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Understand equations, functions, and problem-solving

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Grade 10 Math Topics

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Measuring Systems
Metric systems
Imperial systems
Conversions between metric and imperial systems
Conversions involve squares and cubic
Upper and lower bound
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Surface Area and Volume
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
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Number System and Radicals
Understanding the number systems
Prime factorization
Greatest Common Factors (GCF)
Least Common Multiple (LCM)
Rational vs. Irrational numbers
Converting repeating decimals to fractions
video
Radicals
Square and square roots
Cubic and cube roots
Evaluating and simplifying radicals
Converting radicals to mixed radicals
Converting radicals to entire radicals
Adding and subtracting radicals
Multiplying and dividing radicals
Rationalize the denominator
video
Exponents
Product rule of 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
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Operations of Polynomials
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
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Factoring Polynomial Expressions
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 ax2+bx+cax^2 + bx + cax2+bx+c
Factoring polynomials: ax2+bx+cax^2 + bx + cax2+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)
Evaluating polynomials
Using algebra tiles to factorise polynomials
Solving polynomial equations
Word problems of polynomials
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Introduction to Relations and Functions
Relationship between two variables
Understand relations between x- and y-intercepts
Domain and range of a function
Identifying functions
Function notation
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Linear Functions
Distance formula: d=(x2−x1)2+(y2−y1)2d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}d=(x2​−x1​)2+(y2​−y1​)2​
Midpoint formula: M=(x1+x22,y1+y22)M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2)M=(2x1​+x2​​,2y1​+y2​​)
Slope equation: m=y2−y1x2−x1m = \frac{y_2-y_1}{x_2- x_1}m=x2​−x1​y2​−y1​​
Slope intercept form: y = mx + b
General form: Ax + By + C = 0
Point-slope form: y−y1=m(x−x1)y - y_1 = m (x - x_1)y−y1​=m(x−x1​)
Rate of change
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
Parallel and perpendicular lines in linear functions
Applications of linear relations
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Linear Equations
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
Applications of linear equations
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Solving Linear Systems
Determining number of solutions to linear equations
Solving systems of linear equations by graphing
Using elimination method to solve systems of equations
Using substitution method to solve systems of equations
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
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Trigonometry
Use sine ratio to calculate angles and sides (Sin = oh \frac{o}{h}ho​ )
Use cosine ratio to calculate angles and sides (Cos = ah \frac{a}{h}ha​ )
Use tangent ratio to calculate angles and sides (Tan = oa \frac{o}{a}ao​ )
Combination of SohCahToa questions
Solving expressions using 45-45-90 special right triangles
Solving expressions using 30-60-90 special right triangles
Word problems relating ladder in trigonometry
Word problems relating guy wire in trigonometry
Other word problems relating angles in trigonometry
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Factoring Quadratic Equations
Factor by taking out the greatest common factor
Factor by grouping
Factoring difference of squares: x^2 - y^2
Factoring trinomials
Factoring difference of cubes
Factoring sum of cubes
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Quadratic Functions
Characteristics of quadratic functions
Transformations of quadratic functions
Quadratic function in general form: y = ax2+bx+cax^2 + bx+cax2+bx+c
Quadratic function in vertex form: y = a(x-p)^2 + q
Completing the square
Converting from general to vertex form by completing the square
Shortcut: Vertex formula
Graphing parabolas for given quadratic functions
Finding the quadratic functions for given parabolas
Applications of quadratic functions
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Solving Quadratic Equations
Solving quadratic equations by factoring
Solving quadratic equations by completing the square
Solving quadratic equations using the quadratic formula
Nature of roots of quadratic equations: The discriminant
Applications of quadratic equations
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Transformations of Functions
Transformations of functions: Horizontal translations
Transformations of functions: Vertical translations
Reflection across the y-axis: y = f(-x)
Reflection across the x-axis: y = -f(x)
Transformations of functions: Horizontal stretches
Transformations of functions: Vertical stretches
Combining transformations of functions
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Set Theory
Set notation
Set builder notation
Intersection and union of 2 sets
Intersection and union of 3 sets

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What is in grade 10 math?

Coming out of a terrible grade 9 math experience? Unsettled and unprepared for what's next? Let us help you break down what to expect next – StudyPug offers a comprehensive math 10 provincial tutoring program that will meet your every need. So whether you are coming from grade 10 math Alberta, the Ontario math curriculum, or preparing for B.C. math 10, we've got you covered. Learn grade 10 math and breeze through topics like factoring polynomials, linear equations, and quadratic functions. Master radicals, overcome exponents, and conquer your fear of trigonometry as we explore Math 10 in depth.

