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SC.7.DSP.Data Analysis, Statistics, and Probability
Data Analysis, Statistics, and Probability
7.DSP.1. Investigate concepts of random sampling.7.DSP.1a. Understand that a sample is a subset of a population and both possess the same characteristics.
7.DSP.1d. Understand that random sampling is used to gather a representative sample and supports valid inferences about the population.
7.DSP.4. Compare the numerical measures of center (mean, median, mode) and variability (range, interquartile range, mean absolute deviation) from two random samples to draw inferences about the populations.Quiz, Flash Cards, Worksheet, Game & Study Guide Statistics
7.DSP.5. Investigate the concept of probability of chance events.7.DSP.5a. Determine probabilities of simple events.
7.DSP.5b. Understand that probability measures likelihood of a chance event occurring.Quiz, Flash Cards, Worksheet, Game & Study Guide Probability
7.DSP.5c. Understand that the probability of a chance event is a number between 0 and 1.Quiz, Flash Cards, Worksheet, Game & Study Guide Probability
7.DSP.5d. Understand that a probability closer to 1 indicates a likely chance event.Quiz, Flash Cards, Worksheet, Game & Study Guide Probability
7.DSP.5e. Understand that a probability close to 1/2 indicates that a chance event is neither likely nor unlikely.Quiz, Flash Cards, Worksheet, Game & Study Guide Probability
7.DSP.5f. Understand that a probability closer to 0 indicates an unlikely chance event.Quiz, Flash Cards, Worksheet, Game & Study Guide Probability
7.DSP.6. Investigate the relationship between theoretical and experimental probabilities for simple events.7.DSP.6a. Determine approximate outcomes using theoretical probability.
7.DSP.6b. Perform experiments that model theoretical probability.
7.DSP.6c. Compare theoretical and experimental probabilities.
7.DSP.7. Apply the concepts of theoretical and experimental probabilities for simple events.7.DSP.7c. Perform experiments to test the validity of probability models.
7.DSP.8. Extend the concepts of simple events to investigate compound events.7.DSP.8a. Understand that the probability of a compound event is between 0 and 1.Quiz, Flash Cards, Worksheet, Game & Study Guide Probability
7.DSP.8b. Identify the outcomes in a sample space using organized lists, tables, and tree diagrams.
7.DSP.8c. Determine probabilities of compound events using organized lists, tables, and tree diagrams.
7.DSP.8e. Compare theoretical and experimental probabilities for compound events.
SC.7.EEI.Expressions, Equations, and Inequalities
Expressions, Equations, and Inequalities
7.EEI.1. Apply mathematical properties (e.g., commutative, associative, distributive) to simplify and to factor linear algebraic expressions with rational coefficients.
7.EEI.3. Extend previous understanding of Order of Operations to solve multi-step real-world and mathematical problems involving rational numbers. Include fraction bars as a grouping symbol.Quiz, Flash Cards, Worksheet, Game & Study Guide Percentage
7.EEI.4. Apply the concepts of linear equations and inequalities in one variable to real-world and mathematical situations.7.EEI.4a. Write and fluently solve linear equations of the form ax+b=c and a(x+b)=c where a, b, and c are rational numbers.
7.EEI.4b. Write and solve multi-step linear equations that include the use of the distributive property and combining like terms. Exclude equations that contain variables on both sides.
7.EEI.4c. Write and solve two-step linear inequalities. Graph the solution set on a number line and interpret its meaning.
7.EEI.5. Understand and apply the laws of exponents (i.e., product rule, quotient rule, power to a power, product to a power, quotient to a power, zero power property) to simplify numerical expressions that include whole-number exponents.Quiz, Flash Cards, Worksheet, Game & Study Guide Exponents
SC.7.GM.Geometry and Measurement
7.GM.1. Determine the scale factor and translate between scale models and actual measurements (e.g., lengths, area) of real-world objects and geometric figures using proportional reasoning.
7.GM.4. Investigate the concept of circles.7.GM.4a. Demonstrate an understanding of the proportional relationships between diameter, radius, and circumference of a circle.
7.GM.4b. Understand that the constant of proportionality between the circumference and diameter is equivalent to π.Quiz, Flash Cards, Worksheet, Game & Study Guide Area
7.GM.4d. Use the formulas for circumference and area of circles appropriately to solve real-world and mathematical problems.Quiz, Flash Cards, Worksheet, Game & Study Guide Area Quiz, Flash Cards, Worksheet, Game & Study Guide Formulas
7.GM.5. Write equations to solve problems involving the relationships between angles formed by two intersecting lines, including supplementary, complementary, vertical, and adjacent.
7.GM.6. Apply the concepts of two- and three-dimensional figures to real-world and mathematical situations.7.GM.6a. Understand that the concept of area is applied to two-dimensional figures such as triangles, quadrilaterals, and polygons.Quiz, Flash Cards, Worksheet, Game & Study Guide Area
7.GM.6b. Understand that the concepts of volume and surface area are applied to three-dimensional figures such as cubes, right rectangular prisms, and right triangular prisms.Quiz, Flash Cards, Worksheet, Game & Study Guide Volume
7.GM.6d. Use the formulas for area, volume, and surface area appropriately.Quiz, Flash Cards, Worksheet, Game & Study Guide Area Quiz, Flash Cards, Worksheet, Game & Study Guide Formulas Quiz, Flash Cards, Worksheet, Game & Study Guide Volume
SC.7.NS.The Number System
7.NS.1. Extend prior knowledge of operations with positive rational numbers to add and to subtract all rational numbers and represent the sum or difference on a number line.7.NS.1a. Understand that the additive inverse of a number is its opposite and their sum is equal to zero.
