NO: Number and Operations

NO.1: Students shall understand numbers, ways of representing numbers, relationships among numbers and number systems.

NO.1.1: Relate, with and without models and pictures, concepts of ratio, proportion, and percent, including percents less than 1 and greater than 100

 Beam to Moon (Ratios and Proportions)
 Part-to-part and Part-to-whole Ratios
 Percent of Change
 Percents and Proportions
 Percents, Fractions, and Decimals
 Proportions and Common Multipliers

NO.1.2: Demonstrate, with and without appropriate technology, an understanding of place value using powers of 10 and write numbers greater than one in scientific notation

 Unit Conversions
 Unit Conversions 2 - Scientific Notation and Significant Digits

NO.1.3: Convert between scientific notation and standard notation using numbers greater than one.

 Unit Conversions 2 - Scientific Notation and Significant Digits

NO.1.5: Compare and represent integers, fractions, decimals and mixed numbers and find their approximate location on a number line

 Adding Fractions (Fraction Tiles)
 Adding on the Number Line
 Comparing and Ordering Decimals
 Fraction Garden (Comparing Fractions)
 Fractions Greater than One (Fraction Tiles)
 Integers, Opposites, and Absolute Values
 Rational Numbers, Opposites, and Absolute Values
 Toy Factory (Set Models of Fractions)

NO.2: Students shall understand meanings of operations and how they relate to one another.

NO.2.2: Apply the addition, subtraction, multiplication and division properties of equality to onestep equations with integers, fractions, and decimals

 Solving Algebraic Equations II

NO.2.3: Apply rules (conventions) for order of operations to integers and positive rational numbers including parentheses, brackets or exponents

 Order of Operations

NO.2.4: Model and develop addition, subtraction, multiplication and division of integers

 Adding and Subtracting Integers
 Adding on the Number Line
 Addition of Polynomials

NO.3: Students shall compute fluently and make reasonable estimates.

NO.3.1: Compute, with and without appropriate technology, with integers and positive rational numbers using real-world situations to solve problems

 Adding on the Number Line
 Dividing Mixed Numbers
 Improper Fractions and Mixed Numbers
 Multiplying Mixed Numbers
 Multiplying with Decimals
 Sums and Differences with Decimals

NO.3.3: Determine when an Estimate is sufficient and use Estimation to decide whether answers are reasonable in problems including fractions and decimals

 Estimating Sums and Differences

NO.3.4: Apply factorization, LCM, and GCF to solve problems using more than two numbers and explain the solution

 Finding Factors with Area Models

NO.3.5: Represent and solve problem situations that can be modeled by and solved using concepts of absolute value, exponents and square roots (for perfect squares) with and without appropriate technology

 Absolute Value Equations and Inequalities
 Absolute Value with Linear Functions
 Rational Numbers, Opposites, and Absolute Values
 Square Roots

NO.3.6: Solve, with and without technology, real world percent problems

 Percents, Fractions, and Decimals

A: Algebra

A.4: Students shall recognize, describe and develop patterns, relations and functions.

A.4.1: Create and complete a function table (input/output) using a given rule with two operations

 Function Machines 1 (Functions and Tables)
 Function Machines 3 (Functions and Problem Solving)

A.4.2: Identify and extend patterns in real world situations

 Arithmetic Sequences
 Finding Patterns
 Geometric Sequences

A.5: Students shall represent and analyze mathematical situations and structures using algebraic symbols.

A.5.1: Solve and graph one-step linear equations and inequalities using a variety of methods (i.e., hands-on, inverse operations, symbolic) with real world application with and without technology

 Compound Inequalities
 Linear Inequalities in Two Variables
 Point-Slope Form of a Line
 Solving Equations by Graphing Each Side
 Standard Form of a Line

A.5.2: Solve simple linear equations using integers and graph on a coordinate plane

 Points, Lines, and Equations

A.5.3: Translate phrases and sentences into algebraic expressions and equations including parentheses and positive and rational numbers and simplify algebraic expressions by combining like terms

 Addition of Polynomials
 Improper Fractions and Mixed Numbers
 Multiplying with Decimals
 Simplifying Algebraic Expressions I
 Simplifying Algebraic Expressions II
 Solving Equations on the Number Line

G: Geometry

G.8: Students shall analyze characteristics and properties of 2 and 3 dimensional geometric shapes and develop mathematical arguments about geometric relationships.

