Mathematics – New Zealand – National Standards
7.NA – Number and algebra
7.NA.1 – Apply additive and multiplicative strategies flexibly to whole numbers, ratios, and equivalent fractions (including percentages)

119 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

Reading large numbers
 Activities: 1 course, 0 extra

Write numbers – over one million (common)
 Activities: 1 course, 0 extra

Write numbers – over one million
 Activities: 1 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  an introduction
 Activities: 1 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

Problem Solving
 Activities: 1 course, 5 extra

Problem Solving  Unitary Method
 Activities: 1 course, 0 extra

Integers on a Number Line
 Activities: 1 course, 0 extra

Place value  Adding two digit numbers (with regrouping)
 Activities: 1 course, 0 extra

How many factors?
 Activities: 1 course, 0 extra

Identifying factors
 Activities: 1 course, 0 extra

Identifying prime numbers
 Activities: 1 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 10
 Activities: 2 course, 3 extra

Long Multiplication
 Activities: 4 course, 2 extra

Long Multiplication  problem solving
 Activities: 2 course, 5 extra

Index notation.
 Activities: 3 course, 3 extra

Index notation
 Activities: 1 course, 0 extra

Square roots
 Activities: 3 course, 0 extra

Square roots
 Activities: 1 course, 0 extra

Balancing equations  Equivalent number sentences
 Activities: 5 course, 2 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, 0 extra

Equivalence to a half  identifying the numerator
 Activities: 1 course, 0 extra

Fractions of numbers
 Activities: 1 course, 0 extra

Compare fractions to a half
 Activities: 1 course, 0 extra

Comparing fractions  identify the smallest
 Activities: 1 course, 0 extra

Comparing fractions  identify the largest
 Activities: 1 course, 0 extra

Comparing fractions (< = >)
 Activities: 1 course, 0 extra

Simple fractions of quantities
 Activities: 5 course, 0 extra

Simple fractions of quantities  problem solving
 Activities: 2 course, 2 extra

Calculating percentages
 Activities: 3 course, 1 extra

Calculating equivalent fractions
 Activities: 4 course, 6 extra

Reducing fractions to their simplest form.
 Activities: 2 course, 2 extra

Convert improper fractions to mixed numbers
 Activities: 2 course, 0 extra

Division Answers as fractions
 Activities: 1 course, 0 extra

Division  Answers as fractions
 Activities: 1 course, 0 extra

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

Addition and subtraction of related fractions.
 Activities: 4 course, 0 extra

Multiplying Fractions
 Activities: 1 course, 2 extra

Addition of fractions with unlike denominators (with clues)
 Activities: 1 course, 0 extra

Addition of fractions with unlike denominators
 Activities: 1 course, 0 extra

Dividing whole numbers by fractions
 Activities: 1 course, 0 extra

Subtraction of fractions (unlike denominators)
 Activities: 1 course, 0 extra

Percentages
 Activities: 4 course, 0 extra

Adding mixed fractions
 Activities: 1 course, 0 extra

Simplifying answers to their lowest form
 Activities: 1 course, 0 extra

Solving (by division) improper fractions
 Activities: 1 course, 0 extra

Converting improper fractions to mixed fractions (in equations)
 Activities: 1 course, 0 extra

Adding and subtracting fractions
 Activities: 1 course, 0 extra

Multiplying fractions
 Activities: 1 course, 0 extra

Divide whole numbers by fractions
 Activities: 1 course, 0 extra

Multiplying Mixed Fractions
 Activities: 1 course, 0 extra

Multiplying and Dividing Fractions
 Activities: 1 course, 0 extra

Adding fractions with the same denominators
 Activities: 1 course, 0 extra

Increasing by a Percentage
 Activities: 1 course, 0 extra

Simple Interest
 Activities: 1 course, 0 extra

Decreasing by a Percentage
 Activities: 1 course, 0 extra

Discounting
 Activities: 1 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

Calculations involving money
 Activities: 1 course, 0 extra

Calculate cost according to mass, length or volume
 Activities: 1 course, 0 extra

Money
 Activities: 1 course, 0 extra

Calculating best buys.
 Activities: 1 course, 0 extra

Calculating discounts
 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

Calculating discounts
 Activities: 1 course, 0 extra

Understanding invoices
 Activities: 1 course, 0 extra


119 learning outcomes – click to view
7.NA.2 – Apply additive strategies to decimals

22 learning outcomes – click to view
Samples: Introduction to decimals: Activity 1. Equivalence between fractions and decimals: Activity 1.

