Unit 2: Quadratics equations and functions Grade 10 Standard Unit GuideResearch Practice: decide whether you want to start with level 1 – 4 or 5 – 6.

Ch. Sec

Concepts and skills to be covered

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Video Initial Practice Level 1-4 Level 5-6 Level 7-8 Khan

9A

Quadratic expressions and equations: what makes something quadratic?

http://www.mathsisfun.com/algebra/quadratic-equation.html

1(a, b), 2(a, b) 1,2 Solving quadratics by taking the square root

2F

Different forms…factorization: how do I factor a quadratic expression?

http://www.purplemath.com/modules/factquad.htm

http://youtu.be/0tjo5aSgXSo

http://youtu.be/yfiMho1_t4k

1(a, d, e), 2(e), 4(e) 2, 3 and 4 5 and 6 7 and 8 Factoring Quadratics 1

2Ghttp://youtu.be/ZQ-NRsWhOGI

http://youtu.be/70dA34KAFWw

1(a, f), 2(b, g)

1 2 and 3

Factoring quadratics 2. Factoring quadratics with 2 variables

2H 1, 2 and 3 4, 5 and 6

9CDifferent forms…perfect squares: how do I complete the square?

http://www.mathsisfun.com/algebra/completing-square.html

1(a, c) 1 Completing the square in quadratic expressions

9B.2

Solving quadratic equations 1: what is the “null factor” law and how does it help me solve a quadratic equation?

http://www.mathsteacher.com.au/year10/ch12_quadratic_equations/01_solving/quad.htm#NFL

http://youtu.be/IKyUuvulIbk 1(a, e) and 2(e, f) 1, 2, 3 4, 5, 6 7, 8

Solving quadratics by factoringSolving quadratics by factoring 2

Solving quadratic equations 2; how can technology help me solve

http://youtu.be/

a quadratic equation?

6fHKfcR51X8

http://youtu.be/1bbcLeYht5s

9C Solving quadratic equations 3: how does completing the square lead to the quadratic formula?

Note: solving equations by completing the square is Extension work

http://www.bbc.co.uk/schools/gcsebitesize/maths/algebra/quadequationshirev2.shtml

http://youtu.be/bclm1tJB-3g

http://youtu.be/nzHp2o8bMnI

2(d, g) 2, 3 4 Understanding the process for solving quadratic equations

Solving quadratics by completing the square 1

Solving quadratics by completing the square 2

Using the quadratic formula9E.1

http://youtu.be/y6NoigLKBqQ

http://youtu.be/kuimoHMleug

1(a, e) 1 (a – j) 1(k, l) and 2(a, b)

2(c, d, e, f), 3, 4 and 5

9E.2The Discriminant: how many solutions can a quadratic equation have?

http://www.virtualnerd.com/tutorials/?id=Alg1_12_02_0008

http://youtu.be/tGH0xcT8q90

1(a), 2(e, h) 1 and 2

9E.3 1(a, e) 1, 2 and 3 4

9DApplications: what sorts of problems can I use quadratic equations for?

http://www.mathsisfun.com/algebra/quadratic-equation-real-world.html

http://youtu.be/tkFv6ERpxHc

1 and 6 2, 3, 4, 5, 7 8, 9, 10, 11, 15, 16

12 – 14, 17 - 20, 23, 24 and 25

17A Quadratic functions: How to find a variable given the value of another one?

https://www.youtube.com/watch?v=ZENu1OgFgSY

1(f), 2(a), 4(a), 3(a)

2, 3, 4 5, 6, 7 Graphing parabolas in standard form

17B.1

17B.2

Graphs of quadratic functions: How to graph quadratic functions. (Investigation has been completed)

http://www.purplemath.com/modules/grphquad.htm

https://www.youtube.com/watch?v=DePssuUI3Tw

1(a), 2(a)

3(a), 5(a)

1, 2

1(b, d, f),3(b, d, f),5(b, d, f)

1, 2

1(b, d, f),3(b, d, f),5(b, d, f)

17B.317B.4

Graphs of quadratic functions: Completing the square. How to graph when the leading coefficient is non-zero?

http://math.wonderhowto.com/how-to/complete-square-graph-quadratic-function-318082/

1(a, b), 2(a, b)

Graphing parabolas in vertex form

Parabola intuition 1

Graphing parabolas in all forms

17C.1

17C.2

Axes intercepts: How to finding the x- and y- intercepts? Factorizing to find the x-intercepts.

http://www.purplemath.com/modules/intrcept.htm

https://www.youtube.com/watch?v=wPs0tjl8Vpg

1(b), 2(b), 3(b)

2(b)

1, 2

1

2, 3

2

17D

Axis of symmetry: How to find the axis of symmetry, and thus find the turning point?

http://www.virtualnerd.com/algebra-1/quadratic-equations-functions/graphing/graph-basics/axis-symmetry-example

1(a), 2(a)1(b, e, h), 2(b. e. h),3(b, e, h)

4,5(a, c, e, …) 6, 7

Vertex of a parabola

Key features of quadratic functions

17E Quadratic optimization: Solving problems using

http://www.virtu

1(a, b, c) 1, 2, 3 4, 5, 6 7, 8 Finding and interpreting key features of quadratics

quadratics.

alnerd.com/algebra-1/quadratic-equations-functions/discriminant-quadratic-formula/quadratic-formula/problem-quadratic-formula-box-dimensions

Statement of Inquiry: Modeling using a logical process helps us to understand the world

Factual Question:What situations can be modeled using quadratic equations and functions? What is a mathematical model?

Conceptual Question:What do solutions mean? What happens when I change various parts of the model?

Debatable QuestionsIs a mathematical model a true representation of reality?

SkillsYou should be able to do by the end of the unit:

Prerequisite SkillsYou should be able to do before the start of the unit:

Solve quadratic equations by factoring Expand algebraic expressions

Solve quadratic equations by completing the square Factorize algebraic expressions

Solve quadratic equations using the quadratic formula Substitute values into variables in an equation

Solve quadratic equations using technology (GDC) Solve for a given variable in an equation

Solve a variety of problems that can be modeled by quadratic equations

Plot points on a Cartesian graph

Graph quadratic equations using various pieces of information

Find the axes intercepts

Find the axis of symmetry and the vertex of the parabola

Assessment Type Criteria Date NotesVocabulary Quiz formative To Be DeterminedPractice Quiz formative TBDUnit Test A TBD There will be one mid unit and one of end unit test.Investigation B, C TBD There may be two such investigations.Applied Mathematics Assessment C, D TBDOtherStudy Sequence:1.Make a Concept Map2.Do practice tests.3.Do Review sections from book.4.Go back and do more problems.

Suggestions to make studying more manageable:1. Work in a well-lit, quiet and comfortable environment. Turn off all distractions.2. Have all resources ready and use them when studying. Do many problems in a row, check your work, then check solutions with key. Timing

yourself is also helpful.3. Don’t wait until the last night.4. Realistically assess your skills and if needed SEEK HELP!