Introduction - Grade 7 Mathematics

Size: px
Start display at page:

Download "Introduction - Grade 7 Mathematics"

Transcription

1 Released Test Questions L I F O R N I S T N R S T E S T Math G r a d e Introduction - Grade Mathematics The following released test questions are taken from the Grade Mathematics Standards Test. This test is one of the alifornia Standards Tests administered as part of the Standardized Testing and Reporting (STR) Program under policies set by the State oard of Education. ll questions on the alifornia Standards Tests are evaluated by committees of content experts, including teachers and administrators, to ensure their appropriateness for measuring the alifornia academic content standards in Grade Mathematics. In addition to content, all items are reviewed and approved to ensure their adherence to the principles of fairness and to ensure no bias exists with respect to characteristics such as gender, ethnicity, and language. This document contains released test questions from the alifornia Standards Test forms in 00, 00, 00, and 006. First on the pages that follow are lists of the standards assessed on the Grade Mathematics Test. Next are released test questions. Following the questions is a table that gives the correct answer for each question, the content standard that each question is measuring, and the year each question last appeared on the test. The following table lists each strand/reporting cluster, the number of items that appear on the exam, and the number of released test questions that appear in this document. NUMER OF NUMER OF STRN/REPORTING QUESTIONS ON RELESE TEST LUSTER EXM QUESTIONS Number Sense Rational Numbers 1 1 Number Sense Exponents, Powers, and Roots 8 9 lgebra and Functions Quantitative Relationships and Evaluating Expressions lgebra and Functions Multi-step Problems, Graphing, and Functions 1 1 Measurement and Geometry 1 1 Statistics, ata nalysis, and Probability TOTL 6 6 In selecting test questions for release, three criteria are used: (1) the questions adequately cover a selection of the academic content standards assessed on the Grade Mathematics Test; () the questions demonstrate a range of difficulty; and () the questions present a variety of ways standards can be assessed. These released test questions do not reflect all of the ways the standards may be assessed. Released test questions will not appear on future tests. For more information about the alifornia Standards Tests, visit the alifornia epartment of Education s Web site at This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 00 alifornia epartment of Education.

2 G r a d e L I F O R N I S T N R S T E S T Math Released Test Questions THe NUMer SeNSe STraNd In Grade, there are two reporting clusters within the Number Sense strand: 1) Rational Numbers and ) Exponents, Powers, and Roots. This booklet contains released test questions for each of these clusters. The following seven alifornia content standards are included in the Rational Numbers reporting cluster of the Number Sense strand and are represented in this booklet by 1 test questions. These questions represent only some ways in which these standards may be assessed on the Grade alifornia Mathematics Standards Test. LIFORNI ONTENT STNRS IN THIS REPORTING LUSTER Number Sense Standard Set.0 NS1.1 NS1.* NS1. NS1.* NS1.* NS1.6 NS1.* Students know the properties of, and compute with, rational numbers expressed in a variety of forms: Read, write, and compare rational numbers in scientific notation (positive and negative powers of 10) with approximate numbers using scientific notation. dd, subtract, multiply, and divide rational numbers (integers, fractions, and terminating decimals) and take positive rational numbers to whole-number powers. onvert fractions to decimals and percents and use these representations in estimations, computations, and applications. ifferentiate between rational and irrational numbers. Know that every rational number is either a terminating or repeating decimal and be able to convert terminating decimals into reduced fractions. alculate the percentage of increases and decreases of a quantity. Solve problems that involve discounts, markups, commissions, and profit and compute simple and compound interest. * enotes key standards (Mathematics Framework for alifornia Public Schools) This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 00 alifornia epartment of Education.

3 Released Test Questions L I F O R N I S T N R S T E S T Math G r a d e The following five alifornia content standards are included in the Exponents, Powers, and Roots reporting cluster of the Number Sense strand and are represented in this booklet by nine test questions. These questions represent only some ways in which these standards may be assessed on the Grade alifornia Mathematics Standards Test. LIFORNI ONTENT STNRS IN THIS REPORTING LUSTER Number Sense Standard Set.0 NS.1 NS.* NS.* NS. NS.* Students use exponents, powers, and roots and use exponents in working with fractions: Understand negative whole-number exponents. Multiply and divide expressions involving exponents with a common base. dd and subtract fractions by using factoring to find common denominators. Multiply, divide, and simplify rational numbers by using exponent rules. Use the inverse relationship between raising to a power and extracting the root of a perfect square integer; for an integer that is not square, determine without a calculator the two integers between which its square root lies and explain why. Understand the meaning of the absolute value of a number; interpret the absolute value as the distance of the number from zero on a number line; and determine the absolute value of real numbers. * enotes key standards (Mathematics Framework for alifornia Public Schools) This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 00 alifornia epartment of Education.

4 G r a d e L I F O R N I S T N R S T E S T Math Released Test Questions THe algera and FUNTIONS STraNd In Grade, there are two reporting clusters within the lgebra and Functions strand: 1) Quantitative Relationships and Evaluating Expressions and ) Multi-step Problems, Graphing, and Functions. This booklet contains released test questions for each of these clusters. The following seven alifornia content standards are included in the Quantitative Relationships and Evaluating Expressions reporting cluster of the lgebra and Functions strand and are represented in this booklet by 11 test questions. These questions represent only some ways in which these standards may be assessed on the Grade alifornia Mathematics Standards Test. LIFORNI ONTENT STNRS IN THIS REPORTING LUSTER algebra and Functions Standard Set.0 Students express quantitative relationships by using algebraic terminology, expressions, equations, inequalities, and graphs: F1.1 Use variables and appropriate operations to write an expression, an equation, an inequality, or a system of equations or inequalities that represents a verbal description (e.g., three less than a number, half as large as area ). F1. F1.* F1. F1. Standard Set.0 F.1 F. Use the correct order of operations to evaluate algebraic expressions such as (x + ). Simplify numerical expressions by applying properties of rational numbers (e.g., identity, inverse, distributive, associative, commutative) and justify the process used. Use algebraic terminology (e.g., variable, equation, term, coefficient, inequality, expression, constant) correctly. Represent quantitative relationships graphically and interpret the meaning of a specific part of a graph in the situation represented by the graph. Students interpret and evaluate expressions involving integer powers and simple roots: Interpret positive whole-number powers as repeated multiplication and negative whole-number powers as repeated division or multiplication by the multiplicative inverse. Simplify and evaluate expressions that include exponents. Multiply and divide monomials; extend the process of taking powers and extracting roots to monomials when the latter results in a monomial with an integer exponent. * enotes key standards (Mathematics Framework for alifornia Public Schools) This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 00 alifornia epartment of Education.

