Week 6

This week we work on topic 2 and 4: Descriptive statistics and Statistical applications. In Unikum you can find step 1 and step 2 exercises.

In these topics it is important:

  • To understand the difference between one-variable statistics and two-variable statistics.
  • To be extremely skilled in how to use the calculator.
  • To understand the concepts in depth to be able to interpret (not only calculate on):

– frequency tables,
– histogram vs bar charts
– box- and whiskers plots,
– cumulative frequency graphs,
– ”estimated mean” from grouped data vs ”mean”,
– normal distribution curves,
– standard deviation,
– expected values,
– correlation coefficient,
– Chi-squared tests…

Week 5

Time for revision.

Topic 1 – Number and algebra.

Topic 3 – Logic, sets and probability.

Exercises can be found on Unikum (in the blog and in Sharepoint).

Week 4

Solutions 1 – 8 to Geometry 2 booklet.

Now it is week 4. In week 10-11 you have your trial exams.

Plan for revision:

week 5: Topic 1 and 3

Week 6: Topic 2 and 4

Week 7: Topic 6 and 7

Week 9: Mixed.

Exercises can be found on Sharepoint on Unikum.

Wednesday 18 January

Today trigonometry 1, right angled triangles. Please watch the video below to be prepared.

Trigonometry is the study of the relationships between lengths of sides and angles in triangles.

We will look at these relationships in:

  • Right angled triangles
  • Non right angled triangles

Examples.

Homework and next week

I know you have a lot to do. But it is very important that you also do some maths at home.

Next week, from Wednesday 18 January, we will go through trigonometry, both for right triangles and for non-right-angled triangles.

To be prepared for Wednesday:

To be prepared for Thursday:

 

Wednesday 11 January

Today you are going to continue to work on geometry.

Make sure you know:

  • Apply Pythagoras Theorem in different situations.
  • Have the correct unit in your answer depending on if it is a length, an area or a volume.
  • The concepts of different shapes, and use the formula booklet.
  • Make sure you understand the difference between area, surface area, total surface area and volume.
  • Apply quadratic algebra if appropriate (simplify expressions, solve equations, equations of symmetry…)
  • Apply differentiation when appropriate, to find maximum volume or maximum area.

Homework for week 51

Work on Paper 1 and Paper 2.

If you were not here Friday:

From now on you can work in your own pace. The more you work the faster you can start to revise.

If you go to Unikum and click on ”Sharepoint”, then choose ”DP14Mastud”, ”undervisningsmaterial”, there you can find revision exercises for all topics. In the calendar you can see my plan, but as said, you can move on faster if you want to.

Happy Christmas Holiday!

Geometry

The last unit to go through is Geometry. Look in the menu ”Curriculum”, ”Unit 10 Geometry” to see what is required of you.

We will divide this topic into two sub units:

  1. Pythagoras Theorem and basic calculations of areas and volumes.
  2. Trigonometry for right angled triangles and trigonometry for non right angled triangles.

Today I will very shortly go through Pythagoras Theorem and point out some important things about areas and volumes. Then you start to work on examination questions on the topic. These examination questions can be found in Unikum (blog). Also in our share point on Unikum. Start to work on Geometry 1.

Pythagoras Theorem

Right angled trigonometry:

Sine- and cosine rules: