Chapters

- 01. AS91026 Apply numeric reasoning in solving problems
- 02. AS91029 Apply linear algebra in solving problems
- 03. AS91030 Apply measurement in solving problems
- 04. AS91032 Apply right-angled triangles in solving measurement problems
- 05. AS91033 Apply knowledge of geometric representations in solving problems
- 06. AS91034 Apply transformation geometry in solving problems
- 07. Still Have Questions?

**Mathematics** is everywhere, from the algorithms powering our social media these days to the more complex inner workings in both a national and global context. **Numeracy credits** and sharpening your mathematics mental toolbox can be super important to gaining that overall **NCEA Level 1 Qualification**, as well as heavily impacting your future job and **university** prospects! Today, we are going to get into the overview of tackling the internals you’ll encounter through the year. Before we get started though, if you're still up in the air about if you should take NCEA Level 1 Mathematics or not, we've got you sorted. If you're already past the internals stage and external prepping now, we also go over some key information about your Level 1 Mathematics Exam, as well as how many credits you need overall. Now that's out of the way, let's jump right in.

## AS91026 Apply numeric reasoning in solving problems

In this first **internal**, there is a particular focus on your ability to demonstrate reason with **linear proportions**, use prime numbers, common factors, multiples, powers, fractions, decimals, percentages, integers, rates and ratios, standard form, significant figures, rounding, and decimal place value and compounding rates. Basically, you are just demonstrating the **general knowledge around numbers** that you have learned in class!

If you are shooting for those **excellence grades,** remember to of course show your work in developing a strategy to tackle this problem, identify relevant concepts in context and use correct mathematical statements in doing all this. When we talk about problems here, we are referring to fantastic opportunities for you to show your knowledge of mathematical skills and concepts in order to come up with a solution. Your own version of Jay Z here – 99 problems but maths ain’t one.

A** range of methods** implies that you do need to include at least three. These may relate to ratio and proportion, factors, multiples, powers and roots, integer and fractional powers applied to numbers, fractions, decimals and percentages, rates, rounding with decimal places and significant figures and standard form.

## AS91029 Apply linear algebra in solving problems

**Algebraic equations** are basically about **substituting** and calculating missing pieces of a puzzle. In particular, we will be looking at your ability to form and solve **linear equations,** including those with two **unknowns,** relate graphs, tables, and equations to linear relationships and demonstrate any changes in the gradient of the graphs.

Once again, **problems** allow us to show our knowledge and application of these mathematical concepts and theories in order to generate a solution. You will need to use at least three methods to satisfy the range of methods requirements. These could be selected using formulae, linear models, the rate of change,** simultaneous equations,** inequations, or graphs.

## AS91030 Apply measurement in solving problems

Here, it is time for you to flex your skills in converting between** metric units.** You may need to deduce and use formulae to find the **perimeters, areas and volumes** of shapes such as polygons, prisms and circles. This also extends to cylinders. In your revision, make sure you brush up on the relationship between **units** in the metric system, as well as your ability to **calculate volumes** of the various shapes you’ve learned in class and seen throughout the practice exams using the appropriate formulae. When we talk about the metric system and your calculations, we’re usually referring to the units used to sort out the volume, length, area, and so on, which as you know also extend to speed, or cost per unit. It may be useful to tap into that ever-so-handy common sense in these instances and think in real life, what would these be measured in?

## AS91032 Apply right-angled triangles in solving measurement problems

**Trigonometry** can be super fun—hear us out—if you know the right** formulas** you’re meant to be using—which can be deduced fairly simply. **Pythagoras theorem** and the** sine, cosine and tangent ratios** are your best friends here. For this standard, you will need to deduce the known values to find out what you need to calculate. Of course, these will need to be in the correct **metric units**, but by this time, we already know you’re a pro at that. Gunning for those higher grades, and showing your work can be a great way to demonstrate your **problem-solving skills** and **abstract thinking** that the markers are looking for. Secret tip, sometimes it’s little clues in your working itself that help your examiners gauge that you are on the right track. It’s all about logical reasoning and proof here.

## AS91033 Apply knowledge of geometric representations in solving problems

Ah, the one NCEA Maths standard that makes you feel like a pirate. Interpreting **coordinates and bearings.** Though it’s all pretty simple once you understand the **formulas**, then it becomes a case of **interpretation and substitution.** Once again, showing your work gives you a chance to prove your logic. When you do show this working, remember to include the correct **mathematical terminology** to really show you know your stuff. Practice makes perfect with this one so be sure to smash out some past exams to get your techniques down pat.

## AS91034 Apply transformation geometry in solving problems

This is another standard that can be quite fun once you master it—and we are here to help you get there. After familiarizing yourself with **geometrical concepts**, you’ll be able to select the best one in order to problem solve using **geometrical terms**. Here, markers want to see you strategizing and employing logical reasoning to address the problem at hand. **Questions** may be in the form of real-life problems or they may be straightforward maths questions. However, remember, real-life problems are just straightforward maths questions in fancy dress. Pull out the numbers and values as you read, draw **diagrams** if you need to, and you will be sweet.

For further information on your internals, be sure to check out thee NZQA website for full details on your Standards and Assessments

## Still Have Questions?

Here at Superprofs, we know that you are well on your way to success. However, we also understand the value of a helpful hand, to go over concepts with you that you didn't quite catch in class, show you the best tips and tricks in the game to ace these internals, or just work through things with you, provide some additional support, and make sure that you are on the right track. If that sounds like something you are after, why not choose from our range of amazing, friendly and expert tutors? We want to see you do your best, and we are here to help.

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