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Use known facts to derive common conversions over 1
Pupil outcome: I can use known facts to derive common conversions over 1 Key learning points: - If 1 km is equal to one lot of 1,000 m, then 3 km is equal to three lots of 1,000 m, which is 3,000 m - If 1 l = 1,000 ml, then 4 l = 4 x...
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Convert from smaller to larger units of measure
Pupil outcome: I can apply known unit conversions to convert from smaller to larger units of measure. Key learning points: - 1 m = 1,000 mm - 1 kg = 1,000g - 1 l = 1,000ml - 1 km = 1,000m
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Explain the relationship between numerators and denominators in equivalent fractions
Pupil outcome: I can explain the relationship between the numerators and denominators in equivalent fractions Key learning points: - Equivalent fractions share the same multiplicative relationship between the numerator and denominator. -...
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The identity property of multiplication and division
Pupil outcome: I can use the fact that 1 can be written in the form n/n and vice versa. Key learning points: - Anything multiplied by one is itself. - Anything divided by one is itself. - One can be written in infinitely many ways using...
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Dividing with decimals
Pupil outcome: I can generalise and fluently use written division strategies to calculate accurately with decimals. Key learning points: - Divisions can be written as fractions. - Equivalent fractions mean an equivalent calculation can...
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Solve problems using fraction-decimal equivalents
Pupil outcome: I can solve problems using fraction-decimal equivalents Key learning points: - 0.1 is equal to 1/10 - 0.2 is equal to 1/5 - 0.25 is equal to 1/4 - 0.5 is equal to 1/2 - 0.5 is equal to 1/2
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Identify the missing part using knowledge of relationships and structures
Pupil outcome: I can identify the missing part using knowledge of part whole relationships and structures. Key learning points: - A representation helps to identity the parts and wholes. - A representation helps to identify a missing...
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Recognise the equivalence of 2/4 and 1/2
Pupil outcome: I can recognise and explain the equivalence of one-half and two-quarters. Key learning points: - When a whole is divided in half, there are 2 equal parts. - When a whole is divided into quarters, there are 4 equal parts. -...
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Use known facts to carry out conversions that correspond to 10 and 100 parts
Pupil outcome: I can use known facts to carry out conversions that correspond to 100 parts. Key learning points: - If 1 cm = 10 mm, then 3 cm = 3 x 10 mm = 30 mm - If 1 m = 100 cm, then 3 m = 3 x 100 cm = 300 cm - If £1.00 = 100 p, then...
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Explain and represent how to divide 1 into different numbers of equal parts
Pupil outcome: I can divide 1 into different numbers of equal parts. Key learning points: - A point on a number line or scale between 0 and 1 can be represented by equivalent fractions or decimals. - Tenths and hundredths can be...
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Explain how making a factor 10 times the size affects the product
Pupil outcome: I can explain how making a factor 10 times the size affects the product Key learning points: - If one factor is made ten times the size, the product will be ten times the size. - One factor has been multiplied by 10 so the...
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Multiplying and dividing a number by 10, 100 and 1,000
Pupil outcome: I can explain the effect of multiplying and dividing a number by 10, 100 and 1,000 Key learning points: - To multiply a number by 1,000 move the digits three places to the left - this makes the number 1,000 times the size....
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Read and write numbers up to one million using a place value chart
Pupil outcome: I can read and write numbers up to one million using a place value chart. Key learning points: - We use commas to separate the thousands from the ones and the millions from the thousands. - Grouping the digits in threes...
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Composition of 100 in 10s and 1s
Pupil outcome: I can compose 100 in 10s and 1s. Key learning points: - There are 10 tens in 100 - There are 100 ones in 100 - 100 can be represented in different ways and in different contexts
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Converting between centimetres and millimetres
Pupil outcome: I can convert between centimetres and millimetres Key learning points: - To convert between cm and mm, we can use the relationship between 1 cm and 10 mm. - To convert between mm, and cm and mm, we can use partitioning. -...
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Multiplying an expression by a constant
Pupil outcome: I can use the distributive law to multiply an expression by a constant. Key learning points: - The distributive law can make multiplication easier. - The distributive law can be understood using an area model. - A bar...
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Pupils use strategies to make solving calculations more efficient
Pupil outcome: I can use strategies to make solving calculations more efficient. Key learning points: - Equivalent calculations can be used with the same difference or same sum to make calculations ‘easier’. - A number line can be used...
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Converting between metres and centimetres
Pupil outcome: I can convert between metres and centimetres. Key learning points: - Using the known fact that 100 cm are equivalent to 1 m can help us convert between cm and m. - Partitioning and using the relationship between 1 m and...
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Arc Measure vs Arc Length
In this video, we try to build a conceptual understanding of how to find arc length of a circle using a the proportion strategy or the equation strategy. *Important note: the arc measure is independent of the radius! *In the example at...
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PROOF of Law of Sines
How to prove the Law of Sines. Why does the Law of Sines work? In this video we prove the Law of Sines for right triangles. The Law of Sines is a great tool for finding side lengths and angle measures of triangles, so it is good to know...
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Factorization Techniques! Very useful for GCSE and High School students! Get it right all the time!
Welcome to our complete high school mathematics tutorial series! Whether you’re a student preparing for exams, a teacher seeking additional resources, or a parent helping your child succeed in math, these videos cover a wide range of...
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Algebaic Word Problems
Welcome to our complete high school mathematics tutorial series! Whether you’re a student preparing for exams, a teacher seeking additional resources, or a parent helping your child succeed in math, these videos cover a wide range of...
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C++: Learn about ASCII codes and Casting
In this video, we will explore the ASCII table and get introduced to the concept of casting.
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De Moivre's theorem to prove Trigonometric Identities
Learn how De Moivre's theorem can be used to prove Trigonometric Identities. Welcome to our comprehensive series of Advanced High School Mathematics Tutorials! This series is perfect for students, teachers, and anyone looking to deepen...