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Matching chart for Maths Connect 2G 28/06/04 Unit Lesson title Objectives 1 – Integers and sequences 1.1 – Adding integers 2 – Angles and shapes TB pages PB pages Add positive and negative integers in context Use the sign change key on a calculator 4–5 2–3 1.2 – Subtracting integers Subtract positive and negative integers in context Use the sign change key on a calculator 6–7 4–5 1.3 – Tests for divisibility Use simple tests of divisibility 8–9 6–7 1.4 – Sequences from patterns Generate sequences from practical contexts and describe the general term in simple cases 10–11 8–9 1.5 – Generating sequences Generate terms of a simple sequence, given a rule (e.g. finding a term from the previous term, finding a term given its position in the sequence) 12–13 10–11 1.6 – Investigating Sequences Generate terms of a simple sequence, given a rule for finding a term given its position in the sequence 14–15 12–13 2.1 – Angle sums Know the sum of angles at a point, on a straight line and in a triangle 18–19 14–15 2.2 – Names of angles Use angle measure; distinguish between and estimate the size of acute, obtuse and reflex angles 20–21 16–17 2.3 – Measuring and drawing angles Use a ruler and protractor to measure and draw lines to the nearest millimetre and angles, including reflex angles, to the nearest degree 22–23 18–19 2.4 – Drawing triangles 1 Use a ruler and protractor to construct a triangle given two sides and the included angle (SAS) 24–25 20–21 2.5 – Parallel and perpendicular lines Identify and draw parallel and perpendicular lines Recognise vertically opposite angles 26–27 22–23 2.6 – Angle calculations Know the sum of angles at a point, on a straight line and in a triangle, and recognise vertically opposite angles Identify and use angle, side and symmetry properties of triangles; solve problems using step-by-step deduction and explaining reasoning 28–29 24–25 Matching chart for Maths Connect 2G 28/06/04 3 – Probability 4 – Fractions, decimals and percentages 3.1 – Probability using words Use the vocabulary of probability Understand and use the probability scale from 0 to 1 32–33 26–27 3.2 – Probability using numbers Find and justify probabilities based on equally likely outcomes in simple contexts 34–35 28–29 3.3 – Possible outcomes Find and record all possible mutually exclusive outcomes for single events and two successive events in a systematic way, using diagrams and tables 36–37 30–31 38–39 32–33 3.4 – Tallies and frequency tables Collect data from a simple experiment and record in a frequency table 3.5 – Estimating probability Estimate probabilities based on experimental data 40–41 34–35 3.6 – Comparing probability Compare experimental and theoretical probabilities in simple contexts 42–43 36–37 4.1 – Equivalent fractions Identify equivalent fractions Simplify fractions by cancelling all common factors 46–47 38–39 4.2 – Fractions and decimals Convert terminating decimals to fractions Use division to convert a fraction to a decimal, with and without a calculator 48–49 40–41 4.3 – Ordering fractions Order fractions by writing them with a common denominator Order fractions by converting them to decimals 50–51 42–43 4.4 – Adding and subtracting fractions Add and subtract fractions by writing them with a common denominator 52–53 44–45 4.5 – Fractions of amounts Calculate fractions of quantities (including fraction answers) Multiply an integer by a fraction 54–55 46–47 4.6 – Percentages Understand percentage as the ‘number of parts per 100’ Calculate simple percentages of quantities 56–57 48–49 Matching chart for Maths Connect 2G 28/06/04 5 – Equations and formulae 5.1 – Simplifying algebraic expressions Understand that algebraic operations follow the same conventions and order as arithmetic operations Simplify algebraic expressions 60–61 50–51 5.2 – Expanding brackets Multiply a single term over a bracket Know and use the distributive law Know how multiplication is represented in algebraic expressions 62–63 52–53 Substitute positive integers into simple linear expressions Understand that algebraic operations follow the same conventions and order as arithmetic operations 64–65 54–55 Solve linear equations with integer coefficients (unknown on one side) using an appropriate method (e.g. inverse operations, transforming both sides the same way) 66–67 56–57 5.5 – More solving equations Construct and solve simple linear equations with integer coefficients (unknown on one side) using appropriate methods 68–69 58–59 5.6 – Formulae Use formulae from mathematics and other subjects Substitute positive integers into simple formulae and find an unknown subject 70–71 60–61 6.1 – Multiplying and dividing by 10, 100, 1000 Multiply and divide integers and decimals by 10, 100 and 1000, and explain the effect 74–75 62–63 6.2 – Scales and measures Read and interpret scales on a range of measuring instruments Solve problems in everyday contexts involving length, mass and time 76–77 64–65 6.3 – Area of rectangles Know and use the formula for the area of a rectangle 78–79 66–67 6.4 – Perimeter and area Calculate the perimeter and area of shapes made from rectangles 80–81 68–69 6.5 – Area of triangles Deduce and use a formula for the area of a triangle 82–83 70–71 6.6 – Surface area Calculate surface areas of cubes and cuboids 84–85 72–73 5.3 – Substitution 5.4 – Solving equations 6 – Measures, area and perimeter Matching