MCC7.RP: Ratios and Proportional Relationships

MCC7.RP.2a: Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin.

 Direct and Inverse Variation
 Proportions and Common Multipliers

MCC7.RP.2b: Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.

 Beam to Moon (Ratios and Proportions)
 Dilations
 Perimeters and Areas of Similar Figures
 Similar Figures

MCC7.RP.2c: Represent proportional relationships by equations.

 Beam to Moon (Ratios and Proportions)
 Estimating Population Size
 Geometric Probability
 Polling: Neighborhood
 Theoretical and Experimental Probability

MCC7.RP.2d: Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate.

 Direct and Inverse Variation

MCC7.RP.3: Use proportional relationships to solve multistep ratio and percent problems.

 Estimating Population Size
 Percent of Change
 Percents and Proportions
 Polling: Neighborhood
 Real-Time Histogram
 Time Estimation

MCC7.NS: The Number System

MCC7.NS.1a: Describe situations in which opposite quantities combine to make 0.

 Adding and Subtracting Integers
 Adding and Subtracting Integers with Chips
 Integers, Opposites, and Absolute Values

MCC7.NS.1b: Understand p + q as the number located a distance |q| from p, in the positive or negative direction depending on whether q is positive or negative. Show that a number and its opposite have a sum of 0 (are additive inverses). Interpret sums of rational numbers by describing real-world contexts.

 Adding and Subtracting Integers
 Adding on the Number Line
 Improper Fractions and Mixed Numbers
 Integers, Opposites, and Absolute Values
 Rational Numbers, Opposites, and Absolute Values
 Simplifying Algebraic Expressions I
 Solving Algebraic Equations I
 Sums and Differences with Decimals

MCC7.NS.1c: Understand subtraction of rational numbers as adding the additive inverse, p - q = p + (-q). Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts.

 Adding and Subtracting Integers
 Equivalent Algebraic Expressions I
 Simplifying Algebraic Expressions I
 Simplifying Algebraic Expressions II
 Solving Algebraic Equations I

MCC7.NS.1d: Apply properties of operations as strategies to add and subtract rational numbers.

 Adding and Subtracting Integers with Chips

MCC7.EE: Expressions and Equations

MCC7.EE.1: Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.

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

MCC7.EE.3: Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies.

 Percent of Change
 Percents and Proportions

MCC7.EE.4a: Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach.

 Modeling and Solving Two-Step Equations
 Solving Algebraic Equations II
 Solving Two-Step Equations

MCC7.EE.4b: Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers. Graph the solution set of the inequality and interpret it in the context of the problem.

 Solving Linear Inequalities in One Variable

MCC7.G: Geometry

MCC7.G.1: Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale.

 Dilations
 Perimeters and Areas of Similar Figures
 Similar Figures

MCC7.G.4: Know the formulas for the area and circumference of a circle and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle.

 Circumference and Area of Circles

MCC7.G.5: Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve simple equations for an unknown angle in a figure.

 Investigating Angle Theorems

MCC7.G.6: Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.

 Area of Parallelograms
 Balancing Blocks (Volume)
 Perimeter and Area of Rectangles
 Prisms and Cylinders
 Pyramids and Cones
 Surface and Lateral Areas of Pyramids and Cones

MCC7.SP: Statistics and Probability

MCC7.SP.1: Understand that statistics can be used to gain information about a population by examining a sample of the population; generalizations about a population from a sample are valid only if the sample is representative of that population. Understand that random sampling tends to produce representative samples and support valid inferences.

 Polling: City
 Polling: Neighborhood

MCC7.SP.2: Use data from a random sample to draw inferences about a population with an unknown characteristic of interest. Generate multiple samples (or simulated samples) of the same size to gauge the variation in estimates or predictions.

 Estimating Population Size
 Polling: City
 Polling: Neighborhood
 Populations and Samples

MCC7.SP.4: Use measures of center and measures of variability for numerical data from random samples to draw informal comparative inferences about two populations.

 Box-and-Whisker Plots
 Reaction Time 1 (Graphs and Statistics)
 Real-Time Histogram

MCC7.SP.5: Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring. Larger numbers indicate greater likelihood. A probability near 0 indicates an unlikely event, a probability around 1/2 indicates an event that is neither unlikely nor likely, and a probability near 1 indicates a likely event.

 Geometric Probability
 Probability Simulations
 Theoretical and Experimental Probability

MCC7.SP.6: Approximate the probability of a chance event by collecting data on the chance process that produces it and observing its long-run relative frequency, and predict the approximate relative frequency given the probability.

 Probability Simulations
 Theoretical and Experimental Probability

MCC7.SP.7a: 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

MCC7.SP.8a: Understand that, just as with simple events, the probability of a compound event is the fraction of outcomes in the sample space for which the compound event occurs.

 Independent and Dependent Events

MCC7.SP.8b: Represent sample spaces for compound events using methods such as organized lists, tables and tree diagrams. For an event described in everyday language (e.g., 'rolling double sixes'), identify the outcomes in the sample space which compose the event.

 Independent and Dependent Events
 Permutations and Combinations

MCC7.SP.8c: Design and use a simulation to generate frequencies for compound events.

 Independent and Dependent Events

Correlation last revised: 5/10/2018

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