December 1, 2014 Unit 2c - Scientific Notation Standards: MCC8.EE.3, MCCG8.EE.4 MCC8.EE.1: Know and apply the properties of integer exponents to generate equivalent numerical expressions. MCC8.EE.2: Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that 2 is irrational. MCC8.EE.7: Solve linear equations in one variable including special cases. MCC8.EE.7a: Give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions. MCC8.EE.7b: Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms. MCC8.EE.3 - Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities, and to express how many times as much one is than the other. MCC8.EE.4 - Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. Is this in correct scientific notation form? If not, explain. If correct, explain how you know. 5008.34 x 10 4 Warm-up Return graded papers Hand out HW #13 (to remain consistent with Mrs. Merchant, HW#12 will be skipped) Continue Scientific Notation - Powerpoint > How to change large numbers in standard form to scientific notation and back > How to change small numbers in standard form to scientific notation and back Summarize - Student Led www.bowiemath.weebly.com Remind 101: (817)591-2023 with the message @bowie.
Notes for Scientific Notation 1.) The entire purpose of scientific notation is to learn how to write very large numbers or very small numbers in short hand. 2.) If the standard number is greater than one, then the exponent will be positive. Ex. 234 = 2.34 x 10 2 (See positive exponent) 3.) If the standard number is less than one, then the exponent will be negative. Ex. 0.00031 = 3.1 x 10-4 (See negative exponent) 4.) The decimal point must end behind the first NON- ZERO digit. Ex. 0.0068 = 0.68 x 10-2 NO!!!! Ex. 0.0068 = 6.8 x 10-3 YES!!!!!
December 3, 2014 Unit 2c - Scientific Notation Standards: MCC8.EE.3, MCCG8.EE.4 MCC8.EE.1: Know and apply the properties of integer exponents to generate equivalent numerical expressions. MCC8.EE.2: Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that 2 is irrational. MCC8.EE.7: Solve linear equations in one variable including special cases. MCC8.EE.7a: Give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions. MCC8.EE.7b: Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms. MCC8.EE.3 - Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities, and to express how many times as much one is than the other. MCC8.EE.4 - Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. Put in standard form. 19.34 x 10 4 Warm-up Review worksheet from yesterday (scientific notation) More notes on scientific notation Practice problems HW #13 - Due: Friday, December 5th Summarize - Student Led www.bowiemath.weebly.com Remind 101: (817)591-2023 with the message @bowie.
December 4, 2014 Unit 2c - Scientific Notation Standards: MCC8.EE.3, MCCG8.EE.4 MCC8.EE.1: Know and apply the properties of integer exponents to generate equivalent numerical expressions. MCC8.EE.2: Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that 2 is irrational. MCC8.EE.7: Solve linear equations in one variable including special cases. MCC8.EE.7a: Give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions. MCC8.EE.7b: Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms. MCC8.EE.3 - Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities, and to express how many times as much one is than the other. MCC8.EE.4 - Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. ALL LATE WORK/MISSING WORK IS DUE BY WED., DEC 10TH Please put in correct scientific notation AND then put in standard notation (form). 1.) 10.576 x 10-3 2.) 365.21 x 10-4 3.) 0.043 x 10 3 Warm-up Collect HW (WS from Tuesday) All students were shown their grades and they are FULLY aware of their missing work! Youtube Video - https://www.youtube.com/watch?v=wwmj5nmmigq Multiplying/Dividing Scientific Notation HW #13 - Due: Tomorrow, December 5th Summarize - Student Led 4.) 145.8 x 10 2 5.) 374.1 x 10-4 www.bowiemath.weebly.com Remind 101: (817)591-2023 with the message @bowie.
