Math Games

Area and perimeter
• Calculate the perimeter of regular and irregular polygons
• Use appropriate formulae to calculate perimeter and area of:
- squares
- rectangles
- triangles

Calculations and solving problems
• Solve problems involving perimeter and area of polygons
• Calculate to at least 1 decimal place
• Use and convert between appropriate SI units, including:
- mm² <-> cm²
- cm² <-> m²

Surface area and volume
• Use appropriate formulae to calculate the surface area, volume and capacity of:
- cubes
- rectangular prisms
• Describe the interrelationship between surface area and volume of the objects mentioned above

Calculations and solving problems
• Solve problems involving surface area, volume and capacity
• Use and convert between appropriate SI units, including:
- mm² <-> cm²
- cm² <-> m²
- mm³ <-> cm³
- cm³ <-> m³
• Use equivalence between units when solving problems:
- 1 cm³ <-> 1 ml
- 1 m³ <-> 1 kl

Classifying 2D shapes
• Describe, sort, name and compare triangles according to their sides and angles, focusing on:
- equilateral triangles
- isosceles triangles
- right-angled triangles
• Describe, sort, name and compare quadrilaterals in terms of:
- length of sides
- parallel and perpendicular sides
- size of angles (right-angles or not)
• Describe and name parts of a circle

Similar and congruent 2D shapes
• Recognize and describe similar and congruent figures by comparing:
- shape
- size

Solving problems
• Solve simple geometric problems involving unknown sides and angles in triangles and quadrilaterals, using known properties.

Classifying 3D objects
• Describe, sort and compare polyhedra in terms of:
- shape and number of faces
- number of vertices
- number of edges

Building 3D models
• Revise using nets to create models of geometric solids, including:
- cubes
- prisms

Geometry of straight lines. Define:
• Line segment
• Ray
• Straight line
• Parallel lines
• Perpendicular lines

Transformation Geometry. Transformations
• Recognize, describe and perform translations, reflections and rotations with geometric figures and shapes on squared paper
• Identify and draw lines of symmetry in geometric figures

Transformation Geometry. Enlargements and reductions
• Draw enlargements and reductions of geometric figures on squared paper and compare them in terms of shape and size

Construction of geometric figures. Measuring angles
• Accurately use a protractor to measure and classify angles:
- < 90° (acute angles)
- Right-angles
- > 90° (obtuse angles)
- Straight angles
- > 180° (reflex angles)

Construction of geometric figures. Constructions
• Accurately construct geometric figures appropriately using a compass, ruler and protractor, including:
- angles, to one degree of accuracy
- circles
- parallel lines
- perpendicular lines

Whole numbers. Mental calculations
• Revise the following done in Grade 6:
- Multiplication of whole numbers to at least 12 x 12
- Multiplication facts for:
- Inverse operation between multiplication and division

Whole numbers. Ordering and comparing whole numbers
• Revise the following done in Grade 6:
- order, compare and represent numbers to at least 9-digit numbers
- recognize and represent prime numbers to at least 100
- round off numbers to the nearest 5, 10, 100 or 1000

Whole numbers. Properties of whole numbers
• Revise the following done in Grade 6:
- recognize and use the commutative; associative; distributive properties of whole numbers
- recognize and use 0 in terms of its additive property (identity element for addition)
- recognize and use 1 in terms of its multiplicative property (identity element for multiplication)

Whole numbers. Calculations using whole numbers
• Revise the following done in Grade 6, without use of calculators:
- Addition and subtraction of whole numbers to at least 6-digit numbers
- Multiplication of at least whole 4-digit by 2-digit numbers
- Division of at least whole 4-digit by 2-digit numbers
- Perform calculations using all four operations on whole numbers, estimating and using calculators where appropriate

Whole numbers. Calculation techniques
• Use a range of strategies to perform and check written and mental calculations of whole numbers including:
- long division
- adding, subtracting and multiplying in columns
- estimation
- rounding off and compensating
- using a calculator

Whole numbers. Multiples and factors
• Revise the following done in Grade 6:
- multiples of 2-digit and 3-digit whole numbers
- factors of 2-digit and 3-digit whole numbers
- prime factors of numbers to at least 100
• List prime factors of numbers to at least 3-digit whole numbers
• Find the LCM and HCF of numbers to at least 3-digit whole numbers, by inspection or factorisation

Whole numbers. Solving problems
• Solve problems involving whole numbers, including
- comparing two or more quantities of the same kind (ratio)
- comparing two quantities of different kinds (rate)
- sharing in a given ratio where the whole is given
• Solve problems that involve whole numbers, percentages and decimal fractions in financial contexts such as:
- profit, loss and discount
- budgets
- accounts
- loans
- simple interest

Exponents. Mental calculations
• Determine squares to at least 122 and their square roots
• Determine cubes to at least 63 and cube roots

Exponents. Comparing and representing numbers in exponential form
• Compare and represent whole numbers in exponential form: ab = a x a x a x... for b number of factors

Exponents. Calculations using numbers in exponential form
• Recognize and use the appropriate laws of operations with numbers involving exponents and square and cube roots
• Perform calculations involving all four operations using numbers in exponential form, limited to exponents up to 5, and square and cube roots

Exponents. Solving problems
• Solve problems in contexts involving numbers in exponential form.

