IMEZ-Academy’s online trigonometry course is one of five math courses offered at the high school level. This one-semester course is designed for students that have successfully completed a second year of algebra and desire to improve their analytic math abilities and understanding of trigonometry.
Our trigonometry curriculum is taught using a combination of multimedia lessons, instructional videos, quizzes, tests and both online and offline projects. All instruction is standards-based and helps to prepare students for college math courses.
Trigonometry studies the relationship between the sides and angles of triangles. It uses geometrical constructions to determine the measurement of angles from the ratio of the lengths of the sides. Mathematicians, scientists, architects, and many others use trigonometry in their profession to determine distances between objects without having to measure them.
Some of the lessons included in IMEZ-Academy’s online trigonometry curriculum for high school students are:
Triangle Classification Theorems
Solving Trigonometric Equations
Angles and Trigonometric Functions
Applying Vectors in the Plane
Equations of Hyperbolas
What is Taught in High School Trigonometry ?
High School Trigonometry Objectives
The topics that are covered in trigonometry encourage students to use problem solving and prepare them for future pursuits that may include careers in STEM (science/technology/engineering/math). The Time4Learning trigonometry course begins with a quick overview of right triangle relationships before introducing students to trigonometric functions and their applications. The course wraps up with an introduction to vectors and conic sections.
Throughout the trigonometry course, students will reach for the following goals:
Define and apply the six trigonometric functions
Represent conic sections with equations and graphs
Solve problems in the complex and polar coordinate systems
Explore right triangle relationships and solve problems with triangles
IMEZ-Academy’s Geometry curriculum is one of five math courses offered at the high school level. Students can expect to see various concepts being covered including points, lines, and planes, logic and reasoning, angles, slopes, triangles, polygons, circles, volume, area, and more.
Our online geometry course addresses the critical areas of congruence, proof, and constructions, trigonometry, three-dimensional figures and more. These areas of importance will help students apply geometric concepts in modeling situations, solve novel problems, reason abstractly, and think critically.
High School Geometry is usually auto-assigned to IMEZ-Academy students in grade 10. However, parents can choose a different math course if they prefer. Read on to learn more about our homeschool Geometry curriculum.
Teaching high school geometry is an important step in expanding your child’s foundation in math. It gives them the opportunity to build on their conceptual understanding of rigid transformations established in middle school and make algebraic connections that they’ve learned in the past.
The following tips will help parents teach high school geometry lessons:
Use graphics, charts, diagrams, and animations to enrich your child’s learning experience.
Mix in real-life topics to make the material more relevant.
Provide plenty of instruction so that your student fully understands the assignments.
Include rubrics, checklists, and grading tools for easier grading of written assignments and projects.
Incorporate multimedia devices, videos and printed materials.
Use the proper educational tools that will make teaching geometry entertaining and interesting.
Measure your child’s progress at the end of each lesson/chapter with a quiz, test or other assessment method.
What is Taught in High School Geometry?
High School Geometry Objectives
A high school geometry curriculum will include multiple objectives for students. By the end of tenth grade students should have a grasp on geometric transformations, right triangle relationships and trigonometry, applications of probability and more.
Additional objectives for high school geometry include:
Applying the protractor postulate and angle addition postulate to calculate angle measures.
Determining unknown measures of congruent figures.
Applying properties of parallelograms to solve problems.
Constructing parallel and perpendicular lines.
Solving real-world problems involving special right triangles.
Determining the radian measure of a central angle.
Calculating probabilities using the addition rule.
IMEZ-Academy’s pre-calculus curriculum is one of five math courses offered at the high school level. Students aiming to apply to a selective four-year college or who plan to major in a math or science-related field should complete a pre-calculus course in high school.
Our online pre-calculus course is taught using a combination of multimedia lessons, instructional videos, quizzes, tests, and other projects. All instruction is standards-based and helps to prepare students for college math courses.
On this page, you will discover what topics are covered in a high school pre-calculus course, learn more about the general objectives for pre-calculus.
Pre-calculus is a year-long course that provides a structured entry to advanced studies while building on concepts learned in previous high school math courses. Designed to be taken after Algebra II, pre-calculus builds upon students’ understanding of various aspects of functions and expands their knowledge of trigonometric functions, all while helping them make connections between geometry and algebra.
IMEZ-Academy’s online pre-calculus course for high school students is made up of the following 10 chapters:
Functions and Modeling
Trigonometry
Analytic Trigonometry
Complex Numbers and Polar Coordinates
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Vectors
Systems and Matrices
Matrices
Analytic Geometry
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Sequences and Series
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Limits
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What will students learn in pre-calculus?
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The topics that are covered in pre-calculus encourage students to use problem solving and prepare them for future pursuits that may include STEM (science/technology/engineering/math) careers. Pre-calculus emphasizes mathematical analysis and critical thinking rather than just the memorization of facts.
