Algebra I Standards

Algebra

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Algebra
Mathematics Curriculum Standards 3102 - Algebra I	Internet Resources
Checks for Understanding (Formative/Summative Assessment) 3.1 | 3.2 | 3.3 | 3.4 | 3.5 | 3.6 | 3.7 | 3.8 | 3.9 | 3.10 | 3.11 | 3.12 | 3.13 | 3.14 | 3.15 | 3.16 | 3.17 | 3.18 | 3.19 | 3.20 3.21 | 3.22 | 3.23 | 3.24 | 3.25 | 3.26 | 3.27 | 3.28 | 3.29 | 3.30 | 3.31 | 3.32 | 3.33 | 3.34 | 3.35
Recognize and extend arithmetic and geometric sequences. 3102.3.1	Analyzing Numeric and Geometric Patterns of Paper Pool - an activity from Illuminations, the NCTM site. Calculating the nth Term - how to develop a formula that can be used to calculate these terms Multiple-Choice Questions - twenty (20) questions on Patterns & Functions Mystery Operations - the computer makes up a mystery operation, and you have to figure out what the operation is Number Patterns - involving exchange of Valentines
Explore patterns including Pascal�s Triangle and the Fibonacci sequence. 3102.3.2	Pascal's Triangle Interface Exploring Pascal's Triangle: Lessons from the Math Forum Pascal's Triangle and the ice cream cones Pascal Triangle Applet - This applet graphically presents the Pascal triangle The Fibonacci Sequence - How many pairs of rabbits will be produced in a year, beginning with a single pair, if in every month each pair bears a new pair which becomes productive from the second month on? The Mathematics of the Fibonacci series Fibonacci Numbers and Nature Easier Fibonacci puzzles - Puzzles on this page have fairly straight-forward and simple explanations as to why their solution involves the Fibonacci numbers Harder Fibonacci Puzzles - Puzzles on this page are harder to explain but they still have the Fibonacci Numbers as their solutions
Justify correct results of algebraic procedures using extension of properties of real numbers to algebraic expressions. 3102.3.3
Simplify expressions using exponent rules including negative exponents and zero exponents. 3102.3.4	Evaluating Exponents of Negative Numbers - AAA Math lesson and practice problems & Exponent Practice - Try a workout of 10 problems. If you get at least 8 correct on your first attempt, then you're ready to move on. If not, review "In Depth" and try again. Exponents - Unit 3 from Ms. Glosser's Math Goodies Interactive Algebra Review on Integer Exponents Simplifying - Expressions that have had their like terms combined. Match each expression on the left with an expression on the right. Type the letter of the correct expression in the box. Use the Equation Calculator from Algebra Help
Add, subtract, and multiply polynomials including squaring a binomial. 3102.3.5	Factoring Trinomials - practice exercises at Math Pinball Factoring Trinomials Self Quiz - Check your knowledge about factoring polynomials. Interactive Algebra Review - Multiplying Algebraic Expressions Interactive Algebra Review - Solving Polynomial Equations (see also part B of this tutorial) Multiplying Polynomials - a step-by-step explanation from PurpleMath Solving Polynomial Equations - In algebra you spend lots of time solving polynomial equations or factoring polynomials (which is the same thing). This paper ties them all together in a coherent whole.
Find the quotient of a polynomial and a monomial. 3102.3.6	Factoring Trinomials - practice exercises at Math Pinball Factoring Trinomials Self Quiz - Check your knowledge about factoring polynomials. Interactive Algebra Review - Multiplying Algebraic Expressions Interactive Algebra Review - Solving Polynomial Equations (see also part B of this tutorial) Multiplying Polynomials - a step-by-step explanation from PurpleMath Solving Polynomial Equations - In algebra you spend lots of time solving polynomial equations or factoring polynomials (which is the same thing). This paper ties them all together in a coherent whole.
Use various models (including area models) to represent products of polynomials. 3102.3.7	Solving Polynomial Equations - In algebra you spend lots of time solving polynomial equations or factoring polynomials (which is the same thing). This paper ties them all together in a coherent whole.
