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數學思維5A:新加坡數學課程(維度數學)

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Kim Musolff
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在這個為期一學期的課程中,學生在新加坡數學課程(Dimensions Math)的 5A 級課程中學習數學思維,並獲得解決問題、心算和數學概念的技能。
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課堂經歷

英語程度 - A2
美國等級 4 - 6
Intermediate - Advanced 等級
遵循 Singapore Dimensions Math 課程
8 units//36 lessons//18 Weeks
Unit 1Chapter 1: Whole Numbers
2 lessons1 Week
Chapter 1: Whole Numbers
 Week 1
Lesson 1
Big Numbers
Students learn names for really big numbers. Then they play Race to a Billion to practice adding and subtracting with really big numbers.
Lesson 2
Mental Math
Students 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 Expressions
4 lessons2 Weeks
Chapter 2: Writing & Evaluating Expressions
 Week 2
Lesson 3
Order of Operations
Students are introduced to the order of operations. They play Shaded Dots and Build It to practice.
Lesson 4
Order of Operations
Students continue practicing order of operations with the game Build It.
 Week 3
Lesson 5
Expressions & Equations
Students learn the difference between and expression and equation. They play Make 24 to practice writing equations.
Lesson 6
Expressions & Equations
Students play Build It or Make 24 to continue practicing skills.
Unit 3Chapter 3: Multiplication & Division
6 lessons3 Weeks
Chapter 3: Multiplication & Division
 Week 4
Lesson 7
Long Multiplication
Students review long multiplication by both 1- and 2-digit numbers. They play Greatest Product to practice.
Lesson 8
Long Multiplication
Students continue to practice with the game Greatest Product.
 Week 5
Lesson 9
Dividing by Tens
Students review long division and look for patterns when dividing by a ten (10, 20, 30, etc.) They play Divvy Up to practice.
Lesson 10
Dividing by Tens
Students continue to practice with the game Divvy Up.
 Week 6
Lesson 11
2-digit Divisors
Students learn how to divide with a 2-digit divisor. They play Spin It to practice.
Lesson 12
2-digit Divisors
Students continue to practice with the game Spin It.
Unit 4Chapter 4: Addition & Subtraction of Fractions
6 lessons3 Weeks
Chapter 4: Addition & Subtraction of Fractions
 Week 7
Lesson 13
Adding Unlike Fractions
Students review equivalent fractions and adding unlike fractions. They play Yohaku to practice.
Lesson 14
Subtracting Unlike Fractions
Students review subtracting unlike fractions. They play Make Your Own Fractions to practice.
 Week 8
Lesson 15
Adding Mixed Fractions
Students review adding mixed fractions. They play Closest to 7 to practice.
Lesson 16
Adding Mixed Fractions
Students continue practicing adding mixed fractions with Closest to 7.
 Week 9
Lesson 17
Subtracting Mixed Fractions
Students review subtracting mixed fractions. They play Closest to 1 to practice.
Lesson 18
Subtracting Mixed Fractions
Students continue practicing subtracting mixed fractions with Closest to 1.
Unit 5Chapter 5: Multiplication of Fractions
6 lessons3 Weeks
Chapter 5: Multiplication of Fractions
 Week 10
Lesson 19
Multiplying Fractions and Whole Numbers
Students review multiplying fractions and whole numbers. They practice with the game Greatest Product.
Lesson 20
Multiplying Fractions and Whole Numbers
Students continue practicing multiplying fractions with Making 24 Bingo.
 Week 11
Lesson 21
Multiplying Fractions and Unit Fractions
Students build models of multiplying fractions with fractions. Then they play I Have, Who Has? to practice.
Lesson 22
Multiplying Fractions and Unit Fractions
Students continue I Have, Who Has? They learn how to simplify fractions before multiplying, and then play Greatest Product to practice.
 Week 12
Lesson 23
Recipricols
Students are introduced to the concept of reciprocals. They play Greatest Product to practice.
Lesson 24
Multiplying Fractions
Students play Greatest Product or I Have, Who Has? to continue practicing multiplying fractions.
Unit 6Chapter 6: Division of Fractions
4 lessons2 Weeks
Chapter 6: Division of Fractions
 Week 13
Lesson 25
Intro to Dividing Fractions
Students 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 26
Dividing Fractions
Students continue practicing dividing fractions with Fractions Three in a Row.
 Week 14
Lesson 27
Practice
Students play Quick Quotients to continue work with division of fractions.
Lesson 28
Practice
Students play Quick Quotients to continue work with division of fractions.
Unit 7Chapter 7: Measurement
4 lessons2 Weeks
Chapter 7: Measurement
 Week 15
Lesson 29
Measurement Conversions
Students review common measurement conversions, and then play Measurement Bingo to practice.
Lesson 30
Practice
Students use a measuring tape and graph paper to measure and re-design their rooms, using measurement conversion along the way.
 Week 16
Lesson 31
Area of Triangles
Students build the area of a triangle to figure out the formula. Then they practice with Triangle Challenges.
Lesson 32
Area of Complex Figures
Students work together to figure out the areas of complex figures with Complex Figure Challenges.
Unit 8Chapter 8: Volume of Solid Figures
4 lessons2 Weeks
Chapter 8: Volume of Solid Figures
 Week 17
Lesson 33
Volume Intro
Students use virtual blocks to build a formula for the volume of cuboids. They practice with Volume Challenges.
Lesson 34
Missing Edges
Students use the formula they figured out in Lesson 33 to find missing edge lengths. Then they practice with Missing Edges Challenges.
 Week 18
Lesson 35
Volume of Complex Shapes
Students learn how to find the volume of complex shapes and practice with more Volume Challenges.
Lesson 36
Using Water for Volume
Students 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 每週課外時間
Homework
頻率: Available upon request
回饋: Available upon request
細節: 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
頻率: Available upon request
細節: 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
已加入 April, 2020
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每週或US$775 用於 36 課程
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