The document discusses introducing participants through song, factors of trinomials, and language practice terms related to polynomials like product, factor, exponent, expansion, expression, simplest form, perimeter, and area. It includes example problems like writing equations and factorizing trinomials to find missing values like an unknown number or ages based on given information. Vocabulary and concepts are reinforced through multiple practice activities and examples.

1. INTRODUCING
PARTICIPANTS
THROUGH SONG

2. HICKELTY
PICKLETY
BUMBLEBEE
WILL YOU SAY YOUR NAME FOR ME,
WHAT’S YOUR NAME
____________________
LET’S SAY IT….___________
LET’S WHISPER IT…_______
LET’S SING IT….__________
WE’RE SO GLAD YOU’RE HERE
YEAH! WE’RE SO GLAD YOU’RE HERE

3. FACTORS OF
TRINOMIALS

4. Activity 1
FACTORS & PRODUCTS
RECALL

5. Activity 2
SCRABBLED WORD

6. LESSON LANGUAGE
PRACTICE
The result of two or
more numbers when
multiplied together.

7. LESSON LANGUAGE
PRACTICE
Numbers or terms that
divide exactly into
another number or
expressions.

8. LESSON LANGUAGE
PRACTICE
A number that is
multiplied by
itself.

9. LESSON LANGUAGE
PRACTICE
Method to expand brackets, or
multiply out, involves multiplying every
term inside the bracket by the term on
the outside and then collecting like
terms with the aim of removing the set
of brackets.

10. LESSON LANGUAGE
PRACTICE
Finding what can be
multiplied to get a
given expression.

11. LESSON LANGUAGE
PRACTICE
Numbers, symbols
and operations
grouped together.

12. LESSON LANGUAGE
PRACTICE
An expression is in
simplest form when it
cannot be simplified
further.

13. LESSON LANGUAGE
PRACTICE
To show or
stand in place
of.

14. LESSON LANGUAGE
PRACTICE
The total length of a
boundary or the
distance around the
outside of a shape.

15. LESSON LANGUAGE
PRACTICE
The space enclosed
by the boundary of
a plane figure.

16. LESSON ACTIVITY 1
The square of a number
equals 16 times that number.
What is the number?

17. LESSON ACTIVITY 1
1.Write an equation to show the
information in the problem
2.Simplify the expression.
3.Solve the problem

18. LESSON ACTIVITY 2
The sum of the ages of a mother
and a daughter is 39. The mother is
3 years younger than the square of
the daughters’ age. How old is the
mother and the daughter?

19. LESSON ACTIVITY 2
1.Write an equation to show the information in the
problem
2.Form a trinomial using your expression from Q1.
3.Factorize to solve the problem
4.Why is one of the solution not useble?
5.What are the ages of the mother and daughter?

20. PROBLEMS WITH
POLYNOMIALS

21. SHORT REVIEW
1.Expand 3(2x + 5)
2.Factorize 24a-16a2
3.Expand and collect terms to simplify
3x(2x+7) + 6x(8-5x)
4.Factorize x2 + 7x + 6
5.Expand (3b – 5)2

22. LESSON ACTIVITY 1
Joe is planting a garden full of flowers for the
summer. He wants to plant carnations, roses, lilies
and violets. He has to have a field that is broken
up into different sections for each type of flower
to be planted as each flower has its own growing
needs. He is unsure how big a plot of land he will
be able to use. The plan of the field is shown
below.

23. LESSON ACTIVITY 1
carnations
roses
lilies
violets
x + 3 2x - 4
2x
+
4
2x
+
5
x
+
2
x
+
1

24. LESSON ACTIVITY 1
1.Write an equation to represent the south side
of the garden in its simplest form.
2.Write an expression to represent the
perimeter of the garden in its simplest form.
3.Why would this expression be useful for Joe?
4.Write the polynomial expression for the area
of the carnations plot?

25. LESSON ACTIVITY 1
1.Write an equation to show the perimeter
of the violets in its simplest form.
2.Write an expression for the area of the
whole garden in its simplest form.
3.Write the different expression for the
area of the whole garden.

26. 1.Write an equation to show the information in the
problem
2.Form a trinomial using your expression from Q1.
3.Factorize to solve the problem
4.Why is one of the solution not usable?
5.What are the ages of the mother and daughter?