Introduction to decimals.
 Activities: 2 course, 0 extra

Equivalence between fractions and decimals.
 Activities: 2 course, 2 extra

Converting tenths and hundredths to decimals
 Activities: 1 course, 0 extra

Comparing fractions and decimals  tenths and hundredths
 Activities: 1 course, 0 extra

Decimals on a number line.
 Activities: 2 course, 1 extra

Compare and order decimals.
 Activities: 2 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

Thousandths  identifying the value of digits
 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
 Activities: 4 course, 0 extra

Matching fractions, decimals and percentages.
 Activities: 3 course, 1 extra

Adding decimals
 Activities: 5 course, 1 extra

Subtracting decimals
 Activities: 5 course, 0 extra

Multiplying decimals by 10
 Activities: 2 course, 0 extra

Multiplying decimals by a whole number
 Activities: 3 course, 4 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


22 learning outcomes – click to view
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  an introduction
 Activities: 1 course, 1 extra

Order of operations
 Activities: 1 course, 0 extra

Problem Solving
 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, 0 extra


7 learning outcomes – click to view
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 1. Input  Output. Algebraic Techniques. Input  Output.

Introducing variables
 Activities: 5 course, 0 extra

Substituting values for variables
 Activities: 5 course, 1 extra


2 learning outcomes – click to view
7.NA.4.b – General rules for linear relationships.

12 learning outcomes – click to view
Samples: Represent problems using algebraic equation. Continue number patterns (multiplication).

Represent problems using algebraic equation
 Activities: 1 course, 0 extra

Describe and continue number patterns resulting from multiplication
 Activities: 1 course, 0 extra

Rules defining number patterns
 Activities: 1 course, 0 extra

Solve equivalent number sentences presented in written form
 Activities: 1 course, 0 extra

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

Identifying expressions
 Activities: 1 course, 1 extra

Continuing number sequences
 Activities: 1 course, 6 extra

Introducing variables
 Activities: 5 course, 0 extra

Substituting values for variables
 Activities: 5 course, 1 extra

Subtraction of Like Terms
 Activities: 1 course, 0 extra

Patterns and Algebra
 Activities: 0 course, 1 extra

Equations Involving Subtraction
 Activities: 1 course, 0 extra


12 learning outcomes – click to view
7.GM – Geometry and measurement
7.GM.1 – Measure time and the attributes of objects, using metric and other standard measures

19 learning outcomes – click to view
Samples: 24 hour time  am or pm. 24 Hour Time. Interpret timetables. Time. Converting between grams and kilograms. The tonne.

24 hour time  am or pm
 Activities: 2 course, 1 extra

24 Hour Time
 Activities: 1 course, 0 extra

Interpret timetables
 Activities: 1 course, 1 extra

Time
 Activities: 1 course, 0 extra

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

Choosing appropriate units for measuring mass
 Activities: 2 course, 0 extra

Estimating mass
 Activities: 1 course, 0 extra

Reading scales
 Activities: 1 course, 0 extra

Mass
 Activities: 1 course, 0 extra

Mass and money
 Activities: 1 course, 0 extra

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

Cost of food according to mass
 Activities: 1 course, 0 extra

Mass
 Activities: 1 course, 0 extra

Mass
 Activities: 1 course, 0 extra

Mass and Money
 Activities: 1 course, 0 extra

Calculations involving mass
 Activities: 1 course, 0 extra

Reading scales and calculating costs
 Activities: 1 course, 0 extra

Mass printables (extension)
 Activities: 0 course, 5 extra

Flash based activities
 Activities: 0 course, 1 extra


19 learning outcomes – click to view
7.GM.2 – Make simple conversions between units, using whole numbers

10 learning outcomes – click to view
Samples: Units of measure. Units of measure. Calculating Perimeter Regular Shapes. Calculating perimeter  irregular shapes.

