Assessment Frameworks

6.11.01: Recognize, represent, order, compare real numbers, and locate real numbers on a number line (e.g., pi, square root of 2, square root of 5, 2/3, -1.6).

Comparing and Ordering Decimals

Rational Numbers, Opposites, and Absolute Values

6.11.02: Represent numbers in equivalent forms (e.g., fraction/decimal/percent, exponential/logarithmic, radical/rational exponents, absolute value, scientific notation).

Unit Conversions 2 - Scientific Notation and Significant Digits

6.11.05: Simplify or test expressions by applying field properties (commutative, associative, distributive), order properties (transitive, reflexive, symmetric), and properties of equality for the set of real numbers.

Equivalent Algebraic Expressions I

Equivalent Algebraic Expressions II

Simplifying Algebraic Expressions I

Simplifying Algebraic Expressions II

6.11.09: Solve problems involving estimates or data (e.g., use averages to estimate the cost of a job that includes labor and materials).

6.11.12: Solve problems using simple matrix operations (addition, subtraction, multiplication, scalar multiplication).

6.11.15: Judge the reasonableness of solutions, and find mistakes in calculation, logic, and formula application.

6.11.17: Set up, evaluate, or solve number sentences or word problems involving ratios and proportions with rational numbers (e.g., scale drawing, unit rate, scale factor, rate of change).

Beam to Moon (Ratios and Proportions)

Estimating Population Size

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

6.11.18: Set up, evaluate, or solve common problems involving percent (e.g., sales tax, tip, interest, discount, markup, commission, compound interest).

Compound Interest

Percent of Change

Real-Time Histogram

6.11.19: Set up, evaluate, or solve problems stated in terms of direct and inverse variation of simple quantities.

Determining a Spring Constant

Direct and Inverse Variation

7.11.04: Describe the general trends of how the change in one measure affects other measures in the same figure (e.g., length, area, volume).

Perimeter and Area of Rectangles

7.11.05: Determine the linear measure, perimeter, area, surface area, and volume of similar figures.

Perimeters and Areas of Similar Figures

8.11.01: Simplify or identify equivalent algebraic expressions (e.g., exponential, rational, logarithmic, factored, polynomial).

Factoring Special Products

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

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

Simplifying Algebraic Expressions II

8.11.02: Represent mathematical relationships using symbolic algebra.

Square Roots

Using Algebraic Expressions

8.11.03: Identify essential quantitative relationships in a situation, and determine the class or classes of functions (e.g., linear, quadratic, exponential) that model the relationships.

Addition and Subtraction of Functions

Exponential Functions

Linear Functions

Logarithmic Functions

Translating and Scaling Functions

8.11.04: Determine a specific term, a finite sum, or a rule that generates terms of a pattern.

Arithmetic Sequences

Arithmetic and Geometric Sequences

Geometric Sequences

8.11.05: Model and describe slope as a constant rate of change.

Cat and Mouse (Modeling with Linear Systems)

Direct and Inverse Variation

Slope-Intercept Form of a Line

8.11.06: Evaluate variable expressions and functions.

Solving Equations by Graphing Each Side

Solving Equations on the Number Line

8.11.07: Identify an equation of a line or an equation of a line of best fit from given information (e.g., from a set of ordered pairs, graphs, tables).

Absolute Value Equations and Inequalities

Point-Slope Form of a Line

Slope-Intercept Form of a Line

Solving Equations on the Number Line

Standard Form of a Line

8.11.08: Recognize and describe the general shape and properties of functions from graphs, tables, or equations (e.g., linear, absolute value, quadratic, exponential, logarithmic).

Absolute Value with Linear Functions

Addition and Subtraction of Functions

Exponential Functions

Graphs of Polynomial Functions

Introduction to Exponential Functions

Linear Functions

Logarithmic Functions

Zap It! Game

8.11.09: Identify slope from an equation, table of values, or graph.

Cat and Mouse (Modeling with Linear Systems)

Point-Slope Form of a Line

Slope

Slope-Intercept Form of a Line

8.11.10: Interpret the role of the coefficients and constants on the graphs of linear and quadratic functions, given a set of equations.

8.11.11: Analyze functions by investigating domain, range, rates of change, intercepts, and zeros.

Exponential Functions

Point-Slope Form of a Line

Radical Functions

Slope

8.11.14: Model problems using mathematical functions and relations (e.g., linear, non-linear).

Arithmetic Sequences

Linear Functions

Slope-Intercept Form of a Line

8.11.15: Interpret the graph of a system of equations and inequalities, including cases where there are no solutions.

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)

8.11.16: Solve linear equations and inequalities, including selecting and evaluating formulas.

8.11.17: Solve systems of equations and inequalities.

Linear Programming

Solving Equations by Graphing Each Side

Solving Linear Systems (Matrices and Special Solutions)

Solving Linear Systems (Standard Form)

Systems of Linear Inequalities (Slope-intercept form)

8.11.18: Solve quadratic equations over the complex number system, including selecting and evaluating formulas.

8.11.19: Solve problems that include nonlinear functions, including selecting and evaluating formulas (i.e., absolute value, trigonometric, logarithmic, exponential).