G.8.1: Identify, draw, classify and compare geometric figures using models and real world examples

 Classifying Quadrilaterals

G.8.2: Investigate geometric properties and their relationships in one, two and three dimensions models, including convex and concave polygons

 Classifying Quadrilaterals

G.8.3: Recognize the pairs of angles formed and the relationship between the angles including two intersecting lines and parallel lines cut by a transversal (vertical, supplementary, complementary, corresponding, alternate interior, alternate exterior angles and

 Triangle Angle Sum

G.8.4: Use paper or physical models to determine the sum of the measures of interior angles of triangles and quadrilaterals

 Triangle Angle Sum

G.8.6: Develop the properties of similar figures (ratio of sides and congruent angles)

 Similar Figures

G.9: Students shall apply transformations and the use of symmetry to analyze mathematical situations.

G.9.1: Examine the congruence, similarity, and line or rotational symmetry of objects using transformations

 Holiday Snowflake Designer
 Rock Art (Transformations)
 Rotations, Reflections, and Translations

G.9.2: Perform translations and reflections of two-dimensional figures using a variety of methods (paper folding, tracing, graph paper)

 Holiday Snowflake Designer
 Rock Art (Transformations)

G.10: Students shall specify locations and describe spatial relationships using coordinate geometry and other representational systems.

G.10.1: Plot points in the coordinate plane

 City Tour (Coordinates)
 Elevator Operator (Line Graphs)
 Function Machines 2 (Functions, Tables, and Graphs)
 Function Machines 3 (Functions and Problem Solving)
 Points in the Coordinate Plane

G.11: Students shall use visualization, spatial reasoning and geometric modeling.

G.11.1: Build three-dimensional solids from two-dimensional patterns (nets)

 Surface and Lateral Areas of Prisms and Cylinders

M: Measurement

M.12: Students shall use attributes of measurement to describe and compare mathematical and real-world objects.

M.12.2: Understand relationships among units within the same system

 Unit Conversions

M.12.3: Find different areas for a given perimeter and find a different perimeter for a given area

 Circumference and Area of Circles
 Fido's Flower Bed (Perimeter and Area)
 Perimeter and Area of Rectangles

M.13: Students shall identify and use units, systems and processes of measurement.

M.13.1: Solve real world problems involving two or more elapsed times, counting forward and backward (calendar and clock)

 Elapsed Time

M.13.4: Derive and use formulas for surface area and volume of prisms and cylinders and justify them using geometric models and common materials

 Surface and Lateral Areas of Prisms and Cylinders

M.13.5: Apply properties (scale factors, ratio, and proportion) of congruent or similar triangles to solve problems involving missing lengths and angle measures

 Similar Figures

M.13.7: Estimate and compute the area of more complex or irregular two-dimensional shapes by dividing them into more basic shapes

 Area of Triangles
 Fido's Flower Bed (Perimeter and Area)

DAP: Data Analysis and Probability

DAP.14: Students shall formulate questions that can be addressed with data and collect, organize and display relevant data to answer them.

DAP.14.1: Identify different ways of selecting samples and compose appropriate questions

 Describing Data Using Statistics
 Movie Reviewer (Mean and Median)
 Reaction Time 2 (Graphs and Statistics)

DAP.14.2: Explain which types of display are appropriate for various data sets (line graph for change over time, circle graph for part-to-whole comparison, scatter plot for trends)

 Elevator Operator (Line Graphs)
 Graphing Skills

DAP.14.3: Construct and interpret circle graphs, box-and-whisker plots, histograms, scatter plots and double line graphs with and without appropriate technology

 Box-and-Whisker Plots
 Distance-Time Graphs
 Elevator Operator (Line Graphs)
 Graphing Skills
 Prairie Ecosystem
 Reaction Time 2 (Graphs and Statistics)
 Real-Time Histogram
 Sight vs. Sound Reactions
 Solving Using Trend Lines
 Stem-and-Leaf Plots
 Trends in Scatter Plots

DAP.15: Students shall select and use appropriate statistical methods to analyze data.

DAP.15.1: Analyze data displays, including ways that they can be misleading

 Graphing Skills
 Polling: City
 Populations and Samples
 Reaction Time 2 (Graphs and Statistics)

DAP.15.2: Analyze, with and without appropriate technology, a set of data by using and comparing measures of central tendencies (mean, median, mode) and measures of spread (range, quartile, interquartile range)

 Describing Data Using Statistics
 Movie Reviewer (Mean and Median)
 Populations and Samples
 Reaction Time 2 (Graphs and Statistics)

DAP.17: Students shall understand and apply basic concepts of probability.

DAP.17.1: Understand that probability can take any value between 0 and 1 (events that are not going to occur have probability 0, events certain to occur have probability 1)

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

Correlation last revised: 5/8/2018

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