Standards

1.1.1: Compare real numbers

Comparing and Ordering Decimals

Comparing and Ordering Fractions

Comparing and Ordering Rational Numbers

1.1.4: Locate real numbers on a number line (including approximations of irrational numbers)

Comparing and Ordering Decimals

Comparing and Ordering Fractions

Comparing and Ordering Rational Numbers

1.2.3: Mentally multiply and divide by powers of 10 to estimate results of computations involving numbers expressed in scientific notation

1.2.4: Develop and use strategies to estimate the results of real number computations, determine the amount of error, and judge the reasonableness of results

2.1.2: Analyze bivariate data and identify the type of function (linear, quadratic, exponential) that could be used to model the data

Exponential Functions - Activity A

Linear Functions

Quadratic and Absolute Value Functions

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Roots of a Quadratic

2.2.1: Compute the probability of a compound event (e.g., toss a coin three times to find the probability of two heads)

Compound Independent Events

Compound Independent and Dependent Events

Independent and Dependent Events

2.2.2: Determine probabilities of dependent and independent events (e.g., use colored marbles with and without replacement)

Compound Independent Events

Compound Independent and Dependent Events

Independent and Dependent Events

2.2.4: Determine all possible outcomes of a particular event or all possible arrangements of objects in a given set by applying counting strategies, combinations, and permutations

Binomial Probabilities

Permutations

Permutations and Combinations

2.3.1: Determine appropriate designs for simulations (surveys, observational studies, and experiments) and modeling to study a problem and construct empirical probability distributions to represent results

Geometric Probability - Activity A

Probability Simulations

2.3.2: Use matrices, histograms, scatter plots, stem-and-leaf plots, and box-and whisker-plots to interpret data

Box-and-Whisker Plots

Correlation

Histograms

Populations and Samples

Scatter Plots - Activity A

Solving Using Trend Lines

Stem-and-Leaf Plots

2.4.1: Make inferences and predictions from data in histograms, scatter plots, and parallel box plots

Correlation

Histograms

Populations and Samples

Scatter Plots - Activity A

Solving Using Trend Lines

3.1.1: Represent and generalize sequences resulting from linear, quadratic, and exponential relationships using recursive or explicit formulas tables of values and graphs

Arithmetic Sequences

Arithmetic and Geometric Sequences

Cubic Function Activity

Fourth-Degree Polynomials - Activity A

Geometric Sequences

Linear Functions

Quadratic and Absolute Value Functions

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Roots of a Quadratic

Using Tables, Rules and Graphs

3.1.3: Evaluate and make a table for two-variable formulas and match a graph or table of values to its formula

Exponential Functions - Activity A

Linear Functions

Logarithmic Functions: Translating and Scaling

Slope-Intercept Form of a Line - Activity A

Using Tables, Rules and Graphs

3.1.4: Identify independent and dependent variables and determine the domain and range of a function in a problem situation

Functions Involving Square Roots

Introduction to Functions

3.2.1: Algebraically represent situations and solve problems involving quadratic and exponential equations, including exponential growth and decay

Exponential Functions - Activity A

Exponential Growth and Decay - Activity B

Half-life

Roots of a Quadratic

3.2.2: Use graphs to solve non-linear equations, including quadratics

3.2.3: Represent and solve system of linear equations with 2 variables using simultaneous equations and by graphing

Modeling Linear Systems - Activity A

Solving Linear Systems by Graphing

Special Types of Solutions to Linear Systems

Systems of Linear Equations - Activity A

3.2.6: Translate between and interpret quadratic and exponential relationships represented by words, symbols, tables, and graphs

Exponential Functions - Activity A

Parabolas - Activity A

Quadratic and Absolute Value Functions

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Roots of a Quadratic

Using Tables, Rules and Graphs

3.2.7: Determine and interpret maxima or minima and zeros of quadratic functions, and linear functions where y = constant

Linear Functions

Parabolas - Activity A

Polynomials and Linear Factors

Quadratic and Absolute Value Functions

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Roots of a Quadratic

3.2.8: Graph linear inequalities in two variables

Inequalities Involving Absolute Values

Linear Inequalities in Two Variables - Activity A

Linear Programming - Activity A

Solving Linear Inequalities using Addition and Subtraction

Solving Linear Inequalities using Multiplication and Division

Systems of Linear Inequalities (Slope-intercept form) - Activity A

3.2.9: Graph quadratic and exponential equations

Point-Slope Form of a Line - Activity A

Slope-Intercept Form of a Line - Activity A

3.2.10: Analyze how changing a parameter (i.e., k, b) in a quadratic or exponential function of the form y=k^x+b, y=kx^2+b, or y=k(x+b)^2 affects its graph

