RP: Ratios and Proportional Relationships

RP.A: Understand ratio concepts and use ratio reasoning to solve problems.

RP.A.B.4: Basic students solve unit rate problems given the unit rate;

Household Energy Usage
Road Trip (Problem Solving)

RP.A.P.4: Proficient students solve unit rate problems that require determining a unit rate;

Household Energy Usage
Road Trip (Problem Solving)

RP.A.A.3: Advanced students solve unit rate problems that require determining two unit rates;

Household Energy Usage
Road Trip (Problem Solving)

RP.A.B.5: Basic students solve for a percent of a quantity given the whole of 10 or 100;

Percent of Change
Percents and Proportions
Polling: Neighborhood

RP.A.A.4: Advanced students solve, in a real-world context, for a percent of a quantity as a rate per 100 and to solve problems that involve finding the whole, given the part and the percent;

Percent of Change
Percents and Proportions
Percents, Fractions, and Decimals
Real-Time Histogram

RP.A.B.6: Basic students use ratio reasoning to convert measurement units within the same system.

Unit Conversions

RP.A.P.6: Proficient students use ratio reasoning to convert measurement units and to transform units appropriately when multiplying or dividing quantities.

Proportions and Common Multipliers
Unit Conversions

RP.A.A.5: Advanced students use ratio reasoning to convert measurement units and transform units appropriately when multiplying and dividing in a real-world context.

Proportions and Common Multipliers

NS: The Number System

NS.B: Apply and extend previous understandings of multiplication and division to divide fractions by fractions.

NS.B.P.1: Proficient students compute quotients of any two fractions including a mixed number;

Dividing Mixed Numbers

NS.C: Compute fluently with multi-digit numbers and find common factors and multiples.

NS.C.B.1: Basic students divide three-digit or four-digit dividends by two-digit divisors using the standard algorithm;

Dividing Fractions
Dividing Mixed Numbers
Dividing Polynomials Using Synthetic Division
Solving Algebraic Equations II

NS.C.B.2: Basic students add, subtract, multiply, or divide decimals to tenths using the standard algorithms;

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

NS.C.P.2: Proficient students add, subtract, multiply, or divide decimals to hundredths using the standard algorithms;

Adding Whole Numbers and Decimals (Base-10 Blocks)
Multiplying with Decimals
Subtracting Whole Numbers and Decimals (Base-10 Blocks)
Sums and Differences with Decimals

NS.C.A.1: Advanced students add, subtract, multiply, or divide decimals to thousandths using the standard algorithms for each operation;

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

NS.D: Apply and extend previous understandings of numbers to the system of rational numbers.

NS.D.P.1: Proficient students represent quantities in real-world contexts using rational numbers; do simple applications involving positive and negative numbers;

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

NS.D.B.1: Basic students represent one integer on a horizontal number line;

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

NS.D.P.2: Proficient students represent two or more rational numbers on a horizontal number line;

Fraction Garden (Comparing Fractions)
Modeling Decimals (Area and Grid Models)
Modeling Fractions (Area Models)
Rational Numbers, Opposites, and Absolute Values

NS.D.B.2: Basic students graph ordered pairs of integers in the first quadrant of a coordinate plane;

City Tour (Coordinates)
Elevator Operator (Line Graphs)
Points in the Coordinate Plane
Points, Lines, and Equations

NS.D.P.3: Proficient students graph ordered pairs of integers in all four quadrants of a coordinate plane;

City Tour (Coordinates)
Elevator Operator (Line Graphs)
Points in the Coordinate Plane
Points, Lines, and Equations

NS.D.A.1: Advanced students identify the quadrant a point lies in given descriptions of its coordinates with real-world context;

Points in the Coordinate Plane

NS.D.B.3: Basic students compare a positive and a negative number;

Integers, Opposites, and Absolute Values
Rational Numbers, Opposites, and Absolute Values

NS.D.P.4: Proficient students compare two or more rational numbers;

Comparing and Ordering Decimals
Integers, Opposites, and Absolute Values
Rational Numbers, Opposites, and Absolute Values

