Table of Contents and a brief description of the topics
UNIT 1: WHOLE NUMBERS
Lesson 1. Making use of basic multiplication table facts, to do multiplication problems with
two and three digits. The distributive property
$$(a+b)\times c=a\times c+b\times c$$
Lesson 2. Dividing a 4-digit number by a 1-digit number, then moving to division by 2-digit numbers.
Lesson 3. Numerical Expressions and Order of Operations: The mathematical operations
+, -, x, and : must be done in a certain order when doing calculations like 12-8:2.
Lesson 4. Properties of Operations: Changing the order of terms when adding, or factors
when multiplying, will not change the result, but it will if we are subtracting or dividing.
Other properties of the real number system
Lesson 5. Divisibility Principles: How to determine if a number is divisible by another.
Divisible by 5 if it ends in 0 or 5, divisible by 9 if the sum of its digits is divisible by 9. 351 is
divisible by 9 because 3 + 5 + 1 = 9.
Lesson 6. Prime Numbers and Prime Factorization: A number is prime if it is a natural
number greater than 1 whose only factors are itself and one. 5, 7, 23 are prime numbers.
Fundamental Principle of Arithmetic and Factor Trees – every composite number can be
uniquely expressed as the product of primes, e.g. 
Lesson 7. The Greatest Common Factor (GCF) and the Least Common Multiple (LCM):
Factors of 8: 1, 2, 4 and 8. Factors of 12: 1, 2, 3, 4, 6 and 12. The GCF of two or more
numbers is useful in real life applications. In this case it’s 2. Similarly, for LCM.
Lesson 8. Whole Number Review
UNIT 2. FRACTIONS
Lesson 9. Introduction to fractions: Basic concept of fraction as part of a whole; dividing
the whole into equal parts. Picture representations
Lesson 10. Equivalent fractions. Simplifying fractions: the fractions 3/6 and ½ are
equivalent. ½ is a simpler form than 3/6.
UNIT 3: GEOMETRY
Lesson 11. A point, a line, a ray, a line segment, an angle: Learning the basic parts of
geometric figures.
Lesson 12. Measuring angles. Special angles: complementary (sum to 90º), supplementary
(sum to 180º) right angles (90º)
Lesson 13. Properties of a triangle: Sum of angles is 180º, relationship between angles and
sides. Triangle inequality: Sum of lengths of any 2 sides is larger than the 3rd side.
Lesson 14. Triangles Part II: Classifying triangles by side length (equilateral, isosceles,
scalene) and by angles (right, acute, obtuse.) How to determine which one it is.
