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FOUNDATION Y10 AUTUMN TERM UNIT: N1 - Integers TIME ALLOCATION: 5 Hours PRIOR KNOWLEDGE KEY WORDS STARTER Understand the four rules Counting number, positive Target boards of number number, negative number, Bingo Understand place value Integer, directed number, Five in a row Understand the inequality less than, greater than, sum, Types of number bingo (‘101 signs product, factor, multiple, red hot maths starters – Know the meaning of sum lowest common multiple, Letts) and product common factor, highest Change a decimal into a common factor, prime fraction number, index notation, Change a mixed number reciprocal into a top-heavy fraction LEARNING OBJECTIVES RESOURCES/ACTIVITIES/ICT G-F Activities: Understand and use positive and negative Card sort in a two way table. Match numbers integers, both as positions and translations against type of number criteria. on a number line Order integers ICT: Find the factors of a number Add and subtract negative integers Resources: E-D Success For All: N8, N9 www.bbc.co.uk/education/mathsfile Multiple and divide negative integers Game - Builder Ted, Grid Game www.mathematics.hellam.net C Mathematical matches, sets of number. Recognise prime numbers Game – Number cruncher, multiples Find the reciprocal of a number www.active-maths.co.uk/whiteboard Find the least common multiple of two Secondary 11-16, Integers, Powers and Roots simple numbers www.illuminations.nctm.org Find the highest common factor of two The Factor Game simple numbers Write a number as a product of its prime factors FUNCTIONAL SKILLS and MPA OPPORTUNITIES AQA: game of 31 (level2) Game of 31 teachers notes PLENARIES/KEY QUESTIONS FOUNDATION Y10 AUTUMN TERM UNIT: N2 - Powers and Roots TIME ALLOCATION: 4 Hours PRIOR KNOWLEDGE KEY WORDS STARTER Understand the idea of Square number, cube number, Card sort match square numbers square root, cube root, index, squares/cubes and their Understand the idea of power, exponent, indices roots reciprocals Basic use of algebra LEARNING OBJECTIVES RESOURCES/ACTIVITIES/ICT G-F Activities: Calculate squares and square roots (with Prisoner Lock up Problem. and without the use of a calculator) A prison has 25 prisoners (one in each cell) E-D and 25 jailers. The cells are numbered 1-25. The jailers go to a party one night and return Use the terms square, positive square root, very merry. The first jailer unlocks every negative square root, cube and cube root Use index notation for squares, cubes and cell, the second jailer locks every cell that is a multiple of 2, the third jailer turns the key powers of ten in the lock for cells whose numbers are Estimate square roots multiples of 3 and so on until the twenty- Recall integers facts from 2X2 to 15X15 fifth jailer. All the jailers fall asleep and the and the corresponding square roots prison is silent. The prisoners all try their Recall the cubes of 2, 3, 4, 5 and 10 doors – which ones escape? C Match cards that show numbers with cards Calculate cubes and cube roots (with and that show calculations and calculator displays without the use of a calculator) in standard form. Alternatively, the cards Use calculators effectively and efficiently, might show the same calculation written in know how to enter complex calculations and different ways. use the function keys for reciprocals, ICT: squares and powers Use excel to estimate roots Use index laws for multiplication and Resources: division of integer powers Success For All: N4 Express standard index form both in www.mymaths.co.uk conventional notation and on a calculator Square and cube matching game display FUNCTIONAL SKILLS and MPA OPPORTUNITIES AQA: codes (level2) Codes teachers notes PLENARIES/KEY QUESTIONS FOUNDATION Y10 AUTUMN TERM UNIT: N3 - Fractions and Ratio TIME ALLOCATION: 4 Hours PRIOR KNOWLEDGE KEY WORDS STARTER Using the four operations Compare, ratio, simplify, Dominoes Ability to recognise shared, scales, proportion