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

6.6.01: Read, write, recognize, and model equivalent representations of whole numbers and their place values.

 Modeling Decimals (Base-10 Blocks)

6.6.02: Read, write, recognize, model, and interpret numerical expressions from a given description or situation.

 Order of Operations
 Simplifying Algebraic Expressions I
 Simplifying Algebraic Expressions II

6.6.03: Read, write, recognize, and model equivalent representations of fractions, including improper fractions and mixed numbers.

 Adding Fractions (Fraction Tiles)
 Factor Trees (Factoring Numbers)
 Fraction Artist 1 (Area Models of Fractions)
 Fraction Artist 2 (Area Models of Fractions)
 Fraction Garden (Comparing Fractions)
 Fractions Greater than One (Fraction Tiles)
 Fractions with Unlike Denominators
 Improper Fractions and Mixed Numbers
 Modeling Fractions (Area Models)
 Toy Factory (Set Models of Fractions)

6.6.04: Recognize, translate between, and apply multiple representations of decimals, fractions, percents (less than 100%), and mixed numbers (halves, quarters, fifths, and tenths).

 Modeling Decimals (Area and Grid Models)
 Part-to-part and Part-to-whole Ratios
 Percents, Fractions, and Decimals

6.6.05: Read, write, recognize, and model equivalent representations of decimals and their place values through thousandths.

 Modeling Decimals (Area and Grid Models)
 Modeling Decimals (Base-10 Blocks)

6.6.07: Order and compare whole numbers.

 Modeling Decimals (Base-10 Blocks)
 Rational Numbers, Opposites, and Absolute Values

6.6.08: Order and compare decimals through thousandths.

 Adding Decimals (Base-10 Blocks)
 Comparing and Ordering Decimals
 Modeling Decimals (Area and Grid Models)
 Modeling Decimals (Base-10 Blocks)
 Rational Numbers, Opposites, and Absolute Values
 Subtracting Decimals (Base-10 Blocks)
 Treasure Hunter (Decimals on the Number Line)

6.6.09: Order and compare fractions and mixed numbers having like or unlike denominators.

 Adding Fractions (Fraction Tiles)
 Fraction Artist 2 (Area Models of Fractions)
 Fraction Garden (Comparing Fractions)
 Fractions Greater than One (Fraction Tiles)
 Modeling Fractions (Area Models)
 Rational Numbers, Opposites, and Absolute Values
 Toy Factory (Set Models of Fractions)

6.6.10: Identify and locate decimals, fractions, and mixed numbers on a number line.

 Comparing and Ordering Decimals
 Modeling Decimals (Area and Grid Models)
 Treasure Hunter (Decimals on the Number Line)

6.6.11: Solve problems involving descriptions of numbers, including characteristics and relationships (e.g., odd/even, factors/multiples, greater than, less than, square numbers, primes).

 Chocomatic (Multiplication, Arrays, and Area)
 Comparing and Ordering Decimals
 Factor Trees (Factoring Numbers)
 Rational Numbers, Opposites, and Absolute Values

6.6.12: Solve problems and number sentences involving addition, subtraction, multiplication, and division using whole numbers.

 Adding Decimals (Base-10 Blocks)
 Cargo Captain (Multi-digit Subtraction)
 Subtracting Decimals (Base-10 Blocks)
 Sums and Differences with Decimals

6.6.13: Solve problems and number sentences involving addition, subtraction, and multiplication of decimals.

 Adding Decimals (Base-10 Blocks)
 Multiplying Decimals (Area Model)
 Multiplying with Decimals
 Square Roots
 Subtracting Decimals (Base-10 Blocks)
 Sums and Differences with Decimals

6.6.14: Solve problems involving addition and subtraction of fractions and mixed numbers, and express answers in simplest form.

 Adding Fractions (Fraction Tiles)
 Estimating Sums and Differences
 Fractions Greater than One (Fraction Tiles)
 Fractions with Unlike Denominators
 Modeling Fractions (Area Models)

6.6.15: Identify and apply order of operations to simplify numeric expressions involving whole numbers.

 Order of Operations

6.6.16: Solve problems involving the commutative, distributive, and associative properties of operations on whole numbers [e.g., (5×7)×2 = 5×(7×2)].

 Chocomatic (Multiplication, Arrays, and Area)

6.6.18: Identify and express ratios using appropriate notation (i.e., a/b, a to b, a:b), identify equivalent ratios, and explain ratios that represent a given situation.

 Beam to Moon (Ratios and Proportions)
 Estimating Population Size
 Part-to-part and Part-to-whole Ratios
 Percents, Fractions, and Decimals
 Proportions and Common Multipliers
 Rational Numbers, Opposites, and Absolute Values
 Road Trip (Problem Solving)

6.6.19: Solve problems involving proportional relationships, including unit pricing (e.g., seven apples cost $1.40, so nine apples cost $1.80).

 Beam to Moon (Ratios and Proportions)
 Geometric Probability
 Percents and Proportions
 Proportions and Common Multipliers

6.6.20: Read, write, recognize, and model percents from 0% to 100%.

 Percent of Change
 Percents and Proportions
 Percents, Fractions, and Decimals

6.6.21: Solve number sentences and problems involving percents.

