M1.A: Algebra

M1.A.SSE: Seeing Structure in Expressions

M1.A.SSE.A: Interpret the structure of expressions.

M1.A.SSE.A.1: Interpret expressions that represent a quantity in terms of its context.

M1.A.SSE.A.1.a: Interpret parts of an expression, such as terms, factors, and coefficients.

Compound Interest
Operations with Radical Expressions
Simplifying Algebraic Expressions I
Simplifying Algebraic Expressions II

M1.A.SSE.A.1.b: Interpret complicated expressions by viewing one or more of their parts as a single entity.

Compound Interest
Simplifying Algebraic Expressions I
Simplifying Algebraic Expressions II

M1.A.SSE.B: Write expressions in equivalent forms to solve problems.

M1.A.SSE.B.2: Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.

M1.A.SSE.B.2.a: Use the properties of exponents to rewrite exponential expressions.

Dividing Exponential Expressions
Exponents and Power Rules
Multiplying Exponential Expressions
Simplifying Algebraic Expressions II

M1.A.CED: Creating Equations

M1.A.CED.A: Create equations that describe numbers or relationships.

M1.A.CED.A.1: Create equations and inequalities in one variable and use them to solve problems.

Absolute Value Equations and Inequalities
Arithmetic Sequences
Exploring Linear Inequalities in One Variable
Geometric Sequences
Linear Inequalities in Two Variables
Modeling One-Step Equations
Modeling and Solving Two-Step Equations
Solving Equations on the Number Line
Solving Linear Inequalities in One Variable
Solving Two-Step Equations
Using Algebraic Equations

M1.A.CED.A.2: Create equations in two or more variables to represent relationships between quantities; graph equations with two variables on coordinate axes with labels and scales.

Absolute Value Equations and Inequalities
Circles
Linear Functions
Point-Slope Form of a Line
Points, Lines, and Equations
Quadratics in Polynomial Form
Quadratics in Vertex Form
Solving Equations on the Number Line
Standard Form of a Line
Using Algebraic Equations

M1.A.CED.A.3: Represent constraints by equations or inequalities and by systems of equations and/or inequalities, and interpret solutions as viable or nonviable options in a modeling context.

Linear Inequalities in Two Variables
Linear Programming
Solving Linear Systems (Standard Form)
Systems of Linear Inequalities (Slope-intercept form)

M1.A.CED.A.4: Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations.

Area of Triangles
Solving Formulas for any Variable

M1.A.REI: Reasoning with Equations and Inequalities

M1.A.REI.A: Solve equations and inequalities in one variable.

M1.A.REI.A.1: Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.

Area of Triangles
Compound Inequalities
Exploring Linear Inequalities in One Variable
Linear Inequalities in Two Variables
Modeling One-Step Equations
Modeling and Solving Two-Step Equations
Solving Algebraic Equations II
Solving Equations on the Number Line
Solving Formulas for any Variable
Solving Linear Inequalities in One Variable
Solving Two-Step Equations

M1.A.REI.B: Solve systems of equations.

M1.A.REI.B.2: Write and solve a system of linear equations in context.

Cat and Mouse (Modeling with Linear Systems)
Solving Linear Systems (Matrices and Special Solutions)
Solving Linear Systems (Slope-Intercept Form)
Solving Linear Systems (Standard Form)

M1.A.REI.C: Represent and solve equations and inequalities graphically.

M1.A.REI.C.3: Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line).

Absolute Value Equations and Inequalities
Circles
Parabolas
Point-Slope Form of a Line
Points, Lines, and Equations
Standard Form of a Line

M1.A.REI.C.4: Explain why the x-coordinates of the points where the graphs of the equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) = g(x); find the approximate solutions using technology.

Cat and Mouse (Modeling with Linear Systems)
Point-Slope Form of a Line
Solving Equations by Graphing Each Side
Solving Linear Systems (Matrices and Special Solutions)
Solving Linear Systems (Slope-Intercept Form)
Standard Form of a Line

M1.A.REI.C.5: Graph the solutions to a linear inequality in two variables as a half-plane (excluding the boundary in the case of a strict inequality), and graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes.

Linear Inequalities in Two Variables
Linear Programming
Systems of Linear Inequalities (Slope-intercept form)

M1.F: Functions

M1.F.IF: Interpreting Functions

M1.F.IF.A: Understand the concept of a function and use function notation.

