3.4 Notes A
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The document discusses perpendicular lines and related concepts like perpendicular bisectors. It provides examples of perpendicular and non-perpendicular lines. It also discusses finding the shortest distance between a point and a line, which is the perpendicular segment connecting the two. Students are given homework on perpendicular lines and an exit slip with two questions about perpendicular bisectors and relationships between lines.
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3.5 Notes B
This document appears to be notes from a math lesson on slopes of lines. It includes definitions of slope, formulas for calculating slope, properties of parallel and perpendicular lines regarding slope, examples of determining if lines are parallel or perpendicular based on their slopes, and homework assignments related to slopes of lines. The document is formatted with questions, definitions, examples, and homework for students.
10 4 practice
This document contains practice problems asking students to find the lateral area and surface area of cones and pyramids. There are 12 problems total broken into 4 sections - finding the lateral area of cones, surface area of cones in terms of pi, lateral area of pyramids, and surface area of pyramids. Students are asked to show their work and provide answers to the nearest specified value.
4.1 4.2 Notes A
The document provides instruction and examples for calculating slope between two points on a graph. It defines slope as "rise over run", or the change in the y-values divided by the change in the x-values between two points. Examples are given for finding the slope between points, identifying positive and negative slopes, and special cases where the slope is zero or undefined. Students are asked to provide their own examples comparing slopes and complete an exit slip with slope problems.
4 7 Notes A
Day 2 Opener:
- Review problem solving linear equations from the previous day
- Introduce different forms of writing linear equations: point-slope form, slope-intercept form, standard form
- Students work with a partner to practice identifying properties of lines from their equations
Section 4.7 Jiffy Graphs:
- Explain how to quickly write an equation of a line given certain information using the different forms
- Demonstrate graphing lines using point-slope and slope-intercept form by plotting points
- Ask students to consider how to graph a line in standard form for the exit slip
6 3 Notes A
1) The document provides examples and explanations of rules for manipulating exponents without a calculator. It covers dividing like bases, raising an exponent to another exponent, and distributing an exponent to a quantity.
2) Students are given examples to expand and simplify expressions using these rules, with step-by-step workings shown for reference.
3) The goal is to teach and practice applying basic exponent rules through worked examples and independent practice problems.
3.1 Notes(3.2 Opener)
This document discusses lines, angles, and parallel lines. It asks the reader to identify different types of line segments, angle pairs, and transversals. It also provides examples of alternate interior angles, alternate exterior angles, corresponding angles, and same-side interior angles. Finally, it assigns homework problems from pages 146-148 involving classifying angle pairs.
4.6 Notes B
This document provides instructions and examples for a skills competition involving solving equations for the variable y. Students have 5 minutes to solve 5 equations, showing their work, and circle their final answers. Correctly solving at least 4 equations earns a prize. Examples are given for finding the slope and equation of a line passing through two points, and for determining the slope from a linear equation. An exit slip assignment involves applying these skills.
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.
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3.5 Notes B
This document appears to be notes from a math lesson on slopes of lines. It includes definitions of slope, formulas for calculating slope, properties of parallel and perpendicular lines regarding slope, examples of determining if lines are parallel or perpendicular based on their slopes, and homework assignments related to slopes of lines. The document is formatted with questions, definitions, examples, and homework for students.
10 4 practice
This document contains practice problems asking students to find the lateral area and surface area of cones and pyramids. There are 12 problems total broken into 4 sections - finding the lateral area of cones, surface area of cones in terms of pi, lateral area of pyramids, and surface area of pyramids. Students are asked to show their work and provide answers to the nearest specified value.
4.1 4.2 Notes A
The document provides instruction and examples for calculating slope between two points on a graph. It defines slope as "rise over run", or the change in the y-values divided by the change in the x-values between two points. Examples are given for finding the slope between points, identifying positive and negative slopes, and special cases where the slope is zero or undefined. Students are asked to provide their own examples comparing slopes and complete an exit slip with slope problems.
