I can categorize numbers into different type sets and compare number sets.
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.
(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 apply integer operations to real world situations.
I can add integers. I can apply integers to real world problems. (5 real world problems)
- Integer Word Problems (click me first)
- Integers Practice (DO THIS NOW!)
I can describe situations in which opposite quantities combine to make 0.
I can show that a number and its opposite have a sum of 0 (are additive inverses).
I can represent addition and subtraction on a horizontal or vertical number line diagram.
Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram.
I can compare a fraction and a ratio using diagrams.
- Understand the difference between a ratio and a fraction
I can compare a fraction/ratio and recognize the larger quantity.
- Placing Fractions On A Number Line
I can simplify rational numbers.
I can add and subtract rational numbers.
I can add/subtract rational numbers in real life situations.
I can multiply and divide rational numbers.
Interpret sums of rational numbers by describing real-world contexts.
1a. Describe situations in which opposite quantities combine to make 0.
1b. Understand p+ q as the number located a distance |q| from p in the positive or negative direction depending on whether q is positive or negative.
1c. Show that a number and its opposite have a sum of 0 (are additive inverses).
1d. Interpret sums of rational numbers by describing real-world contexts.
1e. Understand subtraction of rational numbers as adding the additive inverse, p–q=p+(–q).
1f. Show that the distance between two rational numbers on the number line is the absolute value of their difference.
1g. Describe real-world contexts in which the distance between two rational numbers on the number line is the absolute value of their difference.
1h. APPLY the fact that the distance between two rational numbers on the number line is the absolute value of their difference.
Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.
2a. Understand that multiplication is extended from fractions to rational numbers by requiring that operations continue to satisfy the properties of operations, particularly the distributive property, leading to products such as (–1)(–1) = 1 and the rules for multiplying signed numbers.
2b. Interpret products of rational numbers by describing real-world contexts.
2c. Understand that integers can be divided, provided that the divisor is not zero, and every quotient of integers (with non-zero divisor) is a rational number.
2d. If p and q are integers, then –(p/q)=(–p)/q=p/(–q).
2e. Interpret quotients of rational numbers by describing real world contexts.
2f. Apply properties of operations as strategies to multiply and divide rational numbers.
2g. Convert a rational number to a decimal using long division; know that the decimal form of a rational number terminates in 0s or eventually repeats.
Solve real-world and mathematical problems involving the four operations with rational numbers.
I can convert any rational number into fraction, decimal or percent.
- Fraction, Decimal, Percent Converter
I can compare any rational number to another rational number.
- Order Rational Numbers in Ascending Order
I can evaluate expressions involving rational numbers an five operations.
- PEMDAS SONG (with lesson) Order of Operations
I can research a question and provide data in a rational form.
I can solve percent problems.
NEW SEMESTER
Students are developing understanding of operations with rational numbers and working with expressions.
WORKING = SIMPLIFYING, ADDING, MULTIPLYING,
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 algebraic expression.
- Parts of an EXPRESSION (copy notes from video)
I can simplify algebraic expressions involving: integers, decimals, fractions and percents.
ADDING
- Section 1.7 Simplifying Expressions (copy notes and do problems)
- Section 7.6 Adding and Subtracting Polynomials (copy notes and do problems)
- Adding Decimal Games (Write down 10 problems and answers from a site)
- Adding Expressions <-- 2.17.15
I can MULTIPLY expressions. (monomials)
Power and Exponents (show me notes from presentation)
Integer Exponents (show me notes from presentation)
Exponents in the Real World (one paragraph)
Real Life Applications of Exponents (one paragraph)
Visit Website, Click on POWERS CONCENTRATION GAME. (write down matches)<-- 2.17.15
I can MULTIPLY expressions. (polynomials)
F.O.I.L (method for multiplying binomials)
Multiplying Polynomials Calculator
I can recognize equivalent expressions and interpret them.
I can simplify expressions 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) <-- 2.11.15
I can factor an expression.
WRITE DOWN 10 PROBLEMS.
I can recognize common factors.
WRITE DOWN 10 PROBLEMS.
8.1 Factors and Greatest Common Factors
I can recognize and divide a greatest common factor.
SIMPLIFYING EXPRESSIONS AND EQUATIONS PROJECT
Analyze and solve linear equations and pairs of simultaneous linear equations.
LINEAR EQUATIONS WITH ONE VARIABLE!
I can solve linear equations in one variable. (one operation) 3.9.15, 3.10.15
--Equation Game (write 10 problems and solutions)
--Integers Jeopardy Game (write 10 problems and solutions)
--Solving Equations with Addition and Subtraction (write 10 problems and solutions)
--Solving One Step Equations Using Division
I can solve linear equations in one variable. (two operations) 3.11.15
==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)
==Battle The Two Step Equations (write 10 problems and solutions)<--Click Here First 3.23.15
I can solve linear equations in one variable. (many operations) 3.16.15
I can solve equations whose solutions require expanding expressions using the distributive property and collecting like terms. 3.17.15
==Solve Multi-Step Equations (do 20 problems and write solutions)
==Chipmunk and Squirrels (click and solve one problem)
==Teach Me How to Solve It (Equations) (write one paragraph on video)
==Equation Calculator (input 10 equations and write their solutions)
==Algebra Four (write 10 problems and solutions)<--Click Here Second 3.23.15
I can solve linear equations with no real number solutions or all real number solutions. 3.23.15
==Solving Equations No Solution and Identity
==Identities and Equations with No solution <-- Click Here Third 3.23.15
I can create a word problem and translate it to an equation. 3.18.15
I can create a real life situation for an equation. 3.12.15, 4.2.15, 4.3.15, 4.4.15
--Linear equations word problem
--Linear equations word problem
--Integer Word Problems (solve problems with partner)<--FIRST 4.2.15
--Translating Word Problems Into Equations (skip #2)<--2nd 4.2.15
--Linear equations: Word Problem Exercises (solve problems with partner) <--3rd 4.2.15
--Linear Equations In One Variable (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)
I can create models using tiles of equations and use the tiles to solve them.
Model Algebra <--4.13.15 <--4.13.15 <--4.13.15
Relating equations with area and perimeter.
--Area Builder (Copy down summary of discoveries)
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)
Solving Equations with Decimals (write 5 problems and answers) <--4.13.15 AFTERSCHOOL
I can solve a linear equation (Review).
Solving Linear Equations Booklet Rubric <--4.14.15
Solving Linear Equations <--4.14.15
LINEAR EQUATIONS WITH TWO VARIABLES!
I can graph an ordered pair on a Cartesian Plane.
Locate The Aliens 4.30.15
Coordinates Game 4.30.15
Graph Points on a Coordinate Plane 4.30.15
Whats the point? 4.30.15
I can create a table of values for a given equation.
Function Machine 4.30.15
I can create a table of values THEN graph the ordered pairs for a given equation.
I can graph an equation using y=mx+b.
Algebra Vs. The Cockroaches 5.13.15
Graphing Calculator 5.13.15
IGNORE ANYTHING BELOW THIS.
TWO LINEAR EQUATIONS
I can solve a linear equations in two variables. System of Equation
Systems of Equations Jeopardy (write 10 problems)
I can recognize a system of equations and identify the variables. System of Equations
Systems of Linear Equations applied practice. (Copy down 5 examples and answers)
I can relate mathematics to an investigation.
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.)