PreAlgebra Curriculum Crawford Central School District


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1 Concept Competency Resources Larson Pre Algebra Resource Vocabulary Strategy PA Core Eligible Content PA Core Standards PA Core Standards Scope and Sequence Number System identify numbers as either rational or irrational Holt 2010: Ch 2 & 4; Pearson: Ch 2 & 3; Holt 2012: Ch 3 How do we classify numbers in the real number system? Performance Coach page 2324; A Million Dollars Task (MDC) Real numbers; rational numbers; irrational numbers; relatively prime N CC E.1 8.NS weeks convert, compare and order real numbers Holt 2010: Ch 2 & 4; Pearson: Ch 2 & 3; Holt 2012: Ch 3 Ch 5 & 9 Real numbers; rational numbers; irrational numbers; relatively prime N.1.1.2; N.1.1.4; N CC E.1, CC E.4 8.NS.1 estimate values of irrational numbers Ch 2 & 3; Holt 2012: Ch 3 Real numbers; rational numbers; irrational numbers; relatively prime N CC E.4 8.NS.2 complete rational number operations Holt 2010: Ch 2; Pearson: Ch 2 & 3; Holt 2012: Ch 1 Ch 5 least common denominator; reciprocal; multiplicative inverses M07.A N CC E.4 8.NS.2 How do mathematical properites allow us to work with expression and equations in algebra? Buying Chips and Candy Task (MDC)
2 Solving Equations Holt 2010: Ch 1, 2 & 11; Pearson: Ch 6; Holt 2012: Ch 1 & 7 Ch 3 inverse operation; Algebra tiles equation; solution; variable; constant; Distributive Property; like terms; literal equation; term; simplify solve linear equations in onevariable E.3.1.1; E EE weeks state special types of solutions to linear equations Holt 2010: Ch 11; Pearson: Ch 6; Holt 2012: Ch 7 Ch 2 & 3 MDC Lesson Solving Linear Equations in One Variable or Building and Solving Linear Equations E.3.1.1; E EE.7 solve systems of linear equations algebraically (8th grade) Holt 2010: Ch 11; Pearson: Ch 6; Holt 2012: Ch 7 system of equations; solution to a system; elimination method; substitution show more than one way to solving systems at the same time E EE.7 Integer Exponents and Pythagorean Theorem How and when can the Pythagorean Theorem help us to calculate the length of a segment without directly measuring it? evaluate expressions with integer exponents simplify expressions using laws of exponents Ch 1 & 4 Ch 4 Jane's TV MDC Task negative exponent, power of zero product of powers MDC Properties Laws of with the same base, Exponents quotient of powers with the same base, power of a power E E EE weeks 8.EE.1 evaluate square and cube roots rational number; irrational number; perfect square; perfect cube Engage NY E EE.2 write and compare numbers in scientific notation Ch 4 scientific notation; standard notation E.1.1.3; 8.EE.3
3 perform operations with numbers in scientific notation explain a proof of the Pythagorean Theorem and its converse use the Pythagorean Theorem to determine unknown lengths in right apply the Pythagorean Theorem to realworld problems use the Pythagorean Theorem to find the distance between two points in a PreAlgebra Curriculum Ch 4 Pythagorean Theorem, hypotenuse, legs, right triangle, converse E.1.1.3; G G television screens G distance formula G How do we recognize when it is appropriate to use a linear model to represent a real world situation, and what are the benefits of using a linear model to answer questions about the situation? Performance Coach page EE.4 8.G.6 8.G.7 8.G.7 8.G.8 Functions define a function Holt 2010: Ch 3 & 12; graph a function Holt 2010: Ch 3 & 12; relation; function; domain; range; independent variable; dependent function, linear equation F F CC C.1 8.F weeks CC C.1 8.F.1 compare function in various forms (tables, graphically, algebraically, verbal descriptions) Holt 2010: Ch 3 & 12; table of values, graph F CC C.1 8.F.2 identify if functions are linear Holt 2010: Ch 3 & 12; linear, nonlinear F CC C.1 8.F.3
4 write a function from a table, graph or situation Holt 2010: Ch 3 & 12; slopeintercept form F.1.1.2; F CC C.2 8.F.4 describe a functional relationship from a graph or verbal description Holt 2010: Ch 3 & 12; F.1.1.2; F CC C.2 8.F.5 How do we recognize when it is appropriate to use a linear model to represent a real world situation, and what are the benefits of using a linear model to answer questions about the situation? Performance Coach page Graphing Equations (8th grade) calculate the slope of a line on a coordinate plane 2012: slope, rate of change, rise, run, linear equation E CC B weeks graph proportional relationships and compare slopes 2012: E.2.1.1;M08. BE CC B.2 create an equation using slopeintercept form from a graph 2012: slopeintercept form; yintercept; pointslope form E CC B.2 solve systems of linear equations graphically 2012: system of equations; solution to a system E solve systems of linear equations for realworld applications 2012: Fencing MDC Task E How can we use tables and graphs to organize and make conclusions with data? Performance Coach
5 Data Analysis create scatter plots Ch 1 scatter plot, xaxis, yaxis S SP weeks determine relationships between two sets of data Ch 1 types of correlation S SP.1 draw a line of best fit on a scatter plot line of best fit; slopeintercept form S SP.2 write an equation for the line of best fit of a scatter plot use linear models to solve problems and make predictions for data apply the concept of correlation to realworld applications graph data in various forms slopeintercept form; yintercept; pointslope form S linear model S stemandleaf; histogram; boxandwhisker plot; circle graph; line graph, bar graph; frequency table; quartiles, median collect two types of data from the same set of people and see if they are S S CC B.2 8.SP.3 8.SP.3 8.SP.4 calculate measures of central tendency mean, median, mode, range, outlier S How do transformations affect the congruence and similarity of images? Performance Coach page Geometry understand the congruence of images to the original after rotations, reflections and translations congruence; rotation, reflection, translation; image G CC A.1 8.G.1, 8.G weeks
6 given two congruent figures, desribe a sequence of transformations verifying the congruence G CC A.1 8.G.1, 8.G.2 describe the effect of transformations on twodimensional figures in the coordinate plane Representing and Combining Transformations MDC Lesson G CC A.1 8.G.3 understand and describe similarity using transformations dilation; similarity; corresponding angles; corresponding sides G.1.1.1; G CC A.1 8.G.4 use the formulas for volume of space figures to solve mathematical problems Ch 10 volume, cone, cylinder, sphere, rectangular prism, cube, pi, radius, diameter Performance Coach pg 260 G CC A.3 8.G.9
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