Foundation of Algebra - Honors 1.5
Prerequisites: None for Algebra 1.5 A. Algebra 1.5 A, or the equivalent. A thorough introduction for students in grades 6-9 to algebraic topics such as linear equations, ratios, special factorizations, complex numbers, sequences, series, exponents, polynomials, etc. Scheduled for 12 weeks.
A thorough introduction for students in grades 6-9 to algebraic accelerated topics such as Algebra 1.5 A, Honors Algebra, Algebra 2, 1.5 function Notation, linear equations, ratios, special factorizations, complex numbers, sequences, series, exponents, polynomials et are offered grade wise to the students by Talent academy. Mastering the concepts of algebra is very important to continued success in other mathematics courses. In Algebra 1.5A, students will learn the why and the how of the foundations of algebra including proportional reasoning, writing and evaluating algebraic expressions, solving equations, and graphing and writing linear functions. In Algebra 1.5B, students will write, graph and solve linear inequalities, systems of linear equations, quadratic functions and exponential functions. This course will include: Weekly online class meetings Video explanations of the assignments Practice assignments in worksheet form Real-world problem solving questions Voice-thread and other assignments where students will participate by voice Quizzes and tests to evaluate students’ progress and understanding Throughout the courses, students will actively participate in their own learning and will also benefit from personal feedback to help them continue to improve their mathematic skills.
This course has around 300 problems which include Linear Functions, Linear Functions, Direct/Inverse variations, Graph Rational Functions, etc. In Algebra 1 Honors, instructional time will emphasize five areas: (1) performing operations with polynomials and radicals, and extending the Laws of Exponents to include rational exponents; (2) extending understanding of functions to linear, quadratic and exponential functions and using them to model and analyze real-world relationships; (3) solving quadratic equations in one variable and systems of linear equations and inequalities in two variables; (4) building functions, identifying their key features and representing them in various ways and (5) representing and interpreting categorical and numerical data with one and two variables.
In Algebra 1.5A, students will learn the why and the how of the foundations of algebra including proportional reasoning, writing and evaluating algebraic expressions, solving equations, and graphing and writing linear functions. Honors and Accelerated Level Course Note: Accelerated courses require a greater demand on students through increased academic rigor. Academic rigor is obtained through the application, analysis, evaluation, and creation of complex ideas that are often abstract and multifaceted. Students are challenged to think and collaborate critically on the content they are learning. Honors level rigor will be achieved by increasing text complexity through text selection, focus on high-level qualitative measures, and complexity of task. Instruction will be structured to give students a deeper understanding of conceptual themes and organization within and across disciplines. Academic rigor is more than simply assigning to students a greater quantity of work. Mathematicians who participate in effortful learning both individually and with others: Analyze the problem in a way that makes sense given the task. Ask questions that will help with solving the task. Build perseverance by modifying methods as needed while solving a challenging task. Stay engaged and maintain a positive mindset when working to solve tasks. Help and support each other when attempting a new method or approach. Mathematicians who demonstrate understanding by representing problems in multiple ways: Build understanding through modeling and using manipulatives. Represent solutions to problems in multiple ways using objects, drawings, tables, graphs and equations. Progress from modeling problems with objects and drawings to using algorithms and equations. Express connections between concepts and representations. Choose a representation based on the given context or purpose Mathematicians who complete tasks with mathematical fluency: Select efficient and appropriate methods for solving problems within the given context. Maintain flexibility and accuracy while performing procedures and mental calculations. Complete tasks accurately and with confidence. Adapt procedures to apply them to a new context. Use feedback to improve efficiency when performing calculations.
Standards met: Selected high school math standards in Algebra are met, but students will also need to complete Algebra 2 in order to meet all Algebra standards.
Credit: 1.0 (Semester A = 0.5 credit, Semester B = 0.5 credit.)
Honors Opportunity: No
Prerequisites: None for Algebra 1.5 A. Algebra 1.5 A, or the equivalent, for Algebra 1.5 B.
Rate $130-$160 per month Teacher assistant will be available from 9 to 1 AM EST on skype.
Substitution
ADDITION LIKE TERMS
Add and Subtract
Subtraction Miscellaneous Exercise
Multiplication
Division
Removal And Insertion of Brackets
Symbolical Expression
Problem leading to simple equations
Resolution into factors
Highest Common Fraction
Lowest Common Multiple
Fractions
ADV. Algebra