The home of mathematics education in New Zealand.

  • Forgot password ?
  • Teaching material
  • Problem solving activities

Meaningful Maths

Problem Solving

This section of the nzmaths website has problem-solving lessons that you can use in your maths programme. The lessons provide coverage of Levels 1 to 6 of The New Zealand Curriculum. The lessons are organised by level and curriculum strand.  Accompanying each lesson is a copymaster of the problem in English and in Māori. 

Choose a problem that involves your students in applying current learning. Remember that the context of most problems can be adapted to suit your students and your current class inquiry. Customise the problems for your class.

  • Level 1 Problems
  • Level 2 Problems
  • Level 3 Problems
  • Level 4 Problems
  • Level 5 Problems
  • Level 6 Problems

The site also includes Problem Solving Information . This provides you with practical information about how to implement problem solving in your maths programme as well as some of the philosophical ideas behind problem solving. We also have a collection of problems and solutions for students to use independently.

nz maths problem solving level 5

Lesson Planet

  • Share on Facebook
  • Tweet This Resource
  • Pin This Resource

Nz Maths Problem Solving Lesson Plans: Level 5 Lesson Plan

Nz Maths Problem Solving Lesson Plans: Level 5

Teachers, this New Zealand Problem Solving website is an outstanding resource for lesson plans. They are organized into the following categories: algebra, geometry, measurement, numbers, statistics, and logic and reasoning.

Additional Tags

Classroom considerations.

  • Knovation Readability Score: 3 (1 low difficulty, 5 high difficulty)

Start Your Free Trial

Save time and discover engaging curriculum for your classroom. Reviewed and rated by trusted, credentialed teachers.

  • Collection Types
  • Activities & Projects
  • Assessments
  • Graphics & Images
  • Handouts & References
  • Interactives
  • Lab Resources
  • Learning Games
  • Lesson Plans
  • Presentations
  • Primary Sources
  • Printables & Templates
  • Professional Documents
  • Study Guides
  • Instructional Videos
  • Performance Tasks
  • Graphic Organizers
  • Writing Prompts
  • Constructed Response Items
  • AP Test Preps
  • Lesson Planet Articles
  • Online Courses
  • Interactive Whiteboards
  • Home Letters
  • Unknown Types
  • Stock Footages
  • All Resource Types

See similar resources:

Teaching problem solving strategies in the 5-12 curriculum, math stars: a problem-solving newsletter grade 5, word problem practice workbook, nz maths: problem solving lesson plans: level 3 problems, nz maths problem solving lesson plans: level 4, open-ended problem solving - math, problem solving, problem solving plan, mental math: the perfect lemonade 1, word problems solved by s.m.s..

Mathletics New Zealand Logo

Mathletics Problem-Solving and Reasoning

Mathletics has 700+ Problem-Solving and Reasoning questions to bring next-level mathematics thinking to your class

Mathletics helps teachers bring Problem-Solving and Reasoning to life

nz maths problem solving level 5

Over 700 Problem-Solving and Reasoning Questions

Designed by our team of education specialists, Mathletics Problem-Solving and Reasoning activities help students master soft mathematics skills, develop critical thinking abilities, and shows them how mathematics can be applied to real life problem-solving.

Built for the Modern Learning Environment

Students can investigate the problem, show their working and thinking, and ask their teachers help all within their console. Automated marking, data-driven reporting, grouping and the ability to assign tasks enables educators to provide powerful, problem-solving reasoning lessons.

nz maths problem solving level 5

Endlessly Engaging for Students

Using best-practice gamification theory, Mathletics Problem-Solving and Reasoning questions engage, challenge and motivate students to think creatively, critically, and to discover the joy of using mathematics.

Get access to Problem-Solving and Reasoning in Mathletics

Encouraging today’s learners to become tomorrow’s thinkers.

nz maths problem solving level 5

Real-world thinking

Shows students how mathematics applies to problems of the real-world.

nz maths problem solving level 5

Preparing for the future

Prepares students to focus on solutions for their future work and careers.

nz maths problem solving level 5

Enhancing learning experiences

Turns ordinary questions into challenging and motivating learning experiences.

Mathletics PSR is made with every learner in mind

Mathletics PSR activities have been created to help, challenge and develop all students at every level of learning.

PSR for every student

Introducing simple problem-solving concepts.

Mathletics PSR opens young minds to the basic ideas of problem-solving and reasoning through captivating questions and imagery.

For young learners

Challenging students to think.

Mathletics PSR demonstrates to older students that mathematical ideas, concepts and questions can be expanded, played with and solved in completely different ways.

For older learners

Helping struggling students develop.

Educators can set their students challenges from any level of learning, helping those who need more time the chance to succeed at their own pace.

For struggling students

Problem-solving and reasoning makes mathematics extraordinary.

See how Mathletics Problem-Solving and Reasoning can help your students develop the most important skills of the digital age.

nz maths problem solving level 5

Get 30 Days of Free Access To Mathletics For Your School

Used by 200,000+ teachers, loved by 3,000,000+ students, Mathletics is the online maths program that has captivated students with the love of learning for over 15 years – and it’s yours to try for free for 30 days.

  • Perfect for learners aged 4-14 – Find hundreds of resources, games and activities that introduce concepts, reinforce learning, reward mastery and encourage critical thinking for early through to secondary learners.

Save teachers time – with assisted marking, hundreds of maths resources and lessons, Mathletics does some of the heavy-lifting so you can focus on your students.