5 Released Test Questions L I F O R N I S T N R S T E S T Math G r a d e The following six alifornia content standards are included in the Multi-step Problems, Graphing, and Functions reporting cluster of the lgebra and Functions strand and are represented in this booklet by 1 test questions. These questions represent only some ways in which these standards may be assessed on the Grade alifornia Mathematics Standards Test. LIFORNI ONTENT STNRS IN THIS REPORTING LUSTER algebra and Functions Standard Set.0 Students graph and interpret linear and some nonlinear functions: F.1 Graph functions of the form y = nx and y = nx and use in solving problems. F. Plot the values from the volumes of three-dimensional shapes for various values of the edge lengths (e.g., cubes with varying edge lengths or a triangle prism with a fixed height and an equilateral triangle base of varying lengths). F.* F.* Graph linear functions, noting that the vertical change (change in y-value) per unit of horizontal change (change in x-value) is always the same and know that the ratio ( rise over run ) is called the slope of a graph. Plot the values of quantities whose ratios are always the same (e.g., cost to the number of an item, feet to inches, circumference to diameter of a circle). Fit a line to the plot and understand that the slope of the line equals the ratio of the quantities. Standard Set.0* Students solve simple linear equations and inequalities over the rational numbers: F.1* F.* Solve two-step linear equations and inequalities in one variable over the rational numbers, interpret the solution or solutions in the context from which they arose, and verify the reasonableness of the results. Solve multistep problems involving rate, average speed, distance, and time or a direct variation. * enotes key standards (Mathematics Framework for alifornia Public Schools) This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 00 alifornia epartment of Education.

6 G r a d e L I F O R N I S T N R S T E S T Math Released Test Questions THe MeaSUreMeNT and GeOMeTrY STraNd/rePOrTING LUSTer The following 1 alifornia content standards are included in the Measurement and Geometry strand/reporting cluster and are represented in this booklet by 1 test questions. These questions represent only some ways in which these standards may be assessed on the Grade alifornia Mathematics Standards Test. LIFORNI ONTENT STNRS IN THIS STRN/LUSTER Measurement and Geometry Standard Set.0 Students choose appropriate units of measure and use ratios to convert within and between measurement systems to solve problems: MG1.1 ompare weights, capacities, geometric measures, times, and temperatures within and between measurement systems (e.g., miles per hour and feet per second, cubic inches to cubic centimeters). MG1. MG1.* Standard Set.0 MG.1 MG. MG. MG. onstruct and read drawings and models made to scale. Use measures expressed as rates (e.g., speed, density) and measures expressed as products (e.g., person-days) to solve problems; check the units of the solutions; and use dimensional analysis to check the reasonableness of the answer. Students compute the perimeter, area, and volume of common geometric objects and use the results to find measures of less common objects. They know how perimeter, area, and volume are affected by changes of scale: Use formulas routinely for finding the perimeter and area of basic twodimensional figures and the surface area and volume of basic three-dimensional figures, including rectangles, parallelograms, trapezoids, squares, triangles, circles, prisms, and cylinders. Estimate and compute the area of more complex or irregular two- and threedimensional figures by breaking the figures down into more basic geometric objects. ompute the length of the perimeter, the surface area of the faces, and the volume of a three-dimensional object built from rectangular solids. Understand that when the lengths of all dimensions are multiplied by a scale factor, the surface area is multiplied by the square of the scale factor and the volume is multiplied by the cube of the scale factor. Relate the changes in measurement with a change of scale to the units used (e.g., square inches, cubic feet) and to conversions between units (1 square foot = 1 square inches or [1 ft ] = [1 in ], 1 cubic inch is approximately 16.8 cubic centimeters or [1 in ] = [16.8 cm ]). This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 00 alifornia epartment of Education.

7 Released Test Questions L I F O R N I S T N R S T E S T Math G r a d e Standard Set.0 MG.1 MG. MG.* MG.* MG.6* Students know the Pythagorean theorem and deepen their understanding of plane and solid geometric shapes by constructing figures that meet given conditions and by identifying attributes of figures: Identify and construct basic elements of geometric figures (e.g., altitudes, midpoints, diagonals, angle bisectors, and perpendicular bisectors; central angles, radii, diameters, and chords of circles) by using a compass and straightedge. Understand and use coordinate graphs to plot simple figures, determine lengths and areas related to them, and determine their image under translations and reflections. Know and understand the Pythagorean theorem and its converse and use it to find the length of the missing side of a right triangle and the lengths of other line segments and, in some situations, empirically verify the Pythagorean theorem by direct measurement. emonstrate an understanding of conditions that indicate two geometrical figures are congruent and what congruence means about the relationships between the sides and angles of the two figures. Identify elements of three-dimensional geometric objects (e.g., diagonals of rectangular solids) and describe how two or more objects are related in space (e.g., skew lines, the possible ways three planes might intersect). * enotes key standards (Mathematics Framework for alifornia Public Schools) This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 00 alifornia epartment of Education.

8 G r a d e L I F O R N I S T N R S T E S T Math Released Test Questions THe STaTISTIS, data analysis, and PrOaILITY STraNd/rePOrTING LUSTer The following three alifornia content standards are included in the Statistics, ata nalysis, and Probability strand/reporting cluster and are represented in this booklet by four test questions. These questions represent only some ways in which these standards may be assessed on the Grade alifornia Mathematics Standards Test. LIFORNI ONTENT STNRS IN THIS STRN/LUSTER Statistics, data analysis, and Probability Standard Set.0 Students collect, organize, and represent data sets that have one or more variables and identify relationships among variables within a data set by hand and through the use of an electronic spreadsheet software program: PS1.1 PS1. PS1.* Know various forms of display for data sets, including a stem-and-leaf plot or box-and-whisker plot; use the forms to display a single set of data or to compare two sets of data. Represent two numerical variables on a scatterplot and informally describe how the data points are distributed and any apparent relationship that exists between the two variables (e.g., between time spent on homework and grade level). Understand the meaning of, and be able to compute, the minimum, the lower quartile, the median, the upper quartile, and the maximum of a data set. * enotes key standards (Mathematics Framework for alifornia Public Schools) This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 00 alifornia epartment of Education.

9 L I F O R N I S T N R S T E S T G r a d e Released Test Questions Math 1 Which shows 8,000 written in scientific notation? acia made a snack mix using the ingredients listed below cups granola cup peanuts 1 1 cup raisins cup chocolate chips SM00 æ ç ö è ø = SM01 Roberto paid $.08 for s. ll s were the same price. How much did each cost? $11.6 $1.6 $0.08 $6.08 SM10189 What is the total amount of all four ingredients? 1 cups 1 cups 1 cups cups SM1010 Which of the following is equivalent to?.... SM018 6 Tasha is buying a that is regularly $ and is on sale for off. Which expression can she use to estimate the discount on the? $1 0.0 $1 0. $1 0.0 $1 SM1018 This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 00 alifornia epartment of Education.

10 G r a d e L I F O R N I S T N R S T E S T Math Released Test Questions Which is an irrational number? 9 sweater originally cost $.0. Last week, Moesha bought it at 0% off Which fraction is the same as.08? 6 19 SM00 SM % OFF How much was deducted from the original price? $.0 $1.0 $0.00 $0.00 SM Jason bought a jacket on sale for 0% off the original price and another % off the discounted price. If the jacket originally cost $88, what was the final sale price that Jason paid for the jacket? $ $ $ $66 SM019 0 This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 00 alifornia epartment of Education.

