The Number System
I can write a brief history of numbers. (10 sentences)
I can provide three details about the number zero. (10 sentences)
I can compare the different number sets: natural, whole, integers, rational, irrational. (provide diagram with explanation as to why you chose the diagram)
- Types of Numbers by Chris Dodd
- Test yourself with types of numbers.
I can add integers. I can create a word problem which require a negative number and calculation.
- Integer Word Problems (click me first)
I can differentiate between rational and irrational number. I can explain the difference between a rational and irrational number.
I can define vocabulary terms for equations
Equations Puzzle <-- CLICK HERE 2.17.15
Equation Word Puzzle <-- CLICK HERE 2.17.15
I can simplify expressions.
- Adding Expressions <-- CLICK HERE 2.17.15
I can solve a one step equation.
Equation Game <-- CLICK HERE 2.17.15
Integers Jeopardy Game <--- CLICK HERE 2.17.15
Solving Equations with Addition and Subtraction <--- CLICK HERE 2.17.15
I can solve a two step equation.
Algebra Jeopardy <----CLICK HERE 2.17.15
How To Solve Two Step Equations
Solving Two Step Equations Practice <--- CLICK HERE 3.12.15 8b
Battle The Two Step Equations <--- CLICK HERE 3.12.15 8b
I can solve a multi-step equation.
Solve Multi-Step Equations (do 20 problems)<--Click HERE 3.12.2015 8b
Algebra Four (write 10 problems and solutions)<--Click Here 3.12.2015 8b
Radical Expressions
I can explain why the square root of a perfect number is a whole number.
I can explain the visual PROOF of a square root is a perfect number.
- Doubling the Area of a Square
I can approximate the square root of an irrational number with a rational number and correctly place it on a number line.
- Irrational Numbers on a Number Line
I can simplify rational and irrational numbers involving square roots.
I can CREATE an APPROXIMATION of irrational measurements.
- Irrational Numbers Can "In-Spiral" You (Project)
I can explain the difference between a square root and a cube root.
- Cubes and Cube Roots Worksheet
I can compare and contrast exponential growth and exponential decay.
- Real World Applications of Real World Functions
Radical Functions
I can define the term radical function.
I can calculate the domain and range of a function.
I can graph radical functions and express the given domain and range of a function.
- The Graph of a Radical Function
I can predict the location and shape of a radical function.
I can make a table of values from a radical function.
- Graphing Radicals Functions Quiz
Review all radical function information here!
Rational Exponents and Radicals
I can explain the relationship between a rational exponent and radical.
- Fractions (Rational) Exponents
I can cube root expressions.
- Cubes and Cube Roots Worksheet
- Evaluating Cube Roots of Numbers
I can simplify expressions and explain each operation.
I can define and provide a real life example of exponential growth and exponential decay.
- Exponential Growth (rational exponent) and Decay (radical)
- Wheat and Chessboard Problem (exponential growth)
I can simplify expressions with exponents. (includes operations between exponents)
-Rule6: When a exponent is zero the expression will equal 1.
-Rule5: Negative exponents are not allowed.
-Rule1: When multiplying expressions with the same base, add exponents.
-Rule2: When dividing expressions with the same base, subtract exponents.
-Rule3: When powering an expression, multiply the exponents.
-Rule4: Distribute the exponential power when possible.
I can describe and provide examples of functions and non functions.
What is a function? (Write summary of video)
What is a function? (Write summary of video)
I can graph a linear, exponential, and a radical function.
- Graphing a Radical Function (graph y=root x)
- Graphing an exponential (quadratic) function (graph y=x squared)
- Graphing a linear function (graph y = x)
I can compare a linear, exponential and radical graph employing the following words: maximum, minimum, intervals, intercept, domain, range, increasing, decreasing, symmetry, positive, negative, x-values, y-values.
Describe the following graph: y = x
Describe the following graph: y = x to the second power
Describe the following graph: y = radical x
Use at least 3 technical words for each graph.
I can describe my family tree in (linear, exponential, radical) terms.
Describe your family tree in linear, exponential, or radical terms. Write a summary of your family tree. Three points for every mathematical term you use.
Create a design of a common household item in mathematical terms.
