McMath Middle School
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 Algerba I Course Content
Overton, MK
 M K Overton
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 Student Expectations: 8th Grade
 Student Expectations: Algebra
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 Algerba I Course Content
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Algebra I Course Content Algebra I Course ContentUnit 1: Equations & InequalitiesStudents will be able to: Solve onevariable equations using the distributive property with and without technology
 Solve equations with variables on both sides of the equation with and without technology
 solve onevariable inequalities using the distributive property with and without technology
 solve inequalities with variables on both sides of the equation with and without technolgy
 evaluate reasonableness of solutions
 solve mathematical and scientific formulas for a specific variable
 solve literal equations for a specific variable
Unit 2A: Representations of FunctionsStudents will be able to: Determine the domain and range of functions in mathematical problems
 Represent domain and range using inequalities
 Determine reasonable domain and range values for realworld situations (including both discrete and continuous)
 Graph functions on the coordinate plane in mathematical and realword problems
 Decide whether relations define a function represented verbally, tabularly, graphically, and symbolically
 Evaluate functions expressed in function notation given some domain values
 Comprehend graphs and equations of transformations in function form
Unit 2B: Slope, Direct Variation & Arithmetic SequencesStudents will be able to: Write equations involving direct variation
 Solve equations involving direct variation
 Represent y = kx in tables, graphs, and equations (proportional)
 Represent y = mx + b in tables, graphs, and equations (linear nonproportional)
 Distinguish between proportional and linear nonproportional situations using tables, graphs, and equations in mathematical and realworld situations
 Use similar right triangles to develop an understanding of slope, where the slope is the same for any two points in a line (8th grade)
 Describe a slope as either positive, negative, zero, or undefined
 Determine the slope: given a table; given a graph; given two points
 Calculate the rate of change in mathematical and realworld problems: given a table; given a graph
 Identify terms of arithmetic sequence (given the recursive rule, find the terms of the sequence)
 Given an arithmetic sequence, write the rule or formula for the nth term
Unit 2C: Forms of Linear Functions, Inequalities & Regressions
Students will be able to: Write linear equations in various forms, including slope intercept, standard, and pointslope form: given 1 point and slope; given 2 point; given a table; given a graph; given a verbal description
 Determine the slope: given a table; given a graph; given two points; given an equation (written in all 3 forms)
 Graph linear functions on a coordinate plane
 Identify key features of linear functions from mathematical and realworld problems, including: xintercept; yintercept; zeros; slope
 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
 Determine the slope of a line when the line is given in various forms to determine parallel or perpendicular
 Write linear inequalities in two variables: given a table of values (and an equation); given a graph; given a verbal description
 Graph the solution set of linear inequalities in two variables on the coordinate plane
 Compare and contrast association and causation in realworld problems
 Write linear functions with technology that provide a reasonable fit to date (line of best fit/regression)
 Write linear functions without technology that provide a reasonable fit to data (line of best fit)
 Estimate solutions and make predictions in real world problems using the line of best fit
 Use the calculator to find the correlation coefficient between two variables
 Interpret the correlation coefficient to determine strength of the relationaship
 Determine the mean absolute deviation of a set of no more than 10 data points
Unit 3: Systems of Equations & Inequalities
Students will be able to: Write systems of two linear equations: given a table of values; given a graph; given a verbal description
 Graph systems of two linear equations and determine the solutions if they exist
 Use the graph to estimate the solutions to systems of two linear equations in realworld problems
 Graph the solution set of systems of two linear inequalities on the coordinate plane
 Solve systems of two linear equations for mathematical and realworld problems (using the most efficient method): substitution; graphing; tables; elimination
 Evaluate solutions to systems of linear equations and inequalities for reasonableness
 Interpret the meaning of the solution(s) to a system of linear equation or inequalities in realworld problems
Unit 4A & 4B: Exponents, Radicals & Exponential Functions
Students will be able to:
 Represent and use real numbers in a variety of forms
 Represent sets and subsets visually (Venn Diagrams) of real numbers
 Describe relationships between sets of real numbers
 Locate irrational numbers (their rational approximation) on a number line
 Convert between standard decimal notation and scientific notation
 Order real numbers arising from mathematical contexts
 Order real numbers arising from realworld contexts
 Solve realworld problems comparing how interest rate and loan length affect the cost of credit
 Compare loans with different interest rates
 Compare loans with different loan lengths
 Calculate the total cost of loans with different interest rates using an online calculator
 Calculate the total cost of loans with different loan lengths using an online calculator
 Explain how continuously investing can grow over time (exponentially)
 Calculate simple interest
 Calculate compound interest
 Compare simple and compound interest
 Identify the advantages and disadvantages of different payment methods (stored value cards, debit cards, and online payment systems)
 Analyze situations to determine if they represent financially responsible decisions