Cubic Function Activity

Exponential Functions - Activity A

Fourth-Degree Polynomials - Activity A

Parabolas - Activity A

Quadratic and Absolute Value Functions

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Roots of a Quadratic

Translating and Scaling Functions

3.3.1: Model situations, make predictions and inferences, and solve problems using linear, quadratic, and exponential functions

Exponential Functions - Activity A

Linear Functions

Quadratic and Absolute Value Functions

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Roots of a Quadratic

3.3.2: Determine when data represented in a table or graph represents a linear, quadratic, or exponential relationship

Exponential Functions - Activity A

Linear Functions

Quadratic and Absolute Value Functions

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Roots of a Quadratic

Using Tables, Rules and Graphs

3.4.1: Approximate and interpret rates of change in graphical and numeric data

Direct Variation

Direct and Inverse Variation

3.4.2: Analyze the nature of change of each variable in a non-linear relationship as suggested by a table of values, a graph or a formula

Cosine Function

Cubic Function Activity

Distance-Time Graphs

Distance-Time and Velocity-Time Graphs

Exponential Functions - Activity A

Fourth-Degree Polynomials - Activity A

Functions Involving Square Roots

General Form of a Rational Function

Linear Functions

Logarithmic Functions - Activity A

Logarithmic Functions: Translating and Scaling

Quadratic and Absolute Value Functions

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Radical Functions

Rational Functions

Sine Function

Tangent Function

Unit Circle

Using Tables, Rules and Graphs

4.1.1: Determine the appropriate units, scales, and tools for problem situations involving measurement

Dilations

Similar Figures - Activity A

Similar Polygons

Triple Beam Balance

4.1.3: Determine the precision of a given measuring tool (e.g., 1 degree for a standard protractor)

4.2.1: Develop and use strategies and formulas for calculating surface area and volume of cones and spheres

Prisms and Cylinders - Activity A

Pyramids and Cones - Activity A

Surface and Lateral Area of Prisms and Cylinders

Surface and Lateral Area of Pyramids and Cones

4.2.2: Use formulas to solve problems involving finding missing dimensions given perimeter, area, surface area and volume of polygons, circles, prisms, pyramids, cones, cylinders, and spheres

Area of Parallelograms - Activity A

Circle: Circumference and Area

Perimeter, Circumference, and Area - Activity B

Prisms and Cylinders - Activity A

Pyramids and Cones - Activity A

Rectangle: Perimeter and Area

Surface and Lateral Area of Prisms and Cylinders

Surface and Lateral Area of Pyramids and Cones

4.2.4: Determine perimeter and area of shapes of circles and polygons (annulus, etc.) in context

Area of Parallelograms - Activity A

Circle: Circumference and Area

Minimize Perimeter

Perimeter, Circumference, and Area - Activity B

Rectangle: Perimeter and Area

4.2.5: Determine the surface area and volume of a complex figure composed of a combination of two or more geometric figures or a figure derived from a regular solid (e.g., hemisphere, frustum of a cone)

Prisms and Cylinders - Activity A

Pyramids and Cones - Activity A

Surface and Lateral Area of Prisms and Cylinders

Surface and Lateral Area of Pyramids and Cones

4.2.6: Compare and contrast the formulas for surface area and volume of cylinders and cones

Prisms and Cylinders - Activity A

Pyramids and Cones - Activity A

Surface and Lateral Area of Prisms and Cylinders

Surface and Lateral Area of Pyramids and Cones

4.2.7: Determine a shape that has minimum or maximum perimeter, area, surface area, or volume under specified conditions

Minimize Perimeter

Perimeter, Circumference, and Area - Activity B

Prisms and Cylinders - Activity A

Pyramids and Cones - Activity A

Rectangle: Perimeter and Area

5.1.1: Determine defining properties that characterize classes of three-dimensional figures and their component parts

Classifying Triangles

Congruence in Right Triangles

Prisms and Cylinders - Activity A

Proving Triangles Congruent

Pyramids and Cones - Activity A

5.1.2: Recognize and represent three-dimensional figures and their component parts

