Lesson objective: To solve problems involving the relative sizes of two quantities where missing values can be found by using integer multiplication and division facts.
In this lesson, students will be introduced to ratio and proportion and it will be explained that ratio shows the relative sizes of two or more values and proportion is a part, share, or number in relation to the whole.
Through an engaging powerpoint they will first learn how ratio and proportion are used in real-life contexts and will begin to write the ratio and proportion of shaded parts of shapes/ objects. They will have a go at differentiated questions before moving onto the differentiated activity sheets. 3 levels of challenge and provided along with the answer sheets.
Duration: 1- 2 hours.
This lesson is the first of 4 lessons on ratio and proportion. If you would like to purchase the rest of the BUNDLE, please click here: https://www.tes.com/teaching-resource/maths-ratio-and-proportion-year-6-12306457
This sequence of lessons cover:
solving problems involving the relative sizes of two quantities where missing values can be found by using integer multiplication and division facts.
-solving problems involving unequal sharing and grouping using knowledge of fractions and multiples.
-solving problems involving similar shapes where the scale factor is known or can be found.
-Mix of problem solving with ratio and proportion.
All lessons include an engaging powerpoint presentation and 3 levels of differentiated worksheets. Answer sheets are also provided.
These lessons are aimed at Year 6 students but can easily be modified to suit Year 5 or lower KS3 students.
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Lesson objective: To problem solve with ratio and proportion. In this lesson, students will recap what ratio and proportion is and how ratio can be calculated in given amounts. They will look at how to work out the scale factor a shape has been enlarged by as well as how to approach word problems.
They will then complete a range of ratio and proportion problems on the activity sheets. 3 levels of differentiation are provided as well as the answer sheets.
Duration: 1-2 hours
This lesson is aimed at Year 6 students but can easily be modified to suit Year 5 or lower KS3.
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Lesson objective: To solve problems involving similar shapes where the scale factor is known or can be found.
In this lesson, students will learn what scale factor is and how to find out what scale factor a shape has been enlarged by. They will learn how we use scale factor in real life contexts and will use their knowledge of factors and multiples to work out what scale factor shapes have been enlarged by. During the main teaching input through the presentation, they will relate this to a variety of different shapes as well as model aircrafts used during WW2.
They will then complete 3 differentiated levels of problem solving worksheets. Answers are also provided.
Duration: 1 hour
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Lesson objective: To solve problems involving unequal sharing and grouping using knowledge of fractions and multiples.
In this lesson, students will learn how to calculate/ share amounts in a given ratio. The powerpoint presentation will first recap ratio and how to use knowledge of factors and multiples to find the answers. Students will then see visually how to share ratios in given amounts and then how to use the given steps. They will be instructed to complete differentiated problems to allow the teacher to check understanding.
They will then complete differentiated worksheets with problems. 3 levels of differentiation are provided as well as the answer sheets.
Duration: 1-2 hours
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This BUNDLE includes lessons on the following:
solve problems involving the calculation and conversion of units of measure, using decimal notation up to three decimal places where appropriate.
use, read, write and convert between standard units, converting measurements of length, mass, volume and time from a smaller unit of measure to a larger unit, and vice versa, using decimal notation to up to three decimal places.
convert between miles and kilometres.
recognise that shapes with the same areas can have different perimeters and vice versa.
recognise when it is possible to use formulae for area and volume of shapes
calculate the area of parallelograms and triangles
calculate, estimate and compare volume of cubes and cuboids using standard units, including cubic centimetres (cm3) and cubic metres (m3), and extending to other units[for example, mm3 and km3].
All lessons come with an engaging power point presentation, activity sheets and answers.
All lessons are intended for Year 6 students but can easily be modified to suit lower KS2 and KS3 students.
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In this lesson, students will work towards the national curriculum objective: Calculate, estimate and compare volume of cubes and cuboids using standard units, including cubic centimetres (cm3 ) and cubic metres (m3 ), and extending to other units
In this lesson, students will learn what volume is and how to find the volume of cubes and cuboids using the formulae LxWxH. They will begin by counting 1cm3 cubes before moving on to using the formulae on whole cubes and cuboids.
3 levels of differentiated activity sheets are provided (LA, MA & HA). Students will complete the problems which require them to use their reasoning and problem solving skills such as finding missing lengths.
Duration: 1 hour
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In this lesson, students will work towards the objective: calculate the area of parallelograms and triangles. They will be taught how to find the area of right-angled triangles first before moving onto all triangles and then parallelograms. They will see a range of examples on the engaging power point presentation and will complete a range of problems which call them to use their reasoning skills such as finding the missing side.
3 levels of differentiated worksheets are then provided with the answers for students to complete.
Duration: 1-2 hours.
