Math

Week of November 27

Grade 8s are currently working on solving equations? We have started by modelling an equation with a two-pan balance and then moving in to solving using algebra tiles. This way, students have developed the foundational knowledge to solve an algebraic equation symbolically, without the use of a model.

For additional support with this, watch these:

https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-equations-and-inequalities/cc-6th-solving-equations/v/why-we-do-the-same-thing-to-both-sides-simple-equations

https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-equations-and-inequalities/cc-6th-solving-equations/v/representing-a-relationship-with-a-simple-equation

https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-equations-and-inequalities/cc-6th-solving-equations/v/intuition-why-we-divide-both-sides

https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-equations-and-inequalities/cc-6th-solving-equations/v/one-step-equation-intuition

Now, try these:

https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-equations-and-inequalities/cc-6th-solving-equations/e/identify-and-solve-equations-from-visual-models

https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-equations-and-inequalities/cc-6th-solving-equations/e/identify-equations-from-visual-models

https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-equations-and-inequalities/cc-6th-solving-equations/e/visualize-equations

Week of November 20

Grade 8s are currently working with balancing equations. We will be using pictorial representations to represent both sides of an equation. This solidifies the steps required to solve algebraic equations.

For greater support with this, watch these:

https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-equations-and-inequalities/cc-6th-solving-equations/v/why-we-do-the-same-thing-to-both-sides-simple-equations

https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-equations-and-inequalities/cc-6th-solving-equations/v/representing-a-relationship-with-a-simple-equation

https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-equations-and-inequalities/cc-6th-solving-equations/v/intuition-why-we-divide-both-sides

https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-equations-and-inequalities/cc-6th-solving-equations/v/one-step-equation-intuition

Try these:

https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-equations-and-inequalities/cc-6th-solving-equations/e/identify-and-solve-equations-from-visual-models

https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-equations-and-inequalities/cc-6th-solving-equations/e/identify-equations-from-visual-models

https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-equations-and-inequalities/cc-6th-solving-equations/e/visualize-equations

Week of November 6

Grade 8s will be finishing their fraction division this week.

For additional support, watch these:

https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-arithmetic-operations/cc-6th-dividing-fractions/v/conceptual-understanding-of-dividing-fractions-by-fractions

https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-arithmetic-operations/cc-6th-dividing-fractions/v/another-dividing-fractions-example

https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-arithmetic-operations/cc-6th-dividing-fractions/v/dividing-fractions-example

https://www.khanacademy.org/math/cc-fifth-grade-math/divide-fractions/imp-dividing-unit-fractions-by-whole-numbers/v/example-diving-a-unit-fraction-by-a-whole-number

Now, try these:

https://www.khanacademy.org/math/cc-fifth-grade-math/divide-fractions/imp-dividing-unit-fractions-by-whole-numbers/e/dividing-fractions-by-whole-numbers-introduction

https://www.khanacademy.org/math/cc-fifth-grade-math/divide-fractions/imp-dividing-unit-fractions-by-whole-numbers/e/dividing_fractions_0.5

https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-arithmetic-operations/cc-6th-dividing-fractions/e/dividing_fractions_1.5

Week of October 23/30

Grade 8s have been working through the multiplication and division of fractions. The concept was introduced using a pictorial representation followed by establishing a shortcut. We will be coming back to this later in the year again when we introduce multiplication and division using mixed numbers.

For extra support with multiplication, watch:

https://www.khanacademy.org/math/cc-fifth-grade-math/5th-multiply-fractions/imp-multiplying-fractions/v/visualizing-fraction-products

https://www.khanacademy.org/math/cc-fifth-grade-math/5th-multiply-fractions/imp-multiplying-fractions/v/concept-fraction-mult-number-line

https://www.khanacademy.org/math/cc-fifth-grade-math/5th-multiply-fractions/imp-multiplying-fractions/v/multiplying-fractions

Try these:

https://www.khanacademy.org/math/cc-fifth-grade-math/5th-multiply-fractions/imp-multiplying-fractions/e/represent-fraction-multiplication-with-visuals

https://www.khanacademy.org/math/cc-fifth-grade-math/5th-multiply-fractions/imp-multiplying-fractions/e/understanding-multiplying-fractions-by-fractions

https://www.khanacademy.org/math/cc-fifth-grade-math/5th-multiply-fractions/imp-multiplying-fractions/e/multiplying_fractions_0.5

For extra support with division, watch:

Watch these:

https://www.khanacademy.org/math/cc-fifth-grade-math/divide-fractions/imp-dividing-unit-fractions-by-whole-numbers/v/visually-dividing-unit-fraction-by-a-whole-number

https://www.khanacademy.org/math/cc-fifth-grade-math/divide-fractions/imp-dividing-unit-fractions-by-whole-numbers/v/example-diving-a-unit-fraction-by-a-whole-number

https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-arithmetic-operations/cc-6th-dividing-fractions/v/conceptual-understanding-of-dividing-fractions-by-fractions

https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-arithmetic-operations/cc-6th-dividing-fractions/v/another-dividing-fractions-example

https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-arithmetic-operations/cc-6th-dividing-fractions/v/dividing-fractions-example