11 Released Test Questions L I F O R N I S T N R S T E S T Math G r a d e 11 Marl borrowed $00 at 1% simple interest for one year. If he makes no payments that year, how much interest will he owe at the end of the year? $6.00 $1.00 $.0 $.00 1 calculator that is regularly priced $0 is on sale for 0% off. What is the sale price of the calculator? $8 $1 $1 $16 SM100 SM011 1 Tamika works in a shoe store and is paid a 1% commission on her sales. In January her sales total was $0. To the nearest dollar, how much did Tamika earn in commission for January? $1 $9 $91 $189 SM110 1 Stuart is buying a pair of jeans that regularly cost $0. They are on sale for 0% off. If the tax rate is 8%, what is the sale price of the jeans including tax? $1.60 $.6 $. $.16 1 Which of the following has the same value as 6 -? -1-8 SM Which of the following shows the next step using the least common denominator to simplify -? 8 6 æ ö - æ ç ç ö è8 ø èç6 ø æ ö ç - çæ ö è8 ø çè6 ø æ ö æ ç - ç ö çè8 ø èç6 ø SM11608 æ ö ç - ç çæ ö çè8 ø èç6 ø SM0890 This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 00 alifornia epartment of Education.

12 G r a d e L I F O R N I S T N R S T E S T Math Released Test Questions 1 = = SM06 18 Which expression is equivalent to 10? SM1010 Which expression has the smallest value? SM011 SM1016 If the values of the expressions below are plotted on a number line, which expression would be closest to five? 19 Which value is equivalent to ? SM SM10168 The sum of a number (n) and 1 is. Which equation shows this relationship? 0 1 = 1 + n = n = n = + n = 1 SM0088 SM0189 This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 00 alifornia epartment of Education.

13 Released Test Questions L I F O R N I S T N R S T E S T Math G r a d e If x = and y =, then xy - x = SM019 9 Which of the following equations illustrates the inverse property of multiplication? 1 = 1 1 = 0 = 0 = 6 Which operation will change the value of any nonzero number? adding zero multiplying by zero multiplying by one dividing by one SM019 0 Which equation shows the distributive property? ( + 6)= 1 + ( + )+ 6 = 6 +( + ) (1 + )+ 0 = 1 + (1 + )+ 6 = 1 +( + 6) SM160 Which property is used in the equation below? 1( x + ) = 1 x + 8 ssociative Property of ddition ommutative Property of ddition istributive Property Reflexive Property SM011 8 Which expression is equivalent to x - y? SM Which of the following is an example of an inequality? n -6 n > 9 = n = SM0188 xy ( x - y ) x - y x - y SM0086 This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 00 alifornia epartment of Education.

14 G r a d e L I F O R N I S T N R S T E S T Math Released Test Questions The table below shows the charges for renting and racing a go-cart. Grand Prix Go-arts Number of Laps 0 1 Price (dollars) Which graph best represents these prices? Price (dollars) Price (dollars) Number of Laps Price (dollars) Price (dollars) Number of Laps Number of Laps Number of Laps SM10906 This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 00 alifornia epartment of Education.

15 Released Test Questions L I F O R N I S T N R S T E S T Math G r a d e Which expression below has the same value as x? x Which graph shows y = -x? y y x x x x x x x SM101 x x 8a Which expression is equivalent to 6 a? 6a 6a y y a a x x SM1016 SM0088 This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 00 alifornia epartment of Education.

16 G r a d e L I F O R N I S T N R S T E S T Math Released Test Questions 6 Which best represents the graph of y = x -? What is the slope of this line? y x y x (, ) y (, 1) x y y x x 1 1 SM000 SM0089 This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 00 alifornia epartment of Education.

17 Released Test Questions L I F O R N I S T N R S T E S T Math G r a d e 8 Which statement is true about the slope of line? y The slope is the ratio of the x- and y-intercepts. The slope is the same between any two points on the line. The slope between point and point is greater than the slope between point and point. The slope between point and point is greater than the slope between point and point. x SM1 9 ananas are on sale at the price of pounds for $1.00. Which graph shows the relationship between the number of pounds of bananas bought and the total cost? Total ost Total ost Total ost $ 6 $ $ $ $ $ 1 $ Number of Pounds $ 6 $ $ $ $ $ 1 $ Number of Pounds $ 6 $ $ $ $ $ 1 $ Number of Pounds Total ost $ 6 $ $ $ $ $ 1 $ Number of Pounds SM00 This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 00 alifornia epartment of Education.

18 G r a d e L I F O R N I S T N R S T E S T Math Released Test Questions What 0 value of x makes the equation below true? x + 6 = What value of x satisfies the equation x + =? SM166 What 1 is the solution set to the inequality 6 z + >? {z : z < } {z : z < } {z : z > } {z : z > } duck flew at 18 miles per hour for hours, then at 1 miles per hour for hours. How far did the duck fly in all? 69 miles miles 81 miles 8 miles SM019 What is the value of x if - x + = -? x = -6 x = - x = x = 6 SM019 Joan needs $60 for a class trip. She has $. She can earn $ an hour mowing lawns. If the equation shows this relationship, how many hours must Joan work to have the money she needs? h + = 60 6 Juanita earns $6 for hours of work. t that rate, how long would she have to work to earn $0? 1 hours 0 hours 60 hours 10 hours SM016 hours 1 hours hours 8 hours SM009 This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 00 alifornia epartment of Education.

19 Released Test Questions L I F O R N I S T N R S T E S T Math G r a d e The distance a spring stretches varies directly with the force applied to it. If a -pound weight stretches a spring a distance of. inches, how far will the spring stretch if a 1-pound weight is applied?. inches 19. inches inches 9 inches 9 How many millimeters are in 0 centimeters? 0.0 millimeters 0. millimeters 00 millimeters 0,000 millimeters SM Mr. raig made a scale drawing of his office. SM Marisa s car gets an average of 8 miles per gallon of gas. She plans to drive 00 miles today and 0 miles tomorrow. How many gallons of gas should she expect to use in all? in. 1 gallons 8 gallons 6 gallons 6 gallons SM011 1 inch = feet The width of the scale drawing of the office is inches. What is the actual width, in feet, of Mr. raig s office? SM006 This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 00 alifornia epartment of Education.

20 G r a d e Math L I F O R N I S T N R S T E S T Released Test Questions 1 The chart below describes the speed of four desktop printers. What is the area of trapezoid QRST in æ 1 ö square units? ç = h b ( 1 + b ) è ø Printer escription T 8 Q Roboprint Prints pages per second Voltronn Prints 1 page every seconds S 11 R Vantek Plus Prints 160 pages in minutes LS Pro Prints 100 pages per minute Which printer is the fastest? Roboprint Voltronn Vantek Plus LS Pro 8 8 SM10 herie cut four congruent triangles off the corners of a rectangle to make an octagon, as shown below. SM0196 cm The atmosphere normally exerts a pressure of about 1 pounds per square inch on surfaces at sea level. bout how much pressure does the atmosphere exert on a surface 0 square inches in area? 9 cm cm pounds 1 pounds pounds 0 pounds SM01 16 cm What is the area of the shaded octagon? 18 cm 16 cm 10 cm 1 cm SM This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 00 alifornia epartment of Education.

21 Released Test Questions L I F O R N I S T N R S T E S T Math G r a d e What is the volume of the rectangular solid Look at the coordinate grid below. shown below? y in. in. in. 10 cubic inches cubic inches 0 cubic inches 6 cubic inches P Q 1 6 x SM Jason is inches tall. Which measurement does not describe Jason s height? 6 feet feet inches yards centimeters SM019 Points R and S will be added to the grid to form rectangle PQRS with an area of 0 square units. Which ordered pairs could be the coordinates of points R and S? (, -1) and ( 1, -1) (, - ) and ( 1, - ) (, - ) and ( 1, - ) (, - ) and ( 1, - ) SM10186 This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 00 alifornia epartment of Education.

