# Numeracy

## 2-part College Numeracy Course to Satisfy Quantitative Reasoning Requirements for Non-STEM Majors

A series of two or combination of 2 UNIVERSAL PRACTICAL MATH COURSES designed to satisfy the Quantitative Reasoning (QR) Breath and Depth Requirements for a non-STEM Bachelor degree.

**UDL Universal Math Literacy or Math Appreciation course outcomes:**

Student will successfully teach decimal system basics, numeration, digits, and recognizable number patterns.

Student will explicitly teach logical verbal reasoning and model LVR for decoding, interpretation, reasoning, translation, and encoding.

Student will independently demonstrate the use of a full SI place value chart to orient to the decimal point, identify the unit, and to successfully interpret visual-spatial, directional, sequential information.

Student will independently demonstrate the use of a full SI place value chart to readily perform conversions among monetary units.

Student will independently demonstrate the use of a full SI place value chart to readily perform conversions among metric units.

Student will demonstrate all metric units of measurement.

Student will demonstrate common US units of measurement.

Student will demonstrate conversion between metric and US units with the use of apps.

Student will consistently demonstrate the use of maps, diagrams, and other visual-spatial aids, to establish. locaton, directionality, orientation, organization, movement, and sequencing.

Student will demonstrate practical strategies and tools for visual-spatial awareness and orientation.

Student will demonstrate competency in planning and executing navigation in a variety of situations.

Student will demonstrate math language fluency through the efficient use of digital and tangible full SI place value charts, Dyscalculia Stack of SI Money (Dysc$), and apps to visually organize, experience, model, manipulate, reason, calculate, document, and demonstrate understanding and problem solving with negative and positive integers.

Student will demonstrate math language fluency through the efficient use of a complete SI digital and tangible place value chart, Dysc$ money, and apps to model fractions, decimals, mixed numbers, and equivalency, and to problem-solve and manipulate fractions in multiple forms.

Student will use Dysc$ money to model numeration, number, decimal system relationships, and to perform operations (addition, multiplication, factoring, division, subtraction) to solve practical relevant problems in context.

Student will use Dysc$ money to model ideas and relationships represented as equations, addition and multiplication facts, digits, and metric and US unit conversions, across the SI decimal chart.

Student will use Dysc$ money to model properties, rules, order of operations, and algebraic principles.

Student will consistently solve algebra problems using digital tools: Goegebra, Algebra Touch, DragonBox Algebra, MathWay, PhotoMath, OneNote, and MathType Extension in Google Docs.

Student will demonstrate expedient access to math references for concept illustrations, demonstrations, and interactive tools, using MathAntics, and MathIsFun.

Using canonical number patterns and kinesthetic strategies, student will fluently mentally combine, subtract, divide, multiply, and will retain the result long enough to communicate it in speech or writing.

Student will demonstrate the fluid ability to reason about and figure with fractions, percents, tips, taxes, discounts.

Student will demonstrate math language fluency by efficiently expressing any number in a variety of ways: Unit identification, Spoken Words, Written Words, Standard Notation, Scientific Notation, Prime Factorization, International System Prefix (SI), SI Symbol, Model with Dysc$ Money, Expanded Notation, Equivalents (Unit Conversions), Equation, Algebra, Fraction, Mixed Number, Decimal, and Percentage.

Student will explain 3 historical facts about mathematics in context, with impact on culture, science, and philosophy.

Student will always explain the context, practical utility, and personal relevance of math concepts.

Student will explicitly and consistently demonstrate and employ visual references (maps, diagrams, illustrations), graphs) to contextualize information about location, position, direction, action, distance, and to make predictions.

Student will consistently utilize visual resources (ex. maps) to establish context and to annotate, establish the facts, orient to the situation, and determine how to problem-solve.

Student will explain the naming logic for each period (section) of the full decimal place value area covered by the International System SI (metric system).

Student will be able to fluently create and label the 19 periods (main sections) on the SI decimal place value chart, and will include rows containing the period and column word labels, powers of 10, prime factorization, SI prefix, other common prefixes, SI symbol, number, and a word that exemplifies the place value location (ex. megawatt, nanogram).

