Smarter Balanced Math Assessment 3rd Grade
MATH & MATH PERFORMANCE TASK
N ECESSARY T ECH S KILLS 1) 2) 3) 4) 5) 6)
Keyboarding: including arrows, tabs Click and drag Type in a box Scroll up/down Spell check Placement of cursor
W ORD P ROCESSING S KILLS 1) 2) 3) 4)
Bold, Italic, Underline Cut/Copy/Paste Undo/Redo Spelling/grammar skills
T EST BUTTONS TO KNOW 1) 2) 3) 4) 5) 6)
Zoom In and Zoom Out Save Pause Back Next Information; notepad; flag
P ERFORMANCE TASK 1) 2) 3) 4)
Extensive use of a bar graph Addition and subtraction questions using graph information Use graph information to create a picture graph Using and synthesizing data
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New Day Academy | 2014
E XAMPLE TEST QUESTIONS 1) 2) 3) 4) 5) 6) 7) 8) 9) 10) 11) 12) 13) 14) 15) 16) 17) 18) 19)
Three-‐part question about area and perimeter. Using a number line to find a fraction. Finding area using a diagram and repeated addition. A pizza is cut into 8 pieces, 2 pieces were eaten. How many are left? Write an equation to show how many slices are left. How to use and show a number using Base-‐10 blocks. Using a number line to order fractions. Click all the shapes that are quadrilaterals. Find the perimeter. Triple digit subtraction problem. An addition word problem using mass. Reading and understanding a bar graph. (Part A) Math writing problem regarding shapes. (Part B) Name that describes all of the shapes (quadrilateral). Equations that are equal to the product of two numbers. Critical thinking story problem requiring more ‘problem solving’ skill than computational skill. Division word problem. Multiplication word problem. Create a bar graph from a multiplication word problem. Equivalency statements
N ECESSARY M ATH S KILLS 1) 2) 3) 4) 5) 6) 7) 8) 9) 10)
Geometry vocabulary and skills Perimeter and area Fractions Using a number line to solve math problems Using and understanding Base-‐10 blocks Reading math word problems for understanding (answers are not as obvious) Math term and definitions (such as quadrilateral, polygon, etc.) Creating and using graphs Strategies to solve multi-‐step word problems Multiplication and division skills
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I MPORTANT TEST VOCABULARY 1) 2) 3) 4) 5) 6) 7) 8) 9)
Equation Perimeter Area Number line Fraction Unit 1s, 10s, 100s block Numerator Denominator
10) 11) 12) 13) 14) 15) 16) 17) 18)
Statement Quadrilateral Bar graph Parallelogram Square Rectangle Figures Sides Expression
19) 20) 21) 22) 23) 24) 25) 26)
Product Equal True/false Picture graph Connect Table Fraction Grams
Other important Information: You can review your answers several times before submitting; get help from an information button ( i ); note pad ( )for taking notes; and add a flag to review the question later ( ) .
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New Day Academy | 2014
SMARTER BALANCED ASSESSMENT 4TH Grade
MATH & MATH PERFORMANCE TASK
N ECESSARY T ECH S KILLS 1) 2) 3) 4) 5) 6)
Click and drag Type in a box Familiarity with buttons within test (point, arrow, delete, etc.) Scroll up/down Placement of cursor Keyboarding: including arrows, tabs
W ORD P ROCESSING S KILLS 1) 2) 3) 4)
Bold, Italic, Underline Cut/Copy/Paste Undo/Redo Spelling/grammar skills
T EST B UTTONS T O KNOW 1) 2) 3) 4) 5) 6) 7)
Zoom In and Zoom Out Save Pause Back Next Information; notepad; flag On graphing sections: − Delete − Add Point − Add Arrow
P ERFORMANCE T ASK 1) 2) 3) 4)
Students are given a budget of $100 to spend at a zoo and a list of ticket, food, and gift prices The task has several stipulations (family size, ticket cost, food) Students must solve: Cost of tickets; cost of meals; cost of gifts Students must justify answers
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New Day Academy | 2014
E XAMPLE T EST Q UESTIONS 1) 2) 3) 4) 5) 6) 7) 8) 9) 10) 11) 12) 13) 14) 15) 16) 17) 18) 19) 20) 21) 22)
Evaluate a claim using fractions. Factors of two numbers Division word problem with set parameters. Solve each expression and drag to the correct column. Subtracting with fractions. Multi-‐step, critical thinking, multiplication problem. Decimal/fraction equivalents. Fill in the box to complete a four-‐digit subtraction problem. Find the area (in quadrants). Problem solving problem (comparing numbers). Given an area of a rectangle, find the perimeter in centimeters. Place fractions on a number line based on a word problem. Find the expression(s) that have a sum equal to a set fraction. Label/enter points on a protractor; solve for various angles. Choose/solve an equation based on a word problem. Find a non-‐prime odd number between 2-‐20. Explain why the number is not prime. Use a table to convert inches to feet, and plot on number line. Use a bar graph to plot how many games a team won/lost. Find a list of common factors for two numbers. Use data to solve an addition/fraction problem. Find an equation for a multiplication problem. Use a picture graph to select a key and re-‐represent data.
