Algebra 1 - burlington-nj.net

1 CITY OF BURLINGTON PUBLIC SCHOOL DISTRICT CURRICULUM. Algebra 1. 10 Credits Revision Date: July 2018. Submitted by: Matthew Cann & Toni Margaretta 1. Table of Contents: Course Overview .. 3. Pacing Chart .. 5. Unit 1: Modeling with Linear Equations and Inequalities Overview 6. Unit 1: Modeling with Linear Equations and Inequalities Targeted Instructional Planning (TIP) to Address Central Unit Standards: .. 10. Unit 2: Modeling with Linear Functions, Linear Systems, & Exponential Functions Overview At-a-Glance .. 14. Unit 2: Modeling with Linear Functions, Linear Systems, & Exponential Functions TIP to Address Central Unit Standards: .. 19. Unit 3: Quadtatic Equations, Functions, & Polynomials Overview At-a-Glance .. 23. Unit 3: Quadtatic Equations, Functions, & Polynomials Targeted Instructional Planning to Address Central Unit Standards: .. 27. Unit 4: Modeling with Statistics Overview At-a-Glance .. 31. Unit 4: Modeling with Statistics Targeted Instructional Planning to Address Central Unit Standards.

2 36. 2. Course Overview The New Jersey Student Learning Standards provide a consistent, clear understanding of what students are expected to learn, so teachers and parents know what they need to do to help them. The standards are designed to be robust and relevant to the real world, reflecting the knowledge and skills that our young people need for success in college and careers. With American students fully prepared for the future, our communities will be best positioned to compete successfully in the global economy. The curriculum guide has been generated to not only help students achieve the New Jersey Student Learning Standards, but to ensure that students will be prepared for college and career opportunities following high school graduation. Primary Resource(s). Textbook with Digital Support and Resources Title: enVision Algebra 1. Publisher: Pearson Education Inc. Copyright: 2018. Supplemental Materials (including various level of texts at each grade level).

3 Algebra 1 Suite of Tools, NJ Department of Education Mathematics Curricular Framework, NJ Department of Education NJ Center for Teaching and Learning: Progress Math Initiative Worksheets, Presentations, Activities, and Assessments Math Worksheets Land 3. Inside Mathematics - Common Core Resources Mathematics Assessment Project Mathematics Assessment Resource Services Illustrative Mathematics - Content Specific Mathematics Tasks 4. Pacing Chart Unit # & Title Pacing (must equal 165 days for full-year or 83 days for half-year course). Unit 1 Modeling with Linear Equations and Inequalities 35 days Unit 2 Modeling with Linear Functions, Linear Systems, & Exponential Functions 40 days Unit 3 Quadratic Equations, Functions, & Polynomials 70 days Unit 4 Modeling with Statistics 20 days 5. Unit 1: Modeling with Linear Equations and Inequalities Overview At-a-Glance Unit #1 Modeling with Linear Equations and Inequalities Unit Description: In this unit, students will focus on conceptual understanding of linear equations and inequalities, graphing linear equations and inequalities, applying linear equations and inequalities to real life situations, and interpreting linear graphical results.

4 Essential Questions: 1. What general strategies can you use to solve simple equations and inequalities? 2. Why is it useful to have different forms of linear equations? 3. How can linear functions be used to model situations and solve problems? Essential Skills: Reason quantitatively and use units to solve problems Solve [linear] equations and inequalities in one variable Understand solving equations as a process of reasoning and explain the reasoning Create equations that describe numbers or relationships Interpret the structure of expressions Represent and solve equations graphically Summarize, represent, and interpret data on quantitative variables Interpret linear models 6. Standards Addressed within Unit 1. Central Unit Standards- This unit will focus primarily on Supporting Unit Standards- This unit will also include activities learning goals aligned with the following standards: aligned with the following standards: Math Standards NGSS Standards ELA Standards Unit 1 Details Modifications for Special Education Students, English Integration of 21st century skills through NJSLS 10 and Career Language Learners, Students at Risk of Failure, and Gifted Education: Students- Modify instructional approach and/or assignments and Lessons, activities, and assessments require creativity and evaluations as needed based for students with IEPs, 504s, ELLs innovation on the part of the students.

5 They are required to and gifted and talented students including but not limited to: create projects and products as examples of mastery in each Alternate responses (drawings with captions, spoken unit. responses, etc.) Critical thinking and problem solving skills are a core Advance/Guided notes component of learning and assessment throughout this Reteaching exercises to build understanding curriculum. Students are required, in each unit, to advance Mathematical literacy and vocabulary exercises their learning through all levels of Bloom's Taxonomy to Bounce pages phone app to view Virtual Nerd videos for address the evaluation, synthesis, and creation of products concept explanations; Scan for multimedia indicated on using learning at the highest levels. Problem-solving is a textbook page recurring theme in the curriculum as students must seek ways to creatively apply the concepts to solve problems rather than simply remember the material. 7. Extended time Learning advocates for health literacy as a critical Teacher modeling (non-verbal teacher communication in component of a healthy lifestyle and the ability to make addition to spoken instructions) good health-related decisions.

