Math- 8 Core Map Quarter 1
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The Number System, Expressions and Order of Operations Order of Operations Classify Real Numbers Powers and Exponents Multiply and Divide Monomials Zero Exponent Negative Exponent Scientific Notation Computing in Scientific Notation Roots Roots of perfect squares Roots of non-perfect squares Comparing Real Numbers
Solving Equations Examine properties of real numbers and their use in solving equations Solving Equations with Rational Equivalence Solving Two-step Equations Write Two-Step Equations Solving Equations with variables on both sides Solving Multi-Step Equations Determining the equations with all or no solutions Cubed and Square Root Equations
Linear Equations Cartesian, coordinate plane Examine standard form of Linear Equation Determine independent and dependent variables Solving for y-in terms of x Solving for missing coordinates given a linear equation Graphing lines, from list of points (either given or found using equation) Determine slope of line from graph (given any points on the line or graphed) Determining slope from two sets of coordinates (using slope formula) Notice parallelism with equivalent slopes Examine the no and zero slope linear equations Finding the missing coordinate given the slope, a pair of coordinates and one other coordinate Slope triangles Examining the intercepts Writing equations of lines using slope and y-intercept Graphing lines, given slope and y-intercept Graphing lines, given the equation of a line in slope-intercept form Determining and interpreting intercepts-graphically and algebraically |
Quarter 1 |
The Number System, Expressions and Order of Operations Variables and Expressions Difference between Expressions and Equations Using Substitution Property of Equality to evaluate expressions Order of Operations with Rational numbers Order of Operations with Absolute Value Groups Order of Operations with fractions (Numerator and Denominator -groups) Reading Algebraic Expressions (use opposite for negations) Evaluating Expressions using Substitution Property of Equality Complex fractions within Expressions The Number Systems and their subsets Classifying numbers as Rational and Irrational Stating the sets of Real Number sets a number belongs to Recognizing Powers Recognizing the base of powers Distinguishing the difference between a negative base and a negated power Expanding powers Determining the sign of a negative power base to even or odd exponents Understanding the directives when asked to either evaluate, simplify, write results using powers Explore the employ the product rule with powers of the same base Explore and employ power to exponent rule Explore and employ quotient rule with powers of the same base Multiplying monomials using Laws of Exponents Finding quotients with numerical coefficients and using Laws of exponents Discovering the meaning of the zero exponent Simplifying expressions with exponents Demonstrate use of commutative and associative properties evaluating expressions with exponents Discover the meaning of negative exponents Using Product, Quotient and Power Laws of exponents with negative exponents Rewriting products and quotients as powers with positive exponents Evaluating expressions with complex fractions Expanding numbers with sums of powers of ten with integer exponents Writing numbers in scientific notation from standard form Writing numbers in standard form from scientific notation Comparing numbers in scientific notation Computing products in scientific notation Computing quotients in scientific notation Computing sum and differences in scientific notation Real life situations computing in scientific notation Squares and Square Roots Cubes and Cube Roots Estimating square roots of non-perfect squares Determining which two consecutive integers a root falls between Comparing and ordering real numbers Determining the roots of perfect squares and perfect cubes Estimate the value of roots on non-perfect squares and roots Density Property
Equations Examining equivalence Solving for the solution that makes the math statement true Literal Equations Rewriting Formulas Geometric applications of solving equations Determine the value of the missing coordinate of a given linear equation Plot line from a list of coordinates Determine slope of line from the graph and from two points Determine slope using slope formula Discerning slope and y-intercept from graph Explore the x and y intercepts and what their corresponding coordinates are Interpreting the x and y intercepts Reading slope and intercept from equation and graphing from equation Writing linear equations in standard and slope intercept form
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The Number System, Expressions and Order of Operations How do we calculate the value of expressions that contains multiple operations? What happens when you add, subtract, multiply and divide numbers? How do we classify real numbers? How do we define rational and irrational numbers? Why is it useful to write numbers in different ways? How can you use exponents to write numbers? How can we multiply/divide powers with the same base? How do we define the zero and negative exponent? How do you read numbers written in scientific notation? How can we compute numbers written in scientific notation? How do we use scientific notation in the real world? How can we determine sides of a square when given the area? Why and when do you need to use cube and square roots? Where are irrational numbers on the number line? Between any two numbers on the number line, are their other real numbers?
Equations What is equivalence? How do we determine the values that make two expressions equivalent? What properties maintain equivalence? How can you solve a multi-step equations? How can you be sure your solution is reasonable? Can we determine the correctness of our solution, how? Can we solve equations with variables on both sides? Why would we need to rewrite formulas? How can we find points on a line given the equation of the line? Can we determine errors in solving equations from plotted points found from the same linear equation? Can we predict another point on the line, without using the equation, once we know three points on the line? Can you determine if lines are parallel from their slopes? What must we consider when a line has no run, or no rise? How can you recognize a linear equation? How do the solutions to a linear equation relate to the line? How can we use the slope of a line to describe the line? Can we rewrite equations of lines to reveal information about the line? Would a point not on the line be a solution to the linear equation?
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The Number System, Expressions and Order of Operations Classify real numbers as rational or irrational Evaluate expressions with absolute value, powers, fractional expressions and radicals Recognize the base of a power Determine if the base of a power is negative or positive Determine the sign if a negative base power will result in a positive or negative product, based on whether the exponent is odd or even Expand powers Evaluate powers Write products as powers Multiply and divide powers of the same base Determine the product of a power raised to an exponent Multiply and divide monomials Write numbers in scientific notation Write numbers written in scientific notation to standard form Compute in scientific notation Determine operations to be used in applications of scientific notation Comparing numbers in scientific notation Find another real number between two given numbers on the number line
Equations Recognize that an equation is a statement of equality and truth Simplify each side of an equation and employ inverse properties to solve multi-step equations Solve single step equations Solve equations with variables on both sides Solve multi-step equations Using order of operatoins to check validity of solutions Determine the solutions that make a statement true Rewrite a formula to determine that value of a variable Perform geometric and real world applications by solving equations Solve linear equations by substituting in a coordinate and solving for the other Find points on a line, by building a chart of ordered pairs that are on given linear equation Plot points and determine correctness of line, from slope and collinear behavior Determine and interpret x and y intercepts Find x and y intercepts algebraically Graph lines using slope and y-intercept Graph lines whose slopes are zero or no slopes (vertical, horizontal) Rewrite linear equations from slope intercept form to standard form Determine the slope of a line from a graph Determine the slope of a line from two points Determine the slope of a line using the formula Find the missing coordinate, give the slope and two points, containing one variable
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Real numbers Rational numbers Irrational numbers Perfect squares Square roots Terminating decimal Repeating decimal Simple fraction Complex fraction Integers Whole Numbers Natural and Counting Numbers Power Base Exponent Product Quotient Expanded form Order of Operations Monomial Factors Coefficient Laws of Exponents Zero Exponent Negative Exponent Scientific Notation Base 10 Place Value Non-perfect squares Perfect Cubes Non-Perfect Cubes Roots Radicals Radicands Principle Root Density Property equivalence terms like terms null set empty set identity equation all solutions no solutions set multiplicative inverses reciprocal properties distributive property Check Cartesian, coordinate plane Quadrants Intersection of number lines Origin abscissa ordinate coordinates line collinear points slope linear equation slope intercept form of a linear equation standard form of a linear equation parallelism |
Writing Assessment Unit Assessment Benchmark Assessment IXL-technology informal assessment |
Glencoe Course 3 Text Big Ideas Text-Grade 8 Holt-McDouglal Mathematics Grade 8 IXL |
