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MATHBITSNOTEBOOK
Common Core On-Line Study Mathematical Resources for High School Students. CCSS Algebra 1, CCSS Geoemtry, other levels to follow. GEOMETRY AND DENSITY PRACTICE An older method of estimating body fat percentage was to measure a person's average density (total mass divided by total volume), and apply a formula to convert to a body fat percentage. Formula: BF = (4.57/ p - 4.142) x 100. where BF = body fat and p = density in g/cm3. A man weighs 175 pounds. GEOMETRIC RULES QUICK REFERENCE First a few words that refer to types of geometric "rules": • A theorem is a statement (rule) that has been proven true using facts, operations and other rules that are known to be true. These are usually the "big" rules of geometry. A short theorem referring to a "lesser" rule is called a lemma. • A corollary is a follow-up to an existing proven theorem. FORMULAS FOR ANGLES IN CIRCLES A central angle is an angle formed by two radii with the vertex at the center of the circle. Central Angle = Intercepted Arc. In the diagram at the right, ∠AOB is a central angle with an intercepted minor arc from A to B. m∠AOB = 82º. In a circle, or congruent circles, congruent central angles have congruent arcs. PROBABILITY INVOLVING AND AND OR The rule for OR must take into account values that may get counted more than once where the sets overlap. In the first version, this overlap is dealt with when finding n(A or B). In the second version, this overlap is dealt with in the subtraction of the intersection, P(A and B). If sets A and B are mutually exclusive (no elements in common), P(A and B) = 0, PRACTICE WITH VOLUME (C) A smaller cone of base radius 4 inches and height of 12 inches is cut off the top. The remaining bottom section of the original cone which is left behind is called a frustum. Not drawn to scale. a) Find the volume of the frustum. Leave answer in terms of π. Choose: 64π cu.in. 448π cu. in.
TRIGONOMETRY
Trigonometry - Word Problems - MathBitsNotebook (Geo - CCSS Math) Trigonometry's connection to measurement places it in the learner's manuals for a wide variety of professions. Carpenters, construction workers, designers, architects, and engineers, to name a few, deal with measurements, and as such, they deal with triangle measures, or WHICH METHOD TO SOLVE A QUADRATIC EQUATION Using a graph to determine the roots (x-intercepts) of a quadratic equation may prove to be a difficult process.If you are graphing by hand, it may be hard to find the exact x-intercepts (the roots), especially when the x-intercepts are not integer values.If you must rely on graphing to solve a quadratic equation, use a graphing utility with the capability of finding the decimal values (or PRACTICE WITH MARGIN OF ERROR A drug company is testing a new cold medication for children. The average child's cold symptoms last for 7 days. The company tested 500 children with a cold and found that 250 of them shortened their cold symptoms when taking the new drug. REGENTS EXAMINATION IN GEOMETRY (COMMON CORE) SAMPLE ITEMS With the adoption of the New York P-12 Common Core Learning Standards (CCLS) in ELA/Literacy and Mathematics, the Board of Regents signaled a shift in both instruction and assessment.MATHBITSNOTEBOOK
Common Core On-Line Study Mathematical Resources for High School Students. CCSS Algebra 1, CCSS Geoemtry, other levels to follow. GEOMETRY AND DENSITY PRACTICE An older method of estimating body fat percentage was to measure a person's average density (total mass divided by total volume), and apply a formula to convert to a body fat percentage. Formula: BF = (4.57/ p - 4.142) x 100. where BF = body fat and p = density in g/cm3. A man weighs 175 pounds. GEOMETRIC RULES QUICK REFERENCE First a few words that refer to types of geometric "rules": • A theorem is a statement (rule) that has been proven true using facts, operations and other rules that are known to be true. These are usually the "big" rules of geometry. A short theorem referring to a "lesser" rule is called a lemma. • A corollary is a follow-up to an existing proven theorem. FORMULAS FOR ANGLES IN CIRCLES A central angle is an angle formed by two radii with the vertex at the center of the circle. Central Angle = Intercepted Arc. In the diagram at the right, ∠AOB is a central angle with an intercepted minor arc from A to B. m∠AOB = 82º. In a circle, or congruent circles, congruent central angles have congruent arcs. PROBABILITY INVOLVING AND AND OR The rule for OR must take into account values that may get counted more than once where the sets overlap. In the first version, this overlap is dealt with when finding n(A or B). In the second version, this overlap is dealt with in the subtraction of the intersection, P(A and B). If sets A and B are mutually exclusive (no elements in common), P(A and B) = 0, PRACTICE WITH VOLUME (C) A smaller cone of base radius 4 inches and height of 12 inches is cut off the top. The remaining bottom section of the original cone which is left behind is called a frustum. Not drawn to scale. a) Find the volume of the frustum. Leave answer in terms of π. Choose: 64π cu.in. 448π cu. in.
