HOTmaths. Early Secondary Comparing Lessons pre and post Feb /01/2011
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1 Early Secondary Comparing Lessons pre and post Feb Removed lessons Some lessons can now be found in the course, or in a remodelled Early Secondary lesson. Information about the content for these lessons is provided below. Remodelled lessons are in dark orange. Lesson names There have been some changes to lesson names. They are highlighted in light orange below. Student results Owing to changes in some lesson content, past student results may no longer be available since the results no longer reflect student understanding of the new material. The topic order Topics order below will be rearranged into major strands in February 2011: Number, Patterns and Algebra, Measurement, Geometry, Chance, Data. Whole Numbers Ancient number systems Egyptian & Mayan numerals Roman & Greek numerals Index notation Place value & expanded notation Estimation & rounding off Adding whole numbers Subtracting whole numbers Multiplying whole numbers Dividing whole numbers Long division methods Grouping symbols Place value & bases Rounding & estimating The content of this lesson is now found in Order of operations & indices in this topic.
2 Order of operations Order of operations & indices Number Theory New topic title: Exploring numbers Simple number patterns Further Patterns in numbers 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 Number patterns The content of this lesson is now found in Number patterns in this topic Fractions What is a fraction? Mixed numerals & improper fractions 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 Dividing by harder fractions Divisions involving fractions
3 Finding the whole amount From a fraction to the whole Decimals What is the point? Changing decimals to fractions Changing fractions to decimals Ordering decimals Adding decimals Adding & subtracting decimals Subtracting decimals Multiplying & dividing by powers of 10 The content of this lesson is now found in Adding & subtracting decimals in this topic. The content of this lesson is now found in Multiplying decimals and in Dividing decimals in this topic. Multiplying decimals Decimals of a quantity Dividing decimals by whole numbers Dividing by a decimal Rounding decimals Recurring decimals Multiplying & squaring decimals Strategies for decimal divisions Introducing recurring decimals Topic: Decimals & percentages Lesson: Mult & div decimal by 10, 100, 1000 The content of this lesson is now found in Multiplying decimals and in Multiplying decimals in this topic. The content of this lesson is now found in Dividing decimals in this topic.
4 Money Percentages What is a Percentage? The content of this lesson is now found in Percentage as fractions in this topic. One whole is 100% Topic: Decimals & percentages Lesson: Exploring percentages The content of this lesson is now found in Percentage as fractions in this topic. Percentages as fractions Changing fractions to percentages Changing percentages to decimals Changing decimals to percentages Percentage/fraction/decimal connection Writing fractions as percentages Linking percentages & decimals Fractions/decimals/percentages Topic: Decimals & percentages Lesson: Exploring percentages The content of this lesson is now found in Percentage as fractions in this topic. Integers What are directed numbers? Adding & subtracting integers Add & subtract positive integers
5 Two signs together Multiplying integers Dividing integers Mixing the operations Algebra New topic title: Introducing algebra What is algebra? Algebra pictures Words into algebra Substitution Picture patterns & pronumerals Recognising patterns Number patterns & pronumerals Patterns on the number grid Adding & subtracting terms Multiplying & dividing terms Equivalent expressions The content of this lesson is now found in Number patterns & pronumerals in this topic. Length, Perimeter and Area Units of Length Length Measuring Length The content of this lesson is now found in Length in this topic.
