6: Demonstrate and apply a knowledge and sense of numbers, including numeration and operations (addition, subtraction, multiplication, division), patterns, ratios and proportions.

6.A: Demonstrate knowledge and use of numbers and their representations in a broad range of theoretical and practical settings.

6.A.3: Represent fractions, decimals, percentages, exponents and scientific notation in equivalent forms.

 Dividing Mixed Numbers
 Estimating Sums and Differences
 Fraction Artist 1 (Area Models of Fractions)
 Fraction Garden (Comparing Fractions)
 Improper Fractions and Mixed Numbers
 Modeling Decimals (Area and Grid Models)
 Modeling Decimals (Base-10 Blocks)
 Modeling Fractions (Area Models)
 Part-to-part and Part-to-whole Ratios
 Percents, Fractions, and Decimals
 Rational Numbers, Opposites, and Absolute Values
 Toy Factory (Set Models of Fractions)
 Unit Conversions
 Unit Conversions 2 - Scientific Notation and Significant Digits

6.B: Investigate, represent and solve problems using number facts, operations (addition, subtraction, multiplication, division) and their properties, algorithms and relationships.

6.B.3a: Solve practical computation problems involving whole numbers, integers and rational numbers.

 Adding on the Number Line
 Cargo Captain (Multi-digit Subtraction)
 Dividing Mixed Numbers
 Improper Fractions and Mixed Numbers
 Multiplying Fractions
 Multiplying Mixed Numbers
 Multiplying with Decimals
 Sums and Differences with Decimals

6.B.3b: Apply primes, factors, divisors, multiples, common factors and common multiples in solving problems.

 Chocomatic (Multiplication, Arrays, and Area)
 Factor Trees (Factoring Numbers)
 Finding Factors with Area Models
 Operations with Radical Expressions

6.B.3c: Identify and apply properties of real numbers including pi, squares, and square roots.

 Square Roots

6.C: Compute and estimate using mental mathematics, paper-and-pencil methods, calculators and computers.

6.C.3a: Select computational procedures and solve problems with whole numbers, fractions, decimals, percents and proportions.

 Beam to Moon (Ratios and Proportions)
 Comparing and Ordering Decimals
 Direct and Inverse Variation
 Estimating Population Size
 Estimating Sums and Differences
 Fraction Artist 1 (Area Models of Fractions)
 Fraction Garden (Comparing Fractions)
 Geometric Probability
 Modeling Decimals (Area and Grid Models)
 Modeling Decimals (Base-10 Blocks)
 Modeling Fractions (Area Models)
 Multiplying Decimals (Area Model)
 Multiplying with Decimals
 Part-to-part and Part-to-whole Ratios
 Percent of Change
 Percents, Fractions, and Decimals
 Proportions and Common Multipliers
 Real-Time Histogram
 Sums and Differences with Decimals
 Time Estimation
 Toy Factory (Set Models of Fractions)
 Treasure Hunter (Decimals on the Number Line)

6.C.3b: Show evidence that computational results using whole numbers, fractions, decimals, percents and proportions are correct and/or that estimates are reasonable.

 Comparing and Ordering Decimals
 Fraction Garden (Comparing Fractions)
 Modeling Decimals (Area and Grid Models)
 Modeling Decimals (Base-10 Blocks)
 Modeling Fractions (Area Models)
 Multiplying Decimals (Area Model)
 Toy Factory (Set Models of Fractions)

6.D: Solve problems using comparison of quantities, ratios, proportions and percents.

6.D.3: Apply ratios and proportions to solve practical problems.

 Beam to Moon (Ratios and Proportions)
 Direct and Inverse Variation
 Estimating Population Size
 Part-to-part and Part-to-whole Ratios
 Proportions and Common Multipliers
 Road Trip (Problem Solving)

7: Estimate, make and use measurements of objects, quantities and relationships and determine acceptable levels of accuracy.

7.A: Measure and compare quantities using appropriate units, instruments and methods.

7.A.3a: Measure length, capacity, weight/mass and angles using sophisticated instruments (e.g., compass, protractor, trundle wheel).

 Beam to Moon (Ratios and Proportions)
 Measuring Trees

7.A.3b: Apply the concepts and attributes of length, capacity, weight/mass, perimeter, area, volume, time, temperature and angle measures in practical situations.

 Area of Parallelograms
 Beam to Moon (Ratios and Proportions)
 Fido's Flower Bed (Perimeter and Area)
 Measuring Trees
 Perimeter and Area of Rectangles
 Prisms and Cylinders
 Similar Figures

7.C: Select and use appropriate technology, instruments and formulas to solve problems, interpret results and communicate findings.

7.C.3b: Use concrete and graphic models and appropriate formulas to find perimeters, areas, surface areas and volumes of two- and three-dimensional regions.

 Area of Parallelograms
 Area of Triangles
 Balancing Blocks (Volume)
 Chocomatic (Multiplication, Arrays, and Area)
 Circumference and Area of Circles
 Fido's Flower Bed (Perimeter and Area)
 Perimeter and Area of Rectangles
 Perimeters and Areas of Similar Figures
 Prisms and Cylinders
 Pyramids and Cones
 Surface and Lateral Areas of Prisms and Cylinders
 Surface and Lateral Areas of Pyramids and Cones

8: Use algebraic and analytical methods to identify and describe patterns and relationships in data, solve problems and predict results.

