Name: _______________________________ Name: _______________________________ Name: _______________________________ WICR WICR WICR Writing ~ Inquiry Collaboration ~ Reading Writing ~ Inquiry Collaboration ~ Reading Writing ~ Inquiry Collaboration ~ Reading Cornell Note-taking Checklist 1 pt - Lesson, title, date, “Points _/5”, highlighted & readable 1 pt - Definitions, examples, concepts, applications, neatness 1 pt - Level 2 & 3 questions are completed on left hand side 2 pts - Tool box & accurate, complete summary Cornell Note-taking Checklist Cornell Note-taking Checklist 1 pt - Lesson, title, date, “Points _/5”, highlighted & readable 1 pt - Definitions, examples, concepts, applications, neatness 1 pt - Level 2 & 3 questions are completed on left hand side 2 pts - Tool box & accurate, complete summary 1 pt - Lesson, title, date, “Points _/5”, highlighted & readable 1 pt - Definitions, examples, concepts, applications, neatness 1 pt - Level 2 & 3 questions are completed on left hand side 2 pts - Tool box & accurate, complete summary Costa’s Levels of Questions Costa’s Levels of Questions Costa’s Levels of Questions Level One Defining Describing Identifying Naming Listing Observing Reciting What is the definition… What do they have in common? Identify trig ratios of acute triangle. Name 5 different quadrilaterals. Make a table for the function… What is the longest side? State the quadratic. Level Two Analyzing What happens to the value of x if… Comparing Use the data to decide which… Contrasting How are … similar and … different? Grouping Group the polygons by common… Inferring Given… find the sequencing rule… Synthesizing Choose a value for the variable and describe the data table, graph, and application. Level Three Applying a principle Describe and use the … property Hypothesizing For x & y, what satisfies conditions... Imagining What must be true about the data… Judging If the rate is the same, will… why? Predicting What happens if the numerator… Speculating In a normal distribution can data be more than 3 standard deviations …How frequently… Level One Defining Describing Identifying Naming Listing Observing Reciting Level One What is the definition… What do they have in common? Identify trig ratios of acute triangle. Name 5 different quadrilaterals. Make a table for the function… What is the longest side? State the quadratic. Defining Describing Identifying Naming Listing Observing Reciting What is the definition… What do they have in common? Identify trig ratios of acute triangle. Name 5 different quadrilaterals. Make a table for the function… What is the longest side? State the quadratic. Level Two Level Two Analyzing What happens to the value of x if… Comparing Use the data to decide which… Contrasting How are … similar and … different? Grouping Group the polygons by common… Inferring Given… find the sequencing rule… Synthesizing Choose a value for the variable and describe the data table, graph, and application. Analyzing What happens to the value of x if… Comparing Use the data to decide which… Contrasting How are … similar and … different? Grouping Group the polygons by common… Inferring Given… find the sequencing rule… Synthesizing Choose a value for the variable and describe the data table, graph, and application. Level Three Level Three Applying a principle Describe and use the … property Hypothesizing For x & y, what satisfies conditions... Imagining What must be true about the data… Judging If the rate is the same, will… why? Predicting What happens if the numerator… Speculating In a normal distribution can data be more than 3 standard deviations …How frequently… Applying a principle Describe and use the … property Hypothesizing For x & y, what satisfies conditions... Imagining What must be true about the data… Judging If the rate is the same, will… why? Predicting What happens if the numerator… Speculating In a normal distribution can data be more than 3 standard deviations …How frequently… Algebraic