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Grade 10 Math Courses - New Brunswick Curriculum

Discover Grade 10 Math in New Brunswick, focusing on Number Relations and Functions. Prepare for advanced concepts with our comprehensive course coverage and learning pathways.

Number Relations and Functions 10

Geometry, Measurement and Finance 10

New Brunswick Grade 10 Math Curriculum - Number Relations and Functions

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SCO_ID	Curriculum Outcome - Elaborations	StudyPug Topic
NB.SCO.N10.AN1	Demonstrate an understanding of factors of whole numbers: Determining prime factors, greatest common factor, least common multiple, square root, cube root	Prime factorization Greatest common factors (GCF) Least common multiple (LCM) Square and square roots Cubic and cube roots

NB.SCO.N10.AN2

Demonstrate an understanding of irrational numbers: Representing, identifying and simplifying irrational numbers, ordering irrational numbers

Rational vs. Irrational numbers

Converting radicals to mixed radicals

Converting radicals to entire radicals

Evaluating and simplifying radicals

NB.SCO.N10.AN3

Demonstrate an understanding of powers with integral and rational exponents: Applying exponent rules and converting between radicals and rational exponents

Quotient rule of exponents

Power of a product rule

Power of a quotient rule

Power of a power rule

Negative exponent rule

Combining the exponent rules

Scientific notation

Convert between radicals and rational exponents

Product rule of exponents

NB.SCO.N10.AN4

Demonstrate an understanding of multiplication of polynomial expressions: Multiplying monomials, binomials and trinomials concretely, pictorially and symbolically

Multiplying monomial by monomial

Multiplying monomial by binomial

Multiplying binomial by binomial

Multiplying polynomial by polynomial

Applications of polynomials

NB.SCO.N10.AN5

Demonstrate an understanding of common factors and trinomial factoring: Factoring polynomials concretely, pictorially and symbolically

Common factors of polynomials

Factoring polynomials by grouping

Factoring polynomials: x^2 + bx + c

Factoring polynomials: ax^2 + bx + c

Factoring perfect square trinomials: (a + b)^2 = a^2 + 2ab + b^2 or (a - b)^2 = a^2 - 2ab + b^2

Find the difference of squares: (a - b)(a + b) = (a^2 - b^2)

Word problems of polynomials

NB.SCO.N10.RF1

Interpret and explain the relationships among data, graphs and situations: Analyzing and describing relationships between variables in various contexts

Relationship between two variables

Understand relations between x- and y-intercepts

Domain and range of a function

Identifying functions

NB.SCO.N10.RF2

Demonstrate an understanding of relations and functions: Identifying and representing relations and functions using various methods

Graphing from slope-intercept form y=mx+b

Graphing linear functions using a single point and slope

Word problems of graphing linear functions

Function notation

NB.SCO.N10.RF3

Demonstrate an understanding of slope: Analyzing slope with respect to rise and run, line segments, rate of change, parallel and perpendicular lines

Slope equation:

m = \frac{y_2-y_1}{x_2- x_1}

Parallel line equation

Perpendicular line equation

Combination of both parallel and perpendicular line equations

NB.SCO.N10.RF4

Describe and represent linear relations: Using words, ordered pairs, tables of values, graphs, and equations to represent linear relations

Slope intercept form: y = mx + b

General form: Ax + By + C = 0

Point-slope form: y - y_1 = m(x - x_1)

Graphing linear functions using table of values

Graphing linear functions using x- and y-intercepts

NB.SCO.N10.RF5

Determine the characteristics of the graphs of linear relations: Analyzing intercepts, slope, domain, and range of linear relations

Introduction to linear equations

Introduction to nonlinear equations

Special case of linear equations: Horizontal lines

Special case of linear equations: Vertical lines

Parallel and perpendicular lines in linear functions

NB.SCO.N10.RF6

Relate linear relations expressed in various forms: Converting between slope-intercept, general, and slope-point forms of linear relations

Determining number of solutions to linear equations

Solving systems of linear equations by graphing

Applications of linear relations

Applications of linear equations

Solving systems of linear equations by elimination

NB.SCO.N10.RF7

Determine the equation of a linear relation: Given a graph, point and slope, two points, or parallel/perpendicular line equation

Money related questions in linear equations

Unknown number related questions in linear equations

Distance and time related questions in linear equations

Rectangular shape related questions in linear equations

Solving systems of linear equations by substitution

NB.SCO.N10.RF8

Solve problems involving distance between two points and midpoint of a line segment: Applying distance and midpoint formulas in various contexts

Distance formula:

d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Midpoint formula:

M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2)

Use sine ratio to calculate angles and sides (Sin = o / h)

Use cosine ratio to calculate angles and sides (Cos = a / h)

Use tangent ratio to calculate angles and sides (Tan = o / a)

NB.SCO.N10.RF9

Represent a linear function using function notation: Converting between various representations of linear functions using function notation

Combination of SohCahToa questions

Word problems relating ladder in trigonometry

Word problems relating guy wire in trigonometry

Solving expressions using 45-45-90 special right triangles

Solving expressions using 30-60-90 special right triangles

NB.SCO.N10.RF10

Solve problems involving systems of linear equations in two variables: Solving systems graphically and algebraically in various contexts

Other word problems relating angles in trigonometry

Factor by taking out the greatest common factor

Factor by grouping

Factoring difference of squares:

x^2 - y^2

Factoring trinomials

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