What is a change of basis, and how do you do it?

What is a change of basis, and how do you do it?

How do you think about the column space and null space of a matrix visually? How do you think about the inverse of a matrix?

What is a change of basis, and how do you do it?

In this short video we will Solve for x to determine the correct solution. We will first distribute to clear parentheses. Since the equation has variables on both sides, we will collect variable terms to one side using inverse...

In this shorts video we will be solving for x using inverse operations. We will solve a multistep algebraic equation. We will review and understand that addition and subtraction are inverse operations. We will also review and...

In this shorts video we will learn about inequalities & when to reverse the symbol. We will review properties of inequality used to solve linear inequalities. We will review the rule for multiplying or dividing both sides of an...

In this shorts math video we will review solving absolute value equations while answering a standardized math test question. We will review the steps to solving an absolute value equation. The first step will be to rewrite the absolute...

In this shorts math video we will learn how to solve a quadratic equation two ways to answer a standardized math test question. We will be presented with an equation and four answer choices. We will understand that x squared is...

In this short math video we will determine the minimum solution of an inequality. We will be presented with a real world situation and an inequality that models the real world situation. The solution of an inequality is a set of values...

A video entitled "Rearrange Radicals and Rationals" that shows how to use inverse operations to isolate various variables in equations.

Pupil outcome: I can explain how adjusting the minuend can make mental calculation easier. Key learning points: - If you increase the minuend the difference increases by the same amount. - If you decrease the minuend the difference...

Pupil outcome: I can recognise addition and subtraction as the inverse of each other. Key learning points: - Addition is the inverse of subtraction. Addition can 'undo' subtraction. - Subtraction is the inverse of addition. Subtraction...

Pupil outcome: I can interpret and represent the inverse relationship between addition and subtraction. Key learning points: - Addition is the inverse of subtraction. Addition can 'undo' subtraction. - Subtraction is the inverse of...

Pupil outcome: I can halve numbers and explain what halving means. Key learning points: - Halving is the inverse of doubling. - Halving can be used to subtract a number from its double.

Pupil outcome: I can use a range of strategies to solve multiplication and division problems. Key learning points: - Look at the numbers in the problem to decide which strategy is most effective and explain why. - Use partitioning...

Pupil outcome: I can adjust a number to make an addition easier. Key learning points: - If you adjust an addend you adjust the sum by the inverse. - If you add 1 to an addend you must subtract 1 from the sum. - If you subtract 1 from an...

Pupil outcome: I can use unitising and multiplying and dividing by 10 to scale division facts. Key learning points: - Division is the inverse of multiplication - If you know that 3 groups of 4 are equal to 12 then there are 3 groups of 4...

Pupil outcome: I can understand that dividing a number by 10 makes it ten times smaller or one tenth the size Key learning points: - 1 is ten times smaller than 10 or one tenth the size. - Dividing by ten makes the number ten times...

Pupil outcome: I can use place value to explain removing the final 2 zeros from a multiple of 100 when we divide by 100 Key learning points: - Dividing by one hundred moves all the digits two columns to the right making them one...

Pupil outcome: I can add 2 and 3-digit numbers by redistributing. Key learning points: - If we subtract 1 from one addend, we must add one to the other added for the sum to remain the same - When we redistribute, the total amount stays...

Pupil outcome: I can explain that addition and subtraction of fractions are inverse operations. Key learning points: - You know that if 3 + 4 = 7 then 7 - 4 = 3 - Facts about whole numbers can be applied to the numerators of fractions...

Pupil outcome: I can solve multiplication and division problems in a range of contexts. Key learning points: - Look at the numbers in the problem to decide which strategy is most effective and explain why. - Use partitioning strategies...

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...