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Professional Development Courses for Educators.
Today&s students differ greatly from each other and their learning needs vary more dramatically than ever! These differences are wide ranging and are being identified earlier. Such classroom disparities require all educators to think differently about t educators have been differentiating for ages. This class is intended to move you from where you are now (beginner. proficient. advanced) in the procedures of differentiation, to the next level essential for success.
You will learn how to implement differentiation properly to emphasize shared responsibility between teacher and student, because the brain that does the work is the brain that learns! Differentiation and the Brain (the text) is a great introduction into how research supports the use of differentiated learning opportunities for all classrooms.& The text is not bogged down with statistical data but rather is explained in user-friendly terms.& This will be a go-to resource for years to come!& Once you start, you will be hooked forever!& This course is appropriate for educators at all levels K-12.& Learn to teach differently and smarter, not harder ! Join me on an adventure to learn how to manage and establish a differentiated classroom.
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by David A. Sousa, Carol Ann Tomlinson
Solution Tree
MATERIALS FEE
Text, Differentiation and the Brain: How Neuroscience Supports the Learner-Friendly Classroom, costs approximately $20 from Amazon.com
Testimonials
Brenda McKinney is an excellent instructor. Her feedback was valuable and practical. I've been taking education classes since 1985 and Brenda's instruction will positively impact the way I teach.
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Quarter&Credits 6Singapore Additional Mathematics Curriculum (Scope And Sequence) For 9th Grade And 10th Grade / Secondary 3 And Secondary 4 / GCE O Level - SGBox.comUSDSGDfollow us Singapore Additional Mathematics Curriculum (Scope And Sequence) For 9th Grade And 10th Grade / Secondary 3 And Secondary 4 / GCE O LevelOur
are written in English and based on the Singapore Additional Math curriculum for 9th Grade And 10th Grade / Secondary 3 And Secondary 4, which covers the following topics. If your child uses our
and , he will be able to: (Some of the following symbols may not display properly.) Set language and notation
use set language and notation, and Venn diagrams to describe sets and represent relationships between sets as follows:
A = {x: x is a natural number} B = {(x, y): y = mx + c} C = {x: a & x & b } D = {a, b, c,. . . }
understand and use the notation for the following :
Union of A and B Intersection of A and B Number of elements in set A ". . . is an element of . . ." ". . . is not an element of . . ." Complement of set A The empty set Universal set A is a subset of B A is a proper subset of B A is not a subset of B A is not a proper subset of B
understand the terms function, domain, range (image set), one-one function, inverse function and composition of functions use the notation f(x) = sin x, f: x --& lg x, (x & 0), f -1(x) and f2 (x) [=f(f(x))] understand the relationship between y = f(x) and y = | f(x) |, where f(x) may be linear, quadratic or trigonometric explain in words why a given function is a function or why it does not have an inverse find the inverse of a one-one function and form composite functions use sketch graphs to show the relationship between a function and its inverse
Quadratic functions
find the maximum or minimum value of the quadratic function f : x --& ax2 + bx + c by any method use the maximum or minimum value of f(x) to sketch the graph or determine the range for a given domain know the conditions for f(x) = 0 to have (i) two real roots, (ii) two equal roots, (iii) and the related conditions for a given line to (i) intersect a given curve, (ii) be a tangent to a given curve, (iii) not intersect a given curve solve quadratic equations for real roots and find the solution set for quadratic inequalities
Indices and surds
perform simple operations with indices and with surds, including rationalising the denominator
Factors of polynomials
know and use the remainder and factor theorems find factors of polynomials solve cubic equations
Simultaneous equations
solve simultaneous equations in two unknowns with at least one linear equation
Logarithmic and exponential functions
know simple properties and graphs of the logarithmic and exponential functions including lnx and ex (series expansions are not required) know and use the laws of logarithms (including change of base of logarithms) solve equations of the form ax= b
Straight line graphs
interpret the equation of a straight line graph in the form y = m x + c transform given relationships, including y = axn and y = Abx, to straight line form and hence determine unknown constants by calculating the gradient or intercept of the transformed graph solve questions involving mid-point and length of line know and use the condition for two lines to be parallel or perpendicular
Circular measure
solve problems involving the arc length and sector area of a circle, including knowledge and use of radian measure
Trigonometry
know the six trigonometric functions of angles of any magnitude (sine, cosine, tangent, secant, cosecant, cotangent) understand amplitude and periodicity and the relationship between graphs of e.g. sin x and sin 2x draw and use the graphs of y = a sin(bx) + c, y = a cos(bx) + c, y = a tan(bx) + c, where a, b are positive integers and c is an integer use the relationships sin A / cos A = tan A, cos A / sin A = cot A, sin2 A + cos2 A = 1, sec2 A = 1 + tan2 A, cosec2 A = 1 + cot2 A, and solve simple trigonometric equations involving the six trigonometric functions and the above relationships (not including general solution of trigonometric equations) prove simple trigonometric identities
Permutations and combinations
recognise and distinguish between a permutation case and a combination case know and use the notation n!, (with 0! = 1), and the expressions for permutations and combinations of n items taken r at a time answer simple problems on arrangement and selection (cases with repetition of objects, or with objects arranged in a circle or involving both permutations and combinations, are excluded)
Binomial expansions
use the Binomial Theorem for expansion of (a + b)n for positive integral n use the general term (nr)an - r br, 0 & r & n (knowledge of the greatest term and properties of the coefficients is not required)
Vectors in 2 dimensions
use vectors in any form, e.g. (ab), p, ai - bj know and use position vectors and unit vectors find the magnitude of a vector. Add and subtract vectors and multiply vectors by scalars compose and resolve velocities use relative velocity including solving problems on interception (but not closest approach)
display information in the form of a matrix of any order and interpret the data in a given matrix solve problems involving the calculation of the sum and product (where appropriate) of two matrices and interpret the results calculate the product of a scalar quantity and a matrix use the algebra of 2 x 2 matrices (including the zero and identity matrix) calculate the determinant and inverse of a non-singular 2 x 2 matrix and solve simultaneous line equations
Differentiation and integration
understand the idea of a derived function use the notations f '(x), f "(x), dy/dx, d2y/dx2 [=d/dx(dy/dx)] use the derivatives of the standard functions xn (for any rational n), sin x, cos x, tan x, ex, lnx, together with constant multiples, sums and composite functions of these differentiate products and quotients of functions apply differentiation to gradients, tangents and normals, stationary points, connected rates of change, small increments and approximations and practical maxima and minima problems discriminate between maxima and minima by any method understand integration as the reverse process of differentiation integrate sums of terms in powers of x excluding 1/x integrate functions of the form (ax + b)n (excluding n = -1), eax+b, sin (ax + b), cos (ax + b) evaluate definite integrals and apply integration to the evaluation of plane areas apply differentiation and integration to kinematics problems that involve displacement, velocity and acceleration of a particle moving in a straight line with variable or constant acceleration, and the use of x-t and v-t graphs
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