Alabama Common Core

7.RP.1: Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units.

Area of Parallelograms - Activity B

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

Polling: Neighborhood

Road Trip (Problem Solving)

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

7.RP.2.a: 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.

Fraction Garden (Comparing Fractions)

Points, Lines, and Equations

Polling: Neighborhood

Toy Factory (Set Models of Fractions)

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

Elevator Operator (Line Graphs)

Road Trip (Problem Solving)

7.RP.2.d: 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.

Elevator Operator (Line Graphs)

Road Trip (Problem Solving)

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

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

Percents and Proportions

Polling: Neighborhood

7.NS.4: Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram.

7.NS.4.a: Describe situations in which opposite quantities combine to make 0.

Comparing and Ordering Integers

7.NS.4.b: 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 Real Numbers

Adding and Subtracting Integers

Adding and Subtracting Integers with Chips

Sums and Differences with Decimals

7.NS.4.c: 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.

Real Number Line - Activity A

Real Number Line - Activity B

Sums and Differences with Decimals

7.NS.4.d: Apply properties of operations as strategies to add and subtract rational numbers.

Elevator Operator (Line Graphs)

Road Trip (Problem Solving)

7.NS.5: Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.

7.NS.5.a: Understand that multiplication is extended from fractions to rational numbers by requiring that operations continue to satisfy the properties of operations, particularly the distributive property, leading to products such as (?1)(?1) = 1 and the rules for multiplying signed numbers. Interpret products of rational numbers by describing real-world contexts.

Chocomatic (Multiplication, Arrays, and Area)

Multiplying Fractions

Multiplying Mixed Numbers

Multiplying with Decimals

7.NS.5.b: Understand that integers can be divided, provided that the divisor is not zero, and every quotient of integers (with non-zero divisor) is a rational number. If p and q are integers, then ?(p/q) = (?p)/q = p/(?q). Interpret quotients of rational numbers by describing real-world contexts.

Dividing Fractions

Dividing Mixed Numbers

7.NS.5.c: Apply properties of operations as strategies to multiply and divide rational numbers.

Dividing Fractions

Dividing Mixed Numbers

Multiplying Fractions

Multiplying Mixed Numbers

Multiplying with Decimals

7.NS.5.d: Convert a rational number to a decimal using long division; know that the decimal form of a rational number terminates in 0s or eventually repeats.

Percents, Fractions, and Decimals

7.NS.6: Solve real-world and mathematical problems involving the four operations with rational numbers.

Adding Real Numbers

Dividing Fractions

Dividing Mixed Numbers

Estimating Population Size

Fractions with Unlike Denominators

Multiplying Fractions

Multiplying Mixed Numbers

Multiplying with Decimals

Sums and Differences with Decimals

7.EE.7: Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.

Adding Real Numbers

Finding Factors with Area Models

Sums and Differences with Decimals

7.EE.9: 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.

Percents, Fractions, and Decimals

Real Number Line - Activity A

Real Number Line - Activity B

7.EE.10: Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.

7.EE.10.a: 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

Road Trip (Problem Solving)

Solving Two-Step Equations

7.EE.10.b: 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.

Compound Inequalities

Solving Linear Inequalities using Addition and Subtraction

Solving Linear Inequalities using Multiplication and Division

7.G.11: 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.

Adding Real Numbers

Area of Parallelograms - Activity B

7.G.12: Draw (freehand, with ruler and protractor, and with technology) geometric shapes with given conditions. Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle.

Bisectors in Triangles

Classifying Triangles

7.G.14: 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.

Circle: Circumference and Area

Perimeter, Circumference, and Area - Activity B

7.G.15: 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 - Activity A

Modeling and Solving Two-Step Equations

Solving Two-Step Equations

7.G.16: 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 - Activity A

Area of Parallelograms - Activity B

Bisectors in Triangles

Prisms and Cylinders - Activity A

Surface and Lateral Area of Prisms and Cylinders

Triangle Angle Sum - Activity A

7.SP.17: 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

Reaction Time 1 (Graphs and Statistics)

Reaction Time 2 (Graphs and Statistics)

7.SP.18: 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.

Polling: City

Polling: Neighborhood

Probability Simulations

7.SP.19: Informally assess the degree of visual overlap of two numerical data distributions with similar variabilities, measuring the difference between the centers by expressing it as a multiple of a measure of variability.

Describing Data Using Statistics

Line Plots

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

7.SP.20: Use measures of center and measures of variability for numerical data from random samples to draw informal comparative inferences about two populations.

Line Plots

Mean, Median and Mode

Movie Reviewer (Mean and Median)

Polling: Neighborhood

Reaction Time 1 (Graphs and Statistics)

Reaction Time 2 (Graphs and Statistics)

7.SP.21: 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.

Spin the Big Wheel! (Probability)

7.SP.23: Develop a probability model and use it to find probabilities of events. Compare probabilities from a model to observed frequencies; if the agreement is not good, explain possible sources of the discrepancy.

7.SP.23.a: Develop a uniform probability model by assigning equal probability to all outcomes, and use the model to determine probabilities of events.

Spin the Big Wheel! (Probability)

7.SP.23.b: Develop a probability model (which may not be uniform) by observing frequencies in data generated from a chance process.

Spin the Big Wheel! (Probability)

7.SP.24: Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation.

7.SP.24.a: 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.

Compound Independent Events

Compound Independent and Dependent Events

7.SP.24.b: 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.

Compound Independent Events

Compound Independent and Dependent Events

Histograms

Permutations and Combinations

Reaction Time 1 (Graphs and Statistics)

Reaction Time 2 (Graphs and Statistics)

7.SP.24.c: Design and use a simulation to generate frequencies for compound events.

Compound Independent Events

Compound Independent and Dependent Events

Correlation last revised: 3/17/2015