Cambridge HOTmaths CAPS Edition

Explore professionally designed teaching and learning tools including lessons, walkthroughs, questions, animated demonstrations, worksheets and solutions, working mathematically investigations, the maths dictionary and our online maths competition.

  • Saves teacher time in preparing activities, checking homework, marking and recording progress
  • Contains curriculum-based teaching, learning and assessment resources
  • Charts student progress with integrated diagnostic tests and assessment activities that can be tracked throughout
  • Caters for all ability levels from underperforming to advanced, and allows students to work at their own pace
  • Offers creative teaching ideas for integrating ICT in your classroom
  • Provides access 24 hours a day to web-based resources for maths to help with planning

 

Over 600 interactive investigations (widgets), 1000 worksheets, 25,000 images and almost 400 complete lessons

• 2D shapes & angles • 2D shapes & position • 3D shapes • Addition & subtraction • Algebraic expressions • Analysing data • Angles • Angles & 2D shapes • Applying percentages • Area • Bivariate data • Buying, borrowing, investing • Calculations • Chance • Circles & cylinders • Circles, symmetry & resizing • Congruent & similar shapes • Constructions in geometry • Data • Data analysis • Data collection • Decimal fractions & percentages • Decimals • Decimals & percentages • Earning money • Equations & inequalities • Everyday fractions • Exploring numbers • Exploring quadrilaterals • Extending the operations • Factors & multiples • Fractions • Further decimals & percentages • Further fractions • Indices • Integers • Introducing algebra • Larger numbers • Length • Length & area • Length, perimeter & area • Linear equations & inequalities • Location • Manipulating algebra • Maps, plans & directions • Mass • Mass & capacity • Money • Multiplication & division • Number notations • Number plane: Calculations • Number plane: Curves • Number plane: Straight lines • Number systems • Numbers to 1000 & beyond • Patterns • Patterns in counting • Percentages • Perimeter & area • Plane shapes & triangles • Probability • Pythagoras' theorem • Quadratic equations • Quadratic expressions • Ratios & rates • Reasoning in geometry • Representing data • Sets • Simultaneous equations • Surds • The number plane • Time • Transformation & symmetry • Trig beyond right triangles • Trigonometry: Introduction • Trigonometry: Minutes & bearings • Understanding whole numbers • Using measurement • Using symbols for numbers • Volume • Volume & capacity • Volume & surface area • Whole numbers •

 

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Cambridge HOTmaths covers a wealth of Primary and Secondary Mathematics topics

Numbers to 1000 & beyond

  • Numbers to 1000
  • Ordering numbers
  • Numbers beyond 1000
  • Splitting & regrouping

Patterns in counting

  • Creating number sequences
  • Patterns in sequences

Addition & subtraction

  • Mental strategies
  • Place value strategies
  • Using empty number lines
  • Written addition
  • Written subtraction

Multiplication & division

  • Modelling arrays & groups
  • Modelling division
  • Introducing multiplication strategies
  • Building facts

Everyday fractions

  • Fractional parts
  • Comparing fractions
  • Decimals
  • Adding & subtracting decimals

Data

  • Surveys, tables & tallies
  • Column & picture graphs
  • Bar graphs

Chance

  • Chance language
  • Listing outcomes
  • Chance experiments

2D shapes & angles

  • Symmetrical shapes
  • Introducing angles
  • 2D shapes
  • Introducing quadrilaterals

Length & area

  • Measuring length
  • Calculating length
  • Measuring perimeter
  • Comparing areas

Mass & capacity

  • Comparing mass
  • Measuring mass
  • Capacity

Time

  • Reading clocks
  • Digital clocks
  • Measuring duration
  • Using a calendar

Money

  • Making money
  • Money calculations

Location

  • Simple maps
  • Introducing coordinates

Larger numbers

  • Modelling larger numbers
  • Ordering larger numbers
  • Rounding numbers

Fractions

  • Equivalent fractions
  • Parts of a group
  • Counting with fractions

Decimal fractions & percentages

  • Rounding & ordering decimals
  • Multiplying & dividing by 10 & 100
  • Percentages