6 Perimeter Areas of rectangles & squares Areas of triangles Areas of parallelograms Converting area units & estimating Perimeter problems Formula for area of a rectangle Formula for area of a triangle Topic: Length Lesson: Measuring & recording lengths Measuring solid New topic title: Volume & surface area Volume The content of this lesson is now found in Volume, capacity & prisms in this topic. Volume of rectangular prisms Volume of other prisms Surface area Capacity Volume, capacity & prisms Volume of any prism Surface area of prisms Topic: Volume & capacity Lesson: Measuring volume The content of this lesson is now found in Volume, capacity & prisms in this topic. Mass Topic: Volume & capacity Lesson: Measuring capacity
7 Students can visit: Topic: Mass Time Time measurements Units of time Time of day The content of this lesson is now found in Units of time in this topic. Calculating hours, minutes and seconds Time on a calculator Timetables and charts Time calculations Topic: Time Lesson: Clock times The content of this lesson is now found in Time calculations in this topic. Time zones Students can visit: Topic: Time Lesson: Timetables 2D Shapes New topic name: Plane shapes & triangles Plane Shapes
8 Classifying triangles Angle sum of a triangle Exterior angles of triangles Classifying quadrilaterals Angle sum of a quadrilateral Line of symmetry Rotational symmetry Translation Reflection Rotation Topic: Exploring quadrilaterals Topic: Transformation & symmetry Lesson: Translation Topic: Transformation & symmetry Lesson: Reflection & symmetry Topic: Transformation & symmetry Lesson: Rotation & symmetry The content of this lesson is now found in: Topic: Exploring quadrilaterals Lessons: Angle sum of a quadrilateral. The content of this lesson is now found in: Topic: Transformations & symmetry Lessons: Reflection & symmetry The content of this lesson is now found in: Topic: Transformations & symmetry Lessons: Rotation & symmetry Angles Points, lines and intervals Points, lines & angles How to name an angle
9 How to measure an angle The content of this lesson is now found in Points, lines & angles in this topic. Types of angles Students can visit: Topic: Angles & 2D shapes Lesson: Measuring & drawing angles The content of this lesson is now found in Points, lines & angles in this topic. Angle theorems Angles in parallel lines Bisecting angles & Intervals Some angle relationships Topic: Constructions in geometry Topic: Angles & 2D shapes Lesson: The language of angles 3D Shapes Faces, edges & vertices Classifying solids Nets of solids Students can visit: Topic: 3D shapes Lesson: Nets
10 Drawing solids Views of solids 3D drawings & projections Students can visit: Topic: 3D shapes Lesson: Different views Chance The Language of Chance Listing Possible Outcomes Probabilities Theoretical probability Pythagoras Theorem What is Pythagoras' Theorem? Length of the Hypotenuse Length of Any Side Pythagoras, Perimeter & Area Representing Data Sector Graphs Using sector graphs Divided Bar Graphs Creating divided bar graphs Scatter diagrams Line, conversion & step graphs Travel Graphs Organising Data Into Tables Frequency Tables Histograms & polygons Grouping data Dot Plots Stem-and-leaf Plots Spreadsheets & graphs
11 Applying Percentages Percentage of a quantity One amount as a percentage of another Increasing and decreasing using percentages Profit & loss Finding the whole amount Percentage increase & decrease Equations & inequalities Working backwards Keeping the balance Guess, check & improve A formal approach Equations to solve problems Equations & Formulas Inequalities Introducing inequalities Manipulating algebra Reading algebra Linking algebra & number rules Formulas in spreadsheets Removing grouping symbols Factorising Introducing factorising Algebraic fractions Circles & cylinders Pi & the circumference Area of a circle Volume of a cylinder
12 The number plane Plotting positive integers The first quadrant Extending the number plane Maps and plans All four quadrants Graphs from equations Equations from lines Comparing lines & equations Intersecting lines Students can visit: Topic: Maps, plans & direction Analysing data The mean Exploring the mean The mode, median and range Analysing dot plots Analysing stem-and-leaf plots Analysing tables Congruent & similar shapes Congruent shapes Which shapes are similar? Scale factor Drawing similar figures Scales factors for similar figures The content of this lesson is now found in Scale factor in this topic. Topic: Maps, plans & direction
13 Scale drawings Topic: Ratios & rates Lesson: Scales expressed as ratios Lesson: Using scale Ratios & rates What is a ratio? Using ratios Rates Introducing rates Exploring geometry New topic title: Exploring quadrilaterals Exploring trapeziums & kites Exploring parallelograms & rectangles Exploring rhombuses & squares Constructing lines & angles Topic: Constructions in geometry Set Theory New topic title: Sets Introducing sets Set relationships & Venn diagrams Using Venn Diagrams Comparing sets
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