## Florida Common Core Standards for Seventh Grade Math

##### Analyzing, Graphing and Displaying Data
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##### Nonlinear Functions and Set Theory
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##### Organizing Data
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##### Plane Figures: Closed Figure Relationships
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##### Plane Figures: Lines and Angles
Plane figures in regards to lines and angles refer to the coordinate plane and the various lines and angles within the coordinate plane. Lines in a coordinate plane can be parallel or perpendicular. Read more...iWorksheets: 3Study Guides: 1
##### The Pythagorean Theorem
Pythagorean Theorem is a fundamental relation in Euclidean geometry. Use the Pythagorean Theorem and its converse to solve problems. Determine the distance between two points using the Pythagorean Theorem. Read more...iWorksheets: 4Study Guides: 1

### FL.MACC.7.EE. Expressions & Equations

#### MACC.7.EE.1. Use properties of operations to generate equivalent expressions.

##### MACC.7.EE.1.1. Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.
###### Polynomials and Exponents
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##### MACC.7.EE.1.2. Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related. For example, a + 0.05a = 1.05a means that “increase by 5%” is the same as “multiply by 1.05.”
###### Algebraic Equations
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#### MACC.7.EE.2. Solve real-life and mathematical problems using numerical and algebraic expressions and equations.

##### MACC.7.EE.2.3. 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. For example: If a woman making \$25 an hour gets a 10% raise, she will make an additional 1/10 of her salary an hour, or \$2.50, for a new salary of \$27.50. If you want to place a towel bar 9 3/4 inches long in the center of a door that is 27 1/2 inches wide, you will need to place the bar about 9 inches from each edge; this estimate can be used as a check on the exact computation.
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###### Mixed Numbers
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###### Multiply/Divide Fractions
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###### Simplify Fractions
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###### Multiply Fractions
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###### Percentage
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###### Multiple Representation of Rational Numbers
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###### Decimal Operations
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###### Exponents, Factors and Fractions
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###### Fraction Operations
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###### Introduction to Percent
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###### Integer operations
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###### Rational numbers and operations
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###### Numbers and percents
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##### MACC.7.EE.2.4. 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.
###### One & Two Step Equations
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###### Algebraic Equations
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###### Introduction to Algebra
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###### Equations and Inequalities
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###### Using Integers
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###### Decimal Operations
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###### Fraction Operations
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###### Introduction to Percent
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###### Algebraic Equations
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###### Equations and inequalities
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###### Integer operations
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###### Rational numbers and operations
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###### Solving linear equations
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###### Solving equations and inequalities
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###### Equations and Inequalities
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###### Algebraic Inequalities
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###### Equations and inequalities
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###### Integer operations
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###### Rational numbers and operations
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### FL.MACC.7.G. Geometry

#### MACC.7.G.1. Draw, construct, and describe geometrical figures and describe the relationships between them.

##### MACC.7.G.1.1. 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.
###### Geometric Proportions
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###### Ratios, proportions and percents
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###### Similarity and scale
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#### MACC.7.G.2. Solve real-life and mathematical problems involving angle measure, area, surface area, and volume.

##### MACC.7.G.2.4. 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.
###### Diameter of Circle
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###### Area
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###### Formulas
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###### Area and Circumference of Circles
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###### Measurement, Perimeter, and Circumference
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###### Exploring Area and Surface Area
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###### Perimeter and area
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##### MACC.7.G.2.5. 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.
###### Finding Volume
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### FL.MACC.7.NS. The Number System

#### MACC.7.NS.1. Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.

##### MACC.7.NS.1.1. 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.
###### MACC.7.NS.1.1.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.
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###### Mixed Numbers
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###### Fraction Operations
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###### Rational numbers and operations
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###### MACC.7.NS.1.1.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.
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###### Mixed Numbers
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###### Fraction Operations
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###### Rational numbers and operations
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###### MACC.7.NS.1.1.d. Apply properties of operations as strategies to add and subtract rational numbers.
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###### Mixed Numbers
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###### Using Integers
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###### Fraction Operations
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###### Integer operations
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###### Rational numbers and operations
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##### MACC.7.NS.1.2. Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.
###### Mixed Numbers
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###### Multiply/Divide Fractions
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###### Multiply Fractions
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###### Using Integers
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###### Fraction Operations
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###### Integer operations
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###### Rational numbers and operations
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###### Mixed Numbers
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###### Using Integers
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###### Fraction Operations
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###### Integer operations
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###### Mixed Numbers
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###### Multiply/Divide Fractions
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###### Decimal Operations
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###### Fraction Operations
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###### Rational numbers and operations
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###### Percentage
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###### Multiple Representation of Rational Numbers
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###### Rational and Irrational Numbers
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###### Introduction to Percent
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###### Numbers and percents
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##### MACC.7.NS.1.3. Solve real-world and mathematical problems involving the four operations with rational numbers.
###### Percent, Rate, Base
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###### Mixed Numbers
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###### Multiply/Divide Fractions
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###### Multiply Fractions
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###### Percentage
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###### Decimal Operations
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###### Fraction Operations
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###### Introduction to Percent
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###### Applying Percents
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###### Integer operations
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###### Rational numbers and operations
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###### Numbers and percents
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###### Applications of percent
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### FL.MACC.7.RP. Ratios & Proportional Relationships

#### MACC.7.RP.1. Analyze proportional relationships and use them to solve real-world and mathematical problems.

##### MACC.7.RP.1.1. Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. For example, if a person walks 1/2 mile in each 1/4 hour, compute the unit rate as the complex fraction 1/2/1/4 miles per hour, equivalently 2 miles per hour.
###### Numerical Proportions
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###### Ratios, proportions and percents
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##### MACC.7.RP.1.2. Recognize and represent proportional relationships between quantities.
###### Introduction to Functions
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###### Linear equations
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##### MACC.7.RP.1.3. Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error.
###### Percent, Rate, Base
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###### Introduction to Percent
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###### Applying Percents
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###### Applications of percent
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### FL.MACC.7.SP. Statistics & Probability

#### MACC.7.SP.1. Use random sampling to draw inferences about a population.

##### MACC.7.SP.1.1. 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.
###### Collecting and describing data
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###### Experimental Probability
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##### MACC.7.SP.1.2. 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. For example, estimate the mean word length in a book by randomly sampling words from the book; predict the winner of a school election based on randomly sampled survey data. Gauge how far off the estimate or prediction might be.
###### Collecting and describing data
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###### Experimental Probability
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#### MACC.7.SP.3. Investigate chance processes and develop, use, and evaluate probability models.

##### MACC.7.SP.3.5. 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.
###### Probability
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###### Introduction to Probability
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###### Using Probability
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###### Ratios, proportions and percents
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###### Experimental Probability
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###### Theoretical probability and counting
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##### MACC.7.SP.3.6. 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. For example, when rolling a number cube 600 times, predict that a 3 or 6 would be rolled roughly 200 times, but probably not exactly 200 times.
###### Introduction to Probability
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###### Experimental Probability
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##### MACC.7.SP.3.7. 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.
###### Introduction to Probability
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###### Theoretical probability and counting
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###### Introduction to Probability
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###### Experimental Probability
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##### MACC.7.SP.3.8. Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation.
###### Using Probability
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###### Using Probability
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### FL.MACC.MP. Mathematical Practices

#### MACC.MP.1. Make sense of problems and persevere in solving them.

###### Mathematical processes
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#### MACC.MP.2. Reason abstractly and quantitatively.

###### Mathematical processes
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