Try these:

https://www.khanacademy.org/math/cc-fifth-grade-math/divide-fractions/imp-dividing-unit-fractions-by-whole-numbers/e/dividing-fractions-by-whole-numbers-introduction

https://www.khanacademy.org/math/cc-fifth-grade-math/divide-fractions/imp-dividing-unit-fractions-by-whole-numbers/e/dividing_fractions_0.5

https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-arithmetic-operations/cc-6th-dividing-fractions/e/dividing_fractions_1.5

Week of October 16

Grade 8:

Grade 8s have moved in to their work with fractions. Like our work with integers, we will be focussing on multiplication and division this year. Integer and fraction addition and subtraction are concepts from grade 7, while integer and fraction multiplication and division are concepts for grade 8. We will begin by using area models and pictorial representations to establish a foundation of understanding before moving in to a symbolic approach.

For more support, watch these:

https://www.khanacademy.org/math/cc-fourth-grade-math/4th-multiply-fractions/imp-multiplying-unit-fractions-and-whole-numbers/v/concept-whole-fraction-mult

https://www.khanacademy.org/math/cc-fourth-grade-math/4th-multiply-fractions/imp-multiplying-unit-fractions-and-whole-numbers/v/fraction-multiplcation-on-the-number-line

Try these:

https://www.khanacademy.org/math/cc-fourth-grade-math/4th-multiply-fractions/imp-multiplying-unit-fractions-and-whole-numbers/e/multiplying-fractions-and-whole-numbers-intuition

https://www.khanacademy.org/math/cc-fourth-grade-math/4th-multiply-fractions/imp-multiplying-unit-fractions-and-whole-numbers/e/multiply-fractions-and-whole-numbers-on-the-number-line

Week of October 2

Grade 8s have moved into the order of operations involving integers. BEDMAS should not be anything new to them as they covered it in grades 6 and 7, but this year, we introduce all operations with the use of integers. Once completed early next week, we will have a final assessment.

For additional support, watch these:

https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-multiply-and-divide/cc-7th-order-of-operations/v/introduction-to-order-of-operations

https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-multiply-and-divide/cc-7th-order-of-operations/v/more-complicated-order-of-operations-example

https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-multiply-and-divide/cc-7th-order-of-operations/v/order-of-operations-1

Try this:

https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-multiply-and-divide/cc-7th-order-of-operations/e/order_of_operations

Week of September 25

We have finished the multiplication of integers and are working towards the division of integers. This will be introduced using models, such as tiles or a number line, and moving towards a symbolic approach that does not require pictures.

For extra support, watch this:

https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-multiply-and-divide/cc-7th-mult-div-negatives/v/dividing-positive-and-negative-numbers

Try this:

https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-multiply-and-divide/cc-7th-mult-div-negatives/e/dividing-negative-numbers

Grade 8s will then wrap up their work with integers by solving expressions with the use of order of operations.

Week of September 18

Welcome back to DMC Grade 8s. We are very excited to see each and every one of you in our math classes this year. We look forward to getting to know all of you and working with you this year.

Grade 8s will be starting their year with integers. Last year, students added and subtracted integers. In Grade 8, the focus is on the multiplication and division of integers.

If you are having some difficulties with these concepts, watch these:

Addition and Subtraction:

https://www.khanacademy.org/math/algebra-basics/basic-alg-foundations/alg-basics-negative-numbers/v/adding-integers-with-different-signs

https://www.khanacademy.org/math/algebra-basics/basic-alg-foundations/alg-basics-negative-numbers/v/adding-and-subtracting-negative-number-examples

https://www.khanacademy.org/math/algebra-basics/basic-alg-foundations/alg-basics-negative-numbers/v/why-subtracting-a-negative-equivalent-to-adding-a-positive

Multiplication:

https://www.khanacademy.org/math/algebra-basics/basic-alg-foundations/alg-basics-negative-numbers/v/multiplying-positive-and-negative-numbers

https://www.khanacademy.org/math/algebra-basics/basic-alg-foundations/alg-basics-negative-numbers/v/why-a-negative-times-a-negative-is-a-positive

https://www.khanacademy.org/math/algebra-basics/basic-alg-foundations/alg-basics-negative-numbers/v/why-a-negative-times-a-negative-makes-intuitive-sense

Division:

https://www.khanacademy.org/math/algebra-basics/basic-alg-foundations/alg-basics-negative-numbers/v/dividing-positive-and-negative-numbers

For extra practice, try these: