Our Algebra 1 Lessons for
Grade Students
Algebra 1 Scope and Sequence
| Unit Title | Students will be able to: | Suggested Activities |
|---|---|---|
| Unit 1 Intro to Linear Functions | Determine the slope of a line given a table of values, the coordinates of two points on the line, or an equation in slope-intercept form. Write and solve equations involving direct variation. Write linear equations in slope-intercept form given a table of values or a verbal description. Decide whether relations represented verbally, tabularly, graphically, and symbolically define a function. Evaluate functions, expressed in function notation, given one or more elements in their domains. Determine the domain and range of a linear function in mathematical problems, and represent domain and range using inequalities. Determine reasonable domain and range values for real-world situations, both continuous and discrete. | Models, Models Bouncing Ball Mathman on the Slopes Walk It! The Concorde and a Bike Race Guess My Coefficient The Prom Project Slope-Intercept in Real Life This is the Way We Vary |
| Unit 2 Graphs of Linear Functions | Graph linear functions on the coordinate plane and identify key features, including x-intercept, y-intercept, zeros, and slope, in mathematical and real-world problems. Given the equation of a line, write its equation. Determine the effects on the graph of the parent function f(x) = x when f(x) is replaced by af(x), f(x) + d, f(x - c), f(bx) for specific values of a, b, c, and d. Calculate the rate of change of a linear function represented tabularly, graphically, or algebraically in the context of mathematical and real-world problems. | As Time Goes By The Wave Representing Functions Shark Attack |
| Unit 3 Equations of Linear Functions | Solve linear equations in one variable, including those for which the application of the distributive property is necessary and for which variables are included on both sides. Write linear equations in two variables in various forms, including y = mx + b, Ax + By = C, and y - y1 = m(x - x1), given one point and the slope and given two points. Determine the slope of a line given a graph or an equation written in various forms, including Ax + By = C, and y - y1 = m(x - x1). Write the equation of a line that contains a given point and is parallel to a given line. Write the equation of a line that contains a given point and is perpendicular to a given line. Write an equation of a line that is parallel or perpendicular to the X or Y axis and determine whether the slope of the line is zero or undefined. | Oh, The Pressure! Points, Lines, and Slopes - Oh My! Linear Functions Here and There Linear Equations Art Project |
| Unit 4 Systems of Linear Functions | Write systems of two linear equations given a table of values, a graph, or a verbal description. Graph systems of two linear equations in two variables on the coordinate plane and determine the solutions if they exist. Estimate graphically the solutions to systems of two linear equations with two variables in real-world problems. Solve systems of two linear equations with two variables for mathematical and real-world problems. | How You Gonna Call? Ready Copy How Many Solutions to a System? Understanding Solutions of Systems Let’s Be Systematic |
| Unit 5 Inequalities & Literal Equations | Solve linear inequalities in one variable, including those for which the application of the distributive property is necessary and for which variables are included on both sides. Write linear inequalities in two variables given a table of values, a graph, or a verbal description. Graph the solution set of systems of two linear inequalities in two variables on the coordinate plane. Solve mathematic and scientific formulas, and other literal equations, for a specified variable. | Applications of Linear Inequalities One Variable Linear Inequalities Inequalities Foldable/Scavenger Hunt Working Teen Literal Equations Practice |
| Unit 6 Statistical Relationships | Calculate, using technology, the correlation coefficient between two quantitative variables and interpret this quantity as a measure of the strength of the linear association. Compare and contrast association and causation in real-world problems. Write, with and without technology, linear functions that provide a reasonable fit to data to estimate solutions and make predictions for real-world problems. | Monopoly and Line of Best Fit Trashcan Bball and Line of Best Fit Correlation Investigation Correlation Practice |
| Unit 7 Polynomials | Add and subtract polynomials of degree one and degree two. Multiply polynomials of degree one and degree two. Divide polynomials of degree one and two. Rewrite polynomial expressions of degree one and degree two in equivalent forms using the distributive property; Factor, if possible, trinomials with real factors in the form ax2 + bx + c, including perfect square trinomials of degree two. Decide if a binomial can be written as the difference of two squares and, if possible, rewrite the binomial as two factors. | Multiplying - Box Method Factoring - Box Method Number Tricks Operations With Polynomials Scavenger Hunt |
| Unit 8 Sequences | Identify terms of arithmetic and geometric sequences when the sequences are given in recursive or explicit form. Write a formula for the nth term of arithmetic and geometric sequences, given the value of several of their terms. | Introduction to Arithmetic and Geometric Sequences Generating Sequences Numerically Arithmetic and Geometric Sequences Maze Sequences Scavenger Hunt Sequences Practice - Mixed |
| Unit 9 Radical & Exponential Expressions | Simplify numeric and algebraic expressions using the laws of exponents, including integral and rational exponents. Simplify numerical radical expressions involving square roots. | Exponent Rules Investigation Exponent Rules Calculator Exploration Exponent Rules Puzzle Negative Exponents Number Line Game Simplifying Rational Exponents Error Detection Simplifying Radicals Maze |
| Unit 10 Quadratic Functions | Determine the domain and range of quadratic functions and represent the domain and range using inequalities;
Write equations of quadratic functions given the vertex and another point on the graph, write the equation in vertex form (f(x) = a(x - h)2+ k), and rewrite the equation from vertex form to standard form (f(x) = ax2+ bx + c.)
Write quadratic functions when given real solutions and graphs of their related equations. Graph quadratic functions on the coordinate plane and use the graph to identify key attributes, if possible, including x-intercept, y-intercept, zeros, maximum value, minimum values, vertex, and the equation of the axis of symmetry. Describe the relationship between the linear factors of quadratic expressions and the zeros of their associated quadratic functions. Determine the effects on the graph of the parent function f(x) = x2 when f(x) is replaced by af(x), f(x) + d, f(x - c), f(bx) for specific values of a, b, c, and d. Solve quadratic equations having real solutions by factoring, taking square roots, completing the square, and applying the quadratic formula. Write, using technology, quadratic functions that provide a reasonable fit to data to estimate solutions and make predictions for real-world problems. | What Goes Up Must Come Down Getting to Know Parabolas Ball Toss Graphing Quadratic Functions Manual Fit – Parabolas Quadratic Graphs 3 Forms Rectangles and Quadratics Applications of Quadratic Functions |
| Unit 11 Exponential Functions | Determine the domain and range of exponential functions of the form f(x) = abx and represent the domain and range using inequalities. Interpret the meaning of the values of a and b in exponential functions of the form f(x) = abx in real-world problems. Write exponential functions in the form f(x) = abx (where b is a rational number) to describe problems arising from mathematical and real-world situations, including growth and decay. Graph exponential functions that model growth and decay and identify key features, including y-intercept and asymptote, in mathematical and real-world problems. Write, using technology, exponential functions that provide a reasonable fit to data and make predictions for real-world problems. | Growing Money, Shrinking Value Last Man Standing Spreading Doom Do You Want to Be a Millionaire? Exponential Functions Matching Game |