Prisms and Cylinders - Activity A

Pyramids and Cones - Activity A

5.1.3: Justify and use theorems involving the angles formed by parallel lines cut by a transversal

Investigating Angle Theorems - Activity A

Triangle Angle Sum - Activity A

5.1.4: Develop, understand, and apply properties of circles and of inscribed and circumscribed polygons

5.1.5: Use measures of sides and of interior and exterior angles of polygons to classify figures and solve problems

Classifying Quadrilaterals - Activity B

Classifying Triangles

Parallelogram Conditions

Prisms and Cylinders - Activity A

Pyramids and Cones - Activity A

Special Quadrilaterals

Triangle Angle Sum - Activity A

5.1.6: Prove congruence of two triangles or their corresponding component parts

Biconditional Statement

Conditional Statement

Congruence in Right Triangles

Proving Triangles Congruent

5.1.7: Determine the measures of corresponding angles, sides, and corresponding parts of congruent and similar figures

Constructing Congruent Segments and Angles

Perimeters and Areas of Similar Figures

Similar Figures - Activity A

Similar Polygons

5.1.8: Use angle, side length and triangle inequality relationships to solve problems

Classifying Triangles

Triangle Inequalities

5.1.9: Use trigonometric functions, and angle and side relationships of special right triangles (30- 60-right triangles and isosceles right triangles) to solve for an unknown length and determine distances and solve problems

Cosine Function

Distance Formula - Activity A

Geoboard: The Pythagorean Theorem

Pythagorean Theorem - Activity A

Sine Function

Sine and Cosine Ratios - Activity A

Sine, Cosine and Tangent

Tangent Function

Tangent Ratio

5.1.10: Investigate relationships among chords, secants, tangents, inscribed angles, and inscribed and circumscribed polygons of circles

Chords and Arcs

Inscribing Angles

5.1.12: Justify and use theorems involving the properties of triangles, quadrilaterals, circles, and their component parts to verify congruence and similarity

Congruence in Right Triangles

Parallelogram Conditions

Perimeters and Areas of Similar Figures

Proving Triangles Congruent

Similar Figures - Activity A

Similar Polygons

5.2.1: Model, sketch, label and where appropriate construct cones and spheres, and basic elements of geometric figures (e.g., altitudes, midpoints, medians, angle bisectors, and perpendicular bisectors) using compass and straightedge or technology

Construct Parallel and Perpendicular Lines

Constructing Congruent Segments and Angles

Pyramids and Cones - Activity A

Surface and Lateral Area of Pyramids and Cones

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

Congruence in Right Triangles

Investigating Parallel Lines and Planes

Proving Triangles Congruent

5.2.3: Make a model of a three-dimensional figure from a two-dimensional drawing and make a two-dimensional representation of a three-dimensional object through scale drawings, perspective drawings, blueprints or computer simulations

3D and Orthographic Views - Activity A

Surface and Lateral Area of Prisms and Cylinders

Surface and Lateral Area of Pyramids and Cones

5.3.2: Calculate slope, distance and midpoint between points with an emphasis on practical applications (use coordinate formulas)

Distance Formula - Activity A

Geoboard: The Pythagorean Theorem

Pythagorean Theorem - Activity A

Pythagorean Theorem - Activity B

Slope - Activity B

5.4.1: Use coordinate geometry to determine whether a figure is symmetrical with respect to a line or a point

5.4.2: Determine whether a given pair of figures on a coordinate plane represent a translation, reflection, rotation and/or dilation

Dilations

Reflections

Rotations, Reflections and Translations

Translations

5.4.3: Determine the image of a figure on a coordinate graph under translations, reflections, and rotations

Reflections

Rotations, Reflections and Translations

Translations

5.4.4: Given a figure and its image on a coordinate graph, determine the translation vector or locate the axis of reflection

Holiday Snowflake Designer

Reflections

Rotations, Reflections and Translations

Translations

Vectors

5.4.5: Determine the coordinates of and draw the dilation of a figure on a coordinate graph

5.4.6: Analyze the congruence, similarity, and line or rotational symmetry of figures using transformations

Constructing Congruent Segments and Angles

Holiday Snowflake Designer

Perimeters and Areas of Similar Figures

Similar Figures - Activity A

Similar Polygons

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.