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Mathematical Thinking 5A: 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 5A in the Singapore Math curriculum (Dimensions Math), gaining skills in problem-solving, mental math, and math concepts.
Class Experience
US Grade 4 - 6
Intermediate - Advanced Level
Follows Singapore Dimensions Math Curriculum
I believe success in math depends on a child's ability to not only understand numerical concepts, but to be able to apply those strategies to problems by using mathematical thinking. My approach in this class is to give students the tools they need to be able to solve problems, and then allow them to experiment, fail, and try again until they get the answer. Throughout the year, we work on developing strategies, understanding relationships, and building confidence. As I tell my students,...
8 units//36 lessons//18 Weeks
Unit 1Chapter 1: Whole NumbersChapter 1: Whole Numbers2 lessons1 WeekWeek 1Lesson 1Big NumbersStudents learn names for really big numbers. Then they play Race to a Billion to practice adding and subtracting with really big numbers.Lesson 2Mental MathStudents look for patterns when they multiply and divide numbers by 10, 100, and 1,000. They play Mental Math Duel to practice.Unit 2Chapter 2: Writing & Evaluating ExpressionsChapter 2: Writing & Evaluating Expressions4 lessons2 WeeksWeek 2Lesson 3Order of OperationsStudents are introduced to the order of operations. They play Shaded Dots and Build It to practice.Lesson 4Order of OperationsStudents continue practicing order of operations with the game Build It.Week 3Lesson 5Expressions & EquationsStudents learn the difference between and expression and equation. They play Make 24 to practice writing equations.Lesson 6Expressions & EquationsStudents play Build It or Make 24 to continue practicing skills.Unit 3Chapter 3: Multiplication & DivisionChapter 3: Multiplication & Division6 lessons3 WeeksWeek 4Lesson 7Long MultiplicationStudents review long multiplication by both 1- and 2-digit numbers. They play Greatest Product to practice.Lesson 8Long MultiplicationStudents continue to practice with the game Greatest Product.Week 5Lesson 9Dividing by TensStudents review long division and look for patterns when dividing by a ten (10, 20, 30, etc.) They play Divvy Up to practice.Lesson 10Dividing by TensStudents continue to practice with the game Divvy Up.Week 6Lesson 112-digit DivisorsStudents learn how to divide with a 2-digit divisor. They play Spin It to practice.Lesson 122-digit DivisorsStudents continue to practice with the game Spin It.Unit 4Chapter 4: Addition & Subtraction of FractionsChapter 4: Addition & Subtraction of Fractions6 lessons3 WeeksWeek 7Lesson 13Adding Unlike FractionsStudents review equivalent fractions and adding unlike fractions. They play Yohaku to practice.Lesson 14Subtracting Unlike FractionsStudents review subtracting unlike fractions. They play Make Your Own Fractions to practice.Week 8Lesson 15Adding Mixed FractionsStudents review adding mixed fractions. They play Closest to 7 to practice.Lesson 16Adding Mixed FractionsStudents continue practicing adding mixed fractions with Closest to 7.Week 9Lesson 17Subtracting Mixed FractionsStudents review subtracting mixed fractions. They play Closest to 1 to practice.Lesson 18Subtracting Mixed FractionsStudents continue practicing subtracting mixed fractions with Closest to 1.Unit 5Chapter 5: Multiplication of FractionsChapter 5: Multiplication of Fractions6 lessons3 WeeksWeek 10Lesson 19Multiplying Fractions and Whole NumbersStudents review multiplying fractions and whole numbers. They practice with the game Greatest Product.Lesson 20Multiplying Fractions and Whole NumbersStudents continue practicing multiplying fractions with Making 24 Bingo.Week 11Lesson 21Multiplying Fractions and Unit FractionsStudents build models of multiplying fractions with fractions. Then they play I Have, Who Has? to practice.Lesson 22Multiplying Fractions and Unit FractionsStudents continue I Have, Who Has? They learn how to simplify fractions before multiplying, and then play Greatest Product to practice.Week 12Lesson 23RecipricolsStudents are introduced to the concept of reciprocals. They play Greatest Product to practice.Lesson 24Multiplying FractionsStudents play Greatest Product or I Have, Who Has? to continue practicing multiplying fractions.Unit 6Chapter 6: Division of FractionsChapter 6: Division of Fractions4 lessons2 WeeksWeek 13Lesson 25Intro to Dividing FractionsStudents are introduced to this abstract concept with a Visual Division of Fractions activity. Then they play Fractions Three In a Row to practice dividing fractions.Lesson 26Dividing FractionsStudents continue practicing dividing fractions with Fractions Three in a Row.Week 14Lesson 27PracticeStudents play Quick Quotients to continue work with division of fractions.Lesson 28PracticeStudents play Quick Quotients to continue work with division of fractions.Unit 7Chapter 7: MeasurementChapter 7: Measurement4 lessons2 WeeksWeek 15Lesson 29Measurement ConversionsStudents review common measurement conversions, and then play Measurement Bingo to practice.Lesson 30PracticeStudents use a measuring tape and graph paper to measure and re-design their rooms, using measurement conversion along the way.Week 16Lesson 31Area of TrianglesStudents build the area of a triangle to figure out the formula. Then they practice with Triangle Challenges.Lesson 32Area of Complex FiguresStudents work together to figure out the areas of complex figures with Complex Figure Challenges.Unit 8Chapter 8: Volume of Solid FiguresChapter 8: Volume of Solid Figures4 lessons2 WeeksWeek 17Lesson 33Volume IntroStudents use virtual blocks to build a formula for the volume of cuboids. They practice with Volume Challenges.Lesson 34Missing EdgesStudents use the formula they figured out in Lesson 33 to find missing edge lengths. Then they practice with Missing Edges Challenges.Week 18Lesson 35Volume of Complex ShapesStudents learn how to find the volume of complex shapes and practice with more Volume Challenges.Lesson 36Using Water for VolumeStudents try to measure the volume of irregularly-shaped rocks by using the known volume of water.
- Upon completion of this class, students should be able to: -Understand expressions and the order of operations -Divide by 2-digit numbers -Add, subtract, multiply, and divide fractions with fluency
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.
1 - 2 hours per week outside of class
Homework
Frequency: Available upon requestFeedback: Available upon requestDetails: 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.Assessment
Frequency: Available upon requestDetails: 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.
Students enrolling in this class should: -Have all multiplication facts memorized -Fluently add, subtract, multiply, and divide, including long multiplication and long division -Be able to add, subtract, and multiply mixed 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 5A Workbook, available here for about $14: https://www.singaporemath.com/collections/dimensions-math-pk-5/products/dimensions-math-workbook-5a?variant=40979858227389 10-sided dice, available here for about $9: https://amzn.to/3wI7Wv5 OPTIONAL MATERIALS: -Dimensions Home Instructor's Guide 5A (If you would like the answer keys to check your student's work) $22: https://www.singaporemath.com/collections/dimensions-math-pk-5/products/dimensions-math-home-instructors-guide-5a
Dimensions Math: https://www.singaporemath.com/pages/dimensions-math-pk-5-for-schools
Joined April, 2020
4.9
223reviews
Teacher expertise and credentials
2 Teaching Certificates
Colorado Teaching Certificate in Elementary Education
Colorado Teaching Certificate 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. In 2016, I founded and ran a microschool for 3 years,...
Group Class
$44
weekly or $775 for 36 classes2x per week, 18 weeks
45 min
Completed by 11 learners
Live video meetings
Ages: 9-11
3-6 learners per class