Provide detailed reporting – track student progress on a class and individual level to help create lesson plans and learning paths.

Captivate students – Mathletics uses gamified learning to engage and challenge students to achieve their best while having fun.

nz maths problem solving level 5

Privacy Overview

New Zealand

New Zealand flag

IXL's year 5 skills will be aligned to the New Zealand Curriculum soon! Until then, you can view a complete list of year 5 objectives below.

Objectives are in black and IXL maths skills are in dark green. Hold your mouse over the name of a skill to view a sample question. Click on the name of a skill to practise that skill.

Show alignments for:

  • New Zealand National Standards New Zealand National Standards
  • New Zealand Curriculum: Level 2 New Zealand Curriculum: Level 2
  • New Zealand Curriculum: Level 3 New Zealand Curriculum: Level 3
  • Print curriculum

L2.1 Number and Algebra

L2.1.1 number strategies, l2.1.1.1 use simple additive strategies with whole numbers and fractions..

  • Add with pictures - sums up to 10 ( 2-B.1 )
  • Addition sentences - sums up to 10 ( 2-B.2 )
  • Addition sentences using number lines - sums up to 10 ( 2-B.3 )
  • Complete the addition sentence - sums up to 10 ( 2-D.4 )
  • Addition word problems - sums up to 10 ( 2-D.5 )
  • Addition sentences for word problems - sums up to 10 ( 2-D.6 )
  • Addition sentences using number lines - sums up to 18 ( 2-D.8 )
  • Addition word problems - sums up to 18 ( 2-D.9 )
  • Addition sentences for word problems - sums up to 18 ( 2-D.10 )
  • Make a number using addition - sums up to 20 ( 2-D.12 )
  • Addition sentences for word problems - sums up to 20 ( 2-D.13 )
  • Related addition facts ( 2-D.14 )
  • Addition sentences: true or false? ( 2-D.15 )
  • Add a one-digit number to a two-digit number - without regrouping ( 2-D.16 )
  • Add two multiples of ten ( 2-E.7 )
  • Add a multiple of ten ( 2-E.8 )
  • Add three numbers ( 2-E.9 )
  • Add three numbers - word problems ( 2-E.10 )
  • Review - writing addition sentences - sums to 10 ( 3-E.3 )
  • Add one-digit numbers ( 3-E.5 )
  • Addition with pictures - sums to 20 ( 3-E.6 )
  • Write addition sentences to describe pictures - sums to 20 ( 3-E.7 )
  • Addition input/output tables - sums to 20 ( 3-E.8 )
  • Addition word problems - one digit ( 3-E.10 )
  • Complete the addition sentence - one digit ( 3-E.11 )
  • Write the addition sentence - one digit ( 3-E.12 )
  • Balance addition equations - one digit ( 3-E.13 )
  • Add three or more one-digit numbers ( 3-E.14 )
  • Add three or more one-digit numbers - word problems ( 3-E.15 )
  • Identify repeated addition for arrays - sums to 10 ( 3-E.16 )
  • Write addition sentences for arrays - sums to 10 ( 3-E.17 )
  • Identify repeated addition for arrays - sums to 25 ( 3-E.18 )
  • Write addition sentences for arrays - sums to 25 ( 3-E.19 )
  • Add two numbers up to three digits ( 4-D.1 )
  • Addition input/output tables - up to three digits ( 4-D.2 )
  • Add two numbers up to three digits - word problems ( 4-D.3 )
  • Complete the addition sentence - up to three digits ( 4-D.4 )
  • Balance addition equations - up to three digits ( 4-D.5 )
  • Add three or more numbers up to three digits each ( 4-D.6 )
  • Add three or more numbers up to three digits - word problems ( 4-D.7 )
  • Addition patterns over increasing place values ( 4-D.8 )
  • Add two numbers with four or more digits ( 4-D.9 )
  • Addition input/output tables - four or more digits ( 4-D.10 )
  • Add two numbers with four or more digits - word problems ( 4-D.11 )
  • Complete the addition sentence - four or more digits ( 4-D.12 )
  • Balance equations - four or more digits ( 4-D.13 )
  • Add three or more numbers with four or more digits ( 4-D.14 )
  • Add three or more numbers with four or more digits - word problems ( 4-D.15 )
  • Addition: fill in the missing digits ( 4-D.16 )
  • Add numbers up to five digits ( 5-B.1 )
  • Add numbers up to five digits: word problems ( 5-B.2 )
  • Addition: fill in the missing digits ( 5-B.3 )
  • Properties of addition ( 5-B.4 )
  • Input/output tables with addition ( 5-B.5 )
  • Add three or more numbers up to five digits each ( 5-B.6 )
  • Addition patterns over increasing place values ( 5-B.7 )
  • Estimate sums ( 5-B.9 )
  • Estimate sums: word problems ( 5-B.10 )

L2.1.2 Number knowledge

L2.1.2.1 know forward and backward counting sequences with whole numbers to at least 1000..

