Foundation of Algebra - Honors 1.5

The concepts of algebra are very important to continued success in other mathematics courses. In Algebra 1.5, 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 1.5, students will write, graph and solve linear inequalities, systems of linear equations, quadratic functions, and exponential functions.

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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.

Algebra Honors 1.5, Pdf Link: For More Details

Substitution

- Substittion Ex1 (PDF)(WB)
- Substittion Ex2 (PDF) (WB)
- Substittion Ex3 (PDF) (WB)
- Substittion Ex4 (PDF)(WB)

ADDITION LIKE TERMS

- Addition like terms Ex1 (PDF)

Add and Subtract

- Add and Subtract Ex1 (PDF)(WB)
- Add and Subtract Ex2 (PDF)
- Add and Subtract Ex3 (PDF)
- Add and Subtract Ex4 (PDF)

Subtraction Miscellaneous Exercise

- Subtraction Miscellaneous Exercise Ex1(PDF)

Multiplication

- Multiplication Ex1 (PDF)
- Multiplication Ex2 (PDF)
- Multiplication Ex3 (PDF)
- Multiplication Ex4 (PDF)
- Multiplication Ex5 (PDF)
- Multiplication Ex6 (PDF)
- Multiplication Ex7 (PDF)

Division

- Division Ex1 (PDF)
- Division Ex2 (PDF)
- Division Ex3 (PDF)
- Division Ex4 (PDF)

Removal And Insertion of Brackets

- Removal and insertion of Brackets Ex1 (PDF)
- Removal and insertion of Brackets Ex2 (PDF)
- Removal and insertion of Brackets Ex3 (PDF)
- Removal and insertion of Brackets Ex4 (PDF)

Symbolical Expression

- Symbolical Expression Ex1 (PDF)
- Symbolical Expression Ex2 (PDF)

Problem leading to simple equations

- Problem Leading to Simple Equations Ex1 (PDF)

Resolution into factors

- Resolution into factors Ex1
- Resolution into factors Ex2 (PDF)
- Resolution into factors Ex3 (PDF)
- Resolution into factors Ex4 (PDF)
- Resolution into factors Ex5 (PDF)
- Resolution into factors Ex6 (PDF)
- Resolution into factors Ex7 (PDF)
- Resolution into factors Ex8 (PDF)
- Resolution into factors Ex9 (PDF)
- Resolution into factors Ex10 (PDF)
- Resolution into factors Ex11 (PDF)
- Resolution into factors Ex12 (PDF)
- Resolution into factors Ex13 (PDF)
- Resolution into factors Ex14 (PDF)
- Resolution into factors Ex15 (PDF)

Highest Common Fraction

- Highest Common Fraction Ex1
- Highest Common Fraction Ex2
- Highest Common Fraction Ex3

Lowest Common Multiple

- Lowest Common Fraction Ex1
- Lowest Common Fraction Ex2
- Lowest Common Fraction Ex3

Fractions

- Fractions Ex1
- Fractions Ex2
- Fractions Ex3

ADV. Algebra

- Addition and subtraction of fraction XXI-a [PDF]
- Addition and subtraction of fraction XXI-b[PDF]

- Mini Algebra Level 1
- Mini Algebra Level 2
- Mini Algebra Level 3
- Mini Algebra Level 4
- Mini Algebra Level 5
- Mini Algebra Level 6
- Mini Algebra Level 7

- Algebra Final Exam Level 1
- Algebra Final Exam Level 2
- Algebra Final Exam Level 3