication (Magic-1).

Lesson 46 – We will identify equivalent fractions with division (Magic-1).

Lesson 47 – We will express whole numbers as fractions and fractions as whole numbers.

Lesson 48 – We will compare proper fractions with like denominators (bar model).

Lesson 49 – We will compare proper and improper fractions with like denominators.

Lesson 50 – We will compare two fractions with like numerators but unlike denominators (bar model).

Lesson 51 – We will add fractions with like denominators.

Lesson 52 – We will subtract fractions with like denominators.

Lesson 53 – We will convert improper fractions into mixed numbers (number bond).

Lesson 54 – We will solve fraction word problems (bar model and number line).

**Unit 5 – Time and Measurement (7 lessons)**

Lesson 55 – We will calculate times within one hour (clock model and number line).

Lesson 56 – We will estimate liquid volumes and mass of objects using grams, kilograms, and liters.

Lesson 57 – We will solve a variety of word problems involving masses and volumes with like units.

Lesson 58 – We will interpret scaled picture graphs/pictographs.

Lesson 59 – We will solve word problems with information from scaled picture graphs/pictographs.

Lesson 60 – We will measure everyday objects using rulers marked with halves and fourths of an inch.

Lesson 61 – We will display ruler measurements in line plots.

**Unit 6 – Geometry (9 lessons)**

Lesson 62 – We will calculate the perimeter of triangles.

Lesson 63 – We will calculate the perimeter of quadrilaterals.

Lesson 64 – We will solve for an unknown side length when given the perimeter of triangles and quadrilaterals.

Lesson 65 – We will discover all the possible rectangles with a given perimeter.

Lesson 66 – We will discover all the possible rectangles with a given area.

Lesson 67 – We will express area as additive (area model).

Lesson 68 – We will identify acute, right, and obtuse angles.

Lesson 69 – We will recognize rhombuses, rectangles, and squares as examples of quadrilaterals.

Lesson 70 – We will draw examples of quadrilaterals that do not belong to the following sub-categories: rhombus, rectangle, square.

- Teacher: Tom
- Areas of expertise: 3rd - 5th grade math
- Education: Georgetown University
- Interests: Books, sports, travel, film
- Skills:
- Associations: Teach For America
- Issues I care about: Education, current events

Born and raised in Kansas City. After graduating from Georgetown University, I joined the Teach For America program in Los Angeles. For the last seven years I've taught 3rd - 5th grade math and ELA to students in Los Angeles and New York City. My application-driven lessons will arm your student with the skill-set necessary to independently tackle new concepts and confidently solve unfamiliar problems.

A front and back one-sheet that reviews the content from Unit 1.

A front and back one-sheet that reviews the content from Unit 2.

A front and back one-sheet that reviews the content from Unit 3.

A front and back one-sheet that reviews the content from Unit 4.

A front and back one-sheet that reviews the content from Unit 5.

A front and back one-sheet that reviews the content from Unit 6.