6 Simplified written and verbal instructions Students explore areas that support environmental literacy, ELL support materials (eDictionaries, native language including society's impact on the environment and what can prompts, etc.) be done to support environmental solutions. Increased integration of higher order thinking processes, Lessons, where appropriate, incorporate multiple creative and critical thinking activities, problem-solving, perspectives to infuse cultural and global awareness. and open-ended tasks Students must be information literate, they must be able Advanced pacing levels to find and use information effectively, in order to succeed in class as learning activities require independent research Greater opportunities for freedom of choice and of relevant information outside of the provided textbook independent study that encourage independent and intrinsic and/or resources. learning CSI Projects to integrate higher-order thinking skills and creativity Create portfolios and peer lessons Graphic organizers Visual vocabulary Hands-On labs and modeling activities Graph paper to produce visual representations of transformations Enrichment activities and worksheets Assessments- including benchmarks, formative, summative, Suggested Interdisciplinary Activities for this Unit and alternative assessments Career Education Create a budget; track and distribute assets Formative and debits Fluency Practice Activities Pearson Lesson Quizzes Health/PE Capture/recapture sampling method; BMI/Heart rate Topic Readiness Assessment calculations; Compare and select a Health Club Membership Mid-Topic Assessment 8.

7 Mid-Topic Performance Task English Language Arts & Literacy According to one count, the (ExamView ) Lesson and Checkpoint Quizzes letter e makes up 1/8 of a typical document written in English. A. Online skills practice document contains 2800 letters. About how many letters in the PMI Quizzes document are NOT e? 3-Act Problem Solving Desmos Activities ( ) Art Golden ratio and golden rectangle; Introduction of such and the major effect on artistic representation (Renaissance). NWEA MAP Testing Science Indirect Measurement in Astronomy Summative STEM Project History/Social Studies Distribution of House of Representatives Topic Assessment based on population distributions Topic Performance Task/Assessment Technology You format a document in three columns of equal width. The document is in wide. You want left and right margins of 1 in each. Between the columns there is a gutter that is 1/8 as wide as each column. What is the width of each column? World Languages Using the results of ELA, what is the fraction of letters in another language that are vowels?

8 What is the most occurring letter in languages other than English? Unit 1 Resources Teachers should utilize school resources available in our Media Center to infuse alternate sources, perspectives, and approaches. Resources should include textual support but also span multimedia options to engage multiple modalities. In addition, to support struggling readers and increase rigor for advanced readers, the coursework may also draw on additional developmentally appropriate resources to facilitate challenging levels of work for all students. Leveled Supplemental Materials and Media/School Library Integration of the Technology Standard Resources 9. Various leveled texts available via text, supplemental text, and in the appendices of the curriculum document. Additional supplemental resources: Learnzillion, Khan Pearson Envision Digital Assessments, Practice, Videos Academy, Math TV, BetterLesson, Kuta Software, Math Microsoft Office: Word, Excel, PowerPoint Worksheets Land, Google Docs Informational Text resources from EdHelper, Scholastic Math Graphing Calculators/Online graphing tools Digital Resources: CC Stations, CSI Math Projects, and CCSS Mathematics Warm-ups.

9 Unit 1: Modeling with Linear Equations and Inequalities Targeted Instructional Planning to Address Central Unit Standards: Central Unit Standard Suggested Instructional Suggested Student Output Formative Assessments and Student Learning Activities (Portfolios, Projects, Tasks, Objective Evaluations, & Rubrics). Illustrative Math Topics Journal entries (Essential Questions) Formative Runners' World Fluency Practice Notebook activities Activities Giving Raises Pearson Lesson Open-ended responses Quizzes Calories in a Sports Topic Readiness Drink Student-led discussion of key points Assessment Mid-Topic , Presentations using technology Assessment Reasoning with linear Mid-Topic inequalities Collected Homework Performance Task (ExamView ) Lesson Equations and Notebook Checks and Checkpoint Formulas Quizzes Students will research systolic blood PMI Quizzes Kitchen Floor Tiles pressure and how to determine how 10. calories are burned. Students will Planes and wheat organize their data, making sure all Summative equations and inequalities are used in STEM Project Paying the rent all the activities.

10 They will present this (suggested project:). data to classmates using tables and Design a Smartphone Zero Product graphs. Topic Assessment Property 1 Topic Performance Students will produce a storybook that Task Clea on an will explain their topic. It should be Escalator directed to the target audience. , Coffee The fantasy football project is and Crime an activity that can be used for a few weeks, simply to Diagnostic assessment assess student's ability to generate appropriate Guided Instruction expressions and analyze data to evaluate their team's Interactive Notebook score.. Open-ended questions Essential Questions Pearson Active Math Exploration interactive computer models Pearson Video tutorials Brain Pop videos and activities Practice worksheets 11. PARCC Sample Questions Apply concepts related to writing and solving equations and inequalities by Pearson Mathematical using clues about unknown quantities Modeling in 3-Act Problems: to determine those quantities (# of Collecting Cans cans).