How does Grade 10 math in Manitoba differ from Grade 9?

Grade 10 math in Manitoba builds on Grade 9 concepts, introducing more complex problem-solving and practical applications, especially in Essential Mathematics courses.

What are the main topics covered in Grade 10 Essential Mathematics?

Grade 10 Essential Mathematics covers topics like analysis of games and numbers, personal finance, measurement, 2D geometry, trigonometry, and consumer decisions.

How are students assessed in Grade 10 math courses?

Assessment in Grade 10 math includes classroom assignments, projects, quizzes, and tests. Some courses may have a final exam component as per Manitoba's curriculum guidelines.

What support is available for students struggling with Grade 10 math?

Support includes in-school tutoring, online resources, study groups, and specialized learning materials aligned with Manitoba's curriculum to help students master Grade 10 math concepts.

How difficult is Grade 10 Essential Mathematics (20S)?

Grade 10 Essential Mathematics is designed to be accessible, focusing on practical applications. It's suitable for students who prefer real-world math applications over abstract concepts.

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Grade 10 Math Courses - Manitoba Curriculum

Discover Manitoba's Grade 10 math options, including Essential Mathematics. Learn about course pathways, curriculum standards, and prepare for academic success in mathematics.

Manitoba Grade 10 Math Curriculum Topics

GO_ID	Outcome	StudyPug Topic
GO.10I.M.1	Solve problems involving linear measurement using SI and imperial units, estimation, and measurement strategies:	Conversions between metric and imperial systems Metric systems Imperial systems Conversions involving squares and cubic Upper and lower bound

GO.10I.M.3

Solve problems using SI and imperial units for surface area and volume of 3-D objects including cones, cylinders, prisms, pyramids, and spheres:

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

GO.10I.M.4

Develop and apply primary trigonometric ratios to solve problems involving right triangles:

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)

GO.10I.A.1

Determine prime factors, greatest common factor, least common multiple, square root, and cube root of whole numbers:

Understanding the number systems

Prime factorization

Greatest common factors (GCF)

Least common multiple (LCM)

Square and square roots

Cubic and cube roots

GO.10I.A.2

Represent, identify, simplify, and order irrational numbers:

Rational vs. Irrational numbers

Converting repeating decimals to fractions

Converting radicals to mixed radicals

Converting radicals to entire radicals

Evaluating and simplifying radicals

GO.10I.A.3

Demonstrate understanding of powers with integral 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

Solving for exponents

Product rule of exponents

GO.10I.A.4

Multiply polynomial expressions concretely, pictorially, and symbolically:

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

GO.10I.A.5

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

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)

Factor by taking out the greatest common factor

Factor by grouping

Factoring difference of squares: $x^2 - y^2$

Factoring trinomials

GO.10I.R.1

Interpret and explain relationships among data, graphs and contexts:

Relationship between two variables

Understand relations between x- and y-intercepts

Domain and range of a function

Identifying functions

Function notation

GO.10I.R.2

Demonstrate understanding of relations and functions:

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

Slope intercept form: y = mx + b

General form: Ax + By + C = 0

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

GO.10I.R.3

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

Rate of change

Parallel and perpendicular lines in linear functions

Applications of linear relations

GO.10I.R.4

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

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

GO.10I.R.5

Determine characteristics of linear relation graphs including intercepts, slope, domain, and range:

Introduction to linear equations

Introduction to nonlinear equations

Special case of linear equations: Horizontal lines

Special case of linear equations: Vertical lines

GO.10I.R.6

Relate linear relations in slope-intercept, general, and slope-point forms to their graphs:

Parallel line equation

Perpendicular line equation

Combination of both parallel and perpendicular line equations

GO.10I.R.7

Determine equation of a linear relation given various inputs such as graph, point and slope, two points:

Applications of linear equations

GO.10I.R.9

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

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

Determining number of solutions to linear equations

Solving systems of linear equations by graphing

Solving systems of linear equations by elimination

Solving systems of linear equations by substitution

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