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Algebra Chapter 1

Algebra Chapter 1. Connections to algebra. Entry Task 09/12/2012 . Evaluate the Expression using your brain. 2*1= 2*2= 2*3= 2*4= 2*5= 2*6= 2*7= 2*8= 2*9= 2*10= 2*11= 2*12=. 3*1= 3*2= 3*3= 3*4= 3*5= 3*6= 3*7= 3*8= 3*9= 3*10= 3*11= 3*12=.

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Algebra Chapter 1

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  1. Algebra Chapter 1 Connections to algebra

  2. Entry Task 09/12/2012 Evaluate the Expression using your brain. • 2*1= • 2*2= • 2*3= • 2*4= • 2*5= • 2*6= • 2*7= • 2*8= • 2*9= • 2*10= • 2*11= • 2*12= • 3*1= • 3*2= • 3*3= • 3*4= • 3*5= • 3*6= • 3*7= • 3*8= • 3*9= • 3*10= • 3*11= • 3*12= When you are done with the entry task work on any assignments you have not completed.

  3. ET- write these notes down • Variable- a letter that is used to represent one or more numbers. • Value of a variable- the numbers represented by the variable • Variable Expression- A collection of numbers, variables and operations. • Evaluating the Expression- replacing each variable by a number and doing the math • Power Expression- an expression that has a power in it. For example 46 • Exponent- the number of times the base is used as a factor, or multiplied. • Base- the bottom number in a power, the number that is being multiplied. When you are done work on any assignments you have not completed.

  4. Vocabulary • Unit Analysis- figuring out the units for each variable in a problem. When the same units occur in the numerator and the denominator then you can cancel the units. • Verbal Model- represent the math problem in words instead of math symbols. • Important equations • Average speed = distance time • Simple interest = Principle(interest rate)(time)

  5. Entry Task 09/13/2011 Evaluate the Expression using your calculator 1.) 120(0.05)(3.5) 2.) 3.) 4.) 5.) Find the perimeter of the square. 7.1 cm

  6. ET- Copy this into your math notebookPlace Value

  7. Real Numbers Practice 2 • Answer the following questions in your groups, check the solution stations to see if you are correct. 1.) Choose the best classification for the following. • a.) 2/3 b.) 0 2.) List all of the possible classifications for the following. a.) -5 b.) 1.23 3.) Determine whether the following is true or false using your Venn diagram, if it is false explain why or give a counterexample. a.) All whole numbers are Integers. b.) All integers are whole numbers. 4.) list the following in increasing order ( from smallest to biggest) 3, -3.4, √6 , √16, -100

  8. Quiz You may use: • Your knowledge folder • Your calculator • Your notes • A pencil Please make sure there is at least one foot between you and any other person. After you finish your quiz please work quietly on your homework until I announce that it is ok to talk. You may listen to music as long as no one else can hear it and your music player is sitting on the desk where I can check it. DO NOT TOUCH YOUR MUSIC PLAYER ONCE THE TEST HAS BEGUN. No talking during the quiz please. You may not use: • Your friends • The internet • pen

  9. Exit Task • List the first nine multiples of 2. • i.e. 1(2)=2, 2(2)=4, …..

  10. Entry Task 09/14/2011 Evaluate the Expression using your calculator 1.) 120-0.05(3.5) 2.) 3.) 4.) 5.) Find the area of the square. 7.1 cm

  11. Guided Practice • Complete Pg. 6 #4 and 13-18 • When finished work on pg. 6-7 #19-43 odd challenge problems 48 and 49

  12. Exit Task • List the first nine multiples of 3

  13. Entry Task 09/15/2011 1.) What is the best classification for 5/2? a.) Real b.) Rational c.) irrational d.) Natural e.) integer Evaluate the Expression using your calculator, write your answer as a fraction. 1.) 2.5(4)(-1.25) 2.) 3.) 4.) 5.) Find the area of the square. 5 cm

  14. Vocabulary • Power Expression- an expression that has a power in it. For example 46 • Exponent- the number of times the base is used as a factor, or multiplied. • Base- the bottom number in a power, the number that is being multiplied.

  15. Examples

  16. Home Fun • Pg. 12 # 1-16 all and 73-77 odd • Challenge problems # 61-67

  17. Exit Task • List the first nine multiples of 4

  18. Entry Task 09/18/2012 1.) What is the best classification for 8? a.) Real b.) Rational c.) irrational d.) Natural e.) integer 2.) order from least to greatest 5, 3.5, -1.2, ¾ Evaluate 3.) 4.) 5.) 6.) Find the area of the square. 8 cm

  19. Entry Task 09/19/2012 1.) What is the best classification for 0.23? a.) Real b.) Rational c.) irrational d.) Natural e.) integer 2.) order from least to greatest 0.4, 1.2, -0.4, 3/4 Evaluate 3.) 4.) 5.) 6.) Find the perimeter of the rectangle. Make sure you use the correct units 7.) What is my rate if I go 30 miles in 15minutes 8.) true or false? “all natural numbers are rational.” why? 14 cm 8 cm

  20. 1.3 vocabulary • Order of Operations- the order in which mathematicians have established that we do math. • Left to right rule- operations that have the same priority, such as multiplication and division or addition and subtraction are preformed from left to right.

