A: Patterns and functional relationships can be represented and analyzed using a variety of strategies, tools and technologies.

A.1: Analyze a variety of patterns (physical phenomena, numeric and geometric patterns, arithmetic sequences) and generalize with algebraic expressions, formulas or equations.

 Arithmetic Sequences
 Arithmetic and Geometric Sequences
 Geometric Sequences

A.4: Write expressions, formulas, equations or inequalities using variables to represent mathematical relationships and solve problems.

 Solving Equations on the Number Line
 Using Algebraic Equations

A.6: Examine situations with constant or varying rates of change and know that a constant rate of change describes a linear relationship.

 Distance-Time and Velocity-Time Graphs

A.7: Evaluate and simplify algebraic expressions, equations and formulas using algebraic properties (i.e., commutative, associative, distributive, inverse operations, and the additive and multiplicative identities) and the order of operations.

 Adding on the Number Line
 Addition of Polynomials
 Equivalent Algebraic Expressions I
 Equivalent Algebraic Expressions II
 Operations with Radical Expressions
 Order of Operations
 Simplifying Algebraic Expressions I
 Simplifying Algebraic Expressions II
 Solving Algebraic Equations I
 Solving Equations by Graphing Each Side
 Solving Equations on the Number Line
 Using Algebraic Equations

A.8: Solve real world problems using a variety of algebraic methods including tables, graphs, equations and inequalities.

 Linear Inequalities in Two Variables
 Solving Equations on the Number Line

A.9: Write, model and solve one- and two-step, e.g., 2 x + 3 = 11, equations using a variety of methods such as tables, concrete models and the Properties of Equality and justify the solution.

 Function Machines 1 (Functions and Tables)
 Modeling One-Step Equations
 Modeling and Solving Two-Step Equations
 Solving Algebraic Equations II
 Solving Equations on the Number Line
 Solving Two-Step Equations

N: Quantitative relationships can be expressed numerically in multiple ways in order to make connections and simplify calculations using a variety of strategies, tools and technologies.

N.1: Compare and order rational numbers, e.g., -2, 3/8, -3.15, 0.8, in context and locate them on number lines, scales and coordinate grids.

 Elevator Operator (Line Graphs)
 Estimating Population Size
 Integers, Opposites, and Absolute Values
 Points in the Coordinate Plane

N.2: Represent rational numbers in equivalent fraction, decimal and percentage forms.

 Part-to-part and Part-to-whole Ratios
 Percents, Fractions, and Decimals

N.5: Understand the relationship between squares and square roots.

 Square Roots

N.6: Read, write, compare and solve problems with whole numbers in scientific notation and vice versa.

 Unit Conversions 2 - Scientific Notation and Significant Digits

N.8: Apply the order of operations and algebraic properties; i.e., commutative, associative, distributive, inverse operations, and the additive and multiplicative identities; to write, simplify, e.g., 4 (3 1/2) = 4 (3) + 4 (1/2) = 12 + 2 = 16, and solve problems, including those with parentheses and exponents.

 Adding on the Number Line
 Addition of Polynomials
 Chocomatic (Multiplication, Arrays, and Area)
 Function Machines 3 (Functions and Problem Solving)
 Order of Operations
 Rational Numbers, Opposites, and Absolute Values
 Simplifying Algebraic Expressions I
 Solving Two-Step Equations
 Square Roots
 Using Algebraic Equations

N.9: Apply a variety of strategies to write and solve problems involving addition, subtraction, multiplication and division of positive rational numbers, i.e., whole numbers, fractions and decimals.

 Estimating Sums and Differences

N.17: Develop an understanding of absolute value using a number line while solving problems involving distance.

 Absolute Value Equations and Inequalities

G: Shapes and structures can be analyzed, visualized, measured and transformed using a variety of strategies, tools and technologies.

G.1: Classify two- and three-dimensional geometric figures based on their properties including relationships of sides and angles and symmetry (line and/or rotational) and apply this information to solve problems.

 Classifying Quadrilaterals

G.3: Draw the result of transformations on polygons on coordinate planes including translations, rotations, reflections and dilations (reductions and enlargements).

 Dilations
 Rotations, Reflections, and Translations

G.6: Identify and/or draw two-dimensional representations of three dimensional geometric solids using nets, cross-sections, front, side and top views to solve problems.

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

G.7: Use two-dimensional representations of rectangular prisms, pyramids and cylinders to determine surface area.

 Surface and Lateral Areas of Prisms and Cylinders

G.8: Use formulas to solve problems involving perimeters and areas of polygons and circles.

 Area of Parallelograms
 Area of Triangles
 Chocomatic (Multiplication, Arrays, and Area)
 Circumference and Area of Circles
 Fido's Flower Bed (Perimeter and Area)
 Perimeter and Area of Rectangles

G.9: Develop and use formulas to determine volumes of geometric solids (rectangular prisms and cylinders).

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

G.11: Write and solve problems in context involving conversions of customary or metric units and units of time.

 Unit Conversions

D: Data can be analyzed to make informed decisions using a variety of strategies, tools and technologies.

D.1: Formulate questions and design studies; e.g., surveys, experiments, research using published sources and the Internet; to collect and analyze data.

 Correlation
 Describing Data Using Statistics
 Movie Reviewer (Mean and Median)
 Reaction Time 2 (Graphs and Statistics)
 Real-Time Histogram
 Time Estimation

D.2: Organize and display data using appropriate graphical representation such as, tables and charts, line, bar and circle graphs, Venn diagrams, stem and leaf plots, scatter plots, histograms.

 Box-and-Whisker Plots
 Compound Inequalities
 Correlation
 Describing Data Using Statistics
 Distance-Time Graphs
 Elevator Operator (Line Graphs)
 Graphing Skills
 Histograms
 Prairie Ecosystem
 Reaction Time 1 (Graphs and Statistics)
 Reaction Time 2 (Graphs and Statistics)
 Solving Using Trend Lines
 Stem-and-Leaf Plots
 Trends in Scatter Plots

D.4: Find, use and interpret measures of central tendency and spread, including mean, median, mode, range and outliers.

 Box-and-Whisker Plots
 Describing Data Using Statistics
 Mean, Median, and Mode
 Movie Reviewer (Mean and Median)
 Populations and Samples
 Reaction Time 1 (Graphs and Statistics)
 Reaction Time 2 (Graphs and Statistics)
 Sight vs. Sound Reactions
 Stem-and-Leaf Plots

D.5: Compare two sets of data based on their spread and measures of central tendency.

 Box-and-Whisker Plots
 Describing Data Using Statistics
 Mean, Median, and Mode
 Movie Reviewer (Mean and Median)
 Reaction Time 1 (Graphs and Statistics)
 Reaction Time 2 (Graphs and Statistics)
 Real-Time Histogram

D.6: Identifying all possible outcomes using models, tree diagrams, tables and/or organized lists to determine theoretical probabilities.

 Independent and Dependent Events
 Permutations and Combinations
 Probability Simulations
 Spin the Big Wheel! (Probability)
 Theoretical and Experimental Probability

D.7: Perform experiments to determine experimental probabilities.

 Geometric Probability
 Independent and Dependent Events
 Probability Simulations
 Spin the Big Wheel! (Probability)
 Theoretical and Experimental Probability

D.8: Compare and contrast experimental probability results to theoretical probabilities in writing.

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

D.9: Solve probability problems in familiar contexts including simple events (flipping a coin) and compound events (flipping a coin and rolling a number cube).

 Independent and Dependent Events
 Theoretical and Experimental Probability

Correlation last revised: 5/9/2018

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