Foundational Mathematics for Problem Solving — PickAClass
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⏱ 3h 6m 📚 31 lessons 🎧 Audio version

Foundational Mathematics for Problem Solving

Develop a strong understanding of fundamental mathematical concepts and gain confidence in solving a wide range of problems.

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About this course

Do you find mathematical concepts daunting or struggle with problem-solving? Building a solid foundation in mathematics is crucial for academic success, career advancement, and everyday logical thinking. This course is designed to empower you with the essential mathematical skills needed to approach challenges with clarity and confidence. By the end of this course, you will possess a comprehensive grasp of core mathematical principles, enabling you to confidently analyze information, solve diverse problems, and apply logical reasoning in practical contexts. What you'll learn: * Understand fundamental arithmetic operations, number systems, and their properties * Master algebraic concepts, including expressions, equations, inequalities, and functions * Learn essential geometric principles, shapes, measurements, and spatial reasoning * Develop logical and analytical skills for effective mathematical problem-solving * Apply mathematical concepts to interpret basic data and understand statistical measures * Practice solving diverse mathematical problems through structured exercises The course starts with foundational arithmetic and number theory, progressing through algebraic techniques, geometric principles, and an introduction to data interpretation. Each section builds upon previous knowledge, reinforcing understanding with practical examples and guided practice opportunities. This course is designed for absolute beginners in mathematics or anyone looking to refresh and solidify their foundational mathematical understanding. No prior mathematical knowledge is required. Begin your journey to mathematical confidence and competence today.

Course contents

6 modules · 31 lessons · 3h 6m

1 Numbers and Arithmetic Foundations
Master the basic building blocks of mathematics and arithmetic operations. 6 lessons · 36 min
  1. The World of Numbers
    Understanding different number systems like integers, decimals, and their roles.    6 min
  2. Fractions and Percentages
    Learning how to work with parts of a whole in different formats.    6 min
  3. Addition and Subtraction Mastery
    Perfecting the foundational operations for combining and removing quantities.    6 min
  4. Multiplication and Division Mastery
    Understanding scaling and sharing through multiplication and division.    6 min
  5. The Order of Operations
    Using PEMDAS/BODMAS to solve complex arithmetic strings correctly.    6 min
  6. Arithmetic in Daily Life
    Applying basic math to common scenarios like shopping or budgeting.    6 min
2 Number Theory and Properties
Explore how numbers behave and the rules that govern them. 5 lessons · 30 min
  1. Factors and Multiples
    Breaking numbers down into their components and finding common ground.    6 min
  2. The Power of Prime Numbers
    Identifying primes and using prime factorization to understand number structure.    6 min
  3. Commutative and Associative Rules
    Learning why the order of numbers matters in some operations but not others.    6 min
  4. The Distributive Property
    Mastering the technique of spreading a multiplier across a sum.    6 min
  5. Identity and Inverse Elements
    Understanding the roles of zero and one in mathematical operations.    6 min
3 Algebraic Thinking
Transition from concrete numbers to abstract variables and equations. 6 lessons · 36 min
  1. Variables and Expressions
    Using letters to represent unknown numbers in mathematical phrases.    6 min
  2. Simplifying Expressions
    Combining like terms to make algebraic expressions easier to manage.    6 min
  3. Solving One-Step Equations
    Finding the value of a variable using basic inverse operations.    6 min
  4. Solving Multi-Step Equations
    Applying a sequence of steps to isolate a variable in complex equations.    6 min
  5. Understanding Inequalities
    Solving and graphing mathematical statements that use 'greater than' or 'less than'.    6 min
  6. Introduction to Functions
    Understanding the relationship between inputs and outputs in math.    6 min
4 Geometry and Spatial Reasoning
Understand shapes, their properties, and how they occupy space. 5 lessons · 30 min
  1. Points, Lines, and Angles
    Learning the basic vocabulary and concepts of geometric construction.    6 min
  2. 2D Shapes: Perimeter and Area
    Calculating the boundaries and surfaces of flat shapes like rectangles and circles.    6 min
  3. 3D Shapes: Surface Area and Volume
    Measuring the space inside and outside of solid objects.    6 min
  4. Spatial Reasoning Skills
    Developing the ability to visualize and manipulate objects in your mind.    6 min
  5. Geometry in the Real World
    Using geometric principles to solve practical problems like home layout.    6 min
5 Data Interpretation and Statistics
Learn to read, interpret, and summarize numerical information. 5 lessons · 30 min
  1. Reading Tables and Bar Charts
    Extracting meaningful information from simple data visualizations.    6 min
  2. Interpreting Pie and Line Graphs
    Understanding trends and proportions through graphical data.    6 min
  3. The Big Three: Mean, Median, Mode
    Calculating different types of averages to describe a dataset.    6 min
  4. Range and Data Spread
    Measuring how much data varies from the average.    6 min
  5. Logical Reasoning with Data
    Using statistical facts to draw sound conclusions and avoid fallacies.    6 min
6 Problem-Solving Mastery
Synthesize all skills to tackle complex, multi-step challenges. 4 lessons · 24 min
  1. The 4-Step Problem Solving Process
    A structured framework for approaching any mathematical challenge.    6 min
  2. Analytical Thinking Techniques
    Breaking down large problems into smaller, manageable pieces.    6 min
  3. Translating Words to Math
    Converting real-world word problems into solvable mathematical equations.    6 min
  4. Comprehensive Practice Session
    Applying all course concepts to a diverse set of final exercises.    6 min
Final project