  21. 1.3 home fun • Guided practice pg. 19 #1-12, 70-72 • Challenge problems pg. 20 #48-52

  22. Entry Task 09/20/2011 • Get out your math notebook • Get out your knowledge folder • Make sure there is at lease 1 foot between you and your neighbor. • Make sure you have a pencil, calculator and eraser to take the quiz.

  23. 1.3 vocabulary • Order of Operations- the order in which mathematicians have established that we do math. • Left to right rule- operations that have the same priority, such as multiplication and division or addition and subtraction are preformed from left to right.

  24. Vocabulary section 1.4 • Equation- two expressions with an equal sign between them • Open sentence- An equation with one or more variables. • Solution of an equation- a number that replaces the variable in an equation with one variable and makes it true. • Inequality- two expressions with an inequality symbol between them. • Solution to an inequality - a number that produces a true statement when it is substituted for the variable in the inequality.

  25. Home Fun • Complete worksheet for 1.4 • It is the same as pg. 27 # 1-7, 9-16, 84, 85, 88-90, 100 out of the book • Challenge: pick 5 word problems

  26. Exit task • List the first nine multiples of 3

  27. Entry Task 09/24/2012 1.) What is the best classification for -6? a.) Real b.) Rational c.) irrational d.) Natural e.) integer 2.) order from least to greatest -0.01, -5, 5, 0 Evaluate round to the hundredth place using your calculator 3.) 4.) 5.) 6.) Find the perimeter of the rectangle. Make sure you use the correct units 7.) I want to buy a pair of cute jeans, they cost $40 normally, but I have a coupon for 25% off, if I only have $30 to spend on jeans will I be able to afford this pair? (don’t worry about tax, I am shopping in Oregon) 5 cm 3 cm

  28. Quiz Retake • Get out your math notebook • Get out your knowledge folder • Make sure there is at lease 1 foot between you and your neighbor. • Make sure you have a pencil, calculator and eraser to take the quiz.

  29. Home Fun • Pg. #1-7, 12-14, 19

  30. Entry Task 09/25/2012 1.) What is the best classification for 56? a.) Real b.) Rational c.) irrational d.) Natural e.) integer Evaluate. round to the hundredth place 2.) 3.) 4.) 5.) Find the area of the rectangle. Make sure you use the correct units 6.) I want to calculate my fuel mileage, I like to know it in miles per gallon. If I drove 350 miles and put 14 gallons of gas in my car, what was my fuel mileage? Is that good? 5 cm 3 cm

  31. Objective • Translate verbal phrases into algebraic expressions. Model and solve a real-life problem. • Standard: A1.1.A Select and justify functions and equations to model and solve problems.

  32. Home Fun • Pg. 35 #1-12, 39-43, 67-69 • Challenge problems pick 5 word problems

  33. Entry Task 09/26/2012 1.) What is the best classification for 1.45? a.) Real b.) Rational c.) irrational d.) Natural e.) integer Evaluate. round to the hundredth place 2.) 3.) 4.) 5.) Find the volume of the cube 6.) I want to calculate my fuel mileage, I like to know it in miles per gallon. If I drove 350 miles and put 7 gallons of gas in my car, what was my fuel mileage? Is that good? 3in

  34. Quiz Instructions • Title- have one • Axis- label them • Intervals- make sure all numbers are included and you use enough of the graph • Labels- units included • Scale-use at least 50% of the graph • Get out: • your knowledge folder • your notebook • a calculator • I will be doing a notebook check today • You must use a pencil • When you are finished write the notes to the left in your notebook. • Then complete your homework

  35. Entry Task 09/28/2011 1.) What is the best classification for 0? a.) Real b.) Rational c.) irrational d.) Natural e.) integer f.) whole Evaluate. round to the hundredth place 2.) 3.) 4.) 5.) Find the volume of the rectangular prism 6.) I want to calculate my fuel mileage, I like to know it in miles per gallon. If I drove 400 miles and put 17 gallons of gas in my car, what was my fuel mileage? Is that good? 5in 3in 2in

  36. Section 1.6 notes • Title- have one • Axis- label them • Intervals- make sure all numbers are included and you use enough of the graph • Labels- units included • Scale-use at least 50% of the graph • Et- write this down in your math notebook

  37. Entry Task 09/29/2011 1.) is this statement true or false? All real numbers are irrational Evaluate. round to the hundredth place 2.) 3.) 4.) 5.) Find the volume of the rectangular prism 6.) you and three friends buy a pizza. You paid $2.65 for your share (1/4 of the pizza). Write an equation that models the situation. What was the total cost of the pizza? 3in 2in 1in

  38. Objective Identify a function and make an input-output table for a function. State Standard: A1.3.A Determine whether a relationship is a function and determine the domain, range, roots and independent and dependant variables.

  39. Vocabulary • Function- a relation where for each input there is exactly one output Input-output table- lists the inputs and outputs in table form Domain- the collection of all input values Range- the collection of all output values Independent Variable- The input of the function, in an experiment the independent variable is not being changed. Dependant Variable- the output of a function, in an experiment the dependant variable is being changed by the independent variable.

  40. Making an input output table The Triangular Numbers http://www.mathsisfun.com/numberpatterns.html

  41. Home Fun • Practice B • Challenge practice C

  42. Entry Task 09/30/2011 • Get out your math notebook • Get out your knowledge folder • Make sure there is at lease 1 foot between you and your neighbor. • Make sure you have a pencil, calculator and eraser to take the quiz.

  43. Home Fun • Practice B • Challenge practice C

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