Integers. Counting, ordering and comparing integers
• Count forwards and backwards in integers for any interval
• Recognize, order and compare integers

Integers. Calculations with integers
• Add and subtract with integers

Integers. Properties of integers
• Recognise and use commutative and associative properties of addition and multiplication for integers

Integers. Solving problems
• Solve problems in contexts involving addition and subtraction with integers

Common fractions. Ordering, comparing and simplifying fractions
• Revise the following done in Grade 6
- compare and order common fractions, including specifically tenths and hundredths
• Extend to thousandths

Common fractions. Calculations with fractions
• Revise the following done in Grade 6:
- addition and subtraction of common fractions, including mixed numbers, limited to fractions with the same denominator or where one denominator is a multiple of another
- finding fractions of whole numbers
• Extend addition and subtraction to fractions where one denominator is not a multiple of the other
• Multiplication of common fractions, including mixed numbers, not limited to fractions where one denominator is a multiple of another

Common fractions. Calculation techniques
• Convert mixed numbers to common fractions in order to perform calculations with them
• Use knowledge of multiples and factors to write fractions in the simplest form before or after calculations
• Use knowledge of equivalent fractions to add and subtract common fractions

Common fractions. Solving problems
• Solve problems in contexts involving common fractions and mixed numbers, including grouping, sharing and finding fractions of whole numbers

Common fractions. Percentages
• Revise the following done in Grade 6:
- Finding percentages of whole numbers
• Calculate the percentage of part of a whole
• Calculate percentage increase or decrease of whole numbers
• Solve problems in contexts involving percentages

Common fractions. Equivalent forms
• Revise the following done in Grade 6:
- recognize and use equivalent forms of common fractions with 1-digit or 2-digit denominators (fractions where one denominator is a multiple of the other)
- recognize equivalence between common fraction and decimal fraction forms of the same number
- recognize equivalence between common fraction, decimal fraction and percentage forms of the same number

Decimal fractions. Ordering and comparing decimal fractions
• Revise the following done in Grade 6:
- count forwards and backwards in decimal fractions to at least two decimal places
- compare and order decimal fractions to at least two decimal places
- place value of digits to at least two decimal places
- rounding off decimal fractions to at least 1 decimal place
• Extend all of the above to decimal fractions to at least three decimal places and rounding off to at least 2 decimal places

Decimal fractions. Calculations with decimal fractions
• Revise the following done in Grade 6:
- addition and subtraction of decimal fractions of at least two decimal places
- multiplication of decimal fractions by 10 and 100
• Extend addition and subtraction to decimal fractions of at least three decimal places
• Multiply decimal fractions to include:
- decimal fractions to at least 3 decimal places by whole numbers
- decimal fractions to at least 2 decimal places by decimal fractions to at least 1 decimal place
• Divide decimal fractions to include decimal fractions to at least 3 decimal places by whole numbers

Decimal fractions. Calculation techniques
• Use knowledge of place value to estimate the number of decimal places in the result before performing calculations
• Use rounding off and a calculator to check results where appropriate

Decimal fractions. Solving problems
• Solve problems in context involving decimal fractions

Decimal fractions. Equivalent forms
• Revise the following done in Grade 6:
- recognize equivalence between common fraction and decimal fraction forms of the same number
- recognize equivalence between common fraction, decimal fraction and percentage forms of the same number

Collect data
• Pose questions relating to social, economic, and environmental issues in own environment
• Select appropriate sources for the collection of data (including peers, family, newspapers, books, magazines)
• Distinguish between samples and populations and suggest appropriate samples for investigation
• Design and use simple questionnaires to answer questions:
- with yes/no type responses
- with multiple choice responses

Organize and summarize data
• Organize (including grouping where appropriate) and record data using
- tally marks
- tables
- stem-and-leaf displays
• Group data into intervals
• Summarize and distinguishing between ungrouped numerical data by determining:
- mean
- median
- mode
• Identify the largest and smallest scores in a data set and determine the difference between them in order to determine the spread of the data (range)

Represent data
• Draw a variety of graphs by hand/technology to display and interpret data (grouped and ungrouped) including:
- bar graphs and double bar graphs
- histograms with given intervals
- pie charts

Interpret data
• Critically read and interpret data represented in:
- words
- bar graphs
- double bar graphs
- pie charts
- histograms

Analyse data
• Critically analyse data by answering questions related to:
- data categories, including data intervals
- data sources and contexts
- central tendencies (mean, mode, median)
- scales used on graphs

Report data
• Summarize data in short paragraphs that include
- drawing conclusions about the data
- making predictions based on the data
- identifying sources of error and bias in the data
- choosing appropriate summary statistics for the data (mean, median, mode)

Probability
• Perform simple experiments where the possible outcomes are equally likely and:
- list the possible outcomes based on the conditions of the activity
- determine the probability of each possible outcome using the definition of probability

Numeric and geometric patterns. Investigate and extend patterns
• Investigate and extend numeric and geometric patterns looking for relationships between numbers, including patterns:
- represented in physical or diagram form
- not limited to sequences involving a constant difference or ratio
- of learner's own creation
- represented in tables
• Describe and justify the general rules for observed relationships between numbers in own words

Functions and relationships. Input and output values
• Determine input values, output values or rules for patterns and relationships using:
- flow diagrams
- tables
- formulae

Functions and relationships. Equivalent forms
• Determine, interpret and justify equivalence of different descriptions of the same relationship or rule presented:
- verbally
- in flow diagrams
- in tables
- by formulae
- by number sentences

Algebraic expressions. Algebraic language
• Recognize and interpret rules or relationships represented in symbolic form
• Identify variables and constants in given formulae and/or equations

Algebraic equations. Number sentences
• Write number sentences to describe problem situations
• Analyse and interpret number sentences that describe a given situation
• Solve and complete number sentences by:
- inspection
- trial and improvement
• Determine the numerical value of an expression by substitution.
• Identify variables and constants in given formulae or equations

Graphs. Interpreting graphs
• Analyse and interpret global graphs of problem situations, with special focus on the following trends and features:
- linear or non-linear
- constant, increasing or decreasing

Graphs. Drawing graphs
• Draw global graphs from given descriptions of a problem situation, identifying features listed above