# Practical level 5 Maths

## Course Overview

Maths with Matt - what could be better?

This course will cover the Level 5 Maths curriculum with a more practical/ context-based approach. We will NOT be doing any NCEA internal assessments, but you should finish the year prepared for NCEA level 1 NEXT year. We will cover a smaller quantity of content, at a slower pace than Alisha and Duncan's level 5 classes.

In maths students will explore relationships in quantities, space and data and learn to express these relationships in ways that help them to make sense of the world around them.

Learning maths should help students to become knowledgeable citizens in an information and data driven time.

The fundamental learning outcomes in maths are to develop -

The ability to think creatively, critically and logically

The ability to structure and organize

The ability to process information

The ability to interpret and critically evaluate statistical information in a variety of contexts

The ability to solve problems that help them to investigate and understand the world

TERM 1

Block 1.1 NUMBER

Use prime numbers, common factors, multiples powers and square roots.

Understand operations on fractions, decimals, percentages and integers

Use rates and ratios

Know commonly used fraction, decimal and percentage conversions

Know and apply standard form, significant figures, rounding and decimal place value

Block 1.2 MEASUREMENT

Select and use appropriate metric units for length, area, volume and capacity, weight, temperature, angle and time

Convert between metric units using decimals

Deduce and use formulae to find the perimeters and areas of polygons and the volumes of prisms

Find the perimeters and areas of circles and composite shapes and the volumes of prisms including cylinders

TERM 2

Block 2.1/2.2 ALGEBRA / GRAPHS

Form and solve linear and simple quadratic graphs

Generalise the properties of operations with fractional numbers and integers

Relate tables, graphs and equations to linear and simple quadratic relationships found in number and spatial patterns

TERM 3

Block 3.1 STATISTICS

Plan and conduct surveys and experiments using the statistical enquiry cycle -

Determining appropriate variables and measures

Considering sources of variation

Gathering and cleaning data

Using multiple displays and re-categorising data to find patterns, variations, relationships and trends in multivariate data sets

Comparing sample distributions visually, using measures of centre, spread and proportion

Presenting a report of findings

Evaluate statistical investigations or probability activities undertaken by others, including data collection methods, choice of measures and validity of findings.

Block 3.2 GEOMETRY

Deduce the angle properties of intersecting and parallel lines and the angle properties of of polygons and apply these properties

Create accurate nets for simple polyhedral and connect 3-D solids with different 2-D representations

Construct and describe simple loci

Interpret points and lines on co-ordinate planes, including scales and bearings on maps

Apply trigonometric ratios and Pythagoras’ theorem in two dimensions

TERM 4

Block 4.1 PROBABILITY

Compare and describe the variation between theoretical and experimental distributions in situations that involve elements of chance

Calculate probabilities, using fractions, percentages and ratio

## Courses offered per block.

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