22 G r a d e L I F O R N I S T N R S T E S T Math Released Test Questions 8 In the figure below, is the midpoint of, and is perpendicular to. cm 60 Which parallelogram is congruent to parallelogram JKLM? M J K 10º 60º L 80º 0 cm 6 What is the length of? 1 centimeters 10º 16 centimeters 18 centimeters 0 centimeters SM000 60º 9 What is the length of YZ? X 8 cm 1 cm 10º Y Z SM100 9 cm 1 cm 19 cm cm SM1066 This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 00 alifornia epartment of Education.

23 Released Test Questions L I F O R N I S T N R S T E S T Math G r a d e 61 The box-and-whisker plot below represents the daily high temperatures at a beach in pril. aily High Temperatures 6 The scatter plot below shows the average traffic volume and average vehicle speed on a certain freeway for 0 days in ºF 0ºF 80ºF 90ºF 100ºF What was the median daily high temperature? 68 F F 8 F 8 F verage Vehicle Speed verage Traffic Volume SM100 Which statement best describes the relationship between average traffic volume and average vehicle speed shown on the scatter plot? s traffic volume increases, vehicle speed increases. s traffic volume increases, vehicle speed decreases. s traffic volume increases, vehicle speed increases at first, then decreases. s traffic volume increases, vehicle speed decreases at first, then increases. SN0001 This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 00 alifornia epartment of Education.

24 G r a d e L I F O R N I S T N R S T E S T Math Released Test Questions 6 The following data represent the number of years different students in a certain group have gone to school together: 1,, 8, 16, 1, 9, 19. These data are shown on the box-and-whisker plot below. 6 The table shows the number of turkey and ham sandwiches sold by erby s eli for several days in one week What is the median of the data? SN0008 What is the difference between the median number of turkey sandwiches sold and the median number of ham sandwiches sold? 0 1 SM11 This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 00 alifornia epartment of Education.

25 Released Test Questions L I F O R N I S T N R S T E S T Math G r a d e Question Number orrect nswer Standard Year of Test NS NS1. 00 NS1. 00 NS NS1. 00 NS1. 00 NS1. 00 NS1. 00 NS NS1. 00 NS1. 00 NS1. 00 NS NS NS.1 00 NS. 00 NS. 00 NS. 00 NS. 006 NS. 00 NS. 00 NS. 00 NS. 006 F F1. 00 F1. 00 F1. 00 F1. 00 F F F F1. 00 F.1 00 F. 00 F.1 00 F. 00 F. 00 F. 00 This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 00 alifornia epartment of Education.

26 G r a d e L I F O R N I S T N R S T E S T Math Released Test Questions Question Number orrect nswer Standard Year of Test 9 F F F.1 00 F.1 00 F.1 00 F F F. 00 F F MG MG MG1. 00 MG MG.1 00 MG. 00 MG MG. 006 MG MG MG MG PS PS PS PS This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 00 alifornia epartment of Education.

Introduction - Grade 7 Mathematics

Introduction - Grade 7 Mathematics LIFORNI STNRS TEST G R E Released Test Questions Math Introduction - Grade Mathematics The following released test questions are taken from the Grade Mathematics Standards Test. This test is one of the

More information

Introduction - Grade 7 Mathematics

Introduction - Grade 7 Mathematics Released Test Questions Math Introduction - Grade Mathematics The following released test questions are taken from the Grade Mathematics Standards Test. This test is one of the alifornia Standards Tests

More information

Introduction - Grade 7 Mathematics

Introduction - Grade 7 Mathematics LIFORNI STNRS TEST G R E Released Test Questions Math Introduction - Grade Mathematics The following released test questions are taken from the Grade Mathematics Standards Test. This test is one of the

More information

CAHSEE Math Released Test Questions

CAHSEE Math Released Test Questions Math Released Test Questions RTQ Item Numbers by Standard (Includes CST items for Standards on ) This document references Released Test Questions from the 2008 posted Test Questions (RTQs) and the 2003

More information

Correlation of Moving with Math Grade 7 to HSEE Mathematics Blueprint

Correlation of Moving with Math Grade 7 to HSEE Mathematics Blueprint Correlation of Moving with Math Grade 7 to HSEE Mathematics Blueprint Number Sense 1.0 Students know the properties of, and compute with, rational numbers expressed n a variety of forms: 1.1 Read, write

More information

California. Performance Indicator. Form B Teacher s Guide and Answer Key. Mathematics. Continental Press

California. Performance Indicator. Form B Teacher s Guide and Answer Key. Mathematics. Continental Press California Performance Indicator Mathematics Form B Teacher s Guide and Answer Key Continental Press Contents Introduction to California Mathematics Performance Indicators........ 3 Answer Key Section

More information

Los Angeles Unified School District Secondary Mathematics Branch

Los Angeles Unified School District Secondary Mathematics Branch Essential Standards in Mathematics (Grade 10, 11 or 12) Los Angeles Unified School District 310209 Essential Standards in Mathematics COURSE DESCRIPTION This one semester course is designed as a preparation

More information

California Content Standard. Essentials for Algebra (lesson.exercise) of Test Items. Grade 6 Statistics, Data Analysis, & Probability.

California Content Standard. Essentials for Algebra (lesson.exercise) of Test Items. Grade 6 Statistics, Data Analysis, & Probability. California Content Standard Grade 6 Statistics, Data Analysis, & Probability 1. Students compute & analyze statistical measurements for data sets: 1.1 Compute the mean, median & mode of data sets 1.2 Understand

More information

II Which of the followingis equivalent to %?

II Which of the followingis equivalent to %? LFORN STNRS TEST G R E /~~. ~~ Which shows 833,000 written in scientific notation? 8.3303 8.33X0 8.33X0 8.33l06 acia made a snack mi using the ingredients listed below. - cups granola 3 - cup peanuts..

More information

Introduction - Grade 5 Mathematics

Introduction - Grade 5 Mathematics LI FOR N I ST N R S TE ST G R E Released Test Questions Math Introduction - Grade Mathematics The following released test questions are taken from the Grade Mathematics Standards Test. This test is one

More information

Archdiocese of Washington Catholic Schools Academic Standards Mathematics

Archdiocese of Washington Catholic Schools Academic Standards Mathematics 8 th GRADE Archdiocese of Washington Catholic Schools Standard 1 - Number Sense Students know the properties of rational* and irrational* numbers expressed in a variety of forms. They understand and use

More information

Introduction - Geometry

Introduction - Geometry L I F O R N I S T N R S T E S T Introduction - The following released test questions are taken from the Standards Test. This test is one of the alifornia Standards Tests administered as part of the Standardized

More information

Destination Math California Intervention

Destination Math California Intervention Destination Math California Intervention correlated to the California Intervention 4 7 s McDougal Littell Riverdeep STANDARDS MAPS for a Mathematics Intervention Program (Grades 4-7) The standards maps

More information

Algebra 1 Math Year at a Glance

Algebra 1 Math Year at a Glance Real Operations Equations/Inequalities Relations/Graphing Systems Exponents/Polynomials Quadratics ISTEP+ Radicals Algebra 1 Math Year at a Glance KEY According to the Indiana Department of Education +

More information

SOL Review Items. 7.1 The student will. 7.1a 1. Which fraction and decimal are equivalent to A. and B. and C. and D. and 0.