M1.F.IF.A.1: Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. If f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. The graph of f is the graph of the equation y = f(x).

Absolute Value with Linear Functions
Exponential Functions
Introduction to Exponential Functions
Introduction to Functions
Linear Functions
Logarithmic Functions
Parabolas
Point-Slope Form of a Line
Points, Lines, and Equations
Quadratics in Factored Form
Quadratics in Polynomial Form
Quadratics in Vertex Form
Radical Functions
Standard Form of a Line

M1.F.IF.B: Interpret functions that arise in applications in terms of the context.

M1.F.IF.B.3: For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship.

Absolute Value with Linear Functions
Exponential Functions
General Form of a Rational Function
Graphs of Polynomial Functions
Logarithmic Functions
Quadratics in Factored Form
Quadratics in Polynomial Form
Quadratics in Vertex Form
Radical Functions

M1.F.IF.B.4: Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes.

Introduction to Functions
Logarithmic Functions
Radical Functions

M1.F.IF.B.5: Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph.

Cat and Mouse (Modeling with Linear Systems)
Slope

M1.F.IF.C: Analyze functions using different representations.

M1.F.IF.C.6: Graph functions expressed symbolically and show key features of the graph, by hand and using technology.

M1.F.IF.C.6.a: Graph linear functions and show its intercepts.

Absolute Value with Linear Functions
Cat and Mouse (Modeling with Linear Systems)
Exponential Functions
Linear Functions
Point-Slope Form of a Line
Points, Lines, and Equations
Slope-Intercept Form of a Line
Standard Form of a Line

M1.F.IF.C.7: Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions).

General Form of a Rational Function
Graphs of Polynomial Functions
Linear Functions
Logarithmic Functions
Quadratics in Polynomial Form
Quadratics in Vertex Form

M1.F.BF: Building Functions

M1.F.BF.A: Build a function that models a relationship between two quantities.

M1.F.BF.A.1: Write a function that describes a relationship between two quantities.

M1.F.BF.A.1.a: Determine an explicit expression, a recursive process, or steps for calculation from a context.

Arithmetic Sequences
Arithmetic and Geometric Sequences
Geometric Sequences

M1.F.BF.A.2: Write arithmetic and geometric sequences with an explicit formula and use them to model situations.

Arithmetic Sequences
Arithmetic and Geometric Sequences
Geometric Sequences

M1.F.LE: Linear and Exponential Models

M1.F.LE.A: Construct and compare linear and exponential models and solve problems.

M1.F.LE.A.1: Distinguish between situations that can be modeled with linear functions and with exponential functions.

M1.F.LE.A.1.a: Recognize that linear functions grow by equal differences over equal intervals and that exponential functions grow by equal factors over equal intervals.

Compound Interest
Direct and Inverse Variation
Exponential Functions
Introduction to Exponential Functions
Slope-Intercept Form of a Line

M1.F.LE.A.1.b: Recognize situations in which one quantity changes at a constant rate per unit interval relative to another.

Arithmetic Sequences
Compound Interest
Direct and Inverse Variation
Linear Functions
Slope-Intercept Form of a Line

M1.F.LE.A.1.c: Recognize situations in which a quantity grows or decays by a constant factor per unit interval relative to another.

Compound Interest

M1.F.LE.A.2: Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a table, a description of a relationship, or input-output pairs.

Absolute Value with Linear Functions
Arithmetic Sequences
Arithmetic and Geometric Sequences
Compound Interest
Exponential Functions
Geometric Sequences
Introduction to Exponential Functions
Linear Functions
Logarithmic Functions
Point-Slope Form of a Line
Points, Lines, and Equations
Slope-Intercept Form of a Line
Standard Form of a Line

M1.F.LE.A.3: Observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly.

Compound Interest
Introduction to Exponential Functions

M1.F.LE.B: Interpret expressions for functions in terms of the situation they model.

M1.F.LE.B.4: Interpret the parameters in a linear or exponential function in terms of a context.

Arithmetic Sequences
Compound Interest
Introduction to Exponential Functions

M1.G: Geometry

M1.G.CO: Congruence

M1.G.CO.A: Experiment with transformations in the plane.

M1.G.CO.A.1: Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, plane, distance along a line, and distance around a circular arc.