Loop cards common factors Knowledge of fractions LEARNING OBJECTIVES RESOURCES/ACTIVITIES/ICT G-F Activities: Understanding equivalent fractions; Fraction walls, identify odd one out, place simplifying a fraction by cancelling all fraction cards in order. common factors Use of sweets to divide in a given ratio. Ordering fractions by rewriting them with a common denominator ICT: Using ratio notation, including reduction to its simplest form and its various links to fraction notation Resources: Success For All: N6 E-D www.active-maths.co.uk/whiteboard Solving word problems about ratio and Secondary 11-16, Fractions, decimals, proportion, including using informal percentage, ratio and proportion strategies and the unitary method of www.mymaths.co.uk solution Fraction pairs matching game Dividing a quantity in a simple ratio www.mathematics.hellam.net C Equivalent Fractions, Fraction switch Dividing a quantity in a given ratio including a:b:c FUNCTIONAL SKILLS and MPA OPPORTUNITIES AQA Hair Salon (level 1) Hair salon teachers notes AQA Internet Advertising (level 2) internet advertising teachers notes AQA – Steep Hill Road Signs (level 1) AQA: coffee (level2) coffee teachers notes AQA: gold (level2) gold teachers notes PLENARIES/KEY QUESTIONS FOUNDATION Y10 SPRING TERM UNIT: N4 - Mental Methods TIME ALLOCATION: 6 Hours PRIOR KNOWLEDGE KEY WORDS STARTER The ability to order numbers Round, significant figures, Bingo (www.topmarks.co.uk) Appreciation of place value decimal places, estimate, Four in a row on grids Experience of the 4 operations upper bound, lower bound Target boards using whole numbers Knowledge of integer complements to 10 Knowledge of multiplication facts to 10 10 Knowledge of strategies for multiplying and dividing whole numbers by 10 LEARNING OBJECTIVES RESOURCES/ACTIVITIES/ICT G-F Activities: Recall all positive integer complements to Sort cards into correct place on two-way 100 grid. Horizontally number of decimal places Round to the nearest integer 0-3, vertically number of significant figures Understanding place value and round to a 0-3. given power of 10 Round to a given number of decimal places ICT: Estimate answers to problems involving decimals Resources: E-D Success For All: N3 www.bbc.co.uk/education/mathsfile Round a number to one significant figure Game – Rounding off Use a variety of checking procedures, including the problem backwards, and www.active-maths.co.uk/whiteboard Secondary 11-16, Place value, ordering and considering whether a result is of the right rounding. Calculations: checking results magnitude Understand the calculator display eg in money calculations. C Find minimum and maximum values FUNCTIONAL SKILLS and MPA OPPORTUNITIES City & Guilds – Healthy Eating activity 1 (Level 2) Healthy eating teachers notes AQA: farm animals (level2) farm animals teachers notes AQA Internet Advertising (level 2) Internet advertising teachers notes OCR task 2: solar panels (level2) Solar panels teachers notes OCR: Jan08: task1 MP3 (level2) PLENARIES/KEY QUESTIONS FOUNDATION Y10 SPRING TERM UNIT: N5 - Calculations TIME ALLOCATION: 6 Hours PRIOR KNOWLEDGE KEY WORDS STARTER The ability to order Place value, sum, difference, Countdown numbers product, reciprocal Speed grids Appreciation of place value Experience of the 4 operations using whole numbers LEARNING OBJECTIVES RESOURCES/ACTIVITIES/ICT G-F Activities: Using standard column procedures for Multiplication Mayhem (www.sln.org.uk/maths) addition and subtraction of integers Fill in missing numbers on cards, such as _ multiplied by 103 is_ Fill in missing operations by describing as many operations as can to get from a start E-D number to a second number. Give pupils a calculation and ask them to Multiply and divide integers Multiplying or dividing any number by extend and develop it to find equivalent calculations. powers of 10, and any positive number by a number between 0 and 1 ICT: Use excel for place value chart. Discuss