## Mathematics – New Zealand – National Standards

• ##### 7.NA.1 – Apply additive and multiplicative strategies flexibly to whole numbers, ratios, and equivalent fractions (including percentages)
• 97 learning outcomes – click to view

Samples: Large numbers presented in tables. Reading large numbers. Write numbers – over one million (common).

• #### Large numbers presented in tables

• Activities: 1 course, 0 extra

• Activities: 1 course, 0 extra
• #### Write numbers – over one million

• Activities: 2 course, 0 extra
• #### Comparing numbers of any size

• Activities: 1 course, 0 extra
• #### Challenge puzzle - flow diagram

• Activities: 1 course, 0 extra
• #### Square root

• Activities: 1 course, 0 extra
• #### Negative numbers on a number line

• Activities: 2 course, 1 extra
• #### Prime and Composite Numbers

• Activities: 1 course, 0 extra
• #### Order of Operations

• Activities: 1 course, 0 extra
• #### Continuing Patterns

• Activities: 1 course, 0 extra
• #### Simplifying Ratios

• Activities: 1 course, 0 extra
• #### Calculating Equivalent Ratios

• Activities: 1 course, 0 extra
• #### Simplifying Ratios involving Units

• Activities: 1 course, 0 extra
• #### Numbers

• Activities: 1 course, 5 extra
• #### Problem Solving - Unitary Method

• Activities: 1 course, 0 extra
• #### Integers on a number line

• Activities: 1 course, 0 extra
• #### Adding two digit numbers using blocks (with regrouping)

• Activities: 1 course, 0 extra
• #### Factors

• Activities: 4 course, 2 extra
• #### Prime numbers

• Activities: 2 course, 0 extra
• #### Identifying prime numbers < 100 (puzzle)

• Activities: 1 course, 0 extra
• #### Identifying prime numbers

• Activities: 1 course, 0 extra
• #### Multiplying by multiples of ten

• Activities: 4 course, 12 extra
• #### Multiplying two-digit numbers

• Activities: 5 course, 10 extra
• #### Multiplying by 2 digit numbers (problem solving)

• Activities: 1 course, 4 extra
• #### Index notation.

• Activities: 4 course, 6 extra
• #### Index notation

• Activities: 1 course, 0 extra
• #### Square root

• Activities: 3 course, 2 extra
• #### Square roots

• Activities: 1 course, 0 extra
• #### Balancing equations - Equivalent number sentences

• Activities: 5 course, 10 extra
• #### Challenge puzzle - balancing equations

• Activities: 1 course, 0 extra
• #### Order of operations : Multiply before adding

• Activities: 3 course, 0 extra
• #### Order of operations - Multiply before subtracting

• Activities: 2 course, 0 extra
• #### Order of operations - mixed

• Activities: 4 course, 2 extra
• #### Comparing fractions

• Activities: 4 course, 0 extra
• #### Fractions of a number

• Activities: 11 course, 2 extra
• #### Calculating percentages

• Activities: 1 course, 0 extra
• #### Equivalent fractions

• Activities: 7 course, 10 extra
• #### Simplifying fractions

• Activities: 4 course, 2 extra
• #### Improper and mixed number fractions

• Activities: 6 course, 1 extra
• #### Division- answers as fractions

• Activities: 2 course, 0 extra
• #### Converting mixed numbers to improper frac.

• Activities: 0 course, 1 extra
• #### Adding and subtracting related fractions

• Activities: 6 course, 1 extra
• #### Multiplying fractions

• Activities: 0 course, 3 extra
• #### Dividing whole numbers by fractions

• Activities: 3 course, 0 extra

• Activities: 1 course, 0 extra
• #### Adding and subtracting fractions

• Activities: 3 course, 0 extra
• #### Multiplying and Dividing Fractions

• Activities: 4 course, 0 extra
• #### Adding fractions with the same denominators