SOL Review Items. 7.1 The student will. 7.1a 1. Which fraction and decimal are equivalent to A. and B. and C. and D. and 0. 7.1 The student will a) investigate and describe the concept of negative exponents for powers of ten; b) determine scientific notation for numbers greater than zero; c) compare and order fractions, decimals,

More information

Introduction - Algebra I

Introduction - Algebra I LIFORNI STNRS TEST lgebra I Introduction - lgebra I The following released test questions are taken from the lgebra I Standards Test. This test is one of the alifornia Standards Tests administered as part

More information

addend angle composite number capacity Vocabulary Flash Cards Review Review Review Review Review Review

addend angle composite number capacity Vocabulary Flash Cards Review Review Review Review Review Review addend angle area bar graph capacity composite number cubic units difference A figure formed by two rays with the same endpoint A number to be added to another number. 2 or 3 in the sum 2 + 3. A graph

More information

Mapping Common Core State Standard Clusters and. Ohio Grade Level Indicator. Grade 7 Mathematics

Mapping Common Core State Standard Clusters and. Ohio Grade Level Indicator. Grade 7 Mathematics Mapping Common Core State Clusters and Ohio s Grade Level Indicators: Grade 7 Mathematics Ratios and Proportional Relationships: Analyze proportional relationships and use them to solve realworld and mathematical

More information

Purposeful Design Publications. Intermediate Mathematics Series Scope and Sequence

Purposeful Design Publications. Intermediate Mathematics Series Scope and Sequence Purposeful Design Publications Intermediate Mathematics Series Scope and Sequence All rights reserved, 2004 PO Box 35097 Colorado Springs, CO 80935-3509 800.367.0798 www.purposefuldesign.com I. NUMBER

More information

California 5 th Grade Standards / Excel Math Correlation by Lesson Number

California 5 th Grade Standards / Excel Math Correlation by Lesson Number (Activity) L1 L2 L3 Excel Math Objective Recognizing numbers less than a million given in words or place value; recognizing addition and subtraction fact families; subtracting 2 threedigit numbers with

More information

Math Lesson Plan 8th Grade Curriculum Total Activities: 345

Math Lesson Plan 8th Grade Curriculum Total Activities: 345 Time4Learning Online Learning for Homeschool and Enrichment www.time4learning.com Languages Arts, Math and more Multimedia s, Interactive Exercises, Printable Worksheets and Assessments Student Paced Learning

More information

Algebra Readiness Secondary Mathematics Instructional Guide

Algebra Readiness Secondary Mathematics Instructional Guide Algebra Readiness Secondary Mathematics Instructional Guide 2008-2009 ALGEBRA READINESS AB (Intervention Course Grade 8) Prerequisite: Mathematics 7AB 310317 Algebra Readiness A 310318 Algebra Readiness

More information

Introduction - Algebra II

Introduction - Algebra II LIFORNI STNRS TEST lgebra II Introduction - lgebra II The following released test questions are taken from the lgebra II Standards Test. This test is one of the alifornia Standards Tests administered as

More information

Syllabus for Grade 7. More details on each of the topics is covered in the following pages.

Syllabus for Grade 7. More details on each of the topics is covered in the following pages. Syllabus for Grade 7 Chapter 1 Algebraic Reasoning Chapter 2 Integers and rational numbers Chapter 3 Number Theory Chapter 4 Rational number Chapter 5 Patterns and functions Chapter 6 Proportional Relationships

More information

7 th Grade MCA3 Standards, Benchmarks, Examples, Test Specifications & Sampler Questions

7 th Grade MCA3 Standards, Benchmarks, Examples, Test Specifications & Sampler Questions 7 th Grade 3 Standards, Benchmarks, Examples, Test Specifications & Sampler Questions Strand Standard No. Benchmark (7 th Grade) Sampler Item Number & Operation 12-16 Items Modified 7-9 Items Read, write,

More information

Minnesota 7 th Grade 2007 Math Strands & Standards

Minnesota 7 th Grade 2007 Math Strands & Standards Minnesota 7 th Grade 2007 Math Strands & Standards Number & Operation Algebra Geometry & Measurement Data Analysis Read, write, represent and compare positive and negative rational numbers, expressed as

More information

Archdiocese of Washington Catholic Schools Academic Standards Mathematics

Archdiocese of Washington Catholic Schools Academic Standards Mathematics 6 th GRADE Archdiocese of Washington Catholic Schools Standard 1 - Number Sense Students compare and order positive and negative integers*, decimals, fractions, and mixed numbers. They find multiples*

More information

Correlation: California State Curriculum Standards of Mathematics for Grade 6 SUCCESS IN MATH: BASIC ALGEBRA

Correlation: California State Curriculum Standards of Mathematics for Grade 6 SUCCESS IN MATH: BASIC ALGEBRA Correlation: California State Curriculum Standards of Mathematics for Grade 6 To SUCCESS IN MATH: BASIC ALGEBRA 1 ALGEBRA AND FUNCTIONS 1.0 Students write verbal expressions and sentences as algebraic

More information

MATHEMATICS Grade 7 Standard: Number, Number Sense and Operations. Organizing Topic Benchmark Indicator Number and Number Systems

MATHEMATICS Grade 7 Standard: Number, Number Sense and Operations. Organizing Topic Benchmark Indicator Number and Number Systems Standard: Number, Number Sense and Operations Number and Number Systems A. Represent and compare numbers less than 0 through familiar applications and extending the number line. 1. Demonstrate an understanding

More information

Introduction - Algebra II

Introduction - Algebra II LIFORNI STNRS TEST lgebra II Introduction - lgebra II The following released test questions are taken from the lgebra II Standards Test. This test is one of the alifornia Standards Tests administered as

More information

Introduction - Algebra II

Introduction - Algebra II Introduction - The following released test questions are taken from the Standards Test. This test is one of the California Standards Tests administered as part of the Standardized Testing and Reporting

More information

Correlation of Moving with Algebra Grade 7 To Ohio Academic Content Standards

Correlation of Moving with Algebra Grade 7 To Ohio Academic Content Standards CP 3/06 Correlation of Moving with Algebra Grade 7 To Ohio Academic Content Standards NUMBER, NUMBER SENSE AND OPERATION STANDARDS Students demonstrate number sense including an understanding of number

More information

Introduction - Grade 6 Mathematics

Introduction - Grade 6 Mathematics Introduction - Grade Mathematics The following released test questions are taken from the Grade Mathematics Standards Test. This test is one of the alifornia Standards Tests administered as part of the

More information

Ohio Department of Education Academic Content Standards Mathematics Detailed Checklist ~Grade 9~

Ohio Department of Education Academic Content Standards Mathematics Detailed Checklist ~Grade 9~ Ohio Department of Education Academic Content Standards Mathematics Detailed Checklist ~Grade 9~ Number, Number Sense and Operations Standard Students demonstrate number sense, including an understanding

