四年級數學：解決問題的方法

This nontraditional, hands-on and discovery based course is perfect for a home-school curriculum or to use as a review. 

Students will explore number relationships by doing hands-on activities, looking for patterns, and solving complex problems.

There are three primary goals of this course:
1. Students to develop flexible math thinking (the ability to see relationships and use those relationships to solve problems in a variety of ways) 
2. Students to gain confidence in their problem-solving abilities
3. Students to gain not just school knowledge but real-life critical thinking and problem-solving skills.

Due to the nature of this course, it is important for students to come to class with their cameras on and be ready for discussion. 

Each class will follow the following format: Warm Up Activity that works on developing mental math skills, and number flexibility, a hands on activity or a complex problem for students to work through together, a summation of the key idea for the day, and an exit question (they will submit their answer privately in the chat) 
I will use this exit question as an informal assessment of your learner’s progress. 

I keep detailed notes of each learner's progress for their time in my classes. A transcript will be sent with personalized information at the end of the semester. 

Please note: There will be an optional follow-up activity at the end of each week for you to use as homework. If students submit to me privately, I provide feedback. 


The course will follow the following schedule: 


Winter/Spring 2025
Week of January 6: Understanding Fractions
Week of January 13: Understanding Equivalence
Week of January 20: Finding Equivalent Fractions (4.NF.A)
Week of January 27: Comparing and Ordering Fractions (4.NF.A)
Week of February 3: Working with Equal Groups of Fractions (4.NF.A, 4.NF.B)
Week of February 10: Patterns in Fractions and Equal Groups of Non Unit Fractions (4.NF.A, 4.NF.B)
Week of February 17: Equivalent Expressions and Problem Solving (4.NF.A, 4.NF.B)
Week of February 24: Fractions as Sums and Adding Fractions (4.NF.A, 4.NF.B)
Week of March 3: Differences/Subtraction of Fractions (4.NF.A, 4.NF.B)
Week of March 10: Addition and Subtraction of Fractions and Problem Solving (4.NF.A, 4.NF.B, 4.MD.B)
Week of March 17: No Class 
Week of March 24: Line Plots and Measurements with Fractions (4.NF.A, 4.NF.B, 4.MD.B)
Week of March 31: Understanding and Reasoning with Tenths and Hundredths (4.NF.C)
Week of April 7: Understand Decimals (4.NF.C)
Week of April 14: Decimals on a Number Line (4.NF.C) and Compare/Order Decimals  (4.NF.C)
Week of April 21 Points, Lines, Segments, and Angles (4.MD.C, 4.G.A)
Week of April 28: The size of angles, measuring and reasoning  (4.MD.C, 4.G.A)
Week of May 5: Attributes and Symmetry  (4.MD.C, 4.G.A)
Week of May 12: Reasoning to solve Geometric Problems  (4.MD.C, 4.G.A)