• Activities: 0 course, 1 extra
• #### Increasing and decreasing by percentages

• Activities: 3 course, 1 extra
• #### Simple Interest

• Activities: 0 course, 1 extra
• #### Discounting

• Activities: 0 course, 1 extra
• #### Mentals 109

• Activities: 1 course, 0 extra
• #### Mentals 110

• Activities: 1 course, 0 extra
• #### Mentals 111

• Activities: 1 course, 0 extra
• #### Mentals 112

• Activities: 1 course, 0 extra
• #### Mentals 113

• Activities: 1 course, 0 extra
• #### Mentals 114

• Activities: 1 course, 0 extra
• #### Mentals 115

• Activities: 1 course, 0 extra
• #### Mentals 116

• Activities: 1 course, 0 extra
• #### Mentals 117

• Activities: 1 course, 0 extra
• #### Mentals 118

• Activities: 1 course, 0 extra
• #### Mentals 119

• Activities: 1 course, 0 extra
• #### Mentals 120

• Activities: 1 course, 0 extra
• #### Mentals 121

• Activities: 1 course, 0 extra
• #### Mentals 122

• Activities: 1 course, 0 extra
• #### Mentals 123

• Activities: 1 course, 0 extra
• #### Mentals 124

• Activities: 1 course, 0 extra
• #### Mentals 125

• Activities: 1 course, 0 extra
• #### Mentals 126

• Activities: 1 course, 0 extra
• #### Mentals 127

• Activities: 1 course, 0 extra
• #### Mentals 128

• Activities: 1 course, 0 extra
• #### Mentals 129

• Activities: 1 course, 0 extra
• #### Mentals 130

• Activities: 1 course, 0 extra
• #### Mentals 131

• Activities: 1 course, 0 extra
• #### Mentals 132

• Activities: 1 course, 0 extra
• #### Mentals 133

• Activities: 1 course, 0 extra
• #### Mentals 134

• Activities: 1 course, 0 extra
• #### Mentals 135

• Activities: 1 course, 0 extra
• #### Mentals 136

• Activities: 1 course, 0 extra
• #### Mentals 137

• Activities: 1 course, 0 extra
• #### Mentals 138

• Activities: 1 course, 0 extra
• #### Mentals 139

• Activities: 1 course, 0 extra
• #### Mentals 140

• Activities: 1 course, 0 extra
• #### Mentals 141

• Activities: 1 course, 0 extra
• #### Mentals 142

• Activities: 1 course, 0 extra
• #### Mentals 143

• Activities: 1 course, 0 extra
• #### Mentals 144

• Activities: 1 course, 0 extra
• #### Money (problem solving)

• Activities: 6 course, 0 extra
• #### Cost according to mass, length or volume

• Activities: 1 course, 0 extra

• Activities: 1 course, 0 extra
• #### Two step calculations(money)

• Activities: 1 course, 0 extra
• #### Profit and loss

• Activities: 1 course, 0 extra
• #### Calculating interest on loans

• Activities: 1 course, 0 extra
• #### Understanding loans

• Activities: 1 course, 0 extra
• #### Understanding expenditure - My Cell Phone

• Activities: 1 course, 0 extra
• #### Discounting

• Activities: 4 course, 0 extra
• #### Understanding invoices

• Activities: 1 course, 0 extra
• ##### 7.NA.2 – Apply additive strategies to decimals
• 22 learning outcomes – click to view

Samples: Common decimals from 0 to 1 (tenths). Matching fractions to decimals. Converting 10ths and 100ths to decimals.

• #### Common decimals from 0 to 1 (tenths)

• Activities: 4 course, 0 extra
• #### Matching fractions to decimals

• Activities: 1 course, 2 extra
• #### Converting 10ths and 100ths to decimals

• Activities: 1 course, 0 extra
• #### Comparing fractions and decimals (10ths 100ths)

• Activities: 1 course, 0 extra
• #### Decimals on a number line.

• Activities: 2 course, 2 extra
• #### Compare and order decimals

• Activities: 1 course, 1 extra
• #### Read and write decimals in the thousandths

• Activities: 1 course, 0 extra
• #### Comparing decimals in the thousandths

• Activities: 1 course, 0 extra
• #### Place value (thousandths)

• Activities: 1 course, 0 extra
• #### Place value - thousandths

• Activities: 1 course, 0 extra
• #### Rounding decimals to whole numbers

• Activities: 1 course, 0 extra
• #### Dividing whole numbers by 10 (problem solving)

• Activities: 5 course, 0 extra
• #### Matching fractions, decimals and percentages.

• Activities: 3 course, 6 extra

• Activities: 5 course, 3 extra
• #### Subtracting decimals

• Activities: 4 course, 3 extra
• #### Multiplying decimals by 10

• Activities: 2 course, 4 extra
• #### Multiplying decimals by a whole number

• Activities: 2 course, 6 extra
• #### Multiplying decimals by 1000

• Activities: 1 course, 0 extra
• #### Decimal Numbers - Expanded Form

• Activities: 1 course, 0 extra
• #### Percentages as Decimals

• Activities: 1 course, 0 extra
• #### Multiplying decimals by decimals

• Activities: 0 course, 1 extra
• #### Changing mixed fractions to decimals

• Activities: 0 course, 1 extra
• ##### 7.NA.3 – Balance positive and negative amounts
• 7 learning outcomes – click to view

Samples: Negative numbers. Order of Operations. Numbers. Integers on a number line. Brackets in number operations.

