Week of November 20
Grade 9s have begun to simplify polynomials. The most important knowledge piece to take from this is that opposites create 0. We will then move in to multiplying and dividing polynomials by a constant.
For extra support with this, watch these:
https://www.khanacademy.org/math/algebra-home/alg-polynomials/alg-introduction-to-polynomials/v/terms-coefficients-and-exponents-in-a-polynomial
https://www.khanacademy.org/math/algebra-home/alg-polynomials/alg-introduction-to-polynomials/v/polynomials-intro
https://www.khanacademy.org/math/algebra-home/alg-polynomials/alg-introduction-to-polynomials/v/simply-a-polynomial
Try this:
https://www.khanacademy.org/math/algebra-home/alg-polynomials/alg-introduction-to-polynomials/e/polynomials-intro
Week of November 6
Grade 9s are going to be starting Polynomials this week. We will begin by looking at what a polynomial is. There will be a lot of new terminology that will be used when discussing these concepts as well (monomial, degree, etc). An good understanding of polynomials will be very beneficial moving forward in to high school.
Students will be introduced to simplifying polynomials before multiplying and dividing by constants. Later in the school year, we will revisit these concepts when we will be adding and subtracting polynomials.
For additional support with this, please watch:
https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratics-multiplying-factoring/x2f8bb11595b61c86:multiply-monomial-polynomial/v/polynomials-intro
Now, try this:
https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratics-multiplying-factoring/x2f8bb11595b61c86:multiply-monomial-polynomial/e/polynomials-intro
Week of October 23/30
Grade 9s have been working on creating expressions from patterns. We have used t-tables to create these pattern rules which are then used to make predictions in the patterns. This will be a short piece as we will be revisiting these concepts later in the year.
For extra support, watch these:
https://www.khanacademy.org/math/cc-fifth-grade-math/imp-algebraic-thinking/imp-number-patterns/v/relationships-between-patterns
https://www.khanacademy.org/math/cc-fifth-grade-math/imp-algebraic-thinking/imp-number-patterns/v/interpreting-relationships-between-patterns
https://www.khanacademy.org/math/cc-fifth-grade-math/imp-algebraic-thinking/imp-number-patterns/v/interpreting-and-graphing-relationships-between-patterns
Try these:
https://www.khanacademy.org/math/cc-fifth-grade-math/imp-algebraic-thinking/imp-number-patterns/e/write-a-2-variable-relationship
https://www.khanacademy.org/math/cc-fifth-grade-math/imp-algebraic-thinking/imp-number-patterns/e/create-a-table-or-coordinates-from-a-given-rule
https://www.khanacademy.org/math/cc-fifth-grade-math/imp-algebraic-thinking/imp-number-patterns/e/graph-a-2-variable-relationship
https://www.khanacademy.org/math/cc-fifth-grade-math/imp-algebraic-thinking/imp-number-patterns/e/extend-patterns
https://www.khanacademy.org/math/cc-fifth-grade-math/imp-algebraic-thinking/imp-number-patterns/e/visualizing-and-interpreting-relationships-between-patterns
Week of October 17
Grade 9s have finished their work with square roots. We will move into some patterning. Students will be creating a pattern arising from a problem-solving context, using a linear equation. This will be similar to what they have done in grade 8.
For more support, watch this:
https://www.khanacademy.org/test-prep/praxis-math/praxis-math-lessons/praxis-math-algebra/v/gtp--praxis-math--video--creating-expressions-and-equations
https://www.khanacademy.org/test-prep/praxis-math/praxis-math-lessons/praxis-math-algebra/a/gtp--praxis-math--article--algebraic-word-problems--lesson
https://www.khanacademy.org/test-prep/praxis-math/praxis-math-lessons/praxis-math-algebra/v/gtp--praxis-math--video--algebraic-word-problems
Week of October 2
Grade 9s have recently completed their work, for the time being, with powers and exponent laws. We have now moved in to our study of square roots. Square roots were introduced last year. However, this year, we will be working with square roots of fractions and decimals. This will be a short piece so expect it to be done by the end of next week.
