Curriculum Frameworks

6.N.2: Demonstrate an understanding of place value to billions and thousandths.

Cannonball Clowns (Number Line Estimation)

Number Systems

Rounding Whole Numbers (Number Line)

Target Sum Card Game (Multi-digit Addition)

6.N.3: Represent and compare very large (billions) and very small (thousandths) positive numbers in various forms such as expanded notation without exponents, e.g., 9724 = 9 x 1000 + 7 x 100 + 2 x 10 + 4.

6.N.4: Demonstrate an understanding of fractions as a ratio of whole numbers, as parts of unit wholes, as parts of a collection, and as locations on the number line.

Beam to Moon (Ratios and Proportions)

Equivalent Fractions (Fraction Tiles)

Fraction Artist 1 (Area Models of Fractions)

Fraction Artist 2 (Area Models of Fractions)

Fraction Garden (Comparing Fractions)

Fraction, Decimal, Percent (Area and Grid Models)

Fractions Greater than One (Fraction Tiles)

Modeling Fractions (Area Models)

Percents, Fractions, and Decimals

Rational Numbers, Opposites, and Absolute Values

Toy Factory (Set Models of Fractions)

6.N.5: Identify and determine common equivalent fractions, mixed numbers, decimals, and percents.

Dividing Mixed Numbers

Fraction, Decimal, Percent (Area and Grid Models)

Improper Fractions and Mixed Numbers

Modeling Decimals (Area and Grid Models)

Part-to-part and Part-to-whole Ratios

Percents, Fractions, and Decimals

6.N.6: Find and position integers, fractions, mixed numbers, and decimals (both positive and negative) on the number line.

Adding and Subtracting Integers

Adding on the Number Line

Fractions Greater than One (Fraction Tiles)

Integers, Opposites, and Absolute Values

6.N.7: Compare and order integers (including negative integers), and positive fractions, mixed numbers, decimals, and percents.

Adding Decimals (Base-10 Blocks)

Comparing and Ordering Decimals

Fraction, Decimal, Percent (Area and Grid Models)

Integers, Opposites, and Absolute Values

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.N.8: Apply number theory concepts-including prime and composite numbers, prime factorization, greatest common factor, least common multiple, and divisibility rules for 2, 3, 4, 5, 6, 9, and 10-to the solution of problems.

Chocomatic (Multiplication, Arrays, and Area)

Pattern Flip (Patterns)

6.N.9: Select and use appropriate operations to solve problems involving addition, subtraction, multiplication, division, and positive integer exponents with whole numbers, and with positive fractions, mixed numbers, decimals, and percents.

Adding Decimals (Base-10 Blocks)

Cargo Captain (Multi-digit Subtraction)

Number Line Frog Hop (Addition and Subtraction)

Subtracting Decimals (Base-10 Blocks)

6.N.10: Use the number line to model addition and subtraction of integers, with the exception of subtracting negative integers.

Adding and Subtracting Integers

Adding on the Number Line

Addition of Polynomials

6.N.11: Apply the Order of Operations for expressions involving addition, subtraction, multiplication, and division with grouping symbols (+, -, x, รท).

6.N.13: Accurately and efficiently add, subtract, multiply, and divide (with double-digit divisors) whole numbers and positive decimals.

Adding Decimals (Base-10 Blocks)

Cargo Captain (Multi-digit Subtraction)

Critter Count (Modeling Multiplication)

Multiplying Decimals (Area Model)

Multiplying with Decimals

No Alien Left Behind (Division with Remainders)

Number Line Frog Hop (Addition and Subtraction)

Square Roots

Subtracting Decimals (Base-10 Blocks)

Sums and Differences with Decimals

Target Sum Card Game (Multi-digit Addition)

6.N.14: Accurately and efficiently add, subtract, multiply, and divide positive fractions and mixed numbers. Simplify fractions.

Adding Fractions (Fraction Tiles)

Dividing Fractions

Dividing Mixed Numbers

Equivalent Fractions (Fraction Tiles)

Estimating Sums and Differences

Factor Trees (Factoring Numbers)

Fraction Artist 2 (Area Models of Fractions)

Fractions Greater than One (Fraction Tiles)

Fractions with Unlike Denominators

Improper Fractions and Mixed Numbers

Modeling Fractions (Area Models)

Multiplying Fractions

Multiplying Mixed Numbers

Toy Factory (Set Models of Fractions)

6.N.15: Add and subtract integers, with the exception of subtracting negative integers.

Adding and Subtracting Integers

Adding on the Number Line

Addition of Polynomials

6.N.16: Estimate results of computations with whole numbers, and with positive fractions, mixed numbers, decimals, and percents. Describe reasonableness of estimates.

Cannonball Clowns (Number Line Estimation)

Multiplying Decimals (Area Model)

6.P.1: Analyze and determine the rules for extending symbolic, arithmetic, and geometric patterns and progressions, e.g., ABBCCC; 1, 5, 9, 13 ...; 3, 9, 27, ....

Finding Patterns

Function Machines 1 (Functions and Tables)

Pattern Flip (Patterns)

6.P.2: Replace variables with given values and evaluate/simplify, e.g., 2(x) + 3 when x = 4.