Converting between kilometers and meters
 Activities: 1 course, 0 extra

Choose appropriate units when measuring length.
 Activities: 2 course, 0 extra

Perimeter of squares and rectangles.
 Activities: 2 course, 0 extra

Perimeter of irregular shapes.
 Activities: 2 course, 5 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

Using decimals and matching equivalence.
 Activities: 1 course, 0 extra

Length  problem solving
 Activities: 3 course, 4 extra

Distances on maps.
 Activities: 2 course, 0 extra


10 learning outcomes – click to view
7.GM.3 – Use side or edge lengths to find the perimeters and areas of rectangles and parallelograms and the volumes of cuboids, given wholenumber dimensions

19 learning outcomes – click to view
Samples: Perimeter and Area. Calculating area using a grid. Calculating the Area of Irregular Shapes. Area.

Perimeter and Area
 Activities: 1 course, 0 extra

How to calculate the area of squares and rectangles.
 Activities: 3 course, 0 extra

Area of irregular shapes
 Activities: 3 course, 1 extra

Area
 Activities: 1 course, 0 extra

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

Area
 Activities: 1 course, 4 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: 1 course, 0 extra

Volume
 Activities: 1 course, 0 extra

Volume and money
 Activities: 1 course, 0 extra

Volume and Capacity
 Activities: 3 course, 4 extra

Volume
 Activities: 1 course, 0 extra

The cubic metre
 Activities: 2 course, 0 extra

Volume of rectangular prisms
 Activities: 3 course, 2 extra

Connect volume (cm3) to capacity (mL)
 Activities: 1 course, 0 extra

Volume
 Activities: 1 course, 0 extra

Volume and money
 Activities: 1 course, 0 extra


19 learning outcomes – click to view
7.GM.4 – Sort two and threedimensional shapes into classes, defining properties and justifying the decisions made

18 learning outcomes – click to view
Samples: Measuring angles using a protractor: Activity 1. Estimating the size of angles. Angles within a circle.

Measure and compare angles.
 Activities: 4 course, 2 extra

Estimate the size of angles.
 Activities: 1 course, 0 extra

Angles within a circle
 Activities: 1 course, 0 extra

Classify angles by naming them.
 Activities: 4 course, 1 extra

Naming angles within shapes
 Activities: 1 course, 0 extra

Measure and classify angles.
 Activities: 1 course, 2 extra

Estimating, measuring and comparing angles
 Activities: 2 course, 0 extra

Angle sum of straight lines, triangles and quadrilaterals.
 Activities: 1 course, 4 extra

Challenge puzzle  angles
 Activities: 1 course, 0 extra

Identify twodimensional shapes created when combining or splitting shapes
 Activities: 1 course, 0 extra

Attributes of two dimensional shapes
 Activities: 1 course, 0 extra

Grouping two dimensional shapes based on their attributes
 Activities: 1 course, 0 extra

Naming triangles
 Activities: 1 course, 1 extra

Parts of a Circle
 Activities: 4 course, 0 extra

Draw threedimensional shapes
 Activities: 5 course, 8 extra

Nets of three dimensional objects
 Activities: 4 course, 2 extra

Identifying properties and naming prisms and pyramids
 Activities: 2 course, 8 extra

Challenge Puzzle  prisms and pyramids
 Activities: 1 course, 0 extra


18 learning outcomes – click to view
7.GM.5 – Identify and describe the transformations that have produced given shapes or patterns

5 learning outcomes – click to view
Samples: Translations, reflections or rotations: Activity 1. Rotational symmetry. Enlarging graphics using a grid.

Identify translations, reflections and rotations.
 Activities: 2 course, 0 extra

Identify rotational symmetry.
 Activities: 0 course, 1 extra

Apply enlargement transformation
 Activities: 1 course, 3 extra

Identify combinations of translations, reflections and rotations.
 Activities: 1 course, 0 extra

Use the cartesian coordinate system to identify location.
 Activities: 2 course, 2 extra


5 learning outcomes – click to view
7.GM.6 – Create or identify nets for rectangular prisms and other simple solids

3 learning outcomes – click to view
Samples: Drawing 3D Objects  cylinder. Matching  threedimensional objects with their nets. Naming prisms and pyramids.

Draw threedimensional shapes
 Activities: 5 course, 8 extra

Nets of three dimensional objects
 Activities: 4 course, 2 extra

Identifying properties and naming prisms and pyramids
 Activities: 2 course, 8 extra


3 learning outcomes – click to view
7.GM.7 – Draw plan, front, side, and perspective views of objects

4 learning outcomes – click to view
Samples: Drawing 3D Objects  cylinder. Matching  threedimensional objects with their nets. Naming prisms and pyramids.