TRIGONOMETRY
Trigonometry - Word Problems - MathBitsNotebook (Geo - CCSS Math) Trigonometry's connection to measurement places it in the learner's manuals for a wide variety of professions. Carpenters, construction workers, designers, architects, and engineers, to name a few, deal with measurements, and as such, they deal with triangle measures, or WHICH METHOD TO SOLVE A QUADRATIC EQUATION Using a graph to determine the roots (x-intercepts) of a quadratic equation may prove to be a difficult process.If you are graphing by hand, it may be hard to find the exact x-intercepts (the roots), especially when the x-intercepts are not integer values.If you must rely on graphing to solve a quadratic equation, use a graphing utility with the capability of finding the decimal values (or PRACTICE WITH MARGIN OF ERROR A drug company is testing a new cold medication for children. The average child's cold symptoms last for 7 days. The company tested 500 children with a cold and found that 250 of them shortened their cold symptoms when taking the new drug. REGENTS EXAMINATION IN GEOMETRY (COMMON CORE) SAMPLE ITEMS With the adoption of the New York P-12 Common Core Learning Standards (CCLS) in ELA/Literacy and Mathematics, the Board of Regents signaled a shift in both instruction and assessment. FORMULAS FOR ANGLES IN CIRCLES A central angle is an angle formed by two radii with the vertex at the center of the circle. Central Angle = Intercepted Arc. In the diagram at the right, ∠AOB is a central angle with an intercepted minor arc from A to B. m∠AOB = 82º. In a circle, or congruent circles, congruent central angles have congruent arcs. PROBABILITY INVOLVING AND AND OR The rule for OR must take into account values that may get counted more than once where the sets overlap. In the first version, this overlap is dealt with when finding n(A or B). In the second version, this overlap is dealt with in the subtraction of the intersection, P(A and B). If sets A and B are mutually exclusive (no elements in common), P(A and B) = 0, FOUR STEP STATISTICAL PROCESS AND BIAS Four-Step Statistical Process: 1. Plan (Ask a question): formulate a statistical question that can be answered with data. A good deal of time should be given to this step as it is the most important step in the process. 2. Collect (Produce Data): design and implement a plan to collect appropriate data. Data can be collected through numerous PRACTICE WITH ANGLES OUTSIDE THE CIRCLE Area of sector = 3.93/ (2 • pi • r) • area of circle. 2. Find the area of the sector shown at the right. The radius of the circle is 9 cm. and the central angle of the sector is 120º. Express the answer to the nearest tenth of a square centimeter. Hint: Find the fractional part of the circle by using 120/360. SEQUENCES AND WORD PROBLEMS- MATHBITSNOTEBOOK(A1 Sequences and Word Problems- MathBitsNotebook (A1 - CCSS Math) Directions: Read carefully. 1. The Greek theater shown at the right has 30 seats in the first row of the center section. Each row behind the first row gains two additional seats. How many seats are in the 5th row in the center section? MORE FEATURES OF FUNCTION GRAPHS More Features of Function Graphs - MathBitsNotebook (A1 - CCSS Math) If looking for Intercepts, Positive/Negative, and Increasing/Decreasing, see Function Features. "Turning Points". A "turning point" on a graph is a point at which the graph changes from increasing to decreasing (it looks like a "hill"), or from decreasingto increasing (it
POLYGON AREA PRACTICE Polygon Area Practice - MathBitsNotebook (Geo - CCSS Math) Directions: Grab a paper and pencil to make your computations. 1. Given equilateral triangle ABC QUADRATIC FUNCTION RATE OF CHANGE Take a look at this example where the value of "a" is not 1.Notice that the pattern becomes 2, 6, 10 (which is "a" times 1, 3, 5 since a = 2).The left side was graphed by reflecting the points plotted on the right side of the parabola over the line of symmetry, which in thisexample is x
PROJECTILE MOTION
Projectile Motion - MathBitsNotebook (A1 - CCSS Math) A projectile is an object that rises and falls under the influence of gravity, and projectile motion is the height of that object as a function of time. Projectile motion can be modeled by a quadratic function. Projectile motion involves objects that are dropped, thrown straight up, orMATHBITSNOTEBOOK
