### Math Explorers I - Semester I

**Description**

Math Explorers I - first semester ranges 16 weeks which covers the problem solving strategies, Metric System, Decimals, Fraction, Perimeters, Areas and Volumes. This course covers over several problems ranging from introductory level exercises to very challenging word problems, to reinforce the lessons learned.

**Class Outline**

Lesson 1: Problem Solving - Charts and Diagrams

Lesson 2: Problem Solving - Think 1, Venn Diagrams

Lesson 3: Problem Solving – Patterns, Sequences and Function Machines

Lesson 4: Problem Solving –Algebra

Lesson 5: Metric System – Lengths and Temperatures

Lesson 6: Metric System –Volume and Weights

Lesson 6: Decimals – Additions and Subtractions

Lesson 7: Decimals – Multiplication and Division

Lesson 8: Exam

Lesson9: Fractions – Additions and Subtractions

Lesson 10: Fractions – Improper, Mixed Numbers, Reducing Fractions

Lesson 11: Fractions – Multiplication, Cross Reducing and Dividing Fractions

Lesson12: Perimeters and Circumference

Lesson13: Areas - Triangles

Lesson 14: Areas – Squares, Rectangles and Word Problems

Lesson 15: Volumes

Lesson 16:Exam

### Math Explorers I - Semester II

**Description**

Math Explorers I - second semester ranges 16 weeks which covers the fundamentals of Percentages, Ratios, Proportions, Basics of Counting, Probability, Data Statistics along with a taste of Rate problems and Base Number Conversions. During the course there will be two exams to reinforce the concepts learned.

**Class Outline**

Lesson 1: Percentages -Changing a Percentage to a Decimal and Decimal to Percent

Lesson 2: Percentages – Changing Percentage to Fractions

Lesson 3: Percentages–Applications

Lesson 4: Ratios – Ratio and Scale

Lesson 5: Proportions

Lesson 6: Counting – Lists of Numbers, Addition and Subtraction (AOPS)

Lesson 7: Counting Multiple Events - Permutations

Lesson 8: Exam

Lesson 9: Probability - Basics

Lesson 10: Probability – Addition and Multiplication

Lesson 11: Probability – Complementary and Expected Value

Lesson 12: Statistics – Data, Mean, Median and Mode

Lesson 13: Statistics – Relative Frequency, Predicting by Samples

Lesson 14: Distance, Speed and Time

Lesson 15: Bases – Changing bases from 10 to different bases like 2, 5 and 8

Lesson 16: Exam

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