Mathematics Curriculum Guide
Patterns, Relations and Functions
Algebra In the Area of: Patterns, Relations, & Functions |
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| 1
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| Identify, give examples, develop
variables.
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Create variables to solve problem. | Develop variables and equations for sale of tickets to first
play of the season (adults, children, seniors all different prices).
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Report, tabulation total sales. | Develop budget plan, variables, equations for class trip.
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Algebra In the Area of: Patterns, Relations, & Functions |
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| 2
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| Identify, describe, generate patterns
using variables.
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Recognize and describe patterns in daily attendance. | Track daily attendance by sex, grade, etc. Generate patterns. | Compare patterns and predictions to actual attendance.
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Algebra In the Area of: Patterns, Relations, & Functions |
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| 3
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| Define, solve, use literal and
equivalent equations.
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Solve literal and equivalent equations.
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Teams generate variables and equations to generate solutions.
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Compare actual results and team equations.
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Algebra In the Area of: Patterns, Relations, & Functions |
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| 4
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| Model, solve real problem situations using equations in one variable. | Plan remodeling home project. | Students plan options and cost to remodel on a fixed budget.
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Final remodeling plan and budget. | Students do actual plan for their room. | - Algebra, Chicago 2nd Edition. - Chapter 2 Test, Form D. |
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Algebra In the Area of: Patterns, Relations, & Functions |
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| 5
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| Model, apply real world situations involving polynomial and exponential functions. | - Exponent Bingo. - Can't Wait to Evaluate. - Use sample population and game to see result of exponential graph. |
- Evaluate exponents and their values. - Play game - each student box, pennies/objects, each round roll dice to see how many reproduce. Graph growth. |
Test will assess knowledge.
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-Assemble Game materials and play the gameswith teacher as
leader and in groups of four. -Prior to game, predict graph.
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-The Middle School Mathematician, pp. 33, 47-49. | |
Algebra In the Area of: Patterns, Relations, & Functions |
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| 6
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| Demonstrate algebraic transformations
using theories of equations.
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Algebra In the Area of: Patterns, Relations, & Functions |
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| 7
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| Use, identify, solve, factor, multiply problems using polynomial expressions and equations. | Chemistry: Explain Periodic Table; give examples of
calculating atomic weight of compound using multi-variable equations.
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Recognize real world uses of equations and variables.
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Will research at least three other compounds and calculate their atomic weight. | Use Periodic Table to find atomic weight of elements; set up
equation to determine compound's atomic weight.
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Algebra In the Area of: Patterns, Relations, & Functions |
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| 8
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| Use spreadsheets to assist in recognition of patterns and number sequences. | Create and use spreadsheet to write business plan for T-shirt business. | Design spreadsheet to show class flow on T-shirt business.
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Evaluate spreadsheet to determine if it is accurate and
provide need information.
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Do, "what if," analysis on product mix. | - Algebra, Chicago 2nd Edition. - Chapter 4 Test, Form D.
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Algebra In the Area of: Patterns, Relations, & Functions |
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| 9
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| Compute, develop, extend relationships
between graphs and various functions using a graphing calculator.
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Determine patterns for relationship of function and graph. | Using calculator, graph range of functions. Compare function
to graph. Develop conclusions.
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Algebra In the Area of: Patterns, Relations, & Functions |
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| 10
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| Demonstrate understanding of the relationship between function intercepts and zero(s). | -Zero Game: Provide decks of cards to each student.
Rules. -Show video on polynomials which illustrates zeros.
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-Recognize role of zero as an intercept value. -View video on polynomials.
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Test will assess knowledge. | Will play both single and double player version of game.
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Algebra In the Area of: Patterns, Relations, & Functions |
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| 11
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| Represent real situations using
variables in expressions, equalities, and inequalities.
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Sketch and interpret graphs arising from situations presented verbally and pictorially. | Set of realistic situations that students can sketch and
identify functions.
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Students create original situations which they can sketch and
model.
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-Language of Functions - Shell Center of Math Education. | ||
Algebra In the Area of: Patterns, Relations, & Functions |
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| 12
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| Demonstrate understanding of
relationship between linear functions and their inverse.
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Recognize relationship of linear function and its inverse. | Students create cards of function and inverse function. Play Memory
card game.
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Return to Algebra Curriculum Preface
Return to Algebra Curriculum Guide
Return to Mathematics Curriculum Frameworks