Content Standards

6.RP.1: Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities.

Beam to Moon (Ratios and Proportions)

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

Proportions and Common Multipliers

Road Trip (Problem Solving)

6.RP.2: Understand the concept of a unit rate a/b associated with a ratio a:b with b not equal to 0, and use rate language in the context of a ratio relationship.

Beam to Moon (Ratios and Proportions)

Household Energy Usage

Road Trip (Problem Solving)

6.RP.3: Use tables of equivalent ratios, tape diagrams, double number line diagrams, and equations to reason about ratios and rates in real world and mathematical problems.

6.RP.3.a: Make tables of equivalent ratios relating quantities with whole-number measurements, find missing values in the tables, and plot the pairs of values on the coordinate plane. Use tables to compare ratios.

City Tour (Coordinates)

Elevator Operator (Line Graphs)

Function Machines 2 (Functions, Tables, and Graphs)

Points in the Coordinate Plane

Points, Lines, and Equations

Slope

6.RP.3.b: Solve unit rate problems including those involving unit pricing and constant speed.

Household Energy Usage

Road Trip (Problem Solving)

6.RP.3.c.i: Find a percent of a quantity as a rate per 100.

Percent of Change

Percents and Proportions

6.RP.3.c.ii: Solve problems involving finding the whole, given a part and the percent.

Percent of Change

Percents, Fractions, and Decimals

Real-Time Histogram

Time Estimation

6.RP.3.d.i: Use ratio reasoning to convert measurement units.

6.NS.1.i: Use visual fraction models and equations to interpret and compute quotients of fractions.

Dividing Fractions

Dividing Mixed Numbers

6.NS.1.ii: Use models and equations to solve word problems involving division of fractions by fractions.

Dividing Fractions

Dividing Mixed Numbers

6.NS.2: Fluently divide multi-digit numbers using strategies flexibly, including the standard algorithm.

No Alien Left Behind (Division with Remainders)

6.NS.3: Fluently add, subtract, multiply, and divide multi-digit decimals using strategies flexibly, including the standard algorithm for each operation.

Adding Whole Numbers and Decimals (Base-10 Blocks)

Multiplying Decimals (Area Model)

Multiplying with Decimals

Square Roots

Subtracting Whole Numbers and Decimals (Base-10 Blocks)

Sums and Differences with Decimals

6.NS.4.i: Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12.

6.NS.4.ii: Use the distributive property to express a sum of two whole numbers 1 to 100 with a common factor as a multiple of a sum of two whole numbers with no common factor.

6.NS.5.i: Understand that rational numbers are used together to describe quantities having opposite directions or values (may include temperature above/below zero, elevation above/below sea level, debits/credits, positive/negative electric charge, etc.).

Adding and Subtracting Integers

Adding on the Number Line

Addition of Polynomials

Estimating Population Size

Integers, Opposites, and Absolute Values

Modeling Decimals (Area and Grid Models)

Modeling Whole Numbers and Decimals (Base-10 Blocks)

6.NS.5.ii: Use rational numbers to represent quantities in real world contexts, explaining the meaning of 0 in each situation.

Adding and Subtracting Integers

Adding on the Number Line

Addition of Polynomials

Integers, Opposites, and Absolute Values

6.NS.6.i: Understand a rational number as a point on the number line.

Fraction Garden (Comparing Fractions)

Modeling Decimals (Area and Grid Models)

Modeling Fractions (Area Models)

Rational Numbers, Opposites, and Absolute Values

6.NS.6.ii: Extend number line diagrams and coordinate axes from previous grades to represent points on the line and in the plane with negative number coordinates.

6.NS.6.ii.a.i: Recognize opposite signs of numbers as indicating locations on opposite sides of 0 on the number line.

Adding and Subtracting Integers

Adding on the Number Line

Integers, Opposites, and Absolute Values

Rational Numbers, Opposites, and Absolute Values

Solving Algebraic Equations I

6.NS.6.ii.a.ii: Recognize that the opposite of the opposite of a number is the number itself, for example: – (– 3) = 3, and that 0 is its own opposite.

