N: Number Sense, Properties, and Operations

N.1: In the real number system, positive rational numbers are represented in multiple equivalent forms

N.1.a: Read, write, compare, convert and order positive rational numbers in a variety of forms including proper and improper fractions, mixed numbers, decimals, and percents

 Comparing and Ordering Decimals
 Modeling Decimals (Area and Grid Models)
 Part-to-part and Part-to-whole Ratios
 Percents, Fractions, and Decimals
 Rational Numbers, Opposites, and Absolute Values

N.1.b: Express whole numbers as products of prime factors with exponents and use prime factorization to find the greatest common factor and least common multiple of two numbers

 Finding Factors with Area Models

N.1.d: Locate positive fractions and decimals on a number line

 Comparing and Ordering Decimals
 Fraction Garden (Comparing Fractions)
 Fractions Greater than One (Fraction Tiles)
 Modeling Decimals (Area and Grid Models)
 Modeling Fractions (Area Models)
 Rational Numbers, Opposites, and Absolute Values
 Treasure Hunter (Decimals on the Number Line)

N.2: Formulate, represent, and use algorithms with positive rational numbers flexibly, accurately, and efficiently

N.2.a: Model and compute the addition, subtraction, multiplication and division of positive fractions, decimals, and combinations of fractions and decimals

 Adding Fractions (Fraction Tiles)
 Adding Whole Numbers and Decimals (Base-10 Blocks)
 Adding and Subtracting Integers
 Adding on the Number Line
 Dividing Fractions
 Dividing Mixed Numbers
 Estimating Sums and Differences
 Fraction Garden (Comparing Fractions)
 Fractions Greater than One (Fraction Tiles)
 Fractions with Unlike Denominators
 Improper Fractions and Mixed Numbers
 Modeling Decimals (Area and Grid Models)
 Modeling Fractions (Area Models)
 Modeling Whole Numbers and Decimals (Base-10 Blocks)
 Multiplying Decimals (Area Model)
 Multiplying Fractions
 Multiplying Mixed Numbers
 Multiplying with Decimals
 Percents, Fractions, and Decimals
 Proportions and Common Multipliers
 Square Roots
 Subtracting Whole Numbers and Decimals (Base-10 Blocks)
 Sums and Differences with Decimals
 Toy Factory (Set Models of Fractions)
 Treasure Hunter (Decimals on the Number Line)

N.2.b: Solve multi-step word problems involving fractions, decimals and whole numbers

 Multiplying with Decimals
 Percents, Fractions, and Decimals
 Proportions and Common Multipliers
 Sums and Differences with Decimals

N.2.c: Estimate sums, differences, products and quotients of rational numbers using common fractions, common decimals, and whole numbers

 Adding Whole Numbers and Decimals (Base-10 Blocks)
 Dividing Fractions
 Dividing Mixed Numbers
 Estimating Sums and Differences
 Improper Fractions and Mixed Numbers
 Multiplying Decimals (Area Model)
 Multiplying Mixed Numbers
 Multiplying with Decimals
 Subtracting Whole Numbers and Decimals (Base-10 Blocks)
 Sums and Differences with Decimals

N.2.d: Compare and round positive numbers from thousandths through millions

 Integers, Opposites, and Absolute Values
 Rational Numbers, Opposites, and Absolute Values

N.3: Quantities can be expressed and compared using ratios and rates

N.3.b: Express the comparison of two whole number quantities using differences, part-to-part ratios, and part-to-whole ratios in real contexts, including investing and saving

 Rational Numbers, Opposites, and Absolute Values

N.3.c: Compute unit rates in real-world situations involving mixtures, concentrations, and distance-time relationships

 Household Energy Usage

P: Patterns, Functions, and Algebraic Structures

P.1: Patterns can be described using words, tables, and graphs

P.1.a: Extend the pattern and describe the rule for arithmetic and geometric sequences

 Arithmetic Sequences
 Arithmetic and Geometric Sequences
 Finding Patterns
 Geometric Sequences

P.1.b: Model linear situations using tables and graphs, and convert between these two representations

 Function Machines 2 (Functions, Tables, and Graphs)
 Function Machines 3 (Functions and Problem Solving)
 Slope-Intercept Form of a Line

P.1.c: Given a linear equation, substitute non-negative input values to create a table and graph coordinate points in the first quadrant

 Points, Lines, and Equations
 Slope-Intercept Form of a Line

P.2: Variables are used to represent unknown quantities

P.2.a: Describe patterns by using words and variables with mathematical symbols

 Arithmetic Sequences
 Geometric Sequences

D: Data Analysis, Statistics, and Probability

D.1: Questions can be answered by collecting and analyzing data and data displays

D.1.a: Formulate questions for populations larger than the classroom

 Polling: Neighborhood
 Real-Time Histogram

D.1.b: Recognize that a sample may not represent a population accurately

 Polling: City
 Polling: Neighborhood

D.1.c: Recognize bias in surveys

 Polling: Neighborhood

D.1.d: Utilize appropriate techniques to design a random sample

 Polling: City
 Polling: Neighborhood

D.2: Mathematical models are used to determine probability

D.2.a: Determine probabilities through experiments or simulations

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

D.2.b: Express the probability of an event using fractions, decimals, and percents

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

D.2.c: Make a table, tree diagram or an organized list to determine possible outcomes of two or more compound events

 Permutations and Combinations

D.2.d: Predict outcomes of events using experimental and theoretical probabilities

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

S: Shape, Dimension, and Geometric Relationships

S.1: Polygons can be described, classified, and analyzed by their attributes

S.1.a: Develop and apply formulas and procedures for finding area of triangles, parallelograms, and trapezoids

 Area of Parallelograms
 Area of Triangles
 Perimeter and Area of Rectangles

S.1.c: Classify triangles and apply angle and side properties, including the sum of the interior angles

 Classifying Triangles
 Concurrent Lines, Medians, and Altitudes
 Isosceles and Equilateral Triangles
 Pythagorean Theorem with a Geoboard
 Triangle Angle Sum
 Triangle Inequalities

S.2: Standard units provide common language for communicating measurements

S.2.a: Connect metric prefixes to place value

 Unit Conversions

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.