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Math 2 advanced: 7th grade                                                                    What is pre-algebra?

In Volusia county we structure courses by Common Core State standards. We used to use Florida's Next Generation Sunshine State Standards and associated benchmarks. YOU WILL TESTED THIS YEAR ACCORDING TO NGSSS.

We divide the courses by Essential Questions. The Essential Questions are then divided by Measurement Topics which are then outlined with learning targets.

Unit One: Rational Numbers

Essential Question(s): In what ways can rational numbers be useful?

MACC.8.NS.1.1:
Know that numbers that are not rational are call irrational. Understand informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a decimal expansion which repeats eventually into a rational number.		  classify a number as a rational or irrational based on its decimal expansion.
 convert a repeating decimal into a rational number
MACC.8.NS.1.2:
Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions (e.g. π2).		  use reasoning to determine between which two consecutive whole numbers a square root will fall
 plot the estimated value of an irrational number on a number line
 estimate the value of an irrational number by rounding to a specific place value
 apply estimated values to compare two or more irrational numbers
MA.7.A.3.2
Add, subtract, multiply, and divide integers, fractions, and terminating decimals, and perform exponential operations with rational bases and whole number exponents including solving problems in everyday contexts.		  perform operations; addition, subtraction, multiplication and division of integers, fractions, and terminating decimals.
 perform exponential operations with rational bases and whole number exponents.
 solve real-world problems that include exponential operations

Unit Two: Exponents

Essential Question(s): How can algebraic expressions and equations be used to model, analyze, and solve mathematical situations?

MACC.8.EE.1.1:
Know and apply the properties of integer exponents to generate equivalent numerical expressions		  determine the properties of integer exponents by exploring patterns and applying my understanding of properties of whole number exponents
 apply the properties of integer exponents to simplify expressions
MACC.8.EE.1.2:
Use square root and cube root symbols to represent solutions to equations of the form x2 = p and x3 = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that √2 is irrational		  recognize taking a square root as the inverse of squaring a number
 recognize taking a cube root as the inverse of cubing a number
 evaluate the square root of a perfect square
 evaluate the cube root of a perfect cube
 justify that the square root of a non-perfect square will be irrational
MACC.8.EE.1.3:
Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities, and to express how many times as much one is than the other.		  write an estimation of a large quantity by expressing it as the product of a single-digit number and a positive power of ten
 write an estimation of a very small quantity by expressing it as the product of a single-digit number and a negative power of ten
 compare quantities written as the product of a single-digit number and a power of ten by stating their multiplicative relationships
MACC.8.EE.1.4:
Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. Use scientific notation and choose units of appropriate size for measurements of very large or very small quantities (e.g., use millimeters per year for seafloor spreading). Interpret scientific notation that has been generated by technology		  add and subtract two numbers written in scientific notation
 multiply and divide two numbers written in scientific notation
 select the appropriate units for measuring derived measurements when comparing quantities written in scientific notation
 identify and interpret the various ways scientific notation is displayed on calculators and through computer software

Unit Three: Expressions and Equations

Essential Question(s): How can algebraic expressions and equations be used to model, analyze, and solve mathematical situations?

MACC.7.EE.2.3
Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies.		  Simplify an expression following and using the order of operations.
 determine and explain the solution of an equation.
MACC.7.EE.2.4
Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.
A. Solve word problems leading to equations of the form px + q = r and p(x ÷ q) = r, where p, q, and r are specific rational numbers.
B. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach.		  use a variable to represent a unknown quantity.
 develop an understanding representing linear inequalities in one variable.
 construct and solve simple equations and inequalities.
 solve simple equations and inequalities fluently.
 apply the concepts to set up equations and inequalities in problem solving situations.
 graph an inequality on the number line.
 work with the properties of used to solve linear equations.
 develop an understanding of linear inequalities in one variable.
 develop an understanding of linear inequalities in one variable.
MA.7.A.5.2
Solve non-routine problems by working backwards.		  solve two-step linear equations, including equations with rational coefficients using different strategies and solve non-routine problems working backwards.

 

Here are the old Essential Questions for the math 2 adv course:

Our work will include: 

links on this site

Exponential notation           Percent            converting fractions and decimals        7th grade FCAT sample test (2.0)

pre algebra sample questions        rates and proportions

greatest common factor        least common multiple        prime factorization

 Introduction to rules for using exponent

 

links off-site

brightstorm.com

khanacademy.org

webmath.com        aaamath.com                        www.mathway.com/              math.com/students/homeworkhelp.html

 

algebrahelp.com            algebra.com