Alg2.5 B Notes
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1. The document provides examples to evaluate the expression 2(x+1) for different values of x, and explains why 2(x+1) is always even and 2(x)+1 is always odd when x is an integer. 2. Students complete an activity with basic rules of arithmetic and then rephrase the rules without using variables. Examples of rephrased rules are provided. 3. Additional examples work through binary operations, using properties of operations, and finding patterns in products. Homework assigned includes a mini quiz, practice problems, and studying for an upcoming test.
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This document contains notes and instructions for a math lesson that includes:
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This document provides examples and explanations of the midpoint and distance formulas, as well as transformations in the coordinate plane. It includes 4 examples of using the midpoint and distance formulas to find midpoints and lengths of line segments. It also discusses the different types of transformations (translations, reflections, rotations, and dilations) and provides examples of identifying each type using arrow notation. The homework assignments are to complete practice problems from sections 1.6 and 1.7 in the textbook, as listed.
1.6 1.7 notes a
This document provides examples and explanations of the midpoint and distance formulas, as well as transformations in the coordinate plane. It includes 4 examples of using the midpoint and distance formulas to find midpoints and lengths of line segments. It also discusses the different types of transformations - translations, reflections, rotations, and dilations - and provides examples of identifying each type of transformation using arrow notation. The homework assignments are to complete practice problems from sections 1.6 and 1.7 in the textbook, as listed.
1.5 1.6 notes b
1. The document provides instructions for a quiz and homework assignments on geometry chapters 1.5 and 1.6.
2. Students are asked to work on their vocabulary packet silently after finishing the quiz. Then the class will review geometry formulas.
3. The homework assignments are to complete problems on page 38 from section 1.5 and page 47 from section 1.6 in the textbook. These cover midpoints, distances, and the midpoint and distance formulas.
1.5 1.6 notes b
1. The document provides instructions for a quiz and homework assignments on geometry chapters 1.5 and 1.6.
2. Students are asked to work on their vocabulary packet silently after finishing the quiz. Then the class will review geometry formulas.
3. The homework assignments are to complete problems on page 38 from section 1.5 and page 47 from section 1.6 in the textbook. These cover midpoints, distances, and the midpoint and distance formulas.
1.5 1.6 notes b
1. The document provides instructions for a quiz and homework assignments on geometry chapters 1.5 and 1.6.
2. It includes examples of using the midpoint formula to find the midpoint of a segment and using given midpoints and endpoints to find missing endpoints.
3. There are also examples of using the Pythagorean theorem and distance formula to find the length of a segment between two points.
1.5 1.6 notes a
1. The document provides instructions for a quiz and homework assignments on geometry chapters 1.5 and 1.6. Students are asked to work on vocabulary and postulates after the quiz.
2. Examples are given for finding midpoints and distances between points on a coordinate plane using formulas like the midpoint formula, Pythagorean theorem, and distance formula.
3. Homework assignments include problems from the textbook on the topics of formulas in geometry, midpoints, and distance.
2.6 2.7 notes a
1. The document provides instructions and tasks for students to complete mathematical expressions, homework questions, and a lesson on reversible and non-reversible operations.
2. Students are asked to simplify expressions, complete homework problems, and determine whether example operations are reversible by considering if the starting number can be determined.
3. The document demonstrates how to "backtrack" through a multi-step operation to find the original starting number using reversible operations.
2.4 notes b
1. Students were asked to put math problems on the board from previous homework. The document then provides examples of expressions and teaches how to simplify them using order of operations and properties like the distributive property. Students are asked to simplify sample expressions involving variables.
2. The document reviews that expressions need to have "like terms" to be simplified, such as terms with the same variables. Students practice simplifying expressions with multiple variables and terms by combining like terms.
3. To conclude, students are instructed to write their name and ID number on raffle tickets and provide just the simplified answer, practicing the skills of defining a variable, writing an expression, simplifying it, and evaluating it.
2.3 notes b
This document contains instructions for students to complete various math exercises on their TI-Nspire calculators. It asks students to match expressions to steps, write an expression for the area of a rectangle, simplify an algebraic expression, evaluate expressions for different variable values, and complete an activity on their calculators worth daily work points. Students are told to work with partners but can ask other group members for help if needed and to raise their hand once finished.
2.2 notes a
1. When entering class each day, students should say hi, have their homework out, write any questions on the board, and start the opener problem.
2. The document then provides examples of algebra problems involving variables to represent unknown quantities and expressions combining variables, operators, and constants.
3. Students are instructed to complete a set of practice problems from page 94 in their workbook and have their work checked by the teacher.
8.7 notes b
This document contains notes from multiple sections on solving systems of equations by graphing. It includes questions on graphing systems like y = 3x - 4 and y = -2x + 5. It also asks how to solve an absolute value equation like |x+4| = x^2 - 3 and discusses the pros and cons of the graphing method, listing advantages and disadvantages. Finally, it addresses solving an equation like x^3 + 5x = 7x^2 - 5 by graphing and reflects on graphing techniques from prior lessons.
8.7 notes b
This document contains notes from multiple sections on solving systems of equations by graphing. It includes questions about graphing systems like y = 3x - 4 and y = -2x + 5. It also asks how to solve an absolute value equation like |x+4| = x^2 - 3 and discusses the pros and cons of the graphing method, listing advantages and disadvantages.
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Alg2.5 B Notes
- 1. Opener Evaluate the expression 2(x+1) for each value of x. a) 1 b)2 d) 4 d) -2 h) Explain why 2 (x +1) is always even if x is an integer. i) Explain why 2(x) + 1 is always odd if x is an integer. 1
- 3. Partner Basic Rules Activity You have 15 minutes. Raise your hand when you're done for me to check. Once I have checked, place all of the pieces back into the baggies. After this, read pages 110 - 111. 3
- 4. 2.5 Rephrasing the Basic Rules 1.) Express each sentence without using variables: a. Dividing is the same as multiplying by the reciprocal. b. Subtracting is the same as adding the opposite. c. If you have a product of two numbers, and you find the products of the opposites of the numbers, you get the same result. d. If you multiply two numbers together and the result is 1, the numbers are reciprocals. 4
- 5. Binary Operation: Specially defined operation that takes 2 numbers and produces one number. 1.) The binary operation is defined by the following rule. x y = 3x + y a. Explain how to find 416 = 18 b. Evaluate 614. c. Is 1 commutative? In other words, does 1 have an any-order property? 5
- 6. Use the any-order, any-grouping properties and the Distributive Property to simplify each expression. Remember to combine like terms. a. 2(x + 4) + 7 b. 13 + 3(1 + 2x) c. 3(2x - 5) - 8 d. 4(x + 3) + 7(x + 3) e. 6(3 - 2x) - 3(x + 1) 6
- 7. Find each product. Look for patterns. a. (10/13 54) 13 b. (10/13 81) 13 c.(10/13 1113) 13 d. Describe a pattern. 7
- 8. Homework: • Pick up mini quiz from Ms. Betzel tomorrow • Page 113 # 5, 6, 8ab, 11, 12 • STUDY for Chapter 1B/2A Test *Notes *Quizzes 3 & 4 * Partner Points Activity * Basic Rules Activity * Mathematical Reflections 2A (Page 115) 8