  • Count to fill a ten frame ( 2-A.2 )
  • Count on ten frames - up to 40 ( 2-A.6 )
  • Counting - up to 100 ( 2-A.7 )
  • Counting by tens - up to 100 ( 2-A.8 )
  • Counting by twos, fives and tens with pictures ( 2-A.11 )
  • Counting by twos, fives and tens ( 2-A.12 )
  • Counting forward and backward ( 2-A.13 )
  • Counting on the hundred chart ( 2-A.15 )
  • Skip-counting ( 3-A.1 )
  • Skip-counting sequences ( 3-A.2 )
  • Counting patterns - up to 100 ( 3-A.3 )
  • Skip-counting stories ( 3-A.11 )
  • Skip-counting puzzles ( 3-A.12 )
  • Counting patterns - up to 1000 ( 3-A.14 )
  • Skip-counting puzzles ( 4-A.3 )
  • Number sequences ( 4-A.4 )
  • Number sequences ( 5-A.10 )

L2.1.2.2 Know the basic addition and subtraction facts.

  • Adding 1 ( 2-C.1 )
  • Adding 2 ( 2-C.2 )
  • Adding 3 ( 2-C.3 )
  • Adding 4 ( 2-C.4 )
  • Adding 5 ( 2-C.5 )
  • Adding 6 ( 2-C.6 )
  • Adding 7 ( 2-C.7 )
  • Adding 8 ( 2-C.8 )
  • Adding 9 ( 2-C.9 )
  • Adding 0 ( 2-C.10 )
  • Addition facts - sums up to 10 ( 2-D.1 )
  • Addition facts - sums up to 18 ( 2-D.7 )
  • Addition facts - sums up to 20 ( 2-D.11 )
  • Subtracting 1 ( 2-G.1 )
  • Subtracting 2 ( 2-G.2 )
  • Subtracting 3 ( 2-G.3 )
  • Subtracting 4 ( 2-G.4 )
  • Subtracting 5 ( 2-G.5 )
  • Subtracting 6 ( 2-G.6 )
  • Subtracting 7 ( 2-G.7 )
  • Subtracting 8 ( 2-G.8 )
  • Subtracting 9 ( 2-G.9 )
  • Subtracting 0 ( 2-G.10 )
  • Subtraction facts - numbers up to 10 ( 2-H.1 )
  • Subtraction facts - numbers up to 18 ( 2-H.8 )
  • Related subtraction facts ( 2-H.13 )
  • Fact families ( 2-V.3 )
  • Addition and subtraction facts - numbers up to 10 ( 2-V.4 )
  • Addition and subtraction facts - numbers up to 18 ( 2-V.5 )
  • Review - add one-digit numbers - sums to 10 ( 3-E.1 )
  • Review - subtract one-digit numbers - up to 10 ( 3-F.1 )
  • Related addition facts ( 3-K.1 )
  • Related subtraction facts ( 3-K.2 )
  • Fact families ( 3-K.3 )
  • Fact families ( 4-T.1 )

L2.1.2.3 Know how many ones, tens, and hundreds are in whole numbers to at least 1000.

  • Counting tens and ones - up to 30 ( 2-A.4 )
  • Write tens and ones - up to 30 ( 2-A.5 )
  • Counting tens and ones - up to 99 ( 2-A.9 )
  • Write tens and ones - up to 100 ( 2-A.10 )
  • Place value models - tens and ones ( 3-L.1 )
  • Place value models - up to hundreds ( 3-L.2 )
  • Place value models - up to thousands ( 3-L.3 )
  • Value of a digit - tens and ones ( 3-L.4 )
  • Value of a digit - up to hundreds ( 3-L.5 )
  • Value of a digit - up to thousands ( 3-L.6 )
  • Regroup tens and ones ( 3-L.7 )
  • Regroup tens and ones - ways to make a number ( 3-L.8 )
  • Convert to/from a number - tens and ones ( 3-L.9 )
  • Convert to/from a number - up to hundreds ( 3-L.10 )
  • Convert to/from a number - up to thousands ( 3-L.11 )
  • Convert between place values - up to thousands ( 3-L.12 )
  • Convert from expanded form - up to hundreds ( 3-L.13 )
  • Convert from expanded form - up to thousands ( 3-L.14 )
  • Identify a digit up to the hundreds place ( 3-L.15 )
  • Place value models up to thousands ( 4-B.1 )
  • Place value names up to hundreds ( 4-B.2 )
  • Place value names up to thousands ( 4-B.3 )
  • Value of a digit ( 4-B.4 )
  • Convert to/from a number ( 4-B.5 )
  • Convert between place values ( 4-B.6 )
  • Convert from expanded form ( 4-B.7 )
  • Convert between standard and expanded form ( 4-B.8 )
  • Place value word problems ( 4-B.9 )
  • Place values ( 5-A.1 )
  • Convert between place values ( 5-A.2 )

L2.1.2.4 Know simple fractions in everyday use.

  • Halves, thirds and quarters ( 2-O.1 )
  • Simple fractions: what fraction does the shape show? ( 2-O.3 )
  • Simple fractions: which shape matches the fraction? ( 2-O.4 )
  • Compare fractions ( 2-O.7 )
  • Halves, thirds and quarters ( 3-W.2 )
  • Which shape illustrates the fraction? ( 3-W.4 )
  • Fractions of a whole: modelling word problems ( 3-W.6 )
  • Fractions of a whole: word problems ( 3-W.7 )
  • Compare fractions using models ( 3-W.9 )
  • Order fractions with like denominators ( 3-W.10 )
  • Order fractions with like numerators ( 3-W.11 )
  • Unit fraction review ( 4-R.3 )
  • Unit fractions: modelling word problems ( 4-R.7 )
  • Unit fractions: word problems ( 4-R.8 )
  • Fractions of a whole: modelling word problems ( 4-R.9 )
  • Fractions of a whole: word problems ( 4-R.10 )
  • Fractions of number lines: unit fractions ( 4-R.12 )
  • Fractions of number lines ( 4-R.13 )
  • Compare fractions ( 4-R.20 )
  • Put fractions in order ( 4-R.24 )
  • Fractions review ( 5-P.1 )
  • Fractions of a whole: word problems ( 5-P.2 )
  • Fractions of a group: word problems ( 5-P.3 )
  • Find equivalent fractions using area models ( 5-P.4 )
  • Graph equivalent fractions on number lines ( 5-P.5 )
  • Graph and compare fractions on number lines ( 5-P.9 )
  • Compare fractions ( 5-P.10 )
  • Order fractions with like numerators or denominators ( 5-P.11 )
  • Order fractions ( 5-P.12 )
  • Find smaller or larger fractions ( 5-P.13 )
  • Model decimals and fractions ( 5-Q.2 )
  • Graph fractions as decimals on number lines ( 5-Q.8 )

