Science, Nature & Math Mathematics Books

Year 1 ADDITION AND SUBTRACTION (WITHIN 10) Autumn Term BLOCK 2 - White Rose Maths

From White Rose Maths schemes for Year 1 Autumn Term BLOCK 2 – ADDITION AND SUBTRACTION (WITHIN 10). Maths activity for year 1The activities are designed to meet the aims of the national curriculum for mathematics: - become fluent in the fundamentals of mathematics, including through varied and frequent practice with increasingly complex problems over time, so that pupils develop conceptual understanding and the ability to recall and apply knowledge rapidly and accurately. - reason mathematically by following a line of enquiry, conjecturing relationships and generalisations, and developing an argument, justification or proof using mathematical language - can solve problems by applying their mathematics to a variety of routine and non-routine problems with increasing sophistication, including breaking down problems into a series of simpler steps and persevering in seeking solutions. Curriculum link for Year 1: - read, write and interpret mathematical statements involving addition (+), subtraction (–) and equals (=) signs - represent and use number bonds and related subtraction facts within 20 - add and subtract one-digit and two-digit numbers to 20, including zerosolve one-step problems that involve addition and subtraction, using concrete objects and pictorial representations, and missing number problems such as 7 = – 9.

Year 3 ADDITION AND SUBTRACTION Autumn Term BLOCK 2 - White Rose Maths

From White Rose Maths schemes for Year 3 Autumn Term BLOCK 2 - ADDITION AND SUBTRACTION. The activities are designed to meet the aims of the national curriculum for mathematics: - become fluent in the fundamentals of mathematics, including through varied and frequent practice with increasingly complex problems over time, so that pupils develop conceptual understanding and the ability to recall and apply knowledge rapidly and accurately. - reason mathematically by following a line of enquiry, conjecturing relationships and generalisations, and developing an argument, justification or proof using mathematical language - can solve problems by applying their mathematics to a variety of routine and non-routine problems with increasing sophistication, including breaking down problems into a series of simpler steps and persevering in seeking solutions. Curriculum link for Year 3: - add and subtract numbers mentally, including: ○ a three-digit number and ones ○ a three-digit number and tens ○ a three-digit number and hundreds - add and subtract numbers with up to three digits, using formal written methods of columnar addition and subtraction - estimate the answer to a calculation and use inverse operations to check answerssolve problems, including missing number problems, using number facts, place value, and more complex addition and subtraction.

Year 2 ADDITION AND SUBTRACTION Autumn Term BLOCK 2 - White Rose Maths

From White Rose Maths schemes for Year 2 Autumn Term BLOCK 2 – ADDITION AND SUBTRACTION. The activities are designed to meet the aims of the national curriculum for mathematics: - become fluent in the fundamentals of mathematics, including through varied and frequent practice with increasingly complex problems over time, so that pupils develop conceptual understanding and the ability to recall and apply knowledge rapidly and accurately. - reason mathematically by following a line of enquiry, conjecturing relationships and generalisations, and developing an argument, justification or proof using mathematical language - can solve problems by applying their mathematics to a variety of routine and non-routine problems with increasing sophistication, including breaking down problems into a series of simpler steps and persevering in seeking solutions. Curriculum link for Year 2: - solve problems with addition and subtraction: ○ using concrete objects and pictorial representations, including those involving numbers, quantities and measures ○ applying their increasing knowledge of mental and written methods - recall and use addition and subtraction facts to 20 fluently, and derive and use related facts up to 100 - add and subtract numbers using concrete objects, pictorial representations, and mentally, including: ○ a two-digit number and ones ○ a two-digit number and tens ○ two two-digit numbers ○ adding three one-digit numbers - show that addition of two numbers can be done in any order (commutative) and subtraction of one number from another cannotrecognise and use the inverse relationship between addition and subtraction and use this to check calculations and solve missing number problems.

Year 4 ADDITION AND SUBTRACTION Autumn Term BLOCK 2 a?? White Rose Maths

From White Rose Maths schemes for Year 4 Autumn Term BLOCK 2 – ADDITION AND SUBTRACTION. The activities are designed to meet the aims of the national curriculum for mathematics: - become fluent in the fundamentals of mathematics, including through varied and frequent practice with increasingly complex problems over time, so that pupils develop conceptual understanding and the ability to recall and apply knowledge rapidly and accurately. - reason mathematically by following a line of enquiry, conjecturing relationships and generalisations, and developing an argument, justification or proof using mathematical language - can solve problems by applying their mathematics to a variety of routine and non-routine problems with increasing sophistication, including breaking down problems into a series of simpler steps and persevering in seeking solutions. Curriculum link for Year 4: - add and subtract numbers with up to 4 digits using the formal written methods of columnar addition and subtraction where appropriate - estimate and use inverse operations to check answers to a calculationsolve addition and subtraction two-step problems in contexts, deciding which operations and methods to use and why.