 Identify the benefits of financial responsibility
 Identify the costs of financial irresponsibility
 Outline a financial plan to pay for a twoyear or fouryear college education
 Determine the domain and range of exponential functions
 Represent the domain and range of exponential functions using inequalities
 Interpret the meaning of the values of a and b in exponential functions
 Write exponential functions to describe problems arising from mathematical and realworld situations, including growth and decay
 Graph exponential functions that model growth and decay
 Identify key features of the graphs of exponential functions in mathematical and realworld problems, including: yintercept; asymptote
 Write exponential functions using technology that provide a reasonable fit to date (best fit/regression)
 Make predictions for realworls problems using the function of best fit for exponential relationships
 Simplify numerical radical expressions involving square roots
 Simplify numeric and algebraic expressions using the laws of exponents, including integral (integers) and rational (fractions) exponents: product of a power; power of a power; power of a product; quotient of powers; power of quotients
 Identify terms of geometric sequences (given the recursive rule, find the terms of the sequence)
 Given a geometric sequence, write the rule or formula for the nth term
Unit 4C: Polynomial Operations & Factoring
Students will be able to:
 add and subtract polynomials of degree one and degree two
 multiply polynomials of degree one and degree two
 determine the quotient of a polynomial using long division
 rewrite polynomial expressions of degree one and degree two in equivalent formd using the distributive property
 Factor quadratic polynomials (including difference of two squares
 Identify if a binomial is the difference of two squares
Unit 5A: Graphing Quadratic Functions
Students will be able to: Determine the domain and range of quadratic functions
 Represent the domain and range of quadratic functions using inequalities
 Write the equation of a quadratic function: given the vertex and another point; in vertex form; from vertex form to standard form; when given real solutions; when given a graph
 Rewrite polynomial expressions of degree one and degree two in equivalent forms using the distributive property
 Graph quadratic functions on the coordinate plane
 Identify key attributes of the graph of quadratics, including: xintercept; yintercept; zeros; maximum value; minimum value; vertex; the equation of the axis of symmetry
 Determine the effects on the graph of the parent function
 Write quadratic functions using technology that provide a reasonable fit to data (best fit/regression)
 Make predictions for realworld problems using the function of best fit for quadratic relationships
Unit 5B: Solving Quadratic Functions
Students will be able to: Describe the relationship between the linear factors of quadratic expressions and the zeros
 Identify if a binomial is the difference of two squares
 Factor quadratic polynomials including difference of two squares
 Solve quadratic equations having real solutions by: graphing; factoring (if possible); taking square roots; completing the square; applying the quadratic formula
 Evaluate the solutions to quadratic equations for reasonableness
Unit 6: Graphs & Statistics
Students will be able to: Construct representations of real world data
 Compare distributions of data, commenting on similarities and differences
 Use box plots to summarize data
 Use the mean and standard deviation to fit normal distributions
 Use technology to estimate the percentages under the normal curve
 Interpret the slope of the line of best fit in the context of the data
 Distinguish between scatterplots that show a linear relationship and those where the relationship is not linear
 Summarize bivariate categorical data in a twoway frequency table
 Interpret frequencies and relative frequencies in twoway tables
 Recognize and describe patterns of association in twoway tables
Unit: Math 8
Students will be able to: Compare and contrast the attributes of a shape and its dilation on a coordinate plane
 Use an algebraic representation to explain the effects of a scale factor applied to a twodimensional figure on a coordinate palne
 Identify angle pairs and relationships when parallel lines are cut by a transversal
 Solve problems and determine the measures of angles formed by parallel lines and transversals using equations with one variable
 Solve problems involving interior and exterio angles of triangles using equations with one variable
 Solve problems involving sums of angles using equations with one variable
 Recognize translations, rotations, reflections, and dilations in models
 Determine the effect of transformations on twodimensional figures on a coordinate plane
 Differentiate transformations that preserve congruence and those that do not
 Explain the effects of translations to twodimensional shapes on a coordinate plane using algebraic representations
 Explain the effects of rotations to twodimensional shapes on a coordinate plane using algebraic representations
 Model the effect on linear (perimeter/circumference) and area measurements of dilated twodimensional shapes
 Make connections to geometric formulas
 Describe the volume formula, V = Bh, of a cylinder in terms of its base area and height
 Model the relationship between the volume of a cylinder and a cone having the same base area and height
 Solve problems involving the volume of cylinders, cones, and spheres
 Solve surface area problems (lateral and total) involving rectangular prisms, triangular prisms, and cylinders
 Use previous knowledge of surface area to make connections to the formulas for lateral and total surface areas of rectangular prisms, triangular prisms, and cylinders
 Use models and diagrams to explain the Pythagorean Theorem
 Use the Pythagorean Theorem to solve problems
 Use the converse of the Pythagorean Theorem to determine if a triangle is a right triangle
 Determine the distance between two points on a coordinate plane using the Pythagorean Theorem
Last Modified on August 12, 2018