4 7 Notes A
Day 2 Opener:
- Review problem solving linear equations from the previous day
- Introduce different forms of writing linear equations: point-slope form, slope-intercept form, standard form
- Students work with a partner to practice identifying properties of lines from their equations
Section 4.7 Jiffy Graphs:
- Explain how to quickly write an equation of a line given certain information using the different forms
- Demonstrate graphing lines using point-slope and slope-intercept form by plotting points
- Ask students to consider how to graph a line in standard form for the exit slip
6 3 Notes A
1) The document provides examples and explanations of rules for manipulating exponents without a calculator. It covers dividing like bases, raising an exponent to another exponent, and distributing an exponent to a quantity.
2) Students are given examples to expand and simplify expressions using these rules, with step-by-step workings shown for reference.
3) The goal is to teach and practice applying basic exponent rules through worked examples and independent practice problems.
3.1 Notes(3.2 Opener)
This document discusses lines, angles, and parallel lines. It asks the reader to identify different types of line segments, angle pairs, and transversals. It also provides examples of alternate interior angles, alternate exterior angles, corresponding angles, and same-side interior angles. Finally, it assigns homework problems from pages 146-148 involving classifying angle pairs.
4.6 Notes B
This document provides instructions and examples for a skills competition involving solving equations for the variable y. Students have 5 minutes to solve 5 equations, showing their work, and circle their final answers. Correctly solving at least 4 equations earns a prize. Examples are given for finding the slope and equation of a line passing through two points, and for determining the slope from a linear equation. An exit slip assignment involves applying these skills.
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.
Unit 1 test 2.9 notes b
1) The document provides 4 math word problems and equations to solve using techniques like backtracking and defining variables.
2) It asks the reader to simplify the expression 2(x+6) - 4(3x - 1) and evaluate it for x = -2.
3) Another problem defines a variable to represent the number of giraffes at Brookfield Zoo and writes an expression relating it to the number of giraffes at Lincoln Park Zoo.
2.2 2.3 notes a
The document describes a numeric pattern where each row contains consecutive odd integers centered around 1. It asks students to conjecture the pattern and sum of terms in each row. It also provides homework questions on conditional statements, deductive reasoning, and analyzing the truth value of related conditional statements.
Unit 1 test 2.9 notes a
1) The document provides 4 math word problems and equations to solve using techniques like backtracking and defining variables.
2) It asks the reader to simplify the expression 2(x+6) - 4(3x - 1) and evaluate it for x = -2.
3) Another problem defines a variable to represent the number of giraffes at Brookfield Zoo and writes an expression relating it to the number of giraffes at Lincoln Park Zoo.
1.6 1.7 notes b
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 segments. It also defines different types of transformations, such as translations, reflections, and rotations. Students are given homework problems applying these concepts, and examples of identifying transformations and describing them with arrow notation.
2.8 notes a
1. The document discusses solving equations by backtracking. It begins by defining an equation and identifying true and false equations. It then discusses the concept of solutions - the values that make the equation true.
2. Examples are provided to illustrate finding solutions to equations by reversing the steps of number tricks. Backtracking involves working backwards through the operations to determine the starting value.
3. Readers are instructed to solve sample equations by listing the number trick steps and then reversing the steps through backtracking to find the solution values.
Chapter 1 rev notes (a)
This document provides homework questions and a review packet for a chapter. It lists 7 numbered sections that appear to be questions or tasks related to reviewing material from the first chapter. The document aims to help students review and reinforce their understanding of the concepts covered in the initial chapter through completing the homework and review activities.
1.6 1.7 notes b
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 segments. It also defines different types of transformations, such as translations, reflections, and rotations. Students are given homework problems applying these concepts, and examples of identifying transformations and describing them with arrow notation.
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 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.
2.5 notes b
This document contains notes and instructions for a math lesson that includes:
1) Solving expressions and evaluating them for given values.
2) Completing an in-class activity with partners to review basic arithmetic rules.
3) Practicing the basic rules of arithmetic through examples of simplifying expressions using properties like commutative, associative, and distributive properties.
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.
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Unit 1 test 2.9 notes b
1) The document provides 4 math word problems and equations to solve using techniques like backtracking and defining variables.