Formulas Algebraic Formulas Algebraic Formulas LINEAR FUNCTIONS… y – y1 Slope Formula m = 2 x2 – x1 Slope-Intercept Form y = mx + b Point-Slope Form y – y1 = m(x – x1) LINEAR FUNCTIONS… y – y1 Slope Formula m = 2 x2 – x1 Slope-Intercept Form y = mx + b Point-Slope Form y – y1 = m(x – x1) LINEAR FUNCTIONS… y – y1 Slope Formula m = 2 x2 – x1 Slope-Intercept Form y = mx + b Point-Slope Form y – y1 = m(x – x1) Standard Form Ax + By = C Standard Form Ax + By = C Standard Form Ax + By = C QUADRATIC EQUATIONS… QUADRATIC EQUATIONS… QUADRATIC EQUATIONS… 2 2 2 Standard Form ax + bx + c = 0 Quadratic Formula 2 Standard Form ax + bx + c = 0 Quadratic Formula 2 Standard Form ax + bx + c = 0 Quadratic Formula 2 (=0) 1solution; (<0) no solution (=0) 1solution; (<0) no solution (=0) 1solution; (<0) no solution AREA of a… AREA of a… AREA of a… x = – b± b – 4ac 2a b Line of Symmetry x = – (avg. of the 2 zeros) 2a 2 Discriminant b – 4ac if…(>0) 2 solutions; A = 1 bh 2 Trapezoid A = 1(b1 + b2)h 2 2 Circle A = r A = 1 bh 2 Trapezoid A = 1(b1 + b2)h 2 2 Circle A = r Triangle 2 Cube S = 6s ; V = s SURFACE AREA; VOLUME of a… 3 2 Cube S = 6s ; V = s 2 2 Cylinder S = 2r h + 2r ; V = Bh S = rl + r ; V = 1 Bh 3 2 Cone OTHER… 3 Cube S = 6s ; V = s 2 Cylinder S = 2r h + 2r ; V = Bh Cone Triangle SURFACE AREA; VOLUME of a… 3 x = – b± b – 4ac 2a b Line of Symmetry x = – (avg. of the 2 zeros) 2a 2 Discriminant b – 4ac if…(>0) 2 solutions; A = 1 bh 2 Trapezoid A = 1(b1 + b2)h 2 2 Circle A = r Triangle SURFACE AREA; VOLUME of a… 2 x = – b± b – 4ac 2a b Line of Symmetry x = – (avg. of the 2 zeros) 2a 2 Discriminant b – 4ac if…(>0) 2 solutions; Cylinder S = 2r h + 2r ; V = Bh S = rl + r ; V = 1 Bh 3 2 Cone S = rl + r ; V = 1 Bh 3 2 OTHER… OTHER… Percent (is/of) part = percent (%/100) Percent (is/of) part = percent (%/100) Percent (is/of) part = percent (%/100) Direct Variation y=kx Interest I=Prt Direct Variation y=kx Interest I=Prt Direct Variation y=kx Interest I=Prt whle 100 Compound Interest A = P I + r n Distance Formula d = (x2 Distance Traveled d = rt 2 – x1 ) 2 whle nt 2 Pythagorean Theorem a + b = c + (y2 2 100 Compound Interest A = P I + r n – y1 ) 2 Distance Formula d = (x2 Distance Traveled d = rt 2 – x1 ) 2 whle nt 2 Pythagorean Theorem a + b = c + (y2 2 100 Compound Interest A = P I + r n – y1 ) 2 Distance Formula d = (x2 Distance Traveled d = rt 2 – x1 ) 2 nt 2 Pythagorean Theorem a + b = c + (y2 2 – y1 ) 2 Geometry Formulas Geometry Formulas Slope-Intercept Form y = mx + b Point-Slope Form y – y1 = m(x – x1) y – y1 Slope Formula m = 2 x2 – x1 Slope-Intercept Form y = mx + b Point-Slope Form y – y1 = m(x – x1) y – y1 Slope Formula m = 2 x2 – x1 2 Distance Formula d = (x2 – x1 ) + (y2 Angle Sum of an n-gon 180 °(n – 2) Midpoint Formula M= x1 + x2 – y1 ) 2 y1 + y2 2 2 Geometry Formulas 2 Distance Formula d = (x2 – x1 ) + (y2 Angle Sum of an n-gon 180 °(n – 2) Midpoint Formula M= x1 + x2 Slope-Intercept Form y = mx + b Point-Slope Form y – y1 = m(x – x1) y – y1 Slope Formula m = 2 x2 – x1 – y1 ) 2 y1 + y2 2 2 2 Distance Formula d = (x2 – x1 ) + (y2 Angle Sum of an n-gon 180 °(n – 2) Midpoint Formula M= x1 + x2 – y1 ) 2 y1 + y2 2 2 Trig Ratios Sin: S=O/H, Cos: C=A/H, Tan: T=O/A Trig Ratios Sin: S=O/H, Cos: C=A/H, Tan: T=O/A Trig Ratios Sin: S=O/H, Cos: C=A/H, Tan: T=O/A AREA of a… AREA of a… AREA of a… Trapezoid A = 1(b1 + b2)h 2 Rhombus & Kite A = 1 d1d2 2 Regular Polygon A = 1 aP 2 Trapezoid A = 1(b1 + b2)h 2 Rhombus & Kite A = 1 d1d2 2 Regular Polygon A = 1 aP 2 Trapezoid A = 1(b1 + b2)h Apothem: (a) distance from the center of a polygon to a perpendicular side. Apothem: (a) distance from the center of a polygon to a perpendicular side. Apothem: (a) distance from the center of a polygon to a perpendicular side. SURFACE AREA; VOLUME of a… SURFACE AREA; VOLUME of a… SURFACE AREA; VOLUME of a… Prism S = Ph + 2B ; V = Bh Prism S = Ph + 2B ; V = Bh Prism S = Ph + 2B ; V = Bh 2 3 2 Cube S = 6s ; V = s 2 Rhombus & Kite A = 1 d1d2 