Function basics and Quadratics

Function basics and Quadratics

A mixture of calculator and non-calculator skills linking functions with graphs.

Syllabus content: SL 2.2, SL 2.5, SL 2.6, SL 2.7

I have made 5 worksheets and 4 treasure hunts to help with this topic. They are:

  1. Basic functions
  2. Quadratics
  3. Solutions of quadratics
  4. Angry bird quadratics
  5. Bridge building
  6. Treasure hunt: discriminant of quadratics
  7. Treasure hunt: functions domains and ranges
  8. Treasure hunt: graphing skills
  9. Treasure hunt: quadratic basics

You can scroll down below to see the images of the questions.  You can download both the questions and mark scheme from the bottom of the page.

1. Basic functions

Screen Shot 2022-01-19 at 11.35.04 AM

Note:  This is a short worksheet which can be used in lesson or for homework.  It covers syllabus point: SL 2.2 and SL 2.5.  Students explore domains and ranges and function notation as well as inverses.

2. Quadratics

Screen Shot 2022-01-19 at 11.35.24 AM

Note:  This is a short worksheet which can be used in lesson or for homework.  It covers syllabus point: SL 2.6.  Students work with quadratic equations and sketch graphs.

3. Solutions of quadratics

Screen Shot 2022-01-19 at 11.35.36 AM

Note:  This is a short worksheet which can be used in lesson or for homework.  It covers syllabus point: SL 2.7.  Students work with the discriminant of quadratics to find the number of solutions.

4. Angry Bird quadratics

Screen Shot 2022-01-19 at 11.36.19 AM

Note:  This is an investigation idea which starts by tracking data from a video, and then uses regression on Desmos to model projectile motion.

5. Bridge Building:

Screen Shot 2022-01-19 at 11.36.07 AM

Note:  This is an investigation idea which looks at the shapes of bridges and how closely they follow a quadratic curve.

Treasure hunt: Discriminant of Quadratics

Screen Shot 2022-10-23 at 12.33.37 PM

Note:  This is an activity which can be done in pairs or as a whole class activity.  Students solve a mixture of discriminant problems.

Treasure hunt: Functions Domains and Ranges

Screen Shot 2022-10-23 at 12.33.48 PM

Note:  This is an activity which can be done in pairs or as a whole class activity.  Students solve a mixture of problems around domain and range.

Treasure hunt: graphing skills

Screen Shot 2022-10-23 at 12.34.01 PM

Note:  This is an activity which can be done in pairs or as a whole class activity.  Students solve a mixture of graph sketching problems.

Treasure hunt: quadratic basics

Screen Shot 2022-10-23 at 12.34.16 PM

Note:  This is an activity which can be done in pairs or as a whole class activity.  Students solve a mixture of quadratic problems.

You can download the questions here: (You must be logged in to see all downloads)

File Last Modified Download
Treasure Hunt Graphing Skills 2022/11/13 Download
Bridge Building 2021/10/03 Download
3 Solutions to quadratics 2021/08/16 Download
1 Basic functions 2021/08/16 Download

And you can download the markschemes here: (You must be logged in to see all downloads)

File Last Modified Download
3 Solution to quadratics MS v2 2022/11/28 Download
Treasure Hunt Graphing Skills MS 2022/10/23 Download
Bridge Building MS 2021/10/05 Download
1 Basic functions MS 2021/08/16 Download