Properties and Formulas



Math I - Common Core State Standards - Lesson Plans by Unit

MS Math I Course At A Glance

MS Math I Course At  A Glance .docx
MS Math I Course At A Glance .docx
MS Math I Course At A Glance .docx


MS Math I Unit 1

Expressions, Order of Operations, and Scientific Notation
Unit 1 MS Math I Curriculum Guide.doc
Unit 1 MS Math I Curriculum Guide.doc
Unit 1 MS Math I Curriculum Guide.doc


MS Math I Unit 2

Expressions and Equations
Unit 2 MS Math I Curriculum Guide.doc
Unit 2 MS Math I Curriculum Guide.doc
Unit 2 MS Math I Curriculum Guide.doc

Math 1 Unit 2 Resources


MS Math I Unit 3

Functions and Their Graphs Part 1
Unit 3 MS Math I Curriculum Guides.doc
Unit 3 MS Math I Curriculum Guides.doc
Unit 3 MS Math I Curriculum Guides.doc

Math 1 Unit 3 Resources


MS Math I Unit 4 (Descriptive Statistics)

Unit 4 MS Algebra-I.docx
Unit 4 MS Algebra-I.docx

Unit 4 MS Algebra-I.docx

MS Math I Unit 5 (Systems of Linear Equations and Inequalities)

Unit 5 MS Algebra-I.docx
Unit 5 MS Algebra-I.docx

Unit 5 MS Algebra-I.docx

MS Math I Unit 6 (Polynomials)

Unit 6 MS Algebra-I.docx
Unit 6 MS Algebra-I.docx

Unit 6 MS Algebra-I.docx

MS Math I Unit 7 (Functions and Their Graphs)

Unit 7 Functions and Their Graphs.docx
Unit 7 Functions and Their Graphs.docx

Unit 7 Functions and Their Graphs.docx

MS Math I Unit 8 (Connecting Algebra and Geometry)

8th Grade Algebra I Unit 8 Pythagorean Theorem Distance Midpoint.docx
8th Grade Algebra I Unit 8 Pythagorean Theorem Distance Midpoint.docx

8th Grade Algebra I Unit 8 Pythagorean Theorem Distance Midpoint.docx
Units 0 through 6 - 2015-2016 - Algebra( Independent Study topics are covered in daily warm-ups)Reminder: K(now) - L(earned) - W(hat do you need help with?), math weekly math reflection is due every Friday!

01- Linear Equations and Proportions
Review 7th Grade Concepts (Independent Study)
E.O.G. Daily warm-ups Chapter 1 ---> Order of operations, distributive property, Real number and Complex number systems
E.O.G. Daily warm-ups Chapter 2 ---> Solving Equations, ratios, proportion and percents
E.O.G. Daily warm-ups Chapter 3 ---> Solving Inequalities and Absolute value equations
E.O.G. Daily warm-ups Chapter 4 ---> Introduction to Functions

1- Functions and Their Graphs- Part I
September:
Chapter 5 ---> Linear Functions

2- Systems of Equations and Inequalities
October:
Chapter 9 ---> Quadratic Functions
Chapter 6 ---> Systems of Equations and Inequalities

3= Descriptive Statistics- Line of Best Fit - Non- Linear - Quadratic - Exponential
October:
Chapter 5 Continued; use of TI-84 --- > Line of best fit ---> how close the points cluster around a straight line

1) Collect data - to find the relationship between two variables (x,y - input, output,- hours studied, test grades in math over 3 months period); data can be found in tables,graphs, ordered pairs, word problems, equations --> function rules and mapping.

2) Analyze it ( find the slope = m = k=a = delta y/ delta x ---> change in the second coordinates/ change in the first coordinates,
dependent/ independent, vertical / horizontal ---> per unit - per month, each mile, daily ... etc.;
then find the y-intercept = b; always a fixed amount that indicates the starting point of any relationship between input and output (x,y).

3) Predict how reliable is the model in order to be used in future events ( information that is not available); positive correlations, negative, none; examine the residuals r^2 to determine the reliability of the model; +/- 1 = Perfect relationship, which means all points are on the line; the closer to +/- on the number line =.96 or -.96 , the better fit is the model or the model can be used to predict future and or past events.

December:
Chapter 12 ---> Data Analysis and Probability (12-1 through 12-5) - (Independent Study) during winter break

4- Expressions and Equations
January:
Chapter 10 ---> Radical Expressions and Equations
February:
Chapter 11 ---> Rational Expressions and Functions

5- Functions and Their Graphs - Part II
November:
Chapter 8 --> Add-subtract-multiply polynomials -- Factoring
Review:
Chapter 5 ---> Linear Y = m x + b
Review:
Chapter 9 ---> Quadratic Y = ax^2 + bx + c



Trig. Video
Standard Deviation - Statistics

Linear Programming
December:
Review: Chapter 7 ---> Exponential Growth and Decay Y = a b^x; geometric sequence and arithmetic sequence

6- Connecting Algebra and Geometry through Coordinates
E.O.G. Daily - warm-ups --> Integrating algebra and geometry
November - December ---> Area and Volume ( Areas of polygons and Circles - Surface Area - Volume)
Continued in December ---> Lines and Angles ( points, lines, planes and angles, reasoning and proof, parallel and perpendicular lines)
January - February ---> Quadrilaterals and Circles ( Quadrilaterals - Transformations and Circles)
Continued in February ----> March --> Triangles ( Congruent, relationships in triangles, proportion and similarity, right triangles and trigonometry)
Continued in March - April ---> E.O.G / E.O.C. Practice Tests / warm-ups / Project Based Learning for selected functions.

Essential Knowledge for Success

1- Released Practice Test - E.O.C. Math I
(Algebra I/Integrated I)

2- Released Practice Test - E.O.G. Math 8

2a- Release E.O.G. Solutions - Study Guide

3- Released Practice Test - E.O.G. Math 7

4- Gridded Response Answer Sheet - Sample
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Common Core Mathematics I

Group work, K.L.W. (Writing in Mathematics), participation and projects.

Common Core Math I Pacing At a Glance
Week
Objective -
Math I (HS Credit)
1
Review solving equations and Inequalities
2
Linear Functions, Writing Equations, Parallel and Perpendicular Lines
3
Polynomials / Factoring
4
Polynomials / Factoring
5
Systems of Quadratic/ Linear / Exponential - C.C.S.S.
6
Quadratic Patterns
7
Exponential patterns – Growth and Decay
8
Quadratic Functions - Patterns
9
Exponential Functions – Growth and Decay
10
Radicals, Pythagorean Theorem, distance, Midpoint , Trigonometric Ratios
11
Area, Volume, Circumference, Perimeter, Surface Areas
12
Statistics – Distributions, Histograms, Box and Whisker Plots, Standard Deviation, Frequency Tables
13
Patterns – Linear, Quadratic, Exponential, Inverse, Common Core Investigations
14
E.O.G. Review 8th / 7th Grades
Algebra
Data and Probability
Geometry and Measurement
Number

15
E.O.G. Review 8th / 7th Grades
16
E.O.C. - Final Exams Review – NC State Sample Test Items, Discovery Education
17
E.O.C. - Final Exams- Review - NC State Sample Test Items, Discovery Education
18
Final Exams





Weight Distributions for Math I Assessment (E.O.C.)

Number and Quantity

5–10%

Algebra

22–27%

Functions

35–40%

Geometry

10–15%

Statistics and Probability

15–20%