More information

Introduction - Grade 3 Mathematics

Introduction - Grade 3 Mathematics CA L I F O R N I A STA N DA R D S T E ST Math 3 Introduction - Grade 3 Mathematics The following released test questions are taken from the Grade 3 Mathematics Standards Test. This test is one of the California

More information

BEMIDJI AREA SCHOOLS Outcomes in Mathematics Grade 7

BEMIDJI AREA SCHOOLS Outcomes in Mathematics Grade 7 Outcomes in Mathematics Grade Know that every rational number can be written as the ratio of two integers or as a terminating or repeating decimal. Recognize that π is not rational, but.1.1.1 that it can

More information

Course Readiness and Skills Review Handbook (Topics 1-10, 17) (240 topics, due. on 09/11/2015) Course Readiness (55 topics)

Course Readiness and Skills Review Handbook (Topics 1-10, 17) (240 topics, due. on 09/11/2015) Course Readiness (55 topics) Course Name: Gr. 8 Fall 2015 Course Code: C6HNH-TEK9E ALEKS Course: Middle School Math Course 3 Instructor: Mr. Fernando Course Dates: Begin: 08/31/2015 End: 06/17/2016 Course Content: 642 Topics (637

More information

Foundations of High School Math

Foundations of High School Math Foundations of High School Math This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence to

More information

Essentials of Mathematics Lesson Objectives

Essentials of Mathematics Lesson Objectives Essentials of Mathematics Lesson Unit 1: NUMBER SENSE Reviewing Rational Numbers Practice adding, subtracting, multiplying, and dividing whole numbers, fractions, and decimals. Practice evaluating exponents.

More information

Archdiocese of Washington Catholic Schools Academic Standards Mathematics

Archdiocese of Washington Catholic Schools Academic Standards Mathematics 7 th GRADE Archdiocese of Washington Catholic Schools Standard 1 - Number Sense Students understand and use scientific notation* and square roots. They convert between fractions and decimals. MA.7.1.1

More information

The Top 11 Keystones of Algebra 1

The Top 11 Keystones of Algebra 1 The Top 11 Keystones of Algebra 1 The Top Eleven Keystones of Algebra 1 You should be able to 1) Simplify a radical expression. 2) Solve an equation. 3) Solve and graph an inequality on a number line.

More information

CONSTRUCTION TRADES Monroe High School February, 2007 Michigan Mathematics High School Content Expectations ALGEBRA 1 GEOMETRY

CONSTRUCTION TRADES Monroe High School February, 2007 Michigan Mathematics High School Content Expectations ALGEBRA 1 GEOMETRY The following is a list of Mathematics content identified by the CTE instructor as part of the established curriculum. L1.1.3 L1.1.4 L1.2.4 L.2.1.6 A1.1.2 A1.2.8 A2.4.1 A2.4.3 A3.1.3 L1.1.6 L2.1.6 ALGEBRA

More information

6 th Grade MCA3 Standards, Benchmarks, Examples, Test Specifications & Sampler Questions

6 th Grade MCA3 Standards, Benchmarks, Examples, Test Specifications & Sampler Questions 6 th Grade 3 Standards, Benchmarks, Examples, Test Specifications & Sampler Questions Strand Standard No. Benchmark (6 th Grade) Sampler Item Number & Operation 14-18 9-12 Read, write, represent and compare

More information

I can calculate percent of change. I can calculate percent increases (sales tax, tip/gratuity, commission, fees, markup, etc ).

I can calculate percent of change. I can calculate percent increases (sales tax, tip/gratuity, commission, fees, markup, etc ). RATIO & PROPORTIONAL RELATIONSHIPS 7.RP.: Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions,

More information

The Thomas family went for a Sunday drive. Before they left, Mr. Thomas noticed the gas tank

The Thomas family went for a Sunday drive. Before they left, Mr. Thomas noticed the gas tank North arolina Testing Program EOG Mathematics Grade Sample Items Goal. Susie earns $4.90 per hour. If she earned $90.7 last pay period, about how many hours did she work during the pay period? 5 0 75 70

More information

8.NS Number and Number Sense

8.NS Number and Number Sense Skills available for Virginia eighth-grade math standards Standards are in bold, followed by a list of the IXL math skills that are aligned to that standards. Students can practice these skills online

More information

MATH Spring 2010 Topics per Section

MATH Spring 2010 Topics per Section MATH 101 - Spring 2010 Topics per Section Chapter 1 : These are the topics in ALEKS covered by each Section of the book. Section 1.1 : Section 1.2 : Ordering integers Plotting integers on a number line

More information

Cologne Academy. Mathematics Department Math 6 Honors

Cologne Academy. Mathematics Department Math 6 Honors Cologne Academy Mathematics Department Math 6 Honors Aligned Text(s): (Holt McDougal Larson Pre-Algebra Common Core Ed.) Core Knowledge Curriculum 55% Aligned Adopted: 08/2015 Board Approved: 08/28/2014

More information

MATHEMATICS Grade 5 Standard: Number, Number Sense and Operations. Organizing Topic Benchmark Indicator

MATHEMATICS Grade 5 Standard: Number, Number Sense and Operations. Organizing Topic Benchmark Indicator Standard: Number, Number Sense and Operations Number and A. Represent and compare numbers less than 0 through 6. Construct and compare numbers greater than and less Number Systems familiar applications

More information

Basic Math. Curriculum (358 topics additional topics)

Basic Math. Curriculum (358 topics additional topics) Basic Math This course covers the topics outlined below and is available for use with integrated, interactive ebooks. You can customize the scope and sequence of this course to meet your curricular needs.

More information

Cologne Academy. Mathematics Department Math 7. Aligned Text(s): (Holt McDougal Mathematics Course 3) Core Knowledge Curriculum 55% Aligned

Cologne Academy. Mathematics Department Math 7. Aligned Text(s): (Holt McDougal Mathematics Course 3) Core Knowledge Curriculum 55% Aligned Cologne Academy Mathematics Department Math 7 Aligned Text(s): (Holt McDougal Mathematics Course 3) Core Knowledge Curriculum 55% Aligned Adopted: 08/2015 Board Approved: 08/28/2014 Updated: 08/25/2016

More information

Pre Algebra and Introductory Algebra

Pre Algebra and Introductory Algebra Pre Algebra and Introductory Algebra This course covers the topics outlined below and is available for use with integrated, interactive ebooks. You can customize the scope and sequence of this course to

More information

Algebra Readiness Secondary Mathematics Instructional Guide

Algebra Readiness Secondary Mathematics Instructional Guide Algebra Readiness Secondary Mathematics Instructional Guide 2009-2010 ALGEBRA READINESS AB (Intervention Course Grade 8) Prerequisite: Mathematics 7AB 310317 Algebra Readiness A 310318 Algebra Readiness

More information

8 th Grade Math Connects

8 th Grade Math Connects 8 th Grade Math Connects Chapter 1: Rational Numbers and Percent Multi-Part Lesson 1: Rational Numbers A: Rational Numbers B: Add and Subtract Rational Numbers C: Multiply Rational Numbers D: Divide Rational

More information

Curriculum Scope & Sequence

Curriculum Scope & Sequence Subject/Grade Level: Mathematics/Grade 6 Curriculum Scope & Sequence BOE Approval 1.28.14 Course: Math 6 Above-Level Unit Duration NJ Common Core Standards / Unit Goals Transfer Goal(s) Enduring Understandings