MathBitsNotebook - Common Core On-Line Study Resources forMATHBITSNOTEBOOK
Common Core On-Line Study Mathematical Resources for High School Students. CCSS Algebra 1, CCSS Geoemtry, other levels to follow. GEOMETRY AND DENSITY PRACTICE An older method of estimating body fat percentage was to measure a person's average density (total mass divided by total volume), and apply a formula to convert to a body fat percentage. Formula: BF = (4.57/ p - 4.142) x 100. where BF = body fat and p = density in g/cm3. A man weighs 175 pounds. GEOMETRY AND MODELING PRACTICE Geometry and Modeling Practice - MathBitsNotebook (Geo - CCSS Math) Directions: Read carefully and choose the best answer. You may access the following section of the PARCC reference sheet when solving these problems. Be sure to show your work. 1. A thermal insulating sleeve is used to cover the lateral surface of a hot water heater to help PRACTICE WITH VOLUME (C) A smaller cone of base radius 4 inches and height of 12 inches is cut off the top. The remaining bottom section of the original cone which is left behind is called a frustum. Not drawn to scale. a) Find the volume of the frustum. Leave answer in terms of π. Choose: 64π cu.in. 448π cu. in.
PRACTICE WITH ANGLES OUTSIDE THE CIRCLE Area of sector = 3.93/ (2 • pi • r) • area of circle. 2. Find the area of the sector shown at the right. The radius of the circle is 9 cm. and the central angle of the sector is 120º. Express the answer to the nearest tenth of a square centimeter. Hint: Find the fractional part of the circle by using 120/360.DILATION PRACTICE
Directions: Read carefully! 1. 2. Stanley had a poster made from a picture of his dog Tasha. The poster image is eight times the size of the picture. If the poster image is 120 cm. in height, what was the height of Stanley's original picture of Tasha (in centimeters)? 3. A model ATV is 8 inches long. After a dilation, the model is 2.4 incheslong.
PRACTICE SINE AND COSINE GRAPHS The angle of inclination of the sun changes throughout the year. This changing angle affects the heating and cooling of buildings. The overhang of the roof of a house is designed to shade the windows for cooling in the summer and allow the sun's rays to enter the house for heating in the winter. PRACTICE WITH MARGIN OF ERROR A drug company is testing a new cold medication for children. The average child's cold symptoms last for 7 days. The company tested 500 children with a cold and found that 250 of them shortened their cold symptoms when taking the new drug.MATHBITSNOTEBOOK
MathBitsNotebook - Common Core On-Line Study Resources for REGENTS EXAMINATION IN GEOMETRY (COMMON CORE) SAMPLE ITEMS With the adoption of the New York P-12 Common Core Learning Standards (CCLS) in ELA/Literacy and Mathematics, the Board of Regents signaled a shift in both instruction and assessment.MATHBITSNOTEBOOK
Common Core On-Line Study Mathematical Resources for High School Students. CCSS Algebra 1, CCSS Geoemtry, other levels to follow. GEOMETRY AND DENSITY PRACTICE An older method of estimating body fat percentage was to measure a person's average density (total mass divided by total volume), and apply a formula to convert to a body fat percentage. Formula: BF = (4.57/ p - 4.142) x 100. where BF = body fat and p = density in g/cm3. A man weighs 175 pounds. GEOMETRY AND MODELING PRACTICE Geometry and Modeling Practice - MathBitsNotebook (Geo - CCSS Math) Directions: Read carefully and choose the best answer. You may access the following section of the PARCC reference sheet when solving these problems. Be sure to show your work. 1. A thermal insulating sleeve is used to cover the lateral surface of a hot water heater to help PRACTICE WITH VOLUME (C) A smaller cone of base radius 4 inches and height of 12 inches is cut off the top. The remaining bottom section of the original cone which is left behind is called a frustum. Not drawn to scale. a) Find the volume of the frustum. Leave answer in terms of π. Choose: 64π cu.in. 448π cu. in.
