This page contians links to Algebra 1 resources according to the units created by math specialists in Arkansas. These are not meant to suggest the best way to organize information into units only one possible way. The thinking behind this organization is that each unit is like a box of resources centered around a topic. The links below represent possible lessons that could be in the box, not a complete unit. During the course of a unit, the students are to learn a given set of topics, but the teachers will not necessarily do every lesson or even do them in order. The specific activity chosen or the next specific topic depends on what students do and say as they are working (planning based on formative assessment). Themes such as solving equations or data analysis are woven into instruction throughout the year. The units and standards associated with each of these resources is only a suggestion based on the opinion of the person(s) who created the link and is not intended to be a specific interpretation of the standards. Many of the resources could be used in different or even in multiple units.
Be sure to check out Illustrative Mathematics, https://www.illustrativemathematics.org, for the standards taught in each unit. This site is organized by standard. Because of the number of tasks on that site, not all of the tasks are included here. More tasks are being added to that site all the time. It is a great resource for tasks that match the CCSSM.
In considering these units there are organizing theme standards for the course that are taught and developed in every unit (Algebra 1 is about "functions"): F.IF.1, F.IF.2 , F.IF.3, N.RN.3, F.IF.4, F.IF.5, F.IF.6, F.IF.7, F.IF.8a, F.IF.9, F.BF.1,F.BF.2, F.LE.1, F.LE.2,F.LE.3, F.LE.5, S.ID.6
Unit 1 - Introduction to Functions
Organizing Theme Standards and F.IF.1, S.ID.5
Unit 2 - Linear Functions
Organizing Theme Standards and N.Q.1, N.Q.2, N.Q.3, A.SSE.1, A.SSE.2, A.CED.1, A.CED.2, A.CED.3, A.CED.4, A.REI.1, A.REI.3, A.REI.5, A.REI.6, A.REI.10, A.REI.12, S.ID.6c, S.ID.7, S.ID8, S.ID.9
- A.SSE and A.APR -- Interpreting Algebraic Expressions -- http://map.mathshell.org/materials/lessons.php?taskid=221&subpage=concept -- intended to help you assess how well students are able to translate between words, symbols, tables, and area representations of algebraic expressions.
- F-LE Do Two Points Always Determine a Linear Function? -- https://www.illustrativemathematics.org/illustrations/377 -- Task from Illustrative Mathematics that connects algebraic and Geometric understanding of a function -- good reminder of the importance of domain and also stresses the equation of a linear function.
- Modeling Situations With Linear Equations -- http://map.mathshell.org/materials/lessons.php?taskid=211&subpage=concept -- to help you assess how well students use algebra in context, and in particular, how well students: Explore relationships between variables in everyday situations, Find unknown values from known values, Find relationships between pairs of unknowns, and express these as tables and graphs, Find general relationships between several variables, and express these in different ways by rearranging formulas.
- Math Partners materials on Linear Relationships -- http://www2.edc.org/mathpartners/pdfs/8-9%20Linear%20Relationships.pdf -- unit (developed for 8th grade) on patterns to linear functions -- these are included because some of the problems could be used to introduce grade-level ideas (since unit is below grade level, not recommended to use entire unit in Algebra 1).
- Classifying Solutions to Systems of Equations -- http://map.mathshell.org/materials/lessons.php?taskid=411&subpage=concept -- to help you assess how well students are able to classify solutions to a pair of linear equations by considering their graphical representations.
- Lines and Linear Equations -- http://map.mathshell.org/materials/lessons.php?taskid=440&subpage=concept -- to help you assess how well students are able to interpret speed as the slope of a linear graph and translate between the equation of a line and its graphical representation.
- A.CED.2, A.REI.6, F.BF.1b - Over the Hill - http://www.nctm.org/rsmtasks/ - Click on the "Over the Hill" task on this page of sample tasks from NCTM's Reasoning and Sense-Making series. In this task students investigate linear functions and systems of equations in an investigation of who can receive cell phone signals from a tower. This is one of the sample tasks from the series that can be purchased on the NCTM Reasoning and Sense Making Series page.
- A.REI.5, A.REI.6 - Solve Systems of Equations: http://illuminations.nctm.org/LessonDetail.aspx?id=L698 Escape the tomb engages students in an activity involving springs and objects where students may apply and find relevance in solving systems of equations.
- A.REI.5, A.REI.6 - Graphing lines, understanding slope, and Systems of Equations - http://illuminations.nctm.org/LessonDetail.aspx?id=U188 Movement with Functions offers three lessons using movement to help students master concepts of both linear and systems of equations. Activities include everything from motion detectors to remote-control cars.
- A.REI.6 - Supply and Demand - http://illuminations.nctm.org/LessonDetail.aspx?id=L724 - students write a system of linear equations in a real world setting.
- A.REI.6 - Dan Meyer’s Boat In the River (Escalator) - http://blog.mrmeyer.com/?p=7649 - Considering the importance of relevance in what we teach is a common theme in Dan Meyer’s talks. In this blog post he offers leading and engaging questions, video, and questions as students try to determine how long it would take him to walk up the “down” escalator.
- A.REI.6 - Cloth vs. Disposable Diapers - http://www.yummymath.com/2012/diapers-thank-your-parents/ compares the cost of cloth and disposable diapers.
- A-CED.2, A-CED.3, A-REI.1, A-REI.3, A-REI.6 – The Cycle Shop - http://schools.nyc.gov/Academics/CommonCoreLibrary/TasksUnitsStudentWork/default.htm Lessons involving with activities, assessments, and samples of rubrics and appropriate work.