Factors & multiples

  • Patterns of multiples
  • Multiplication facts
  • Division facts
  • Division with remainders

Calculations

  • Applying addition strategies
  • Subtraction calculations
  • Multiplication by multiples of 10
  • Extending multiplication

3D shapes

  • Describing shapes
  • Prisms & pyramids
  • Shapes from nets

2D shapes & position

  • Classifying angles
  • Features of 2D shapes
  • Reflect, translate & rotate
  • Compass directions

Understanding whole numbers

  • Extending place value
  • Comparing whole numbers
  • Rounding whole numbers
  • Introducing Roman numerals

Addition & subtraction

  • Exploring plus & minus
  • Addition strategies
  • Adding in columns
  • Subtraction strategies
  • Subtracting in columns

Multiplication & division

  • Patterns in multiplication
  • Multiplying by 10s, 100s, 1000s
  • Multiplication strategies
  • Exploring division
  • Dividing larger numbers
  • Mixed operations
  • Primes & composites

Fractions

  • Understanding fractions
  • Which fractions are the same size?
  • Improper fractions & mixed numerals
  • Whole numbers & fractions
  • Adding & subtracting like fractions

Decimals & percentages

  • 10ths, 100ths & 1000ths
  • Comparing decimals
  • Adding decimals
  • Subtracting decimals
  • Mult & div decimals by 10, 100, 1000
  • Exploring percentages
  • Percentages-decimals-fractions

Patterns

  • Numbers in designs
  • Number patterns
  • Mystery number sentences

Angles & 2D shapes

  • The language of angles
  • Measuring & drawing angles
  • Triangles
  • Quadrilaterals
  • Exploring polygons

3D shapes

  • Naming 3D shapes
  • Drawing 3D shapes
  • Nets
  • Different views

Length

  • Units of length
  • Measuring & recording lengths
  • Converting units of length
  • Perimeter

Area

  • Units of area
  • Area of rectangles & squares
  • Area of triangles

Volume & capacity

  • Measuring volume
  • Volume of rectangular prisms
  • Measuring capacity
  • Linking litres & cubes

Mass

  • Units of mass
  • Measuring & recording masses
  • Converting units of mass

Time

  • Calendars & timelines
  • Clock times
  • Measuring & calculating time
  • Timetables

Maps, plans & directions

  • Using scale
  • Grid coordinates
  • Compass directions

Chance

  • Describing chance
  • What is the chance?
  • Chancy tasks

Data

  • Average (mean)
  • Picture & column graphs
  • Reading divided bar graphs
  • Introducing sector (pie) graphs
  • Line graphs

Number systems

  • Base 10 & other bases
  • Exploring Roman numerals
  • Negative numbers

Extending the operations

  • Multiplying by two digits
  • Dealing with remainders
  • Order of operations

Further fractions

  • Comparing fractions
  • Add & subtract related fractions
  • Fractions of a group
  • Multiples of fractions

Further decimals & percentages

  • Multiplying decimals
  • Dividing decimals
  • Calculating with percentages

Using symbols for numbers

  • Writing rules
  • Rules to patterns
  • Unknown numbers

Circles, symmetry & resizing

  • Circles
  • Symmetry
  • Enlarging & reducing

Using measurement

  • Comparing perimeter & area
  • Surface area
  • Calculations using mass

Whole numbers

  • Egyptian & Mayan numerals
  • Roman & Greek numerals
  • Index notation
  • Place value & bases
  • Rounding & estimating
  • Adding whole numbers
  • Subtracting whole numbers
  • Multiplying whole numbers
  • Dividing whole numbers
  • Long division methods
  • Order of operations & indices

