Standards for Teaching and Learning

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.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.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.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.

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

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.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.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.

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

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: 4/4/2018

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