Post on 05-Feb-2022
IM 8 Ch4 Closure
CPM Materials modified by Mr. Deyo
The activities here offer you a chance to reflect about what you have learned during this chapter.
As you work, look for concepts that you feel very comfortable with, ideas that you would like to learn more about, and topics you need more help with.
IM 8 Ch4 Closure
By the end of the period, I will apply different problem‑solving strategies and relect on what I have learned in this chapter.
I will demonstrate this by completing Four‑Square notes and by solving problems in a pair/group activity.
Learning TargetTitle: IM8 ‑ Ch. 4 Closure ‑ What Have I Learned? Date:
IM 8 Ch4 Closure
Home Work: Ch. 4 ClosureDesc. Date Due
What Have I Learned?
10 Problems CL 4‑72 through 4‑81
IM 8 Ch4 Closure
Chapter 4 Vocabulary Reviewgraph
growth factor
parabola
parameter
rule
solution
tile pattern
variable
x → y table
yintercept
IM 8 Ch4 Closure
SUMMARIZING MY UNDERSTANDING
Team Representations PosterYour Task:• This section gives you an opportunity to show your
understanding of how to move between the different representations of a pattern (situation, table, graph, and rule), which is the main idea of this chapter.
• In this chapter, you have learned how to move directly from one representation to another. Now you have an opportunity to demonstrate what you know about these concepts. Today you and your team will create a poster that illustrates the skills and knowledge that you have developed in this area.
• Make Connections: Work with your team to find or create problems that demonstrate all of the connections between the different representations shown in the Representations of Patterns Web.
IM 8 Ch4 Closure
SUMMARIZING MY UNDERSTANDING
Team Representations PosterYour Task:Along with the solutions to each of your problems, you will need to explain the process involved. To give an example for every connection on the web, you will need one of each of the following:
graph → table graph → pattern graph → ruletable → graph table → pattern table → rulepattern → graph pattern → table pattern → rulerule → graph rule → table rule → pattern
Team Poster: Follow the model above to label and construct the sections of your poster from the pieces that your team has created. Decide together on a creative title for your poster.
IM 8 Ch4 Closure
472
What is the rule?y = (___)x + (___)
Input (x) Output (y)
What is the growth pattern?
Predict how many tiles Figure 100 will have.
Draw the 4th figure.Draw the 0 figure.
IM 8 Ch4 Closure
CL 473
Are the two expressions below equal? Show how you know.
4x2 + 2x − 5 − 3x 6x2 − x + 3 − 2x2 − 8
IM 8 Ch4 Closure
474 Examine the completed graph. Give two ways you can tell that the rule y = 2x − 3 does not match the graph.
What is the rule? y = ( )x + ( )
Make a graph that matches the ruleCompleted Graphy = 2x − 3
1)
2)
IM 8 Ch4 Closure
CL 475
How many tiles are in Figure 0? Which figure has 37 tiles?
In the equation y = mx + b, what do the letters m and b represent?
Consider the rule: y = 5x + 7
IM 8 Ch4 Closure
CL 476
Molly read 75 pages of the latest thriller mystery novel in 45 minutes. What is her unit rate?
Hint: Make a proportion. Then, "butterfly crossmultiply" to solve for the unknown.
At the same rate, how long will it take her to read the entire 425page novel?
IM 8 Ch4 Closure
477
Explanation
• Distributive Property• Combine Like Terms• Additive Inverse• Multiplicative InverseSolve for the variable. Record
your work & check the solution.
2 (3x 4) = 2x 9
IM 8 Ch4 Closure
CL 478 a,b,e
Simplify and Evaluate
a) Simplify the expression. e) Then evaluate the result of part (a) and (b) if x = 5 and y = 2x + 4x − 3 + 3x2 − 2x
b) Simplify the expression.2x + 4y2 − 6y2 − 9 − x + 3x
IM 8 Ch4 Closure
CL 478 c,d
Simplify
c) Simplify the expression.3x2 + 10y − 2y2 + 4x −14
d) Simplify the expression.
20 + 3xy − 4xy + y2 + 10 − y2
IM 8 Ch4 Closure
CL 479. For the x → y table below, fill in the missing values and find the rule.
What is the yintercept?
What is the pattern of growth?
Find the rule for this line.
If the output number (y) is −52, what was the input number (x)?
IM 8 Ch4 Closure
CL 480
Define a variable and then write and solve an equation for the problem below. Use the 5D Process, if needed. Show your work in an organized way and state your solution in a sentence.
For the school play, the advance tickets cost $3, while tickets at the door cost $5. Thirty more tickets were sold at door than in advance, and $2630 was collected. How many of each kind of ticket were sold? Write your answer in a sentence.
IM 8 Ch4 Closure
CL 481a For each of the previous problems (CL472 to CL480), do the following:
Color or shade in a portion of the bar that represents your level of understanding and comfort with completing that problem on your own.
CL 472CL 473CL 474CL 475CL 476
CL 478CL 477
CL 479CL 480
IM 8 Ch4 Closure
CL 481b If any of your bars are less than a 5, choose one of those problems and complete one of the following tasks:
Which problem did you choose? CL 4____
Write two questions that you would like to ask about that problem.1)
2)
Brainstorm two things that you DO know about that type of problem.1)
2)
?
?
IM 8 Ch4 Closure
CL 481c If any of your bars are 5 or above, choose one of those problems and do one of these tasks:
Which problem did you choose? CL 4____
Write two questions you might ask or hints you might give to a student who was stuck on the problem.1)
2)
Make a new problem that is similar and more challenging than that problem and solve it.
?
?
IM 8 Ch4 Closure
WHAT TOOLS CAN I USE?You have several tools and references available to help support your learning – your teacher, your study team, your math book, and your Toolkit, to name only a few. At the end of each chapter you will have an opportunity to review your Toolkit for completeness as well as to revise or update it to better reflect your current understanding of big ideas.
The main elements of your Toolkit should be your Learning Logs, Math Notes, and the vocabulary used in this chapter. Math words that are new to this chapter appear in bold in the text. Refer to the lists provided below and follow your teacher’s instructions to revise your Toolkit, which will help make it a useful reference for you as you complete this chapter and prepare to begin the next one.Learning Log Entries
Lesson 4.1.2 – Representations of Patterns WebLesson 4.1.3 – Connecting Linear Rules and GraphsLesson 4.1.4 – y = mx + bLesson 4.1.6 – Graphing Without an x→y Table
Math Notes
Lesson 4.1.7 – Representations of Patterns Web
IM 8 Ch4 Closure
Chapter 4 Vocabulary Reviewgraph
growth factor
parabola
parameter
rule
solution
tile pattern
variable
x → y table
yintercept
IM 8 Ch4 Closure
Chapter 3 Vocabulary ReviewCombining Like Terms
Continuous Graph
Dependent Variable
Discrete
Distributive Property
Evaluate
Independent Variable
Order of Operations
Parabola
Solution
Term
Variable
Vertex
xintercepts
yintercepts
IM 8 Ch4 Closure
Chapter 2 Vocabulary ReviewAdditive Identity
Additive Inverse
Associative Property
Combining Like Terms
Commutative Property
Equation
Evaluate
Expression
Multiplicative Identity
Order of Operations
Term
Variable