PRACTICE WITH ANGLES OUTSIDE THE CIRCLE Area of sector = 3.93/ (2 • pi • r) • area of circle. 2. Find the area of the sector shown at the right. The radius of the circle is 9 cm. and the central angle of the sector is 120º. Express the answer to the nearest tenth of a square centimeter. Hint: Find the fractional part of the circle by using 120/360.DILATION PRACTICE
Directions: Read carefully! 1. 2. Stanley had a poster made from a picture of his dog Tasha. The poster image is eight times the size of the picture. If the poster image is 120 cm. in height, what was the height of Stanley's original picture of Tasha (in centimeters)? 3. A model ATV is 8 inches long. After a dilation, the model is 2.4 incheslong.
PRACTICE SINE AND COSINE GRAPHS The angle of inclination of the sun changes throughout the year. This changing angle affects the heating and cooling of buildings. The overhang of the roof of a house is designed to shade the windows for cooling in the summer and allow the sun's rays to enter the house for heating in the winter. PRACTICE WITH MARGIN OF ERROR A drug company is testing a new cold medication for children. The average child's cold symptoms last for 7 days. The company tested 500 children with a cold and found that 250 of them shortened their cold symptoms when taking the new drug.MATHBITSNOTEBOOK
MathBitsNotebook - Common Core On-Line Study Resources for REGENTS EXAMINATION IN GEOMETRY (COMMON CORE) SAMPLE ITEMS With the adoption of the New York P-12 Common Core Learning Standards (CCLS) in ELA/Literacy and Mathematics, the Board of Regents signaled a shift in both instruction and assessment. SEQUENCES AND WORD PROBLEMS- MATHBITSNOTEBOOK(A1 Sequences and Word Problems- MathBitsNotebook (A1 - CCSS Math) Directions: Read carefully. 1. The Greek theater shown at the right has 30 seats in the first row of the center section. Each row behind the first row gains two additional seats. How many seats are in the 5th row in the center section? VOLUME AND SURFACE AREA The number of cube faces seen in the face of the figure, comprise the area of the face of the figure. The new pattern is expressed as: Volume = (area of face) • (depth of face) = (4 • 2) • 2 = 16 square units. This will be a popular strategy to determine the volume of many solids. This pattern utilizes a "limiting argument" with thearea
GEOMETRIC RULES QUICK REFERENCE First a few words that refer to types of geometric "rules": • A theorem is a statement (rule) that has been proven true using facts, operations and other rules that are known to be true. These are usually the "big" rules of geometry. A short theorem referring to a "lesser" rule is called a lemma. • A corollary is a follow-up to an existing proven theorem. PRACTICE WITH BIG CIRCLES Practice with BIG Circles - MathBitsNotebook (Geo - CCSS Math) Directions: Read carefully! Do not assume the diagrams are drawn to scale. It may not be possible to find the missing angles in numerical order. 1. Find the measures of angles 1 through 8. Explanation. PROBABILITY INVOLVING AND AND OR The rule for OR must take into account values that may get counted more than once where the sets overlap. In the first version, this overlap is dealt with when finding n(A or B). In the second version, this overlap is dealt with in the subtraction of the intersection, P(A and B). If sets A and B are mutually exclusive (no elements in common), P(A and B) = 0, SIMILARITY PROOF PRACTICE Similarity Proof Practice - MathBitsNotebook (Geo - CCSS Math) Directions: Prepare a formal proof for each problem. While more than one method of proof may be possible, only one possible answer will be shown for each question. 1. POLYGON AREA PRACTICE Polygon Area Practice - MathBitsNotebook (Geo - CCSS Math) Directions: Grab a paper and pencil to make your computations. 