• #### Negative numbers on a number line

• Activities: 2 course, 1 extra
• #### Order of Operations

• Activities: 1 course, 0 extra
• #### Numbers

• Activities: 1 course, 5 extra
• #### Integers on a number line

• Activities: 1 course, 0 extra
• #### Brackets in number operations

• Activities: 1 course, 0 extra
• #### Brackets in number operations - Two Step

• Activities: 1 course, 0 extra
• #### Balancing equations - Equivalent number sentences

• Activities: 4 course, 2 extra
• ##### 7.NA.4 – Find and represent relationships in spatial and number patterns, using:
• 7.NA.4.a – Tables and graphs

• 2 learning outcomes – click to view

Samples: Substituting numbers for letters. Substituting Numerals. Equations Involving Addition. Calculating the nth Term.

• #### Substituting numbers for letters

• Activities: 1 course, 0 extra
• #### Substituting Numerals

• Activities: 1 course, 4 extra
• 7.NA.4.b – General rules for linear relationships.

• 12 learning outcomes – click to view

Samples: Represent problems using algebraic equation. Continue number patterns. Rules defining number patterns.

• #### Represent problems using algebraic equation

• Activities: 1 course, 0 extra
• #### Continuing number patterns

• Activities: 2 course, 0 extra
• #### Rules defining number patterns

• Activities: 1 course, 0 extra
• #### Equivalent number sentences (written form)

• Activities: 1 course, 0 extra
• #### Applying rules to number tables

• Activities: 1 course, 0 extra
• #### Identifying expressions

• Activities: 1 course, 2 extra
• #### Continuing number sequences

• Activities: 1 course, 4 extra
• #### Substituting numbers for letters

• Activities: 1 course, 0 extra
• #### Substituting Numerals

• Activities: 1 course, 4 extra
• #### Subtraction of Like Terms

• Activities: 0 course, 1 extra
• #### Patterns and Algebra

• Activities: 0 course, 2 extra
• #### Equations Involving Subtraction

• Activities: 1 course, 0 extra
• ##### 7.GM.1 – Measure time and the attributes of objects, using metric and other standard measures
• 15 learning outcomes – click to view

Samples: 24 hour time. Interpret timetables. Time. Converting between grams and kilograms. The tonne. Estimating mass.

• #### 24-hour time

• Activities: 8 course, 7 extra
• #### Interpreting timetables

• Activities: 2 course, 6 extra
• #### Time (problem solving)

• Activities: 1 course, 0 extra
• #### Converting between grams and kilograms

• Activities: 1 course, 0 extra
• #### Units for measuring mass

• Activities: 4 course, 4 extra
• #### Estimating mass

• Activities: 2 course, 0 extra

• Activities: 2 course, 0 extra
• #### Mass (problem solving)

• Activities: 1 course, 0 extra
• #### Mass and money

• Activities: 1 course, 0 extra
• #### Estimating mass (animals)

• Activities: 1 course, 0 extra
• #### Mass (problem solving)

• Activities: 0 course, 2 extra
• #### Mass (converting between units)

• Activities: 2 course, 0 extra
• #### Cost based on mass

• Activities: 4 course, 0 extra
• #### Mass (problem solving)

• Activities: 2 course, 6 extra
• #### Flash based activities

• Activities: 0 course, 5 extra
• ##### 7.GM.2 – Make simple conversions between units, using whole numbers
• 10 learning outcomes – click to view

Samples: Converting between kilometers and meters. Units Of Measure Metric. Perimeter. Perimeter of irregular shapes.

• #### Converting between kilometers and meters

• Activities: 2 course, 0 extra
• #### Units when measuring length (mm)

• Activities: 4 course, 2 extra
• #### Perimeter of squares and rectangles.

• Activities: 3 course, 5 extra
• #### Perimeter of irregular shapes.