L2.1.3 Equations and expressions

L2.1.3.1 communicate and interpret simple additive strategies, using words, diagrams (pictures), and symbols..

  • Number lines ( 2-A.14 )
  • Hundred chart ( 2-A.16 )
  • Writing numbers in words ( 2-A.24 )
  • Complete the addition sentence - make ten ( 2-E.5 )
  • Number lines - up to 100 ( 3-A.4 )
  • Hundred chart ( 3-A.5 )
  • Number lines - up to 1000 ( 3-A.13 )
  • Writing numbers up to 100 in words ( 3-C.3 )
  • Writing numbers up to 1000 in words ( 3-C.4 )
  • Write numbers in words ( 4-A.6 )
  • Fraction review ( 4-R.4 )
  • Word names for numbers ( 5-A.3 )

L2.1.4 Patterns and relationships

L2.1.4.1 generalise that whole numbers can be partitioned in many ways..

  • Adding zero ( 2-B.4 )
  • Ways to make a number - addition sentences ( 2-D.2 )
  • Make a number using addition - sums up to 10 ( 2-D.3 )
  • Regroup tens and ones - ways to make a number ( 2-D.17 )
  • Regroup tens and ones ( 2-D.18 )
  • Add a one-digit number to a two-digit number - with regrouping ( 2-D.19 )
  • Add doubles ( 2-E.1 )
  • Add using doubles plus one ( 2-E.2 )
  • Add using doubles minus one ( 2-E.3 )
  • Add three numbers - use doubles ( 2-E.4 )
  • Add three numbers - make ten ( 2-E.6 )
  • Review - ways to make a number - sums to 10 ( 3-E.2 )
  • Add doubles ( 3-E.4 )
  • Add zero ( 3-E.9 )
  • Choose numbers with a particular sum ( 5-B.8 )

L2.1.4.2 Find rules for the next member in a sequential pattern.

  • Introduction to patterns ( 2-U.1 )
  • Find the next shape in a pattern ( 2-U.2 )
  • Complete a pattern ( 2-U.3 )
  • Make a pattern ( 2-U.4 )
  • Growing patterns ( 2-U.5 )
  • Find the next shape in a growing pattern ( 2-U.6 )
  • Find the next row in a growing pattern ( 2-U.7 )
  • Repeating patterns ( 3-D.1 )
  • Growing patterns ( 3-D.2 )
  • Find the next shape in a pattern ( 3-D.3 )
  • Complete a repeating pattern ( 3-D.4 )
  • Make a repeating pattern ( 3-D.5 )
  • Find the next row in a growing pattern ( 3-D.6 )
  • Repeating patterns ( 4-C.1 )
  • Growing patterns ( 4-C.2 )
  • Find the next shape in a pattern ( 4-C.3 )
  • Complete a repeating pattern ( 4-C.4 )
  • Make a repeating pattern ( 4-C.5 )
  • Find the next row in a growing pattern ( 4-C.6 )
  • Find the next shape in a repeating pattern ( 5-G.1 )
  • Complete a repeating pattern ( 5-G.2 )
  • Make a repeating pattern ( 5-G.3 )
  • Find the next row in a growing pattern of shapes ( 5-G.4 )
  • Complete an increasing number pattern ( 5-G.5 )
  • Complete a geometric number pattern ( 5-G.6 )
  • Number patterns: word problems ( 5-G.7 )
  • Number patterns: mixed review ( 5-G.8 )

L2.2 Geometry and Measurement

L2.2.1 measurement, l2.2.1.1 create and use appropriate units and devices to measure length, area, volume and capacity, weight (mass), turn (angle), temperature, and time..

  • Measure using a centimetre ruler ( 2-R.8 )
  • Read a thermometer ( 3-S.6 )
  • Measure using a centimetre ruler ( 3-S.7 )
  • Which metric unit of length is appropriate? ( 3-S.8 )
  • Metric units of length: word problems ( 3-S.9 )
  • Which metric unit of mass is appropriate? ( 3-S.10 )
  • Which metric unit of volume is appropriate? ( 3-S.11 )
  • Choose the appropriate measuring tool ( 3-S.14 )
  • Select figures with a given area ( 3-V.4 )
  • Measure using a centimetre ruler ( 4-O.3 )
  • Find the area of figures made of unit squares ( 4-Q.5 )
  • Select figures with a given area ( 4-Q.6 )
  • Select two figures with the same area ( 4-Q.7 )
  • Volume ( 4-Q.11 )
  • Choose the appropriate metric unit of measure ( 5-J.1 )
  • Select figures with a given area ( 5-N.4 )
  • Select two figures with the same area ( 5-N.5 )
  • Volume ( 5-N.9 )

L2.2.1.2 Partition and/or combine like measures and communicate them, using numbers and units.