2) It asks the reader to simplify the expression 2(x+6) - 4(3x - 1) and evaluate it for x = -2.
3) Another problem defines a variable to represent the number of giraffes at Brookfield Zoo and writes an expression relating it to the number of giraffes at Lincoln Park Zoo.
2.2 2.3 notes a
The document describes a numeric pattern where each row contains consecutive odd integers centered around 1. It asks students to conjecture the pattern and sum of terms in each row. It also provides homework questions on conditional statements, deductive reasoning, and analyzing the truth value of related conditional statements.
Unit 1 test 2.9 notes a
1) The document provides 4 math word problems and equations to solve using techniques like backtracking and defining variables.
2) It asks the reader to simplify the expression 2(x+6) - 4(3x - 1) and evaluate it for x = -2.
3) Another problem defines a variable to represent the number of giraffes at Brookfield Zoo and writes an expression relating it to the number of giraffes at Lincoln Park Zoo.
1.6 1.7 notes b
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 segments. It also defines different types of transformations, such as translations, reflections, and rotations. Students are given homework problems applying these concepts, and examples of identifying transformations and describing them with arrow notation.
2.8 notes a
1. The document discusses solving equations by backtracking. It begins by defining an equation and identifying true and false equations. It then discusses the concept of solutions - the values that make the equation true.
2. Examples are provided to illustrate finding solutions to equations by reversing the steps of number tricks. Backtracking involves working backwards through the operations to determine the starting value.
3. Readers are instructed to solve sample equations by listing the number trick steps and then reversing the steps through backtracking to find the solution values.
Chapter 1 rev notes (a)
This document provides homework questions and a review packet for a chapter. It lists 7 numbered sections that appear to be questions or tasks related to reviewing material from the first chapter. The document aims to help students review and reinforce their understanding of the concepts covered in the initial chapter through completing the homework and review activities.
1.6 1.7 notes b
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 segments. It also defines different types of transformations, such as translations, reflections, and rotations. Students are given homework problems applying these concepts, and examples of identifying transformations and describing them with arrow notation.
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 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.
2.5 notes b
This document contains notes and instructions for a math lesson that includes:
1) Solving expressions and evaluating them for given values.
2) Completing an in-class activity with partners to review basic arithmetic rules.
3) Practicing the basic rules of arithmetic through examples of simplifying expressions using properties like commutative, associative, and distributive properties.
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.
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3.4 Notes A
- 1. 3.4 Perpendicular Lines October 16th, 2009 1
- 2. 3.4 Perpendicular Lines October 16th, 2009 Spartan Sneaky Shuffle Stop With the BIG Homecoming Game this weekend against Maine East, Coach Pieper knew he'd have to create something bedazzling to stop those Blue Demons in their tracks. So he came up with his secret play: the Spartan Sneaky Shuffle Stop, but he needs our help... 2
- 3. 3.4 Perpendicular Lines October 16th, 2009 Homework Questions: 3
- 4. 3.4 Perpendicular Lines October 16th, 2009 3.4 Perpendicular Lines 4
- 5. 3.4 Perpendicular Lines October 16th, 2009 Perpendicular Bisector: • A line _____________ to a segment at the segment's ____________. Example: Non-Example: 5
- 6. 3.4 Perpendicular Lines October 16th, 2009 Question: What's the shortest distance between 2 points? Q:How about the shortest distance between a point and a line? A: A perpendicular segment connecting the two. Distance from a point to a line: • the length of the ______________ segment from the point to the line. 6
- 7. 3.4 Perpendicular Lines October 16th, 2009 Ex 1: Distance From a Point to a Line C P B x - 8 12 A A: Name the shortest segment from point A to BC. B:Write and solve an inequality for x. 7
- 8. 3.4 Perpendicular Lines October 16th, 2009 8
- 9. 3.4 Perpendicular Lines October 16th, 2009 9
- 10. 3.4 Perpendicular Lines October 16th, 2009 Homework: • As is on Assignment Sheet Exit Slip: 1.) State two main requirements to be a perpendicular bisector. 2.) If two coplanar lines are perpendicular to the same line, then the two lines are ____________ to each other. 10