Find the GCF of the terms in a polynomial. 3102.3.8	Factoring out the Greatest Common Factor - practice exercises at Math Pinball Finding the Greatest Common Factor of 2 or 3 Numbers - practice exercises at Math Pinball Finding the Greatest Common Factor of Variable Expressions - practice exercises at Math Pinball LCM and GCF - To find either the Least Common Multiple (LCM) or Greatest Common Factor (GCF) of two numbers, you always start out the same way Investigating LCM and GCF Using Rods GCF & LCM - enter two values and this site will solve for GCF and LCM Interactive Algebra Review - Factoring Algebraic Expressions
Find two binomial factors of a quadratic expression. 3102.3.9	Exponential Functions - lesson plan for two class periods, the document includes links to worksheets 8th Grade Math Unit 10 - Graphing Quadratic and Exponential Functions - assessment review, 23 questions Patterns with Linear, Quadratic, and Exponential Functions - lesson plan for two or three class periods, the document includes links to worksheets Quadratic Equations and Patterns - lesson plan for two class periods, the document includes links to worksheets Solving Quadratic Equations by Factoring - a fifteen slide show with examples and a chance for student response - an Interactive Chalkboard show
Add, subtract, multiply, and divide rational expressions and simplify results. 3102.3.10	Concentration type game from Quia using algebraic expressions - If d = 2 match the algebraic expressions to the correct answers. Interactive Algebra Review on Integer Exponents Evaluating Exponents of Negative Numbers - AAA Math lesson and practice problems & Exponent Practice - Try a workout of 10 problems. If you get at least 8 correct on your first attempt, then you're ready to move on. If not, review "In Depth" and try again. Exponents - Unit 3 from Ms. Glosser's Math Goodies Interactive Algebra Review - Rational Algebraic Expressions Simplifying - Expressions that have had their like terms combined. Match each expression on the left with an expression on the right. Type the letter of the correct expression in the box. Use the Equation Calculator from Algebra Help
Solve multi-step linear equations with one variable. 3102.3.11	Solving Simple Linear Equations with Integer Coefficients - practice exercises at Math Pinball Solving More Complicated Linear Equations with Integer Coefficients - practice exercises at Math Pinball
Recognize and articulate when an equation has no solution, a single solution, or all real numbers as solutions. 3102.3.12
Solve multi-step linear inequalities with one variable and graph the solution on a number line. 3102.3.13	Inequalities Workout - six matching questions at Math.com Practice with Solving Inequalities - six questions with answers in pull down menus [This expired page is brought to you by the Internet archive, the Wayback Machine.] Solving Inequalities: Overview - a three-page lesson from Purple Math
Solve absolute value equations and inequalities (including compound inequalities) with one variable and graph their solutions on a number line. 3102.3.14	Absolute Value lesson from Purple Math Comparing two numbers on a number line from Web Math. Learn how to compare two numbers using a number line. Type each number into the boxes provided, then click "Show Me!" Create a Haunted House.....if you dare! - Follow directions to sharpen your graphing skills, create a cool haunted house and then morph it using math. Determining the Sign of Absolute Value Expressions - practice exercises at Math Pinball Expressions, Equation Solving and Graphing in the Coordinate Plane - The Haunted house and many more coordinate plane practice problems Graphing Equations and Inequalities Unit Quiz Line Jumper - Funbrain number line (choose Super Brain!) Number Line Bounce - Instructions on how to play are included at the top of the window. Number Line: Comparing and Ordering Integers - practice with an Interactive Adventure with Deep Sea Carl. Carl is diving in the Great Barrier Reef off the coast of Australia. These waters are shark infested. Keep Carl safe by determining how many feet below sea level Jaws Daddy is. Simplifying Basic Absolute Value Expressions - practice exercises at Math Pinball Solving Absolute Value Equations - a lesson from Purple Math Visualizing Numbers on an Interactive Number Line - instructions for using this activity are included
Determine domain and range of a relation and articulate restrictions imposed either by the operations or by the real life situation that the function represents. 3102.3.15
Determine if a relation is a function from its graph or from a set of ordered pairs. 3102.3.16
Recognize �families� of functions. 3102.3.17	Domain, Range, Derivative, 1-D Kinematics - a Quia quiz Explore Families of Functions - Families of Functions you need to know This page opens in a new window. Close the window to return to this page. Families of Functions - includes a picture of the function family at home Families of Functions - graph-description match game Links to twelve other function family games Families of Functions and Curves - Four Basic Function Families - Function Machine Functions - There are different ways of looking at functions.  This lesson from Purple Math will consider a few. Introduction to the Four Basic Function Families What is a Function? - a thorough examination of the concept in the form of a PowerPoint show
Analyze the characteristics of graphs of basic linear relations and linear functions including constant function, direct variation, identity function, vertical lines, absolute value of linear functions. Use technology where appropriate. 3102.3.18
