21st Century Mathematics

M.O.A1.2: Through communication, representation, reasoning and proof, problem solving, and making connections within and beyond the field of mathematics, students will demonstrate understanding of patterns, relations and functions, represent and analyze mathematical situations and structures using algebraic symbols, use mathematical models to represent and understand quantitative relationships, and analyze change in various contexts.

M.O.A1.2.1: formulate algebraic expressions for use in equations and inequalities that require planning to accurately model real-world problems.

Linear Inequalities in Two Variables

M.O.A1.2.2: create and solve multi-step linear equations, absolute value equations, and linear inequalities in one variable, (with and without technology); apply skills toward solving practical problems such as distance, mixtures or motion and judge the reasonableness of solutions.

Absolute Value Equations and Inequalities

Absolute Value with Linear Functions

Compound Inequalities

Exploring Linear Inequalities in One Variable

Linear Inequalities in Two Variables

Modeling and Solving Two-Step Equations

Solving Algebraic Equations II

Solving Equations by Graphing Each Side

Solving Linear Inequalities in One Variable

Solving Two-Step Equations

Standard Form of a Line

Systems of Linear Inequalities (Slope-intercept form)

M.O.A1.2.3: evaluate data provided, given a real-world situation, select an appropriate literal equation and solve for a needed variable.

Box-and-Whisker Plots

Estimating Population Size

M.O.A1.2.4: develop and test hypotheses to derive the laws of exponents and use them to perform operations on expressions with integral exponents.

Dividing Exponential Expressions

Multiplying Exponential Expressions

M.O.A1.2.5: analyze a given set of data and prove the existence of a pattern numerically, algebraically and graphically, write equations from the patterns and make inferences and predictions based on observing the pattern.

Arithmetic Sequences

Arithmetic and Geometric Sequences

Geometric Sequences

M.O.A1.2.7: analyze situations and solve problems by determining the equation of a line given a graph of a line, two points on the line, the slope and a point, or the slope and y intercept.

Point-Slope Form of a Line

Points, Lines, and Equations

Slope

Slope-Intercept Form of a Line

Standard Form of a Line

M.O.A1.2.8: identify a real life situation that involves a constant rate of change; pose a question; make a hypothesis as to the answer; develop, justify, and implement a method to collect, organize, and analyze related data; extend the nature of collected, discrete data to that of a continuous linear function that describes the known data set; generalize the results to make a conclusion; compare the hypothesis and the conclusion; present the project numerically, analytically, graphically and verbally using the predictive and analytic tools of algebra (with and without technology).

Compound Interest

Dilations

Direct and Inverse Variation

Trends in Scatter Plots

M.O.A1.2.9: create and solve systems of linear equations graphically and numerically using the elimination method and the substitution method, given a real-world situation.

Cat and Mouse (Modeling with Linear Systems)

Solving Equations by Graphing Each Side

Solving Linear Systems (Matrices and Special Solutions)

Solving Linear Systems (Standard Form)

M.O.A1.2.10: simplify and evaluate algebraic expressions

M.O.A1.2.10.a: add and subtract polynomials

Addition and Subtraction of Functions

Addition of Polynomials

M.O.A1.2.10.b: multiply and divide binomials by binomials or monomials

Dividing Polynomials Using Synthetic Division

M.O.A1.2.12: use area models and graphical representations to develop and explain appropriate methods of factoring.

Modeling the Factorization of *ax*^{2}+*bx*+*c*

Modeling the Factorization of *x*^{2}+*bx*+*c*

M.O.A1.2.13: simplify radical expressions

M.O.A1.2.13.a: through adding, subtracting, multiplying and dividing

Operations with Radical Expressions

Simplifying Radical Expressions

M.O.A1.2.14: choose the most efficient method to solve quadratic equations by graphing (with and without technology), factoring quadratic formula and draw reasonable conclusions about a situation being modeled.

Modeling the Factorization of *x*^{2}+*bx*+*c*

Quadratics in Factored Form

Quadratics in Polynomial Form

Quadratics in Vertex Form

Roots of a Quadratic

M.O.A1.2.15: describe real life situations involving exponential growth and decay equations including y=2 to the x power and y=(½) to the x power; compare the equation with attributes of an associated table and graph to demonstrate an understanding of their interrelationship.

M.O.A1.2.17: perform a linear regression (with and without technology),

M.O.A1.2.17.a: compare and evaluate methods of fitting lines to data.

M.O.A1.2.17.b: identify the equation for the line of regression,

Correlation

Least-Squares Best Fit Lines

Solving Using Trend Lines

M.O.A1.2.17.c: examine the correlation coefficient to determine how well the line fits the data

Correlation

Least-Squares Best Fit Lines

Solving Using Trend Lines

M.O.A1.2.17.d: use the equation to predict specific values of a variable.

Correlation

Least-Squares Best Fit Lines

Solving Using Trend Lines

M.O.A1.2.19: gather data to create histograms, box plots, scatter plots and normal distribution curves and use them to draw and support conclusions about the data.

Correlation

Describing Data Using Statistics

Histograms

Polling: City

Real-Time Histogram

Stem-and-Leaf Plots

M.O.A1.2.20: design experiments to model and solve problems using the concepts of sample space and probability distribution.

Correlation last revised: 4/4/2018

This correlation lists the recommended Gizmos for this state's curriculum standards. Click any Gizmo title below for more information.