Student will demonstrate the functional use of math affixes, symbols, vocabulary, syntax, and decimal system encoding (numeration, place value, the International System Prefixes and SI symbols, equations, graphical representations, and basic decimal system patterns.

Student will demonstrate the ability to fluidly use the SI Decimal Place Value Chart to convert metric units between the maximum and minimum values represented in the 53 columns ,or value places, covered by the International System.

Student will always concretely

*experience and demonstrate*math concepts with Dysc$, chart, or other means.Student will first experience concepts and prove truths concretely, while describing with appropriate language, before representing ideas mathematically (symbolic expression becomes intrinsically associated with the ideas represented, and "rules and procedures" are logical extensions of demonstrations).

Students will immediately teach or share a mastered idea with others, >three times (with talk of context, relevance, concrete demonstrations, symbols, written language, and illustrations).

Student will demonstrate mastery of the language of mathematics in spoken and written forms by successfully decoding, interpreting, reasoning, evaluating, translating, and communicating (encoding in speech, concrete active demonstrations, illustrations, and written forms) quantitative information randomly accessed from a variety of domains (science, news, travel, finance, statistics, civics, business, trades, culture, etc.)

Student will confidently interpret numbers between 10^26 to 10^-26 culled from the news.

Students will perform metric unit conversions without arithmetic using the Full SI Decimal Chart.

Students will solve math problems using verbal reasoning without manual computation (ex."The famous

*centenarian lived just 2 years after*her milestone. She lived to be*102*.").Students will confidently and competently perform activities of daily living: handling cash, banking, shopping (discounts, sales tax, rebates, tips, insurance, warranties, cost of ownership, incentives, interest, closing costs, penalties, points, bonuses, tax write-offs, investments, stock trading, savings, and taxes - sales, property, income, luxury, probate, estate, inheritance, and capital gains).

Students will demonstrate financial literacy and critical thinking with adequate interpretation, research, comparison, consideration of multiple variables, and intelligent decision-making on these scenarios: marriage-work-childcare; housing; transportation; savings for education, retirement, investment, emergencies, gifts, charity, investments, business, major expenses; family budget; and starting a business.

Student will perform bookkeeping functions, budgeting, and accounting, for an individual, family, and small business.

Student will solve practical geometrical problems involving: building planning, measuring, calculating, estimating, purchasing, installation, systems (flooring, wall coverings, floor coverings, roofing, plumbing, electrical, tile, heating and cooling, storage, appliance capacity and load, furnishings, landscaping, driveways, sidewalks, steps, doors, windows, insulation, lighting, security, communication and security systems, and the use of tools to perform work.

Student will solve healthcare problems involving consideration of multiple variables: medication dosing and dosing calculations and conversions based on age and weight; ideal vs dangerous health metrics (blood pressure, weight, heart rate, oxygen level, BMI, blood sugar); obtaining health insurance coverage for an individual and a family; managing healthcare (premiums, disease, accidents, illness, preventative care, prescriptions, planning for expenses, copays, deductibles, out-of-pocket expenses, reimbursements, health spending accounts, matching, incentives, penalties, elective vs necessary care, experimental vs standard care).

Student will competently interpret statistics and communicate using statistics on current events: pandemic reporting, measures of intelligence, brain function, and academic achievement.

Student will competently solve a variety of occupational problems involving research, documentation, and consideration of multiple variables: cost of education and training, cost of living, compensation and related benefit and expense scenarios, taxes, fees, aid, debt, and budgeting.

Student will competently solve a variety of functional problems involving needs assessment, research, documentation, and consideration of multiple variables: cost of obtaining transportation and attendant costs, (down payment, interest, lease, fees, mileage, insurance, tax incentives, rebates, credit costs, taxation, licensing, registration, traffic infractions, credit rating, and cost-benefit analysis.

Student will plan and demonstrate behavior that results in building a favorable credit rating, and will explain the components of credit ratings, and qualitative and quantitative consequences of rating classifications.

Student will document intelligent shopping for common communication and productivity equipment and services: cell phones and mobile plans; internet; infotainment; software and apps; computers; televisions; security systems; GPS and navigation; smart home systems.