1.4 Measuring and Classifying Angles
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The document discusses angles and how to measure them using a protractor. It provides examples of angles in everyday life and notes that the ancient Babylonians were the first to divide a circle into 360 equal parts called degrees. It explains how to properly use a protractor to measure angles, including making sure the protractor is lined up with the vertex of the angle and reading the measurement. The document also classifies different types of angles such as acute, right, obtuse, and straight angles.
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This document discusses different types of angles:
- Acute angles are less than 90 degrees.
- Right angles measure exactly 90 degrees.
- Obtuse angles are greater than 90 degrees.
It provides examples of how angles are used in everyday situations like telling time and opening doors. It also defines angles more formally in geometry as the figure formed by two rays with a common endpoint. The document explains how angles are measured in degrees using a protractor.More from Dee Black (9)
1.6 Algebra and Angles
1.6 Algebra and AnglesDee Black
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This document provides examples and explanations for using algebra to solve for unknown angle measures involving complementary and supplementary angles. It begins with warm up problems labeling angle pairs as complementary, supplementary, or neither. Examples are then worked through step-by-step to find missing angles given information about one angle. Students are assigned complementary, supplementary, or 3 times larger problems to work through independently and explain to the class. Homework and an upcoming test are assigned before ending.1.5 Complementary and Supplementary Angles 
1.5 Complementary and Supplementary Angles Dee Black
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Some slides lifted from: http://www.google.com/url?sa=t&rct=j&q=&esrc=s&source=web&cd=4&ved=0CEsQFjAD&url=http%3A%2F%2Fdionmath.wikispaces.com%2Ffile%2Fview%2F2.3%2BComplementary%2Band%2BSuppl.%2BAngles.ppt&ei=_wVFUbzHCa-o4AP9ooGwBQ&usg=AFQjCNF-KDyDx_yiVaUuMJMdM6yOJqHASQ&sig2=wH2TZ9xGxsHgtc4cCnn2QQ&bvm=bv.43828540,d.dmg&cad=rja1.2 Ruler Postulates
1.2 Ruler PostulatesDee Black
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The document discusses three geometric postulates:
1) The ruler postulate establishes a one-to-one correspondence between points on a line and real numbers on the number line, where the distance between points equals the absolute value of the difference of their corresponding numbers.
2) The ruler placement postulate allows choosing a number line such that two given points correspond to 0 and a positive number.
3) The segment addition postulate states that if one point is between two others, the sum of the distances to the end points equals the distance between the outer points.1 4 Properties of Real Numbers
1 4 Properties of Real NumbersDee Black
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The document discusses properties of real numbers including commutative, associative, identity, zero, and multiplication properties of addition and multiplication. These properties allow expressions to be rewritten and compared, and are useful rules for solving problems using mental math. Examples are provided to demonstrate applying properties like commutative and associative to solve problems.1.3 Real Numbers and the Number Line
1.3 Real Numbers and the Number LineDee Black
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The document discusses classifying, graphing, and comparing real numbers, including finding and estimating square roots. It defines real numbers as numbers that can be located on the number line, including integers, rational numbers, and irrational numbers. The document also discusses the differences between finding the square root of a perfect square versus a non-perfect square.10.1 Pythagorean Theorem
10.1 Pythagorean TheoremDee Black
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The document provides instruction on the Pythagorean theorem. It defines key vocabulary like hypotenuse and leg. It explains how to use the theorem to find the length of an unknown side of a right triangle if two sides are known. Examples show setting up and solving equations using the theorem. The document also discusses using the theorem to determine if a triangle is right based on the lengths of its sides.1 2 part 2 Evaluating Expressions
1 2 part 2 Evaluating ExpressionsDee Black
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This document provides instructions on evaluating expressions by substituting values for variables and simplifying. It includes examples of evaluating algebraic expressions by substituting values for variables a, b, and c. The document also defines key vocabulary like "evaluate" and provides practice problems and assignments for students to complete. It concludes by emphasizing that evaluating expressions involves substituting values before simplifying.Algebra Foundations Series- 1.2 Order of Operations
Algebra Foundations Series- 1.2 Order of OperationsDee Black
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Pearson Algebra I Foundations 1-2 Part 1. Vocabulary: power, exponent, base, simplify.
Includes focus questions and examples.Algebra Foundations Series- 1.1 Variables and Expressions
Algebra Foundations Series- 1.1 Variables and ExpressionsDee Black
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This document appears to be from a math class and includes the following elements:
1. An outline of the daily agenda which includes picking a seat, getting supplies, writing a verb to describe summer, and using class time well.
2. Sections on vocabulary words like quantity, variable, algebraic expression, and numerical expression with definitions and examples.
3. Word phrases used in algebraic expressions like addition, subtraction, multiplication, and division terms.
4. Practice writing algebraic expressions using variables and numbers.
5. A focus question asking how algebraic expressions differ from numerical expressions.
6. An assignment listing specific math problems to complete for homework.
7. Instructions to write in a math journal about the difficulty of1.4 Measuring and Classifying Angles
- 3. The ancient Babylonians created several systems of measurement. Historians believe that they were the first people to divide a circle into 360 equal parts, called degrees. No matter who invented them, we all use degrees to measure angles.
- 5. The symbol for a degree is 属. An angle measurement of 10 degrees is written 10属. To measure an angle you have to use a protractor. A protractor is a tool shaped like half a circle with markings from 0属 to 180属.
- 6. You need to make sure the protractor is lined up correctly. Is this ready to measure the angle?
- 7. Look for the upside down T in the middle of the straight line on your protractor. This needs to be exactly on the vertex of your angle.
- 8. We need to remember..... It doesnt matter which way round the angle is, you ALWAYS need to line the upside down T to the vertex of the angle.
- 9. Read from the 0属, and follow the inner set of numbers.
- 10. You then need to look at the 1属 markings on the outer set of numbers.
- 11. This angle measures 35属.
- 12. Turn to page 15 in your textbook. Measure angle a. What did you get?
- 13. You can classify an angle using its measure. An acute angle is an angle whose measure is greater than 0 and less than 90属.
- 20. Look again at the right angles. Lines that form right angles are said to be perpendicular lines. The symbol for perpendicular lines is What 2 lines are perpendicular?
- 21. Complete pages 18-19 All You have 15 minutes. Homework: Workbook 5 You need a protractor!!