1. Given equilateral triangle ABC BINOMIAL THEOREM PRACTICE Binomial Theorem Practice - MathBitsNotebook (A2 - CCSS Math) Directions: Work carefully! Mistakes can happen easily with all of these calculations. Binomial Theorem. (or Binomial Expansion Theorem) The rth term of the expansion of ( a + b) n is: 1. Using the binomial theorem, expand ( x + y) 6. PRACTICE WITH MARGIN OF ERROR A drug company is testing a new cold medication for children. The average child's cold symptoms last for 7 days. The company tested 500 children with a cold and found that 250 of them shortened their cold symptoms when taking the new drug.SCIENTIFIC NOTATION
Scientific notation is a shorthand method of expressing very large or very small numbers. Calculators, scientists and engineers find this base 10 method of expressing values to be very helpful, as it allows for very precise calculations.MATHBITSNOTEBOOK
Common Core On-Line Study Mathematical Resources for High School Students. CCSS Algebra 1, CCSS Geoemtry, other levels to follow. GEOMETRY AND DENSITY PRACTICE The average amount of pasture needed to feed mature mules is 1 acre per mule. A farm has three rectangular fenced pasture sections: 100 ft. by 300 ft., 150 ft. GEOMETRY AND MODELING PRACTICE MathBitsNotebook Geometry CCSS Lessons and Practice is a free site for students (and teachers) studying high school level geometry under the Common Core State Standards.DILATION PRACTICE
MathBitsNotebook Geometry CCSS Lessons and Practice is a free site for students (and teachers) studying high school level geometry under the Common Core State Standards. PRACTICE WITH VOLUME (C) The cone shown at the right is a right circular cone with a base radius of 8 inches. The cone is sliced parallel to the base. A smaller cone of base radius 4 inches and height of 12 inches is cut off thetop.
PRACTICE WITH BIG CIRCLES MathBitsNotebook Geometry CCSS Lessons and Practice is a free site for students (and teachers) studying high school level geometry under the Common Core State Standards. PRACTICE SINE AND COSINE GRAPHS The angle of inclination of the sun changes throughout the year. This changing angle affects the heating and cooling of buildings. The overhang of the roof of a house is designed to shade the windows for cooling in the summer and allow the sun's rays to enter the house for heating in the winter. PRACTICE WITH ANGLES OUTSIDE THE CIRCLE Find the area of the sector shown at the right. The radius of the circle is 5 units and the length of the minor arc from A to B is 3.93 units. Express the answer to the nearest tenth of a square unit.Choose:
PRACTICE WITH MARGIN OF ERROR A drug company is testing a new cold medication for children. The average child's cold symptoms last for 7 days. The company tested 500 children with a cold and found that 250 of them shortened their cold symptoms when taking the new drug.MATHBITSNOTEBOOK
MathBitsNotebook - Common Core On-Line Study Resources forMATHBITSNOTEBOOK
Common Core On-Line Study Mathematical Resources for High School Students. CCSS Algebra 1, CCSS Geoemtry, other levels to follow. GEOMETRY AND DENSITY PRACTICE The average amount of pasture needed to feed mature mules is 1 acre per mule. A farm has three rectangular fenced pasture sections: 100 ft. by 300 ft., 150 ft. GEOMETRY AND MODELING PRACTICE MathBitsNotebook Geometry CCSS Lessons and Practice is a free site for students (and teachers) studying high school level geometry under the Common Core State Standards.DILATION PRACTICE
MathBitsNotebook Geometry CCSS Lessons and Practice is a free site for students (and teachers) studying high school level geometry under the Common Core State Standards. PRACTICE WITH VOLUME (C) The cone shown at the right is a right circular cone with a base radius of 8 inches. The cone is sliced parallel to the base. A smaller cone of base radius 4 inches and height of 12 inches is cut off thetop.
