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Grade 10 Math Courses - Newfoundland Curriculum

Discover Newfoundland's Grade 10 math options: Mathematics 1201 and Applied Mathematics 1202. These courses provide a solid foundation for advanced math concepts and practical applications.

Mathematics 1201

Applied Mathematics 1202

Newfoundland Grade 10 Math Curriculum - StudyPug

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SO_ID	Outcome	StudyPug Topic
NL.SO.1201M1	Measurement: Provide referents for linear measurements, compare SI and imperial units, estimate linear measures, justify unit choices, solve problems with linear measure, describe personal measurement strategies	Conversions between metric and imperial systems Metric systems Imperial systems Conversions involving squares and cubic Upper and lower bound

NL.SO.1201M2

Measurement: Convert measurements within and between SI and imperial systems using proportional reasoning, solve conversion problems, verify conversions using unit analysis, justify reasonableness of solutions

Direct variation

NL.SO.1201M3

Measurement: Determine surface area and volume of 3D objects, find unknown dimensions given surface area or volume, describe relationships between volumes of similar objects, solve problems involving composite 3D objects

Surface area and volume of prisms

Surface area and volume of pyramids

Surface area and volume of cylinders

Surface area and volume of cones

Surface area and volume of spheres

NL.SO.1201M4

Measurement: Identify parts of right triangles, explain trigonometric ratio relationships, use ratios to find missing angles and sides, solve problems using trigonometry and Pythagorean theorem

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

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

Combination of SohCahToa questions

Word problems relating ladder in trigonometry

Word problems relating guy wire in trigonometry

Other word problems relating angles in trigonometry

Solving expressions using 45-45-90 special right triangles

Solving expressions using 30-60-90 special right triangles

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

NL.SO.1201AN1

Algebra and Number: Determine prime factors, explain properties of 0 and 1, find GCF and LCM, solve problems with prime factors and roots, identify perfect squares and cubes, find square and cube roots

Understanding the number systems

Prime factorization

Greatest common factors (GCF)

Least common multiple (LCM)

Square and square roots

Cubic and cube roots

NL.SO.1201AN2

Algebra and Number: Explain radical index meaning, classify real numbers, represent number relationships, approximate irrational numbers, order irrational numbers, simplify and convert radicals

Rational vs. Irrational numbers

Converting repeating decimals to fractions

Converting radicals to mixed radicals

Converting radicals to entire radicals

Evaluating and simplifying radicals

NL.SO.1201AN3

Algebra and Number: Explain and apply exponent laws, express powers with rational exponents as radicals and vice versa, simplify expressions with rational and variable bases, identify and correct errors

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

Solving for exponents

Product rule of exponents

NL.SO.1201AN4

Algebra and Number: Explain and model multiplication of binomials, relate to area model, multiply polynomials symbolically, verify by substitution, generalize multiplication strategies, identify errors

What is a polynomial?

Polynomial components

Multiplying monomial by monomial

Multiplying monomial by binomial

Multiplying binomial by binomial

Multiplying polynomial by polynomial

Applications of polynomials

NL.SO.1201AN5

Algebra and Number: Explain relationship between multiplication and factoring, express polynomials as products of factors, factor polynomials using various methods, verify by multiplication, identify and explain errors

Common factors of polynomials

Factoring polynomials by grouping

Solving polynomials with unknown coefficients

Solving polynomials with unknown constant terms

Factoring polynomials: x^2 + bx + c

Applications of polynomials: x^2 + bx + c

Solving polynomials with the unknown "b" from ax^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)

Using algebra tiles to factor polynomials

NL.SO.1201RF1

Relations and Functions: Describe situations for graphs, sketch graphs for situations, explain data point connections, determine and express domain and range of relations

Relationship between two variables

Understand relations between x- and y-intercepts

Domain and range of a function

NL.SO.1201RF2

Relations and Functions: Represent relations in various ways, identify independent and dependent variables, determine if relations are functions, explain function properties, sort graphs as functions or non-functions

Function notation (advanced)

Identifying functions

Function notation

NL.SO.1201RF3

Relations and Functions: Determine and explain slope, solve problems involving slope, classify lines by slope, explain meaning of horizontal and vertical line slopes, draw lines given slope and point

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)

Slope equation:

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

NL.SO.1201RF4

Relations and Functions: Match representations of linear relations, determine if tables, ordered pairs, graphs, or equations represent linear relations, explain reasoning

Slope intercept form: y = mx + b

General form: Ax + By + C = 0

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

NL.SO.1201RF5

Relations and Functions: Determine rate of change, intercepts, domain and range of linear relations, identify graphs corresponding to given characteristics, solve contextual problems involving linear relations

Graphing linear functions using table of values

Graphing linear functions using x- and y-intercepts

Graphing from slope-intercept form y=mx+b

Graphing linear functions using a single point and slope

Word problems of graphing linear functions

NL.SO.1201RF6

Relations and Functions: Express and compare linear relations in different forms, generalize graphing strategies, graph linear relations in various forms, match relations to graphs, identify equivalent relations

Introduction to linear equations

Introduction to nonlinear equations

Special case of linear equations: Horizontal lines

Special case of linear equations: Vertical lines

Parallel line equation

Perpendicular line equation

Combination of both parallel and perpendicular line equations

NL.SO.1201RF7

Relations and Functions: Determine equation of linear relation from graph or points, write equations of parallel and perpendicular lines, graph linear data and write equation, solve problems using linear equations

Parallel and perpendicular lines in linear functions

Applications of linear relations

Applications of linear equations

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