Content Topics

 

Unit 1

Mathematical Basics

 

Unit 2

Integers

 

Unit 3

Equations

 

Unit 4

Introduction to fractions.

 

Unit 5

The four mathematical operations used with fractions

 

 

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Standards Alignment:

National Standards:

NCTM 6-8.NOP.1.c: Develop meaning for percents greater than 100 and less than 1.

NCTM 6-8.NOP.1.e: Develop an understanding of large numbers and recognize and appropriately use exponential, scientific, and calculator notation.

NCTM 6-8.NOP.1.f: Use factors, multiples, prime factorization, and relatively prime numbers to solve problems.

NCTM 6-8.NOP.1.g: Develop meaning for integers and represent and compare quantities with them.

NCTM 6-8.NOP.2.a: Understand the meaning and effects of arithmetic operations with fractions, decimals, and integers.

NCTM 6-8.NOP.2.b: Use the associative and commutative properties of addition and multiplication and the distributive property of multiplication over addition to simplify computations with integers, fractions, and decimals.

NCTM 6-8.NOP.3.a: Select appropriate methods and tools for computing with fractions and decimals from among mental computation, estimation, calculators or computers, and paper and pencil, depending on the situation, and apply the selected methods.

NCTM 6-8.CON.3: Recognize and apply mathematics in contexts outside of mathematics.

NCTM 6-8.PRS.1: Build new mathematical knowledge through problem solving.

NCTM 6-8.PRS.2: Solve problems that arise in mathematics and in other contexts.

NCTM 6-8.ALG.2.c: Use symbolic algebra to represent situations and to solve problems, especially those that involve linear relationships.

NCTM 6-8.ALG.2.d: Recognize and generate equivalent forms for simple algebraic expressions and solve linear equations.

 

PA State Standards:

M8.A.1.1.1: Represent numbers using scientific notation and/or exponential forms.

M8.A.1.1.2: Find the square or the cube of a whole number (single digit) and/or the square root of a perfect square (without a calculator) and explain the relationship between the two.

M8.A.2.1.1: Simplify numeric expressions involving integers, using the order of operations.

M8.A.3.3.1: Add, subtract, multiply and /or divide integers, fractions and/or decimals with and without a calculator.

M8.D.2.1.3: Determine the value of an algebraic expression by simplifying and/or substituting a number for the variable.

M8.D.2.1.1: Solve one or two-step equations and inequalities.

M8.D.2.1.2: Use substitution to check the accuracy of a given value for an equation or inequality.

M8.D2.2.1: Match a written situation to its numeric and/or algebraic expression, equation or inequality.

M8. D.2.2.2: Write and/or solve an equation for a given problem situation.