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:
Addition and Subtraction:
https://www.khanacademy.org/math/algebra-basics/basic-alg-foundations/alg-basics-negative-numbers/e/adding_negative_numbers
https://www.khanacademy.org/math/algebra-basics/basic-alg-foundations/alg-basics-negative-numbers/e/adding_and_subtracting_negative_numbers
Multiplication:
https://www.khanacademy.org/math/algebra-basics/basic-alg-foundations/alg-basics-negative-numbers/e/multiplying_and_dividing_negative_numbers
Division:
https://www.khanacademy.org/math/algebra-basics/basic-alg-foundations/alg-basics-negative-numbers/e/dividing-negative-numbers