  • Compare and convert metric units of volume ( 3-S.12 )
  • Compare and convert metric units of mass ( 3-S.13 )
  • Compare and convert metric units of length ( 4-O.5 )
  • Metric mixed units ( 4-O.6 )
  • Add and subtract metric mixed units ( 4-O.7 )
  • Compare and convert metric units of mass ( 4-O.9 )
  • Compare and convert metric units of volume ( 4-O.11 )
  • Conversion tables ( 4-O.12 )
  • Compare and convert metric units of length ( 5-J.3 )
  • Compare and convert metric units of mass ( 5-J.5 )
  • Compare and convert metric units of volume ( 5-J.7 )
  • Metric mixed units ( 5-J.8 )

L2.2.2 Shape

L2.2.2.1 sort objects by their spatial features, with justification..

  • Same ( 2-K.1 )
  • Different ( 2-K.2 )
  • Same and different ( 2-K.3 )
  • Classify shapes by colour ( 2-K.4 )
  • Count shapes in a Venn diagram ( 2-K.6 )
  • Two-dimensional and three-dimensional shapes ( 2-N.1 )
  • Select three-dimensional shapes ( 2-N.4 )
  • Identify faces of three-dimensional shapes ( 2-N.8 )
  • Sort shapes into a Venn diagram ( 3-R.12 )
  • Name the two-dimensional shape ( 3-T.1 )
  • Select two-dimensional shapes ( 3-T.2 )
  • Count sides and vertices ( 3-T.3 )
  • Compare sides and vertices ( 3-T.4 )
  • Identify congruent shapes ( 3-T.6 )
  • Symmetry ( 3-T.7 )
  • Name the three-dimensional shape ( 3-U.1 )
  • Select three-dimensional shapes ( 3-U.2 )
  • Count vertices, edges and faces ( 3-U.3 )
  • Compare vertices, edges and faces ( 3-U.4 )
  • Identify shapes traced from solids ( 3-U.5 )
  • Identify faces of three-dimensional shapes ( 3-U.6 )
  • Identify two-dimensional shapes ( 4-P.1 )
  • Count and compare sides and vertices ( 4-P.2 )
  • Identify three-dimensional shapes ( 4-P.3 )
  • Count vertices, edges and faces ( 4-P.4 )
  • Identify faces of three-dimensional shapes ( 4-P.5 )
  • Identify congruent shapes ( 4-P.13 )
  • Rotational symmetry ( 4-P.14 )
  • Lines of symmetry ( 4-P.15 )
  • Is it a polygon? ( 5-L.1 )
  • Number of sides in polygons ( 5-L.2 )
  • Which two-dimensional figure is being described? ( 5-L.3 )
  • Types of triangles ( 5-L.8 )
  • Identify congruent figures ( 5-L.10 )
  • Identify three-dimensional figures ( 5-M.1 )
  • Count vertices, edges and faces ( 5-M.2 )
  • Identify faces of three-dimensional figures ( 5-M.3 )
  • Which three-dimensional figure is being described? ( 5-M.4 )

L2.2.2.2 Identify and describe the plane shapes found in objects.

  • Shapes of everyday objects I ( 2-N.9 )

L2.2.3 Position and orientation

L2.2.3.1 create and use simple maps to show position and direction..

  • Coordinate planes as maps ( 5-H.14 )
  • Follow directions on a coordinate plane ( 5-H.15 )

L2.2.3.2 Describe different views and pathways from locations on a map.

  • Map distances ( 4-O.13 )

L2.2.4 Transformation

L2.2.4.1 predict and communicate the results of translations, reflections, and rotations on plane shapes..

  • Flip, turn and slide ( 3-T.5 )
  • Reflection, rotation and translation ( 4-P.12 )
  • Reflection, rotation and translation ( 5-L.9 )

L2.3 Statistics

L2.3.1 statistical investigation, l2.3.1.1 conduct investigations using the statistical enquiry cycle:, l2.3.1.1.a posing and answering questions;, l2.3.1.1.b gathering, sorting, and displaying category and whole-number data;.

  • Which tally chart is correct? ( 2-Q.3 )
  • Create line plots ( 3-R.6 )
  • Create pictographs ( 3-R.9 )
  • Count shapes in a Venn diagram ( 3-R.13 )
  • Create bar graphs ( 4-K.2 )
  • Create line plots ( 4-K.4 )
  • Create pictographs ( 4-K.6 )
  • Create line graphs ( 4-K.8 )
  • Sort shapes into a Venn diagram ( 4-K.9 )
  • Count shapes in a Venn diagram ( 4-K.10 )
  • Create line graphs ( 5-H.3 )
  • Create bar graphs ( 5-H.5 )
  • Create line plots ( 5-H.7 )
  • Choose the best type of graph ( 5-H.12 )

L2.3.1.1.c communicating findings based on the data.

