Year 7 1 Spring Term Homework Schedule

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1 Year 7 1 Spring Term Schedule Topics Number 3 Place value Calculations Calculator Measures Number 4 FDPRP methods Multiplications, additions, subtractions & division; round to nearest 10, 100, 1000; round decimals to a whole number and 1 decimal place; round positive numbers to any given power of 10; multiply and division whole numbers and decimals; metric and imperial conversions; BIDMAS; multiplication up to 10 X 10; written method of multiplying HTU X U; U.T X U; TU X TU; U.T X U.T and dividing HTU U; HTU TU and U.T U.T; Improper fractions; equivalent fractions; multiple of 10, 100, 1000; fraction of shapes; cancel fractions; add and subtract fractions; terminating fractions; finding percentages and fraction of amounts /quantities; equivalence of %, decimals and fractions; convert fractions to decimals; order fractions; percentage increase and decrease; multiply fraction by integers; simplify ratios; share amounts into given ratios; direct proportions; use unitary method to solve simple problems involving ratios and direct proportion. Use the equivalence of %, fraction and decimals to compare proportion. Algebra 3 Integers, powers and roots Sequences, functions and graphs Algebra 4 Equations and formulae Multiples; LCM; factors; HCF; special numbers; read & plot coordinates in the 1 st quadrant; simple sequences; n th terms; sequence in practical contexts; generate terms of linear sequences using term-to-term and position-toterm rules; linear graphs; functions and mapping; straight line graphs; prime factors decomposition of a number; positive and negative square roots; algebraic mappings; recognise the equation of a straight line y = mx + c; generate coordinate pair that satisfy a simple linear rule; plot the graphs of simple linear functions; use calculators to square numbers; recognise the first few triangular numbers and square numbers up to 12 X 12 and their corresponding roots. Understand the relationships between the 4 operations and the principles of BIDMAS; use symbols to represent unknown numbers; collect like terms; multiply single term over a bracket; use brackets; construct and solve equations with unknown on one and both sides; know the meaning of the words formulae and functions. 1 Please note that the homework details given above are exemplars and that your child may not receive all of the teaching contents because of settings. Please speak to your child s class teacher for details of specific homework.

2 Shape and Measures 3 Geometrical reasoning: Lines, angles and shapes Construction Statistics 2 Handling Data Reflections; rotations; translations; symmetry properties; recognise where a shape will be after a reflection or translation; angles on a straight line, at a point and in triangles; measure and draw acute and obtuse angles to nearest degree; use angle and symmetry properties of triangles and quadrilaterals to solve geometrical problems; use 2 D to representations of 3 D and deduce key properties; using ruler and protractors construction lines to nearest millimetres and reflex angles; construct SAS, SSS and ASA; use ruler and compasses to construct midpoint and perpendicular bisector of line segments; bisector of an angle; geometrical reasoning. Interpret data in table, graphs, charts and diagrams; design questionnaires to perform simple survey and experiments; construct tally charts, frequency tables and the resulting line graphs and bar charts; draw conclusions on findings; given a problem that can be addressed by statistical methods, suggest possible answers; decide which data would be relevant to an enquiry and possible sources; plan how to collect and organise small sets of data; design a data collection sheet or questionnaire to use in a simple survey; construct frequency tables for discrete data, grouped where appropriate in equal class intervals. Collect small sets of data from surveys and experiments, as planned. Construct, on paper and using ICT, graphs and diagrams to represent data, including: - bar-line graphs; - frequency diagrams for grouped discrete data; - use ICT to generate pie charts. Collect small sets of data from surveys and experiments, as planned; plan how to collect the data, including sample size; construct frequency tables with given equal class intervals for sets of continuous data. Construct on paper and using ICT: pie charts for categorical data. Simple line graphs for time series.

