Mathematical Mindset Goals: Throughout this class....

• MM 1.0 Students will apply mathematical thinking processes (e.g., visualizing, conjecturing, justifying, and proving) to formulate structured solutions and clearly document problem-solving steps.

• MM 2.0 Students will actively engage in mathematics by using effective strategies, persisting through challenges, reflecting on their problem-solving process, 

• MM 3.0 Students will demonstrate a growth mindset by valuing utility, diligence and effort in mathematics, understanding that mathematical skills are developed through perseverance, practice, and learning from mistakes.

What is a Student Learning Outcome (SLO), and Why Does It Matter?

A Student Learning Outcome, or SLO, is a clear statement that describes what you should be able to know, do, or understand after completing a class, assignment, or course.

It helps answer this question:
"What will I walk away with after learning this?"

• SLO 1.1 Students will apply and evaluate multiple problem-solving strategies, including Polya's 4-step process, mathematical thinking, and algebraic reasoning to mathematical problems and real-world scenarios.

• SLO 1.2 Students will analyze, translate, solve, and interpret mathematical problems and real-world scenarios.

• SLO 1.3 Students will create a mathematical problem-solving scenario inspired by real-world observations and analyze it using strategies such as counting, measuring, identifying patterns, or quantifying spatial relationships.

• SLO 1.4 Students will be able to analyze and use mathematical language, symbols, and structures to communicate mathematical ideas effectively, demonstrating an understanding of precision and logic in problem-solving.

• SLO 2.1 Students will demonstrate an understanding of foundational set theory by defining and manipulating sets and using set operations (e.g., union, intersection, complement) to construct and analyze new sets.

• SLO 2.2 Students will analyze and apply the properties and functions of whole numbers, distinguishing between their various uses (cardinal, ordinal, and identification) and explaining relationships such as greater than and less than through set-based representations.

• SLO 2.3 Students will compare Egyptian, Roman, and Hindu-Arabic numeration systems, identifying differences in place value, positionality, and arithmetic operations, and evaluate each system's advantages and limitations.

• SLO 2.4 Students will demonstrate proficiency with the Hindu-Arabic numeration system by converting between bases, expanding numbers, and articulating the system's structure, base, and numeral naming conventions.

• SLO 3.1 Students will demonstrate a comprehensive understanding of whole number operations, including addition, subtraction, multiplication, and division, by modeling each operation with set and measurement models and analyzing their properties.

• SLO 3.2 Students will apply strategies for mental computation in addition, subtraction, and multiplication across different bases and demonstrate mastery of basic facts using commutativity, associativity, and distributive properties.

• SLO 3.3 Students will analyze and apply the properties of whole numbers in relation to inequality, including transitivity, addition, and multiplication properties of "less than," as well as use addition to establish comparative relationships.

• SLO 3.4 Students will demonstrate an understanding of whole number exponents by defining exponents through repeated multiplication and proving fundamental exponent rules.

• SLO 3.5 Students will evaluate numerical expressions involving whole numbers using the conventional order of operations (including parentheses, exponents, multiplication, division, addition, and subtraction), to arrive at a unique and correct solution.

• SLO 4.1 Students will apply mental math and computational estimation techniques, such as using compatible numbers, properties, and rounding strategies, to solve mathematical problems efficiently and accurately.

• SLO 4.2 Students will compare how basic and scientific calculators interpret and solve expressions, distinguishing between arithmetic logic (step-by-step entry) and algebraic logic (order of operations) while using calculator functions effectively (e.g., memory, exponent, and parentheses keys) to computer accurate results.

• SLO 4.3 Students will model and justify standard written algorithms for basic operations (addition, subtraction, multiplication, division) using concrete models, place value, and mathematical properties.

• SLO 4.4 Students will compute sums, differences, products, and quotients in various bases (2–12) using standard algorithms and nontraditional methods, such as lattice and scaffold techniques.

• SLO 5.1 Students will analyze and apply properties of numbers, including divisibility rules and the Fundamental Theorem of Arithmetic, to determine the prime or composite nature of numbers and represent them using prime factorization

• SLO 5.2 Students will demonstrate proficiency in identifying prime numbers using methods such as the Sieve of Eratosthenes and analyzing the relationship between prime factors and number properties

• SLO 5.3 Students will compute the greatest common factor (GCF) and least common multiple (LCM) of pairs of numbers using various methods, including prime factorization, set intersection, and algorithms

• SLO 5.4 Students will evaluate the relationships between the GCF, LCM, and the product of two numbers, demonstrating a deeper understanding of number relationships and their practical applications.

• SLO 6.1 Students will model and compare fractions using visual, verbal, and symbolic representations, and explain how these models support conceptual understanding and simplification strategies.

• SLO 6.2 Students will analyze and compute sums and differences of fractions, applying addition and subtraction properties and using estimation techniques to verify the reasonableness of results of real-world problems.

• SLO 6.3 Students will use visual models and real-life contexts to represent and compute multiplication and division of fractions, justifying the methods they choose and interpreting the results.

• SLO 6.4 Students will evaluate the application of mental math and estimation techniques for operations with fractions, including rounding, range estimation, and using compatible numbers to simplify calculations.

• SLO 7.1 Students will demonstrate understanding of decimal numbers by representing them visually (using number lines, hundreds squares, and grids), translating between word names and expanded forms, and ordering them based on place value and fraction equivalence.

• SLO 7.2 Students will compute with decimals and justify operations, including multiplying or dividing by powers of 10, using estimation techniques to evaluate sums, differences, products, and quotients effectively.

• SLO 7.3 Students will analyze and convert between fractions, decimals, and percentages, distinguishing between terminating, repeating, and nonterminating decimal representations and classifying their corresponding fractions.

• SLO 7.4 Students will solve problems involving ratios, rates, and proportions, comparing part-to-part and part-to-whole quantities, interpreting units, and applying strategies such as cross multiplication and scaling.

• SLO 7.5 Students will apply percentages to solve real-world problems by representing n% on grids, converting between percentages and fractions or decimals, and solving percent problems using equations, proportions, and calculators.

• SLO 7.6 Students will use scientific notation to represent decimal numbers efficiently and interpret scientific notation results in mathematical and scientific contexts.

• SLO 8.1 Students will represent integers using models such as the integer number line and colored chips, and demonstrate addition, subtraction, and ordering of integers using these tools.

• SLO 8.2 Students will analyze and apply the properties of integer operations, including addition, subtraction, multiplication, and division, to solve mathematical problems and verify relationships such as closure, commutativity, and distributivity.

• SLO 8.3 Students will explain integer multiplication and division through repeated addition, patterns, and missing-factor approaches, and compute using negative exponents and scientific notation.

• SLO 8.4 Students will evaluate relationships between integers, applying the properties of inequalities (e.g., transitivity, multiplication by a positive or negative number) and theorems such as additive cancellation and opposite of the opposite