  • Interpret tally charts ( 2-Q.4 )
  • Interpret bar graphs ( 2-Q.7 )
  • Interpret bar graphs ( 3-R.3 )
  • Interpret line plots ( 3-R.5 )
  • Interpret pictographs II ( 3-R.8 )
  • Interpret line graphs ( 3-R.10 )
  • Interpret bar graphs ( 4-K.1 )
  • Interpret line plots ( 4-K.3 )
  • Interpret pictographs ( 4-K.5 )
  • Interpret line graphs ( 4-K.7 )
  • Add and subtract data from tables ( 4-U.9 )
  • Read a table ( 5-H.1 )
  • Interpret line graphs ( 5-H.2 )
  • Interpret bar graphs ( 5-H.4 )
  • Interpret line plots ( 5-H.6 )
  • Frequency charts ( 5-H.8 )
  • Interpret stem-and-leaf plots ( 5-H.9 )
  • Circle graphs ( 5-H.11 )

L2.3.2 Statistical literacy

L2.3.2.1 compare statements with the features of simple data displays from statistical investigations or probability activities undertaken by others..

  • Which bar graph is correct? ( 2-Q.8 )
  • Which bar graph is correct? ( 3-R.4 )
  • Which line graph is correct? ( 3-R.11 )

L2.3.3 Probability

L2.3.3.1 investigate simple situations that involve elements of chance, recognising equal and different likelihoods and acknowledging uncertainty..

  • More, less and equally likely ( 2-W.1 )
  • Certain, probable, unlikely and impossible ( 4-V.1 )
  • Combinations ( 4-V.2 )
  • More, less and equally likely ( 5-S.1 )
  • Find the probability ( 5-S.3 )
  • Make predictions ( 5-S.4 )
  • Combinations ( 5-S.7 )

Aotearoa New Zealand's Curriculum Edition

nz maths problem solving level 5

Everything you need to teach Primary Mathematics

A comprehensive programme meticulously designed for year 0 to year 8..

Meet the goals  of Te Mātaiaho, the New Zealand curriculum, and the Te Tiriti o Waitangi principles. Make a  real difference  for all the children in your school.

Components of the Series

For teachers, teacher hub:, a digital platform with additional resources, including lesson slides, printable resources, video lessons, and professional learning development (pld) materials..

nz maths problem solving level 5

Teacher Guides:

One guide per term for each year group, providing 32 detailed teacher guides. as well as daily teacher guides for every year group for an in-depth and comprehensive teaching experience..

nz maths problem solving level 5

The Academy:

An online comprehensive professional development resource for teachers. it includes video courses covering various aspects of mathematics instruction, mastery teaching methods, and curriculum implementation., for students.

nz maths problem solving level 5

Two textbooks for each year group from Year 0 to Year 6 containing all the lessons required to cover the entire curriculum. Year 7 and Year 8 textbooks are coming soon.

nz maths problem solving level 5

Practice workbooks for each textbook, totalling 12 workbooks (soon to be 16 workbooks once Year 7 and Year 8 are released). Include topic reviews and assessments throughout the year.

nz maths problem solving level 5

Mathteasers:

Booklets for year 4 to year 8, with challenging questions to deepen maths understanding. these booklets are ideal for in-class, homework, or journaling time..

nz maths problem solving level 5

Parent Hub:

— a place where information, scope-and sequence, and downloadable resources are made available for parents., parent videos:, supporting materials to help parents understand the teaching methods that can be placed on any school website to share with parents..

nz maths problem solving level 5

Maths at Home:

Master maths at home offers 36 books and 6 year groups to help parents teach their children maths mastery in the home environment., beyond the series.

nz maths problem solving level 5

Collective Wisdom of dedicated community

Spearheaded by an army of best practice schools, there is a lot more support when you are a maths — no problem school, including a community network for schools to help each other..

nz maths problem solving level 5

Expert Professional Development

Teachers can be recognised for improving their skills and knowledge with our world class teacher qualification programme., schools can benefit from a network of qualified maths — no problem independent professionals who have gone through the rigorous programme..

nz maths problem solving level 5

Tailored Training and support for Schools

We offer tailored in-service training for schools, designed to meet the specific needs of your staff and students. our experienced trainers provide hands-on workshops, demonstration lessons, and collaborative planning sessions to help your teachers implement the maths — no problem approach effectively in their classrooms., when you can get everything you need to succeed, there’s no need to wait —, get started now:, key features, te mātaiaho, the new zealand curriculum, alignment:, our series is specifically being tailored to meet all the goals of te mātaiaho, the new zealand curriculum, ensuring complete coverage and progression., mastery approach:, we implement the mathematics mastery approach which ensures the fostering of deep, long-term understanding of mathematical concepts., concrete pictorial abstract (cpa) progression:, following recommendations from te mātaiaho, the new zealand curriculum, we utilise the cpa approach to build robust conceptual understanding in all learners., problem-solving and reasoning:, in accordance with curriculum goals, our series emphasises critical thinking, mathematical reasoning, and problem-solving skills..

