Curriculum Standards

6.1.1: Generate and solve complex abstract problems that involve modeling physical, social, and/or mathematical phenomena.

6.1.2: Evaluate conjectures and pose follow-up questions to prove or disprove conjectures.

6.1.4: Understand equivalent symbolic expressions as distinct symbolic forms that represent the same relationship.

6.1.6: Use correct and clearly written or spoken words, variables, and notations to communicate about significant mathematical tasks.

6.1.7: Generalize connections among a variety of representational forms and real-world situations.

6.2.1: Understand whole-number percentages through 100.

Percent of Change

Percents and Proportions

Percents, Fractions, and Decimals

6.2.2: Understand integers.

Adding and Subtracting Integers

Integers, Opposites, and Absolute Values

6.2.3: Compare rational numbers and whole-number percentages through 100 by using the symbols "less than or equal to", "greater than or equal to", <, >, and =.

Comparing and Ordering Decimals

Integers, Opposites, and Absolute Values

Rational Numbers, Opposites, and Absolute Values

6.2.4: Apply an algorithm to add and subtract fractions.

Adding Fractions (Fraction Tiles)

Estimating Sums and Differences

Fractions Greater than One (Fraction Tiles)

Fractions with Unlike Denominators

Improper Fractions and Mixed Numbers

6.2.5: Generate strategies to multiply and divide fractions and decimals.

Dividing Fractions

Dividing Mixed Numbers

Multiplying Decimals (Area Model)

Multiplying Fractions

Multiplying Mixed Numbers

Multiplying with Decimals

6.2.6: Understand the relationship between ratio/rate and multiplication/division.

Beam to Moon (Ratios and Proportions)

Factor Trees (Factoring Numbers)

No Alien Left Behind (Division with Remainders)

Proportions and Common Multipliers

Road Trip (Problem Solving)

6.2.8: Represent the prime factorization of numbers by using exponents.

Finding Factors with Area Models

6.3.1: Analyze numeric and algebraic patterns and pattern relationships.

Finding Patterns

Function Machines 1 (Functions and Tables)

6.3.2: Apply order of operations to simplify whole-number expressions.

6.3.3: Represent algebraic relationships with variables in expressions, simple equations, and simple inequalities.

Solving Equations on the Number Line

Solving Linear Inequalities in One Variable

Using Algebraic Equations

Using Algebraic Expressions

6.3.4: Use the commutative, associative, and distributive properties to show that two expressions are equivalent.

Modeling the Factorization of *x*^{2}+*bx*+*c*

6.3.5: Use inverse operations to solve one-step equations that have whole-number solutions and variables with whole-number coefficients.

Solving Equations on the Number Line

6.4.1: Represent with ordered pairs of integers the location of points in a coordinate grid.

City Tour (Coordinates)

Elevator Operator (Line Graphs)

Points in the Coordinate Plane

Points, Lines, and Equations

6.4.3: Generalize the relationship between line symmetry and rotational symmetry for two-dimensional shapes.

Holiday Snowflake Designer

Quilting Bee (Symmetry)

6.4.4: Construct two-dimensional shapes with line or rotational symmetry.

Holiday Snowflake Designer

Quilting Bee (Symmetry)

6.4.5: Identify the transformation(s) used to move a polygon from one location to another in the coordinate plane.

Rotations, Reflections, and Translations

6.4.6: Explain how transformations affect the location of the original polygon in the coordinate plane.

Rotations, Reflections, and Translations

6.4.8: Classify shapes as similar.

6.4.9: Classify pairs of angles as either complementary or supplementary.

6.5.1: Explain the relationships among the circumference, diameter, and radius of a circle.

Circumference and Area of Circles

6.5.2: Apply strategies and formulas with an approximation of pi (3.14, or 22/7) to find the circumference and area of a circle.

Circumference and Area of Circles

6.5.3: Generate strategies to determine the surface area of a rectangular prism and a cylinder.

Surface and Lateral Areas of Prisms and Cylinders

6.5.4: Apply strategies and procedures to estimate the perimeters and areas of irregular shapes.

Balancing Blocks (Volume)

Fido's Flower Bed (Perimeter and Area)

6.5.5: Apply strategies and procedures of combining and subdividing to find the perimeters and areas of irregular shapes.

Area of Triangles

Fido's Flower Bed (Perimeter and Area)

6.5.6: Use proportions to determine unit rates.

Beam to Moon (Ratios and Proportions)

Household Energy Usage

Road Trip (Problem Solving)

6.6.1: Predict the characteristics of one population based on the analysis of sample data.

Polling: City

Polling: Neighborhood

6.6.2: Organize data in frequency tables, histograms, or stem-and-leaf plots as appropriate.

Describing Data Using Statistics

Histograms

Mascot Election (Pictographs and Bar Graphs)

Stem-and-Leaf Plots

6.6.3: Analyze which measure of central tendency (mean, median, or mode) is the most appropriate for a given purpose.

Box-and-Whisker Plots

Describing Data Using Statistics

Movie Reviewer (Mean and Median)

Populations and Samples

Reaction Time 1 (Graphs and Statistics)

Reaction Time 2 (Graphs and Statistics)

6.6.4: Use theoretical probability to determine the sample space and probability for one- and two-stage events such as tree diagrams, models, lists, charts, and pictures.

Geometric Probability

Independent and Dependent Events

Permutations and Combinations

Probability Simulations

Theoretical and Experimental Probability

Content correlation last revised: 11/13/2008

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