English

### Mathematical Thinking 4A: A Singapore Math Curriculum (Dimensions Math)

Kim Musolff
Average rating:
4.9
Number of reviews:
(223)
In this semester-long course, students learn to think mathematically as they progress through level 4A in the Singapore Math curriculum (Dimensions Math), gaining skills in problem-solving, mental math, and math concepts.

#### Class Experience

###### Follows Singapore Dimensions Math Curriculum
9 units//36 lessons//18 Weeks
`.css-8atqhb{width:100%;}.css-9tf9ac{margin-bottom:1em;}.css-7yk5b4{padding:16px;border-radius:16px;background-color:#F7F7F7;margin-bottom:16px;}.css-1py0ztu{display:grid;grid-gap:0;grid-template-columns:96px 1fr 195px;padding-left:16px;padding-right:8px;margin-bottom:16px;}@media (max-width:767.95px){.css-1py0ztu{grid-template-columns:96px 1fr;}}.css-r0s4vb{margin:0;font-family:Ginto Normal,sans-serif;font-size:1.2rem;line-height:2rem;font-weight:500;letter-spacing:0.1rem;text-transform:uppercase;color:#7b2169;font-weight:700;}Unit 1.css-1kilzem{margin:0;font-family:Ginto Normal,sans-serif;font-size:1.6rem;line-height:1.5;font-weight:400;letter-spacing:0;text-transform:none;color:#1A1a1a;padding-left:16px;padding-right:16px;line-height:24px;font-weight:700;}@media (max-width:767.95px){.css-1kilzem{display:none;}}Chapter 1:  Numbers to One Million.css-23saea{padding-left:16px;line-height:1em;text-align:right;}@media (max-width:767.95px){.css-23saea{width:100%;}}.css-zjrce1{margin:0;font-family:Ginto Normal,sans-serif;font-size:1.2rem;line-height:2rem;font-weight:500;letter-spacing:0.1rem;text-transform:uppercase;color:#004a77;margin-right:8px;font-weight:700;}4 lessons.css-1p5vpqy{margin:0;font-family:Ginto Normal,sans-serif;font-size:1.2rem;line-height:2rem;font-weight:500;letter-spacing:0.1rem;text-transform:none;color:#5C5C5C;font-weight:700;}.css-1neeyhn{-webkit-user-select:none;-moz-user-select:none;-ms-user-select:none;user-select:none;width:1em;height:1em;display:inline-block;fill:currentColor;-webkit-flex-shrink:0;-ms-flex-negative:0;flex-shrink:0;-webkit-transition:fill 200ms cubic-bezier(0.4, 0, 0.2, 1) 0ms;transition:fill 200ms cubic-bezier(0.4, 0, 0.2, 1) 0ms;font-size:inherit;vertical-align:-0.125em;text-transform:uppercase;margin-right:5px;}2 Weeks.css-ddr7uv{margin:0;font-family:Ginto Normal,sans-serif;font-size:1.2rem;line-height:2rem;font-weight:500;letter-spacing:0.1rem;display:none;font-weight:700;}@media (max-width:767.95px){.css-ddr7uv{display:inherit;color:#1A1a1a;padding-left:16px;padding-right:16px;font-size:16px;}}Chapter 1:  Numbers to One Million.css-1eswbhu{padding:16px;border-radius:16px;background-color:white;margin-top:16px;}.css-g8s3lw{display:grid;grid-gap:0;grid-template-columns:96px 1fr;margin-top:0rem;} .css-1ak6lo7{margin:0;font-family:Ginto Normal,sans-serif;font-size:1.2rem;line-height:2rem;font-weight:500;letter-spacing:0.1rem;text-transform:uppercase;border-bottom:1px solid;border-color:#E0E0E0;color:#5C5C5C;padding:0 0 5px 16px;}@media (max-width:767.95px){.css-1ak6lo7{padding:0 0 5px 8px;}}Week 1.css-199df33{display:grid;grid-template-columns:96px 1fr 40px;grid-gap:16px;padding-top:8px;}@media (max-width:767.95px){.css-199df33{grid-template-columns:96px 1fr 28px;grid-gap:8px;}}.css-12h69r9{margin:0;font-family:Ginto Normal,sans-serif;font-size:1.2rem;line-height:2rem;font-weight:500;letter-spacing:0.1rem;text-transform:uppercase;color:#004a77;line-height:24px;font-weight:700;}Lesson 1.css-t78n9j{color:#1A1a1a;}Reading Large Numbers.css-kf9gkg{color:#5C5C5C;margin-top:12px;height:0;display:none;}Students look at place value past 10,000 and learn how to use commas to read large numbers.  They play Pico, Fermi, Bagel to practice writing and reading large numbers. .css-1ngtilx{cursor:pointer;padding:0 4px;}.css-v481rw{-webkit-user-select:none;-moz-user-select:none;-ms-user-select:none;user-select:none;width:1em;height:1em;display:inline-block;fill:currentColor;-webkit-flex-shrink:0;-ms-flex-negative:0;flex-shrink:0;-webkit-transition:fill 200ms cubic-bezier(0.4, 0, 0.2, 1) 0ms;transition:fill 200ms cubic-bezier(0.4, 0, 0.2, 1) 0ms;font-size:inherit;vertical-align:-0.125em;height:24px;}Lesson 2Large Number Place ValueStudents play What's My Rule and Greatest or Least to practice manipulating place value of large numbers.   