I can explain how the graph of y = x, y = x^2 and y = root x
shifts up, down, left or right.
Function Transformation / Translations
Vertical and Horizontal Shifts of Quadratic Graphs
Graph on your own sheet of graph paper the following equations:
Write a paragraph explaining y = x
the changes to y = x. y = x + 5
y = x - 5
Graph the following equations: y = (x^2)
Write a paragraph explaining y = (x^2) + 5 y = (x^2) - 5
the changes to y = x^2. y = (x+ 5)^2 y = (x - 5)^2
Graph the following equations: y = sqrt x
Write a paragraph explaining y = (sqrt x) + 5 y = (sqrt x) - 5
the changes to y = sqrt x. y = sqrt (x + 5) y = sqrt (x + 5)
Graph the following equations: y = 5x y = 1/5 x
Write a paragraph explaining y = 5x^2 y = 1/5 x^2
the changes by multiplying. y = 5sqrt x y = 1/5 sqrt x
I can recognize that y=x^2 and y=sqrt x are symmetrical, reflected upon y=x.
Graph three lines on the same graph paper: y=x^2, y=sqrt x, y=x.
I can identify the terms m and b in a given equation.
I can graph a linear equation given the format y = mx + b.
graphing slope intercept form video
I can graph a linear equation given the form Ax+By = C
I can write an equation of a line given two points. I can explain the pattern using mathematical terms.
SPRING SEMESTER
I can recognize and explain the difference between an expression and an equation.
- Expressions, Equations, Formulas (write down a summary of the video)
I can identify different parts of an expression and equation
- Parts of an EXPRESSION (copy notes from video)
I can simplify expressions involving: integers, decimals, fractions and percents.
- Adding Decimal Games (Write down 10 problems and answers from 5 sites)
- Adding Expressions <-- 2.17.15
I can simplify equations involving: integers, decimals, fractions and percents..
Equation Games (Write down 10 problems AND answers from 5 sites)
Math Jeopardies (Write down 10 questions AND answers from 5 sites)
I can RECOGNIZE and ADD like terms.
I can add expressions involving linear terms.
Section 1.7 Simplifying Expressions (notes and do problem solving)
I can add expressions involving exponential terms.
Section 7.6 Adding and Subtracting Polynomials (notes and problem solving)
BattleShip For Polynomials - Adding and Subtracting
I can add expressions involving radical terms.
Section 11.6 Adding and Subtracting Radicals (notes and problem solving)
I can apply expressions in linear, quadratic or radical terms. (notes and problem solving)
Throwing Horseshoes (group task)
Animal Populations (group task)
I can recognize equivalent expressions.
Equivalent Expressions (notes and problem solving)
I can MULTIPLY expressions (monomials).
Distribution Property
POWERS CONCENTRATION GAME. (write down matches)<-- 2.17.15
I can MULTIPLY expressions (binomials, trinomials, polynomials).
F.O.I.L (method for multiplying binomials)
Multiplying Polynomials Calculator
I can DIVIDE expressions.
Write 10 Problems.
Write 10 Problems.
Write 10 Problems.
Write 10 Problems.
Write 10 Problems.
Write 10 Problems.
I can recognize common factors.
8.1 Factors and Greatest Common Factors
I can recognize and divide a greatest common factor.
Finding The GCF Game <-- 2.17.15
I can factor a polynomial without a leading coefficient.
Factoring Game <--- 2.11.2014 Click Here Third
I can factor a polynomial with a leading coefficient.
Factoring Game <-- 2.11.2014 Click Here First
Factoring Game <-- 2.11.2014 Click Here Second
How To Factor Quadratic Expressions
I can recognize and factor SPECIAL products.
8.5 Factoring Special Products
I can differentiate different factoring methods.
8.6 Choosing a Factoring Method
Factoring by Grouping <--2.17.15
Reviewing Expressions Website Choose 10 Sections, Write 5 problems each section.
Solving Linear Equations (one variable)
I can solve linear equations in one variable.(one operation)
Equation Game (write 10 problems and answers)
Integers Jeopardy Game (write 10 problems and answers )
Solving Equations with Addition and Subtraction (write 10 problems and answers)
Algebra Meltdown <--3.12.2015 warm up FIRST. put score on white board.