Absolute Value with Linear Functions

Area of Triangles

Compound Interest

Cosine Function

Exponential Functions

Introduction to Exponential Functions

Linear Functions

Logarithmic Functions

Sine Function

Sine, Cosine, and Tangent Ratios

Tangent Function

Translating and Scaling Functions

8.11.20: Identify, interpret, and write equations for circles and other conic sections.

Addition and Subtraction of Functions

Circles

Ellipses

Hyperbolas

Parabolas

8.11.21: Recognize and apply mathematical and algebraic axioms, theorems of algebra, and deductive reasoning.

9.11.01: Apply the Pythagorean theorem.

Circles

Cosine Function

Distance Formula

Sine Function

Tangent Function

9.11.02: Identify and represent transformations (rotations, reflections, translations, dilations) of an object in the plane, and describe the effects of transformations on points in words or coordinates.

Dilations

Rotations, Reflections, and Translations

Translations

9.11.03: Determine how changing the scale factor affects the size and position of a figure in the plane.

9.11.04: Classify plane figures according to their properties.

Classifying Quadrilaterals

Classifying Triangles

Parallelogram Conditions

Special Parallelograms

9.11.05: Identify, apply, or solve problems that require knowledge of geometric properties of plane figures (e.g., triangles, quadrilaterals, parallel lines cut by a transversal, angles, diagonals, triangle inequality).

Classifying Quadrilaterals

Concurrent Lines, Medians, and Altitudes

Parallelogram Conditions

Triangle Angle Sum

Triangle Inequalities

9.11.07: Identify the relationship between two-dimensional patterns (e.g., nets) and related three-dimensional objects (e.g., cylinders, prisms, cones).

Surface and Lateral Areas of Prisms and Cylinders

9.11.08: Identify two- and three-dimensional figures that would match a set of given conditions.

9.11.09: Solve problems that involve calculating distance, midpoint, and slope using coordinate geometry.

9.11.10: Identify, apply, and solve problems that require knowledge of geometric relationships of circles (e.g. arcs, chords, tangents, secants, central angles, inscribed angles).

Chords and Arcs

Inscribed Angles

9.11.11: Graph, locate, and identify points on a coordinate system.

Points in the Coordinate Plane

9.11.12: Solve problems involving similar figures.

Perimeters and Areas of Similar Figures

Similar Figures

Similarity in Right Triangles

9.11.13: Solve problems using triangle congruence.

Congruence in Right Triangles

Constructing Congruent Segments and Angles

Proving Triangles Congruent

9.11.14: Describe how two or more objects are related in space (e.g., skew lines, the possible ways three planes might intersect).

Parallel, Intersecting, and Skew Lines

9.11.15: Identify relationships between circles and other objects in the plane (e.g., inscribed circles, concentric circles, internal/external tangency).

Circumference and Area of Circles

Inscribed Angles

9.11.17: Recognize and apply mathematical and geometric axioms, fundamental theorems of geometry, and deductive reasoning.

9.11.19: Determine distances and angle measures using indirect measurement (e.g., properties of right triangles, Law of Sines, Law of Cosines).

Similarity in Right Triangles

Sine, Cosine, and Tangent Ratios

9.11.20: Solve problems using 45°-45°-90° and 30°-60°-90° triangles.

Cosine Function

Sine Function

Tangent Function

9.11.21: Identify graphs of a given trigonometric function (sin x, cos x) using its characteristics (e.g., period, amplitude).

Translating and Scaling Functions

9.11.22: Define, identify, and evaluate trigonometric ratios.

Cosine Function

Sine Function

Sine, Cosine, and Tangent Ratios

Tangent Function

9.11.23: Use trigonometric identities (e.g., sin²x + cos²x = 1)

Simplifying Trigonometric Expressions

Sine, Cosine, and Tangent Ratios

Sum and Difference Identities for Sine and Cosine

10.11.01: Read, interpret, predict, interpolate, extrapolate, and use information from a variety of graphs, charts, and tables.

Polling: City

Real-Time Histogram

10.11.02: Translate from one representation of data to another (e.g., a bar graph to a circle graph).

10.11.04: Find an unknown value in a dataset given information about descriptive statistics.

Box-and-Whisker Plots

Describing Data Using Statistics

Mean, Median, and Mode

Real-Time Histogram

Stem-and-Leaf Plots

10.11.05: Calculate, interpret, and use measures of central tendency and dispersion.

Box-and-Whisker Plots

Describing Data Using Statistics

Mean, Median, and Mode

Real-Time Histogram

Stem-and-Leaf Plots

10.11.06: Compare two or more data sets on measures of central tendency and dispersion.

Box-and-Whisker Plots

Describing Data Using Statistics

Mean, Median, and Mode

Real-Time Histogram

10.11.07: Compute the probability of an event composed of single or repeated trials with or without replacement.

Binomial Probabilities

Geometric Probability

Independent and Dependent Events

Theoretical and Experimental Probability

10.11.08: Compute probabilities for compound events.

Independent and Dependent Events

10.11.09: Determine geometric probability based on area.

10.11.10: Apply counting techniques (e.g., permutations, combinations, Fundamental Counting Principle).

Binomial Probabilities

Permutations and Combinations

Correlation last revised: 1/20/2017

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