7.NS.1b. Understand that the sum of two rational numbers (p+q) represents a distance from p on the number line equal to |q| where the direction is indicated by the sign of q.
7.NS.1c. Translate between the subtraction of rational numbers and addition using the additive inverse, p-q=p+(-q).
7.NS.1e. Apply mathematical properties (e.g., commutative, associative, distributive, or the properties of identity and inverse elements) to add and subtract rational numbers.
7.NS.2. Extend prior knowledge of operations with positive rational numbers to multiply and to divide all rational numbers.7.NS.2a. Understand that the multiplicative inverse of a number is its reciprocal and their product is equal to one.
7.NS.2b. Understand sign rules for multiplying rational numbers.
7.NS.2c. Understand sign rules for dividing rational numbers and that a quotient of integers (with a non-zero divisor) is a rational number.
7.NS.2d. Apply mathematical properties (e.g., commutative, associative, distributive, or the properties of identity and inverse elements) to multiply and divide rational numbers.
7.NS.2e. Understand that some rational numbers can be written as integers and all rational numbers can be written as fractions or decimal numbers that terminate or repeat.
7.NS.3. Apply the concepts of all four operations with rational numbers to solve real-world and mathematical problems.Quiz, Flash Cards, Worksheet, Game & Study Guide Percentage
7.NS.4. Understand and apply the concepts of comparing and ordering to rational numbers.7.NS.4a. Interpret statements using less than (<), greater than (>), less than or equal to (≤), greater than or equal to (≥), and equal to (=) as relative locations on the number line.
7.NS.4b. Use concepts of equality and inequality to write and explain real-world and mathematical situations.
7.NS.5. Extend prior knowledge to translate among multiple representations of rational numbers (fractions, decimal numbers, and percentages). Exclude the conversion of repeating decimal numbers to fractions.Quiz, Flash Cards, Worksheet, Game & Study Guide Percentage
SC.7.RP.Ratios and Proportional Relationships
Ratios and Proportional Relationships
7.RP.1. Compute unit rates, including those involving complex fractions, with like or different units.
7.RP.2. Identify and model proportional relationships given multiple representations, including tables, graphs, equations, diagrams, verbal descriptions, and real-world situations.7.RP.2a. Determine when two quantities are in a proportional relationship.Quiz, Flash Cards, Worksheet, Game & Study Guide Ratio
7.RP.2b. Recognize or compute the constant of proportionality.
7.RP.2c. Understand that the constant of proportionality is the unit rate.
7.RP.2d. Use equations to model proportional relationships.Quiz, Flash Cards, Worksheet, Game & Study Guide Ratio
7.RP.3. Solve real-world and mathematical problems involving ratios and percentages using proportional reasoning (e.g., multi-step dimensional analysis, percent increase/decrease, tax).Quiz, Flash Cards, Worksheet, Game & Study Guide Percentage Quiz, Flash Cards, Worksheet, Game & Study Guide Ratio
SC.PS.South Carolina College- and Career-Ready Mathematical Process Standards
South Carolina College- and Career-Ready Mathematical Process Standards
PS.1. Make sense of problems and persevere in solving them.PS.1a. Relate a problem to prior knowledge.
PS.1b. Recognize there may be multiple entry points to a problem and more than one path to a solution.
PS.1c. Analyze what is given, what is not given, what is being asked, and what strategies are needed, and make an initial attempt to solve a problem.
PS.1d. Evaluate the success of an approach to solve a problem and refine it if necessary.
PS.2. Reason both contextually and abstractly.PS.2a. Make sense of quantities and their relationships in mathematical and real-world situations.
PS.2d. Connect the meaning of mathematical operations to the context of a given situation.
PS.3. Use critical thinking skills to justify mathematical reasoning and critique the reasoning of others.PS.3c. Make conjectures and explore their validity.
PS.4. Connect mathematical ideas and real-world situations through modeling.PS.4c. Make assumptions and estimates to simplify complicated situations.Quiz, Flash Cards, Worksheet, Game & Study Guide Estimation
PS.6. Communicate mathematically and approach mathematical situations with precision.PS.6c. Use appropriate and precise mathematical language.Quiz, Flash Cards, Worksheet, Game & Study Guide Area Quiz, Flash Cards, Worksheet, Game & Study Guide Coordinates Quiz, Flash Cards, Worksheet, Game & Study Guide Functions Quiz, Flash Cards, Worksheet, Game & Study Guide Graphs Quiz, Flash Cards, Worksheet, Game & Study Guide Measurement Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter Quiz, Flash Cards, Worksheet, Game & Study Guide Probability Quiz, Flash Cards, Worksheet, Game & Study Guide Sequences Quiz, Flash Cards, Worksheet, Game & Study Guide Statistics Quiz, Flash Cards, Worksheet, Game & Study Guide Tables Quiz, Flash Cards, Worksheet, Game & Study Guide Volume
PS.6d. Use appropriate units, scales, and labels.Quiz, Flash Cards, Worksheet, Game & Study Guide Measurement