Understanding grade 10 math will never come as easy as it will with StudyPug! With example-based lessons and 24/7 help with grade 10 math from our renowned tutors, learn new problem-solving skills and observe real world applications of grade 10 math topics. Grade 10 applied math elevates abstract math concepts helping you see relationships with the real world. Always be ready to answer the proverbial question of "when will I ever use this?" and discover a new appreciation of how fun math can be!

That's Math 10 in a nutshell for you! Access our entire grade 10 math library of lessons, questions and always be prepared for that homework assignment, test, or exam!

Is grade 10 math hard?

Not if you study hard! Like any other subject or grade level, grade 10 math questions and content come in various levels of difficulty. What some of you might find super easy the next person might find incredibly hard. To level the playing field, we offer you the greatest grade 10 math online course on the Internet! Let us do the heavy lifting and take that burden of anxiety off your back.

At StudyPug we've intentionally sought out the toughest topics and researched the best methods of teaching so that we can bring the best grade 10 math tutoring service to ALL (Yes! Even if you feel like you belong with grade 10 math for dummies). We design and provide simple, straightforward, yet succinct lessons; catering to different learning styles and levels of understanding. We walk step-by-step with you through questions to ensure that you're receiving a complete grade 10 math review experience. Skip the stress of cramming or the mundane 30-minute video lessons and review high school math with us!

Worried about how hard the last grade 10 math exam you took was? Feeling unsure about how to come back from that ugly letter grade? Read on to find out more about our extensive grade 10 math exam practice tips and exam-taking strategies!

How to pass grade 10 math?

Passing grade 10 math may initially seem unmanageable – with the multitude of topics to review you may be feeling clueless on where to even begin! We want to make sure you're well prepared so our team at StudyPug has carefully crafted our grade 10 math course to mirror a grade 10 math exam review guide. Forgo those dreary grade 10 math worksheets and join us for fun, easy practice on grade 10 math exam questions!

Begin with our grade 10 math lessons. Start here if you're feeling especially lost or confused about the topic. Watch these videos in no time and survey the 1000's of other lessons you may also require to understand the lesson. Some of these grade 10 math lessons are concomitant, so take the time to learn the core concepts before you move on to the next lesson. This may be the reason why you are struggling in the first place!

To give you a taste of what to expect in your grade 10 math test, we dedicate a good portion of our lessons taking you through step-by-step examples. We do this so that you are familiar with questions that you will see in your test or exam. Learn techniques to tackle similar kinds of questions and find out how to avoid making silly mistakes.

Finally, practice with our repository of 936 practice questions! This is a very important part of grade 10 math exam prep, so don't miss out on this! Test your knowledge and understanding of the topics and see how well you do in this mock test/exam. The more questions you do, the more prepared you'll be to pass grade 10 math with flying colours!

Stumped during practice? We're always here with 24/7 help so drop back into one our lessons and learn by example again!

How to prepare for grade 10 math?

Getting ahead of the game is always recommended for aspiring students and math keeners! Partnering with StudyPug as your tutor is the best way to do so as we offer a plethora of math courses to prepare you well in advance for the future! Whether you feel like the grade 9 math curriculum is too easy, or find yourself in search of a challenge, or perhaps have had enough of grade 9 math worksheets, StudyPug is here to save you from boredom and grow your potential. Master grade 10 math ahead of time or swing back to refresh your memory on grade 9 math anytime and everywhere. Many topics learnt in grade 9 math will be expanded on in grade 10 math, so take your time, and have no shame in skipping back.

StudyPug provides you instant access to the entirety of our grade 10 math tutorials, grade 10 math notes and more! Learn grade 10 math online at your own pace with the guidance of our professional grade 10 math tutors. Stop worrying about whether we cover your grade 10 math curriculum or that specific Math 10 textbook (we always do!) and start your prep today! Track your progress with a personal study plan, earn badges, stay engaged and motivated throughout our lessons. Recall that our content builds on top one another, so start from lesson 1 and work your way through the foundations before attempting advanced topics in grade 10 math.

Throughout each lesson, don't forget to visit our bank of questions to help you sharpen your grade 10 math skills – challenge yourself each lesson to completing all the questions related to that chapter before moving on as this is the true test to seeing how prepared you are for grade 10 math!

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