NS.D.A.2: Advanced students explain statements of order for rational numbers in real-world contexts;

Estimating Population Size
Integers, Opposites, and Absolute Values

NS.D.P.5: Proficient students determine the absolute value of a rational number and explain the absolute value of any rational number as its distance from 0 on the number line;

Absolute Value Equations and Inequalities
Integers, Opposites, and Absolute Values
Rational Numbers, Opposites, and Absolute Values

NS.D.P.6: Proficient students solve problems in both mathematical and real-world contexts by graphing points in all four quadrants of the coordinate plane;

Elevator Operator (Line Graphs)
Function Machines 2 (Functions, Tables, and Graphs)
Function Machines 3 (Functions and Problem Solving)
Points in the Coordinate Plane
Points, Lines, and Equations
Slope

NS.D.B.4: Basic students use coordinates to find distances between points with the same first coordinate or the same second coordinate in the first quadrant.

Points in the Coordinate Plane

NS.D.P.7: Proficient students use coordinates to find distances between points with the same first coordinate or the same second coordinate in all four quadrants.

Points in the Coordinate Plane

NS.D.A.4: Advanced students use coordinates and absolute value to find distances between points with the same first coordinate or the same second coordinate in all four quadrants.

Points in the Coordinate Plane

EE: Expressions and Equations

EE.E: Apply and extend previous understandings of arithmetic to algebraic expressions.

EE.E.B.2: Basic students write and read one-step expressions with rational numbers with variables;

Improper Fractions and Mixed Numbers
Multiplying with Decimals
Solving Equations on the Number Line

EE.E.P.2: Proficient students write and read two-step expressions with rational numbers with variables;

Improper Fractions and Mixed Numbers
Multiplying with Decimals
Solving Equations on the Number Line

EE.E.A.2: Advanced students write and read three-step or four-step expressions with rational numbers with variables;

Improper Fractions and Mixed Numbers
Multiplying with Decimals
Solving Equations on the Number Line

EE.E.B.3: Basic students evaluate one-step or two-step expressions with whole numbers given the value of the variable, using the order of operations;

Order of Operations
Solving Equations on the Number Line

EE.E.P.3: Proficient students evaluate expressions with up to three steps given the values of up to two variables, using the order of operations;

Order of Operations
Solving Equations on the Number Line

EE.E.A.3: Advanced students evaluate expressions with more than three steps given the values of up to two variables, using the conventional order of operations;

Order of Operations
Solving Equations on the Number Line

EE.E.P.4: Proficient students identify parts of an expression using mathematical language;

Improper Fractions and Mixed Numbers
Multiplying with Decimals
Solving Equations on the Number Line
Using Algebraic Equations
Using Algebraic Expressions

EE.E.B.4: Basic students apply the properties of operations to identify equivalent expressions based on the commutative property.

Equivalent Algebraic Expressions I
Equivalent Algebraic Expressions II
Simplifying Algebraic Expressions I
Simplifying Algebraic Expressions II
Solving Algebraic Equations II

EE.E.P.5: Proficient students apply the properties of operations to identify and generate equivalent expressions.

Equivalent Algebraic Expressions I
Equivalent Algebraic Expressions II
Simplifying Algebraic Expressions I
Simplifying Algebraic Expressions II
Solving Algebraic Equations II

EE.E.A.4: Advanced students explain why two expressions are equivalent.

Simplifying Algebraic Expressions I
Simplifying Algebraic Expressions II

EE.F: Reason about and solve one-variable equations and inequalities.

EE.F.B.3: Basic students solve both mathematical and real-world contexts by solving equations of the form x + p = q or x - p = q for cases in which p, q and x are all whole numbers;

Solving Equations on the Number Line

EE.F.P.4: Proficient students solve problems in both mathematical and real-world contexts by writing and solving equations of the form x + p = q, x - p = q, px = q, and x/p = q for cases in which p, q, and x are all whole numbers or positive rational numbers;

Solving Equations on the Number Line

EE.F.B.4: Basic students write an inequality of the form x > c or x < c to represent a mathematical context.