nz maths problem solving level 5

Alignment with Te Mātaiaho Aims

Maths — no problem is meticulously designed to meet the goals of te mātaiaho, the new zealand curriculum. our programme ensures that pupils:, become fluent in the fundamentals of mathematics:, through our mastery approach and cpa progression, students develop conceptual understanding and the ability to recall and apply knowledge rapidly and accurately., reason mathematically:, our emphasis on problem-solving encourages students to follow lines of enquiry, conjecture relationships, and develop arguments using mathematical language., solve problems:, by applying their mathematics to a variety of routine and non-routine problems, students learn to break down problems into simpler steps and persevere in the face of difficulty to seek solutions., by aligning closely with these core aims, maths — no problem ensures that students in england receive a comprehensive mathematics education that prepares them for both further academic study and real-world applications., feel confident choosing a programme designed specifically for aotearoa new zealand for a top-tier mathematics education., why should you choose the maths — no problem programme, curriculum expertise:, our team includes experts in the te mātaiaho, the new zealand curriculum, ensuring accurate and comprehensive coverage., culturally diverse:, our programme is specifically designed to be culturally diverse and include te reo maori contexts for all students to enjoy., proven results in new zealand schools:, numerous schools across new zealand have reported significant improvements in mathematics attainment using our programme., continuous professional development:, we offer tailored pld to support teachers in delivering the te mātaiaho, the new zealand curriculum effectively., transform your school’s mathematics education with maths — no problem primary mathematics series for new zealand . ensure you’ve set your pupils up for success in academia and in the real-world. choose a programme that is being specifically designed to meet and exceed the expectations of te mātaiaho, the new zealand curriculum., does the series cover the entire te mātaiaho, the new zealand curriculum, our primary mathematics series follows the goals of the te mātaiaho, the new zealand curriculum, ensuring a comprehensive and enriched mathematical education., when is the best time to start, the best time to start is now, as there is no need to wait to implement the very best mathematics education programme. meet with one of our representatives to start your maths — no problem journey towards success., transform mathematics education in your school with maths — no problem primary mathematics series for aotearoa new zealand., contact us today to learn more about implementing maths — no problem in your school..

Image of Cookies

By clicking “Accept All” , you agree to the storing of cookies on your device to enhance site navigation, analyze site usage and assist in our marketing efforts.

The Ministry of Education has migrated nzmaths content to Tāhūrangi.

e-ako maths or e-ako Pāngarau along with e-ako PLD 360 are still available. Navigate there by choosing the option below.

You may need to update your nzmaths account the first time you log in to e-ako.

IMAGES

  1. multiplication problem solving nz maths

    nz maths problem solving level 5

  2. Problem Solving at Level 5

    nz maths problem solving level 5

  3. NZ Stage 5 Maths

    nz maths problem solving level 5

  4. This section of the nzmaths website has problem-solving lessons that

    nz maths problem solving level 5

  5. Problem Solving at Level 5

    nz maths problem solving level 5

  6. Place value problem solving nz maths / biblioteca.fundaciononce.es

    nz maths problem solving level 5

VIDEO

  1. A Nice Olympiad Question

  2. bring_test🧠___99__fail_for_genius_student_s_#shorts_#maths_#genius_#ytshortsGenius

  3. 2022 SQA Nat 5 Mathematics Paper 1: numbers 13 & 14

  4. Eureka math grade 5 module 1 lesson 1 place value introduction for problem set

  5. Eureka math grade 5 module 4 lesson 8 problem set

  6. Q3 Paper 1 SQA 2015 National 5 Mathematics Exam

COMMENTS

  1. Make up your own

    This open problem has students use their imaginations to create word problems of their own and to apply the mathematics that they are learning. You can adjust the difficulty of the problem by changing the numbers you place inside the envelopes. A series of similar problems span Number, Levels 1 to 5. These problems are Make Up Your Own, Level 2 ...

  2. Level 5

    Welcome to this forum. Feel free to ask questions, raise issues and seek clarification around Mathematics and Statistics at level five of the New Zealand Curriculum. Please choose the appropriate sub-strand of NZC to post under, or if your post is more general, post it in the "Generic issues" thread. This forum is moderated by the national and ...

  3. Problem Solving

    The lessons provide coverage of Levels 1 to 6 of The New Zealand Curriculum. The lessons are organised by level and curriculum strand. ... Level 5 Problems; ... This provides you with practical information about how to implement problem solving in your maths programme as well as some of the philosophical ideas behind problem solving.

  4. Kauri Pod Maths

    Kauri Pod Maths - Level 5 - Google Sites ... Level 5

  5. Home

    The Ministry of Education has migrated nzmaths content to Tāhūrangi. e-ako maths or e-ako Pāngarau along with e-ako PLD 360 are still available.

  6. PDF Mathematics Homework Book

    of 2 : 3 then there are 2 + 3 = 5 parts. One person gets 2 of the 5 parts and the other 3 of the 5 parts. $4.00 : $20.00 = 1 : 5 Simplify the following ratios. Problem Solving A line is to be drawn through A to divide the shape into two parts equal in area. Draw in the line. 1. 18 : 30 = 2. $2 : 50¢ = 3. 100 : 85 = 4.

  7. PDF Mathematics

    Approaches to Teaching and Learning in Mathematics 11 Problem-solving Approach 11 Catering for Individual Needs 12 ... Level 5 148 Algebra: Level 6 154 Algebra: Level 7 158 Algebra: Level 8 164 Statistics 169 ... education in New Zealand. Mathematics education provides the opportunity for students

  8. Nz Maths Problem Solving Lesson Plans: Level 5

    This Nz Maths Problem Solving Lesson Plans: Level 5 Lesson Plan is suitable for 6th - 8th Grade. Teachers, this New Zealand Problem Solving website is an outstanding resource for lesson plans. They are organized into the following categories: algebra, geometry, measurement, numbers, statistics, and logic and reasoning.

  9. Create lifelong mathematicians

    Maths — No Problem! resources, step-by-step teaching support, and online PLD videos are a click away. Request a free demo to see how it all works, or email [email protected] for more information. Request a School Demo. Designed for New Zealand Primary learners, Maths — No Problem! approach to maths mastery is proven to raise ...