PRACTICE WITH BIG CIRCLES MathBitsNotebook Geometry CCSS Lessons and Practice is a free site for students (and teachers) studying high school level geometry under the Common Core State Standards. PRACTICE SINE AND COSINE GRAPHS The angle of inclination of the sun changes throughout the year. This changing angle affects the heating and cooling of buildings. The overhang of the roof of a house is designed to shade the windows for cooling in the summer and allow the sun's rays to enter the house for heating in the winter. PRACTICE WITH ANGLES OUTSIDE THE CIRCLE Find the area of the sector shown at the right. The radius of the circle is 5 units and the length of the minor arc from A to B is 3.93 units. Express the answer to the nearest tenth of a square unit.Choose:
PRACTICE WITH MARGIN OF ERROR A drug company is testing a new cold medication for children. The average child's cold symptoms last for 7 days. The company tested 500 children with a cold and found that 250 of them shortened their cold symptoms when taking the new drug.MATHBITSNOTEBOOK
MathBitsNotebook - Common Core On-Line Study Resources for PRACTICE WITH BIG CIRCLES MathBitsNotebook Geometry CCSS Lessons and Practice is a free site for students (and teachers) studying high school level geometry under the Common Core State Standards. SIMILARITY PROOF PRACTICE MathBitsNotebook Geometry CCSS Lessons and Practice is a free site for students (and teachers) studying high school level geometry under the Common Core State Standards. SEQUENCES AND WORD PROBLEMS- MATHBITSNOTEBOOK(A1 The Greek theater shown at the right has 30 seats in the first row of the center section. Each row behind the first row gains two additionalseats.
PROBABILITY INVOLVING AND AND OR The rule for OR must take into account values that may get counted more than once where the sets overlap. In the first version, this overlap is dealt with when finding n(A or B). In the second version, this overlap is dealt with in the subtraction of the intersection, P(A and B). If sets A and B are mutually exclusive (no elements in common), P(A and B) = 0, GEOMETRIC RULES QUICK REFERENCE First a few words that refer to types of geometric "rules": • A theorem is a statement (rule) that has been proven true using facts, operations and other rules that are known to be true. These are usually the "big" rules of geometry. A short theorem referring to a "lesser" rule is called a lemma. • A corollary is a follow-up to an existing proven theorem. POLYGON AREA PRACTICE MathBitsNotebook Geometry CCSS Lessons and Practice is a free site for students (and teachers) studying high school level geometry under the Common Core State Standards. BINOMIAL THEOREM PRACTICE Algebra 2 CCSS Lessons and Practice is a free site for students (and teachers) studying a second year of high school algebra.SCIENTIFIC NOTATION
Scientific notation is a shorthand method of expressing very large or very small numbers. Calculators, scientists and engineers find this base 10 method of expressing values to be very helpful, as it allows for very precise calculations. EXPONENTIAL GROWTH AND DECAY PRACTICE MathBitsNotebook Algebra 1 CCSS Lessons and Practice is free site for students (and teachers) studying a first year of high school algebra. TRIANGLE INEQUALITY PRACTICE MathBitsNotebook Geometry CCSS Lessons and Practice is a free site for students (and teachers) studying high school level geometry under the Common Core State Standards.MATHBITSNOTEBOOK
Common Core On-Line Study Mathematical Resources for High School Students. CCSS Algebra 1, CCSS Geoemtry, other levels to follow. GEOMETRY AND DENSITY PRACTICE An older method of estimating body fat percentage was to measure a person's average density (total mass divided by total volume), and apply a formula to convert to a body fat percentage. Formula: BF = (4.57/ p - 4.142) x 100. where BF = body fat and p = density in g/cm3. A man weighs 175 pounds.MATHBITSNOTEBOOK
