Download Lesson 3 Assignment - Rocky View Schools Moodle 2

Mathematics 10C: Module 3
1
Assignment
MODULE 3 ASSIGNMENT
Lesson 3 Assignment
Math Lab: Exploring Factoring with Algebra Tiles
Materials
Use the algebra tiles (e.g., borrowed set, template, or interactive) that you have been using for
Lessons 1 and 2.
Procedure
Follow these steps for each polynomial given.
Step 1: Select the algebra tiles that correspond to each term. For example, for the polynomial 2x + 4,
you would select two x-tiles and four 1-tiles.
Step 2: Arrange the tiles into the shape of a rectangle. Use all of the tiles. Remember that a tile can
only be placed if its sides are adjacent to other sides of equal length.
Step 3: Sketch (or use a screen capture tool, if using interactive tiles) to show what your rectangle
looks like. If you sketch your rectangle, you may save the sketches in your course folder and submit
them to your teacher along with this Lesson 3 Assignment. Or, you may scan and insert the sketches
into this document.
Step 4: Record the length and width of each rectangle.
Step 5: See if you can use the same algebra tiles to create a rectangle of different dimensions. If so,
repeat steps 2 to 4 for the new rectangle.
Analysis
1. Complete a sketch or add a screen capture for each of the following. Provide the length and width.
a. 2x + 4
Sketch:
Mathematics 10C: Module 3
Length:
Width:
b. 3x2 + 3x
Sketch:
Length:
Width:
c. x2 + 6x + 8
Sketch:
Length:
Width:
d. x2 – 5x + 6
Sketch:
Length:
Width:
2
Assignment
Mathematics 10C: Module 3
3
Assignment
2. How do the dimensions of the rectangle relate to the area of the rectangle?
Answer:
3. How does the procedure in this Math Lab contrast with the procedure in the Discover activity in
Lesson 1?
Answer:
4. Answer the following for each of the trinomials in parts 1.c. and 1.d.
a. How is the first term of the trinomial related to the first terms in the length and width?
Answer:
b. How is the coefficient of the middle term in the trinomial related to the second terms of the
length and width?
Answer:
c. How is the last term of the trinomial related to the second terms of the length and width?
Answer:
Once you have completed Math Lab: Exploring Factoring with Algebra Tiles, save the Lesson 3
Assignment to your course folder. You will return to the Lesson 3 Assignment later in this lesson.
Try This
You must complete TT 1. The question that you answer will depend on which textbook you are using.
Math 10 (McGraw-Hill Ryerson)
TT 1. Complete “Check Your Understanding” questions 4.a), 4.c), 4.d), 5, 10, and 16 on pages 220
to 223.
OR
Foundations and Pre-calculus Mathematics 10 (Pearson)
Mathematics 10C: Module 3
4
Assignment
TT 1. Complete “Exercises” questions 4.a), 4.b), 8.a), 8.c), 10.b), 10.d), 10.f), 16.b), 16.d), 16.f), and 17
on pages 155 and 156.
Answer:
Once you have completed TT 1, save the Lesson 3 Assignment to your course folder. You will return to
the Lesson 3 Assignment later in this lesson.
Try This
TT 2. Complete the first four rows of the table.
p
q
1
2
3
4
5
–1
2
–4
p+q
p×q
(x + p)(x + q) =
TT 3. Compare the numbers in the third column with the coefficients of the x-terms in the final column.
What do you notice?
Answer:
TT 4. Compare the numbers in the fourth column with the constants in the final column. What do you
notice?
Answer:
Once you have completed TT 2, TT 3, and TT 4, save the Lesson 3 Assignment to your course folder.
You will return to the Lesson 3 Assignment later in this lesson.
Try This
You must complete TT 5. The question that you answer will depend on which textbook you are using.
Math 10 (McGraw-Hill Ryerson)
TT 5. Complete “Check Your Understanding” questions 1 and 5 on page 234.
Mathematics 10C: Module 3
5
Assignment
OR
Foundations and Pre-calculus Mathematics 10 (Pearson)
TT 5. Complete “Exercises” questions 4, 14.a), 14.c), 14.e), 14.g), 15.d), 21.b), 21.d), and 21.f) on
pages 166 and 167.
Answer:
Once you have completed TT 5, save the Lesson 3 Assignment to your course folder. You will return to
the Lesson 3 Assignment later in this lesson.
Try This
You must complete TT 6. The question that you answer will depend on which textbook you are using.
Math 10 (McGraw-Hill Ryerson)
TT 6. Complete “Check Your Understanding” question 12 on page 222.
OR
Foundations and Pre-calculus Mathematics 10 (Pearson)
TT 6.
a. Complete “Exercises” question 12 on page 155.
b. Compete “Review” question 14 on page 199.
Answer:
Once you have completed TT 6, save the Lesson 3 Assignment to your course folder. You will return to
the Lesson 3 Assignment later in this lesson.
Reflect and Connect
Complete the “Factoring Strategies” document that you opened in the lesson and saved to your course
folder. In the chart, record what you have learned about the methods used in this lesson. You should
include the following:
 the strategy name
 notes about what type of polynomial this strategy is used to factor
 at least one worked example showing how the strategy is used
Mathematics 10C: Module 3
6
Assignment
 any tips, reminders, or exceptions to the rule that help you to use this strategy properly
Save your updated “Factoring Strategies” document to your course folder. You will refer to it again in
Lesson 4 and in Lesson 5. You will not submit it to your teacher at this time.
Once you have completed Reflect and Connect, save the Lesson 3 Assignment to your course folder.
You will also submit the Lesson 3 Assignment to your teacher for marks.