chart for Maths Connect 2G 28/06/04 7 – Functions and graphs 8 – Numbers and calculations 7.1 – Mappings Express simple functions in symbols and words Draw mapping diagrams of linear functions 88–89 74–75 7.2 – Identifying mappings Identify functions from mapping diagrams Know some of the properties of mapping diagrams 90–91 76–77 7.3 – Special graphs Recognise that equations of the form y = c and x = c correspond to straight-line graphs parallel to the x- and y- axes 92–93 78–79 7.4 – Graphs Generate coordinate pairs and plot graphs of simple linear functions using all four quadrants Read other coordinate pairs from a drawn graph Recognise that on graphs of the form y = mx + c, the values of the coordinates of each point satisfy the equation 94–95 80–81 7.5 – The y-intercept Plot graphs of linear functions using ICT Recognise that graphs of the form y = mx + c intercept the y-axis at c 96–97 82–83 7.6 – Gradients Begin to identify the role of m in equations of the form y = mx + c Plot graphs of simple linear functions on paper and using ICT 98–99 84–85 8.1 – Converting between metric units Convert between one metric unit and another 102–103 86–87 8.2 – Ordering decimals Order decimals by comparing digits Order decimals by positioning them on a number line 104–105 88–89 8.3 – Rounding Round positive numbers to any given power of 10 Round decimal numbers to the nearest whole number or to one or two decimal places 106–107 90–91 Consolidate standard column procedures for addition and subtraction of integers and decimals with up to 2 places Make and justify estimates and approximations of calculations 108–109 92–93 Develop a standard procedure for multiplying 3-digit by 2-digit whole numbers Make and justify estimates and approximations of calculations Check a result by considering whether it is of the right order of magnitude 110–111 94–95 8.4 – Adding and subtracting 8.5 – Multiplying Matching chart for Maths Connect 2G 28/06/04 8.6 – More multiplying 9 – Transformations Develop standard written methods for multiplying decimals with one or two places by a single-digit whole numbers Make and justify estimates and approximations of calculations Check a result by considering whether it is of the right order of magnitude 112–113 96–97 8.7 – Multiples Recognise and use multiples Find the lowest common multiple of two numbers 114–115 98–99 8.8 – Factors Find all the pairs of factors of a number Find the highest common factor of two numbers 116–117 100–101 8.9 – Prime numbers Recognise prime numbers up to 100 118–119 102–103 9.1 – Reflection Understand and use the language and notation associated with reflections Recognise and visualise the reflection of a 2-D shape in given mirror lines 122–123 104–105 Understand and use the language and notation associated with rotations Recognise and visualise the rotation of a 2-D shape about a given point 124–125 106–107 9.3 – Reflection and rotation symmetry Recognise and explore reflection symmetry Recognise and explore rotation symmetry 126–127 108–109 9.4 – Translation Understand and use the language and notation associated with translations Recognise and visualise the translation of a 2-D shape 128–129 110–111 9.5 – Repeated transformations Transform 2-D shapes using repeated reflections, rotations and translations, on paper and using ICT 130–131 112–113 9.6 – Drawing enlargements Understand and use the language and notation associated with enlargement Enlarge 2-D shapes, given a centre of enlargement and a positive whole-number scale factor 132–133 114–115 9.2 – Rotation Matching chart for Maths Connect 2G 28/06/04 10 – Solving equations and using formulae 11 – Diagrams and statistics 10.1 – Algebraic expressions Derive simple algebraic expressions 10.2 – Why simplify? 136–137 116–117 Solve linear equations with integer coefficients (unknown on one side only) Simplify expressions by collecting like terms 138–139 118–119 10.3 – Solving equations involving divisors Solve linear equations of the forms x/a = b and ax/b = c, where a, b and c are positive integers 140–141 120–121 10.4 – Using equations Explore ways of constructing simple equations to express relationships 142–143 122–123 10.5 – Formulae in words Use formulae from mathematics and other subjects Substitute positive integers into simple formulae and find an unknown subject 144–145 124–125 10.6 – Constructing formulae Derive algebraic expressions and formulae Substitute values into formulae and solve the resulting equations 146–147 126–127 11.1 – Two-way tables Design and use simple two-way tables 150–151 128–129 11.2 – Averages Calculate statistics from data, using ICT as appropriate Find the mode, median and range of a small set of discrete data Calculate the mean for a small set of discrete data 152–153 130–131 11.3 – Frequency tables and calculating the mean Calculate statistics, using ICT as appropriate Calculate the mean from a frequency table 154–155 132–133 11.4 – Comparing two distributions Compare two distributions using the range and one or more of the mode, median and mean 156–157 134–135 11.5 – Grouping data Group data into equal class intervals Find the modal class of grouped data 158–159 136–137 11.6 – Calculating statistics Calculate statistics for small sets of discrete data 160–161 138–139 Matching chart for Maths Connect 2G 28/06/04 12 – Squares, brackets and calculations 12.1 – Squares and square roots Recognise square numbers and their