B.C. Foundations Math Level 6

 NUMBER

 It is expected that students will:

 A1 demonstrate an understanding of perfect square and square root concretely, pictorially, and symbolically

 A2 determine the square root of positive whole and rational numbers that are perfect squares

 A3 determine, using technology, the approximate square root of positive rational numbers that are

 non-perfect squares

 A4 demonstrate an understanding of powers with whole number bases (excluding base 0), whole number

 exponents, and powers with base 10 and integral exponents

 A5 use patterns to show that a power with an exponent of zero is equal to one

 A6 solve problems involving powers

 A7 compare and order rational numbers and justify the reasoning

 A8 solve problems that involve arithmetic operations on rational numbers, with or without technology,

 and determine the reasonableness of the solution

 A9 explain and apply the order of operations, including exponents, with or without technology

 PATTERNS AND RELATIONS 

 Patterns 

<p class="MsoNormal" style="mso-layout-grid-align:none;text-autospace:none"> It is expected that students will: 

<p class="MsoNormal" style="mso-layout-grid-align:none;text-autospace:none"> B1 determine if the relationship between two variables is linear and justify the reasoning

<p class="MsoNormal" style="mso-layout-grid-align:none;text-autospace:none"> B2 generate a pattern from a problem using linear equations and verify by substitution

<p class="MsoNormal" style="mso-layout-grid-align:none;text-autospace:none"> B3 graph linear relations, analyse the graph, and interpolate or extrapolate from the graph to solve problems

<p class="MsoNormal" style="mso-layout-grid-align:none;text-autospace:none"> Variables and Equations 

<p class="MsoNormal" style="mso-layout-grid-align:none;text-autospace:none"> It is expected that students will: 

<p class="MsoNormal" style="mso-layout-grid-align:none;text-autospace:none"> B4 model and solve problems using linear equations of the form

<p class="MsoNormal" style="mso-layout-grid-align:none;text-autospace:none"> –  a  χ =  b 

<p class="MsoNormal" style="mso-layout-grid-align:none;text-autospace:none"> – χ /  a  =  b ,  a  ≠0

<p class="MsoNormal" style="mso-layout-grid-align:none;text-autospace:none"> –  a  χ +  b  =  c 

<p class="MsoNormal" style="mso-layout-grid-align:none;text-autospace:none"> – χ /  a  +  b  =  d ,  a  ≠ 0

<p class="MsoNormal" style="mso-layout-grid-align:none;text-autospace:none"> –  a  ( χ +  b  ) =  c 

<p class="MsoNormal" style="mso-layout-grid-align:none;text-autospace:none"> – concretely, pictorially, and symbolically where a, b, and c are integers

<p class="MsoNormal" style="mso-layout-grid-align:none;text-autospace:none"> B5 demonstrate an understanding of polynomials (of degree less than or equal to 2) by

<p class="MsoNormal" style="mso-layout-grid-align:none;text-autospace:none"> – identifying the variables, degree, number of terms and coefficients, including the constant term

<p class="MsoNormal" style="mso-layout-grid-align:none;text-autospace:none"> of a given simplified polynomial expression

<p class="MsoNormal" style="mso-layout-grid-align:none;text-autospace:none"> – describing a situation for a given first-degree polynomial expression

<p class="MsoNormal" style="mso-layout-grid-align:none;text-autospace:none"> – matching equivalent polynomial expressions given in simplified form (e.g., 4 χ - 3 χ 2 + 2 is

<p class="MsoNormal" style="mso-layout-grid-align:none;text-autospace:none"> equivalent to -3 χ 2 + 4 χ + 2)

<p class="MsoNormal" style="mso-layout-grid-align:none;text-autospace:none"> B6 model, record, and explain the addition and subtraction of polynomial expressions concretely,

<p class="MsoNormal" style="mso-layout-grid-align:none;text-autospace:none"> pictorially, and symbolically (of degree less than or equal to 2)

<p class="MsoNormal" style="mso-layout-grid-align:none;text-autospace:none"> B7 add and subtract polynomial expressions (of degree less than or equal to 2)

<p class="MsoNormal" style="mso-layout-grid-align:none;text-autospace:none"> B8 multiply and divide polynomial expressions by monomials (of degree less than or equal to 2)

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<p class="MsoNormal" style="mso-layout-grid-align:none;text-autospace:none"> SHAPE AND SPACE

<p class="MsoNormal" style="mso-layout-grid-align:none;text-autospace:none"> Measurement 

<p class="MsoNormal" style="mso-layout-grid-align:none;text-autospace:none"> It is expected that students will:

<p class="MsoNormal" style="mso-layout-grid-align:none;text-autospace:none"> C1 develop and apply the Pythagorean theorem to solve problems

<p class="MsoNormal" style="mso-layout-grid-align:none;text-autospace:none"> 3-D Objects and 2-D Shapes 

<p class="MsoNormal" style="mso-layout-grid-align:none;text-autospace:none"> It is expected that students will: 

<p class="MsoNormal" style="mso-layout-grid-align:none;text-autospace:none"> C2 draw and construct nets for 3-D objects

<p class="MsoNormal" style="mso-layout-grid-align:none;text-autospace:none"> C3 draw and interpret top, front, and side views of 3-D objects composed of right rectangular prisms

<p class="MsoNormal" style="mso-layout-grid-align:none;text-autospace:none"> C4 explain and describe polygons and polyhedra in terms of their edges, faces, and vertices

<p class="MsoNormal" style="mso-layout-grid-align:none;text-autospace:none"> C5 determine the surface area of

<p class="MsoNormal" style="mso-layout-grid-align:none;text-autospace:none"> – right rectangular prisms

<p class="MsoNormal" style="mso-layout-grid-align:none;text-autospace:none"> – right triangular prisms

<p class="MsoNormal" style="mso-layout-grid-align:none;text-autospace:none"> – right cylinders

<p class="MsoNormal" style="mso-layout-grid-align:none;text-autospace:none"> – composite 3-D objects

<p class="MsoNormal" style="mso-layout-grid-align:none;text-autospace:none"> to solve problems

<p class="MsoNormal" style="mso-layout-grid-align:none;text-autospace:none"> Transformations 

<p class="MsoNormal" style="mso-layout-grid-align:none;text-autospace:none"> It is expected that students will: 

<p class="MsoNormal" style="mso-layout-grid-align:none;text-autospace:none"> C6 draw and interpret scale diagrams of 2-D shapes

<p class="MsoNormal" style="mso-layout-grid-align:none;text-autospace:none"> C7 demonstrate an understanding of line and rotation symmetry by

<p class="MsoNormal" style="mso-layout-grid-align:none;text-autospace:none"> – classifying 2-D shapes based on the number of lines of symmetry

<p class="MsoNormal" style="mso-layout-grid-align:none;text-autospace:none"> – determining if a given 2-D shape has rotation symmetry

<p class="MsoNormal" style="mso-layout-grid-align:none;text-autospace:none"> – drawing a 2-D shape that has rotation symmetry

<p class="MsoNormal" style="mso-layout-grid-align:none;text-autospace:none"> – identifying a piece of artwork that has line and/or rotation symmetry

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<p class="MsoNormal" style=""><span style="font-size:12.0pt;font-family:"Times New Roman"; mso-fareast-font-family:SimSun;mso-ansi-language:EN-US;mso-fareast-language: ZH-CN;mso-bidi-language:AR-SA">sources:http://www.bced.gov.bc.ca/irp/pdfs/literacy_foundations/2010literacyfoundations_math.pdf