Adding and Subtracting Integers

Adding on the Number Line

Integers, Opposites, and Absolute Values

Rational Numbers, Opposites, and Absolute Values

Solving Algebraic Equations I

6.NS.6.ii.b.i: Understand signs of numbers in ordered pairs as indicating locations in quadrants of the coordinate plane.

Points in the Coordinate Plane

6.NS.6.ii.b.ii: Recognize that when two ordered pairs differ only by signs, the locations of the points are related by reflections across one or both axes.

Points in the Coordinate Plane

6.NS.6.ii.c.i: Find and position integers and other rational numbers on a horizontal or vertical number line diagram.

Adding and Subtracting Integers

Adding on the Number Line

Fraction Garden (Comparing Fractions)

Integers, Opposites, and Absolute Values

Modeling Decimals (Area and Grid Models)

Modeling Fractions (Area Models)

Rational Numbers, Opposites, and Absolute Values

6.NS.6.ii.c.ii: Find and position pairs of integers and other rational numbers on a coordinate plane.

City Tour (Coordinates)

Elevator Operator (Line Graphs)

Points in the Coordinate Plane

Points, Lines, and Equations

6.NS.7: Understand ordering and absolute value of rational numbers.

6.NS.7.a: Interpret statements of inequality as statements about the relative position of two numbers on a number line diagram.

Comparing and Ordering Decimals

Integers, Opposites, and Absolute Values

Rational Numbers, Opposites, and Absolute Values

Treasure Hunter (Decimals on the Number Line)

6.NS.7.b: Write, interpret, and explain statements of order for rational numbers in real world contexts.

Estimating Population Size

Integers, Opposites, and Absolute Values

Modeling Decimals (Area and Grid Models)

6.NS.7.c.i: Understand the absolute value of a rational number as its distance from 0 on the number line.

Absolute Value with Linear Functions

Integers, Opposites, and Absolute Values

Rational Numbers, Opposites, and Absolute Values

6.NS.7.c.ii: Interpret absolute value as magnitude for a positive or negative quantity in a real world situation.

Absolute Value with Linear Functions

Integers, Opposites, and Absolute Values

6.NS.7.d: Distinguish comparisons of absolute value from statements about order.

Integers, Opposites, and Absolute Values

Points in the Coordinate Plane

Rational Numbers, Opposites, and Absolute Values

6.NS.8: Solve real world and mathematical problems by graphing points in all four quadrants of the coordinate plane. Include use of coordinates and absolute value to find distances between points with the same first coordinate or the same second coordinate.

City Tour (Coordinates)

Elevator Operator (Line Graphs)

Points in the Coordinate Plane

Points, Lines, and Equations

Slope

6.EE.1: Write and evaluate numerical expressions involving whole-number exponents.

6.EE.2: Write, read, and evaluate expressions in which letters stand for numbers.

6.EE.2.a: Write expressions that record operations with numbers and with letters standing for numbers.

Solving Equations on the Number Line

Using Algebraic Equations

Using Algebraic Expressions

6.EE.2.b: Identify parts of an expression using mathematical terms (sum, term, product, factor, quotient, coefficient, difference, quantity, etc.); view one or more parts of an expression as a single entity.

Compound Interest

Equivalent Algebraic Expressions II

Simplifying Algebraic Expressions I

Simplifying Algebraic Expressions II

Using Algebraic Equations

Using Algebraic Expressions

6.EE.2.c.i: Evaluate expressions at specific values of their variables. Include expressions that arise from formulas used in real world problems.

Equivalent Algebraic Expressions I

Equivalent Algebraic Expressions II

Order of Operations

Solving Equations on the Number Line

6.EE.2.c.ii: Perform arithmetic operations, including those involving whole-number exponents, in the conventional order when there are no parentheses to specify a particular order (Order of Operations).