• Activities: 3 course, 12 extra
• #### Challenge puzzle -perimeter

• Activities: 1 course, 0 extra
• #### Length - problem solving

• Activities: 1 course, 0 extra
• #### Length and money - problem solving

• Activities: 1 course, 0 extra
• #### Converting between units of length

• Activities: 2 course, 1 extra
• #### Length - problem solving

• Activities: 4 course, 4 extra
• #### Calculating distances on a map

• Activities: 2 course, 1 extra
• ##### 7.GM.3 – Use side or edge lengths to find the perimeters and areas of rectangles and parallelograms and the volumes of cuboids, given whole-number dimensions
• 19 learning outcomes – click to view

Samples: Perimeter and Area. Calculating area. Calculating the Area of Irregular Shapes.

• #### Perimeter and Area

• Activities: 1 course, 0 extra
• #### Calculating area (squares and rectangles)

• Activities: 5 course, 8 extra
• #### Area of irregular shapes

• Activities: 3 course, 2 extra
• #### Calculate the area of irregular shapes.

• Activities: 0 course, 3 extra
• #### Area

• Activities: 1 course, 0 extra
• #### Challenge Puzzle - area of irregular shapes

• Activities: 1 course, 0 extra
• #### Area (problem solving)

• Activities: 2 course, 7 extra
• #### Choosing appropriate units for measuring volume (mL or L)

• Activities: 1 course, 0 extra
• #### Estimating volume

• Activities: 1 course, 0 extra
• #### Choosing appropriate units for measuring volume (cm3 or m3)

• Activities: 1 course, 0 extra
• #### Volume of cubes and rectangular prisms using centicubes

• Activities: 2 course, 0 extra
• #### Volume (problem solving)

• Activities: 1 course, 0 extra
• #### Volume and money

• Activities: 1 course, 0 extra
• #### Volume and Capacity

• Activities: 2 course, 7 extra
• #### Volume of rectangular prisms

• Activities: 4 course, 6 extra
• #### Connect volume (cm3) to capacity (mL)

• Activities: 1 course, 0 extra
• #### Volume (problem solving)

• Activities: 2 course, 0 extra
• #### Volume and money

• Activities: 1 course, 0 extra
• ##### 7.GM.4 – Sort two- and three-dimensional shapes into classes, defining properties and justifying the decisions made
• 18 learning outcomes – click to view

Samples: Measuring obtuse angles using a protractor. Estimating the size of angles. Angles within a circle. Types of angles.

• #### Measuring obtuse angles using a protractor

• Activities: 1 course, 3 extra
• #### Estimate the size of angles.

• Activities: 1 course, 0 extra
• #### Angles within a circle

• Activities: 1 course, 0 extra
• #### Naming angles

• Activities: 5 course, 3 extra
• #### Naming angles within shapes

• Activities: 1 course, 0 extra
• #### Measure and classify angles.

• Activities: 1 course, 2 extra
• #### Angles in shapes

• Activities: 1 course, 0 extra
• #### Angles on a straight line

• Activities: 2 course, 1 extra
• #### Challenge puzzle - angles

• Activities: 1 course, 0 extra
• #### Splitting shapes

• Activities: 2 course, 0 extra
• #### Attributes of two dimensional shapes

• Activities: 2 course, 0 extra
• #### Grouping shapes based on attributes

• Activities: 1 course, 0 extra
• #### Naming triangles

• Activities: 3 course, 1 extra
• #### Parts of a Circle

• Activities: 5 course, 0 extra
• #### Drawing three-dimensional objects

• Activities: 11 course, 9 extra
• #### Nets of three dimensional objects

• Activities: 4 course, 4 extra
• #### Prisms and pyramids

• Activities: 2 course, 8 extra
• #### Challenge Puzzle - prisms and pyramids

• Activities: 1 course, 0 extra
• ##### 7.GM.5 – Identify and describe the transformations that have produced given shapes or patterns
• 5 learning outcomes – click to view

Samples: Identify transformations - pictures. Rotational symmetry - shapes. Enlarging graphics using a grid.

• #### Transformations

• Activities: 2 course, 2 extra
• #### Rotational symmetry

• Activities: 2 course, 1 extra
• #### Enlargement transformation

• Activities: 2 course, 10 extra
• #### Translations, reflections and rotations

• Activities: 3 course, 1 extra
• #### Cartesian Planes

• Activities: 3 course, 5 extra
• ##### 7.GM.6 – Create or identify nets for rectangular prisms and other simple solids
• 3 learning outcomes – click to view

Samples: Drawing 3D objects. Matching - three-dimensional objects with their nets. Naming prisms and pyramids.