3 Summer Term Schedule Topics Number 5 Place value Calculations, including calculator methods FDPRP Solving problems Statistics 3 Handling data, Probability Algebra 5 Sequences, functions and graphs Equations and formulae Recognise multiples of number up to 10 X 10; know the divisibility test; identify all the factors of 2 digit numbers; extend written method of multiplying HTU X U; U.T X U; TU X TU; U.T X U.T and dividing HTU U; HTU TU and U.T U.T; divide.p by 2 digit number to give.p; consolidate the rapid recall of number facts including positive integers and decimals of 100; derive division facts; make and justify estimations and approximations; recognise the equivalence of simple fractions, decimals and percentages; calculate simple % and use percentages to compare proportions; calculate simple fraction of quantities and measurements giving whole number and fractional answers; multiply a fraction by an integer; multiply and divide an integer by a fraction. Find the mode, mean, median and range for a set of data; represent, extract and interpret data in tables, graphs and charts; identify possible data source and decide which data will be relevant to a statistical enquiry; suggest answers to address statistical problems; decide which data to collect to answer questions; design a data collection sheet or questionnaire; carry out a simple survey; construct frequency tables for discrete data and grouped where appropriate; find the mode, median, range and modal class for grouped data; calculate the mean including from a frequency table; calculate mean using assumed mean; construct graphs and diagrams to represent data including pie charts, simple line graphs for time series, bar charts, frequency diagrams for discrete and continuous data etc; compare two or more distributions using the range and one or two of the averages; write a short report of a statistical enquiry and illustrate conclusions with appropriate diagrams; use correctly a probability scale; calculate probability of events happening; calculate probability of an event not happening; interpret and design a Carroll table for two events and calculate required probabilities; find and record all mutually exclusive outcomes for two successive events; carry out experiments of events to estimates outcomes of probabilities. Read and plot coordinates in all 4 quadrants; construct and solve simple equations with integer coefficients on one or both sides; substitute positive integers in simple linear expressions and formulae from mathematics and other subjects; derive formulae; substitute integers into simple formulae that leads to an equation to solve; substitute positive integers into expressions with small powers; generate and describe simple sequences in practical contexts; express simple functions in words and symbols; use linear expressions to describe the nth term of an arithmetic sequence; represent functions in mapping diagrams; plot linear graphs where x is explicitly given in terms of y; recognise straight lines parallel to the x and y axes;

4 Shape and Measures 4 Transformations Shape and Measures 5 Geometrical reasoning: Lines, angles and shapes Construction Problem Solving Numbers Shape and Measures Statistics including Algebra Recognise reflections and translations; determine where a 2-D shape will be following reflections or translations; know the language associated with reflection, translation and rotation; visualise transformation and symmetry of a 2-D shape; reflect in given mirror and line symmetry; rotate 2-D shape about a given point; recognise rotation symmetry; explore these transformations symmetries using ICT; Transform 2-D shapes by simple combinations of rotations, reflections and translations, on paper and using ICT; identify all the symmetries of 2-D shapes 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. Recognise reflections and translations; determine where a 2-D shape will be following reflections or translations; calculate angles on a straight line, in a triangle and at a point; use ruler and protractors to draw acute, obtuse angles to the nearest degrees; identify and use angle, side and symmetry properties of triangles & quadrilaterals to solve problems; solve geometrical problems using side and angle properties of equilateral, isosceles and rightangled triangles and special quadrilaterals; classify quadrilaterals by their geometrical properties; use ruler, protractors or compass to construct triangles given SSS, ASA and SAS; use a ruler and compass to construct the perpendicular bisector of a straight line, the bisector of an angle; use a ruler and protractor to construct simple nets of 3-D shapes e.g. cube, cuboid, regular tetrahedron, square-based pyramid, triangular prism. Visualise 3-D shapes from 2-D drawings and identify different nets for a closed cube. Solve more demanding problems and investigate in a range of contexts: number and measures; Represent problems mathematically, making correct use of symbols, words, diagrams, tables and graphs. Break a complex calculation into simpler steps, choosing and using appropriate and efficient operations, methods and resources, including ICT. Understand the significance of a counterexample. Understand the relationship between ratio and proportion; Solve simple problems about ratio and proportion using informal strategies. Identify the necessary information to solve a problem; represent problems and interpret solutions in algebraic or graphical form, using correct notation. Solve more complex problems by breaking them into smaller steps or tasks, choosing and using efficient techniques for calculation. Use logical argument to establish the truth of a statement; give solutions to an appropriate degree of accuracy in the context of the problem. Suggest extensions to problems, conjecture and generalise; Identify exceptional cases or counter-examples. Solve increasingly demanding problems and evaluate solutions; explore connections in mathematics across a range of contexts. Present a concise, reasoned argument, using symbols, diagrams and graphs and related explanatory text Use proportional reasoning to solve a problem, choosing the correct numbers to take as 100%, or as a whole; compare two ratios; interpret and use ratio in a range of contexts, including solving word problems.