Week 2Lesson 3Rounding NumbersStudents play Greatest or Least Rounding to practice rounding to different places.  Lesson 4Rounding NumbersStudents play Greatest or Least Rounding to practice rounding to different places.  Unit 2Chapter 2: Addition & Subtraction2 lessons1 WeekChapter 2: Addition & Subtraction Week 3Lesson 5AdditionStudents play a game called Sums to 1,000,000 to practice accuracy in adding 6-digit numbers. Lesson 6SubtractionStudents play a game called Differences Within 1,000,000 to practice accuracy in subtracting 6-digit numbers. Unit 3Chapter 3: Multiples and Factors4 lessons2 WeeksChapter 3: Multiples and Factors Week 4Lesson 7Finding MultiplesStudents learn what a multiple is, and learns rules of thumb for finding out if a number is a multiple of 2, 3, 4, 5, 6, and 10.  They play 5 in a Row to practice finding multiples of these numbers. Lesson 8Common MultiplesStudents learn what a common multiple is and to find common multiples of numbers.  They play 5 in a Row to practice.   Week 5Lesson 9Finding FactorsStudents learn what a factor is, and how it's related to multiples.  Then they play Shut the Box Factors to practice finding factors. Lesson 10Finding FactorsStudents learn how to make sure they've found all the factors of a number.  Then they play The Factor Game to practice. Unit 4Chapter 4: Multiplication4 lessons2 WeeksChapter 4: Multiplication Week 6Lesson 11Long MultiplicationStudents review long Multiplication.  They play Mental Math Duel to see what happens when you multiply by 10, 100, and 1,000.  Lesson 12Long MultiplicationStudents play Greatest Product to practice multiplying 4-digit by 1-digit numbers.   Week 7Lesson 132-digit MultiplicationStudents learn how to multiply by a 2-digit number.  They play Greatest Product to practice.  Lesson 142-digit MultiplicationStudents continue practicing multiplying by 2-digit numbers in the game Greatest Product.  Unit 5Chapter 5: Division4 lessons2 WeeksChapter 5: Division Week 8Lesson 15Long Division Students review long division and play Divvy Up to practice dividing 3-digit numbers by 6, 7, 8, and 9. Lesson 16Long Division Students practice dividing 4-digit numbers by 6, 7, 8, and 9. Week 9Lesson 17Long DivisionStudents practice long division by playing Greatest Quotient. Lesson 18Long DivisionStudents practice long division by playing Greatest Quotient. Unit 6Chapter 6: Fractions4 lessons2 WeeksChapter 6: Fractions Week 10Lesson 19Fraction ReviewStudents review that a fraction is an equal part of a whole. They play Fraction Battle as a recap of the terms "numerator" and "denominator." Lesson 20Comparing FractionsStudents learn to use both reason and equivalent fractions to compare fractions in the game Team Fractions.   Week 11Lesson 21Mixed Numbers & Improper FractionsStudents learn about mixed numbers and improper fractions.  They play Mixed Number Bingo to practice converting from one form to the other.  Lesson 22Mixed Numbers & Improper FractionsStudents continue practicing converting mixed fractions and improper fractions in Mixed Number Bingo. Unit 7Chapter 7:  Adding & Subtracting Fractions4 lessons2 WeeksChapter 7:  Adding & Subtracting Fractions Week 12Lesson 23Adding and Subtracting Fractions Students play Team Fractions to review adding and subtracting fractions with unlike denominators.   Lesson 24Adding Mixed NumbersStudents learn to add mixed numbers and play a game called Pick Two to practice.   Week 13Lesson 25Subtracting Mixed NumbersStudents learn to subtract mixed numbers and play Pick Two to practice.  Lesson 26Adding and Subtracting Mixed NumbersStudents play Closest to 5 to practice adding or subtracting mixed numbers.  Unit 8Chapter 8:  Multiplying Fractions & Whole Numbers6 lessons3 WeeksChapter 8:  Multiplying Fractions & Whole Numbers Week 14Lesson 27Intro to Multiplying FractionsStudents learn to multiply fractions using fraction tiles.  Then they play Greatest Product: Fractions to practice multiplying a fraction with a mixed number.  Lesson 28Simplifying FractionsStudents learn how simplifying before multiplication can make the problem easier to solve.  They play Fraction 24 to practice.   Week 15Lesson 29Fraction of a SetStudents learn how to find a fraction of a set. They play Fraction Toss to practice.  