Grade 10 Math
Overview of Grade 10 Math
Grade 10 Math (Academic) allows students to expand their comprehension of relationships and enhance problem-solving and algebraic skills through investigation, effective use of technology, and abstract reasoning. Students will explore quadratic relations and their applications, solve and apply linear systems, verify geometric properties using analytic geometry, and investigate trigonometry of right and acute triangles. They will engage in mathematical reasoning and articulate their thoughts while solving multi-step problems.
In Grade 9 math, students were introduced to the subject of Linear Relations and Equations. In Grade 10, students are expected to use Linear Relations in a Geometric context. Slopes, y-intercepts, creating and rearranging linear equations are applied to triangles, parallelograms and minimizing distance problems in real-life scenarios.
An intuitive understanding of Linear Relations is also a requisite for success in the Grade 10 Systems of Equations Unit, where students must find the point of intersection between various lines algebraically, as well as determine the solutions to systems of equations in an applied setting. It becomes apparent that students who have a deep-rooted understanding of Linear Relations specifically will perform better than those who experienced difficulty in Grade 9 math. York Region Tutors ensure that our students have a strong foundation in Linear Relations while at the same time helping them through the novel concepts introduced in both the Systems Unit and the Analytic Geometry Unit.
Brand new topics are also introduced in Grade 10 math which tend to cause frustration for many students, including Quadratics (Part 1 & Part 2) and Trigonometry.
Sources:
https://www.dcp.edu.gov.on.ca/en/curriculum/secondary-mathematics
Grade 10 Math Curriculum (Academic) Breakdown
- Determine the basic properties of quadratic relations.
- Relate transformations of the graph of y = x2 to the algebraic representation y = a(x – h) 2 + k.
- Solve quadratic equations and interpret the solutions with respect to the corresponding relations.
- Solve problems involving quadratic relations.
- Use their knowledge of ratio and proportion to investigate similar triangles and solve problems related to similarity.
- Solve problems involving right triangles, using the primary trigonometric ratios and the Pythagorean theorem.
- Solve problems involving acute triangles, using the sine law and the cosine law.
- Model and solve problems involving the intersection of two straight lines.
- Solve problems using analytic geometry involving properties of lines and line segments.
- Verify geometric properties of triangles and quadrilaterals, using analytic geometry.
York Region Tutoring Provides
If a student is approaching a forthcoming test, we can provide them with a previous test to be completed at home before their upcoming session. Subsequently, during their next class, just before the exam, they can review the test with their tutor. These tests are exclusively sourced from high schools in York Region and other areas in Ontario, serving as the definitive benchmark for students to assess their readiness.
York Region Tutors and are equipped with drawing tablets making collaboration simple, efficient and effective. We also offer drawing tablets at a discount for purchase to students who really take to the functionality of the product.
At the parents’ request, following each tutoring session, our tutors can assign homework tailored to address weaknesses and reinforce strengths in students. Additionally, we incorporate homework questions directly extracted from previous tests and quizzes administered by YRDSB school teachers, allowing students to familiarize themselves with potential test questions.