2 Regular Polygon A = 1 aP 2 3 2 Cube S = 6s ; V = s 2 3 Cube S = 6s ; V = s 2 2 Cylinder S = 2r h + 2r ; V = Bh Cylinder S = 2r h + 2r ; V = Bh Cylinder S = 2r h + 2r ; V = Bh Pyramid S = 1 Pl + B ; V = 1 Bh Pyramid S = 1 Pl + B ; V = 1 Bh Pyramid S = 1 Pl + B ; V = 1 Bh Cone S = rl + r ; V = 1 Bh 3 2 3 4 Sphere S = 4r ; V = r 3 Cone S = rl + r ; V = 1 Bh 3 2 3 4 Sphere S = 4r ; V = r 3 2 3 2 2 2 2 Pythagorean Theorem a + b = c Special Right Triangles: 3 2 3 1 Cone S = rl + r ; V = Bh 3 2 3 4 Sphere S = 4r ; V = r 3 2 2 2 2 Pythagorean Theorem a + b = c Special Right Triangles: 2 2 2 2 Pythagorean Theorem a + b = c Special Right Triangles: 2 30-60-90 45-45-90 30-60-90 45-45-90 30-60-90 45-45-90 H=2SL; H=2LL; SL=1/2H; SL=1/2H; H=L 2 H=2SL; H=2LL; SL=1/2H; SL=1/2H; H=L 2 H=2SL; H=2LL; SL=1/2H; SL=1/2H; H=L 2 SL=LL/ 3 ; LL=1/2H 3 ; LL=SL 3 L=H/ 2 s 2s s 3 s 2 s s SL=LL/ 3 ; LL=1/2H 3 ; LL=SL 3 L=H/ 2 s 2s s 3 s 2 s s SL=LL/ 3 ; LL=1/2H 3 ; LL=SL 3 L=H/ 2 s 2s s 3 s 2 s s Pre-Algebraic Formulas Pre-Algebraic Formulas Pre-Algebraic Formulas ALGEBRAIC FORMULAS… Percent part = percent OR is = % whole 100 of 100 % of change amount of change = % of change original amount Commission commission rate•sales=commission Simple Interest I=Prt nt Compound Interest A = P I + r ALGEBRAIC FORMULAS… Percent part = percent OR is = % whole 100 of 100 % of change amount of change = % of change original amount Commission commission rate•sales=commission Simple Interest I=Prt nt Compound Interest A = P I + r ALGEBRAIC FORMULAS… Percent part = percent OR is = % whole 100 of 100 % of change amount of change = % of change original amount Commission commission rate•sales=commission Simple Interest I=Prt nt Compound Interest A = P I + r Slope Formula m = rise = y2 – y1 Slope Formula m = rise = y2 – y1 Slope Formula m = rise = y2 – y1 Slope-Intercept Form y = mx + b Direct Variation y=kx Slope-Intercept Form y = mx + b Direct Variation y=kx Slope-Intercept Form y = mx + b Direct Variation y=kx AREA of a… Rectangle A = lw Parallelogram A = bh AREA of a… Rectangle A = lw Parallelogram A = bh AREA of a… Rectangle A = lw Parallelogram A = bh n x2 – x1 run x2 – x1 run 1 n 1 Triangle A = 2 bh Trapezoid A = 1(b1 + b2)h 2 Triangle A = 2 bh Trapezoid A = 1(b1 + b2)h 2 2 n x2 – x1 run 1 Triangle A = 2 bh Trapezoid A = 1(b1 + b2)h 2 2 2 Circle A = r Circle A = r Circle A = r OTHER GEOMETRIC FORMULAS… Perimeter of Parallelogram P = 2w + 2l Perimeter of Polygon P = sum of all sides Diameter of a Circle d = 2r OTHER GEOMETRIC FORMULAS… Perimeter of Parallelogram P = 2w + 2l Perimeter of Polygon P = sum of all sides Diameter of a Circle d = 2r OTHER GEOMETRIC FORMULAS… Perimeter of Parallelogram P = 2w + 2l Perimeter of Polygon P = sum of all sides Diameter of a Circle d = 2r Circumference of a Circle C = r 2 2 2 Pythagorean Theorem a + b = c Circumference of a Circle C = r 2 SURFACE AREA; VOLUME of a… Prism S = Ph + 2B ; V = Bh 2 3 2 2 Pythagorean Theorem a + b = c Circumference of a Circle C = r 2 SURFACE AREA; VOLUME of a… Prism S = Ph + 2B ; V = Bh 2 Cube S = 6s ; V = s 2 3 2 Pythagorean Theorem a + b = c 2 SURFACE AREA; VOLUME of a… Prism S = Ph + 2B ; V = Bh 2 Cube S = 6s ; V = s 2 2 2 3 Cube S = 6s ; V = s 2 2 Cylinder S = 2r h + 2r ; V = Bh Cylinder S = 2r h + 2r ; V = Bh Cylinder S = 2r h + 2r ; V = Bh SYMBOLS… < Less than ≤ Less than or equal to > Greater than ≥ Greater than or equal to – negative square root square root ≈ about/almost/approx.. π pi ≈ 3.14 |-3| absolute value of negative three = 3 SYMBOLS… < Less than ≤ Less than or equal to > Greater than ≥ Greater than or equal to – negative square root square root ≈ about/almost/approx.. π pi ≈ 3.14 |-3| absolute value of negative three = 3 SYMBOLS… < Less than ≤ Less than or equal to > Greater than ≥ Greater than or equal to – negative square root square root ≈ about/almost/approx.. π pi ≈ 3.14 |-3| absolute value of negative three = 3
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