N ECESSARY M ATH S KILLS /K NOWLEDGE 1) 2) 3) 4) 5) 6) 7) 8) 9) 10) 11) 12) 13) 14) 15) 16)
Strategies to solve multi-‐step word problems Writing/recognizing equations Understanding and comparing fractions Understand factors and common factors Multiplication/division skills Adding/subtracting/multiplying fractions Fraction to decimal conversion Area and perimeter Placing fractions on a number line Angles and using a protractor Prime numbers Units of measurement and conversion Using/reading bar graphs Using/reading picture graphs Selecting proper units of measurement Budgeting and planning
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New Day Academy | 2014
I MPORTANT T EST V OCABULARY 1) 2) 3) 4) 5) 6) 7) 8) 9) 10) 11)
Equation Perimeter Area Number line Fraction Unit Decimal Numerator Denominator Statement Bar graph
12) 13) 14) 15) 16) 17) 18) 19) 20) 21) 22)
Table Expression Product Equal Even/odd number Picture graph Factors Prime number Sum Angle Measure of an angle
23) 24) 25) 26) 27) 28) 29) 30)
Ray Length Combine Represent Key (graph) Less than/greater than Inch Centimeter
Other important Information: You can review your answers several times before submitting; get help from an information button ( i ); note pad ( )for taking notes; and add a flag to review the question later ( ) .
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New Day Academy | 2014
SMARTER BALANCED ASSESSMENT 5TH Grade
MATH & MATH PERFORMANCE TASK
N ECESSARY T ECH S KILLS 1) 2) 3) 4) 5) 6)
Click and drag Type in a box Familiarity with buttons within test (point, arrow, delete, etc.) Scroll up/down Placement of cursor Keyboarding: including arrows, tabs
W ORD P ROCESSING S KILLS 1) 2) 3) 4)
Bold, Italic, Underline Cut/Copy/Paste Undo/Redo Spelling/grammar skills
T EST B UTTONS T O K NOW 1) 2) 3) 4) 5) 6) 7)
Zoom In and Zoom Out Save Pause Back Next Information; notepad; flag On graphing sections: − Delete − Add Point − Add Arrow − Connect Line
P ERFORMANCE T ASK 1) Given a set area, students must plan how to use that area within a set of constraints. 2) Students must follow the following rules within a set perimeter: 1/4 carrots; 1/6 potatoes; 1/8 broccoli; 1/12 corn; in order to maximize the space, with the least amount of wasted space. 3) Write an equation using area to represent each planted crop. 7
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E XAMPLE T EST Q UESTIONS 1) 2) 3) 4) 5) 6) 7) 8) 9) 10) 11) 12) 13) 14) 15) 16) 17) 18) 19) 20) 21)
Order a set of expressions by less than, equal to, or greater than 15. Draw a rectangle on a grid with an area of 875 sq. units. Find area of a rectangle by multiplying mixed numbers. Adding mixed numbers. Equivalent measurement using metric measurement. Determine and draw the area and shape of a given word problem. Reasoning/logic problem. Division with money. Exponents (What is 104 ?) Draw a rectangle based on given dimensions or area. Division with fractions. Understand and use data from a line plot. Add a square to a figure to: increase, decrease, and equal the original measurement of the perimeter. Fill in boxes to complete a multiplication problem two ways. Find the coordinates of points on a Cartesian coordinate system. Convert liquid units of measurement (ex. gallons to cups, etc.) Show height of cubic volume of water given the length and width. Use another unit of measurement to determine surface area. Use different point values (ex. 5 points, 3 points, 2 points) to find a total number (in this case, 55 points). Write an expression based on information given. Find fractions that can be added using a common denominator.
