RP: Ratios and Proportional Relationships

RP.A: Analyze proportional relationships and use them to solve problems.

RP.A.1: Compute unit rates, including those that involve complex fractions, with like or different units.

 Beam to Moon (Ratios and Proportions)

RP.A.2: Recognize and represent proportional relationships between quantities.

RP.A.2.a: Determine when two quantities are in a proportional relationship.

 Beam to Moon (Ratios and Proportions)
 Direct and Inverse Variation
 Estimating Population Size
 Geometric Probability
 Part-to-part and Part-to-whole Ratios
 Percents and Proportions
 Proportions and Common Multipliers

RP.A.2.b: Identify and/or compute the constant of proportionality (unit rate).

 Beam to Moon (Ratios and Proportions)
 Dilations
 Direct and Inverse Variation

RP.A.2.c: Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation.

 Direct and Inverse Variation

RP.A.2.d: Recognize that the graph of any proportional relationship will pass through the origin.

 Direct and Inverse Variation

RP.A.3: Solve problems involving ratios, rates, percentages and proportional relationships.

 Beam to Moon (Ratios and Proportions)
 Direct and Inverse Variation
 Estimating Population Size
 Geometric Probability
 Part-to-part and Part-to-whole Ratios
 Percent of Change
 Percents, Fractions, and Decimals
 Proportions and Common Multipliers
 Real-Time Histogram
 Road Trip (Problem Solving)
 Time Estimation

NS: Number Sense and Operations

NS.A: Apply and extend previous understandings of operations to add, subtract, multiply and divide rational numbers.

NS.A.1: Apply and extend previous understandings of numbers to add and subtract rational numbers.

NS.A.1.a: Add and subtract rational numbers.

 Adding Fractions (Fraction Tiles)
 Adding and Subtracting Integers
 Adding on the Number Line
 Estimating Sums and Differences
 Fractions Greater than One (Fraction Tiles)
 Improper Fractions and Mixed Numbers
 Sums and Differences with Decimals

NS.A.1.b: Represent addition and subtraction on a horizontal or vertical number line.

 Adding and Subtracting Integers
 Adding on the Number Line
 Fractions Greater than One (Fraction Tiles)

NS.A.1.c: Describe situations and show that a number and its opposite have a sum of 0 (additive inverses).

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

NS.A.1.d: Understand subtraction of rational numbers as adding the additive inverse.

 Adding and Subtracting Integers
 Adding on the Number Line
 Simplifying Algebraic Expressions I

NS.A.1.e: Determine the distance between two rational numbers on the number line is the absolute value of their difference.

 Rational Numbers, Opposites, and Absolute Values

NS.A.1.f: Interpret sums and differences of rational numbers.

 Adding Fractions (Fraction Tiles)
 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
 Sums and Differences with Decimals

NS.A.2: Apply and extend previous understandings of numbers to multiply and divide rational numbers.

NS.A.2.a: Multiply and divide rational numbers.

 Adding and Subtracting Integers
 Dividing Fractions
 Dividing Mixed Numbers
 Multiplying Fractions
 Multiplying Mixed Numbers
 Multiplying with Decimals

NS.A.2.d: Convert a rational number to a decimal.

 Part-to-part and Part-to-whole Ratios
 Percents, Fractions, and Decimals

NS.A.2.e: Understand that all rational numbers can be written as fractions or decimal numbers that terminate or repeat.

 Estimating Sums and Differences
 Fraction Garden (Comparing Fractions)
 Percents, Fractions, and Decimals
 Rational Numbers, Opposites, and Absolute Values
 Toy Factory (Set Models of Fractions)

NS.A.3: Solve problems involving the four arithmetic operations with rational numbers.

 Adding Fractions (Fraction Tiles)
 Adding and Subtracting Integers
 Adding on the Number Line
 Dividing Fractions
 Dividing Mixed Numbers
 Estimating Population Size
 Estimating Sums and Differences
 Fractions Greater than One (Fraction Tiles)
 Improper Fractions and Mixed Numbers
 Multiplying Fractions
 Multiplying Mixed Numbers
 Multiplying with Decimals
 Sums and Differences with Decimals

EEI: Expressions, Equations and Inequalities

EEI.A: Use properties of operations to generate equivalent expressions.

EEI.A.1: Apply properties of operations to simplify and to factor linear algebraic expressions with rational coefficients.

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

EEI.B: Solve problems using numerical and algebraic expressions and equations.

EEI.B.1: Solve multi-step problems posed with rational numbers.