Draw threedimensional shapes
 Activities: 5 course, 8 extra

Nets of three dimensional objects
 Activities: 4 course, 2 extra

Identifying properties and naming prisms and pyramids
 Activities: 2 course, 8 extra

Challenge Puzzle  prisms and pyramids
 Activities: 1 course, 0 extra


4 learning outcomes – click to view
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: Grid reference to identify location. Using Coordinates to Read a Map. Cartesian coordinate system: Activity 1.

Use grid reference to identify location
 Activities: 1 course, 7 extra

Describe locations using a grid reference.
 Activities: 1 course, 0 extra

Use the cartesian coordinate system to identify location.
 Activities: 2 course, 2 extra

Interpret more complex maps
 Activities: 2 course, 1 extra


4 learning outcomes – click to view
7.S – Statistics
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

10 learning outcomes – click to view
Samples: Graphs. Interpreting column graphs  5. Interpreting Dot Plots. Interpreting a pie graph. Interpret a spreadsheet.

Graphs
 Activities: 1 course, 0 extra

Interpret data presented in column graphs
 Activities: 1 course, 0 extra

Interpret dot plots
 Activities: 1 course, 1 extra

Interpret data presented using a simple pie graph
 Activities: 1 course, 0 extra

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

Interpret and compare data presented using a column graph
 Activities: 1 course, 2 extra

Interpret dot plots
 Activities: 1 course, 0 extra

Interpret line graphs
 Activities: 1 course, 0 extra

Interpreting pie graphs
 Activities: 1 course, 0 extra

Interpret data presented using a pie graph
 Activities: 1 course, 7 extra


10 learning outcomes – click to view
7.S.1.b – Sort data and display it in multiple ways, identifying patterns and variations

10 learning outcomes – click to view
Samples: Graphs. Interpreting column graphs  5. Interpreting Dot Plots. Interpreting a pie graph. Interpret a spreadsheet.

Graphs
 Activities: 1 course, 0 extra

Interpret data presented in column graphs
 Activities: 1 course, 0 extra

Interpret dot plots
 Activities: 1 course, 1 extra

Interpret data presented using a simple pie graph
 Activities: 1 course, 0 extra

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

Interpret and compare data presented using a column graph
 Activities: 1 course, 2 extra

Interpret dot plots
 Activities: 1 course, 0 extra

Interpret line graphs
 Activities: 1 course, 0 extra

Interpreting pie graphs
 Activities: 1 course, 0 extra

Interpret data presented using a pie graph
 Activities: 1 course, 7 extra


10 learning outcomes – click to view
7.S.1.c – Interpret results in context, accepting that samples vary and have no effect on one another

10 learning outcomes – click to view
Samples: Graphs. Interpreting column graphs  5. Interpreting Dot Plots. Interpreting a pie graph. Interpret a spreadsheet.

Graphs
 Activities: 1 course, 0 extra

Interpret data presented in column graphs
 Activities: 1 course, 0 extra

Interpret dot plots
 Activities: 1 course, 1 extra

Interpret data presented using a simple pie graph
 Activities: 1 course, 0 extra

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

Interpret and compare data presented using a column graph
 Activities: 1 course, 2 extra

Interpret dot plots
 Activities: 1 course, 0 extra

Interpret line graphs
 Activities: 1 course, 0 extra

Interpreting pie graphs
 Activities: 1 course, 0 extra

Interpret data presented using a pie graph
 Activities: 1 course, 7 extra


10 learning outcomes – click to view
7.S.2 – Order the likelihoods of outcomes for situations involving chance, checking for consistency between experimental results and models of all possible outcomes.

7 learning outcomes – click to view
Samples: Chance Fraction. Chance. Chance from 0 to 1. Probability decimals: Activity 1. Chance.

Represent chance using fractions.
 Activities: 1 course, 4 extra

Chance
 Activities: 1 course, 0 extra

Recognise that probabilities range from 0 to 1.
 Activities: 1 course, 0 extra

Describe probabilities using decimals.
 Activities: 2 course, 0 extra

Chance
 Activities: 1 course, 0 extra

Describe probabilities using percentages.
 Activities: 3 course, 1 extra

Describe probabilities using fractions.
 Activities: 1 course, 2 extra


7 learning outcomes – click to view