 Percent of Change
 Percents, Fractions, and Decimals
 Real-Time Histogram
 Time Estimation

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

7.6.01: Select and use appropriate standard units and tools to measure length, mass/weight, capacity, and angles.

 Beam to Moon (Ratios and Proportions)
 Measuring Trees

7.6.02: Solve problems involving the perimeter and area of a triangle, parallelogram, or irregular shape using diagrams, models, and grids or by measuring or using given formulas (may include sketching a figure from its description).

 Area of Parallelograms
 Area of Triangles
 Balancing Blocks (Volume)
 Chocomatic (Multiplication, Arrays, and Area)
 Fido's Flower Bed (Perimeter and Area)
 Perimeter and Area of Rectangles

7.6.03: Compare and estimate length (including perimeter), area, volume, weight/mass, and angles (0° to 180°) using referents.

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

7.6.04: Determine the volume of a right rectangular prism using an appropriate formula or strategy.

 Balancing Blocks (Volume)
 Prisms and Cylinders
 Surface and Lateral Areas of Prisms and Cylinders

7.6.05: Solve problems involving unit conversions within the same measurement system for time, length, and weight/mass, including compound units (e.g., 5ft 5in, 2lbs 2oz).

 Unit Conversions

7.6.06: Solve problems involving scale drawings and maps.

 Points in the Coordinate Plane

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

8.6.01: Determine a missing term in a sequence, extend a sequence, and construct and identify a rule that can generate the terms of a given sequence (e.g., 3, 6, 9,... is explained by the rule 3n, for n is greater than or equal to 1).

 Arithmetic Sequences
 Arithmetic and Geometric Sequences
 Finding Patterns
 Geometric Sequences
 Multiplying Fractions

8.6.02: Write an expression using variables to represent unknown quantities.

 Solving Equations on the Number Line
 Using Algebraic Equations
 Using Algebraic Expressions

8.6.03: Evaluate algebraic expressions with up to two whole number variable values (e.g., evaluate 3m + n + 3 when m = 4 and n = 2).

 Solving Equations on the Number Line

8.6.04: Determine a rule having two operations from an input-output table (e.g., multiply by 3 and add 2).

 Function Machines 1 (Functions and Tables)

8.6.05: Select a table of values that satisfies a linear equation, and recognize the ordered pairs on a rectangular coordinate system.

 Function Machines 2 (Functions, Tables, and Graphs)
 Function Machines 3 (Functions and Problem Solving)
 Points, Lines, and Equations

8.6.06: Translate between different representations (table, written, or pictorial) of whole number relationships.

 Function Machines 1 (Functions and Tables)
 Geometric Sequences

8.6.07: Identify graphs of inequalities on a number line.

 Absolute Value Equations and Inequalities
 Comparing and Ordering Decimals
 Compound Inequalities
 Rational Numbers, Opposites, and Absolute Values
 Solving Linear Inequalities in One Variable

8.6.08: Represent problems with equations and inequalities.

 Comparing and Ordering Decimals
 Linear Inequalities in Two Variables
 Solving Equations on the Number Line
 Using Algebraic Equations

8.6.09: Solve for the unknown in an equation with one operation (e.g., 8x = 24, m÷2=25).

 Solving Equations on the Number Line

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

9.6.03: Solve problems using properties of triangles and quadrilaterals (e.g., sum of interior angles of a quadrilateral is 360°).

 Concurrent Lines, Medians, and Altitudes
 Similarity in Right Triangles
 Triangle Angle Sum
 Triangle Inequalities

9.6.05: Graph, locate, identify points, describe paths, and plot figures using ordered pairs (first quadrant).

 City Tour (Coordinates)
 Function Machines 2 (Functions, Tables, and Graphs)
 Points in the Coordinate Plane
 Points, Lines, and Equations
 Slope

9.6.06: Identify, describe, and predict results of reflections, translations, and rotations of two-dimensional shapes.

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

9.6.09: Identify a three-dimensional object from its net.

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

9.6.11: Identify congruent and similar figures by visual inspection.

 Rock Art (Transformations)

9.6.12: Determine if figures are similar, and identify relationships between corresponding parts of similar figures.

 Similarity in Right Triangles

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

10.6.01: Read, interpret, and make predictions from data represented in a bar graph, line (dot) plot, Venn diagram (with two circles), chart/table, line graph, or circle graph.

 Compound Inequalities
 Elevator Operator (Line Graphs)
 Graphing Skills
 Mean, Median, and Mode
 Prairie Ecosystem
 Reaction Time 1 (Graphs and Statistics)

10.6.02: Compare different representations of the same data.

 Box-and-Whisker Plots
 Graphing Skills
 Mascot Election (Pictographs and Bar Graphs)
 Movie Reviewer (Mean and Median)
 Reaction Time 2 (Graphs and Statistics)

10.6.03: Create a bar graph, chart/table, line graph, or circle graph with common referents (1/4, 50%, .75) for a given set of data.

 Graphing Skills
 Mascot Election (Pictographs and Bar Graphs)
 Reaction Time 1 (Graphs and Statistics)

10.6.04: Determine the mode, range, median, and mean, given a set of data or a graph.

 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

10.6.05: Solve problems involving the probability of a simple event, including representing the probability as a fraction, decimal, or percent.

 Independent and Dependent Events
 Theoretical and Experimental Probability

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.