8.A: Describe numerical relationships using variables and patterns.

8.A.3a: Apply the basic properties of commutative, associative, distributive, transitive, inverse, identity, zero, equality and order of operations to solve problems.

 Chocomatic (Multiplication, Arrays, and Area)
 Order of Operations
 Solving Two-Step Equations
 Square Roots
 Using Algebraic Equations

8.A.3b: Solve problems using linear expressions, equations and inequalities.

 Absolute Value with Linear Functions
 Compound Inequalities
 Dividing Exponential Expressions
 Equivalent Algebraic Expressions I
 Equivalent Algebraic Expressions II
 Exploring Linear Inequalities in One Variable
 Linear Inequalities in Two Variables
 Modeling One-Step Equations
 Modeling and Solving Two-Step Equations
 Multiplying Exponential Expressions
 Operations with Radical Expressions
 Order of Operations
 Point-Slope Form of a Line
 Simplifying Algebraic Expressions I
 Simplifying Algebraic Expressions II
 Solving Algebraic Equations II
 Solving Equations by Graphing Each Side
 Solving Linear Inequalities in One Variable
 Standard Form of a Line
 Systems of Linear Inequalities (Slope-intercept form)

8.B: Interpret and describe numerical relationships using tables, graphs and symbols.

8.B.3: Use graphing technology and algebraic methods to analyze and predict linear relationships and make generalizations from linear patterns.

 Arithmetic and Geometric Sequences

8.D: Use algebraic concepts and procedures to represent and solve problems.

8.D.3a: Solve problems using numeric, graphic or symbolic representations of variables, expressions, equations and inequalities.

 Circles
 Compound Interest
 Linear Inequalities in Two Variables
 Solving Equations on the Number Line

8.D.3b: Propose and solve problems using proportions, formulas and linear functions.

 Absolute Value with Linear Functions
 Arithmetic Sequences
 Beam to Moon (Ratios and Proportions)
 Compound Interest
 Direct and Inverse Variation
 Estimating Population Size
 Function Machines 2 (Functions, Tables, and Graphs)
 Function Machines 3 (Functions and Problem Solving)
 Geometric Probability
 Linear Functions
 Part-to-part and Part-to-whole Ratios
 Proportions and Common Multipliers
 Slope-Intercept Form of a Line

8.D.3c: Apply properties of powers, perfect squares and square roots.

 Dividing Exponential Expressions
 Exponents and Power Rules
 Multiplying Exponential Expressions
 Operations with Radical Expressions
 Simplifying Radical Expressions
 Square Roots

9: Use geometric methods to analyze, categorize and draw conclusions about points, lines, planes and space.

9.A: Demonstrate and apply geometric concepts involving points, lines, planes and space.

9.A.3a: Draw or construct two- and three- dimensional geometric figures including prisms, pyramids, cylinders and cones.

 Segment and Angle Bisectors
 Surface and Lateral Areas of Pyramids and Cones

9.A.3b: Draw transformation images of figures, with and without the use of technology.

 Dilations
 Reflections
 Rotations, Reflections, and Translations
 Translations

9.A.3c: Use concepts of symmetry, congruency, similarity, scale, perspective, and angles to describe and analyze two- and three-dimensional shapes found in practical applications (e.g., geodesic domes, A-frame houses, basketball courts, inclined planes, art forms, blueprints).

 Circles

9.B: Identify, describe, classify and compare relationships using points, lines, planes and solids.

9.B.3: Identify, describe, classify and compare two- and three- dimensional geometric figures and models according to their properties.

 Classifying Quadrilaterals
 Classifying Triangles
 Parallelogram Conditions
 Similar Figures
 Special Parallelograms

9.D: Use trigonometric ratios and circular functions to solve problems.

9.D.3: Compute distances, lengths and measures of angles using proportions, the Pythagorean theorem and its converse.

 Circles
 Distance Formula
 Pythagorean Theorem
 Pythagorean Theorem with a Geoboard
 Road Trip (Problem Solving)

10: Collect, organize and analyze data using statistical methods; predict results; and interpret uncertainty using concepts of probability.

10.A: Organize, describe and make predictions from existing data.

10.A.3a: Construct, read and interpret tables, graphs (including circle graphs) and charts to organize and represent data.

 Describing Data Using Statistics
 Distance-Time Graphs
 Graphing Skills
 Mascot Election (Pictographs and Bar Graphs)
 Reaction Time 2 (Graphs and Statistics)
 Stem-and-Leaf Plots

10.A.3b: Compare the mean, median, mode and range, with and without the use of technology.

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

10.A.3c: Test the reasonableness of an argument based on data and communicate their findings.

 Box-and-Whisker Plots

10.B: Formulate questions, design data collection methods, gather and analyze data and communicate findings.

10.B.3: Formulate questions (e.g., relationships between car age and mileage, average incomes and years of schooling), devise and conduct experiments or simulations, gather data, draw conclusions and communicate results to an audience using traditional methods and contemporary technologies.

 Box-and-Whisker Plots
 Conditional Statements
 Correlation
 Describing Data Using Statistics
 Graphing Skills
 Mascot Election (Pictographs and Bar Graphs)
 Movie Reviewer (Mean and Median)
 Reaction Time 2 (Graphs and Statistics)
 Real-Time Histogram
 Stem-and-Leaf Plots
 Time Estimation

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.