Warm-up Collect HW#13 Scientific Notations - All Operations Test on Unit 2 - Wednesday, Dec. 10th Midterm Exam - Monday, Dec. 15th Summarize - Student Led December 5, 2014 Unit 2c - Scientific Notation Standards: MCC8.EE.3, MCCG8.EE.4 MCC8.EE.1: Know and apply the properties of integer exponents to generate equivalent numerical expressions. MCC8.EE.2: Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that 2 is irrational. MCC8.EE.7: Solve linear equations in one variable including special cases. MCC8.EE.7a: Give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions. MCC8.EE.7b: Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms. MCC8.EE.3 - Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities, and to express how many times as much one is than the other. MCC8.EE.4 - Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. ALL LATE WORK/MISSING WORK IS DUE BY WED., DEC 10TH What is the value of the following numbers? 10 3 10 6 10-4 10-9 Write your answers two equivalent ways. www.bowiemath.weebly.com Remind 101: (817)591-2023 with the message @bowie.
Writing Assignment 1. How do you write 501 in scientific notation? 2. How do you write 3.25 x 10-4 in standard form? 3. How do you multiply two numbers written in scientific notation? Ex. (2 x 10-1 )(10 x 10 3 ) 4. How do you divide two numbers written in scientific notation? Ex. 2x10-1 10x10 3
Solve (Addition & Subtraction) (1.5 x 10 3 ) + (2.8 x 10 0 ) (5.6 x 10 2 ) - (1.2 x 10 1 ) Try to solve the problems above. List the steps you used to come up with your answer. I will show you how to complete the problems after you have given your best effort.
December 8, 2014 Unit 2c - Scientific Notation Standards: MCC8.EE.3, MCCG8.EE.4 MCC8.EE.1: Know and apply the properties of integer exponents to generate equivalent numerical expressions. MCC8.EE.2: Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that 2 is irrational. MCC8.EE.7: Solve linear equations in one variable including special cases. MCC8.EE.7a: Give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions. MCC8.EE.7b: Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms. MCC8.EE.3 - Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities, and to express how many times as much one is than the other. MCC8.EE.4 - Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. Solve: ALL LATE WORK/MISSING WORK IS DUE BY WED., DEC 10TH (9.36 x 10-1 ) + (9.36 x 10 1 ) (3.24 x 10 5 ) - (3.24 x 10 0 ) Warm-up Study Guide for Unit 2 Test on Unit 2 - Wednesday, Dec. 10th Midterm Exam - Monday, Dec. 15th Summarize - Student Led www.bowiemath.weebly.com Remind 101: (817)591-2023 with the message @bowie.
December 9, 2014 Unit 2c - Scientific Notation Standards: MCC8.EE.3, MCCG8.EE.4 MCC8.EE.1: Know and apply the properties of integer exponents to generate equivalent numerical expressions. MCC8.EE.2: Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that 2 is irrational. MCC8.EE.7: Solve linear equations in one variable including special cases. MCC8.EE.7a: Give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions. MCC8.EE.7b: Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms. MCC8.EE.3 - Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities, and to express how many times as much one is than the other. MCC8.EE.4 - Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. ALL LATE WORK/MISSING WORK IS DUE TOMORROW, DEC 10TH! Put the following numbers in order from least to greatest. 3.68 x 10-5 0.368 x 10-5 Warm-up Continue - Study Guide for Unit 2 Test on Unit 2 - Wednesday, Dec. 10th Midterm Exam - Monday, Dec. 15th Summarize - Student Led 0.00368 36.8 x 10 1 www.bowiemath.weebly.com Remind 101: (817)591-2023 with the message @bowie.
December 10, 2014 Unit 2c - Scientific Notation Standards: MCC8.EE.3, MCCG8.EE.4 MCC8.EE.1: Know and apply the properties of integer exponents to generate equivalent numerical expressions. MCC8.EE.2: Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that 2 is irrational. MCC8.EE.7: Solve linear equations in one variable including special cases. MCC8.EE.7a: Give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions. MCC8.EE.7b: Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms. MCC8.EE.3 - Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities, and to express how many times as much one is than the other. MCC8.EE.4 - Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. ALL LATE WORK/MISSING WORK IS DUE TODAY! Please get ready for your test on unit 2. No Warm-up Unit 2 Test Study Guide - Midterm Exam Midterm Exam - Monday, Dec. 15th Summarize - Student Led www.bowiemath.weebly.com Remind 101: (817)591-2023 with the message @bowie.