The Personal Finance & Space Planner

You will create a comprehensive plan for a small business launch. This includes calculating startup costs (arithmetic), determining price points (algebra), designing a floor plan (geometry), and analyzing local market trends (statistics).

What you'll get

  • 📜 Certificate of completion
    Add it to your LinkedIn profile
  • 💬 Personal AI tutor
    Stuck on a lesson? Ask your built-in tutor anything, any time.
  • 🎧 Audio version included
    Learn on the go — no screen needed
  • ♾️ Lifetime access
    Come back anytime, no expiry
  • 📱 Phone or computer
    Works anywhere, any device
  • 💸 14-day refund
    No questions asked
  • ⚡ Short & focused
    3h 6m of practical content

Certificate of completion

Every course you complete on PickAClass issues a credential like this — original, with its own code, verifiable by URL, and detailed about what was actually demonstrated.

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PickAClass
Skills profile · verifiable
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Certificate of Mastery
This certifies that
Name Surname
has successfully demonstrated mastery of
Foundational Mathematics for Problem Solving
Skills demonstrated
✓
Behavioral pattern analysis
Foundational
1.2 hrs
✓
Decision-architecture frameworks
Proficient
1.4 hrs
✓
A/B test design
Proficient
1.7 hrs
✓
Behavioral copywriting
Advanced
1.9 hrs
P
PickAClass — Name Surname
Foundational Mathematics for Problem Solving
Page 2 of 2
Performance detail
Coursework summary
Lessons completed 14 / 14
Practice questions 26 / 28
Assignments submitted 4 (avg 4.5 / 5)
Capstone project Reviewed — 4.6 / 5
Total practice 6.2 hrs
Performance benchmark
Cohort rank Top 12% of 1,625
Time to completion 11 days (median: 22)
Mastery score 91 / 100
Practice-question score 94%
Skill verification Verified Skill Path
Verify this credential
pickaclass.com/certificates/PCC-2026-X4F7-AP19
Issued under the academic standards of PickAClass. Skill levels reflect assessed performance against the course's competency rubric. This is an original credential of this platform.

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Frequently asked

What do I need to take this course? +

Just a phone or computer with internet. No installs, no special hardware.

How do I pay? +

By card via Stripe. We don’t store card details — Stripe handles them securely.

Can I get a refund? +

Yes — full refund within 14 days, no questions asked.

How long will I have access? +

Forever. Once you purchase, the course is yours to revisit anytime.

Will I get a certificate? +

Yes. On completion you'll receive a certificate you can add to your LinkedIn profile.

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