For additional support, watch these:
https://www.khanacademy.org/math/algebra-basics/basic-alg-foundations/alg-basics-roots/v/introduction-to-square-roots
https://www.khanacademy.org/math/algebra-basics/basic-alg-foundations/alg-basics-roots/v/rewriting-square-root-of-fraction
https://www.khanacademy.org/math/algebra-basics/basic-alg-foundations/alg-basics-roots/v/simplifying-square-root-expressions-no-variables
https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:rational-exponents-radicals/x2f8bb11595b61c86:radicals/v/finding-square-root-of-decimal
Try these:
https://www.khanacademy.org/math/algebra-basics/basic-alg-foundations/alg-basics-roots/e/square_roots
https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:rational-exponents-radicals/x2f8bb11595b61c86:radicals/e/roots-of-decimals-and-fractions
Week of September 25
Grade 9s are currently working with the exponent laws. A good foundation of the exponent laws is required for success moving in to high school. We will have a final assessment with the conclusion of the exponent laws.
For extra support, watch these:
https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-exponent-properties/v/exponent-properties-involving-products
https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-exponent-properties/v/products-and-exponents-raised-to-an-exponent-properties
https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-exponent-properties/v/exponent-properties-involving-quotients
https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-exponent-properties/a/exponent-properties-review
Try these:
https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-exponent-properties/e/multiply-powers
https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-exponent-properties/e/powers-of-powers
https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-exponent-properties/e/divide-powers
https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-exponent-properties/e/powers-of-products-and-quotients
Week on September 18
Welcome back to DMC Grade 9s. 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 9s will be starting their year with exponents. This is fairly brand new for grade 9s as they have not had any previous work with exponents.
If you are having some difficulties with these concepts, watch these:
What is a Power:
https://www.khanacademy.org/math/cc-sixth-grade-math/x0267d782:cc-6th-exponents-and-order-of-operations/cc-6th-exponents/v/introduction-to-exponents
https://www.khanacademy.org/math/cc-sixth-grade-math/x0267d782:cc-6th-exponents-and-order-of-operations/cc-6th-exponents/a/squaring-numbers
https://www.khanacademy.org/math/cc-sixth-grade-math/x0267d782:cc-6th-exponents-and-order-of-operations/cc-6th-exponents/a/introduction-to-exponents
https://www.khanacademy.org/math/cc-sixth-grade-math/x0267d782:cc-6th-exponents-and-order-of-operations/cc-6th-exponents/a/exponents-review
0 Exponent:
https://www.khanacademy.org/math/cc-sixth-grade-math/x0267d782:cc-6th-exponents-and-order-of-operations/x0267d782:powers-of-whole-numbers/v/the-zeroth-power
Decimals and Fractions with Exponents:
https://www.khanacademy.org/math/cc-sixth-grade-math/x0267d782:cc-6th-exponents-and-order-of-operations/x0267d782:powers-of-fractions-and-decimals/v/exponents-of-decimals
https://www.khanacademy.org/math/cc-sixth-grade-math/x0267d782:cc-6th-exponents-and-order-of-operations/x0267d782:powers-of-fractions-and-decimals/v/powers-of-fractions
Now, try these:
What is a Power:
https://www.khanacademy.org/math/cc-sixth-grade-math/x0267d782:cc-6th-exponents-and-order-of-operations/cc-6th-exponents/e/positive_and_zero_exponents
Evaluating Powers:
https://www.khanacademy.org/math/cc-sixth-grade-math/x0267d782:cc-6th-exponents-and-order-of-operations/x0267d782:powers-of-whole-numbers/e/exponents
Decimals and Fractions with Exponents:
https://www.khanacademy.org/math/cc-sixth-grade-math/x0267d782:cc-6th-exponents-and-order-of-operations/x0267d782:powers-of-fractions-and-decimals/e/powers-of-fractions