Math I
Math I
Quantities, equations, inequalities, expressions, functions, congruence, coordinate geometry, and data.
59 objectives
Objective 061
A-CED.A.1
Create and solve a one-variable linear equation from a short context.
Objective 062
A-CED.2
Create equations in two or more variables, graph them, and label axes/scales appropriately.
Objective 063
A-CED.3
Represent constraints with equations, inequalities, and systems; interpret viable and non-viable solutions in context.
Objective 064
A-CED.4
Rearrange formulas to isolate a chosen quantity and interpret the result.
Objective 065
A-REI.1
Explain equation-solving steps as logical consequences of equality and justify solution methods.
Objective 066
A-REI.10
Understand that a two-variable equation's graph is the set of all ordered-pair solutions.
Objective 067
A-REI.11
Solve equations of the form f(x)=g(x) approximately by finding graph/table intersections.
Objective 068
A-REI.12
Graph linear inequalities and systems of linear inequalities as half-plane solution regions.
Objective 069
A-REI.3
Solve linear equations and inequalities in one variable, including literal linear equations.
Objective 070
A-REI.3.1
Solve and graph one-variable absolute-value equations and inequalities; interpret solutions in context.
Objective 071
A-REI.5
Justify elimination: replacing one equation in a two-variable system with a linear combination preserves solutions.
Objective 072
A-REI.6
Solve systems of two linear equations exactly and approximately using algebraic and graphical methods.
Objective 073
A-SSE.1.a
Interpret terms, factors, and coefficients in linear and exponential expressions.
Objective 074
A-SSE.1.b
Interpret complex expressions by treating meaningful sub-expressions as single units.
Objective 075
F-BF.1.a
Build a function from context by determining an explicit formula, recursive rule, or calculation process.
Objective 076
F-BF.1.b
Combine standard functions using arithmetic operations to build models.
Objective 077
F-BF.2
Write arithmetic and geometric sequences explicitly and recursively; translate between forms and model situations.
Objective 078
F-BF.3
Analyze graph transformations caused by f(x)+k, kf(x), f(kx), and f(x+k); identify even/odd functions.
Objective 079
F-IF.1
Understand functions as mappings from inputs to exactly one output; connect f(x) to graph y=f(x).
Objective 080
F-IF.2
Use function notation, evaluate functions on their domains, and interpret notation in context.
Objective 081
F-IF.3
Recognize sequences, including recursive sequences, as functions whose domains are subsets of integers.
Objective 082
F-IF.4
Interpret and sketch key graph/table features in context: intercepts, intervals, maxima/minima, symmetry, end behavior, and periodicity.
Objective 083
F-IF.5
Relate a function's domain to its graph and to the real-world quantities it describes.
Objective 084
F-IF.6
Calculate, estimate, and interpret average rate of change over an interval.
Objective 085
F-IF.7.a
Graph linear and quadratic functions and show key features such as intercepts, maxima, and minima.
Objective 086
F-IF.7.e
Graph exponential functions and identify intercepts and end behavior; preview logarithmic and trigonometric graph features.
Objective 087
F-IF.9
Compare two functions represented in different ways: equations, graphs, tables, or verbal descriptions.
Objective 088
F-LE.1.a
Distinguish linear from exponential situations by equal differences versus equal factors over equal intervals.
Objective 089
F-LE.1.b
Recognize constant rate of change as evidence for a linear model.
Objective 090
F-LE.1.c
Recognize constant percent growth or decay as evidence for an exponential model.
Objective 091
F-LE.2
Construct linear and exponential functions, including arithmetic/geometric sequences, from graphs, descriptions, or input-output pairs.
Objective 092
F-LE.3
Use graphs/tables to see that exponential growth eventually exceeds linear, quadratic, and polynomial growth.
Objective 093
F-LE.5
Interpret parameters in linear and exponential functions in context.
Objective 094
G-CO.1
Use precise definitions of angle, circle, perpendicular line, parallel line, and line segment from point/line/distance ideas.
Objective 095
G-CO.12
Perform formal constructions with compass/straightedge, paper folding, string, reflective devices, or geometry software.
Objective 096
G-CO.13
Construct an equilateral triangle, square, and regular hexagon inscribed in a circle.
Objective 097
G-CO.2
Represent transformations as functions on points and compare distance/angle-preserving transformations with non-rigid transformations.
Objective 098
G-CO.3
Describe rotations and reflections that carry rectangles, parallelograms, trapezoids, or regular polygons onto themselves.
Objective 099
G-CO.4
Define rotations, reflections, and translations using geometric language: angles, circles, perpendicular/parallel lines, and segments.
Objective 100
G-CO.5
Draw transformed figures and specify transformation sequences mapping one figure to another.
Objective 101
G-CO.6
Use rigid motions to transform figures and decide whether two figures are congruent.
Objective 102
G-CO.7
Use rigid motions to show triangle congruence through corresponding sides and angles.
Objective 103
G-CO.8
Explain ASA, SAS, and SSS triangle congruence criteria from rigid-motion congruence.
Objective 104
G-GPE.4
Use coordinates, distance, and algebra to prove or disprove simple geometric statements.
Objective 105
G-GPE.5
Prove and use slope criteria for parallel and perpendicular lines.
Objective 106
G-GPE.7
Use coordinate methods to compute polygon perimeters and areas of triangles/rectangles.
Objective 107
N-Q.1
Use units to guide multi-step problem solving and choose/interpret units, scales, and graph origins.
Objective 108
N-Q.2
Define appropriate quantities for descriptive modeling.
Objective 109
N-Q.3
Report quantities with accuracy appropriate to measurement limitations.
Objective 110
S-ID.1
Represent one-variable data with dot plots, histograms, and box plots.
Objective 111
S-ID.2
Compare data sets using center and spread measures appropriate to distribution shape.
Objective 112
S-ID.3
Interpret differences in shape, center, spread, and outliers in context.
Objective 113
S-ID.5
Summarize two-category data with two-way tables and interpret joint, marginal, and conditional relative frequencies.
Objective 114
S-ID.6.a
Use scatter plots to represent two quantitative variables and fit functions to model relationships.
Objective 115
S-ID.6.b
Assess model fit informally using residuals.
Objective 116
S-ID.6.c
Fit a linear function to data when a scatter plot suggests a linear association.
Objective 117
S-ID.7
Interpret slope and intercept of a linear model in the data context.
Objective 118
S-ID.8
Use technology to compute and interpret the correlation coefficient of a linear fit.
Objective 119
S-ID.9