EEI.B.1.a: Convert between equivalent forms of the same number.

 Dividing Mixed Numbers
 Fraction Garden (Comparing Fractions)
 Improper Fractions and Mixed Numbers
 Part-to-part and Part-to-whole Ratios
 Percents, Fractions, and Decimals
 Rational Numbers, Opposites, and Absolute Values

EEI.B.1.b: Assess the reasonableness of answers using mental computation and estimation strategies.

 Estimating Sums and Differences

EEI.B.2: Write and/or solve linear equations and inequalities in one variable.

EEI.B.2.a: Write and/or solve equations of the form x + p = q and px = q in which p and q are rational numbers.

 Solving Algebraic Equations II
 Solving Equations on the Number Line

EEI.B.2.b: Write and/or solve two-step equations of the form px + q = r and p(x + q) = r, where p, q and r are rational numbers, and interpret the meaning of the solution in the context of the problem.

 Solving Algebraic Equations II
 Solving Equations on the Number Line

EEI.B.2.c: Write, solve and/or graph inequalities of the form px + q > r or px + q < r, where p, q and r are rational numbers.

 Absolute Value Equations and Inequalities

GM: Geometry and Measurement

GM.A: Draw and describe geometrical figures and describe the relationships between them.

GM.A.1: Solve problems involving scale drawings of real objects and geometric figures, including computing actual lengths and areas from a scale drawing and reproducing the drawing at a different scale.

 Dilations
 Similar Figures

GM.A.4: Understand concepts of circles.

GM.A.4.a: Analyze the relationships among the circumference, the radius, the diameter, the area and Pi in a circle.

 Circumference and Area of Circles

GM.A.4.b: Know and apply the formulas for circumference and area of circles to solve problems.

 Circumference and Area of Circles

GM.B: Apply and extend previous understanding of angle measure, area and volume.

GM.B.2: Understand the relationship between area, surface area and volume.

GM.B.2.a: Find the area of triangles, quadrilaterals and other polygons composed of triangles and rectangles.

 Area of Parallelograms
 Area of Triangles
 Chocomatic (Multiplication, Arrays, and Area)
 Fido's Flower Bed (Perimeter and Area)
 Perimeter and Area of Rectangles

GM.B.2.b: Find the volume and surface area of prisms, pyramids and cylinders.

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

DSP: Data Analysis, Statistics and Probability

DSP.A: Use random sampling to draw inferences about a population.

DSP.A.1: Understand that statistics can be used to gain information about a population by examining a sample of the population.

DSP.A.1.b: Understand that generalizations from a sample are valid only if the sample is representative of the population.

 Polling: City
 Polling: Neighborhood

DSP.A.1.c: Understand that random sampling is used to produce representative samples and support valid inferences.

 Polling: City

DSP.B: Draw informal comparative inferences about two populations.

DSP.B.1: Analyze different data distributions using statistical 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
 Stem-and-Leaf Plots

DSP.B.2: Compare the numerical measures of center, measures of frequency and measures of variability from two random samples to draw inferences about the population.

 Polling: City
 Populations and Samples
 Real-Time Histogram

DSP.C: Develop, use and evaluate probability models.

DSP.C.1: Investigate the probability of chance events.

DSP.C.1.a: Determine probabilities of simple events.

 Independent and Dependent Events
 Theoretical and Experimental Probability

DSP.C.1.b: Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring.

 Geometric Probability
 Probability Simulations
 Spin the Big Wheel! (Probability)
 Theoretical and Experimental Probability

DSP.C.2: Investigate the relationship between theoretical and experimental probabilities for simple events.

DSP.C.2.a: Predict outcomes using theoretical probability.

 Independent and Dependent Events
 Probability Simulations
 Theoretical and Experimental Probability

DSP.C.2.b: Perform experiments that model theoretical probability.

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

DSP.C.2.c: Compare theoretical and experimental probabilities.

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

DSP.C.3: Explain possible discrepancies between a developed probability model and observed frequencies.

DSP.C.3.a: Develop a uniform probability model by assigning equal probability to all outcomes, and use the model to determine probabilities of events.

 Independent and Dependent Events
 Probability Simulations

DSP.C.4: Find probabilities of compound events using organized lists, tables, tree diagrams and simulations.

DSP.C.4.a: Represent the sample space of a compound event.

 Independent and Dependent Events

DSP.C.4.b: Design and use a simulation to generate frequencies for compound events.

 Independent and Dependent Events

Correlation last revised: 1/19/2017

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