- F.IF.8, F-LE.2, F-LE.5- “Diapers-thank your parents” - http://www.yummymath.com/2012/diapers-thank-your-parents/ linear equations and introduction to linear systems of equations activity in which students estimate the cost to their parents of diapers.
- F.IF.8 - Systems of Equations Project- http://betterlesson.com/document/104236/systems-of-equations-project-kcp real life application (baby sitting) of writing, graphing and solving a system of equations (requires a free better lesson login).
- N.Q.1 & N.Q.2 - Fuel for Thought - http://www.nctm.org/rsmtasks/ - Click on the "Fuel for Thought" task on this page of sample tasks from NCTM's Reasoning and Sense-Making series. In this task students investigate different options for replacing vehicles with one that gets better gas mileage. This is one of the sample tasks from the series that can be purchased on the NCTM Reasoning and Sense Making Series page
Unit 3 - Exponential and Linear Functions
Organizing Theme Standards and N.Q.1, N.Q.2, N.Q.3, A.SSE.1, A.SSE.2, A.SSE.3c, A.CED.1, A.CED.2, A.CED.3, A.CED.4, A.REI.1, A.REI.3, A.REI.10, A.REI.12, S.ID.6c
Unit 4 - Polynomial and Rational Functions (this unit encompasses quadratics since quadratics are a special case of polynomial functions, so some of this may be done before unit 5 and some done during or after unit 5)
Organizing Theme Standards and N.Q.1, N.Q.2, N.Q.3, A.SSE.1, A.SSE.2, A.SSE.3, A.APR.1 NOTE: This is placed before Quadratic functions to help students see that quadratic functions are special cases of polynomial functions (actually so are linear functions). The rules that apply to polynomial functions also apply to quadratic functions. Unit 4 and 5 will likely weave together during instruction, built on the understanding built in previous units.
Unit 5 - Quadratic, Exponential, and Linear Functions (see also above unit)
Organizing Theme Standards and N.RN.3, N.Q.1, N.Q.2, N.Q.3, A.SSE.1, A.SSE.2, A.SSE.3, A.APR.1, A.APR.3, S.ID.1, S.ID.2, S.ID.3, A.CED.1, A.CED.2, A.CED.3, A.CED.4, A.REI.1, A.REI.3, A.REI.4, A.REI.5, A.REI.6, A.REI.10, A.REI.12
- A.CED.1, A.CED.2, F.IF.7 – Function Matching - http://illuminations.nctm.org/ActivityDetail.aspx?ID=215 - Preparatory activity: Student may access an interactive game which asks students to complete the equation of a given graph. Students may explore linear, quadratic, other exponential graphs and trigonometric functions graph.
- F.IF.7- The Fourth - http://www.yummymath.com/2012/the-fourth/ - students draw fireworks using parabolas on a graphing calculator.
- F-BF -- Generalizing Patterns: Table Tiles -- http://map.mathshell.org/materials/lessons.php?taskid=215&subpage=problem -- to help you assess how well students are able to identify linear and quadratic relationships in a realistic context: the number of tiles of different types that are needed for a range of square tabletops.\
- F.BF.1 - L-Patterns - L_Patterns.docx - This task asks for the total number of tiles needed to build a series of L-pattern figures. Would be a good introductory task to introduce quadratic functions and questions could be adapted for a discussion of series and sequence.
- A.SSE.3, F.IF.4, F.IF.7, F.IF.8, F.IF.9 - Forming Quadratics - http://map.mathshell.org/materials/lessons.php?taskid=224&subpage=concept - A Mars task in which students investigate different forms of Quadratic equations, their graphs, and their key features.
- A.SSE.3a -- If Factoring Trinomials is the Aspirin, How Do We Create the Headache? -- http://blog.mrmeyer.com/2015/if-factoring-trinomials-is-aspirin-then-how-do-you-create-the-headache/ -- Blog by Dan Meyer discussion a way to introduce factoring trinomials by creating a need to do so.
- F.IF.7- The Fourth - http://www.yummymath.com/2012/the-fourth/ - students draw fireworks using parabolas on a graphing calculator.
- A.SSE.3 - Horseshoes in Flight - http://www.nctm.org/rsmtasks/ - Click on the "Horseshoes in Flight" task on this page of sample tasks from NCTM's Reasoning and Sense-Making series. In this task students investigate different forms of quadratic equations and their uses. This is one of the sample tasks from the series that can be purchased on the NCTM Reasoning and Sense Making Series page.
- F.LE.5 – Sorting Functions - http://www.insidemathematics.org/assets/common-core-math-tasks/sorting%20functions.pdf -scroll to “Sorting Functions” and click on “Entire Sorting Functions Toolkit Packet” to get information for task. In this task students will match the graphs, tables, and rules to equations. Student work and rubric are included.
- F.LE.5 – Geometric Parabola - http://nrich.maths.org/6965 (Task) Students will discover what happens when the values of a, b, and c change in the standard form of the equation.
- F.LE.4 – How’s the Weather? - http://illustrativemathematics.org/illustrations/649 - Students will make sense of a graph in the context of real world situations.
- F.LE.4, F.LE.9 – Egg Launch Contest - http://illuminations.nctm.org/LessonDetail.aspx?id=L738 - Students will relate functions as tables, graphs, and equations in real world situations.
Unit 6 - Exploring other Functions
Organizing Theme Standards with other functions types mentioned, but not yet discussed (trig. functions, etc.)
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