#### S.1: Number Sense, Properties, and Operations

S.1.GLE.1: Quantities can be expressed and compared using ratios and rates

S.1.GLE.1.IQ: Inquiry Questions:

S.1.GLE.1.IQ.1: How are ratios different from fractions?

S.1.GLE.1.RA: Relevance and Application:

S.1.GLE.1.RA.1: Knowledge of ratios and rates allows sound decision-making in daily life such as determining best values when shopping, creating mixtures, adjusting recipes, calculating car mileage, using speed to determine travel time, or making saving and investing decisions.

S.1.GLE.1.RA.3: Rates and ratios are used in mechanical devices such as bicycle gears, car transmissions, and clocks.

S.1.GLE.1.N: Nature of Mathematics:

S.1.GLE.1.N.2: Mathematicians make sense of problems and persevere in solving them.

S.1.GLE.1.N.3: Mathematicians reason abstractly and quantitatively.

S.1.GLE.2: Formulate, represent, and use algorithms with positive rational numbers flexibly, accurately, and efficiently

S.1.GLE.2.IQ: Inquiry Questions:

S.1.GLE.2.IQ.1: Why might estimation be better than an exact answer?

S.1.GLE.2.IQ.2: How do operations with fractions and decimals compare to operations with whole numbers?

S.1.GLE.2.RA: Relevance and Application:

S.1.GLE.2.RA.1: Rational numbers are an essential component of mathematics. Understanding fractions, decimals, and percentages is the basis for probability, proportions, measurement, money, algebra, and geometry.

S.1.GLE.2.N: Nature of Mathematics:

S.1.GLE.2.N.1: Mathematicians envision and test strategies for solving problems.

S.1.GLE.2.N.2: Mathematicians model with mathematics.

S.1.GLE.3: In the real number system, rational numbers have a unique location on the number line and in space

S.1.GLE.3.IQ: Inquiry Questions:

S.1.GLE.3.IQ.1: Why are there negative numbers?

S.1.GLE.3.IQ.2: How do we compare and contrast numbers?

S.1.GLE.3.RA: Relevance and Application:

S.1.GLE.3.RA.2: Negative numbers can be used to represent quantities less than zero or quantities with an associated direction such as debt, elevations below sea level, low temperatures, moving backward in time, or an object slowing down.

S.1.GLE.3.N: Nature of Mathematics:

S.1.GLE.3.N.1: Mathematicians use their understanding of relationships among numbers and the rules of number systems to create models of a wide variety of situations.

S.1.GLE.3.N.2: Mathematicians construct viable arguments and critique the reasoning of others.

#### S.2: Patterns, Functions, and Algebraic Structures

S.2.GLE.1: Algebraic expressions can be used to generalize properties of arithmetic

S.2.GLE.1.IQ: Inquiry Questions:

S.2.GLE.1.IQ.1: If we didn't have variables, what would we use?

S.2.GLE.1.IQ.2: What purposes do variable expressions serve?

S.2.GLE.1.IQ.4: Why does the order of operations exist?

S.2.GLE.1.RA: Relevance and Application:

S.2.GLE.1.RA.1: The simplification of algebraic expressions allows one to communicate mathematics efficiently for use in a variety of contexts.

S.2.GLE.1.N: Nature of Mathematics:

S.2.GLE.1.N.3: Mathematicians reason abstractly and quantitatively.

S.2.GLE.2: Variables are used to represent unknown quantities within equations and inequalities

S.2.GLE.2.IQ: Inquiry Questions:

S.2.GLE.2.IQ.1: Do all equations have exactly one unique solution? Why?

S.2.GLE.2.N: Nature of Mathematics:

S.2.GLE.2.N.1: Mathematicians use graphs and equations to represent relationships among variables. They use multiple representations to gain insights into the relationships between variables.

S.2.GLE.2.N.3: Mathematicians model with mathematics.

#### S.3: Data Analysis, Statistics, and Probability

S.3.GLE.1: Visual displays and summary statistics of one-variable data condense the information in data sets into usable knowledge

S.3.GLE.1.IQ: Inquiry Questions:

S.3.GLE.1.IQ.2: When is one data display better than another?

S.3.GLE.1.IQ.4: What makes a good statistical question?

S.3.GLE.1.RA: Relevance and Application:

S.3.GLE.1.RA.1: Comprehension of how to analyze and interpret data allows better understanding of large and complex systems such as analyzing employment data to better understand our economy, or analyzing achievement data to better understand our education system.

S.3.GLE.1.RA.2: Different data analysis tools enable the efficient communication of large amounts of information such as listing all the student scores on a state test versus using a box plot to show the distribution of the scores.

S.3.GLE.1.N: Nature of Mathematics:

S.3.GLE.1.N.1: Mathematicians leverage strategic displays to reveal data.

S.3.GLE.1.N.2: Mathematicians model with mathematics.

#### S.4: Shape, Dimension, and Geometric Relationships

S.4.GLE.1: Objects in space and their parts and attributes can be measured and analyzed

S.4.GLE.1.IQ: Inquiry Questions:

S.4.GLE.1.IQ.3: What does area tell you about a figure?

S.4.GLE.1.IQ.4: What properties affect the area of figures?

S.4.GLE.1.RA: Relevance and Application:

S.4.GLE.1.RA.1: Knowledge of how to find the areas of different shapes helps do projects in the home and community. For example how to use the correct amount of fertilizer in a garden, buy the correct amount of paint, or buy the right amount of material for a construction project.

S.4.GLE.1.RA.2: The application of area measurement of different shapes aids with everyday tasks such as buying carpeting, determining watershed by a center pivot irrigation system, finding the number of gallons of paint needed to paint a room, decomposing a floor plan, or designing landscapes.

S.4.GLE.1.N: Nature of Mathematics:

S.4.GLE.1.N.3: Mathematicians make sense of problems and persevere in solving them.

S.4.GLE.1.N.4: Mathematicians reason abstractly and quantitatively.

Correlation last revised: 9/22/2020

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