Year 5 ADDITION AND SUBTRACTION Autumn Term BLOCK 2 - White Rose Maths

From White Rose Maths schemes for Year 5 Autumn Term BLOCK 2 - ADDITION AND SUBTRACTION. The activities are designed to meet the aims of the national curriculum for mathematics: - become fluent in the fundamentals of mathematics, including through varied and frequent practice with increasingly complex problems over time, so that pupils develop conceptual understanding and the ability to recall and apply knowledge rapidly and accurately. - reason mathematically by following a line of enquiry, conjecturing relationships and generalisations, and developing an argument, justification or proof using mathematical language - can solve problems by applying their mathematics to a variety of routine and non-routine problems with increasing sophistication, including breaking down problems into a series of simpler steps and persevering in seeking solutions. Curriculum link for Year 5: - add and subtract whole numbers with more than 4 digits, including using formal written methods (columnar addition and subtraction) - add and subtract numbers mentally with increasingly large numbers - use rounding to check answers to calculations and determine, in the context of a problem, levels of accuracysolve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why

Year 1 PLACE VALUE (WITHIN 20) Autumn Term BLOCK 4 - White Rose Maths

From White Rose Maths schemes for Year 1 Autumn Term BLOCK 4 – PLACE VALUE (WITHIN 20). The activities are designed to meet the aims of the national curriculum for mathematics: - become fluent in the fundamentals of mathematics, including through varied and frequent practice with increasingly complex problems over time, so that pupils develop conceptual understanding and the ability to recall and apply knowledge rapidly and accurately. - reason mathematically by following a line of enquiry, conjecturing relationships and generalisations, and developing an argument, justification or proof using mathematical language - can solve problems by applying their mathematics to a variety of routine and non-routine problems with increasing sophistication, including breaking down problems into a series of simpler steps and persevering in seeking solutions. Curriculum link for Year 1: - count to and across 100, forwards and backwards, beginning with 0 or 1, or from any given number - count, read and write numbers to 100 in numerals; count in multiples of twos, fives and tens - given a number, identify one more and one less - identify and represent numbers using objects and pictorial representations including the number line, and use the language of: equal to, more than, less than (fewer), most, leastread and write numbers from 1 to 20 in numerals and words.

Year 3 MULTIPLICATION AND DIVISION (1) Autumn Term BLOCK 3 - White Rose Maths

From White Rose Maths schemes for Year 3 Autumn Term BLOCK 3 - MULTIPLICATION AND DIVISION (1). The activities are designed to meet the aims of the national curriculum for mathematics: - become fluent in the fundamentals of mathematics, including through varied and frequent practice with increasingly complex problems over time, so that pupils develop conceptual understanding and the ability to recall and apply knowledge rapidly and accurately. - reason mathematically by following a line of enquiry, conjecturing relationships and generalisations, and developing an argument, justification or proof using mathematical language - can solve problems by applying their mathematics to a variety of routine and non-routine problems with increasing sophistication, including breaking down problems into a series of simpler steps and persevering in seeking solutions. Curriculum link for Year 3: - recall and use multiplication and division facts for the 3, 4 and 8 multiplication tables - write and calculate mathematical statements for multiplication and division using the multiplication tables that they know, including for two-digit numbers times one-digit numbers, using mental and progressing to formal written methodssolve problems, including missing number problems, involving multiplication and division, including positive integer scaling problems and correspondence problems in which n objects are connected to m objects.