Circles
Inscribed Angles
Parallel, Intersecting, and Skew Lines

M1.G.CO.A.2: Represent transformations in the plane in multiple ways, including technology. Describe transformations as functions that take points in the plane (pre-image) as inputs and give other points (image) as outputs. Compare transformations that preserve distance and angle measure to those that do not (e.g., translation versus horizontal stretch).

Dilations
Rotations, Reflections, and Translations
Translations

M1.G.CO.A.3: Given a rectangle, parallelogram, trapezoid, or regular polygon, describe the rotations and reflections that carry the shape onto itself.

Reflections
Rotations, Reflections, and Translations
Similar Figures

M1.G.CO.A.4: Develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel lines, and line segments.

Circles
Rotations, Reflections, and Translations
Similar Figures
Translations

M1.G.CO.A.5: Given a geometric figure and a rigid motion, draw the image of the figure in multiple ways, including technology. Specify a sequence of rigid motions that will carry a given figure onto another.

Dilations
Reflections
Rotations, Reflections, and Translations
Translations

M1.G.CO.B: Understand congruence in terms of rigid motions.

M1.G.CO.B.6: Use geometric descriptions of rigid motions to transform figures and to predict the effect of a given rigid motion on a given figure; given two figures, use the definition of congruence in terms of rigid motions to determine informally if they are congruent.

Absolute Value with Linear Functions
Circles
Dilations
Holiday Snowflake Designer
Reflections
Rotations, Reflections, and Translations
Similar Figures
Translations

M1.G.CO.C: Prove geometric theorems.

M1.G.CO.C.9: Prove theorems about lines and angles.

Investigating Angle Theorems

M1.G.CO.C.10: Prove theorems about triangles.

Isosceles and Equilateral Triangles
Triangle Angle Sum
Triangle Inequalities

M1.G.CO.C.11: Prove theorems about parallelograms.

Parallelogram Conditions
Special Parallelograms

M1.S: Statistics and Probability

M1.S.ID: Interpreting Categorical and Quantitative Data

M1.S.ID.A: Summarize, represent, and interpret data on a single count or measurement variable.

M1.S.ID.A.1: Represent single or multiple data sets with dot plots, histograms, stem plots (stem and leaf), and box plots.

Box-and-Whisker Plots
Histograms
Mean, Median, and Mode
Reaction Time 1 (Graphs and Statistics)
Real-Time Histogram
Stem-and-Leaf Plots

M1.S.ID.A.2: Use statistics appropriate to the shape of the data distribution to compare center (median, mean) and spread (interquartile range, standard deviation) of two or more different data sets.

Box-and-Whisker Plots
Describing Data Using Statistics
Mean, Median, and Mode
Polling: City
Populations and Samples
Reaction Time 1 (Graphs and Statistics)
Real-Time Histogram

M1.S.ID.A.3: Interpret differences in shape, center, and spread in the context of the data sets, accounting for possible effects of extreme data points (outliers).

Box-and-Whisker Plots
Describing Data Using Statistics
Least-Squares Best Fit Lines
Mean, Median, and Mode
Populations and Samples
Reaction Time 1 (Graphs and Statistics)
Real-Time Histogram
Stem-and-Leaf Plots

M1.S.ID.B: Summarize, represent, and interpret data on two categorical and quantitative variables.

M1.S.ID.B.4: Represent data on two quantitative variables on a scatter plot, and describe how the variables are related.

M1.S.ID.B.4.a: Fit a function to the data; use functions fitted to data to solve problems in the context of the data. Use given functions or choose a function suggested by the context.

Correlation
Least-Squares Best Fit Lines
Solving Using Trend Lines
Trends in Scatter Plots
Zap It! Game

M1.S.ID.B.4.b: Fit a linear function for a scatter plot that suggests a linear association.

Correlation
Least-Squares Best Fit Lines
Solving Using Trend Lines
Trends in Scatter Plots

M1.S.ID.C: Interpret linear models.

M1.S.ID.C.5: Interpret the slope (rate of change) and the intercept (constant term) of a linear model in the context of the data.

Cat and Mouse (Modeling with Linear Systems)
Correlation
Solving Using Trend Lines
Trends in Scatter Plots

M1.S.ID.C.6: Compute (using technology) and interpret the correlation coefficient of a linear fit.

Correlation

M1.S.ID.C.7: Distinguish between correlation and causation.

Correlation

Correlation last revised: 9/24/2019

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