Learning Results

A.1.b: Estimate the value(s) of roots and use technology to approximate them.

A.1.c: Compute using laws of exponents.

Dividing Exponential Expressions

Multiplying Exponential Expressions

A.1.d: Multiply and divide numbers expressed in scientific notation.

A.1.e: Understand that some quadratic equations do not have real solutions and that there exist other number systems to allow for solutions to these equations.

B.2.a: Recognize when correlation has been confused with cause and effect.

B.2.b: Create and interpret scatter plots and estimate correlation and lines of best fit.

Correlation

Least-Squares Best Fit Lines

Solving Using Trend Lines

Trends in Scatter Plots

B.2.c: Recognize positive and negative correlations based on data from a table or scatter plot.

Correlation

Least-Squares Best Fit Lines

Solving Using Trend Lines

Trends in Scatter Plots

B.2.d: Estimate the strength of correlation based upon a scatter plot.

Correlation

Least-Squares Best Fit Lines

Solving Using Trend Lines

Trends in Scatter Plots

B.3.a: Find and apply range, quartiles, mean absolute deviation, and standard deviation (using technology) of a set of data.

Box-and-Whisker Plots

Describing Data Using Statistics

Mean, Median, and Mode

Polling: City

Reaction Time 1 (Graphs and Statistics)

Real-Time Histogram

Stem-and-Leaf Plots

B.3.b: Interpret, give examples of, and describe key differences among different types of distributions: uniform, normal, and skewed.

B.3.c: For the sample mean of normal distributions, use the standard deviation for a group of observations to establish 90%, 95%, or 99% confidence intervals.

B.4.a: Describe and account for the difference between sample statistics and statistics describing the distribution of the entire population.

Polling: City

Polling: Neighborhood

Populations and Samples

B.4.b: Recognize that sample statistics produce estimates for the distribution of an entire population and recognize that larger sample sizes will produce more reliable estimates.

Polling: City

Populations and Samples

B.4.c: Apply methods of creating random samples and recognize possible sources of bias in samples.

Polling: City

Polling: Neighborhood

Populations and Samples

B.5.b: Find the expected value of events.

Theoretical and Experimental Probability

B.5.c: Find the probability of compound events including independent and dependent events.

Independent and Dependent Events

Theoretical and Experimental Probability

C.1.a: Use the properties of triangles to prove theorems about figures and relationships among figures.

Isosceles and Equilateral Triangles

Triangle Angle Sum

Triangle Inequalities

C.1.c: Use the Pythagorean Theorem in situations where right triangles are created by adding segments to figures.

Cosine Function

Sine Function

Tangent Function

C.1.d: Use the distance formula.

C.2.a: Use the concepts of central and inscribed angles to solve problems and justify statements.

Chords and Arcs

Inscribed Angles

C.3.a: Identify and find the value of trigonometric ratios for angles in right triangles.

Cosine Function

Sine Function

Sine, Cosine, and Tangent Ratios

Tangent Function

C.3.b: Use trigonometry to solve for missing lengths in right triangles.

Sine, Cosine, and Tangent Ratios

C.4.a: Find the volume and surface area of three-dimensional figures including cones and spheres.

Prisms and Cylinders

Pyramids and Cones

Surface and Lateral Areas of Prisms and Cylinders

Surface and Lateral Areas of Pyramids and Cones

C.4.b: Determine the effect of changes in linear dimensions on the volume and surface area of similar and other three-dimensional figures.

Surface and Lateral Areas of Prisms and Cylinders

D.1.a: Simplify expressions including those with rational exponents.

Dividing Exponential Expressions

Equivalent Algebraic Expressions I

Equivalent Algebraic Expressions II

Multiplying Exponential Expressions

Operations with Radical Expressions

Simplifying Algebraic Expressions I

Simplifying Algebraic Expressions II

D.1.b: Add, subtract, and multiply polynomials.

Addition and Subtraction of Functions

Addition of Polynomials

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

D.1.c: Factor the common term out of polynomial expressions.

D.1.d: Divide polynomials by (ax+b).

Dividing Polynomials Using Synthetic Division

D.2.a: Solve systems of linear equations and inequalities in two unknowns and interpret their graphs.

Linear Programming

Solving Equations by Graphing Each Side

Solving Linear Systems (Matrices and Special Solutions)

Solving Linear Systems (Slope-Intercept Form)

Solving Linear Systems (Standard Form)

Systems of Linear Inequalities (Slope-intercept form)

D.2.b: Solve quadratic equations graphically, by factoring in cases where factoring is efficient, and by applying the quadratic formula.

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

Quadratics in Factored Form

Roots of a Quadratic

D.2.d: Solve absolute value equations and inequalities and interpret the results.

Absolute Value Equations and Inequalities

Absolute Value with Linear Functions

Compound Inequalities

D.2.e: Apply the understanding that the solution(s) to equations of the form f(x) = g(x) are the x-value(s) of the point(s) of intersection of the graphs of f(x) and g(x) and common outputs in table of values.

Solving Linear Systems (Slope-Intercept Form)

D.2.f: Explain why the coordinates of the point of intersection of the lines represented by a system of equations is its solution and apply this understanding to solving problems.

Cat and Mouse (Modeling with Linear Systems)

Solving Equations by Graphing Each Side

Solving Linear Systems (Matrices and Special Solutions)

Solving Linear Systems (Slope-Intercept Form)

Solving Linear Systems (Standard Form)

D.4.a: Recognize the graphs and sketch graphs of the basic functions

D.4.a.2: f(x) = ax_ + bx + c ;

Addition and Subtraction of Functions

Exponential Functions

Quadratics in Factored Form

Quadratics in Polynomial Form

Quadratics in Vertex Form

Roots of a Quadratic

Translating and Scaling Functions

Zap It! Game

D.4.a.3: f(x) = square root of x ;

D.4.a.4: f(x) = |x| ;

Absolute Value with Linear Functions

Translating and Scaling Functions

D.4.a.6: f(x) = a to the x power ; and

Compound Interest

Exponential Functions

Introduction to Exponential Functions

Logarithmic Functions

D.4.a.7: f(x) = kx + b

Absolute Value with Linear Functions

Arithmetic Sequences

Compound Interest

Exponential Functions

Linear Functions

Point-Slope Form of a Line

Slope-Intercept Form of a Line

Standard Form of a Line

D.4.c: Use concepts such as domain, range, zeros, intercepts, and maximum and minimum values.

Cat and Mouse (Modeling with Linear Systems)

Introduction to Functions

Linear Functions

Logarithmic Functions

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

Points, Lines, and Equations

Polynomials and Linear Factors

Radical Functions

Roots of a Quadratic

Slope-Intercept Form of a Line

D.4.d: Use the concepts of average rate of change (table of values) and increasing and decreasing over intervals, and use these characteristics to compare functions.

Linear Functions

Points, Lines, and Equations

D.5.a: Express the (n+1)st term in terms of the nth term and describe relationships in terms of a starting point and rule followed to transform one term to the next.

Arithmetic Sequences

Geometric Sequences

Correlation last revised: 5/11/2018

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