I can write a brief history of numbers. (10 sentences)
I can provide three interesting 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.
- Integer Word Problems (click me first)
I can make conclusions about the relationship between rational and irrational numbers.
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 exponents. (includes operations between exponents)
-When a exponent is zero the expression will equal 1.
-Negative exponents are not allowed.
-When multiplying expressions with the same base, add exponents.
-When dividing expressions with the same base, subtract exponents.
-When powering an expression, multiply the exponents.
-Distribute the exponential power when possible.
I can identify the parts of a radical expression.
I can approximate a square root expression.
I can simplify a radical expression.
I can simplify a radical expression containing variables.
I can add and subtract radical expressions containing variables.
- Adding (and Subtracting) Square Roots
I can multiply radical expressions including binomials.
- Multiplication / Division of Radicals
I can cube root expressions.
- Cubes and Cube Roots Worksheet
- Evaluating Cube Roots of Numbers
- CAHSEE Math Problems (exponents, pg 51-82)
I can explain the relationship between a rational exponent and radical.
- Fractions (Rational) Exponents
- Radicals and Rational Exponents
I can evaluate a rational exponent or a radical expression.
- Simplifying Radicals Using Rational Exponents
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
Radical Functions and Transformations
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 interpret parts of an expression, such as terms, factors and coefficients.
1.7 Simplifying Expressions (take notes and complete problems)
I can add polynomials.
7-6 Adding and Subtracting Polynomials (take notes and complete problems)
BattleShip For Polynomials - Adding and Subtracting <--- 2.17.2015 Click Write Problems
Polynomials: Adding & Subtracting c<--- Click Do 10 problems
I can multiply polynomials.
MULTIPLYING (monomials)
7.3 Multiplication and Properties of Exponents
MULTIPLYING (polynomials)
Five points for explaining any of the simplifications found on this worksheet.
Two points for explaining any of the simplifications found on this worksheet.
F.O.I.L (method for multiplying binomials) (take notes)
Multiplying Polynomials Calculator (write 10 problems and their solutions)
I can write expressions in equivalent forms to solve problems.
Animal Populations (complete worksheet, following instructions)
Throwing Horseshoes (complete worksheet, follow instructions)
I can use the structure of an expression to identify ways to rewrite it.
Visit THIS link. Complete 2 of the given tasks. (AB, Start Here)
I can read an algebraic expression.
Matching Verbal and Algebraic Expressions <--- 2.17.2015 Click
Matching Algebraic Expressions with Word Phrases <--- 2.17.2015 Click
I can recognize common factors.
8.1 Factors and Greatest Common Factors Copy 10 Problems
I can recognize and divide a greatest common factor.
8.2 Factoring by GCF Copy 10 Problems
Factoring: Greatest Common Factor Video Copy 3 Problems From Video
I can factor a polynomial without a leading coefficient.
8.3 Factoring x2 + bx + c Copy 10 Problems
I can factor a polynomial with a leading coefficient.
8.4 Factoring ax2 + bx + c Copy 10 Problems
Factoring Game (Who wants to be a millionaire?) <-- 3.12.2015 Click Here Write 5 Problems
Factoring Game (Timed) <-- 3.12.2015 Click Here Write 5 Problems
Factoring Game (The Wrecks Factor) <-- 3.12.2015 Click Here Write 5 Problems
Factoring Calculator Bottom of Page
Multiplying Game (Ulises and Mario)
Chatzy Link <-- 3.12.2015. Click Here
I can recognize and factor SPECIAL products.
8.5 Factoring Special Products
Factoring: Perfect Trinomials (copy down five problems & answers)
I can differentiate different factoring methods.
8.6 Choosing a Factoring Method (copy down five problems & answers)
I can simplify an expression by: adding, subtracting, multiplying(distributing), and dividing (factoring).
I can solve linear equations in one variable and one operation.
Equation Game (write 10 problems and solutions) <--CLICK HERE 3.18.15
Integers Jeopardy Game (write 10 problems and solutions)
Solving Equations with Addition and Subtraction (10 problems/solutions) <--CLICK HERE 3.18.15
I can solve linear equations in one variable and two operations.
Algebra Jeopardy (write 10 problems and solutions)
How To Solve Two Step Equations (write 10 problems and solutions)
Solving Two Step Equations Practice (write 10 problems and solutions) <--CLICK HERE 3.18.15
Battle The Two Step Equations (write 10 problems and solutions) <---CLICK HERE 3.23.15
I can solve equations whose solutions require expanding expressions using the distributive property and collecting like terms.
Solve Multi-Step Equations (do 20 problems and solutions)<-- CLICK HERE 3.23.15
Chipmunks and Squirrels (copy and write a paragraph of how to solve it)
I can recognize equations that have ONE answer, TWO answers, NO answer, MANY answers.
Identities and Equations with No solution (copy down 10 questions & answers)<--CLICK HERE 3.23.15
I can solve linear equations with rational number coefficients.
Solving Fractional Equations (write 3 problems and solutions)
Eliminating Fractions (1 paragraph summary)
Solving Equations with Fractions (write 3 problems)
I can create word problems that can be solved with a linear equation.
--Integer Word Problems (copy down 5 examples and solve)<--FIRST 4.2.15
--Linear equations: Word Problem Exercises (Copy down 5 examples and answers) <--3RD 4.2.15
--Algebra Word Problem (Solve word problem, submit)
--Solving Equations Packet (Do worksheets on packet, submit)
--Translating Word Problems Into Equations (copy/solve problems at bottom)<--SECOND 4.2.15
--Applications of Solving Equations (copy down questions and answers)
--Solve Word Problems by Solving Equations with One Variable (copy down example and answer)
I can create models using tiles of equations and use the tiles to solve them.
Model Algebra <--4.14.15 <--4.14.15 <--4.14.15
Coming Soon!
I can solve a linear equations in two variables.
IGNORE ANYTHING BELOW THIS.
I can describe the effects of an exponent and a radical.
-
I can convert a rational exponent to a radical.
I can simplify radicals or rational exponents.
- Rational Exponents and Radical Functions
Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational.