Grade 8:

Week of February 23:

Grade 8s will be putting the finishing touches on our multiplying and dividing of mixed numbers.  That means we will have a cumulative quiz during the week.

Our next area of study will the relationship between fractions, decimals and percentages.  This will serve as the foundation for problem solving over the next few weeks, especially with fractions and percentages.

Week of February 17:

Grade 8s are going back to the beginning of the year...spending time with fractions.  It is no secret that the more we review concepts, the better we know them.  So this is a chance to gain a better grasp on fractions.  But this time, we are introducing mixed numbers.  Our time will be spent multiplying and dividing.

For additional support with these concepts, watch these:

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

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

https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-arithmetic-operations/cc-6th-dividing-fractions/e/divide-mixed-numbers

https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-arithmetic-operations/cc-6th-dividing-fractions/v/writing-fraction-division-story-problems

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

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

Now, try these:

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

https://www.khanacademy.org/math/cc-fifth-grade-math/5th-multiply-fractions/imp-multiplying-mixed-numbers/e/multiplying_mixed_numbers_1

https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-arithmetic-operations/cc-6th-dividing-fractions/e/divide-mixed-numbers

https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-arithmetic-operations/cc-6th-dividing-fractions/e/interpret-fraction-division

https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-arithmetic-operations/cc-6th-dividing-fractions/e/dividing-fractions-by-fractions-word-problems

Week of January 26:

This week, the grade 8s are applying the Pythagorean Theorem to problem based situations.  This concept is very useful in the world of construction, interior design, roofing, etc.  

For additional support with Pythagorean Theorem problems, watch these:

https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-geometry/pythagorean-theorem-application/v/pythagorean-theorem-3

https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-geometry/pythagorean-theorem-application/v/pythagorean-theorem-1

https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-geometry/pythagorean-theorem-application/v/pythagoriean-theorem-in-3d

Now, try this: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-geometry/pythagorean-theorem-application/e/pythagorean-theorem-word-problems--basic

https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-geometry/pythagorean-theorem-application/e/pythagorean-theorem-in-3d

Week of January 19:

Now that the grade 8s have wrapped up their work with square roots, they will begin to apply a square root to a more practical concept: the Pythagorean Theorem.  We will finding the length of a missing side of a right triangle.  

For greater assistance with this topic, watch these:

https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-geometry/cc-8th-pythagorean-theorem/v/the-pythagorean-theorem

https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-geometry/cc-8th-pythagorean-theorem/v/pythagorean-theorem-2

https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-geometry/cc-8th-pythagorean-theorem/v/pythagorean-theorem-with-right-triangle

Now try these:

https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-geometry/cc-8th-pythagorean-theorem/e/pythagorean_theorem_1

https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-geometry/cc-8th-pythagorean-theorem/e/use-pythagorean-theorem-to-find-side-lengths-on-isosceles-triangles

https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-geometry/cc-8th-pythagorean-theorem/e/right-triangle-side-lengths

https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-geometry/cc-8th-pythagorean-theorem/e/use-area-of-squares-to-visualize-pythagorean-theorem

Week of January 12:

Grade 8s are spending the week calculating square roots of non-perfect squares.  They can expect their final test on square roots on Thursday.

For additional support with this topic, watch these:

https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-approximating-irrational-numbers/v/approximating-square-roots-2

https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-approximating-irrational-numbers/e/square_roots_2

https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-approximating-irrational-numbers/v/approximating-square-roots

https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-approximating-irrational-numbers/v/comparing-values-with-calculator

Week of January 5:

Grade 8s have returned from their winter break to work with perfect squares and square roots.  This is very much a new topic for them.  Having a good knowledge of their multiplication would be useful.  Square roots are crucial for being able to use the Pythagorean Theorem.  This is the concept that we will be moving in to once we are done our work with squares and square roots.

For greater assistance with squares and square roots, watch these:

https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-roots/v/introduction-to-square-roots

https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-roots/a/square-roots-of-perfect-squares-art

https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:rational-exponents-radicals/x2f8bb11595b61c86:radicals/v/introduction-to-square-roots

https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:rational-exponents-radicals/x2f8bb11595b61c86:radicals/v/understanding-square-roots

For extra online practice with squares and square roots, try these:

https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-roots/e/square_roots

https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:rational-exponents-radicals/x2f8bb11595b61c86:radicals/e/square_roots


Week of December 8th:

Grade 8s have begun to move into solving two step equations.  Last year, they were exposed to solving single-step equations.  It is very important that they show their thinking steps as the equations will become much more difficult next year so it is easy to get lost in the work; get in the habit now.

For additional support with equation solving, watch these:

https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-variables-expressions/cc-7th-2-step-equations-intro/v/why-we-do-the-same-thing-to-both-sides-simple-equations

https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-variables-expressions/cc-7th-2-step-equations-intro/v/why-we-do-the-same-thing-to-both-sides-two-step-equations

https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-variables-expressions/cc-7th-2-step-equations-intro/v/equations-2

https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-variables-expressions/cc-7th-2-step-equations-intro/v/solving-equations-1

Now, try these:

https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-variables-expressions/cc-7th-2-step-equations-intro/e/linear_equations_2

Week of November 18: Grade 8s are finishing up their work with multiplication of fractions, if they haven't already.  The last of our classes will be completing an addition, subtraction and multiplication of fractions quiz.  
The next step will be moving into division of fractions.  Students will see this first using models pictorially followed by more traditional methods, like using the reciprocal.


Week of November 3:

Grade 8s have begun to multiply fractions this week.  We started by introducing this concept using the area model.  Students then start to see that they can multiply symbolically without the use of a picture.

For additional support with this concept, watch this:

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

Now, 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


Week of September 15:

Much of our week will be spent completing the Number and Algebra Assessment.  This is used to gauge where students are at with their abilities, whether they are below grade level or at grade level.

Grade 8s will also be starting with integer division.


Week of Sept 8:

After reviewing some addition and subtraction of integers, we will be getting into the grade 8 program by working integer multiplication.  Expect a quiz by the end of the week.

For additional support with these concepts, watch these:

https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-add-and-subtract/cc-7th-add-negatives/v/zero-pairs-worked-example

https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-add-and-subtract/cc-7th-add-negatives/v/adding-with-integer-chips

https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-add-and-subtract/cc-7th-add-negatives/v/adding-negative-numbers-on-number-line-examples

https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-add-and-subtract/cc-7th-sub-neg-intro/v/subtracting-with-integer-chips

https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-add-and-subtract/cc-7th-sub-neg-intro/v/integer-equations-to-describe-diagram

https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-add-and-subtract/cc-7th-sub-neg-intro/v/graphing-negative-number-addition-and-subtraction-expressions

https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-add-and-subtract/x6b17ba59:subtracting-negative-numbers-fluently/v/adding-the-opposite-with-integer-chips

https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-add-and-subtract/x6b17ba59:subtracting-negative-numbers-fluently/v/adding-the-opposite-with-number-lines

https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-add-and-subtract/x6b17ba59:subtracting-negative-numbers-fluently/v/why-subtracting-a-negative-equivalent-to-adding-a-positive

https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-add-and-subtract/cc-7th-add-and-sub-integers/v/adding-integers-find-the-missing-value

https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-add-and-subtract/cc-7th-add-and-sub-integers/v/subtracting-integers-find-the-missing-value

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

Now, try these:

https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-add-and-subtract/cc-7th-add-negatives/e/zero-pairs

https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-add-and-subtract/cc-7th-add-negatives/e/add-with-integer-chips

https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-add-and-subtract/cc-7th-add-negatives/e/adding-negative-numbers-on-the-number-line

https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-add-and-subtract/cc-7th-sub-neg-intro/e/subtract-with-integer-chipshttps://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-add-and-subtract/cc-7th-sub-neg-intro/e/negative-number-addition-and-subtraction--equations-and-number-lines

https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-add-and-subtract/x6b17ba59:subtracting-negative-numbers-fluently/e/understand-subtraction-as-adding-the-opposite

https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-add-and-subtract/x6b17ba59:subtracting-negative-numbers-fluently/e/adding_and_subtracting_negative_numbers

https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-add-and-subtract/cc-7th-add-and-sub-integers/e/integer-addition-and-subtraction-2

https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-add-and-subtract/cc-7th-add-and-sub-integers/e/integer-addition-and-subtraction

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

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