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Curated Video
Problem solving with surds
Pupil outcome: I can use my knowledge of surds to solve problems. Key learning points: - Surds are a useful format to leave an answer as. - Surds can help with the accuracy of future calculations. - Surds can be seen in many areas of maths.
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Algebraic ratios
Pupil outcome: I can form equations from algebraic ratios and solve to find an unknown. Key learning points: - Equivalent ratios have a scalar multiplier. - Two equations can be written which are simultaneous. - This can be set equal to...
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Rationalising a two term denominator
Pupil outcome: I can use the technique of rationalising the denominator to transform a fraction to an equivalent fraction. Key learning points: - Fractions should be given in their simplest term. - The denominator should be written as...
Curated Video
Problem solving with fractions and decimals
Pupil outcome: I can use my knowledge of fractions and decimals to solve problems. Key learning points: - Fractions can be used to solve problems in context. - Converting to decimals may be useful to solve problems in context. - It may...
Curated Video
Securing understanding of addition and subtraction with fractions
Pupil outcome: I can generalise and fluently use addition and subtraction strategies to calculate with fractions and mixed numbers. Key learning points: - To make the denominators the same, you may need to scale up or down. - It can be...
Curated Video
Ordering fractions by way of a common denominator
Pupil outcome: I can compare and order fractions by converting to fractions with a common denominator. Key learning points: - When a fraction is multiplied by 1 it remains the same but may look different. - Two fractions can be written...
Curated Video
Priority of operations with positive and negative integers, decimals and fractions
Pupil outcome: I can calculate using priority of operations, including brackets, powers, exponents and reciprocals with positive and negative integers, decimals and fractions. Key learning points: - Division and multiplication have the...
Curated Video
Understanding the median
Pupil outcome: I can understand what the median is measuring, how it is measuring it and find the median from data presented in a list. Key learning points: - The median is a measure of central tendency. - The median is the middle (or...
Curated Video
Explain which strategy for comparing non-related fractions is most efficient
Pupil outcome: I can explain which strategy for comparing non-related fractions is most efficient. Key learning points: - If the numerator is the same, the greater the denominator, the smaller the fraction. - If the numerator is the...
Curated Video
Operations with algebraic fractions
Pupil outcome: I can multiply, divide, add and subtract with algebraic fractions. Key learning points: - When multiplying/dividing, it can be easier to fully factorise every expression first. - When dividing by an expression, it is...
Curated Video
Between numbers
Pupil outcome: I can appreciate that, for any two numbers, there is always another number in between them. Key learning points: - Using a number line you can find numbers between two integers. - Using a number line you can find numbers...
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Changing the subject with multiple algebraic fractions
Pupil outcome: I can change the subject of a formula involving multiple algebraic fractions. Key learning points: - It is important to identify which variable is to become the subject. - Like terms containing the new subject should be...
Curated Video
Changing the subject where the variable appears in multiple terms
Pupil outcome: I can change the subject where the desired variable appears in multiple terms. Key learning points: - The variable to become the subject may appear in more than one term. - It is possible the terms cannot be additively...
Curated Video
Ordering fractions in different ways
Pupil outcome: I can compare and order fractions using a range of techniques. Key learning points: - Two fractions can be compared when they have the same numerator. - Two fractions can be compared by comparing their respective...
Curated Video
Recognising special number sequences
Pupil outcome: I can recognise a special number sequence. Key learning points: - You can identify an arithmetic sequence by checking for a common difference between terms. - You can identify a geometric sequence by checking for a common...
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Arithmetic sequences
Pupil outcome: I can appreciate the features of an arithmetic sequence and be able to recognise one. Key learning points: - Finding the difference between each term can help you identify different types of sequence. - Sequences with a...
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Add and subtract non-related fractions with different denominators
Pupil outcome: I can add and subtract non-related fractions with different denominators. Key learning points: - Common denominators for non-related fractions can be found using common multiples of the denominators. - Fractions need to...
Curated Video
Solving equations with algebraic fractions
Pupil outcome: I can manipulate and solve equations involving algebraic fractions. Key learning points: - Before performing any operation, equivalent fractions should be considered. - Algebraic fractions follow the same rules as...
Curated Video
Calculating theoretical probabilities from Venn diagrams (one event)
Pupil outcome: I can find theoretical probabilities from a Venn diagram showing the possible outcomes for one event. Key learning points: - The probability of an outcome can be found by considering a Venn diagram showing all possible...
Curated Video
Problem solving with advanced algebraic fractions
Pupil outcome: I can use my knowledge of advanced algebraic fractions to solve problems. Key learning points: - Real world formula can be complex and contain multiple variables. - When rearranging, you can sometimes check equivalence...
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Solving quadratic equations by using the formula
Pupil outcome: I can solve quadratic equations algebraically by using the formula. Key learning points: - The quadratic formula can be derived from the general form of a quadratic equation. - It can be derived by completing the square. -...
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Checking and securing rules for generating arithmetic sequences
Pupil outcome: I can identify the term-to-term rule and the position-to-term rule and express the latter algebraically. Key learning points: - The term-to-term rule is the common difference. - Finding the common difference can help when...
Curated Video
Add and Subtract Rational Expressions
In this video, we add and subtract rational expressions by finding the common denominator.
Curated Video
Rational Inequalities
In this video, we solve rational inequalities by finding critical values and using test points.