B: Number Operations and Relationships

B.a: Concepts

B.a.1: Compare and order real numbers.

 Comparing and Ordering Decimals
 Rational Numbers, Opposites, and Absolute Values

B.a.2: Analyze and solve problems using percents.

 Percent of Change
 Real-Time Histogram

B.a.3: Apply proportional reasoning and ratios in mathematical and real-world contexts.

 Beam to Moon (Ratios and Proportions)
 Estimating Population Size
 Part-to-part and Part-to-whole Ratios

B.b: Computation

B.b.1: Compare, perform and explain operations on real numbers with and without context e.g., transitivity, rate of change, exponential functions, scientific notation, roots, powers, reciprocals, absolute value, ratios, proportions, percents.

 Percent of Change
 Rational Numbers, Opposites, and Absolute Values
 Square Roots

B.b.2: Select and use appropriate properties, computational procedures, and modes of representation with and without context e.g., simple and compound interest, commission, percents, proportions.

 Beam to Moon (Ratios and Proportions)
 Compound Interest
 Part-to-part and Part-to-whole Ratios
 Percent of Change

C: Geometry

C.a: Describing Figures

C.a.1: Identify, describe and analyze properties of 2 and 3 dimensional figures, relationships among figures and relationships among their parts (e.g., parallel, perpendicular and congruent sides, diagonals, various types of angles and triangles, complementary and supplementary angles, sum of angles in a triangle).

 Classifying Quadrilaterals
 Pythagorean Theorem
 Pythagorean Theorem with a Geoboard
 Triangle Angle Sum

C.a.3: Model problems using the Pythagorean Theorem and right triangle trigonometry.

 Sine, Cosine, and Tangent Ratios

C.b: Spatial Relationships and Transformations

C.b.1: Use proportional reasoning to solve congruence and similarity problems (e.g., scale drawings and similar geometric figures).

 Beam to Moon (Ratios and Proportions)
 Dilations

C.b.2: Use transformations and symmetry to solve problems.

 Circles
 Dilations
 Holiday Snowflake Designer

C.c: Coordinate Systems

C.c.1: Use the two-dimensional rectangular coordinate system to describe and characterize properties of geometric figures. Identify and apply symmetry about an axis.

 Holiday Snowflake Designer
 Parabolas
 Points in the Coordinate Plane

C.c.2: Use the two-dimensional rectangular coordinate system and algebraic procedures to describe and characterize geometric properties and relationships (e.g., slope, intercepts, parallelism, and perpendicularity, Pythagorean Theorem, distance formula).

 Cat and Mouse (Modeling with Linear Systems)
 Circles
 Distance Formula
 Linear Functions
 Logarithmic Functions
 Parabolas
 Points in the Coordinate Plane
 Points, Lines, and Equations
 Slope-Intercept Form of a Line

D: Measurement

D.c: Indirect Measurement

D.c.1: Determine the perimeter/area of two-dimensional figures.

 Area of Parallelograms
 Area of Triangles
 Circumference and Area of Circles
 Perimeter and Area of Rectangles

D.c.2: Determine the surface area/volume of three-dimensional figures.

 Prisms and Cylinders
 Surface and Lateral Areas of Prisms and Cylinders
 Surface and Lateral Areas of Pyramids and Cones

D.c.3: Solve for angles, and segments in similar polygons and arcs in circles.

 Chords and Arcs
 Inscribed Angles
 Perimeters and Areas of Similar Figures
 Similar Figures

D.c.4: Use right-triangle trig functions and the Pythagorean Theorem to solve right-triangle problems.

 Circles
 Cosine Function
 Distance Formula
 Pythagorean Theorem
 Pythagorean Theorem with a Geoboard
 Sine Function
 Sine, Cosine, and Tangent Ratios
 Surface and Lateral Areas of Pyramids and Cones
 Tangent Function

D.c.5: Use formulas in applications (e.g., Distance Formula, simple and compound interest).

 Area of Triangles
 Circles

E: Statistics and Probability

E.a: Data Analysis and Statistics

E.a.1: Organize, display, compare and interpret data in a variety of ways in mathematical and real-world contexts e.g., histograms, line graphs, stem-and-leaf plots, scatter plots, box-and whiskers, bar charts, Venn diagrams, tables, circle graphs.

