Download Scatter Plots and Line of Best Fit

Algebra I 8th Grade Curriculum Map
First Nine Weeks
Solve Equations and Inequalities
A-REI.1
Solve equations and justify steps to the solution using mathematical properties.
A-REI.3
Solve linear equations and inequalities with one variable. Includes letter coefficients.
8.EE.7a.
b.
Give examples of linear equations with one, no, or infinite solutions.
Solve linear equations (with rational coefficients and including multi-step).
A-CED.4
Solve literal equations and formulas for a specific variable.
A-SSE.1a.
b.
Interpret parts of expressions – such as terms, factors, coefficients.
Interpret complicated expressions by explaining meaning of parts.
Graphing Equations and Functions
8.EE.5
Graph proportional relationships. Interpret unit rate as slope.
Compare proportional relationships represented in different ways.
8.EE.6
Use similar triangles to explain equivalent slope values between any 2 points on a line.
Derive y = mx and y= mx+b.
8.F.3*
Interpret y=mx+b as linear.
8.F.4
Construct a function to model a linear relationship.
Find slope and y-intercept from 2 points, a table, or a graph.
Interpret slope and y-intercept in terms of a situation it models.
F-IF.6
Find average rate of change from a table or symbolically.
Estimate rate of change from a graph.
A-REI.10*
Understand that points on a graph are solutions to the corresponding equation.
A-CED.1*
Write and use equations and inequalities in one variable to model and solve problems.
Linear functions
A-CED.2*
Write equations in two or more variables to represent relationships that exist between
quantities.
Graph the equation with appropriate labels and scales.
Linear equations
8.F.1
Understand function is a rule that assigns to each input exactly one output.
Understand the graph of a function.
8.F.2
Compare properties of two functions each represented in a different way.
(algebraic, table, graph, verbal description)
F-IF.1
Understand definition of a function.
Understand domain and range.
F-IF.2*
Use function notation.
Evaluate functions for inputs.
F-IF.4*
Given a function, identify key features in graphs and tables.
Given key features, sketch a graph.
F-IF.5
Identify domain from a graph. Identify restrictions based on relationship it describes.
F-LE.5
Interpret parameters in a linear function in terms of a context.
F-BF.1a.
b.
Write a function to model a relationship between two quantities.
Combine standard function types using addition or subtraction.
F-BF.3
Use technology to identify effects on a graph of a function when the function is altered.
Identify changes made to a function given graph of original and new.
Recognize even and odd functions.
8.F.5
Describe qualitatively the functional relationship between 2 quantities from a graph.
Sketch the graph of a function by features described verbally.
F-IF.7 a.*
Graph linear functions. Show key features. Graph by hand and using technology.
F-IF.9
Compare key features of two functions represented different ways.
Use tables, graphs, equations.
Arithmetic Sequences
F-IF.3*
Recognize arithmetic sequences as linear functions.
F-BF.2*
Write arithmetic sequences.
Translate between recursive and explicit forms. Use both forms to model a situation.
Second Nine Weeks
Scatter Plots and Line of Best Fit
8.SP.1
Construct and interpret scatter plots.
Describe patterns such as clustering, outliers, linear, nonlinear, positive and negative
association.
8.SP.2
Understand and construct a line of best fit.
Understand strong and weak correlation.
8.SP.3
Use line of best fit to solve problems. Interpret meaning of slope and y-intercept.
8.SP.4
Construct and interpret two-way tables used to display bivariate data.
Use relative frequencies to describe possible associations between two variables.
S-ID.5
Summarize data in two-way frequency tables.
Interpret relative frequencies.
Recognize possible trends and associations.
S-ID.6* a.
b.
c.
Draw scatter plots. Fit functions to data for linear models.
Determine goodness of fit.
Find a function for line of best fit.
S-ID.7
Interpret slope and y-intercept in context of data.
S-ID.8
Use calculator to find and interpret correlation coefficient.
S-ID.9
Distinguish between correlation and causation.
Systems of Equations and Inequalities
8.EE.8a.
b.
c.
Understand solution of a system of two linear equations by graphing.
Solve a system of linear equations algebraically and estimate solutions by graphing.
Solve real-world and mathematical problems by graphing a system of equations.
A-REI.5
Solve systems of linear equations using elimination and substitution.
A-REI.6
Solve systems of linear equations exactly. Approximate solutions using graphs.
A-REI.11*
Explain why the intersection of the graph of a system is its solution.
Find solutions using technology, tables, or successive approximations.
A-REI.12
Graph linear inequalities and systems of linear inequalities.
Understand context of boundary line and when included or not included in solution set.
Rational and Irrational Numbers
8.NS.1
Understand the difference between rational and irrational numbers.
Convert repeating decimals to fractions.
8.NS.2
Compare and order rational and irrational numbers. Estimate square roots.
Radicals and Exponents
8.EE.1
Know and apply properties of integer exponents.
8.EE.2
Use square roots and cube roots to solve equations.
Know roots of perfect squares, perfect cubes, and that √2 is irrational.
8.EE.3
Integer powers of 10 – Use scientific notation.
8.EE.4
Operations with scientific notation.
Choose appropriate units for size measurements.
Interpret scientific notation on calculator.
N-RN.1
Understand rational exponents and justify (51/2)2 = 5
N-RN.2
Convert between radicals and rational exponents.