Exploring numbers

  • Number patterns
  • Factors & multiples
  • Highest common factor (HCF)
  • Lowest common multiple (LCM)
  • Divisibility tests
  • Prime & composite numbers
  • Factor trees
  • HCF & LCM for large numbers
  • Square roots
  • Cube roots

Fractions

  • What is a fraction?
  • Improper versus mixed
  • Equivalent fractions
  • Comparing & ordering fractions
  • This as a fraction of that
  • Adding & subtracting fractions
  • Adding & subtracting mixed numerals
  • Multiplying fractions
  • Multiplying mixed numerals
  • Dividing by simple fractions
  • Divisions involving fractions
  • From a fraction to the whole

Decimals

  • What is the point?
  • Changing decimals to fractions
  • Changing fractions to decimals
  • Ordering decimals
  • Adding & subtracting decimals
  • Multiplying & squaring decimals
  • Strategies for decimal divisions
  • Rounding decimals
  • Introducing recurring decimals
  • Money

Percentages

  • Percentages as fractions
  • Writing fractions as percentages
  • Linking percentages & decimals
  • Fractions/decimals/percentages

Applying percentages

  • Percentage of a quantity
  • One amount as a percentage of another
  • Percentage increase & decrease
  • Profit & loss
  • Finding the whole amount

Integers

  • What are directed numbers?
  • Adding & subtracting positive integers
  • Two signs together
  • Multiplying integers
  • Dividing integers
  • Mixing the operations

Ratios & rates

  • What is a ratio?
  • Using ratios
  • Scales expressed as ratios
  • Introducing rates

Introducing algebra

  • What is algebra?
  • Algebra pictures
  • Words into algebra
  • Substitution
  • Picture patterns & pronumerals
  • Number patterns & pronumerals
  • Patterns on the number grid
  • Adding & subtracting terms
  • Multiplying & dividing terms
  • Equivalent expressions

Manipulating algebra

  • Linking algebra & number rules
  • Removing grouping symbols
  • Introducing factorising
  • Algebraic fractions
  • Formulas in spreadsheets

Equations & inequalities

  • Working backwards
  • Keeping the balance
  • Guess, check & improve
  • A formal approach
  • Equations to solve problems
  • Equations & formulas
  • Introducing inequalities

The number plane

  • The first quadrant
  • All four quadrants
  • Graphs from equations
  • Equations from lines
  • Comparing lines & equations
  • Intersecting lines

Time

  • Units of time
  • Time calculations
  • Time zones

Length, perimeter & area

  • Length
  • Perimeter problems
  • Formula for area of a rectangle
  • Formula for area of a triangle
  • Areas of parallelograms
  • Converting area units & estimating

Volume & surface area

  • Volume, capacity & prisms
  • Volume of any prism
  • Surface area of prisms

Pythagoras' theorem

  • What is Pythagoras' theorem?
  • Length of the hypotenuse
  • Length of any side
  • Pythagoras, perimeter & area

Circles & cylinders

  • Pi & the circumference
  • Area of a circle
  • Volume of a cylinder

Transformation & symmetry

  • Translation
  • Reflection & symmetry
  • Rotation & symmetry

Angles

  • Points, lines & angles
  • Some angle relationships
  • Angles in parallel lines

Plane shapes & triangles

  • Plane shapes
  • Classifying triangles
  • Angle sum of a triangle
  • Exterior angles of triangles

Exploring quadrilaterals

  • Angle sum of a quadrilateral
  • Exploring trapeziums & kites
  • Exploring parallelograms & rectangles
  • Exploring rhombuses & squares

Congruent & similar shapes

  • Congruent shapes
  • Which shapes are similar?
  • Scale factors for similar figures

Constructions in geometry

  • Bisecting angles & intervals
  • Constructing lines & angles

3D shapes

  • Faces, edges & vertices
  • Classifying solids
  • 3D drawings & projections

Chance

  • The language of chance
  • Listing possible outcomes
  • Theoretical probability

