Academic Content Standards

Unit Conversions

Unit Conversions 2 - Scientific Notation and Significant Digits

1.C.1: Identify and justify whether properties (closure, identity, inverse, commutative and associative) hold for a given set and operations; e.g., even integers and multiplication.

1.E.2: Compare, order and determine equivalent forms for rational and irrational numbers.

Comparing and Ordering Decimals

Part-to-part and Part-to-whole Ratios

Rational Numbers, Opposites, and Absolute Values

Operations with Radical Expressions

Simplifying Radical Expressions

Square Roots

1.I.5: Estimate the solutions for problem situations involving square and cube roots.

Prisms and Cylinders

Pyramids and Cones

Surface and Lateral Areas of Prisms and Cylinders

Surface and Lateral Areas of Pyramids and Cones

2.D.1: Convert rates within the same measurement system; e.g., miles per hour to feet per second; kilometers per hour to meters per second.

2.D.3: Use the ratio of lengths in similar two-dimensional figures or three-dimensional objects to calculate the ratio of their areas or volumes respectively.

Perimeters and Areas of Similar Figures

2.D.5: Solve problems involving unit conversion for situations involving distances, areas, volumes and rates within the same measurement system.

Constructing Congruent Segments and Angles

Perimeters and Areas of Similar Figures

Similar Figures

Similarity in Right Triangles

Constructing Congruent Segments and Angles

Constructing Parallel and Perpendicular Lines

Triangle Angle Sum

Dilations

Rotations, Reflections, and Translations

Translations

4.A.2: Generalize patterns using functions or relationships (linear, quadratic and exponential), and freely translate among tabular, graphical and symbolic representations.

Absolute Value Equations and Inequalities

Arithmetic Sequences

Arithmetic and Geometric Sequences

Function Machines 1 (Functions and Tables)

Function Machines 2 (Functions, Tables, and Graphs)

Geometric Sequences

Introduction to Functions

Linear Functions

Points, Lines, and Equations

4.B.1: Define function with ordered pairs in which each domain element is assigned exactly one range element.

4.B.3: Describe problem situations (linear, quadratic and exponential) by using tabular, graphical and symbolic representations.

Exponential Functions

Introduction to Exponential Functions

Simple and Compound Interest

4.C.2: Generalize patterns using functions or relationships (linear, quadratic and exponential), and freely translate among tabular, graphical and symbolic representations.

Absolute Value Equations and Inequalities

Arithmetic Sequences

Arithmetic and Geometric Sequences

Function Machines 1 (Functions and Tables)

Function Machines 2 (Functions, Tables, and Graphs)

Geometric Sequences

Introduction to Functions

Linear Functions

Points, Lines, and Equations

4.D.7: Use formulas to solve problems involving exponential growth and decay.

4.D.11: Add, subtract, multiply and divide monomials and polynomials (division of polynomials by monomials only).

Addition and Subtraction of Functions

Addition of Polynomials

Dividing Polynomials Using Synthetic Division

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

4.E.4: Demonstrate the relationship among zeros of a function, roots of equations, and solutions of equations graphically and in words.

Circles

Polynomials and Linear Factors

Quadratics in Factored Form

Quadratics in Polynomial Form

Roots of a Quadratic

Solving Equations on the Number Line

4.E.5: Describe and compare characteristics of the following families of functions: linear, quadratic and exponential functions; e.g., general shape, number of roots, domain, range, rate of change, maximum or minimum.

Addition and Subtraction of Functions

Exponential Functions

Function Machines 3 (Functions and Problem Solving)

Graphs of Polynomial Functions

Introduction to Exponential Functions

Linear Functions

Quadratics in Factored Form

Quadratics in Polynomial Form

Slope-Intercept Form of a Line

Translating and Scaling Functions

4.F.8: Find linear equations that represent lines that pass through a given set of ordered pairs, and find linear equations that represent lines parallel or perpendicular to a given line through a specific point.

Point-Slope Form of a Line

Points, Lines, and Equations

Slope-Intercept Form of a Line

4.G.10: Solve quadratic equations with real roots by factoring, graphing, using the quadratic formula and with technology.

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

Quadratics in Factored Form

Quadratics in Polynomial Form

Roots of a Quadratic

4.H.9: Solve and interpret the meaning of 2 by 2 systems of linear equations graphically, by substitution and by elimination, with and without technology.

Solving Equations by Graphing Each Side

Solving Linear Systems (Matrices and Special Solutions)

Solving Linear Systems (Slope-Intercept Form)

Solving Linear Systems (Standard Form)

4.I.13: Model and solve problems involving direct and inverse variation using proportional reasoning.

4.I.14: Describe the relationship between slope and the graph of a direct variation and inverse variation.

5.A.2: Create a scatterplot for a set of bivariate data, sketch the line of best fit, and interpret the slope of the line of best fit.

Correlation

Least-Squares Best Fit Lines

Solving Using Trend Lines

Trends in Scatter Plots

5.A.3: Analyze and interpret frequency distributions based on spread, symmetry, skewness, clusters and outliers.

Describing Data Using Statistics

Polling: City

Real-Time Histogram

Describing Data Using Statistics

Mean, Median, and Mode

Populations and Samples

Reaction Time 1 (Graphs and Statistics)

Stem-and-Leaf Plots

Box-and-Whisker Plots

Describing Data Using Statistics

Mean, Median, and Mode

Populations and Samples

Reaction Time 1 (Graphs and Statistics)

Real-Time Histogram

Sight vs. Sound Reactions

Stem-and-Leaf Plots

5.F.6: Make inferences about relationships in bivariate data, and recognize the difference between evidence of relationship (correlation) and causation.

5.G.5: Describe characteristics and limitations of sampling methods, and analyze the effects of random versus biased sampling; e.g., determine and justify whether the sample is likely to be representative of the population.

Polling: City

Polling: Neighborhood

5.H.7: Use counting techniques and the Fundamental Counting principle to determine the total number of possible outcomes for mathematical situations.

5.I.8: Describe, create and analyze a sample space and use it to calculate probability.

Binomial Probabilities

Geometric Probability

Independent and Dependent Events

Probability Simulations

Theoretical and Experimental Probability

5.J.9: Identify situations involving independent and dependent events, and explain differences between, and common misconceptions about probabilities associated with those events.

Independent and Dependent Events

5.K.10: Use theoretical and experimental probability, including simulations or random numbers, to estimate probabilities and to solve problems dealing with uncertainty; e.g., compound events, independent events, simple dependent events.

Independent and Dependent Events

Correlation last revised: 8/29/2016