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中學數學、邏輯與問題解決:方程式與表達式

這門為期五週的課程是一系列旨在支援神經發散學習者的數學課程的一部分。它包括對先前主題的回顧和擴展,並使用基於問題的課程來探索預代數。
Malikai Bass M.A
平均評分:
5.0
評論數量:
(321)
熱門課程
班級

包含什麼

15 現場會議
12 小時 30 分鐘 上課時間
作業
每週 1 小時. Students may have up to ten minutes of work to wrap up after the end of each session depending on time management during the session. Otherwise, all work will be completed in the session.
評估
Students will receive a weekly written progress report. Two numerical assessment grades can be provided if requested.
等級
包括
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課堂經歷

英語程度 - 未知
美國 5 - 8 年級
Please Note : Time Change after Winter Break from 9 am PST to 12 PM PST. 

This is the fourth course in a series of micro-classes for middle school math. These micro classes are a hybrid of individualized learning and traditional classes. Each section has no more than five learners which provide a foundation for strong relationships, social-emotional learning, and truly individualized instruction. 
This series is based on an accelerated math curriculum that covers three years of content, aligned to Common Core Math Standards, over the course of two school years. It is perfect for students beginning middle school and students who need to catch up. The curriculum is problem-based this means instead of lectures or videos students work together as a small group to solve problems to discover principles and strategies with teacher guidance, as necessary. Therefore, we will spend approximately 90% of each class period working on problems and discussing them as a group. The use of discussion and problem-solving leads to generalized mathematics or proofs. This process prepares students well who may seek advanced mathematics in high-school or beyond. Students will complete a math notebook In the style of a “Main Lesson” book found in Waldorf and Steiner education philosophies to help with recall and long-term retention.
This unit is a five-week study of pre-algebra in which students develop a fundamental understanding of independent and dependent variables, coefficients, expressions, equivalent expressions, and exponents. They learn more efficient strategies for writing equations and work with positive whole number exponents and whole number, fraction, and variable bases. They will learn to solve linear equations with a single variable and simple equations with exponents. They will use these as tools to reason about the real world and geometrical situations and learn to represent and share this information in graphs and tables. 
Week 1: Students will learn to represent and solve equations with one variable beginning with tape diagrams, learning to understand whether equations are true or false, and balancing simple equations using the "mobile" strategy, they will also reconnect the knowledge of fractions and division. 
Week 2: Students begin writing expressions where letters stand for numbers and develop a logical system for explaining these choices. They revisit percentages in the context of simple equations and began working with equivalent equations. They will also apply their knowledge of the distributive property to problems. 
Week 3: Students will review what they've learned so far and take a mid-unit check-in to guide their practice and prepare for the second half of the class. They will also apply what they've learned to area, volume, and surface area to begin understanding the meaning of exponents. 
Week 4: Students work with exponents in expressions beginning with representing them, than evaluating simple expressions with exponents, and then working with equivalent exponential expressions. 
Week 5: Students learn to create equations and visual representations for systems involving two related quantities including identifying independent and dependent variables. They will work with tables, equations, and graphs in a project-based lesson. They will take an end-of-unit assessment.
學習目標
Students will understand and use the terms variable, coefficient, solutions, equivalent expressions, exponent, independent variable, and dependent variable. 
Students will write understand and use equations with coefficients and understand the "invisible 1" and "next-to" notation. 
They will work with whole-number exponents with whole number, fraction, or variable bases. They will use the properties of exponents to evaluate expressions. 
Students will find solutions to linear equations with one variable. 
Students will work with systems of equations using a mobile or balanced hanger framework. 
Students will work with simple exponential equations. 
Students will use these as tools to reason with math and the real world.
They will represent collections of equivalent ratios as equations and use them to make connections between tables, graphs, and linear equations.
學習目標

其他詳情

供應清單
Graph Paper                         Pencil
Colored Pencils                    Notebook
Scissors                               Whiteboard
Index Cards                         Markers
教學語言
英語
外部資源
除了 Outschool 教室外,本課程也使用:
  • Nearpod
已加入 April, 2021
5.0
321評論
熱門課程
教師檔案
教師專業知識和證書
I have been completed three college-level courses on common-core math instruction. I have worked as a math instructor for middle school students in a private school setting. I have ten years of experience as a math tutor including working with students from ages 5 (kindergarten) to 25 (Graduate Readiness Exam).

評論

現場團體小班課程
分享

US$75

每週或US$225 用於 15 課程
每週5次,共 3 週
50 分鐘

有9 位學習者完成此課程
即時視訊會議
年齡: 10-13
3-5 每班學員人數

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