Lesson 30Fraction OF a NumberStudents learn how to find a fraction of a number and how that's related to multiplication.  They play Fraction 24 Bingo to practice.   Week 16Lesson 31PracticeStudents work together to complete a Fraction Domino puzzle, practicing multiplying fractions. Lesson 32PracticeStudents continue to work on their Fraction Domino puzzle to practice multiplying fractions. Unit 9Chapter 9: Line Graphs & Line Plots4 lessons2 WeeksChapter 9: Line Graphs & Line Plots Week 17Lesson 33Line PlotsStudents are introduced to line plots and work together to create a Foot Length line plot.  Lesson 34Line GraphsStudents are introduced to line graphs and work together to create a line graph of height.   Week 18Lesson 35Line GraphsStudents review line graphs and work together to design a line graph survey.  Lesson 36Line GraphsStudents bring collected data and create a line graph. `
```At the end of the semester, your student will be able to:

-Add/Subtract 5- and 6-digit numbers
-Understand factors and multiples
-Add, subtract, and multiply fractions
```
`I am a certified elementary teacher who has been teaching hands-on math to young children for over 25 years.  I have taught in a variety of settings, including public school, private school, and homeschool environments.  I have been teaching Math on Outschool for over 4 years.  `
`.css-itpm5d{display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;margin-bottom:0.5em;margin-left:2px;}.css-1jafuj7{-webkit-user-select:none;-moz-user-select:none;-ms-user-select:none;user-select:none;width:1em;height:1em;display:inline-block;fill:currentColor;-webkit-flex-shrink:0;-ms-flex-negative:0;flex-shrink:0;-webkit-transition:fill 200ms cubic-bezier(0.4, 0, 0.2, 1) 0ms;transition:fill 200ms cubic-bezier(0.4, 0, 0.2, 1) 0ms;font-size:inherit;vertical-align:-0.125em;margin-right:0.5em;margin-top:0.2em;color:#5C5C5C;}.css-1757vrz{margin:0;font-family:Ginto Normal,sans-serif;font-size:1.6rem;line-height:1.3;font-weight:500;letter-spacing:0.01rem;color:#5C5C5C;}1 - 2 hours per week outside of class.css-1il00e6{display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;gap:1em;-webkit-flex-direction:column;-ms-flex-direction:column;flex-direction:column;}.css-k008qs{display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;}.css-1do1xce{-webkit-user-select:none;-moz-user-select:none;-ms-user-select:none;user-select:none;width:1em;height:1em;display:inline-block;fill:currentColor;-webkit-flex-shrink:0;-ms-flex-negative:0;flex-shrink:0;-webkit-transition:fill 200ms cubic-bezier(0.4, 0, 0.2, 1) 0ms;transition:fill 200ms cubic-bezier(0.4, 0, 0.2, 1) 0ms;font-size:inherit;vertical-align:-0.125em;text-align:center;width:1.25em;color:#368139;margin-right:0.5em;margin-top:0.2em;}.css-4j7l6r{margin:0;font-family:Ginto Normal,sans-serif;font-size:1.6rem;line-height:1.3;font-weight:500;letter-spacing:0.01rem;}Homework.css-l2z0vi{margin-top:0.5em;}.css-qg6uxs{margin:0;font-family:Ginto Normal,sans-serif;font-size:1.6rem;line-height:1.5;font-weight:400;letter-spacing:0;font-weight:700;}Frequency: 3-6 per weekFeedback: includedDetails: Students will be expected to complete 4-8 pages of homework each week.  Assignments will be posted in the Classroom on Mondays.  We DO NOT go over every problem of the homework, so if you'd like to check your student's work, you may want to purchase the Teacher's Guide.  We do have about 15 minutes each class to answer specific homework questions or to go over particularly difficult problems.  AssessmentFrequency: includedDetails: I am always informally assessing students in class and adjusting my teaching accordingly.  Throughout the activities, we discuss our thinking and our strategies for approaching problems.  Upon request, I will provide a written evaluation for your student. `
```In order to succeed in this class, students should have the following pre-requisites:
-Memorized most math facts
-Can multiply 2-digit by 1-digit numbers
-Has been introduced to fractions```
```I will provide downloadable activity supplies (number cards, recording sheets, etc.) if they are needed for the week's games.  Many of the games require paper/pencil, index cards and dice, so having those on hand will be helpful.