 Box-and-Whisker Plots
 Compound Inequalities
 Correlation
 Describing Data Using Statistics
 Estimating Population Size
 Histograms
 Least-Squares Best Fit Lines
 Real-Time Histogram
 Sight vs. Sound Reactions
 Solving Using Trend Lines
 Stem-and-Leaf Plots
 Trends in Scatter Plots

E.a.2: Interpret, analyze and make predictions from organized and displayed data. e.g., measures of central tendency such as mean, median, mode, and, measures of variation such as standard deviation, mean, median, mode, range, dispersion, outliers, line of best fit, percentiles.

 Box-and-Whisker Plots
 Correlation
 Describing Data Using Statistics
 Least-Squares Best Fit Lines
 Mean, Median, and Mode
 Polling: City
 Populations and Samples
 Real-Time Histogram
 Sight vs. Sound Reactions
 Solving Using Trend Lines
 Stem-and-Leaf Plots
 Trends in Scatter Plots

E.a.3: Analyze, evaluate and critique methods and conclusions of statistical experiments, e.g., randomness, sampling, techniques, surveys.

 Describing Data Using Statistics
 Polling: City
 Polling: Neighborhood
 Real-Time Histogram

E.b: Probability

E.b.1: Determine the likelihood of occurrence of simple and complex events Ex: Combinations and permutations, fundamental counting principle, experimental versus theoretical probability and independent, dependent and conditional probability.

 Binomial Probabilities
 Geometric Probability
 Independent and Dependent Events
 Probability Simulations
 Theoretical and Experimental Probability

F: Algebraic Relationships

F.a: Patterns, Relations and Functions

F.a.1: Describe, recognize, interpret and translate graphical representations of mathematical and real-world phenomena on coordinate grids, e.g., slope, intercepts, rate of change, linear and non-linear functions, and quadratic, exponential and constant functions.

 Absolute Value with Linear Functions
 Addition and Subtraction of Functions
 Arithmetic Sequences
 Cat and Mouse (Modeling with Linear Systems)
 Compound Interest
 Distance-Time and Velocity-Time Graphs
 Exponential Functions
 Introduction to Exponential Functions
 Linear Functions
 Logarithmic Functions
 Point-Slope Form of a Line
 Points in the Coordinate Plane
 Points, Lines, and Equations
 Quadratics in Factored Form
 Quadratics in Polynomial Form
 Quadratics in Vertex Form
 Roots of a Quadratic
 Slope
 Slope-Intercept Form of a Line
 Standard Form of a Line
 Translating and Scaling Functions
 Translations
 Zap It! Game

F.a.2: Analyze, generalize and represent patterns of change, e.g., direct and inverse variations, including numerical sequences, patterns to a given term, algebraic expressions and equations.

 Arithmetic Sequences
 Arithmetic and Geometric Sequences
 Finding Patterns
 Geometric Sequences

F.b: Expressions, Equations and Inequalities

F.b.1: Solve linear and quadratic equations, linear inequalities and systems of linear equations and inequalities.

 Compound Inequalities
 Exploring Linear Inequalities in One Variable
 Linear Inequalities in Two Variables
 Linear Programming
 Solving Linear Inequalities in One Variable
 Systems of Linear Inequalities (Slope-intercept form)

F.b.2: Model and solve a variety of mathematical and real-world problems by using algebraic expressions, equations and inequalities, e.g., linear, exponential, quadratic.

 Absolute Value with Linear Functions
 Addition and Subtraction of Functions
 Compound Interest
 Linear Inequalities in Two Variables
 Solving Equations by Graphing Each Side
 Solving Equations on the Number Line
 Standard Form of a Line
 Systems of Linear Inequalities (Slope-intercept form)
 Using Algebraic Expressions

F.b.3: Translate between different representations and describe the relationship among variable quantities in a problem, e.g., tables, graphs, functional notations, formulas.

 Introduction to Functions
 Points, Lines, and Equations
 Using Algebraic Expressions

F.c: Properties

F.c.1: Demonstrate understanding of properties by evaluating and simplifying expressions.

 Equivalent Algebraic Expressions I
 Equivalent Algebraic Expressions II
 Operations with Radical Expressions
 Simplifying Algebraic Expressions I
 Simplifying Algebraic Expressions II
 Solving Algebraic Equations I
 Solving Algebraic Equations II

F.c.2: Demonstrate understanding of properties by solving linear and quadratic equations, linear inequalities, and systems of linear equations and inequalities with one or two variables.

 Compound Inequalities
 Linear Inequalities in Two Variables
 Solving Algebraic Equations II
 Solving Linear Inequalities in One Variable
 Solving Linear Systems (Standard Form)
 Solving Two-Step Equations

Correlation last revised: 4/4/2018

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