N ECESSARY M ATH S KILLS /K NOWLEDGE 1) 2) 3) 4) 5) 6) 7) 8) 9) 10) 11) 12) 13) 14)
Evaluate an expression and correctly categorize on a chart Draw a shape based on given measurement(s); Ex. area, perimeter, length, width, etc. Multiply/divide/add mixed numbers Understand and convert equivalent linear and liquid measurements Use a series of clues to solve a logic problem Divide money (decimals) Understand basic exponents Understand/use a line plot Change a shape to adjust perimeter Understand/use Cartesian coordinate system and plots Solve cubic unit/area problems Use a key to solve an area problem Write an expression based on a word problem Find common denominators
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New Day Academy | 2014
I MPORTANT TEST VOCABULARY 1) 2) 3) 4) 5) 6) 7) 8) 9)
Equation Perimeter Area Common denominator Fraction Unit Square (unit) Cubic (unit) Numerator
10) 11) 12) 13) 14) 15) 16) 17) 18)
Denominator Statement Bar graph Expression Product Equal/equivalent Exponent Factors Length
19) 20) 21) 22) 23) 24) 25) 26)
Line plot Increase/decrease Coordinate Cartesian Coordinate System Point(s) Point value Numerical expression Measurement
Other important Information: You can review your answers several times before submitting; get help from an information button ( i ); note pad ( )for taking notes; and add a flag to review the question later ( ) .
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New Day Academy | 2014
SMARTER BALANCED ASSESSMENT 6TH Grade
MATH & MATH PERFORMANCE TASK
N ECESSARY T ECH S KILLS 1) 2) 3) 4) 5) 6)
Click and drag Type in a box Familiarity with buttons within test (point, arrow, delete, etc.) Scroll up/down Placement of cursor Keyboarding: including arrows, tabs
W ORD P ROCESSING S KILLS 1) 2) 3) 4)
Bold, Italic, Underline Cut/Copy/Paste Undo/Redo Spelling/grammar skills
T EST B UTTONS T O K NOW 1) 2) 3) 4) 5) 6) 7)
Zoom In and Zoom Out Save Pause Back Next Information; notepad; flag On graphing sections: − Delete − Add Point − Add Arrow − Connect Line
P ERFORMANCE T ASK 1) Using the dimensions of different cereal boxes increase the volume of the cereal while decreasing the amount of cardboard used. 2) The dimensions of the original cereal box are 12” high, 8” wide, 2” deep; the dimensions of a proposed box 10.5” high, 7.5” wide, 4” deep. 3) Find the volume and surface area of the original and proposed boxes. Design a new cereal box that has the same or greater volume and that uses less cardboard than the original box 10
New Day Academy | 2014
E XAMPLE T EST Q UESTIONS 1) 2) 3) 4) 5) 6) 7) 8) 9) 10) 11) 12) 13) 14) 15) 16) 17) 18) 19) 20) 21)
Order a set of expressions by: equal to, or not equal to 5.42 . Using fractions in a multi-‐step, multiplication/division problem. Using ratios within set parameters. Create/understand dot plot. Understanding multiplication of fractions. Solve least common multiple word problems. Create mathematical statements using less than, greater than, equal to, and absolute value. Order numbers by rounding to the nearest tenth and hundredth. Adding/subtracting negative and positive numbers. Plot coordinates on a graph for a geometric shape. Chart equations that are equivalent or not equivalent to 8(t+4) or 8t+4. Use ratios to design a mosaic. Find a dimension of a rectangle given the area and one dimension (in fractions). Calculate the dimensions of a three-‐dimensional figure, and draw the base. Repeated addition or multiplication of a decimal. Determine area of a trapezoid. Plot ordered pairs. Write an equation to solve a subtraction word problem. Read a statement and determine if there is variability in data or no variability in data. Read a graph and determine the median weight. Determine the volume of greeting cards produced and plot on a bar graph.