5 Topics Number 3 FDPRP Solving problems Calculation & Calculator method & Place Value Algebra 3 Integers, powers and roots Sequences, functions and graphs Algebra 4 Equations and formulae Graphs Shape and Measures 3 Transformations Geometrical reasoning: lines, angles and shapes Statistics 2 Handling data Year 8: Spring Term Schedule 2 Decimal notations; place values; multiply and divide integers and decimals by 10, 100 & 1000; round to nearest 10, 100 & 1000; multiply & divide whole numbers and decimals; read and write integer power of 10; multiply and divide integers by 0.1, and 0.01; order decimals; round numbers to given power of 10; round decimals to nearest whole number, 1 or 2 decimal places; calculations involving squares, square roots, cubes and cube roots; addition & division of integers and decimals; add, subtract, divide & multiply integers and decimals of any size. Functions in words; coordinates; straight line graphs parallel to x and y axes; represent mapping algebraically; linear functions and corresponding equation y = mx + c; real life problems and graphs; construct linear functions and comments on real life graphs; inverse of linear functions; linear functions with explicit and implicit y values; distance time graphs; use ICT to plot linear graphs; find he gradients of lines given by equation y =mx + c; generate coordinate pairs in 1 to 4 quadrants. Represent unknown numbers using letters; construct and solve simple equations using inverse operations; define the terms functions, equations and formulae; substitutions; formulae from mathematics and other subjects; derive formulae; change subjects of formulae in simple cases. Construct and solve linear equations with integer coefficients (with and without brackets, negative signs anywhere in the equation, positive or negative solution), using an appropriate method. Visualise symmetry of 2 D shapes; reflection in mirror lines; rotation about a given point; rotational symmetry; translations of 2 D shapes; solve ratio and proportion change problems; congruent shapes; combine transformations by reflection, rotation and translation; identify all symmetries in 2 D shapes; enlarge 2 D shapes from a given centre of enlargement and a positive scale factor; identify all symmetry in 3 D shapes; enlarge 2 D shapes given a centre of enlargement and a negative whole number scale factors; use proportional reasoning to solve problems; interpret and use ratio in real life context. Design data collection sheets or questionnaire; identify related questions to statistical problems; conduct simple survey; construct frequency tables; find the mean, median, mode and range for discrete data; represent data on line graphs, pie charts; construct stem and leaf diagrams; bar charts & frequency diagrams for discrete data; data sources; write a short report of a statistical enquiry and illustrate with appropriate diagrams, graphs and charts; Interpret graphs and diagrams and draw inferences to support or cast doubt on initial conjectures; have a basic understanding of correlation. 2 Please note that the homework details given above are exemplars and that your child may not receive all of the teaching contents because of settings. Please speak to your child s class teacher for details of specific homework.

