## Algebra I Common Core

Grade 9 | Full-Year Course

This course is a full year course for 9th Grade Math students. It follows the New York State Regents curriculum for Common Core Algebra. Students will learn about the different types of numbers represented in the real number systems. Problem solving techniques and situations will also be taught at a challenging level for students. Students will be introduced to functions such as linear and non-linear equations and inequalities. They will learn how to solve and graph these functions. Simple exponential and radical functions will also be discussed in this course. Students will have the opportunity to learn how to collect and organize data in order to understand the concepts of statistics and probability. Students are required to take the New York State Regents exam for Common Core Algebra in June.

## Lesson : Graphs Of Quadratic Functions

#### Classwork

##### Exploratory Challenge

Plot a graphical representation of change in elevation over time for thefollowing graphing story. It is a video of a man jumping from 36 ft. aboveground into 1 ft. of water.

youtube/watch?v=ZCFBC8aXz-g oryoutu/ZCFBC8aXz-g

**Lesson 2:** Graphs of Quadratic Functions

##### S. 4

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## Common Core Algebra I

In this course students will explore a variety of topics within algebra including linear, exponential, quadratic, and polynomial equations and functions. Students will achieve fluency in solving linear and quadratic equations as well as with manipulation of polynomials using addition, subtraction, multiplication, and factoring. Students will understand the key differences between linear and exponential functions. Students learn to model problems using algebra, functions, sequences, probability, and statistics. This course is aligned to the Common Core State Standards for Algebra I.

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## Nys Common Core Mathematics Curriculum Lesson 1 M

*ALGEBRA I*

##### Example 1

Here is an elevation-versus-time graph of a persons motion. Can we describe what the person might have been doing?

**PIECEWISE-DEFINED LINEAR FUNCTION** : Given non-overlapping intervals on the real number line, a * piecewise linearfunction* is a function from the union of the intervals on the real number line that is defined by linearfunctions on each interval.

**Lesson 1:** Graphs of Piecewise Linear Functions

##### S. 2

*ALGEBRA I*

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## Nys Finish Line Algebra I

$20.70 each

Give your students instruction and practice to reinforce the Common Core Learning Standards and get ready for the Regents Algebra I Exam.

*NYS Finish Line Algebra I* provides instruction and practice for the New York Common Core Learning Standards and gets students ready for the Regents Algebra I Exam.

**FREE eBooks offer for in-school and distance learning!**See offer details and eBook features.

Student Book

- Lessons reinforce your teaching of tested
**Common Core Learning Standards**for Algebra I. - Content and organization follow the curriculum sequence outlined by New York State.
- Topics that are often stumbling blocks for students are covered in detail, starting with the fundamentals.
- The progression of skills goes from recognizing and understanding forms and processes, to solving equations and inequalities, to modeling equations and graphs to represent real-life situations.
- Rigorous multiple-choice and constructed-response items give students test-like practice.

Teachers GuideThe teachers guide includes suggestions for use, NYS Common Core Learning Standards for Algebra I, reproducible formula reference sheet, and answer key with standards alignment, sample exemplary responses for constructed-response items, error rationales for multiple-choice items, and scoring breakdown for constructed-response items.

Student Book: 296 pages

## New York State Common Core Math Algebra Ii Module 1 Lesson 26

Solve the following equation. Remember to check for extraneous solutions

Lesson Summary

In this lesson, we applied what we have learned in the past two lessons about addition, subtraction, multiplication,and division of rational expressions to solve rational equations. An extraneous solution is a solution to atransformed equation that is not a solution to the original equation. For rational functions, extraneous solutionscome from the excluded values of the variable.Rational equations can be solved one of two ways:

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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## Algebra I Common Core Honors

Honors Academy Grade 9 | Full-Year Course

This is a full-year course or the more advanced Math students. It follows the New York State Regents for Algebra 1 Common Core. Students will learn about the different topics of number represented in the real number systems. Problem solving techniques and situations will also be taught at a more challenging level for the students. Students will be introduced to different types of functions such as linear equations and inequalities, and quadratic functions. Simple exponential and radical functions will also be discussed in this course. Students will be required to complete a project in each unit that will incorporate the skills and academic standards based on the unit. The project will help students deepen their conceptual knowledge of these key concepts. The process will combine the application of mathematics content with skills such as problem-solving, communication, collaboration, and critical thinking. The projects will be based on real world scenarios that are relevant to the students. Students will have to create, evaluate, apply and analyze information. These higher-level orders of thinking will provide the challenge and rigor necessary to fully engage our honors students. Students are required to take the New York State Regents exam for the Algebra 1 Common Core Regents in June.

## Lesson : Graphs Of Exponential Functions

#### Classwork

##### Example

Consider the story:

*Darryl lives on the third floor of his apartment building. His bike is locked up outside on the ground floor. At 3:00 p.,he leaves to go run errands, but as he is walking down the stairs, he realizes he forgot his wallet. He goes back up thestairs to get it and then leaves again. As he tries to unlock his bike, he realizes that he forgot his keys. One last time, hegoes back up the stairs to get his keys. He then unlocks his bike, and he is on his way at 3:10 p.*

Sketch a graph that depicts Darryls change in elevation over time.

**Lesson 3:** Graphs of Exponential Functions

##### S. 8

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## Algebra Ii Common Core Honors Algebra Ii Common Core Regents

Grades 10, 11 | Full-Year Course

This is a full-year course for students who took Algebra 1 and follows the New York State Regents curriculum for Algebra II Common Core. Topics include number systems extended to imaginary and complex numbers operations of rational expressions, trigonometric, and radical function regression trigonometric equations statistics and probability. Students will be required to complete a project in each unit that will incorporate the skills and academic standards based on the unit. The project will help students deepen their conceptual knowledge of these key concepts. The process will combine the application of mathematics content with skills such as problem-solving, communication, collaboration, and critical thinking. The projects will be based on real world scenarios that are relevant to the students. Students will have to create, evaluate, apply and analyze information. These higher-level orders of thinking will provide the challenge and rigor necessary to fully engage our honors students. Students are required to take the New York State Regents exam for Algebra II Common Core in June.

PREREQUISITE: Determined by Algebra 1 grade and teacher recommendation

## Geometry Common Core Honors Geometry Common Core Regents

Grades 11, 12 | Full-Year Course

A full-year course for students who took Algebra II Common Core and follows the New York State Regents curriculum for Geometry Common Core. Students will focus on geometric relationships, logic, informal and formal proofs, properties of triangles and quadrilaterals, transformations, and volume/density. Students will be required to complete a project in each unit that will incorporate the skills and academic standards based on the unit. The project will help students deepen their conceptual knowledge of these key concepts. The process will combine the application of mathematics content with skills such as problem-solving, communication, collaboration, and critical thinking. The projects will be based on real world scenarios that are relevant to the students. Students will have to create, evaluate, apply and analyze information. These higher-level orders of thinking will provide the challenge and rigor necessary to fully engage our honors students. Students are required to take the New York State Geometry Regents in June.

Prerequisite: Determined by Algebra II and teacher recommendation

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