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### Algebra 1: Single Variable Statistics and Spreadsheets

#### Class Experience

###### US Grade 7 - 9

###### Follows Teacher-Created Curriculum

###### Aligned with Common Core State Standards (CCSS)

This is the first 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...

5 units//20 lessons//4 Weeks

Unit 1Getting to Know DataGetting to Know Data4 lessons1 WeekWeek 1Lesson 1Readiness AssessmentWe will complete a quick readiness check to introduce unit topics and allow for increased individualization with catered support and enrichment activities throughout the unitLesson 2Data About YouWe will understand statistical questions and the types of data they generate by creating and completing a classroom survey to get to know each other better.Lesson 3Data RepresentationsWe will review different data representations we learned in middle school such as histograms, dot plots, and box plots and review the key statistics that go with each so we can choose appropriate tools for problem solving.Lesson 4A Gallery of DataWe will represent and interpret data displays thinking about the shape of distributions and measures of center and spread. We will use technology to create data displays.Unit 2DistributionsDistributions2 lessons2 WeeksWeek 1Lesson 5The shape of distributionsWe will learn about the five most common distribution shapes and work to classify data displays.Week 2Lesson 6Measures of Center and VariabilityWe will review how to calculate statistics of center and spread and interpret them to solve problems.Unit 3How to use SpreadsheetsHow to use Spreadsheets3 lessons1 WeekWeek 2Lesson 7Mystery ComputationsIn this lesson we will introduce spreadsheets and explore writing formulas.Lesson 8Spreadsheet ComputationsWe will use spreadsheets to perform calculations efficiently.Lesson 9Spreadsheet ShortcutsIn our concluding lesson about spreadsheets, we will work with cell references and patterns in spreadsheets.Unit 4Manipulating DataManipulating Data7 lessons3 WeeksWeek 2Lesson 10Technological GraphingWeek 3Lesson 11The Effect of ExtremesWe will build connections between the shape of the distribution and the mean and median.Lesson 12Comparing and Contrasting Data DistributionsWe will compare data and make decisions using measures of center and variability. We will decide which measures to use based on the distribution of the data.Lesson 13Standard DeviationWe will introduce standard deviation as a measure of variability.Lesson 14More Standard DeviationWe will understand how standard deviation is calculated and practice interpreting it in a variety of contexts.Lesson 15OutliersWe will work on recognizing outliers and understanding how they impact measures of center and variability. We will understand when to exclude them form the data set.Week 4Lesson 16Comparing Data SetsWe will compare and contrast data sets based on measures of center and variability and including our work with standard deviations and outliers. We will use data to answer statistical questions.Unit 5Putting It To WorkPutting It To Work4 lessons1 WeekWeek 4Lesson 17Analyzing DataUtilizing Project Based Learning we will work to answer statistical questions using all the skills we have developed.Lesson 18Introduction to ModelingWe will explore mathematical modeling by looking at examples and cosetting expectations for our upcoming work.Lesson 19Math Modeling DayStudents will complete their own interest-Based Modeling Project using their new statistician skills.Lesson 20End of Unit Assessment

- HSS-ID.A Summarize, represent, and interpret data on a single count or measurement variable HSS-ID.A.1 Represent data with plots on the real number line (dot plots, histograms, and box plots). HSS-ID.A.2 Use statistics appropriate to the shape of the data distribution to compare center (median, mean) and spread (interquartile range, standard deviation) of two or more different data sets. HSS-ID.A.3 Interpret differences in shape, center, and spread in the context of the data sets, accounting for possible effects of extreme data points (outliers).

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.

## Assessment

Frequency: includedDetails: Learners will receive individual written progress updates.

This class is designed by an AUDHD/Dyspraxic Educator - slides and fonts designed to support dyslexia and visual processing - ability to type and use virtual drawing tools - communication aids including chat - ND Affirming classroom

Learners should have completed a pre-algebra curriculum.

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.

In addition to the Outschool classroom, this class uses:

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.

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.

##### Teacher expertise and credentials

Malikai Bass is a twice exceptional (profoundly gifted/ autistic adhder with dyspraxia/dysgrpahia) life-long learner who has been teaching twice-exceptional students virtually for the past four years working with over a thousand students in...

#### Reviews

###### Group Class

#### $80

weekly or $320 for 20 classes5x per week, 4 weeks

50 min

Completed by 6 learners

Live video meetings

Ages: 11-14

3-6 learners per class