More information

NC Common Core Middle School Math Compacted Curriculum 7 th Grade Model 1 (3:2)

NC Common Core Middle School Math Compacted Curriculum 7 th Grade Model 1 (3:2) NC Common Core Middle School Math Compacted Curriculum 7 th Grade Model 1 (3:2) Analyze proportional relationships and use them to solve real-world and mathematical problems. Proportional Reasoning and

More information

Algebra Readiness. Curriculum (445 topics additional topics)

Algebra Readiness. Curriculum (445 topics additional topics) Algebra Readiness This course covers the topics shown below; new topics have been highlighted. Students navigate learning paths based on their level of readiness. Institutional users may customize the

More information

NEW ENGLAND COMMON ASSESSMENT PROGRAM

NEW ENGLAND COMMON ASSESSMENT PROGRAM NEW ENGLAND COMMON ASSESSMENT PROGRAM Released Items Support Materials 2009 Grade 11 Mathematics N&O 10.2 Demonstrates understanding of the relative magnitude of real numbers by solving problems involving

More information

Cologne Academy. Mathematics Department Math 7. Aligned Text(s): (Holt McDougal Mathematics Course 3) Core Knowledge Curriculum 55% Aligned

Cologne Academy. Mathematics Department Math 7. Aligned Text(s): (Holt McDougal Mathematics Course 3) Core Knowledge Curriculum 55% Aligned Cologne Academy Mathematics Department Math 7 Aligned Text(s): (Holt McDougal Mathematics Course 3) Core Knowledge Curriculum 55% Aligned Adopted: 08/2015 Board Approved: 08/28/2014 Updated: 08/12/2017

More information

CK-12 Middle School Math Grade 8

CK-12 Middle School Math Grade 8 CK-12 Middle School Math aligned with COMMON CORE MATH STATE STANDARDS INITIATIVE Middle School Standards for Math Content Common Core Math Standards for CK-12 Middle School Math The Number System (8.NS)

More information

Which of the following is an irrational number? a) 2.8 b) 19

Which of the following is an irrational number? a) 2.8 b) 19 Which of the following is an irrational number? a) 2.8 b) 19 c)!! d) 81 A discounted ticket for a football game costs $12.50 less than the original price p. You pay $63 for a discounted ticket. Write and

More information

Sacred Heart School Course Syllabus

Sacred Heart School Course Syllabus Sacred Heart School Course Syllabus Class Subject: Grade 6 Mathematics (Advanced) Teacher Information: Barbara Hamanaka Sacred Heart School : 860-445-0611 hamanakab@sacredheartgroton.org Course Description:

More information

LOS BANOS UNIFIED SCHOOL DISTRICT

LOS BANOS UNIFIED SCHOOL DISTRICT LOS NOS UNIFIE SHOOL ISTRIT Mathematics Released Test Items 00-006 LIFORNI STNRS TEST 4 th and 5 th Grade Mathematics 4th GRE alifornia Standards Test Released Test Items Los anos Unified School istrict

More information

Pre-Algebra Semester 2 Practice Exam DRAFT

Pre-Algebra Semester 2 Practice Exam DRAFT . There are 0 yellow and purple marbles in a bag. If one marble is randomly picked from the bag, what are the odds in favor of it being yellow? A. : B. : C. :3 D. 3: 3. The data below shows the number

More information

Virginia Unit-Specific Learning Pathways. Grades 6-Algebra I: Standards of Learning

Virginia Unit-Specific Learning Pathways. Grades 6-Algebra I: Standards of Learning BUI L T F O VIR R G INIA 2014 2015 Virginia -Specific Learning Pathways Grades 6-Algebra I: Standards of Learning Table of Contents Grade 6...3 Grade 7...6 Grade 8...9 Algebra I... 11 Grade 6 Virginia

More information

My Math Plan Assessment #1 Study Guide

My Math Plan Assessment #1 Study Guide My Math Plan Assessment #1 Study Guide 1. Find the x-intercept and the y-intercept of the linear equation. 8x y = 4. Use factoring to solve the quadratic equation. x + 9x + 1 = 17. Find the difference.

More information

MATH ALGEBRA AND FUNCTIONS

MATH ALGEBRA AND FUNCTIONS Students: 1. Students express quantitative relationships using algebraic terminology, expressions, equations, inequalities and their graphs. 1. Use variables and appropriate operations to write an expression,

More information

Huntington Beach City School District Grade 7 Mathematics Accelerated Standards Schedule

Huntington Beach City School District Grade 7 Mathematics Accelerated Standards Schedule Huntington Beach City School District Grade 7 Mathematics Accelerated Standards Schedule 2016-2017 Interim Assessment Schedule Orange Interim Assessment: November 1-18, 2016 Green Interim Assessment: January

More information

RCS 7th Grade Mathematics Curriculum Map

RCS 7th Grade Mathematics Curriculum Map RCS 7th Grade athematics Curriculum ap 2013-2014 Bold: Indiana Common Core Standard (INCC) Regular: IAS not aligned to INCC but tested on ISTEP+ Standards for athematical Practice = To be covered this

More information

Guidelines for Standards-Based Instruction. (Summer School) Secondary Mathematics Grades Secondary Mathematics Grades 6-12 NOT FOR DISTRIBUTION

Guidelines for Standards-Based Instruction. (Summer School) Secondary Mathematics Grades Secondary Mathematics Grades 6-12 NOT FOR DISTRIBUTION Los Angeles Unified School District Guidelines for Standards-Based Instruction (Summer School) Secondary Mathematics Grades 6 12 Secondary Mathematics Grades 6-12 NOT FOR DISTRIBUTION Secondary Instructional

More information

Pre Algebra. Curriculum (634 topics)

Pre Algebra. Curriculum (634 topics) Pre Algebra This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence to meet curricular needs.

More information

Middle School Math Course 3

Middle School Math Course 3 Middle School Math Course 3 This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence to meet

More information

Accelerated Traditional Pathway: Accelerated 7 th Grade

Accelerated Traditional Pathway: Accelerated 7 th Grade Accelerated Traditional Pathway: Accelerated 7 th Grade This course differs from the non-accelerated 7 th Grade course in that it contains content from 8 th grade. While coherence is retained, in that

More information

Subskills by Standard Grade 7 7.RP.1. Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities

Subskills by Standard Grade 7 7.RP.1. Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities 7.RP.1. Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. For example, if a person walks 1/2 mile in each

More information

Escondido Union School District Office of Assessment and Staff Development DRAFT Pre-Algebra (including Advanced) Pacing Guide

Escondido Union School District Office of Assessment and Staff Development DRAFT Pre-Algebra (including Advanced) Pacing Guide See cover page for notes on pacing guide structure. 2010-2011 Pre-Algebra (including Advanced) Pacing Guide Big Idea(s): Algebra is distinguished from arithmetic by the systematic use of symbols for values.