N ECESSARY M ATH S KILLS /K NOWLEDGE 1) 2) 3) 4) 5) 6) 7) 8) 9) 10) 11) 12) 13) 14) 15) 16) 17)
Multiply decimals Multiply fractions Multiply/divide/add mixed numbers Understand/use a plot data Multiply fractions Calculate least common multiple Understand positive/negative/absolute value numbers Round decimals to the nearest tenth or hundredth Subtract/add positive to negative numbers Plot points on a Cartesian coordinate system based on a geometric figure, and given points Understand/solve monomial and polynomial equations Use two sets of ratios to solve a word problem Solve area and/or dimensions given the area and a dimension in fractions Solve the volume and dimensions of a three-‐dimensional object. Understand the shapes of the sides of a three-‐dimensional object. Calculate area using Pythagorean Theorem and construct an equation Plot ordered pair 11
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18) 19) 20) 21)
Set up an equation from a word problem Examine data and evaluate whether or not there is variability in the data Evaluate a box-‐and-‐whisker plot for mean, median, mode Plot data on a bar graph
I MPORTANT TEST VOCABULARY 1) 2) 3) 4) 5) 6) 7) 8) 9)
Equation Expression Ratio Dot plot Least common multiple Absolute value Less than Greater than Equivalent
10) 11) 12) 13) 14) 15) 16) 17) 18)
Statement Tenth/hundredth Coordinate plane Dimension Volume Base Cubic units Pythagorean Theorem Ordered pair
19) 20) 21) 22) 23) 24) 25)
Variability in data Mean, median, mode Box-‐and-‐whisker plot Surface area Prism Cube Sphere
Other important Information: You can review your answers several times before submitting; get help from an information button ( i ); note pad ( )for taking notes; and add a flag to review the question later ( ) .
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New Day Academy | 2014
SMARTER BALANCED ASSESSMENT 7TH Grade
MATH & MATH PERFORMANCE TASK
N ECESSARY T ECH S KILLS 1) 2) 3) 4) 5) 6)
Click and drag Type in a box Familiarity with buttons within test (point, arrow, delete, etc.) Scroll up/down Placement of cursor Keyboarding: including arrows, tabs
W ORD P ROCESSING S KILLS 1) 2) 3) 4)
Bold, Italic, Underline Cut/Copy/Paste Undo/Redo Spelling/grammar skills
T EST B UTTONS T O K NOW 1) 2) 3) 4) 5) 6) 7)
Zoom In and Zoom Out Save Pause Back Next Information; notepad; flag On graphing sections: − Delete − Add Point − Add Arrow − Connect Line
P ERFORMANCE T ASK 1) Students must: create expressions to calculate calories from fat and calories from protein. 2) Students must evaluate if a sample food basket meets specified requirements; then explain their answer. 3) Change an aspect (ex. grain type) of the sample food basket and determine if the new basket will meet specified requirements; explain how the new food basket meets the requirements. 13
New Day Academy | 2014
E XAMPLE T EST Q UESTIONS 1) 2) 3) 4) 5) 6) 7) 8) 9) 10) 11) 12) 13) 14) 15) 16) 17) 18) 19) 20)
Evaluate data from a sample and answer a set of true/false questions. Evaluate a spinner and drag outcomes to the probability categories of ‘Less than 1/3’ or ‘Greater than 1/3’. Compute a wage plus 20%, then evaluate whether a set of equations will or will not compute the pay raise. Solve an algebraic expression for w, then identify other expressions that are equal to w. Using fractions and negative numbers, complete a set statements based on a given equation. Divide two fractions. Multiply and use fractions to calculate and fill in a display representing laps of a runner in miles. Use decimals/fractions to represent a ratio. Complete an expression to form a true equation. Set up and solve two basic algebraic expressions; design a fence by finding the multiples between a set of numbers. Determine the probability of an event and represent the probability by a fraction. Use a dot plot to evaluate data. Multiply a ratio and determine a ratio from a word problem. Using a price chart determine which combination of stationary supplies a student can purchase with $10. Determine the shape of a cross section of a rectangular prism. Determine and evaluate the cost of an item using percentages. Determine the number of combinations possible for purchasing a $2 item and a $3 item with $15. Draw the solution set on a number line. Calculate the amount of paint needed to paint a wall by finding the surface area to be painted. Evaluate a step-‐by-‐step solved equation for errors; then find the correct solution. Solve an equation using decimals.