Equivalent Algebraic Expressions I

Equivalent Algebraic Expressions II

Order of Operations

Solving Equations on the Number Line

6.EE.3: Apply the properties of operations to generate equivalent expressions.

Equivalent Algebraic Expressions I

Equivalent Algebraic Expressions II

Simplifying Algebraic Expressions I

Simplifying Algebraic Expressions II

Solving Algebraic Equations II

6.EE.4: Identify when two expressions are equivalent.

Equivalent Algebraic Expressions I

Equivalent Algebraic Expressions II

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

Simplifying Algebraic Expressions I

Simplifying Algebraic Expressions II

3.1.4.1: Two expressions are equivalent when the two expressions represent the same number regardless of which value is substituted into them.

Equivalent Algebraic Expressions I

Equivalent Algebraic Expressions II

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

Simplifying Algebraic Expressions I

Simplifying Algebraic Expressions II

6.EE.5.i: Understand solving an equation or inequality as a process of answering a question: Which values from a specified set, if any, make the equation or inequality true?

Compound Inequalities

Exploring Linear Inequalities in One Variable

Linear Inequalities in Two Variables

Solving Algebraic Equations II

Solving Equations on the Number Line

Solving Linear Inequalities in One Variable

6.EE.5.ii: Use substitution to determine whether a given number in a specified set makes an equation or inequality true.

Compound Inequalities

Exploring Linear Inequalities in One Variable

Linear Inequalities in Two Variables

Solving Algebraic Equations II

Solving Equations on the Number Line

Solving Linear Inequalities in One Variable

6.EE.6.i: Use variables to represent numbers and write expressions when solving a real world or mathematical problem.

Equivalent Algebraic Expressions I

Solving Algebraic Equations II

Solving Equations on the Number Line

Using Algebraic Equations

Using Algebraic Expressions

6.EE.6.ii: Understand that a variable can represent an unknown number, or, depending on the purpose at hand, any number in a specified set.

Equivalent Algebraic Expressions I

Solving Algebraic Equations II

Solving Equations on the Number Line

Using Algebraic Equations

Using Algebraic Expressions

6.EE.7: Solve real world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all nonnegative rational numbers.

Absolute Value Equations and Inequalities

Modeling One-Step Equations

Solving Algebraic Equations I

Solving Algebraic Equations II

Solving Equations on the Number Line

6.EE.8.i: Write a statement of inequality of the form x > c or the form x < c to represent a constraint or condition in a real world or mathematical problem.

Absolute Value Equations and Inequalities

Comparing and Ordering Decimals

Compound Inequalities

Exploring Linear Inequalities in One Variable

Linear Inequalities in Two Variables

Rational Numbers, Opposites, and Absolute Values

Solving Linear Inequalities in One Variable

6.EE.8.ii: Recognize that inequalities of the form x > c or the form x < c have infinitely many solutions; represent solutions of such inequalities on number line diagrams.

Absolute Value Equations and Inequalities

Comparing and Ordering Decimals

Compound Inequalities

Exploring Linear Inequalities in One Variable

Linear Inequalities in Two Variables

Rational Numbers, Opposites, and Absolute Values

Solving Linear Inequalities in One Variable

6.G.1.i: Based on prior knowledge of area of rectangles, decompose or compose triangles to find the area of a triangle.

Area of Parallelograms

Area of Triangles

Chocomatic (Multiplication, Arrays, and Area)

Fido's Flower Bed (Perimeter and Area)

Perimeter and Area of Rectangles

6.G.1.ii: Using knowledge of area of triangles and rectangles, compose and/or decompose triangles, special quadrilaterals, and polygons to find their areas.

Area of Parallelograms

Area of Triangles

Chocomatic (Multiplication, Arrays, and Area)

Fido's Flower Bed (Perimeter and Area)

Perimeter and Area of Rectangles

6.G.1.iii: Apply these techniques in the context of solving real world mathematical problems.