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The perimeter is the total of all the side lengths of a shape added together and the area is the amount of two dimensional space a shape occupies. In this lesson, students will work on the objectives:* recognise that shapes with the same areas can have different perimeters and vice versa and recognise when it is possible to use formulae for area of shapes*.
In this lesson, students will learn how to calculate the area and perimeter of rectilinear shapes, understanding how formulae can be used. They will work on finding the area of real life buildings to help put their learning into real life context during the teaching input through an engaging power point presentation.
They will then complete activity sheets which require them to find the area and perimeter of rectilinear shapes through reasoning and problem solving. Three differentiated levels are provided as well as answer sheets.
Duration: 2 hours.
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In this lesson, students will apply their understanding of metric and imperial measurement unit conversions. They will revisit the conversions and when they would be used in real life and will then will complete a range of problems.
The activity sheets come in 3 levels and answers are provided. By the end of the lesson, students will have consolidated and applied their understanding to real life contexts.
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In this lesson, students will learn what the metric and imperial units of measurement are and will relate these to objects in real life contexts. They will learn how to convert between the two and during the activity will practise this skill. They will also complete word problems and be encouraged to produce a poster as a help sheet for themselves.
The activity sheets come in 3 different levels and answer sheets are provided.
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In this lesson, students will learn why it is important to have an understanding of measurement, what volume, length, capacity and mass mean and what the conversions are for metric measurements.
In the activity, they will estimate the measurements of different things and will work on converting between measures before completing practical measurement tasks. Three differentiated worksheets and answer sheets are provided.
By the end of the lesson, they will have developed a good understanding of metric measurement conversions.
Duration: 1-2 hours
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In this lesson students will learn how to find percentages of amounts and then how to problem solve with these.
Worksheet and answers provided.
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In this lesson, students will identify common factors and common multiples. They will learn what a highest common factor is, a lowest common multiple and will problem solve with factors and multiples.
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In this lesson, students will identify prime numbers to 100 and complete problems which require them to use their understanding of prime numbers in context.
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This term 1 BUNDLE for Year 6 students includes lessons on the following:
Place Value:
-read and write numbers up to 10 million
-order and compare numbers up to 10 million
-round any number to a required degree of accuracy
use negative numbers in context, and calculate intervals
Number: Addition, subtraction, multiplication and division
-solving addition and subtraction multi-step problems in context
-long multiplication method- multiply multi-digit numbers up to 4 digits by a 2 digit
-short division method interpreting remainders according to the context
-long division method interpreting remainders according to the context
-identify prime numbers
-identify common factors and common multiples
-identify square and cube numbers
Number: Fractions
-simplifying fractions
adding and subtracting fractions
-fractions of amounts
-ordering and comparing fractions
-multiplying fractions
-dividing fractions
Geometry: Position and direction
-describe positions on the full coordinate grid (all four quadrants)
-translation and reflection
All lessons come with an interactive powerpoint presentation and relevant resources which are differentiated. Answers are also provided.
By buying this BUNDLE, you will have more than enough content to cover the whole first term of Year 6. The resources have been tried and tested- they are high quality and support effective teaching towards the National Curriculum objectives.
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In this lesson students will work towards the objective: *To recall and use equivalences between simple fractions, decimals and percentages, including in different contexts. *
First students will learn how to convert between the 3 and will then complete a matching activity. They will be taught how to convert trickier conversions such as when the denominator of a fraction is and is not a multiple or factor of 100.
They will use the online site Mathsbot to consolidate the skill before moving onto a range of differentiated problems which cause them to apply their reasoning and fluency skills.
Answers are provided.
Duration: 1-2 hours
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In this lesson, students will work towards the objective: associate a fraction with division and calculate decimal fraction equivalents for a simple fraction.
They will first learn how to convert a fraction to a decimal using the short division method and will then convert a decimal to a fraction by multiplying by 100. They will have a number of differentiated conversions to complete to consolidate the skill and then will complete differentiated problems. These problems can be printed out and used as cards on tables.
LA/ HA & MA activity cards provided with answers are provided.
Duration: 1 hour
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Lesson objective:* To use written division methods in cases where the answer has up to 2 decimal places. *
In this lesson, students will look at dividing decimals by integers using written division methods. They will spend time practising the skill before moving on to a range of problems. There are 3 different levels of worksheets which come with answers.
By the end of the lesson, students will have worked on the skill as well as their problem solving skills.
Duration: 1-2 hours
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This lesson will cover the objective: multiply one-digit numbers with up to two decimal places by whole numbers. Students will first be taught how to use the column and grid methods to complete these calculations and reminded of the importance of place value. They will then practise using these methods on simple calculations and word problems.
Differentiated worksheets are provided which require students to first work out calculations mentally, then use the methods learnt with simple calculations and then with word problems. By the end of the lesson they will have consolidated their understanding of multiplying decimals by integers and been challenged to do so in context.
Answers are provided for the worksheets.
Duration: 1 hour
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