Absolute Value Equations and Inequalities
Solving Linear Inequalities in One Variable

EE.F.P.5: Proficient students write an inequality of the form x > c or x < c to represent real-world contexts and recognize that inequalities of the form x > c or x < c have infinitely many solutions and represent and interpret solutions of inequalities on number line diagrams.

Compound Inequalities
Exploring Linear Inequalities in One Variable
Linear Inequalities in Two Variables
Solving Linear Inequalities in One Variable

EE.F.A.4: Advanced students write an inequality of the form x >= c or x <= c to represent real-world contexts, recognize that inequalities of the form x >= c or x <= c have infinitely many solutions, and represent and interpret solutions of inequalities of the form x >= c or x <= c on number line diagrams.

Compound Inequalities
Exploring Linear Inequalities in One Variable
Linear Inequalities in Two Variables
Solving Linear Inequalities in One Variable

G: Geometry

G.H: Solve real-world and mathematical problems involving area, surface area, and volume.

G.H.P.1: Proficient students determine the area of triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes in both mathematical and real-world contexts;

Area of Parallelograms
Area of Triangles
Fido's Flower Bed (Perimeter and Area)

G.H.A.1: Advanced students find a missing dimension given the area of a triangle or a special quadrilateral and all but one dimension;

Area of Parallelograms
Area of Triangles
Perimeter and Area of Rectangles

G.H.B.2: Basic students apply the formulas V = lwh to find volumes of right rectangular prisms with two whole-number edge lengths and one fractional edge length in both mathematical and real-world contexts;

Balancing Blocks (Volume)
Prisms and Cylinders

G.H.B.4: Basic students identify the net of a right prism.

Surface and Lateral Areas of Prisms and Cylinders

G.H.P.4: Proficient students represent three-dimensional figures using nets made up of rectangles and triangles and use nets to find the surface area of three-dimensional figures.

Surface and Lateral Areas of Prisms and Cylinders

G.H.A.4: Advanced students use nets to find the surface area of three-dimensional figures in both mathematical and real-world contexts.

Surface and Lateral Areas of Prisms and Cylinders
Surface and Lateral Areas of Pyramids and Cones

SP: Statistics and Probability

SP.I: Develop understanding of statistical variability.

SP.I.P.1: Proficient students recognize a statistical question as one that anticipates variability;

Reaction Time 2 (Graphs and Statistics)

SP.I.A.1: Advanced students create a statistical question as one that anticipates variability;

Reaction Time 2 (Graphs and Statistics)

SP.I.P.2: Proficient students understand that a set of data 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)
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)
Real-Time Histogram
Stem-and-Leaf Plots

SP.I.A.2: Advanced students make generalizations about the center, the spread, and the overall shape of the distribution of a numerical data set presented in a graph;

Describing Data Using Statistics
Movie Reviewer (Mean and Median)
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)
Real-Time Histogram
Stem-and-Leaf Plots

SP.I.B.1: Basic students understand that the mean and the median are measures of center.

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

SP.I.P.3: Proficient students understand that the mean and the median are measures of center, and the mean absolute deviation and the interquartile range are measures of variation for a numerical data set.

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

SP.I.A.3: Advanced students make generalizations about the mean absolute deviation and the interquartile range as measures of variation for a numerical data set.

Box-and-Whisker Plots

SP.J: Summarize and describe distributions.

SP.J.P.1: Proficient students display numerical data in plots on a number line, including dot plots, histograms, and box plots;

Box-and-Whisker Plots
Histograms
Mean, Median, and Mode
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)
Stem-and-Leaf Plots

SP.J.A.1: Advanced students use measures of center (median and/or mean) and variability (interquartile range and/or mean absolute deviation) for a numerical data set to describe the distribution of the data without calculating the measures;

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

SP.J.P.3: Proficient students calculate measures of center (median and/or mean) and variability (interquartile range and/or mean absolute deviation) for a numerical data set.

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

SP.J.A.2: Advanced students demonstrate and describe the relationship between 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
Movie Reviewer (Mean and Median)
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)

Correlation last revised: 9/24/2019

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