6.NSO-N: Number Sense

6.NSO-N.1: Explain the properties of and compute with rational numbers, expressed in a variety of forms.

 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
 Fractions Greater than One (Fraction Tiles)
 Improper Fractions and Mixed Numbers
 Multiplying Decimals (Area Model)
 Multiplying Fractions
 Multiplying Mixed Numbers
 Multiplying with Decimals
 Subtracting Whole Numbers and Decimals (Base-10 Blocks)
 Sums and Differences with Decimals

6.NSO-N.2: Compare and order positive and negative fractions, decimals, and mixed numbers and place them on a number line.

 Rational Numbers, Opposites, and Absolute Values

6.NSO-N.3: Know that numbers and their opposites add to 0 and are on opposite sides and at equal distance from 0 on a number line; know that 0 is an integer that is neither negative nor positive.

 Adding and Subtracting Integers
 Adding on the Number Line
 Integers, Opposites, and Absolute Values
 Rational Numbers, Opposites, and Absolute Values

6.NSO-N.5: Identify and determine common equivalent fractions, mixed numbers, decimals, and percentages.

 Dividing Mixed Numbers
 Fraction Artist 1 (Area Models of Fractions)
 Fraction Artist 2 (Area Models of Fractions)
 Fraction Garden (Comparing Fractions)
 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)
 Part-to-part and Part-to-whole Ratios
 Percents, Fractions, and Decimals
 Toy Factory (Set Models of Fractions)

6.NSO-N.6: 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.

 Factor Trees (Factoring Numbers)
 Finding Factors with Area Models

6.NSO-C: Computation and Operations

6.NSO-C.8: 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 percentages.

 Adding Whole Numbers and Decimals (Base-10 Blocks)
 Cargo Captain (Multi-digit Subtraction)
 Subtracting Whole Numbers and Decimals (Base-10 Blocks)

6.NSO-C.9: Know integer subtraction is the inverse of integer addition; use the number line to model addition and subtraction of integers and add and subtract integers.

 Adding and Subtracting Integers
 Adding on the Number Line

6.NSO-C.10: Accurately and efficiently add, subtract, multiply, and divide (with multidigit divisors) whole numbers and positive decimals.

 Adding Whole Numbers and Decimals (Base-10 Blocks)
 Cargo Captain (Multi-digit Subtraction)
 Multiplying with Decimals
 Square Roots
 Subtracting Whole Numbers and Decimals (Base-10 Blocks)
 Sums and Differences with Decimals

6.NSO-C.13: Calculate given percentages of quantities, and solve problems involving discounts at sales, interest earned, and tips.

 Compound Interest
 Percent of Change

6.NSO-C.14: Solve simple proportion problems using such methods as unit rate, scaling, finding equivalent fractions, and solving the proportion equation a/b = c/d.

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

6.NSO-C.15: Apply laws of exponents to multiply whole number powers with like bases.

 Factor Trees (Factoring Numbers)
 Multiplying Decimals (Area Model)

6.NSO-C.17: Apply the Order of Operations for expressions involving addition, subtraction, multiplication, and division with grouping symbols.

 Order of Operations
 Simplifying Algebraic Expressions I

6.NSO-E: Estimation

6.NSO-E.18: Estimate results of computations with whole numbers and with positive fractions, mixed numbers, decimals, and percentages. Determine reasonableness of estimates.

 Adding Whole Numbers and Decimals (Base-10 Blocks)
 Estimating Sums and Differences
 Multiplying Decimals (Area Model)
 Subtracting Whole Numbers and Decimals (Base-10 Blocks)

6.PRA: Patterns, Relations, and Algebra

6.PRA.1: Use the properties of equality to solve problems using letter name variables. (e.g., 1/4 + x = 7/12).

 Modeling and Solving Two-Step Equations
 Solving Algebraic Equations II
 Solving Equations on the Number Line

6.PRA.2: Write and solve one-step linear equations and check the answers.

 Solving Algebraic Equations II
 Solving Equations on the Number Line

6.PRA.5: Understand that adding or subtracting the same number to both sides of an equation creates a new equation that has the same truth values.

 Modeling One-Step Equations
 Simplifying Algebraic Expressions I
 Solving Algebraic Equations II
 Solving Two-Step Equations

6.PRA.6: Understand that multiplying or dividing both sides of an equation by the same nonzero number creates a new equation that has the same truth values.

 Factor Trees (Factoring Numbers)
 Solving Algebraic Equations II
 Solving Two-Step Equations

6.PRA.7: Distinguish between an algebraic expression and an equation.

 Compound Interest
 Solving Equations on the Number Line
 Using Algebraic Equations

6.PRA.8: Recognize when information given in a table, graph, or formula suggests a proportional or linear relationship.

 Compound Interest

6.PRA.9: Produce and interpret graphs that represent the relationship between two variables (x and y) in everyday situations.

 Graphing Skills

6.G: Geometry

6.G.1: 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

6.G.2: Identify angles as vertical, adjacent, complementary, or supplementary; provide descriptions of these terms; and use the properties of complementary and supplementary angles and the sum of the angles of a triangle to solve problems involving an unknown angle.

 Investigating Angle Theorems
 Isosceles and Equilateral Triangles
 Polygon Angle Sum
 Triangle Angle Sum

6.G.3: Determine if two shapes are congruent by motions or series of motions (e.g., translations, rotations, and reflections); predict the results of transformations on unmarked planes and draw the transformed figure (e.g., predict how tessellations transform under translation, reflection, and rotation).

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

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

 City Tour (Coordinates)
 Points in the Coordinate Plane
 Points, Lines, and Equations
 Slope

6.M: Measurement

6.M.1: Differentiate between and use appropriate units of measures for two- and three-dimensional objects (i.e., when finding perimeter, area, and volume).

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

6.M.2: Find areas of triangles and parallelograms. Recognize that shapes with the same number of sides but different appearances can have the same area.

 Area of Parallelograms
 Area of Triangles
 Perimeter and Area of Rectangles

6.M.3: Develop strategies to find the area and perimeter of complex shapes (e.g., subdividing them into basic shapes such as quadrilaterals, triangles, circles).

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

6.M.4: 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)
 Estimating Population Size
 Geometric Probability
 Household Energy Usage
 Part-to-part and Part-to-whole Ratios
 Proportions and Common Multipliers
 Unit Conversions

6.M.6: Identify, measure, describe, classify, and construct various angles, triangles, and quadrilaterals; measure the interior angles of various polygons.

 Classifying Triangles
 Concurrent Lines, Medians, and Altitudes
 Polygon Angle Sum
 Segment and Angle Bisectors
 Similarity in Right Triangles
 Triangle Angle Sum

6.M.7: Understand the concept of the constant pi; know the formulas for the circumference and area of a circle. Use the concepts to solve problems.

 Circumference and Area of Circles

6.M.8: Know and use the formulas for the volumes and surface areas of cubes and rectangular prisms, given the lengths of their sides.

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

6.M.9: 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.DASP: Data Analysis, Statistics, and Probability

6.DASP.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.DASP.3: Construct, label, and interpret stem-and-leaf plots.

 Stem-and-Leaf Plots

6.DASP.4: Use tree diagrams and other models (e.g., lists and tables) to represent possible or actual outcomes of trials.

 Permutations and Combinations

6.DASP.7: Use appropriate ratios between 0 and 1 to represent the probability of the outcome and associate the probability with the likelihood of the event; know that 0 probability means an event will not occur and that a probability of 1 means an event will occur.

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

Correlation last revised: 5/9/2018

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