N ECESSARY M ATH S KILLS /K NOWLEDGE 1) 2) 3) 4) 5) 6) 7) 8) 9) 10) 11) 12) 13) 14)
Evaluate sample data in a table. Understand and calculate probability and statistics. Compute and add percentages and whole numbers; represent computation by an equation(s). Solve an equation for a given variable and find equivalent expressions for the given variable. Substitute terms into an equation to make true statements. Advanced multiplication and division of fractions. Using ratios to solve a problem. Understanding algebraic properties (associative, commutative, identity, inverse, distributive, etc.). Set up and solve an algebraic expression based on a word problem. Read and evaluate a dot plot. Solve monetary word problems. Understand facets of three-‐dimensional shapes. Advanced word problems using area and dimension. Find errors in algebraic computation.
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New Day Academy | 2014
I MPORTANT TEST VOCABULARY 1) 2) 3) 4) 5) 6) 7)
Sample Representative sample Valid/validity Outcome Probability Expression Random
8) 9) 10) 11) 12) 13) 14)
Dot plot Equation Equivalent Algebraic properties Volume Surface area Prism
15) 16) 17) 18) 19)
Cube Sphere Dimension Ratio Combination
Other important Information: You can review your answers several times before submitting; get help from an information button ( i ); note pad ( )for taking notes; and add a flag to review the question later ( ) .
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New Day Academy | 2014
SMARTER BALANCED ASSESSMENT 8TH Grade
MATH & MATH PERFORMANCE TASK
N ECESSARY T ECH S KILLS 1) 2) 3) 4) 5) 6)
Click and drag Type in a box Familiarity with buttons within test (point, arrow, delete, etc.) Scroll up/down Placement of cursor Keyboarding: including arrows, tabs
W ORD P ROCESSING S KILLS 1) 2) 3) 4)
Bold, Italic, Underline Cut/Copy/Paste Undo/Redo Spelling/grammar skills
T EST B UTTONS T O K NOW 1) 2) 3) 4) 5) 6) 7)
Zoom In and Zoom Out Save Pause Back Next Information; notepad; flag On graphing sections: − Delete − Add Point − Add Arrow − Connect Line
P ERFORMANCE T ASK 1) 2) 3) 4) 5) 6)
Using a chart of pulse rates as they relate to an animal’s body weight, determine the line of best fit. Find the equation of the line. Interpret the slope of line as it relates to the data. Make a prediction about the pulse of a larger animal based on your equation. Reevaluate your above prediction. Does adding additional data to the original chart change the model of your equation? 16
New Day Academy | 2014
E XAMPLE T EST Q UESTIONS 1) 2) 3) 4) 5) 6) 7) 8) 9) 10) 11) 12) 13) 14) 15) 16) 17) 18) 19) 20) 21) 22) 23)
Draw a right triangle with a hypotenuse of 10. The sides must be whole numbers. Given the area of a square, solve for length of the sides (s). Calculate the area of two pizza sizes and determine which pizza choice will give the most pizza for the price. Find the sums of a positive and negative number to support and refute a claim. Shift and reflect an image on a Cartesian coordinate plane. Determine miles per gallon using mixed numbers. Graph a student’s trip using distance and time. Order rational and irrational numbers on a number line. Determine the shortest and longest hypotenuse of a right triangle given the lengths of two sides. Fill in a table based on percentages of a representative sample. Calculate the length of a segment given two sets of coordinates and the equation of the line. Graph a proportional relationship. Determine the height of a cone given the radius of the cone and given the volume and radius of the cone and a sphere are the same. Evaluate a solved linear equation and determine which statement is true. (Ex. There are infinite solutions). Complete an equation to produce an equation with: no solution, one solution, and infinite solutions. A triangle (! ABC) undergoes some or all of a list of transformations to become a new triangle (! DEF). Are the two triangles always, sometimes, or