Pythagorean Theorem, Distance, and Midpoint
8.G.6
Explain a proof of Pythagorean Theorem and its converse.
8.G.7
Apply Pythagorean Theorem to solve real-world and mathematical problems in two and
three dimensions.
8.G.8
Apply Pythagorean Theorem to find distance between two points.
G-GPE.6
Find midpoint of a line segment.
G-GPE.7
Find perimeter and area on coordinate plane.
Use distance, midpoint, and Pythagorean Theorem.
Third Nine Weeks
Polynomials and Quadratics
A-APR.1
Add, subtract, and multiply polynomials. Understand the closure property.
A-SSE.2
Rewrite expressions in equivalent forms by factoring, combining like terms, etc.
A-SSE.3a.
Factor a quadratic expression to find zeros.
Explain the meaning of zeros including graphically.
F-IF.4*
Given a function, identify key features in graphs and tables.
Given key features, sketch a graph.
F-IF-7a.*
Graph quadratic functions. Graph by hand and using technology.
Show intercepts, maximums, and minimums.
F-IF.8 a.
Manipulate functions to show zeros, extreme values, and symmetries.
Factor and complete the square to find special properties of a function.
F-IF.9 *
Compare key features of two functions represented different ways.
Use tables, graphs, equations
A-CED.2*
Write equations in two or more variables to represent relationships that exist between
quantities.
Graph the equation with appropriate labels and scales.
Quadratic equations
Exponentials
F-LE.1
a.
b.
c.
Distinguish between situations that can be modeled by linear and exponential functions.
Prove linear functions change at same rate and exponential functions change by equal
factors.
Recognize situations in which one quantity changes at a constant rate relative to
another.
Recognize situations involving percent of change per unit interval re: growth or decay.
F-LE.2
Write exponential functions using graphs, tables, and geometric sequences.
F-LE.3
Understand that exponential functions eventually exceed other types of functions.
F-LE.5
Interpret parameters in an exponential function in terms of a context.
F-IF.2*
Use function notation.
Evaluate functions for inputs.
Exponential functions
F-IF.4 *
Given a function, identify key features in graphs and tables.
Given key features, sketch a graph.
F-IF.7e.
Graph exponential functions, showing intercepts and end behavior.
A-REI.10*
Understand that points on a graph are solutions to the corresponding equation.
A-REI.11*
Explain why the intersection of the graph of a system is its solution.
Find solutions using technology, tables, or successive approximations.
F-IF.8 b.
Use properties of exponents to interpret expressions for exponential functions.
F-IF.9
Compare key features of two functions represented different ways.
Use tables, graphs, equations.
A-CED.1*
Write and use equations and inequalities in one variable to model and solve problems.
Exponential functions
A-CED.2*
Write equations in two or more variables to represent relationships that exist between
quantities.
Graph the equation with appropriate labels and scales.
Exponential equations
8.F.3*
Interpret y=mx+b as linear. Give examples of functions that are nonlinear.
S-ID.6* a.
Draw scatter plots. Fit functions to data for exponential models.
b.
Determine goodness of fit.
c.
Find a function for line of best fit.
Geometric Sequences
F-IF.3*
Recognize that geometric sequences are examples of exponential functions.
F-BF.2*
Write geometric sequences.
Translate between recursive and explicit forms. Use both forms to model a situation.
Fourth Nine Weeks
Geometry
8.G.1
a.
b.
c.
Verify experimentally properties of rotations, reflections, and transformations.
Lines
Angles
Parallel lines
8.G.2
Understand congruence as related to rotations, reflections, and transformations.
8.G.3
Describe effects of dilations, reflections, rotations, transformations using coordinates.
8.G.4
Understand similarity and dilations, rotations, reflections, and transformations.
8.G.5
Use informal arguments to establish facts about angle sum and exterior angles of
triangles, angles formed by parallel lines cut by a transversal, and angle-angle criterion
for similar triangles.
G-CO.1
Know definitions of angle, circle, parallel line, perpendicular line, and line segment.
G-GPE.4
Use coordinates to prove simple geometric theorems algebraically.
(Use slope and distance formulas to prove that points create specific geometric figures.)
G-GPE.5
Prove slope criteria for parallel and perpendicular lines and use to solve problems.
8.G.9
Know and use formulas for cones, cylinders, and spheres to solve problems.
G-GMD.1
Make informal arguments regarding formulas for:
 Circumference of a circle
 Area of a circle
 Volume of a cylinder, pyramid, cone
G-GMD.3
Use volume formulas to solve problems - cylinders, pyramids, cones, and spheres.
Statistics
S-ID.1
Represent data using dot plot, histogram, box plot.
S-ID.2
Use measures of central tendency.
 Mean
 Standard Deviation
 Median
 Interquartile Range
S-ID.3
Interpret differences and effects on measures of center based on context and possible
outliers.
Throughout year
N-Q.1
Interpret, choose, and use units appropriately in problem-solving.
N-Q.2
Determine and interpret appropriate quantities for descriptive modeling.
N-Q.3
Determine level of accuracy appropriate to limitations on measurement.
A-CED.3
Write and solve equations, inequalities, or systems to solve real-world problems.
Understand they represent constraints of the problem.
Describe the best solution and understand solutions that don’t make sense in the
context of the problem.