Year 2 MONEY Autumn Term BLOCK 3 - White Rose Maths

From White Rose Maths schemes for Year 2 Autumn Term BLOCK 3 – MONEY. The activities are designed to meet the aims of the national curriculum for mathematics: - become fluent in the fundamentals of mathematics, including through varied and frequent practice with increasingly complex problems over time, so that pupils develop conceptual understanding and the ability to recall and apply knowledge rapidly and accurately. - reason mathematically by following a line of enquiry, conjecturing relationships and generalisations, and developing an argument, justification or proof using mathematical language - can solve problems by applying their mathematics to a variety of routine and non-routine problems with increasing sophistication, including breaking down problems into a series of simpler steps and persevering in seeking solutions. Curriculum link for Year 2: - choose and use appropriate standard units to estimate and measure length/height in any direction (m/cm); mass (kg/g); temperature (°C); capacity (litres/ml) to the nearest appropriate unit, using rulers, scales, thermometers and measuring vessels - compare and order lengths, mass, volume/capacity and record the results using >,

Year 4 MULTIPLICATION AND DIVISION Autumn Term BLOCK 4 a?? White Rose Maths

From White Rose Maths schemes for Year 4 Autumn Term BLOCK 4 – MULTIPLICATION AND DIVISION. The activities are designed to meet the aims of the national curriculum for mathematics: - become fluent in the fundamentals of mathematics, including through varied and frequent practice with increasingly complex problems over time, so that pupils develop conceptual understanding and the ability to recall and apply knowledge rapidly and accurately. - reason mathematically by following a line of enquiry, conjecturing relationships and generalisations, and developing an argument, justification or proof using mathematical language - can solve problems by applying their mathematics to a variety of routine and non-routine problems with increasing sophistication, including breaking down problems into a series of simpler steps and persevering in seeking solutions. Curriculum link for Year 4: - recall multiplication and division facts for multiplication tables up to 12 × 12 - use place value, known and derived facts to multiply and divide mentally, including: multiplying by 0 and 1; dividing by 1; multiplying together three numbers - recognise and use factor pairs and commutativity in mental calculations - multiply two-digit and three-digit numbers by a one-digit number using formal written layout - solve problems involving multiplying and adding, including using the distributive law to multiply two digit numbers by one digit, integer scaling problems and harder correspondence problems such as n objects are connected to m objects.

Year 1: HL Spring Block Length and Height 2020

From White Rose Maths schemes for Year 1 Spring Term BLOCK 3 – LENGTH AND HEIGHT

Year 1 : HL Spring Block 1 Addition and Subtraction (within 20) 2020

From White Rose Maths schemes for Year 1 Spring Term BLOCK 1 – ADDITION AND SUBTRACTION (WITHIN 20)

Year 1: HL Spring Block Mass and Capacity 2020

From White Rose Maths schemes for Year 1 Spring Term BLOCK 4 – MASS AND CAPACITY

Year 1 SHAPE Autumn Term BLOCK 3 - White Rose Maths

From White Rose Maths schemes for Year 1 Autumn Term BLOCK 3 – SHAPE. The activities are designed to meet the aims of the national curriculum for mathematics: - become fluent in the fundamentals of mathematics, including through varied and frequent practice with increasingly complex problems over time, so that pupils develop conceptual understanding and the ability to recall and apply knowledge rapidly and accurately. - reason mathematically by following a line of enquiry, conjecturing relationships and generalisations, and developing an argument, justification or proof using mathematical language - can solve problems by applying their mathematics to a variety of routine and non-routine problems with increasing sophistication, including breaking down problems into a series of simpler steps and persevering in seeking solutions. Curriculum link for Year 1: - recognise and name common 2-D and 3-D shapes, including: ○ 2-D shapes [for example, rectangles (including squares), circles and triangles]3-D shapes [for example, cuboids (including cubes), pyramids and spheres].

Year 1: HL Spring Block 2 Place Value (within 50) 2020

From White Rose Maths schemes for Year 1 Spring Term BLOCK 2 – PLACE VALUE (WITHIN 50)

Free sample worksheets from CGPa??s Times Table Activity Book for Ages 7-9

Free sample worksheets taken from CGP’s New Times Table Activity Book for Ages 7-9 (ISBN: 9781789085280).  These bright, colourful pages are brimming with charming characters and the answers are included. For more practice, try the full book -perfect for practice at home or in class, it’s loaded with times tables practice – ideal for ages 7-9. Each times table is laid out using shapes to help your child visualise them, followed by fun activities to make that knowledge stick! Self-assessment boxes at the end of each topic can be used to keep track of their progress. We’ve also thrown in a selection of exciting puzzles so your child can apply their Maths skills in a different context. Answers can be found at the back of the book.

Mathematics for the Physical Sciences

Introduction to and use of complex analysis and algebraic techniques to understand the solution of boundary value problems. Physics examples serve to introduce the fundamental partial differential equations and “special functions” of mathematical physics. A thorough analysis of Green’s functions leads to a discussion of integral equations. Supplementary topics include dispersion relations and rational function approximation.