Explore the characteristics of graphs of various nonlinear relations and functions including inverse variation, quadratic, and square root function. Use technology where appropriate. 3102.3.19
Understand that a linear equation has a constant rate of change called slope and represent slope in various forms. 3102.3.20	Algebra vs the Cockroaches - determine the slope of the line that cockroaches are crawling along to destroy them Bell work PowerPoint show on Slope of a line Equation of a Line: Slope-Intercept Form - An interactive applet that will help you visualize how changing the values for the slope, m, and the y-intercept, b, will affect the graph of the equation y = mx + b. Equation of Lines - a PowerPoint show Find the graph that best matches the linear equation Graphing Linear Equations - an internet project Linear Equation Test - Can you work out the answers? Use the multiple choice boxes or the radio buttons to select your answer. Linear Functions Part A: Basics: Slope and Intercept Part B: Finding the Equation of a Line Linear Function Jeopardy in the form of a PowerPoint show Linear Functions, Slope and Regressions - one example is the Kalamazoo Wal-mart Live or Die Scenario Practice Converting Linear Equations Into Slope Intercept Form - an eleven slide PowerPoint show Practice from Math.com: The coordinate plane, Slope and y-intercept, and Graphing linear equations. Slope Intercept Jeopardy review game in the form of a PowerPoint show Slope of the Stairs - use this java applet to investigate the concept (written by someone in Japan, please overlook their spelling :-) Another Slope Intercept Jeopardy review game in the form of a PowerPoint show Stressed Out - Slope as Rate of Change Using Slopes and Intercepts - a twenty-nine slide PowerPoint show
Determine the equation of a line using given information including a point and slope, two points, a point and a line parallel or perpendicular, graph, intercepts. 3102.3.21
Express the equation of a line in standard form, slope-intercept, and point-slope form. 3102.3.22	Algebra vs the Cockroaches - determine the slope of the line that cockroaches are crawling along to destroy them Equation of a Line: Slope-Intercept Form - An interactive applet that will help you visualize how changing the values for the slope, m, and the y-intercept, b, will affect the graph of the equation y = mx + b. Slope Intercept Jeopardy review game in the form of a PowerPoint show Another Slope Intercept Jeopardy review game in the form of a PowerPoint show Graphing Linear Equations - an internet project Practice Converting Linear Equations Into Slope Intercept Form - an eleven slide PowerPoint show Slope of the Stairs - use this java applet to investigate the concept (written by someone in Japan, please overlook their spelling :-)
Determine the graph of a linear equation including those that depict contextual situations. 3102.3.23
Interpret the changes in the slope-intercept form and graph of a linear equation by looking at different values of the parameters, m and b. 3102.3.24	Practice from Math.com: The coordinate plane, Slope and y-intercept, and Graphing linear equations. Coordinate Geometry - use this PowerPoint show to teach the concept of ordered pairs [consider changing the text animation] Algebra vs the Cockroaches - determine the slope of the line that cockroaches are crawling along to destroy them Linear Functions, Slope and Regressions - one example is the Kalamazoo Wal-mart Live or Die Scenario Equation of a Line: Slope-Intercept Form - An interactive applet that will help you visualize how changing the values for the slope, m, and the y-intercept, b, will affect the graph of the equation y = mx + b. Slope Intercept Jeopardy review game in the form of a PowerPoint show Another Slope Intercept Jeopardy review game in the form of a PowerPoint show
Find function values using f(x) notation or graphs. 3102.3.25
Graph linear inequalities on the coordinate plane and identify regions of the graph containing ordered pairs in the solution. 3102.3.26	Inequalities Workout - six matching questions at Math.com Practice with Solving Inequalities - six questions with answers in pull down menus [This expired page is brought to you by the Internet archive, the Wayback Machine.] Solving Inequalities: Overview - a three-page lesson from Purple Math
Determine the number of solutions for a system of linear equations (0, 1, or infinitely many solutions). 3102.3.27
Solve systems of linear equations graphically, algebraically, and with technology. 3102.3.28	Linear Equation Solver - You type the equation. The equation solver will solve it for you with an explanation of how the problem was done. Linear Equation Solvers - Practice Linear Equations! Improves your test scores! The Linear Equations Solver Applet - This java applet solves linear equations of two unknown variables. Linear Equation Solver - from Algebra.com Linear Equation Solver - a pop-up window allows users to specify the number of equations Rags to Riches Game - a fun practice for 1-step, 2-step and multi-step equations. The game is similar in nature to "Who Wants to Be a Millionaire" Solving addition and subtraction equations - Try a workout of 10 problems. If you get at least 8 correct on your first attempt, then you're ready to move on. If not, review "In Depth" and try again. Solving Linear Equations - a study guide with several examples Solving Equations with Variables on Both Sides - select a problem and then try it - at Mathbiz.com Word problems that lead to simple linear equations - to be solved, a word problem must be translated into the language of mathematics Systems of Linear Equations - an introduction which considers three situations both algebraically and geometrically
