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Use knowledge of fractions in their simplest form when solving addition and subtraction problems
Pupil outcome: I can use knowledge of fractions in their simplest form when solving addition and subtraction problems. Key learning points: - You divide the numerator and denominator by the same factor to create the equivalent fraction....
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Reason about how to write a fraction in its simplest form
Pupil outcome: I can reason about how to write a fraction in its simplest form. Key learning points: - A common factor is a number which is a factor of both the numerator and denominator. - A fraction is in its simplest form when there...
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Simplifying surds
Pupil outcome: I can simplify surds. Key learning points: - The radicand should be as small as possible. - If any of the radicand's factors are square numbers then the surd can be simplified. - Algebraic factors that are square values...
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Checking and securing understanding of simplifying
Pupil outcome: I can simplify expressions by collecting like terms. Key learning points: - Like terms and their coefficients can be identified. - Like terms can be represented using a bar model. - Like terms can be collected together,...
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Multiplying and simplifying with multiple expressions
Pupil outcome: I can use the distributive law to multiply multiple expressions by their respective terms and then simplify by collecting like terms Key learning points: - An expression can be multiplied by any term. - We may have more...
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Use the relationship between the numerator and denominator to simplify fractions
Pupil outcome: I can use the relationship between the numerator and denominator to simplify fractions. Key learning points: - If the multiplicative relationship between the numerator and denominator is the same, the fractions will be...
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Use understanding of equivalent fractions to solve problems
Pupil outcome: I can use understanding of equivalent fractions to solve problems. Key learning points: - If the multiplicative relationship between the numerator and denominator is the same, the fractions will be equivalent. - In...
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Simplifying algebraic fractions
Pupil outcome: I can simplify expressions involving algebraic fractions. Key learning points: - An algebraic fraction can have more than one term in the denominator. - Your equivalent fraction knowledge can be used to simplify the fraction.
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Simplifying by collecting like terms
Pupil outcome: I can simplify expressions by collecting like terms. Key learning points: - Like terms and their coefficients can be identified. - Like terms can be represented using a bar model. - Like terms can be collected together,...
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Using Exponent Properties
In this video, we use the product rule and the power rule to simplify expressions.
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Function Operations (Tables, Graphs, and Equations)
In this video, we learn how to add, subtract, multiply, and divide function values from multiple representations.
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Simplify Rational Expressions by Factoring
Find all six trig ratios given a point on the terminal side of theta. In this video we work this common type of problem. We use the Pythagorean Theorem to find "r" (hypotenuse), and then use the given "x" (adjacent) and "y" (opposite) to...
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Complex Fractions
In this video, we see how to simplify "complex fractions," which means a fraction within a fraction.
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Quadratic Formula (Advanced)
In this video, we learn how to solve quadratic equations with the quadratic formula. We examine one example where we have to simplify the radical, and a second example with a nonreal solution.
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Verifying Identities (Basic Trig Identities)
In this video we will VERIFY identities (see if the identity is true) using the basic trig identities - reciprocal, quotient, and Pythagorean.
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Explicit Rule for Arithmetic Sequences - 1
How do you write the equation for an arithmetic sequence? This video answers this question. An arithmetic sequence is a sequence that adds or subtracts to find the next term (just like a linear function). We start by deriving the...
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Simplifying Radical Expressions VIDEO 1
How to simplify when you add, subtract, or multiply radical expressions
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SImplifying Radicals with Division (VIDEO 2)
This video discusses how to simplify radical expressions involving fractions and/or division
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Distributive Prop and Combining Like Terms
In this video, we simplify expressions by using the distributive property and combining like terms.
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Better at Surds!
Welcome to our comprehensive series of Advanced High School Mathematics Tutorials! This series is perfect for students, teachers, and anyone looking to deepen their understandi
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Zoom Class: E Maths O-Level 2019 Paper 1 - Question 6
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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Learn Indices the Fun Way!
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...