MathBitsNotebook - Geometry is a series of lesson and practice pages for students studying high school Geometry. These materials cover a variety of topics including all standards stated in the Common Core State Standards, and the NY Next Generation Standards for Mathematics. SEQUENCES AND WORD PROBLEMS- MATHBITSNOTEBOOK(A1 Sequences and Word Problems- MathBitsNotebook (A1 - CCSS Math) Directions: Read carefully. 1. The Greek theater shown at the right has 30 seats in the first row of the center section. Each row behind the first row gains two additional seats. How many seats are in the 5th row in the center section? EXPONENTIAL GROWTH AND DECAY PRACTICE 1. Given the equation: y = 50 (1.15) x. a) Does this equation represent exponential growth or decay? b) What is the initial value? c) What is the rate of growth or decay? d) What is the value of y (to the nearest tenth), when x = 3? 2. A citrus orchard has 180 orange trees. A fungus attacks the trees. PRACTICE WITH MARGIN OF ERROR A drug company is testing a new cold medication for children. The average child's cold symptoms last for 7 days. The company tested 500 children with a cold and found that 250 of them shortened their cold symptoms when taking the new drug.PROJECTILE MOTION
Projectile Motion - MathBitsNotebook (A1 - CCSS Math) A projectile is an object that rises and falls under the influence of gravity, and projectile motion is the height of that object as a function of time. Projectile motion can be modeled by a quadratic function. Projectile motion involves objects that are dropped, thrown straight up, or BINOMIAL PROBABILITY AT MOST AT LEAST Illustration: A bag contains 6 red Bingo chips, 4 blue Bingo chips, and 7 white Bingo chips. What is the probability of drawing a red Bingo chip at least 3 out of 5 times?Round answer to the nearest hundredth.. To solve this problem, we need to find the probabilitiesthat r
REGENTS EXAMINATION IN GEOMETRY (COMMON CORE) SAMPLE ITEMS With the adoption of the New York P-12 Common Core Learning Standards (CCLS) in ELA/Literacy and Mathematics, the Board of Regents signaled a shift in both instruction and assessment.MATHBITSNOTEBOOK
MathBitsNotebook - Common Core On-Line Study Resources forMATHBITSNOTEBOOK
Common Core On-Line Study Mathematical Resources for High School Students. CCSS Algebra 1, CCSS Geoemtry, other levels to follow. GEOMETRY AND DENSITY PRACTICE An older method of estimating body fat percentage was to measure a person's average density (total mass divided by total volume), and apply a formula to convert to a body fat percentage. Formula: BF = (4.57/ p - 4.142) x 100. where BF = body fat and p = density in g/cm3. A man weighs 175 pounds.MATHBITSNOTEBOOK
MathBitsNotebook - Geometry is a series of lesson and practice pages for students studying high school Geometry. These materials cover a variety of topics including all standards stated in the Common Core State Standards, and the NY Next Generation Standards for Mathematics. SEQUENCES AND WORD PROBLEMS- MATHBITSNOTEBOOK(A1 Sequences and Word Problems- MathBitsNotebook (A1 - CCSS Math) Directions: Read carefully. 1. The Greek theater shown at the right has 30 seats in the first row of the center section. Each row behind the first row gains two additional seats. How many seats are in the 5th row in the center section? EXPONENTIAL GROWTH AND DECAY PRACTICE 1. Given the equation: y = 50 (1.15) x. a) Does this equation represent exponential growth or decay? b) What is the initial value? c) What is the rate of growth or decay? d) What is the value of y (to the nearest tenth), when x = 3? 2. A citrus orchard has 180 orange trees. A fungus attacks the trees. PRACTICE WITH MARGIN OF ERROR A drug company is testing a new cold medication for children. The average child's cold symptoms last for 7 days. The company tested 500 children with a cold and found that 250 of them shortened their cold symptoms when taking the new drug.PROJECTILE MOTION
