# Epsilon

In this level, students will master multiple digit additions, subtractions

and multiplications. They will learn single-digit long division. Students

will understand what fractions are all about, and will be solving various

problems with fractions using equivalent fractions.

Students will become very comfortable solving problems involving

operations with time/calendar and measurement. They will be able to

solve linear equations, after converting a sentence into the equation. They

will learn about angles, types of triangles, solids, and various other

geometry concepts. They will learn how to measure angles and also to draw

using the compass.

In Epsilon, we will introduce the students to solving problems using boxes,

which later will evolve into algebra. We will be introducing them to proportions

and divisibility rules.

Most mathematical concepts have already been worked on in previous levels, but the word problems

and applicatons of these concepts will be in a lot more depth, where the student will

be able to really nail down these concepts.

They will solve more than 500 problems from Continental Math/Math Olympiads.

### Operations

Master single digit multiplications/divisions.

Goal: 100 single digit operations in 3 mins.

Master multiple digit by single digit multiplication horizontally.

Multiple digit by multiple digit multiplication technique.

One-digit long division.

Multiplication/Division by numbers followed by zeros.

Practice multiple digit additions/subtractions.

### Time

Read time on an analog clock.

Operations with times, add/subtract hours and minutes from a given time.

### Time/Calendar

Review number of days in every month, difference between leap and non-leap years.

Review military time, and do all sorts of problems involving operations with time/days.

### Money

By this level it is well understood the different money relationships.

Solve in depth problems that involve money.

### Numbers

Divisibility rules.

Prime numbers.

Find the number of numbers in a consecutive sequence of numbers.

Write numbers up to billions given the sentence.

Round to thousands, millions, ten millions etc.

Place value up to billions.

### Measurement

Review length, weight and temperature.

Work with volume.

Solve a variety of problems involving operations/conversions of measurement quantities.

### Geometry

Basic concepts about line segments, lines and polygons.

Different polygon shapes.

Perimeter and Area of square and rectangle.

Types of angles, and learn to measure them.

Types of triangles and properties of them.

Propeties on angles in a rectangle and traignle, solve various problems to absorb these concepts.

### Algebra

Write the linear equation given a sentence.

Given a linear equation group variables and solve.

### Fractions

Write the fractions given a shaded figure.

Reduce fractions to simplest form.

Proper vs Improper fractions.

Place fractions on the real line

Convert an improper fraction into a mixed number.

### 500+ Word Problems

Problems that involve multiple steps of

additions/subtractions/multiplications/divisions.

Problems involving time/calendar or money.

Problems that require operations with measurement.

Problems that use properties of numbers and/or place

value.

Problems to solve using the box method.

Problems involving divisibility concepts.

Solve problems involving fractions and the notion of equivalent fractions

by drawing the fractions.