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Classroom Activities Author Level Technology

Complex Spirals

In this short focused investigation students explore what happens when a complex number is repeatedly raised to a power. Students then move onto Partial Sums and some of the geometry involved. 
  • Aust Senior
  • TI-Nspire™ CX CAS
12

Functions Inverses SFI

Watch Activity Tutorial

Students explore a range of functions and determine their inverses, explore points of intersection, domain and range. The investigation aims to dispel some myths with regards to points of intersection.

  • Aust Senior
  • TI-Nspire™ CX CAS
19

Cubes and Squares

What is the relationship between the sums of whole numbers and the sums of cubed numbers? The PowerPoint slide show makes this connection in a very powerful visual way. Students then use their calculator to explore and finally prove the result by induction.
  • Aust Senior
    2

    Tetrahedral Numbers

    This activity extends upon the triangular numbers. The tetrahedral numbers are inclusive of the triangular numbers, can also be found in Pascal's triangle, can be represented visually and provide a wealth of opportunities through inductive proof.
    • Aust Senior
      0

      Triangular Numbers

      Introduction to Induction - In this activity students establish formulas for the triangular numbers through visuals, numeric representations and Pascals Triangle. These are all observations, at the conclusion of the activity students prove their formula is true for all values of n. 
      • Aust Senior
        2

        Great Expectations

        This activity uses a combination of simulation and simple probability tree diagrams to explore a set of dice with some unusual characteristics. Grime Dice, created by Dr. James Grime are used in the initial investigation, however teachers are encouraged to also consider other similar dice. (Efron) The activity also has the opportunity to discuss sampling and sampling distributions at the Teacher's discretion. 
        • Aust Senior
          6

          Probable Factors

          What is the probability a randomly generated quadratic will factorise? This investigation looks at a substantially reduced set of equations. Dice are used to determine the coefficients. The investigation starts by using a simulation and reducing the set further by considering integer factors. The activity is a wonderful mix of algebra and probability, with extension options available for sampling distributions. A great option for a Problem Solving and Modelling Task.
          • Aust Senior
          • TI-Nspire™ CX
          11

          Personal Polynomials

          Watch Activity Tutorial

          If A = 1, B = 2 ... your name could be converted into numbers and described as a function, your Personal Polynomial. What does your polynomial look like? Students find their own personal polynomial and then study its properties. They set up and use simultaneous equations to find their polynomial, the bisection method to locate x-axis intercepts and transformations to compare others. Palindromic names create polynomials with an axis of symmetry. Is it possible for two names to generate the same polynomial, Alex(x) compared with Alexander(x)? A guided exploration task that will run over several lessons.

          • Aust Senior
          • TI-84 Plus CE
          35

          Personal Polynomials

          Watch Activity Tutorial

          If A = 1, B = 2 ... your name could be converted into numbers and described as a function, your Personal Polynomial. What does your polynomial look like? Students find their own personal polynomial and then study its properties. They set up and use simultaneous equations to find their polynomial, the bisection method to locate x-axis intercepts and transformations to compare others. Palindromic names create polynomials with an axis of symmetry. Is it possible for two names to generate the same polynomial, Alex(x) compared with Alexander(x)? A guided exploration task that will run over several lessons.

          • Aust Senior
          • TI-Nspire™ CX
          19

          Personal Polynomials

          Watch Activity Tutorial

          If A = 1, B = 2 ... your name could be converted into numbers and described as a function, your Personal Polynomial. What does your polynomial look like? Students find their own personal polynomial and then study its properties. They set up and use simultaneous equations to find their polynomial, the bisection method to locate x-axis intercepts and transformations to compare others. Palindromic names create polynomials with an axis of symmetry. Is it possible for two names to generate the same polynomial, Alex(x) compared with Alexander(x)? A guided exploration task that will run over several lessons.

          • Aust Senior
          • TI-Nspire™ CX CAS
          72

          Home Loans

          A home loan is one of the biggest financial commitments any one of us is likely to make, so it makes perfect sense to understand how they work. This activity has students generating their own home loan simulator using the lists and formulas on the TI-30X Plus MathPrint calculator. After generating a 12 month simulation, students use formulas to generate tables of values to help understand how repayments and changing repayments can affect interest and save money.
          • Aust Senior
            11

            Declining Balance

            Price is what you pay, value is what you get. [Warren Buffet] When it comes to finance, value is not what you assign, rather what someone else is prepared to pay, if that amount is less than you paid, then the object has depreciated. The rate at which something depreciates is often based its current value, this is called the declining balance method.

            This activity includes a video tutorial.

            • Aust Senior
              3

              Linear Regression Journey

              In this activity model a linear relationship by fitting an appropriate line of best fit to a scatterplot and using it to describe and quantify associations related to time and altitude for a weather balloon. Students make predictions based on the model and check them using the associated video.

              This activity includes a video tutorial.

              • Aust Senior
                6

                Z Scores

                Students calculate and compare z-scores in a range of contexts to solve problems. This activity includes video support resources. 
                • Aust Senior
                  5

                  String Graphs Part3

                  This is part three of a four part series. In this activity students find the points of intersection between consecutive straight lines. (Simultaneous Equations). Students use a range of techniques: by-hand, graphically and using CAS. Students then formulate equations to summaries the consecutive points of intersection. 
                    • TI-Nspire™ CX CAS
                    • TI-Nspire™ CAS
                    0