HIGHLY RECOMMENDED MATERIALS:
Dimensions 4A Workbook, available here for about \$14:
https://www.singaporemath.com/collections/dimensions-math-pk-5/products/dimensions-math-workbook-4a?variant=40979857965245

OPTIONAL MATERIALS:
We will be using mostly virtual manipulatives, but the following can be useful for those who struggle with new concepts:

Place Value Discs (at least 10 hundreds, 20 tens, and 30 ones, available here for \$10:
https://www.amazon.com/Learning-Resources-Place-Value-LER5215/dp/B01MQXYVRC
(USED ONLY FOR MULTIPLICATION & DIVISION CHAPTERS)

Fraction Manipulatives, available here for about \$18.  You can also purchase just the bars or just the circles.
https://www.amazon.com/BMAG-Magnetic-Educational-Manipulatives-Elementary/dp/B085RK9C7Z/
(USED ONLY FOR FRACTION CHAPTERS)```
`.css-47miec{margin-top:0rem;}Dimensions Math: https://www.singaporemath.com/pages/dimensions-math-pk-5-for-schools`
Joined April, 2020
4.9
223reviews
Profile
##### Teacher expertise and credentials
###### Colorado Teaching Certificate.css-1x99zyk{margin:0;font-family:Ginto Normal,sans-serif;font-size:1.6rem;line-height:1.5;font-weight:400;letter-spacing:0;} in Elementary Education
`Hi! I'm a Colorado-certified elementary teacher and a veteran homeschool parent of 4 children.  For over 20 years, I've taught hundreds of children in grades PreK-8 in a variety of settings.  Today I teach homeschooled students on Outschool.  I... .css-1adpekj{font-size:1.6rem;font-weight:500;line-height:100%;}.css-1nkf8x8{position:relative;display:inline-block;font-family:'Ginto Normal',sans-serif;font-style:normal;font-weight:500;font-size:1.6rem;text-align:center;text-transform:none;height:auto;max-width:100%;white-space:nowrap;cursor:pointer;-webkit-user-select:none;-moz-user-select:none;-ms-user-select:none;user-select:none;outline:none;border:none;background:none;padding:0;-webkit-transition:all ease-in-out 0.05s,outline 0s,;transition:all ease-in-out 0.05s,outline 0s,;line-height:1;color:#380596;font-size:1.6rem;font-weight:500;line-height:100%;}.css-1nkf8x8:hover:not(:disabled),.css-1nkf8x8:focus:not(:disabled){color:#380596;-webkit-text-decoration:underline;text-decoration:underline;}.css-1nkf8x8:active:not(:disabled){color:#380596;}.css-1nkf8x8:disabled{color:#C2C2C2;cursor:default;}.css-1nkf8x8:focus-visible{outline-width:2px;outline-style:solid;outline-color:#4B01D4;outline-offset:2px;}`

#### \$44

weekly or \$775 for 36 classes
2x per week, 18 weeks
45 min

Completed by 20 learners
Live video meetings
Ages: 8-10
3-6 learners per class