Throughout the pre-calculus course, students will reach for the following goals:
Use mathematical modeling to solve real-world problems
Apply a variety of techniques to solve equations, inequalities, and systems
Make connections between numeric, graphical, and algebraic representations of relations and functions
Pre-calculus Objectives
​Students typically learn Algebra II in 11th grade. An Algebra II curriculum usually builds on knowledge and skills that are gained in Algebra I and reinforced in Geometry, including relationships between quantities through equations and inequalities, graphing of functions, and trigonometry.
In high school, Algebra II helps students gain an understanding of statistics and probability, exponents and logarithms, and mathematical modeling. In general, the Algebra II course covers components in four critical areas: functions, collecting and analyzing data, periodic phenomena, and polynomials.
A high-quality introduction to algebra I should address graphing, solving equations, inequalities, percentages, integers, and more. With the right curriculum on your side, teaching algebra I should not be overwhelming at all. If the curriculum is engaging and fun for your student, they will start learning algebra I in no time.
Below are some tips to help you teach high school algebra I.
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Follow the sequence of your Algebra II curriculum in order to ensure that topics are presented in a logical manner.
Check to make sure your 11th grader has good strategies for memorizing equations, studying processes, and checking answers.
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Since higher-level math courses tend to build on prior learning, help your child identify and address knowledge or skill gaps prior to moving onto new topics.
Provide your 11th grader with the flexibility and time to revisit material, use additional resources, and redo assignments, quizzes, and tests in order to achieve mastery.
Understand that 11th grade can be a stressful transitional period because your child may be balancing academics, work, activities, and a social life while looking forward to what is next after high school. Be patient!
Encourage your 11th grader to set up an environment and schedule that will allow for sustained concentration for periods of learning that are not too long.
Vary the ways that information is presented, and seek multiple presentations (i.e., text, videos, demonstrations) for the more complex topics.
Reach out to other high school homeschoolers personally or online to get advice, find resources or tutors, or simply reassure yourself that you are doing the best for your child!
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Notice and help your child celebrate accomplishments in the course.
What will students learn in Algebra II?
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Algebra II Objectives
At this level, your child’s goals and objectives for Algebra II may be very specific, targeting discrete concepts or skills. Here are some examples of 11th grade Algebra II learning goals and objectives:
Evaluate sums, differences, products, and quotients of functions.
Determine the roots of and factor a polynomial function.
Write one-variable radical inequalities to model problems.
Compare sine, cosine, and tangent values for angles having the same reference angle.
Use the discriminant to determine the number and type of roots of a quadratic equation.
Graph rational functions that have only vertical or horizontal asymptotes.
Solve logarithmic expressions by converting between logarithmic and exponential forms.
Analyze a function rule or graph to determine transformations of the parent function.
A high-quality introduction to algebra I should address graphing, solving equations, inequalities, percentages, integers, and more. With the right curriculum on your side, teaching algebra I should not be overwhelming at all. If the curriculum is engaging and fun for your student, they will start learning algebra I in no time.
Below are some tips to help you teach high school algebra I.
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Activate prior knowledge before starting a lesson to determine if it’s necessary to review previous concepts.
Use engaging videos to teach new, complex concepts.
Work through problems step by step, explaining each one, and ensuring students understand each step.
Use real-world examples so students can understand how the concepts actually apply to real life.
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Make sure your student knows the order of operations PEMDAS (parenthesis, exponents, multiplication, division, addition and subtraction).
Allow students plenty of opportunities to analyze and discuss solved problems and equations.
Have them practice solving the operations without a calculator for when they are not allowed to use one.
Help them organize long problems to avoid errors, such as starting a new line for every step toward solving the problem.
Typically, students in high school are introduced to Algebra I. Although some students may take Algebra I as early as 8th grade depending on their math skills. An Algebra I curriculum will formalize and extend student’s knowledge on several areas including linear and exponential relationships, descriptive statistics, quadratic functions, and more.
Below you’ll find helpful information on our algebra I homeschool curriculum, learning objectives you can set to ensure your student is mastering these skills, and more.
What will students learn in Algebra I?
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Algebra I Objectives
The main goal of Algebra I is to develop fluency in working with linear equations and extend their knowledge of irrational numbers, experience with tables, and graphs as well as help them make meaningful connections to real life’s experiences. Additionally, an algebra I course should promote inquiry and a focus on big ideas.
Each one of your algebra I lessons should objectives for your child to achieve. These can look something like this:
Determine the domain and range of a functional relationship.
Create absolute value equations to model and solve problems.
Evaluate a quadratic function using tables, graphs, and equations.
Accurately simplify numerical expressions containing square roots.
Identify the slope and y-intercept of a linear function.
Solve a system of linear equations using substitution.
Make reasonable estimates using rational and irrational numbers.
Successfully find common monomial factors of polynomials.