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Ministry of Education New Zealand

What your child will learn in maths#

They will learn to use different methods to solve problems, including word problems and different types of tables, graphs and diagrams. Children will connect their understanding of whole numbers to fractions, decimals and percentages. They will also apply their maths skills to understand concepts like angles, perimeter and area, and explore patterns, shapes, and data.

Having good mathematical skills and a positive view of themselves as maths learners will help your child in the future. They are important for things like solving problems and creative thinking. When talking to your child about maths, encourage your child to use the vocabulary that they have been using in their maths classes.

Numbers#

Your child is learning about numbers, including to:

  • Understand a wider range of numbers such as factors and square numbers to read, write, compare, and order numbers up to 1,000,000, and add and subtract whole numbers. Students use estimation and rounding to check their calculations.
  • Multiplication and division by recalling multiplication facts up to 10 × 10, multiplying multi-digit numbers (for example, 54 × 112), and dividing large numbers with remainders (for example, 198 ÷ 7). Using the order of operations is important new learning in Year 6.
  • Expand their knowledge of fractions, decimals by adding and subtracting decimals (for example, 3.45 + 15.33), and working with fractions (for example, ¼ + 2/8). Year 6 children are introduced to percentages and understanding how fractions, decimals, and percentages relate to each other.
  • Apply maths to financial situations to create simple financial plans (for example, budgets or shopping lists) and calculate simple percentages for purchases.
Ideas to help at home

With your child, you could:

  • Talk about large numbers in your environment, for example, computer game scores, distances or data storage.
  • Plan and make dinner at home, at camp or on a marae. Look at how many and how much is needed for the people eating (potatoes, bok choy, carrots, sausages). Talk about multiplying ingredients for more people and calculating cooking times.
  • Co-operate at the supermarket – look for the best buy between different brands of the same item and different sizes of the same item (for example, toilet paper, cans of spaghetti, bottles of milk).
  • Play times table games.
Words your child will be learning

Words include:

  • efficient
  • inverse operation
  • percentage
  • simplest form
  • square number
  • thousandth.

Algebra#

Your child is learning to:

  • Understand equality and inequality. They use the ideas of equality (when both sides of an equation are the same, like 3 + 5 = 8) and inequality (when 1 side is greater or smaller, like 5 × 3 < 20) to answer true or false statements, or find missing numbers in an equation.
  • Identify growing patterns to find rules for patterns using tables, graphs, and diagrams.
  • Create algorithms by developing step-by-step instructions (algorithms) to solve problems, like using a decision tree to sort shapes.
Ideas to help at home

With your child, you could:

  • Pick a simple everyday action, such as walking to the front door. Your child gives step-by-step instructions using clear choices. For example: "Take 2 steps forward and, if there is a wall in front, turn left. Otherwise, keep going." You act as a 'robot' and must only follow their exact instructions.
  • Play a mystery number game. Think of a number and give your child clues using equations. For example, "I am thinking of a number. When I double it and add 3, I get 11. What is my number?"
Words your child will be learning

Words include:

  • constant
  • equality, inequality
  • linear pattern
  • XY graph.

Measurement#

Your child is learning to:

  • Measure and estimate length, weight, capacity, temperature, and time, using the right tools and units. They are also practicing measuring and drawing angles with a protractor. In Year 6 children use multiplication to find the area of rectangles and triangles, and the volume of cubes and rectangular prisms.
  • Convert metric units like millimetres to meters and using decimals in measurements.
  • Understand units of time. Your child is learning to convert between time units (for example, minutes to hours), calculate the difference between times, and understand both regular clock time and 24-hour time.
Ideas to help at home

With your child, you could:

  • challenge them to estimate measurements of various objects, then verify with proper tools and calculate the difference
  • let them measure ingredients for recipes, convert between cups and millilitres, and experiment with doubling or halving measurements
  • talk about time in everyday situations, for instance, when driving ask, "if we left at 9.15am and arrive at 10.45am, how long was our trip?"
  • plan a trip using a bus or train timetable.
Words your child will be learning

Words include:

  • cubic centimetre, cubic metre
  • protractor
  • square centimetre, square metre.

Geometry#

Your child is learning to:

  • Understand shapes by describing and comparing 2D shapes (like different triangles) and 3D shapes (like prisms and pyramids). Children also look at the angles they can see inside shapes.
  • Transform shapes by creating and describing patterns that rotate (turn), reflect (flip), tessellate, and translate (slide) shapes.
  • Read and create maps using grid references, directional language (north, south, east, west), and measuring distances (in metres and kilometres) and turns (in degrees).
Ideas to help at home

With your child, you could:

  • search for real-life examples of different geometric shapes and take photos or draw what they find, unfold different shaped boxes and notice the shapes
  • follow origami instructions to create shapes while learning about angles, symmetry, and geometric properties
  • create a map with coordinates and geometric clues leading to a hidden treasure in your home or backyard.
Words your child will be learning

Words include:

  • centre of rotation
  • clockwise, anticlockwise
  • interior angle
  • map scale
  • right-angled, equilateral, isosceles, or scalene triangle
  • tessellation.

Statistics#

Your child is learning to:

  • Explore real data – ask and answer questions using data and predict what they think the data will show. In Year 6, their investigations may be about changes over time, like "how much will this bean plant grow over 10 days?".
  • Collect and check data – plan how to collect their own data, check where it comes from, and make sure it is trustworthy. They also learn to organise data and look for mistakes.
  • Present and make sense of data – by creating and describing graphs and charts to find patterns and trends, compare their findings to their original predictions and what they already know.
  • Develop statistical literacy – to check and improve how others collect and present data to avoid mistakes or misleading information.
Ideas to help at home

With your child, you could:

  • count different types of vehicles passing your home during different time periods and then discuss patterns
  • watch a sports game together and track simple statistics (shots taken, passes completed) and then compare that to official statistics online
  • ask your child to track the family's device usage for a week and then create charts showing patterns and discuss findings.
Words your child will be learning

Words include:

  • comparison or summary investigative question
  • feature
  • misleading
  • mode
  • primary or secondary data
  • trend.

Probability#

Your child is learning to plan and carry out probability experiments to:

  • Investigate chance – by exploring chance-based situations, including those with outcomes that aren’t equally likely. They start by asking questions, predicting possible outcomes, and identifying all ways each outcome could happen. For example, what is the chance of pulling out a red counter from a bag that has 20 red and 25 blue counters?
  • Collect and record data – by working out the possible outcomes, and/or doing the experiment and recording the results. They will then create charts to present the data and describe what these charts show.
  • Compare results and probabilities – by looking at their experiment’s findings with the expected probabilities. In Year 6, your child is learning to calculate probabilities as fractions and use them to answer the investigative question.
Ideas to help at home

With your child, you could:

  • predict patterns in coin flips – for example, “how often will you get 3 heads in a row in 20 flips?” and then test your predictions
  • before playing a card game, discuss the chances of drawing specific cards, then track results during play.
Words your child will be learning

Words include 'evidence'.

Resource#

pdf thumbnailMaths at home - Year 6 NZ Curriculum
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