가속 학습자를 위한 대수 1: 2변수 통계 및 상관 관계
이 엄격한 수학 과정에서 학습자는 대수학에 대한 공부를 계속하고 잔차와 상관 계수를 사용하여 자신의 선형 모델을 구성하고 다양한 주제를 탐구하는 데 필요한 기술을 사용하여 가장 적합한 선을 평가합니다.
Malikai Bass M.A
평균 평점:
5.0
수강 후기 수:(325)
인기 수업
무엇이 포함되어 있나요?
15개의 라이브 미팅
수업 12 시간 30 분 시간숙제
주당 1시간. Students will complete one mathematical modeling project in the last week of class.학습 평가
Learners will receive individual written progress updates.보고계신 지문은 자동 번역 되었습니다
수업 소개
영어 수준 - 알 수 없음
미국 7학년 - 9학년 학년
This is the third course in a year-long sequence which covers standards and ideas in Algebra 1 intended for learners in middle school ready to begin Algebra 1 or high school learners who need additional support. These courses are taught in small-groups to provide individual instruction and social-learning opportunities aligned with a social constructionist or situated cognition view of learning. 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 and students will construct their own models or proofs of real-world scenarios in project based assignments. This process prepares students well who may seek advanced mathematics in high-school or beyond. In this unit students revisit two-way tables to find associations in categorical data using relative frequencies and building on previous experiences and knowledge of scatter plots. Learners will assess how well a linear model matches the data using residuals as well as the correlation coefficient to evaluate lines of best-fit found using technology. We will also work to differentiation causation-based relationships. Week 1: - Readiness Check which allows instructor to identify areas of potential acceleration or needs for extra support for individual learners and the whole group. - Two-Way Tables -Relative Frequency Tables - Associations in Categorical Data - Linear Models Week 2: - Fitting Lines - Residuals - The Correlation Coefficient - Using the Correlation Coefficient Week 3: - Student Choice of Project Based Learning - Modeling Task Finding, Visualizing, and Modeling Causal Relationships in Data - Review -End of Unit Assessment
학습 목표
HSS-ID.B.5
Summarize categorical data for two categories in two-way frequency tables. Interpret relative frequencies in the context of the data (including joint, marginal, and conditional relative frequencies). Recognize possible associations and trends in the data.
HSS-ID.B.6
Represent data on two quantitative variables on a scatter plot, and describe how the variables are related.
HSS-ID.B.6.a
Fit a function to the data; use functions fitted to data to solve problems in the context of the data. Use given functions or choose a function suggested by the context. Emphasize linear, quadratic, and exponential models.
HSS-ID.B.6.b
Informally assess the fit of a function by plotting and analyzing residuals.
HSS-ID.B.6.c
Fit a linear function for a scatter plot that suggests a linear association.
HSS-ID.C
Interpret linear models
HSS-ID.C.7
Interpret the slope (rate of change) and the intercept (constant term) of a linear model in the context of the data.
HSS-ID.C.8
Compute (using technology) and interpret the correlation coefficient of a linear fit.
HSS-ID.C.9
Distinguish between correlation and causation.
그 외 세부 사항
학부모 가이드
Students will need to use Nearpod. They will need to click a link and enter their first name or initial. No other identifying information will be collected.
수업 자료
Learners will need a way to write/draw to solve problems. This class is best taken using a computer and mouse, but learners might benefit from having a secondary touch screen device in order to be able to screen share math work.
Outschool 외 필요 앱/웹사이트
이 수업에서는 아웃스쿨 교실 외에도 다음의 툴을 사용합니다:
출처
The scope and sequence of this course is based on the open source Illustrative Mathematics curriculum and has been adapted for 2e, neurodiverse, and home-based learners. Illustrated Mathematics is licensed under a creative commons attribution license: https://creativecommons.org/licenses/by/4.0/
Pedagological Resources:
Gravemeijer, K. (2020). A socio-constructivist elaboration of realistic mathematics education. In National reflections on the Netherlands didactics of mathematics (pp. 217-233). Springer, Cham.
Vintere, A. (2018). A constructivist approach to the teaching of mathematics to boost competences needed for sustainable development. Rural Sustainability Research, 39(334), 1-7.
Briscoe, L., & Van Kesteren, J. (2018). THE ART OF MATH. Gazette-Ontario Association for Mathematics, 57(2), 21-24.
가입일: April, 2021
5.0
325수강 후기
인기 수업
교사 전문성 및 자격증
Professional Experience:
I have been a math tutor for over 12 years and have worked with students from ages 5-25 in small group and academic settings including serving as a primary teacher for home educated learners. I have received training and tutoring certification/awards from nationally recognized organizations. I was a group supplemental instruction leader for math at the collegiate level for four years at ETSU including working with dual enrolled and accelerated learners. I have taught and tutored math up to a graduate level in algebra, geometry, probability, and quantitative reasoning.
Academic Experience:
Constructivism and Mathematics, Science, and Technology Education
This graduate level online course for educators used practical examples and empirical research to connect the educational philosophy of constructivism to best practices in STEM education and demonstrated online teaching strategies for this endeavor. It highlighted the power of solving problems through building and applying understandings rather than rote processes which influences the problem-centered curriculum This class also addressed common misconceptions or alternative schemas students develop for math and science prior to instruction and provided ideas for experiments and explorations to adjust these conceptions.
Math 1410 Numbers, Concepts, and Algebra for Math Teachers
This in-person semester long coursed prepared students to teach common core mathematics to students in grades kindergarten through eight including early access to algebra. It included practical teaching experience, ensuring the personal math conceptual fluency of each educator, and demonstrating expertise on the Praxis math exam for educators.
Math 1420: Logic, Problems, and Geometry for Math Teachers
This in-person semester long course prepared teacher candidates to teach common core mathematics to students in grades kindergarten through eighth including advanced ideas of logic, problem solving, and geometry using a constructivist lens.
리뷰
실시간 그룹 수업
15 회 수업에
US$225
3주 동안 주당 5회
50분
9 명의 학생이 수업을 완료함
실시간 화상 수업
연령: 12-15
수업당 학습자 3-6 명