multiplication that takes you from one column entry to another. Use hide and reveal C techniques. Alternatively give four entries Understand reciprocal as multiplicative and ask pupils to create whole chart. inverse, knowing that any non-zero number Resources: multiplied by its reciprocal is 1. Success For All: N2 Use index laws to simplify and calculate www.active-maths.co.uk/whiteboard the value of numerical expressions involving Secondary 11-16, Calculations: written multiplication and division of integer methods. powers Microsmile: Tenners FUNCTIONAL SKILLS and MPA OPPORTUNITIES AQA – Premium Bonds (level 1/2) AQA: gold (level2) teachers notes AQA – Plastic codes (level 2) AQA: energy labels (level2) teachers notes AQA - Radiators (level 1) AQA Rainforest facts (level 1) AQA - Speed check (level 2) AQA: bookclub: (level2) teachers notes AQA – The World’s Population (level 1) AQA: calendar (level2) teachers notes AQA – Transport Issues (level 1) AQA: bricklaying (level2) teachers notes AQA – Unusual Measures (level 1) AQA: Digital prints (level2) teachers notes PLENARIES/KEY QUESTIONS FOUNDATION Y10 SUMMER TERM UNIT: N6 - Fractions TIME ALLOCATION: 6 Hours PRIOR KNOWLEDGE KEY WORDS STARTER Multiplication facts Fraction, numerator, denominator, Use a grid to shade fractions Ability to find common factors unit fraction, proper fraction, of it. Alternatively show grid Understand numerator and improper or top heavy fraction, shaded in various colours ask denominator mixed number or mixed fraction, A basic understanding of decimal fraction, equivalent pupils what fraction is fractions as being ‘parts of a fraction, simplify a fraction or shaded. whole unit’ express a fraction in its simplest Use of a calculator with form fractions LEARNING OBJECTIVES RESOURCES/ACTIVITIES/ICT G-F Activities: Understanding equivalent fractions; simplifying a Use spider diagrams to list equivalent fraction by cancelling all common factors fractions. Use fraction walls, pupils can make Ordering fractions by rewriting them with a their own. Place cards with fractions on into common denominator ascending or descending order. E-D Roll a dice twice. The first score is the Work out fractions of quantities, understand and numerator the second is the denominator. Is use unit fractions as multiplicative inverses Expressing a given number as a fraction of another it proper/improper, give an equivalent Adding and subtracting fractions by writing them fraction, can it be simplified, does it give a with a common denominator recurring decimal? How many different Multiplying simple fractions fractions do the dice give? Convert fractions to decimals ICT: C Write an improper fraction as a mixed fraction Using a calculator to change fractions into decimals Resources: and look for patterns Working with improper fractions and mixed www.active-maths.co.uk/whiteboard numbers Secondary 11-16, Fractions, decimals, Do calculations with simple fractions involving percentage, ratio and proportion division www.mymaths.co.uk Game – Fraction Golf FUNCTIONAL SKILLS and MPA OPPORTUNITIES City & Guilds – Healthy Eating activity 2 (Level 2) teachers notes AQA Hair Salon teachers notes OCR task 2: solar panels (level2) teachers notes BTEC – And the winner is PLENARIES/KEY QUESTIONS FOUNDATION Y10 SUMMER TERM UNIT: N7 - Decimals TIME ALLOCATION: 6 Hours PRIOR KNOWLEDGE KEY WORDS STARTER The concepts of a fraction Digit, integer, decimal, Speed grids and a decimal numerator, denominator, Add, subtract, multiply and terminating decimal, recurring divide whole numbers decimal LEARNING OBJECTIVES RESOURCES/ACTIVITIES/ICT G-F Activities: Using decimal notation and recognising that Some pupils out at the front of the class. Place each terminating decimal is a fraction numbers on their back. Class arrange in order. Writing decimal numbers in order of size Pupils at front offer suggestions to what the numbers could be. E-D Clouding the picture. For example, ask pupils to Rounding