6 Summer Term Schedule Topics Number 4 Calculations and Measures Algebra 5 Sequences, functions and graphs Equations and formulae Statistics 3 Handling data, Probability Shape & Measures 4 Geometrical reasoning: lines, angles and shapes Transformations Mensuration Mental calculations of decimal, fractions & percentages; multiply & divide whole numbers and decimals; add & subtract fractions and integers; multiply & divide integers; BIDMAS; estimation and approximations; explain the effect of multiplying and dividing by numbers between 0 and 1; convert one metric unit to another; use units of measurement to estimate, calculate and solve problems in everyday contexts. Collect like terms; Construct and solve simple linear equations with integer coefficients (unknown on one side only) using an appropriate method; generate coordinate pairs that satisfy a simple linear rule; recognise straightline graphs parallel to the x-axis or y-axis; multiply a single term over a bracket; construct and solve linear equations with integer coefficients (unknown on either or both sides, without and with brackets); plot the graphs of linear functions, where y is given explicitly in terms of x, on paper and using ICT; construct linear functions arising from real-life problems and plot their corresponding graphs. Simplify or transform algebraic expressions by taking out single term common factors; construct and solve linear equations with integer coefficients (with and without brackets, negative signs anywhere in the equation, positive or negative solution), using an appropriate method. Use systematic trial and improvement methods and ICT tools to find approximate solutions of equations such as x 3 + x = 20; solve problems involving direct proportion using algebraic methods, relating algebraic solutions to graphical representations of the equations; use ICT as appropriate. Plot graphs of linear functions (y given implicitly in terms of x), e.g. ay + bx = 0, y + bx + c = 0, on paper and using ICT. Suggest answers to address statistical problems; decide which data to collect to answer questions; design a data collection sheet or questionnaire; carry out a simple survey; construct frequency tables for discrete data and grouped where appropriate; find the mode, median, range and modal class for grouped data; calculate the mean including from a frequency table; calculate mean using assumed mean; construct graphs and diagrams to represent data including pie charts, simple line graphs for time series, bar charts, frequency diagrams for discrete and continuous data etc; compare two or more distributions using the range and one or two of the averages; write a short report of a statistical enquiry and illustrate conclusions with appropriate diagrams; use correctly a probability scale; calculate probability of events happening; calculate probability of an event not happening; interpret and design a Carroll table for two events and calculate required probabilities. Use 2-D representation to visualise 3-D; deduce key properties; construct simple nets of 3-D shapes; find coordinates of points determine by geometric information; draw lines to the nearest mm and angles to the nearest degrees; use ruler and protractor to construct triangles SAS & ASA; use accurately geometric properties to solve problems; plans and elevations; scale drawing; given coordinates of points A and B, find the midpoint of the line segment AB; use ruler and compass to construct triangles SSS & RHS; find simple loci; use bearing to specify directions; use and interpret maps; calculate surface areas and volumes of right prisms.

7 Solving problem Numbers Shape and Measures Statistics including Algebra Solve more demanding problems and investigate in a range of contexts: number and measures; Represent problems mathematically, making correct use of symbols, words, diagrams, tables and graphs. Break a complex calculation into simpler steps, choosing and using appropriate and efficient operations, methods and resources, including ICT. Understand the significance of a counterexample. Understand the relationship between ratio and proportion; Solve simple problems about ratio and proportion using informal strategies. Identify the necessary information to solve a problem; represent problems and interpret solutions in algebraic or graphical form, using correct notation. Solve more complex problems by breaking them into smaller steps or tasks, choosing and using efficient techniques for calculation. Use logical argument to establish the truth of a statement; give solutions to an appropriate degree of accuracy in the context of the problem. Suggest extensions to problems, conjecture and generalise; Identify exceptional cases or counter-examples. Solve increasingly demanding problems and evaluate solutions; explore connections in mathematics across a range of contexts. Present a concise, reasoned argument, using symbols, diagrams and graphs and related explanatory text Use proportional reasoning to solve a problem, choosing the correct numbers to take as 100%, or as a whole; compare two ratios; interpret and use ratio in a range of contexts, including solving word problems.

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