I can solve linear equations in one variable.(two operations)
Algebra Jeopardy (write 10 problems and answers)
How To Solve Two Step Equations (write 10 problems and answers)
Solving Two Step Equations Practice (write 10 problems and answers)
Battle The Two Step Equations (write 5 problems/answers)<--3.12.2015 +10 if win in hard
Number Balls Algebra 1 (play 10 times, write down scores)
I can solve equations whose solutions require expanding expressions using the distributive property and collecting like terms. (three or more operations)
Solve Multi-Step Equations (write 5 problems)<--3.12.2015 put score on white board
Algebra Four (write 10 problems and solutions) <--3.12.2015 +5 to winner.
Magic Number: Writing and Solving Equations (show math to end up at answers)
Solving Linear Equations (copy down problems and steps to solve them)
I can solve linear equations with rational number coefficients.
Solving Fractional Equations (write 3 problems)
Eliminating Fractions (1 paragraph summary)
Solving Equations with Fractions (write 3 problems)
I can create a word problem and translate it to an equation. 3.18.15
Algebra Word Problem (Copy down, solve)
I can create a real life situation for an equation. 3.12.15, 4.2.15
--Linear equations word problem
--Linear equations word problem
--Integer Word Problems (1pt for each 5)<--FIRST 4.2.15
--Linear Equations In One Variable (1pt for each 5, SOLVE IN NOTEBOOK)<--2nd 4.2.15
--Translating Word Problems Into Equations (skip #2)<--3rd 4.2.15
--Linear equations: Word Problem Exercises (solve problems with partner) <--4th 4.2.15
--Algebra Word Problem (Solve word problem, submit)
--Solving Equations Packet (Do worksheets on packet, submit)
--Applications of Solving Equations (copy down questions and answers)
--Solve Word Problems by Solving Equations with One Variable (copy down example and answer)
ZOO PROJECT
ZOO Project <--4.27.15
Zoo Website <--4.27.15
Relating equations with area and perimeter.
--Area Builder (Copy down summary (at least one paragraph) of discoveries)
I can apply linear equations to find a SPRING CONSTANT.
Springs Software <-- 4.13.15
Graphing Lines <--4.14.15
Hooke, Line, and Springer Prezi
Solving Linear Equations (two variables)
I can calculate a solution set for a given equation.
Graph Equation With Steps (graph 5 equations)
I can translate a linear graph into information.
Equations, Function Tables, and Graphs
New Year
I can choose a number significant to me.
I can quantify (almost) everything.
The Great Math Mystery (Watch video. Write 200 words on your thoughts about it.)
Solving Linear Systems (two variables)
I can solve a system of linear equations through graphing.
I can solve a system of linear equations through substitution.
I can solve a system of linear equations through elimination.
I can solve a system linear equations in two variables (system).
Systems of Equations Jeopardy (write 10 problems)
I can solve a system of linear equations in word problems.
Word Problem Exercise: Linear Equations
Applied Practice with System of Linear Equations
System of Equations Word Problems
System of Equations Word Problems Kuta Software
Ignore anything below this.
Functions
Day 1
Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions).
Students compared and contrasted information given through four different graphs.
Day 2
Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions).
Students compared and contrasted information given through four different graphs. They are able to explain what is occurring given a graph and the axis labels.
HW: Create your own graph + story on a Simpson's character of your choice.
Day 3
Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions).
Students are able to describe a graph in qualitative terms.
HW: Create a life chart. The x - axis will represent time, and the y - axis will represent emotions.
Day 4
HW: Graph and story of a race involving five competitors.
Day 5
Standard: Define, evaluate, and compare functions.
Students match stories to graphs. They prove why certain stories match with certain ones. In groups, they create a poster for a given graph.
HW: THREE Graphs and stories of any situation you want.
Quiz tomorrow! (Can you remember what we did last week?)
Day 6
Students take quiz.
quiz link:
Day 7
Standards: Define, evaluate, and compare functions.
Use functions to model relationships between quantities.
Students do problems relating to graphs.
p203 (1-21) odds Skip #17
Day 8
Interpreting Functions: Interpret functions that arise in applications in terms of the context.
Analyze functions using different representations.
Students read a story and write a graph about it.
Students do problems relating to graphs.
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