Download Math 10 Chapter 3 - hrsbstaff.ednet.ns.ca

Math 10 Chapter 3
Textbook
Section
3.1:
Multiples
and Factors
Key Terms
Questions
Factors
Easy (level 1 and 2)
Multiples
GCF
1. Find the prime factors of a number.
2. Find the GCF and LCM of 2 or 3 numbers.
3. Simplify fractions (GCF)
LCM
Harder (level 2 and 3)
Prime
4. Add or subtract fractions (use LCM)
5. Word problems (hint: Look for words like smallest, least, minimum for LCM. Look
for words like greatest, largest, maximum for GCF.)
What have we done
Notes handout (3.1)
Quiz 1
HW Probe 1
3.2: Perfect
Squares,
Perfect
Cubes, and
Their Roots
Perfect Square
Journal: Graphical
Organizer
Assignment
Easy
Notes handout (3.2)
Perfect Cube
Cube Root
1.
2.
3.
4.
5.
Use prime factorization to find the square root (2 equal groupings)
Use prime factorization to find the cube root (3 equal groupings)
Determine if a number is a perfect square or cube using above methods.
Determine the side length of a square (same as 1).
Determine the side length of a cube (same as 2).
Quiz 1
Journal: Graphical
Organizer
Assignment
Hard
6. Finding square and cube roots with variables (x, y, etc).
3.3:
Common
Factors of a
Polynomial
Factoring
Easy
Notes handout (3.3)
Expanding
1. Use algebra tiles to write the polynomial (area)
2. GCF of polynomials – factoring
Ex: Factor 3x + 3 = 3(x + 1)
HW Probe 3.3
Polynomial
Monomial
Binomial
Trinomial
3.
4.
5.
6.
Use Algebra tiles to factor out GCF (create equal groupings)
Expanding with algebra tiles
Area diagram
Expanding using distributive property to check a factoring solution
Assignment
Ex: To check 3(x + 1) use distributive property to get 3x + 3.
Distributive
property
Hard:
6. Factoring with variables for things like fractions and formula (page 156 Q17 and 18)
3.4:
Modelling
Trinomials
as Binomial
Products
1. Using algebra tiles to factor trinomials (make into rectangles)
Side lengths = factor
Area = polynomial
3.5:
Polynomial
Polynomials
of the form Binomial
x2 + bx + c
Expanding
Distributive
property
Factoring
Area diagram
3.6:
Polynomial
Polynomials
of the form Binomial
ax2 + bx +
c
Expanding
Distributive
property
Factoring
3.7:
Polynomial
Journal: Math Lab
HW Probe: 3.4
Easy:
Notes Handout 3.5
1. Expand a pair of binomials using distributive property (FOIL) or area diagram or
algebra tile diagram
2. Factor a trinomial with a = 1
3. Check your factoring using expanding
Assignment
Harder
1. Rearrange the polynomial and then factor
2. Knowing when something can`t be factored
3. Find the GCF first and then factor
Easy:
Notes Handout 3.6
1. Use algebra tiles to expand and find the product (area)
2. Factor using algebra tiles (form a rectangle)
3. Check your factoring by expanding
Assignment
Harder:
1. Using decomposition to factor
2. Rearrange first or find GCF first and then use decomposition to factor
3. Knowing when something can`t be factored
Easy:
Notes (handwritten
Multiplying
Polynomials Expanding
Simplifying
Collect like
terms
Distributive
property
not handout)
1. Expand and simplify binomials and trinomials
2. Expand and simplify with more than one variable
3. Squaring a binomial
HW Probe
Harder:
1. Expanding pairs of binomials and then adding them
Ex: (3y -2)(3-7y) + (2+x)2
2. 2. Expanding pairs of binomials and then adding them
Ex: (3y -2)(3-7y) + (2+x)2
3. Finding volumes and surface areas (p. 187 questions 16, 17)
4. Multiplying 3 binomials together (p. 187 question 18, 19, 21)
3.8:
Factor
Factoring
Special
Decomposition
Polynomials
Perfect Squares
Easy:
1. factoring perfect square trinomials
2. Factoring difference of perfect squares
Harder:
Difference
(subtract)
Trinomial
3. Factoring using decomposition with more than one variable
Notes (handwritten)