Mathematics Specialist Yr11 by Texas Instruments

Students develop an understanding of concepts, build techniques and solve applied problems involving combinatorics, geometry, trigonometry, complex numbers, vectors, matrices, calculus and statistics. Students use mathematical and statistical reasoning, choose and apply technology appropriately and develop a capacity to communicate in a concise and systematic manner using appropriate mathematical and statistical language.

For more information on the WACE Specialist Mathematics course, visit the SCSA website.

WA: Mathematics Specialist Yr11 Classroom Activities	Download
Vectors in the Plane
Vectors In Component Form Students experiment with an interactive 2 dimensional vector and observe the corresponding changes to its representation in i and j component form.	Download111
Scalar Resolute (Vectors) Understand the concept of scalar resolute, generate and use the formula for scalar resolute and solve related problems. Students learn how to define vectors in terms of matrices, calculate the dot product and magnitude required for the scalar resolute.	Download80
Real and Complex Numbers
Squares and Cubes How much mathematics can be generated from a single image? This activity looks at two different number sequences that can be identified directly from the diagram. The challenge is to then prove that this relationship holds true for all positive integers.	Download65
Trigonometry
Unit Circle Sine Students explore an animated unit circle, looking for patterns. The interactive content allows students to control the level of assistance when answering questions. To understand relationships such as –sin(x)=sin(-x) switch the hint on to see a triangle with its corresponding reflection. The graph of sin(x) is broken into four parts to align with each quadrant of the unit circle and finally, exact angles are reviewed.	Download155
Biorhythms Students use trigonometric functions to model biorhythmic activity. Whilst the psuedo science of biorhythms equates approximately to astrology, the activity content is applicable to graphing simple trigonometric functions involving only transformations. The alignment of days helps students understand the period of the function.	Download1,790
Pendulum Swing – Part 1 Students use a motion detector (CBR) and pendulum (fishing float) to collect data for the motion of a pendulum. The quality of the data never ceases to amaze students and teachers. Students align practical knowledge, logic and familiarity with the various parameters to transform a basic trigonometric function into a model for a pendulum.	Download67
Matrices
Matrices - Act 1 This self-directed task uses the CAS functionality of TI-nspire to determine rules for adding and subtracting matrices with the same dimensions, including confirmation of the associative and commutative law for addition. Students are then guided to investigate adding and subtracting matrices with different dimensions.	Download34
Matrices Act 2 This self-directed task uses the CAS functionality of TI-nspire to determine rules for multiplying matrices with varying dimensions, including exploration of the commutative law for multiplication. A Power Point presentation is also provided for teachers to illustrate or review the multiplication steps for 2 x 2 matrices.	Download36
Solving with matrices Students use Row-Reduction in matrices to solve simultaneous equations. Simultaneous equations with no solutions and infinitely many solutions are explored using matrices and graphs.	Download42

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Vectors In Component Form

Scalar Resolute (Vectors)

Squares and Cubes

Unit Circle Sine

Biorhythms

Pendulum Swing – Part 1

Matrices - Act 1

Matrices Act 2

Solving with matrices

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