• #### Drawing three-dimensional objects

• Activities: 11 course, 9 extra
• #### Nets of three dimensional objects

• Activities: 4 course, 4 extra
• #### Prisms and pyramids

• Activities: 2 course, 8 extra
• ##### 7.GM.7 – Draw plan, front, side, and perspective views of objects
• 4 learning outcomes – click to view

Samples: Drawing 3D objects. Matching - three-dimensional objects with their nets. Naming prisms and pyramids.

• #### Drawing three-dimensional objects

• Activities: 11 course, 9 extra
• #### Nets of three dimensional objects

• Activities: 4 course, 4 extra
• #### Prisms and pyramids

• Activities: 2 course, 8 extra
• #### Challenge Puzzle - prisms and pyramids

• Activities: 1 course, 0 extra
• ##### 7.GM.8 – Describe locations and give directions, using grid references, simple scales, turns, and points of the compass.
• 4 learning outcomes – click to view

Samples: Using grid references. Using Coordinates to Read a Map. Cartesian Plane - Identify location.

• #### Using grid references

• Activities: 2 course, 10 extra
• #### Location using a grid reference.

• Activities: 1 course, 1 extra
• #### Cartesian Planes

• Activities: 3 course, 5 extra
• #### Interpreting maps

• Activities: 2 course, 4 extra
• ##### 7.S.1 – Investigate summary, comparison, and relationship questions by using the statistical enquiry cycle:
• 7.S.1.a – Gather or access multivariate category and measurement data

• 9 learning outcomes – click to view

Samples: Pie Graphs. Interpreting column graphs - 5. Interpreting Dot Plots. Adding information to a spreadsheet.

• #### Pie graphs

• Activities: 5 course, 0 extra
• #### Column graphs

• Activities: 2 course, 0 extra
• #### Dot plots

• Activities: 1 course, 1 extra
• #### Interpret data presented in a spreadsheet

• Activities: 0 course, 3 extra
• #### Column graphs

• Activities: 3 course, 3 extra
• #### Dot plots

• Activities: 1 course, 2 extra
• #### Line graphs

• Activities: 2 course, 0 extra
• #### Pie graphs

• Activities: 2 course, 1 extra
• #### Interpret data presented using a pie graph

• Activities: 0 course, 5 extra
• 7.S.1.b – Sort data and display it in multiple ways, identifying patterns and variations

• 9 learning outcomes – click to view

Samples: Pie Graphs. Interpreting column graphs - 5. Interpreting Dot Plots. Adding information to a spreadsheet.

• #### Pie graphs

• Activities: 5 course, 0 extra
• #### Column graphs

• Activities: 2 course, 0 extra
• #### Dot plots

• Activities: 1 course, 1 extra
• #### Interpret data presented in a spreadsheet

• Activities: 0 course, 3 extra
• #### Column graphs

• Activities: 3 course, 3 extra
• #### Dot plots

• Activities: 1 course, 2 extra
• #### Line graphs

• Activities: 2 course, 0 extra
• #### Pie graphs

• Activities: 2 course, 1 extra
• #### Interpret data presented using a pie graph

• Activities: 0 course, 5 extra
• 7.S.1.c – Interpret results in context, accepting that samples vary and have no effect on one another

• 9 learning outcomes – click to view

Samples: Pie Graphs. Interpreting column graphs - 5. Interpreting Dot Plots. Adding information to a spreadsheet.

• #### Pie graphs

• Activities: 5 course, 0 extra
• #### Column graphs

• Activities: 2 course, 0 extra
• #### Dot plots

• Activities: 1 course, 1 extra
• #### Interpret data presented in a spreadsheet

• Activities: 0 course, 3 extra
• #### Column graphs

• Activities: 3 course, 3 extra
• #### Dot plots

• Activities: 1 course, 2 extra
• #### Line graphs

• Activities: 2 course, 0 extra
• #### Pie graphs

• Activities: 2 course, 1 extra
• #### Interpret data presented using a pie graph

• Activities: 0 course, 5 extra
• ##### 7.S.2 – Order the likelihoods of outcomes for situations involving chance, checking for consistency between experimental results and models of all possible outcomes.
• 5 learning outcomes – click to view

Samples: Chance and Probability (as fractions). Chance from 0 to 1. Describe probabilities using decimals.

• #### Chance and Probability (as fractions)

• Activities: 2 course, 4 extra
• #### Recognise that probabilities range from 0 to 1.

• Activities: 1 course, 0 extra
• #### Describe probabilities using decimals.

• Activities: 3 course, 0 extra
• #### Chance (percentages)

• Activities: 3 course, 1 extra
• #### Describe probabilities (fractions)

• Activities: 1 course, 2 extra