**Patterning and Relationships**

__Day #1 Exploring Patterns - Homework two handout sheets__

RemindersReminders

**Today we started looking at Fibonacci Sequence, as an example of patterning and relationships.****Finding patterns is much like solving a mystery.****Be sure to use the clues in the question.****Check your answer by making sure the evidence backs up the answer you arrived at.**

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__Day #2 Patterns Rules from Models__p.129 #3-7__Reminders__

**A variable is a letter that represents a number. We often use "x" or "n" as the letters, but can use any letters.****a) Models/ Manipulatives: To help visualize what a pattern looks like it may be helpful to use concrete materials to represent the pattern. Common materials used to design a pattern would include things like stir sticks, blocks and straws.****Variable: A letter or symbol such as a, b or n, that represents a number that changes in an algebraic expression.****Constant: A number in an algebraic expression that is fixed (stays the same). It is either added or subtracted within an algebraic equation. In order to find constant we must find the "zero" term (see below).****Multiplier: The number in an algebraic expression that is the difference between adjacent terms.****Algebraic Rule/Expression: A math sentence that contains one or more numbers, one or more variables, and one or more arithmetic operations. In the sentence, 5a + 3, the letter a is the variable, the numbers 5 is the multiplier and the 3 is the constant.**

__Day #3 The General Term of a Sequence (Term #, Term Value Charts)__p.132 #4-11__Reminders__- To find an algebraic expression or the expression for the "nth" term, set up a Term #, Term Value chart_

__Day #4 Mid Chapter Review__p. 134 #1-5**Don't forget to create a Term #, Term Value Chart when writing algebraic expressions.**

__Day #5 Relating Number Sequences to Graphs__p. 142, 143 #4-8**Remember when graphing the Term Number (independent variable) is on the bottom (x axis) and the Term Value (dependent variable) is on the vertical (y axis)**

**Day #6 Solving Problems by Examining Simpler Problems p. 138 #4-10**

- Be sure to understand the problem. Is there a few steps that will make solving the probleem
- Make sure to extract the key words and information from the problem.

__Day #7 Chapter Review__p. 147 #1-5__Reminders__

- Always use logic when solving problems. As this clip below shows, make sure your answers and assumptions are reasonable.

**Algebra**

**Day #1 Creating and Evaluating Expressions p.260 #6-13**

__Reminders__**A variable is any letter that represents an unknown quantity.****When there is no operation between a number and the letter, the operation is multiplication**

**Day #2 Solving Equations By Graphing p.255 5-9**

**Reminders**

**When creating graphs always use graph paper and a ruler for accuracy - Use the graph paper template****http://incompetech.com/graphpaper/plain****/****For graphs, Term Value is on the vertical (y axis) and Term Number is on the horizontal (x axis).****In order to solve graph a minimum of 4 to 5 points and then extend the straight line (extrapolate).**

**Day #3 Mid Chapter Review p. 263 #1-5**

**Reminders****Be sure you understand the concepts covered so far. At this point in the unit you should be able to:**

**Create a table of values and graph an equation using Term # and Term Value****Read graphs to identify Term # and Term Value****Solve for the term number when given Term Value and vice versa****Write algebraic expressions****Substitute values in for variables and solve**

**If you are having pr**

**oblems with any of these review your homework and let me know so I can help you to clarify these.**

**Day #4 Solving Equations Using Substitution & Systematic Trial p.266 #4, 7-13**

__Reminders__**Substitution - look at the question and see what number logically fits to solve it.****Systematic Trial Sub a number in the variable, if the answer is too low use a higher number, if the answer is too high use a lower number. It is trial and error until we arrive at the correct answer.****These are two ways to solve equations, but have some limitations, particularly as equations become more complex. They do lead us to understand why we need to isolate for the variable the next day.**

**http://www.youtube.com/watch?v=I01sun9UM5I&NR=1**

**Day #5 Solving Equations Balancing - Isolating the Variable p. 270 #5, 8-15**

__Reminders__**In order to move something to the other side of the equation, perform the opposite operation****Move all the variables (letters) to one side and the numbers to the other - usually variables left, numbers right.****Our goal is make the variable a loner, to isolate it by itself.**

**Day #6 Solving Equations Balancing - Isolating the Variable p. 271 16-19**

**Reminders**

**We continued to work on writing and solving equations, by isolating for the variable.****Make sure to follow reverse BEDMAS when deciding which operation to move first across the equal sign.**

**Day #7 Communicating About Equations p.276 #6-10**

**Reminders**

**We are focusing on writing word problems for equations and vice versa.****It is helpful to understand the ways to express each operation.**

**Day #8 Math Review p.279 #1-8**

**Reminders**

**Be sure to watch the above videos for review, make study notes and seek out extra help as needed.**

**Day #9 Chapter Self Test p. 277 #1-8**

**Reminders**

**Be sure to use a study sheet to record problems or types of problems you need more work on.**

**For the summative evaluation, you may choose to do the Chapter Task on p. 280**