Equivalent Algebraic Expressions I

Equivalent Algebraic Expressions II

6.P.3: Use the properties of equality to solve problems, e.g., if __ + 7 = 13, then = 13 - 7, therefore __ = 6; if 3 x __ = 15, then 1/3 x 3 x __ = 1/3 x 15, therefore __ = 5.

Solving Two-Step Equations

Using Algebraic Equations

6.P.4: Represent real situations and mathematical relationships with concrete models, tables, graphs, and rules in words and with symbols, e.g., input-output tables.

Improper Fractions and Mixed Numbers

Multiplying with Decimals

Using Algebraic Expressions

6.P.5: Solve linear equations using concrete models, tables, graphs, and paper-pencil methods.

Modeling One-Step Equations

Points, Lines, and Equations

Solving Equations by Graphing Each Side

Solving Equations on the Number Line

Solving Two-Step Equations

6.P.6: Produce and interpret graphs that represent the relationship between two variables in everyday situations.

Points in the Coordinate Plane

Slope-Intercept Form of a Line

6.G.1: Identify polygons based on their properties, including types of interior angles, perpendicular or parallel sides, and congruence of sides, e.g., squares, rectangles, rhombuses, parallelograms, trapezoids, and isosceles, equilateral, and right triangles.

Classifying Quadrilaterals

Classifying Triangles

Perimeter and Area of Rectangles

Triangle Angle Sum

6.G.2: Identify three-dimensional shapes (e.g., cubes, prisms, spheres, cones, and pyramids) based on their properties, such as edges and faces.

Pyramids and Cones

Surface and Lateral Areas of Pyramids and Cones

6.G.3: Identify relationships among points, lines, and planes, e.g., intersecting, parallel, perpendicular.

Concurrent Lines, Medians, and Altitudes

Constructing Congruent Segments and Angles

Constructing Parallel and Perpendicular Lines

Parallel, Intersecting, and Skew Lines

Solving Equations by Graphing Each Side

6.G.4: Graph points and identify coordinates of points on the Cartesian coordinate plane (all four quadrants).

City Tour (Coordinates)

Points in the Coordinate Plane

6.G.6: Predict, describe, and perform transformations on two-dimensional shapes, e.g., translations, rotations, and reflections.

Absolute Value with Linear Functions

Circles

Holiday Snowflake Designer

Rock Art (Transformations)

Rotations, Reflections, and Translations

6.G.7: Identify types of symmetry, including line and rotational.

Holiday Snowflake Designer

Quilting Bee (Symmetry)

6.G.8: Determine if two shapes are congruent by measuring sides or a combination of sides and angles, as necessary; or by motions or series of motions, e.g., translations, rotations, and reflections.

Rock Art (Transformations)

Rotations, Reflections, and Translations

6.G.9: Match three-dimensional objects and their two-dimensional representations, e.g., nets, projections, and perspective drawings.

3D and Orthographic Views

Surface and Lateral Areas of Prisms and Cylinders

Surface and Lateral Areas of Pyramids and Cones

6.M.1: Apply the concepts of perimeter and area to the solution of problems. Apply formulas where appropriate.

Area of Parallelograms

Area of Triangles

Chocomatic (Multiplication, Arrays, and Area)

Fido's Flower Bed (Perimeter and Area)

Perimeter and Area of Rectangles

6.M.2: Identify, measure, describe, classify, and construct various angles, triangles, and quadrilaterals.

Classifying Quadrilaterals

Classifying Triangles

Concurrent Lines, Medians, and Altitudes

Polygon Angle Sum

Similarity in Right Triangles

Triangle Angle Sum

6.M.3: Solve problems involving proportional relationships and units of measurement, e.g., same system unit conversions, scale models, maps, and speed.

Beam to Moon (Ratios and Proportions)

Percents and Proportions

Points in the Coordinate Plane

Proportions and Common Multipliers

6.M.4: Find areas of triangles and parallelograms. Recognize that shapes with the same number of sides but different appearances can have the same area. Develop strategies to find the area of more complex shapes.

Area of Parallelograms

Area of Triangles

Balancing Blocks (Volume)

Chocomatic (Multiplication, Arrays, and Area)

Classifying Quadrilaterals

Classifying Triangles

Fido's Flower Bed (Perimeter and Area)

Perimeter and Area of Rectangles

6.M.5: Identify, measure, and describe circles and the relationships of the radius, diameter, circumference, and area (e.g., d = 2r, p = C/d), and use the concepts to solve problems.

Circumference and Area of Circles

6.M.6: Find volumes and surface areas of rectangular prisms.

Balancing Blocks (Volume)

Prisms and Cylinders

Surface and Lateral Areas of Prisms and Cylinders

6.M.7: Find the sum of the angles in simple polygons (up to eight sides) with and without measuring the angles.

Polygon Angle Sum

Triangle Angle Sum

6.D.1: Describe and compare data sets using the concepts of median, mean, mode, maximum and minimum, and range.

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

6.D.2: Construct and interpret stem-and-leaf plots, line plots, and circle graphs.

Graphing Skills

Mean, Median, and Mode

Stem-and-Leaf Plots

6.D.4: Predict the probability of outcomes of simple experiments (e.g., tossing a coin, rolling a die) and test the predictions. Use appropriate ratios between 0 and 1 to represent the probability of the outcome and associate the probability with the likelihood of the event.

Independent and Dependent Events

Spin the Big Wheel! (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.