More information

BENCHMARKS GRADE LEVEL INDICATORS STRATEGIES/RESOURCES

BENCHMARKS GRADE LEVEL INDICATORS STRATEGIES/RESOURCES GRADE OHIO ACADEMIC CONTENT STANDARDS MATHEMATICS CURRICULUM GUIDE Tenth Grade Number, Number Sense and Operations Standard Students demonstrate number sense, including an understanding of number systems

More information

BMS Pacing 7 th Grade Honors At a Glance

BMS Pacing 7 th Grade Honors At a Glance Module 1: Rational and Irrational Numbers (27 days) Add, subtract, multiply, and divide integers Add, subtract, multiply, and divide positive and negative fractions Absolute value Change fractions to decimals

More information

Bellwood-Antis School District Curriculum Revised on 1/27/12

Bellwood-Antis School District Curriculum Revised on 1/27/12 Bellwood-Antis School District Curriculum Revised on 1/27/12 Course: Course 2 (7 th Grade) Grade Level(s): 7 Month Duration PA Standards/Anchors Content Assessment Instructional Activities Aug Ch. 1 Unit

More information

Fairview High School: 7 th Grade Mathematics

Fairview High School: 7 th Grade Mathematics Unit 1: Algebraic Reasoning (10 Days) Fairview High School: 7 th Grade Mathematics Standards CC.7.NS.1 Apply and extend previous understandings of addition and subtraction to add and subtract rational

More information

6th Grade Mathematics

6th Grade Mathematics Standard 1: Number & Operation and use numbers and use numbers 27-31% and use numbers 6.M.1.1.1 Compare magnitudes and relative magnitudes of positive rational numbers, including whole numbers through

More information

Spring Lake Middle School- Accelerated Math 7 Curriculum Map Updated: January 2018

Spring Lake Middle School- Accelerated Math 7 Curriculum Map Updated: January 2018 Domain Standard Learning Targets Resources Ratios and Proportional Relationships 7.RP.1 Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured

More information

Prep for College Algebra

Prep for College Algebra Prep for College Algebra This course covers the topics outlined below. You can customize the scope and sequence of this course to meet your curricular needs. Curriculum (219 topics + 85 additional topics)

More information

Pre Algebra. Curriculum (634 topics additional topics)

Pre Algebra. Curriculum (634 topics additional topics) Pre Algebra This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence to meet curricular needs.

More information

Grade 7 Secondary Mathematics Instructional Guide

Grade 7 Secondary Mathematics Instructional Guide Grade 7 Secondary Mathematics Instructional Guide 2008-2009 Mathematics 7AB (Annual Course Grade 7) Prerequisite: Mathematics 6AB 310103 Mathematics 7A 310104 Mathematics 7B COURSE DESCRIPTION Los Angeles

More information

Middle School Math for Digital White Boards. Common Core State Standards for Mathematics

Middle School Math for Digital White Boards. Common Core State Standards for Mathematics Middle School Math for Digital White Boards Correlations to Common Core State Standards for Mathematics OnBoard Academics, Inc. 44 Merrimac Street Newburyport MA 01950 Telephone: 1 800 596 3175 www.onboardacademics.com

More information

Minnesota Comprehensive Assessments-Series II

Minnesota Comprehensive Assessments-Series II Name Minnesota omprehensive ssessments-series Mathematics Item Sampler Grade 8 Use the number line below to answer question.. Which point on the number line represents the location of 96.? 60 R S T U 0.

More information

x y x y ax bx c x Algebra I Course Standards Gap 1 Gap 2 Comments a. Set up and solve problems following the correct order of operations (including proportions, percent, and absolute value) with rational

More information

Prep for College Algebra with Trigonometry

Prep for College Algebra with Trigonometry Prep for College Algebra with Trigonometry This course covers the topics outlined below. You can customize the scope and sequence of this course to meet your curricular needs. Curriculum (246 topics +

More information

Clinton Community School District K-8 Mathematics Scope and Sequence

Clinton Community School District K-8 Mathematics Scope and Sequence 6_RP_1 6_RP_2 6_RP_3 Domain: Ratios and Proportional Relationships Grade 6 Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities. Understand the

More information

ALGEBRA GRADE 7 MINNESOTA ACADEMIC STANDARDS CORRELATED TO MOVING WITH MATH. Part B Student Book Skill Builders (SB)

ALGEBRA GRADE 7 MINNESOTA ACADEMIC STANDARDS CORRELATED TO MOVING WITH MATH. Part B Student Book Skill Builders (SB) MINNESOTA ACADEMIC STANDARDS CORRELATED TO MOVING WITH MATH ALGEBRA GRADE 7 NUMBER AND OPERATION Read, write, represent and compare positive and negative rational numbers, expressed as integers, fractions

More information

Mathematics Grade 7. Updated 3/1/11 36

Mathematics Grade 7. Updated 3/1/11 36 Mathematics Grade 7 In Grade 7, instructional time should focus on four critical areas: (1) developing understanding of and applying proportional relationships; (2) developing understanding of operations

More information

Prep for the CSU ELM

Prep for the CSU ELM Prep for the CSU ELM This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence to meet curricular

More information

Rational numbers are a subset of the number system, including and beyond whole numbers. ADD and SUBTRACT rational numbers

Rational numbers are a subset of the number system, including and beyond whole numbers. ADD and SUBTRACT rational numbers Course: Grade 7 Mathematics Year: 2013 2014 Teachers: Cheryl Flanagan, Morgan O Brien, Nicole Brustman Unit 1: Operating with Rational Numbers (add/sub) Approximate Time Frame: 7 weeks 7.NS.1. Apply and

More information

Name: Period: Date: Algebra 1 1st Semester Review Which best describes the solution(s) for this equation? 3 ( 8x 12) = 33 2x

Name: Period: Date: Algebra 1 1st Semester Review Which best describes the solution(s) for this equation? 3 ( 8x 12) = 33 2x Name: Period: ate: lgebra 1 1st Semester Review 2011 1 Which algebraic expression could NOT match the pictorial representation below? 5 Which best describes the solution(s) for this equation? 3 ( 8x 12)

More information

Curriculum Guide Cover Page

Curriculum Guide Cover Page Curriculum Guide Cover Page Course Title: Pre-Algebra Grade Level: 8 th Grade Subject/Topic Area: Math Written by: Jason Hansen Revised Date: November 2013 Time Frame: One School Year (170 days) School

More information

Sixth Grade Mathematics 2018 Released Items Analysis

Sixth Grade Mathematics 2018 Released Items Analysis Step Up to the by GF Educators, Inc. Sixth Grade Mathematics 2018 Released s Teacher: Copyright 2018 Edition I www.stepup.com 6th Grade Mathematics Released s Name: Teacher: Date: Step Up to the by GF

More information

Willmar Public Schools Curriculum Map

Willmar Public Schools Curriculum Map Note: Problem Solving Algebra Prep is an elective credit. It is not a math credit at the high school as its intent is to help students prepare for Algebra by providing students with the opportunity to

More information

Paper-Based: 8th Grade Comprehensive Mathematics Assessment

Paper-Based: 8th Grade Comprehensive Mathematics Assessment Student Name: Teacher: Date: District: Miami-Dade County Public Schools Assessment: 08 Mathematics Mathematics Exam 3 Description: Paper-Based: 8th Grade Comprehensive Mathematics Assessment Form: 201

More information

Integrated Mathematics II

Integrated Mathematics II Integrated Mathematics II This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence to meet

More information

Middle School Math Course 2

Middle School Math Course 2 Middle School Math Course 2 This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence to meet

More information