December 11, 2014 Unit 2c - Scientific Notation Standards: MCC8.EE.3, MCCG8.EE.4 MCC8.EE.1: Know and apply the properties of integer exponents to generate equivalent numerical expressions. MCC8.EE.2: Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that 2 is irrational. MCC8.EE.7: Solve linear equations in one variable including special cases. MCC8.EE.7a: Give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions. MCC8.EE.7b: Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms. MCC8.EE.3 - Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities, and to express how many times as much one is than the other. MCC8.EE.4 - Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. Please get ready to complete your test on unit 2. Once you have 9inished the test, please see me for a study guide for the midterm exam. No Warm-up Unit 2 Test Study Guide - Midterm Exam Midterm Exam - Monday, Dec. 15th Summarize - Student Led www.bowiemath.weebly.com Remind 101: (817)591-2023 with the message @bowie.
No Warm-up Review Study Guide - Midterm Exam Midterm Exam - Monday, Dec. 15th Summarize - Student Led www.bowiemath.weebly.com December 12, 2014 Unit 2c - Scientific Notation Standards: MCC8.EE.3, MCCG8.EE.4 MCC8.EE.1: Know and apply the properties of integer exponents to generate equivalent numerical expressions. MCC8.EE.2: Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that 2 is irrational. MCC8.EE.7: Solve linear equations in one variable including special cases. MCC8.EE.7a: Give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions. MCC8.EE.7b: Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms. MCC8.EE.3 - Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities, and to express how many times as much one is than the other. MCC8.EE.4 - Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. Remind 101: (817)591-2023 with the message @bowie. Review study guide Please note: The study guide is just a guide, it is not the exam! You are responsible for knowing all of the material taught for the entire semester, which may not be included on the study guide. Study guides are designed to help or refresh your memory not reteach everything. Please review your notes, print weebly notes and take the information from your packets to get a full picture of what will be on the test. Thank you!
1st Semester Exam Review Geometric Transformations *Translations moves (slides) figure, image is same size, looks same *Reflections *Rotations flips figure, image is same size, looks like mirror image turns figure, image is same size, looks like it's been turned *Dilations shrinks or stretches figure, image is NOT same size larger image = whole # scale factor smaller image = fraction Congruence vs Similarity
*Complementary Angle Relationships *Supplementary *Adjacent *Vertical ================================ *Alternate Interior *Alternate Exterior *Corresponding
*Angle Sum Theorem X 0 All angles in a triangle must add up to 180 0 120 + 20 = 140 120 0 20 0 180-140 = X X = 40 0 *Exterior Angle Criterion 60 0 X 0 60 0 60 0 x = 120 0 When you extend the line, you make a supplemental angle. So, if the interior part of the triangle is 60 0, then the exterior angle (or X) must be 120 0.
Properties of Exponents *Product of Powers X 4 = X X X X *Quotient of Powers *Power of Powers X 3 = X X X = 1 X 4 X X X X X (2x 4 ) 3 = 8x 12 Remember: to multiply the exponents *Negative Exponents 4-4 = 1 1 1 1 = 1 4 4 4 4 256 *Zero Exponents (X 4 ) 0 = 1 Remember: anything raised to the zero power is 1
Scientific Notation *Standard Form <--> Scientific Notation -- coefficient -- negative exponent -- positive exponent Operations w/ numbers in Scientific Notation *Square roots of perfect squares *Estimating square roots Square Roots
Expressions & Equations What is the value of expression 5x 2 ; when x = 3 Substitute in your value: 5(3) 2 Solve: 3 2 = 9 Multiply: 5(9) = 45 (Answer) Solve: 32 - n = 3n - 48n + 32 (Distributive Property) 32 - n = -45n + 32 (Combine Like Terms) +45n +45n (Move a term over by using inverse operations) 32 + 44n = 32-32 -32 (Move the other term over by using inverse operations) 44n = 0 (Divide by the coefficient - 44) n = 0 (Check your work by putting the answer 0 back into the problem.)
