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Classroom Activities Author Level Technology

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
7

Personal Polynomials

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
18

Personal Polynomials

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
6

Personal Polynomials

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
31

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
        5

        Z Scores

        Students calculate and compare z-scores in a range of contexts to solve problems. This activity includes video support resources. 
        • Aust Senior
          4

          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

            String Graphs Part2

            This is part two of a four part series. In this activity students are given two points that lie on a straight line, they determine the equation for each line that eventually forms a curved envelope that forms a parabola. In the second half of this activity students learn to use a parameter so that the family of graphs can be generated using a single equation.
              • TI-Nspire™ CX CAS
              7

              String Graphs Part1

              This is part one of a four part series. In this activity students use the gradient and intercept form of a straight line to form a curved envelope similar to that found on the Chords bridge. In the second half of this activity students learn to use a parameter so that the family of graphs can be generated using a single equation.
                • TI-Nspire™ CX CAS
                6

                Median Smoothing

                Median smoothing, more interesting than your average graph. While most median smoothing questions relate to graphs, this activity focuses on an application embedded in digital image enhancement. Students are supplied with a digital image of an old photograph. The original photograph has deteriorated but can be automatically improved by applying various levels of median smoothing. Check it out! 
                • Aust Senior
                • TI-Nspire™ CX CAS
                • TI-Nspire™ CX
                12

                Ranger Introduction

                Have you ever wondered how a car reverse sensor works? In this activity you will build a reverse sensor that provides audible and visual signals when an object becomes too close.  
                • Middle
                • TI-Nspire™ CX
                • TI-Nspire™ CX CAS
                0

                Stem and Leaf Plots

                What is a Stem and Leaf plot and how can you generate them on your TI-nspire? This activity includes a range of data that can be plotted on Stem and Leaf plots. Students are required to extract a range of information from the plot and discuss the benefits of this representation and also the limitations. 
                • Aust Senior
                • TI-Nspire™ CX CAS
                • TI-Nspire™ CX
                27

                Fly Straight

                You won't believe your eyes. How is this possible. This is an amazing sequence. Students use some basic coding to generate a sequence in order to expedite calculations. The result is really cool. You have to try the activity to see the result. 
                • Middle
                • TI-Nspire™ CX CAS
                • TI-Nspire™ CX
                21