Projectile Motion - MathBitsNotebook (A1 - CCSS Math) A projectile is an object that rises and falls under the influence of gravity, and projectile motion is the height of that object as a function of time. Projectile motion can be modeled by a quadratic function. Projectile motion involves objects that are dropped, thrown straight up, or BINOMIAL PROBABILITY AT MOST AT LEAST Illustration: A bag contains 6 red Bingo chips, 4 blue Bingo chips, and 7 white Bingo chips. What is the probability of drawing a red Bingo chip at least 3 out of 5 times?Round answer to the nearest hundredth.. To solve this problem, we need to find the probabilitiesthat r
REGENTS EXAMINATION IN GEOMETRY (COMMON CORE) SAMPLE ITEMS With the adoption of the New York P-12 Common Core Learning Standards (CCLS) in ELA/Literacy and Mathematics, the Board of Regents signaled a shift in both instruction and assessment.MATHBITSNOTEBOOK
MathBitsNotebook - Common Core On-Line Study Resources forMATHBITSNOTEBOOK
MathBitsNotebook - Geometry is a series of lesson and practice pages for students studying high school Geometry. These materials cover a variety of topics including all standards stated in the Common Core State Standards, and the NY Next Generation Standards for Mathematics. SEQUENCES AND WORD PROBLEMS- MATHBITSNOTEBOOK(A1 Sequences and Word Problems- MathBitsNotebook (A1 - CCSS Math) Directions: Read carefully. 1. The Greek theater shown at the right has 30 seats in the first row of the center section. Each row behind the first row gains two additional seats. How many seats are in the 5th row in the center section? GEOMETRIC RULES QUICK REFERENCE First a few words that refer to types of geometric "rules": • A theorem is a statement (rule) that has been proven true using facts, operations and other rules that are known to be true. These are usually the "big" rules of geometry. A short theorem referring to a "lesser" rule is called a lemma. • A corollary is a follow-up to an existing proven theorem.TRIGONOMETRY
Trigonometry - Word Problems - MathBitsNotebook (Geo - CCSS Math) Trigonometry's connection to measurement places it in the learner's manuals for a wide variety of professions. Carpenters, construction workers, designers, architects, and engineers, to name a few, deal with measurements, and as such, they deal with triangle measures, or COMPLETE SQUARE PRACTICE MathBitsNotebook Algebra 1 CCSS Lessons and Practice is free site for students (and teachers) studying a first year of high school algebra. DOMAIN OF COMPOSITE FUNCTIONS- MATHBITSNOTEBOOK(A2 The domain of a composition will be those values which can "move through" to the end of the composition. The "obstacle" is whether all of the values created by g(x), in this case, can be "picked up" by function f (x). Algebraic Interpretation of this example: 1. Function g ( x) cannot pick up the value +2 since it creates a zerodenominator.
REFLECTION PRACTICE
The line of reflection is perpendicular to the segment connecting a pre-image point to its image. The line of reflection bisects the segment connecting a pre-image point to its image. The line of reflection intersects the segment connecting a pre-image point and its image at its midpoint. All of the above. 9. PRACTICE SINE AND COSINE GRAPHS The angle of inclination of the sun changes throughout the year. This changing angle affects the heating and cooling of buildings. The overhang of the roof of a house is designed to shade the windows for cooling in the summer and allow the sun's rays to enter the house for heating in the winter. BINOMIAL PROBABILITY AT MOST AT LEAST Illustration: A bag contains 6 red Bingo chips, 4 blue Bingo chips, and 7 white Bingo chips. What is the probability of drawing a red Bingo chip at least 3 out of 5 times?Round answer to the nearest hundredth.. To solve this problem, we need to find the probabilitiesthat r
SEQUENCE OF TRANSFORMATIONS ON FUNCTIONS Consider the problem f (x) = 2(x + 3) - 1. The parent function is f (x) = x, a straight line. It can be seen that the parentheses of the function have been replaced by x + 3, as in f (x + 3) = x + 3. This is a horizontal shift of three units to the left from the parent function.. The multiplication of 2 indicates a vertical stretch of 2, which will cause to line to rise twice as fast as the•
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