corresponding square roots Use a calculator, including the square root key, to find square roots, rounding as appropriate 164–165 140–141 12.2 – Brackets Know and use the order of operations, including brackets Use the bracket keys on a calculator 166–167 142–143 12.3 – Division Develop standard written methods to divide a 3-digit number by a 2-digit number Make and justify estimates and approximations of calculations Check a result by considering whether it is of the right order of magnitude 168–169 144–145 Develop standard written methods to divide decimals with 1 or 2 places by a 1-digit number Make and justify estimates and approximations of calculations Check a result by considering whether it is of the right order of magnitude 170–171 146–147 12.5 – Mental methods 1 Consolidate and extend mental methods of calculation Use factors to simplify mental calculations 172–173 148–149 12.6 – Mental methods 2 Consolidate and extend mental methods of calculation Use partitioning to simplify mental calculations 174–175 150–151 12.4 – Decimal division Matching chart for Maths Connect 2G 28/06/04 13 – Sequences and graphs 13.1 – The general term Generate sequences given the general term in the form an + c 13.2 – Exploring sequence patterns Generate linear sequences from practical contexts and find the general term in simple cases 13.3 – Finding the general term Find the nth term of simple linear ascending sequences 13.4 – Spreadsheets 178–179 152–153 180–181 154–155 182–183 156–157 Use a spreadsheet to generate sequences 184–185 158–159 13.5 – Conversion graphs Plot and interpret conversion graphs 186–187 160–161 13.6 – Drawing graphs Construct linear functions arising from real-life problems and plot their corresponding graphs Read values from a graph 188–189 162–163 13.7 – Interpreting graphs Discuss and interpret linear graphs arising from real-life situations 190–191 164–165 13.8 – Graphs in real life Discuss and interpret non-linear graphs arising from real-life situations 192–193 166–167 14 – Ratio and proportion 14.1 – Proportion and solving problems Use direct proportion in simple contexts 196–197 168–169 Understand the idea of ratio and use ratio notation Simplify a ratio to an equivalent ratio by cancelling Understand the relationship between ratio and proportion Use ratio and proportion to solve simple problems 198–199 170–171 14.3 – Ratio Divide a quantity into two parts in a given ratio 200–201 172–173 14.4 – Solve it! Identify the necessary information to solve a problem 202–203 174–175 14.5 – Multi-step problems Break a complex calculation into simpler steps, choosing and using appropriate and efficient operations and methods 204–205 176–177 14.6 – Which strategy? Choose and use appropriate and efficient operations, methods and resources 206–207 178–179 14.2 – Ratio and proportion Matching chart for Maths Connect 2G 28/06/04 15 – Exploring 2-D and 3-D shapes 15.1 – Drawing triangles 2 Use a ruler and protractor to construct a triangle given two sides and the included angle (SAS) or two angles and the included side (ASA) 210–211 180–181 15.2 – Constructing triangles Use a straight edge and compasses to construct a triangle, given three sides (SSS) 212–213 182–183 15.3 – Shapes on coordinate grids Find coordinates of points determined by geometric information 214–215 184–185 15.4 – Mid-points Given the coordinates of points A and B, find the mid-point of the line segment AB 216–217 186–187 15.5 – Shapes and paths Produce shapes and paths on paper and using ICT 218–219 188–189 15.6 – Visualising 3-D shapes Use 2-D representations to visualise 3-D shapes and deduce some of their properties Draw 2-D representations of 3-D shapes 220–221 190–191 15.7 – Constructing nets 1 Use ruler and protractor to construct simple nets of cuboids 222–223 192–193 15.8 – Constructing nets 2 Use ruler and protractor to construct simple nets of 3-D shapes, for example regular tetrahedron, square-based pyramid, triangular prism 224–225 194–195 15.9 – Volume Estimate volumes Suggest volumes to be measured in cm³ and m³ Solve problems involving cuboids 226–227 196–197 Matching chart for Maths Connect 2G 28/06/04 16 – Applying skills and analysing data 16.1 – Planning an investigation Discuss a problem that can be addressed by statistical methods and identify related questions to explore Decide which data to collect to answer a question, and the degree of accuracy needed; identify possible sources Plan how to collect the data, including sample size 230–231 198–199 Decide which data to collect to answer a question, and the degree of accuracy needed; identify possible sources Collect the data using a suitable method such as observation, controlled experiment using ICT, or questionnaire 232–233 200–201 16.3 – Displaying data Construct, on paper and using ICT, graphs and diagrams to represent data, including bar-line graphs and pie charts 234–235 202–203 16.4 – Line graphs Draw and interpret line graphs 236–237 204–205 16.5 – More about pie charts Construct, on paper and using ICT, pie charts for categorical data 238–239 206–207 16.6 – Drawing and interpreting diagrams Construct graphs and diagrams (including compound bar charts) to represent data and identify key features Identify which diagrams are most useful 240–241 208–209 242–243 210 – 211 16.2 – Collecting data 16.7 – Communicating results Interpret tables, graphs and diagrams Write a short report of a statistical enquiry