never congruent or similar? Explain. Using a table of one function, graph another function with the same rate of change. Looking at a graph write an equation for the line in slope-‐intercept form. Evaluate a solution to a multiplication/division word problem. Find the errors in the work and highlight the section in the word problem where the error occurred. Given a set of rules for a game, design a spinner with a probability of 10% winning plays. Evaluate a function and select a different equation with a greater rate of change. Graph a system of two equations with a single solution. Classify a set of numbers by: integer, irrational, rational, real
N ECESSARY M ATH S KILLS /K NOWLEDGE 1) 2) 3) 4) 5) 6) 7) 8) 9) 10) 11) 12)
Trigonometry Pythagorean Theorem Determine a square root Calculate the area of a circle Find the sum of a positive and a negative number Manipulating a figure on a Cartesian graph Multiplying and dividing mixed numbers Graphing rise over run Understand/use irrational numbers Calculate miles per gallon Calculate and chart percentages based on a representative sample Determine length, position, slope, etc. of a line and/or line segment 17
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13) Calculate and graph a proportional relationship 14) Calculate volume/height of a cone or sphere 15) Determine the solution of a linear system (no solution; infinite solution; x or y = number; etc.) 16) Evaluate and synthesize transformations of a triangle 17) Evaluate functions based on (x,y) coordinates and rate of change 18) Understand/use slope-‐intercept form and linear equations 19) Evaluate information in a word problem 20) Probability/statistics 21) Calculate range of change 22) Determine and graph an equation, given the solution 23) Determine whether a number(s) is/are rational, irrational, real, or integers
I MPORTANT TEST VOCABULARY 1) 2) 3) 4) 5) 6) 7) 8) 9) 10) 11)
Pi Square root Irrational number Diameter Radius Vertical Horizontal Reflection of a triangle Rotation of a triangle Dilation of a triangle Translation of a triangle
12) Transformation of a triangle 13) Congruent 14) Similar 15) x-‐axis 16) y-‐axis 17) Right triangle 18) Line segment 19) Proportional relationship 20) Cone
21) 22) 23) 24) 25) 26) 27)
Sphere Linear system Linear equation Solution Rate of change Slope-‐intercept form Integer, irrational, rational, or real number
Other important Information: You can review your answers several times before submitting; get help from an information button ( i ); note pad ( )for taking notes; and add a flag to review the question later ( ) .
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New Day Academy | 2014
SMARTER BALANCED ASSESSMENT 11TH Grade
MATH & MATH PERFORMANCE TASK
N ECESSARY T ECH S KILLS 1) 2) 3) 4) 5) 6)
Click and drag Type in a box Familiarity with buttons within test (point, arrow, delete, etc.) Scroll up/down Placement of cursor Keyboarding: including arrows, tabs
W ORD P ROCESSING S KILLS 1) 2) 3) 4)
Bold, Italic, Underline Cut/Copy/Paste Undo/Redo Spelling/grammar skills
T EST B UTTONS T O K NOW 1) 2) 3) 4) 5) 6) 7)
Zoom In and Zoom Out Save Pause Back Next Information; notepad; flag On graphing sections: − Delete − Add Point − Add Arrow − Connect Line
P ERFORMANCE T ASK 1) 2) 3) 4)
Analyze two speeding ticket fine systems (New York and Massachusetts). Plot the fines for the Massachusetts system in increments of five miles over the speed limit. Create an equation to calculate the MA fine based on the number of mph over the speed limit. Using data from a sample of actual fines in NY, create a piecewise linear model with two given line segments that approximate the line of best fit. 5) Using the model above, create an equation for the first line segment. 6) Using the model above, create an equation for the second line segment. 19 New Day Academy | 2014
7) Evaluate the answers and respond to the original claim citing specific examples.