Sets

  • Introducing sets
  • Comparing sets
  • Using Venn diagrams

Representing data

  • Using sector graphs
  • Creating divided bar graphs
  • Scatter diagrams
  • Line, conversion & step graphs
  • Travel graphs
  • Frequency tables
  • Histograms & polygons
  • Grouping data
  • Dot plots
  • Stem-and-leaf plots
  • Graphs & spreadsheets

Analysing data

  • Exploring the mean
  • The mode, the median & range
  • Analysing dot plots
  • Analysing stem-and-leaf plots
  • Analysing tables

Number notations

  • Significant figures & rounding
  • Scientific notation
  • Exploring recurring decimals
  • Converting rates

Earning money

  • Wages & salaries
  • Extra earnings
  • Part-time work
  • Tax & other deductions
  • Budgeting

Buying, borrowing, investing

  • Best buys, discounts, sales tax
  • Buying on credit
  • Simple interest
  • Compound interest
  • Compound interest formula
  • Depreciation
  • Loans

Indices

  • Multiplying & dividing terms
  • Powers upon powers
  • Negative indices & reciprocals
  • Fractional indices & roots

Algebraic expressions

  • Adding & subtracting fractions
  • Multiplying & dividing fractions
  • Expanding & simplifying
  • Factorising
  • Extending algebraic fractions
  • Using algebra

Linear equations & inequalities

  • Solving linear equations
  • Equations with brackets
  • Equations with fractions
  • Problems & formulas
  • Inequalities
  • Extending inequalities

Simultaneous equations

  • Graphs, tables or guess & check
  • Using the substitution method
  • Using the elimination method
  • Solving problems simultaneously

Surds

  • Reals, rationals & surds
  • Operations with surds
  • Rewriting surds
  • Binomial surds

Quadratic expressions

  • Expanding binomial products
  • Factorising monic quadratics
  • Factorising non-monic quadratics
  • Special products & factors
  • Other factorisations
  • Simplifying using factors

Quadratic equations

  • How many solutions?
  • Solving using factors
  • Completing the square
  • The quadratic formula
  • Simultaneous quadratics

Number plane: Calculations

  • Midpoint
  • Distance using graphs
  • Gradient using graphs
  • Distance formula
  • Gradient formula

Number plane: Straight lines

  • Slopes & intercepts
  • Tables to graph lines
  • Reading the equation
  • Gradient-intercept graphs
  • Determining the equation

Number plane: Curves

  • Plotting curves
  • Parabolas
  • Hyperbolas

Perimeter & area

  • Perimeters & arcs
  • Area of a kite & a rhombus
  • Area of a trapezium
  • Areas of parts of circles

Volume

  • Volumes of prisms & cylinders
  • Volumes of pyramids
  • Volumes of cones
  • Volumes of spheres

Surface area

  • Surface areas of prisms
  • Surface areas of cylinders
  • Surface areas of pyramids
  • Surface areas of cones & spheres

Trigonometry: Introduction

  • Naming the sides
  • The tangent ratio
  • Using the tangent ratio
  • The sine & cosine ratios
  • Side lengths using any ratio
  • Calculating angles
  • Applying trigonometry

Trigonometry: Minutes & bearings

  • Splitting the degree
  • Sides & angles
  • What are bearings?
  • Using bearings

Trig beyond right triangles

  • The unit circle
  • Related ratios
  • Trig relationships
  • Area using trig
  • Sine rule
  • Cosine rule

Reasoning in geometry

  • Angles in polygons
  • Tests for congruent triangles
  • Writing reasons
  • Similar triangles

Probability

  • Relative frequency
  • Using relative frequency
  • Calculating probability

Data collection

  • Cumulative frequency
  • Cumulative frequency histograms
  • Grouping data

Data analysis

  • Centres for grouped data
  • Box-and-whisker plots
  • Standard deviation & distribution

Bivariate data

  • Distance/time graphs
  • Other line graphs
  • Graphs with curves