Area of Parallelograms

Area of Triangles

Chocomatic (Multiplication, Arrays, and Area)

Fido's Flower Bed (Perimeter and Area)

Perimeter and Area of Rectangles

6.G.2.i: Using cubes of an appropriate size, pack a right rectangular prism having fractional edge lengths to find its volume. Then show that the volume is the same as would be found by multiplying the edge lengths of the prism.

6.G.2.ii: Apply the formulas ?? = ????? and ??= ??? to find volumes of right rectangular prisms with fractional edge lengths in the context of solving real world and mathematical problems.

6.G.3.i: Draw polygons in the coordinate plane given coordinates for the vertices.

Points in the Coordinate Plane

6.G.3.ii: Use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate.

Points in the Coordinate Plane

6.G.3.iii: Apply these techniques in the context of solving real world and mathematical problems.

Points in the Coordinate Plane

6.G.4.i: Represent three-dimensional figures using nets made up of rectangles and triangles (right prisms and pyramids whose bases are triangles and rectangles).

Surface and Lateral Areas of Prisms and Cylinders

Surface and Lateral Areas of Pyramids and Cones

6.G.4.ii: Use the nets to find the surface area of these figures.

Surface and Lateral Areas of Prisms and Cylinders

Surface and Lateral Areas of Pyramids and Cones

6.G.4.iii: Apply these techniques in the context of solving real world and mathematical problems.

Surface and Lateral Areas of Prisms and Cylinders

Surface and Lateral Areas of Pyramids and Cones

6.SP.1: Recognize a statistical question as one that anticipates variability in the data related to the question and accounts for it in the answers.

Polling: City

Polling: Neighborhood

Reaction Time 2 (Graphs and Statistics)

6.SP.2: Understand that a set of data collected to answer a statistical question has a distribution which can be described by its center, spread, and overall shape.

Box-and-Whisker Plots

Describing Data Using Statistics

Mean, Median, and Mode

Movie Reviewer (Mean and Median)

Polling: City

Populations and Samples

Reaction Time 1 (Graphs and Statistics)

Reaction Time 2 (Graphs and Statistics)

Real-Time Histogram

Stem-and-Leaf Plots

6.SP.3: Recognize that a measure of center for a numerical data set summarizes all of its values using a single number, while a measure of spread (variation) describes how its values vary with a single number.

Box-and-Whisker Plots

Describing Data Using Statistics

Mean, Median, and Mode

Movie Reviewer (Mean and Median)

Reaction Time 1 (Graphs and Statistics)

Reaction Time 2 (Graphs and Statistics)

Real-Time Histogram

Stem-and-Leaf Plots

6.SP.4: Display numerical data in plots on a number line, including dot plots, histograms, and box plots.

Box-and-Whisker Plots

Histograms

Mascot Election (Pictographs and Bar Graphs)

Mean, Median, and Mode

Reaction Time 1 (Graphs and Statistics)

Reaction Time 2 (Graphs and Statistics)

Real-Time Histogram

Stem-and-Leaf Plots

6.SP.5: Summarize numerical data sets in relation to their context by:

6.SP.5.b: Describing the nature of the attribute being investigated, including how it was measured and its units of measurement.

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)

Real-Time Histogram

6.SP.5.c: Calculating quantitative measures of center (median and/or mean) and variability (interquartile range and/or mean absolute deviation), as well as describing any overall pattern and any striking deviations from the overall pattern with reference to the context in which the data was gathered.

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)

Real-Time Histogram

Sight vs. Sound Reactions

Stem-and-Leaf Plots

6.SP.5.d: Relating the choice of measures of center and variability to the shape of the data distribution and the context in which the data were gathered.

Box-and-Whisker Plots

Describing Data Using Statistics

Mean, Median, and Mode

Movie Reviewer (Mean and Median)

Reaction Time 1 (Graphs and Statistics)

Reaction Time 2 (Graphs and Statistics)

Correlation last revised: 9/22/2020

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