December 15, 2014 Unit 2c - Scientific Notation Standards: MCC8.EE.3, MCCG8.EE.4 MCC8.EE.1: Know and apply the properties of integer exponents to generate equivalent numerical expressions. MCC8.EE.2: Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that 2 is irrational. MCC8.EE.7: Solve linear equations in one variable including special cases. MCC8.EE.7a: Give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions. MCC8.EE.7b: Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms. MCC8.EE.3 - Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities, and to express how many times as much one is than the other. MCC8.EE.4 - Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. Get ready, get ready, get ready :-) Time to show what you know!! No Warm-up Midterm Exam Summarize - Student Led www.bowiemath.weebly.com Remind 101: (817)591-2023 with the message @bowie.
December 16, 2014 Some of you need to complete your midterm, while others are ready to move into the next unit (volume). So, if you have completed your midterm, please get a Crosswalk book from the front of the class and begin writing the notes for volume on page 236 and first 2 examples (pgs. 237-238) in your math composition notebook. If you need to complete your midterm, please clear your desk. Thank you! Warm-up Complete Midterm Begin Volume - very short unit Summarize - Student Led www.bowiemath.weebly.com Remind 101: (817)591-2023 with the message @bowie.
December 17, 2014 Unit 3 - Volume Standards: MCC8.G.9 MCC8.G.9: Know the formulas for the volume of cones, cylinders, and spheres and use them to solve real-world and mathematical problems. What is volume? How does it relate to area? Why do you need to know volume? Provide real-life scenarios. Warm-up Begin Volume - very short unit Summarize - Student Led www.bowiemath.weebly.com Remind 101: (817)591-2023 with the message @bowie.
Do you remember from sixth grade how you find the volume of a rectangular prism or a cube? How can you use that information to find the volume of a cone, cylinder or a sphere? Can you come up with a formula to find the volume of ANY cone, cylinder or a sphere?
To find the volume: Cylinder - ( r 2 h) Cone - (1/3 r 2 h) Sphere - (4/3 r 3 )
Using the formula ( r 2 h), what is the volume of a cylinder if the height is 3" and the diameter is 6"? Show all of your steps! r 2 h
December 18, 2014 Unit 3 - Volume Standards: MCC8.G.9 MCC8.G.9: Know the formulas for the volume of cones, cylinders, and spheres and use them to solve real-world and mathematical problems. Patricia wants to fill her volleyball with sand to see how much it will weigh. If the diameter of the volleyball is 9" and the height is 8." How much sand would it take to fill the volleyball? Warm-up Volume - very short unit Summarize - Student Led www.bowiemath.weebly.com Remind 101: (817)591-2023 with the message @bowie.
Let's practice! Use the following dimensions to find the volume of a cone, cylinder and a sphere. All units are in feet. 1.) radius = 2.15; height = 7.8 2.) diameter = 6; height = 3 3.) diameter = 3; height 4 Formulas Cylinder - ( r 2 h) Cone - (1/3 r 2 h) Sphere - (4/3 r 3 )
Unit 3 - Volume Standards: MCC8.G.9 MCC8.G.9: Know the formulas for the volume of cones, cylinders, and spheres and use them to solve real-world and mathematical problems. I have a couple of mathematics videos for you to enjoy! Thank you for being wonderful students. Have a fun and safe holiday break! Warm-up Mathmagic Land Mathmaticous Summarize - Student Led www.bowiemath.weebly.com Remind 101: (817)591-2023 with the message @bowie.