  10. Problem Solving

    Developing excellence in problem solving with young learners. Becoming confident and competent as a problem solver is a complex process that requires a range of skills and experience. In this article, Jennie suggests that we can support this process in three principal ways.

  11. PDF Implementing PR1ME in the New Zealand Classroom

    one does not make a great programme or teacher. Effective teaching involves observing the mistakes-the struggles - of students grappling with mathematics, and drawing on an understanding of how students learn mathematics in order. o adjust explanations, examples, and practice. PR1ME Mathematics is based on the importance of supportin.

  12. For Schools

    Used by 200,000+ teachers, loved by 3,000,000+ students, Mathletics is the online maths program that has captivated students with the love of learning for over 15 years - and it's yours to try for free for 30 days. Perfect for learners aged 4-14 - Find hundreds of resources, games and activities that introduce concepts, reinforce learning ...

  13. MathsLog

    Dragon Maths workbooks 5 and 6 are specifically written for the Intermediate school levels of the New Zealand Mathematics and Statistics Curriculum. ... Apply the algebra of complex numbers in solving problems: 5 credits: External: 91578: Apply differentiation methods in solving problems ... valuable practice with complex reading comprehension ...

  14. End of year 5 / The standards / Mathematics standards ...

    Solving the problem using only mental calculations is also acceptable. The student uses multiplication facts and addition to correctly solve the problem. They may do so in any order and may work out the multiplication facts if they do not know them (for example, by calculating 4 x 6 as double 2 x 6 or 8 x 3 as 10 x 3 - 6).

  15. Fraction and Decimals unit with Problem Solving

    Order numbers in the range 0-100. Order the numbers in the range 0-1000. Order whole numbers in the range 0-1 000 000. Identify symbols for any fraction, including tenths, hundredths, thousandths, and those greater than 1.

  16. Mathematics and statistics

    Rich learning activities support teachers of year 9 and 10 students to explore the achievement objectives from level 5 of The New Zealand Curriculum. e-ako maths supports students to develop a sound knowledge and understanding of place value, fractions, algebra, and basic facts via a pathway of interactive learning modules.

  17. Problem Solving Years 5-6 NZ Teaching Resources

    Stage 5 (Phase 1-2) Addition and Subtraction Word Problems. 4.5 (2 Reviews) Year 5-8 Daily Brain Wake Up Activities (1) 4.9 (10 Reviews) The Mystery of the Pirate Captain Maths Mystery Game. 4.9 (22 Reviews) Time, Length and Capacity Problem Solving Challenge Cards. 5.0 (4 Reviews) New Zealand Directions Worksheet.

  18. Achievement objectives / Mathematics and statistics / The New Zealand

    From the start of Term 1, 2024 school boards must ensure their school's teaching and learning programmes meet requirements for structuring teaching time for reading, writing and maths in Years 0 - 8. Specialist schools with students in Years 0 - 8 must ensure this from the start of 2025.

  19. Problem Solving Years 5-6 NZ Teaching Resources

    Maths Problem Solving Challenge Cards - Level 2-3. 4.8 (11 reviews) Magic Square 5x5 Worksheets. 4.9 (9 reviews) New Zealand Maths Week: Rich Tasks Booklet (Level 3 & 4) ... NZ Money Transition Maths Problem-Solving Cards - New Zealand Levels 2 to 3. 5.0 (8 reviews) New Zealand Maths Week Pack. The Stolen Bike-a-thon Medal Maths Mystery Game.

  20. Maths Worksheets

    Maths worksheets for primary school kids. We have a wide range of fun and engaging Maths worksheets resources that you can use when teaching your NZ years 5-6 students. The Cinema Suspects Maths Mystery - Give your level 3 and 4 students the opportunity to apply a variety of maths skills while solving a fun mystery!

  21. Shape: Level 5

    The key idea of shape at Level 5 is that geometric properties of shapes can be used to calculate lengths and angles. At level 5 students are able to use rules relating to geometric properties to calculate unknown angles, and lengths. The properties used include internal and external angles of polygons, and angles on intersecting and parallel lines.

  22. IXL

    More, less and equally likely (2-W.1) Certain, probable, unlikely and impossible (4-V.1) Combinations (4-V.2) More, less and equally likely (5-S.1) Find the probability (5-S.3) Make predictions (5-S.4) Combinations (5-S.7) IXL's dynamic maths practice skills offer comprehensive coverage of the New Zealand year 5 curriculum. Find a skill to ...

  23. Aotearoa New Zealand National Curriculum Edition Primary Maths

    Transform your school's mathematics education with Maths — No Problem! Primary Mathematics Series for New Zealand. Ensure you've set your pupils up for success in academia and in the real-world. Choose a programme that is being specifically designed to meet and exceed the expectations of Te Mātaiaho, the New Zealand curriculum.

  24. Introducing OpenAI o1

    In our tests, the next model update performs similarly to PhD students on challenging benchmark tasks in physics, chemistry, and biology. We also found that it excels in math and coding. In a qualifying exam for the International Mathematics Olympiad (IMO), GPT-4o correctly solved only 13% of problems, while the reasoning model scored 83%.

  25. Statistical Literacy: Level 5

    The key idea of statistical literacy at level 5 is detecting flaws in the investigations of others. At level 5 the focus of the evaluation expands from "displays" (key idea at level 3) and findings (key idea at level 4) to the whole statistical or probability investigation including data collection methods, choice of measures and validity of findings of others.