四年級數學套裝（第 4 部分，共 4 部分：全年掌握數學方法）

This session is part of a larger series titled, “4th Grade Math Bundle: Full Year of Integrated Mastery Method Math for 8-11 yrs”.  Taken as a whole, this course will offer a full year's worth of math at the general 4th grade level--focusing on gaining a deep understanding of the concept and application of division,  building mastery and fluency of the basic division facts, as well as “long” division. Basic geometry, place value, finding the average,  Money, measurement, basic geometry,  place value and their connection to multiplication will also be covered. Additionally, this class will connect these math concepts to topics and themes from Language Arts, Social Studies and Science to form an even broader and deeper interdisciplinary understanding. 

This is a Mastery approach to math--each concept will be discovered, explored and practiced in a meaningful, in-depth way to achieve full understanding before moving on and connecting to the next topic. This approach is ideal both for students who love math and want to take a deep dive into each concept, as well as anxious math learners who get easily overwhelmed by jumping quickly between concepts and prefer to take their time to fully learn and understand each concept. In both cases, the mastery method can build confidence, create a positive math identity and set students on a trajectory of math success. Because of the small size of this class, I will be able to give each student the individual attention needed to ensure mastery. This course is geared towards the 4th grade student, but because the mastery method builds on previously internalized concepts and skills, specific age or assigned grade level is not as important as the prerequisite foundations of mathematical understanding, along with the maturity to handle online class and games.

**Specifically for this class, students should come with a solid number sense for whole numbers: adding, subtracting,  multiplying and dividing single and multi-digit numbers.  If you have questions about your learner’s placement level, please contact me. 

In this fourth 8-week session, we will continue practicing long division (My students learn that it's really not that bad, and can actually be pretty fun!). We will continue to use our rounding and estimation skills to make sure our answers make sense, and apply division to other real-world situations, such as money, time, and of course fractions! We will also cover important topics in geometric measurement, reviewing area and introducing volume. We'll round out the year learning Roman numerals!  Each week we will cover one topic over two days, starting with a visual, interactive introduction of the math concept using real world math connections, followed by guided, group and individual practice of the introduced math concept/skill. Review work, including previously mastered math concepts such as multi-digit addition, subtraction, and multiplication will be woven into our class routines so that understanding stays fresh and further connections can be made. (See below for the full weekly outline of topics).

I want my 4th graders to feel fully engaged in the learning process--to find meaning, confidence (and yes, even joy!) in mathematical problem solving. To make math fun and engaging, I will be presenting lessons through interactive slides, which will include clear visual representations, virtual manipulatives, and connections to math in the real world. Additionally, I will be using applications such as Nearpod (nearpod.com) to create further opportunities for students to engage with the math material and with one another. Activities will include collaborative idea boards, typed or drawn responses, polls, matching games, quizzes and embedded games. These activities provide not only engagement and fun for students, but also give me as the teacher the opportunity for ongoing, informal assessment in order to check for mastery of each math concept. Furthermore, the ability for me to share student answers anonymously can help those students who feel uncomfortable or anxious answering questions verbally.  


First Day of Class: Introductions, ice breakers, general math, practice using Jamboard, Nearpod, and Blooket
Week 1 (Lesson 24) :  Divide 4-digits by 2-digits
    Additional Topics and Review: Fractions (identifying and equivalent)
Week 2 (Lesson 25): Divide multiple digit by multiple digit
    Additional Topics and Review: Area (rectangles, triangles & trapezoids)
Week 3 (Lesson 26): Volume (cubes and rectangular prisms)   
    Additional Topics and Review: Identify 3D figures, vocabulary and nets
Week 4 (Lesson 27): Fraction of a number
     Additional Topics and Review: Fractions on a number line 
Week 5 (Lesson 28):  Roman Numerals (I, V, X, L, and C)
    Additional Topics and Review: Comparing fractions
Week 6 (Lesson 29): Fraction of One
     Additional Topics and Review: 
Week 7 (Lesson 30): Roman Numerals (D, M, multiples of 1,000)
     Additional Topics and Review: Decimal introduction through money
Week 8 (Unit 4 Review): Final Assessment
     Additional Topics and Review: Data and Graphing