Solve contextual problems involving systems of linear equations or inequalities and interpret solutions in context. 3102.3.29	Solving Simple Linear Equations with Integer Coefficients - practice exercises at Math Pinball Solving More Complicated Linear Equations with Integer Coefficients - practice exercises at Math Pinball
Solve quadratic equations using multiple methods: factoring, graphing, quadratic formula, or square root principle. 3102.3.30
Determine the number of real solutions for a quadratic equation including using the discriminant and its graph. 3102.3.31
Recognize the connection among factors, solutions (roots), zeros of related functions, and x-intercepts in equations that arise from quadratic functions. 3102.3.32
Recognize data that can be modeled by an exponential function. 3102.3.33
Graph exponential functions in the form y = a(bx) where b ? 0. 3102.3.34
Apply growth/decay and simple/compound interest formulas to solve contextual problems. 3102.3.35	�
State Performance Indicators 3.1 | 3.2 | 3.3 | 3.4 | 3.5 | 3.6 | 3.7 | 3.8 | 3.9 | 3.10 | 3.11
Express a generalization of a pattern in various representations including algebraic and function notation. SPI 3102.3.1	Analyzing Numeric and Geometric Patterns of Paper Pool - an activity from Illuminations, the NCTM site. Calculating the nth Term - how to develop a formula that can be used to calculate these terms Multiple-Choice Questions - twenty (20) questions on Patterns & Functions Mystery Operations - the computer makes up a mystery operation, and you have to figure out what the operation is Number Patterns - involving exchange of Valentines
Operate with polynomials and simplify results. SPI 3102.3.2	Interactive Algebra Review - Multiplying Algebraic Expressions Interactive Algebra Review - Solving Polynomial Equations (see also part B of this tutorial) Multiplying Polynomials - a step-by-step explanation from PurpleMath Solving Polynomial Equations - In algebra you spend lots of time solving polynomial equations or factoring polynomials (which is the same thing). This paper ties them all together in a coherent whole.
Factor polynomials. SPI 3102.3.3	Factoring Trinomials - practice exercises at Math Pinball Factoring Trinomials Self Quiz - Check your knowledge about factoring polynomials.
Operate with, evaluate, and simplify rational expressions including determining restrictions on the domain of the variables. SPI 3102.3.4
Write and/or solve linear equations, inequalities, and compound inequalities including those containing absolute value. SPI 3102.3.5	Absolute Value lesson from Purple Math Determining the Sign of Absolute Value Expressions - practice exercises at Math Pinball Simplifying Basic Absolute Value Expressions - practice exercises at Math Pinball Solving Absolute Value Equations - a lesson from Purple Math Solving Simple Linear Equations with Integer Coefficients - practice exercises at Math Pinball Solving More Complicated Linear Equations with Integer Coefficients - practice exercises at Math Pinball
Interpret various relations in multiple representations. SPI 3102.3.6
Determine domain and range of a relation, determine whether a relation is a function and/or evaluate a function at a specified rational value. SPI 3102.3.7	Determine Which Relations are Functions - [9 pages] several relations are presented and then evaluated, steps are shown for each function Inverse Functions and Relations - one page homework assignment Look at Each Relation and Determine if it is a Range - [23 pages] use this in lesson planning - some of the pages could be used for student practice Math Functions, Relations, Domain and Range - explanation posted at the Math Warehouse Relations and Functions - this show covers the vertical line test and using a mapping diagram, followed by several practice exercises [10 useful slides] The Vertical Line Test - The vertical Line test is a way to determine whether or not a relation is a function. (explanation from the Math Warehouse) Which Relations are Functions? - [10 pages - 59 questions] this test is messy but usable
Determine the equation of a line and/or graph a linear equation. SPI 3102.3.8	Equation of a Line: Slope-Intercept Form - An interactive applet that will help you visualize how changing the values for the slope, m, and the y-intercept, b, will affect the graph of the equation y = mx + b. Equation of a line: Slope Intercept Form - Adjust the sliders at the site. They control the slope (m) and the intercept (b) of the line. The equation and the line will change accordingly. You can also drag the origin. Linear Functions Part A: Basics: Slope and Intercept Part B: Finding the Equation of a Line Slope Intercept Form - a way to express the equation of a line - interactive practice followed by practice problems Slope-Intercept Form - [12 slides] this show uses animation very effectively, provides examples and the chance for student response and invludes a great real-world application of slope-intercept Slope Intercept Jeopardy - this show is in Jeopardy format; with five categories each with five questions - good for a while class review Writing Equation of a Line - [short opening promo included] video lesson from YourTeacher.com Writing the Equation of a Line - a 15 slide show with practice problems
Solve systems of linear equation/inequalities in two variables. SPI 3102.3.9
Find the solution of a quadratic equation and/or zeros of a quadratic function. SPI 3102.3.10
Analyze nonlinear graphs including quadratic and exponential functions that model a contextual situation. SPI 3102.3.11
National Library of Virtual Manipulatives	Algebra [Grades 9-12]