E XAMPLE T EST Q UESTIONS 1) 2) 3) 4) 5) 6) 7) 8) 9) 10) 11) 12) 13) 14) 15) 16) 17) 18) 19) 20) 21)
On a graph, drag a parabola to represent a given equation. Determine zeros of a given function. Solve for the exponent of x. Evaluate a graph of a polynomial and determine a possible function for the graph. Complete an algebraic statement based on the solution on a number line. Given an initial charge ($) and a daily charge ($), and a total charge ($) of a rental car, set up an equation to determine the number of days the car was rented. Find the solution of two functions given the inputs and outputs of the functions, and show the solution on a number line. Evaluate radical equations and identify the equations that have integer solutions. Evaluate the following equation: y = a |x+b|+c . Replace a, b, and c so that the equation has two roots, no roots, and a third (different) number of roots. Given a graph of two functions, drag points to show solutions for: y = f(x) only; y = g(x) only; and f(x) = g(x). Plot three solutions to an equation with a radical in the denominator. Evaluate the triangle ABC (where C is a right angle) and place possible measures of A in columns labeled: cos A < sin A ; cos A = sin A ; cos A > sin A Select values for radicand variables so that the equation: has no solution; infinite solutions; and find b when a = 1 and x = 2 . Given a probability based on grade and gender, show how the probability is true. Plot translations of one function to the graph of another function (already graphed). Evaluate a graph of an insect’s flight. Mark the distance farthest from the starting point, and the point where the insect returns to the starting point. Evaluate a bell curve with a standard deviation of 3 and determine the approximate point where 25% of the women are shorter and 75% are taller than the mean. Given the same hypotenuse ( 130 units), draw a right triangle with a perimeter of 14 + 130 units and a right triangle with a perimeter of 16 + 130 units. Determine an equation to solve for the volume of a rectangular prism and hemisphere. Evaluate the y-‐intercept of two functions of x . Given a graph of an exponential function, find the value of f(6).
N ECESSARY M ATH S KILLS /K NOWLEDGE 1) 2) 3) 4) 5) 6) 7) 8) 9)
Algebra Solve multiplication and division of exponents within an algebraic expression Determine a possible function based on a graph of a polynomial function Evaluate a number line to determine whether the algebraic statement is an inequality or equality Given a set of information, create an equation for the data Find a solution(s) of two functions Understand and solve equations using radicals Understand/use two functions to find equations and solutions Solve equations with radicals 20 New Day Academy | 2014
10) 11) 12) 13) 14) 15) 16) 17) 18) 19)
Common trigonometric functions Determine when an equation has an infinite number of solutions or no solution Use probability to determine population for each group in the sample Translate graphs of f(x) or g(x) etc. Understand/use a basic graph of a function or event Analyze a graph using mean, standard deviation, and other statistics/probability tools Find the dimensions of a right triangle given the hypotenuse and perimeter Understand/use equations to solve for the volume of three-‐dimensional objects in terms of x Understand how a function of x influences the y-‐intercept and rise of the graph Solve for values of x when give the function f(x)
I MPORTANT TEST VOCABULARY 1) 2) 3) 4) 5) 6) 7)
Parabola Function f(x) or function of x Polynomial function Inequality Input Output
8) 9) 10) 11) 12) 13) 14)
Solution Radicand Radical Roots Cosine Sine Tangent
15) 16) 17) 18) 19) 20) 21)
Probability Sample Translation (of a graph) Standard deviation Bell curve y-‐intercept Exponential function
Other important Information: You can review your answers several times before submitting; get help from an information button ( i ); note pad ( )for taking notes; and add a flag to review the question later ( ) .
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