to a given number of significant complicate a central fraction in as many ways as figures (and decimal places) they can. Replace the centre number by decimals, Adding and subtracting mentally numbers with percentages or ratios. up to two decimal places Using standard column procedures for addition ICT: and subtraction of decimals Using standard column procedures for multiplication of decimals, understanding where Resources: to position the decimal point by considering Success For All: N1 what happens if they multiply equivalent www.active-maths.co.uk/whiteboard fractions Secondary 11-16, Fractions, decimals, percentage, Estimating answers to problems, add and ratio and proportion subtract mentally numbers with up to 2 dp www.bbc.co.uk/education/mathsfile Understand and use the equivalents between Game – Saloon Snap fractions, decimals and percentages www.mathematics.hellam.net C Mathematical matches, fractions 1/2 Dividing by a decimal (up to 2 dp) by Decimal challenge transforming it to a problem involving division using by an integer Recognising that recurring decimals are exact fractions, and that some exact fractions are recurring decimals FUNCTIONAL SKILLS and MPA OPPORTUNITIES AQA – Nines (level 2) (R2-4, A2) AQA – Premium Bonds (level 1/2) AQA - Radiators (level 1) AQA - Rainforest facts (level 1) AQA - Shoe sizes (level 1/2) AQA – Transport Issues (level 1) AQA – The Solar System (level 2) PLENARIES/KEY QUESTIONS FOUNDATION Y11 AUTUMN TERM UNIT: N8 - Percentages TIME ALLOCATION: 6 Hours PRIOR KNOWLEDGE KEY WORDS STARTER 4 operations of number Percentage, numerator, Percentage bingo The concepts of a fraction and a denominator, interest, principal, Dominoes decimal rate, time, amount, balance, Number complements to 10 and deposit, discount, VAT, multiplication tables depreciation, credit Awareness that percentages are used in everyday life LEARNING OBJECTIVES RESOURCES/ACTIVITIES/ICT G-F Activities: Understanding the ‘percentage’ means ‘number Sorting activities. Sort a set of cards to make of parts per 100’ and use this to compare correct calculations eg. 20 %of 90 = 30 proportions Use spider diagrams to calculate different Change a percentage to a fraction or decimal percentages of a quantity. and visa versa ICT: E-D Compare percentages, fractions and decimals Work out a percentage of a given quantity Resources: Calculate simple interest Success For All: N7 Increase or decrease a quantity by a given www.active-maths.co.uk/whiteboard percentage Secondary 11-16, Fractions, decimals, percentage, Express one quantity as a percentage of ratio and proportion another www.mathematics.hellam.net C Percentage estimation Find a percentage increase/decrease, of an amount Calculate compound interest for two, or more, periods of time Calculate an index number Understand the multiplicative nature of percentages as operators FUNCTIONAL SKILLS and MPA OPPORTUNITIES AQA Heart Rate (level 2) teachers notes AQA Internet Advertising (level 2) teachers notes AQA – Nines (level 2) AQA – Premium Bonds (level 1/2) AQA - Rainforest facts (level 1) AQA – Steep Hill Road Signs (level 1) AQA – The World’s Population (level 1) AQA – Transport Issues (level 1) PLENARIES/KEY QUESTIONS FOUNDATION Y11 SPRING TERM UNIT: N9 - Order of Operations TIME ALLOCATION: 2 Hours PRIOR KNOWLEDGE KEY WORDS STARTER Know multiplication tables BIDMAS, brackets, square, Bingo up to 10X10 cube, power, index, reciprocal Be able to work out powers of a number LEARNING OBJECTIVES RESOURCES/ACTIVITIES/ICT G-F Activities: Use a calculator to work out expressions E-D which give answers that are words. Complete expressions with missing operations. Understand simple instances of BIDMAS, True/False statements e.g. work out 12 5 – 24 8 ICT: C Be able to use a scientific calculator to work out a complex expression Resources: Success For All: N5 FUNCTIONAL SKILLS and MPA OPPORTUNITIES PLENARIES/KEY QUESTIONS

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