high school mathematics test booklet - cognia · 2019. 9. 9. · b = 1 b = 2 b = 7 here is a...

High School MathematicsTest Booklet

Table of Contents

Algebra 1 ........................................................................................3

Geometry ......................................................................................13

Student Name: ______________________________________

Practice Test2019–2020

Florida Standards Alternate AssessmentPractice Materials Guidelines

Practice items are to be administered using guidelines provided in the FSAA—Performance Task Test Administration Manual.

Practice materials provide teachers and students with the opportunity to become familiar with the assessment materials, the administration of the assessment, the type of preparation needed by the teacher, the anticipated student mode of communication to answer selected- and open-response items, pacing, administration duration, and more. Practice materials are not secure, and, therefore, any part of the materials may be reproduced.

Practice materials circulated this year should not be discarded, shredded, or returned to Alternate Assessment Coordinators after use. Practice materials can be used throughout the school year and from one year to the next as a tool for students and teachers to gain greater familiarity with the administration of the FSAA—Performance Task.

Please contact your district Alternate Assessment Coordinator with any questions or concerns related to the use of practice materials.

1

Florida Standards Alternate AssessmentHigh School Mathematics

Content Standards Addressed

Florida State Standards

Algebra 1Statistics and Probability: Interpreting Categorical & Quantitative DataMAFS.912.S-ID.3.9

Algebra: Creating EquationsMAFS.912.A-CED.1.1MAFS.912.A-CED.1.3

Functions: Interpreting FunctionsMAFS.912.F-IF.2.4

GeometrySimilarity, Right Triangles, & TrigonometryMAFS.912.G-SRT.1.2

CirclesMAFS.912.G-C.1.1

CongruenceMAFS.912.G-CO.1.1MAFS.912.G-CO.1.3

Teacher-Gathered Mater ia ls

None

3

High School Mathematics

Algebra 1

Item continued on the next page

Item 1Florida Standards Access Point: Create linear, quadratic, rational, and exponential equations and inequalities in one variable and use them in a contextual situation to solve problems.

Task 1

Materials Teacher Script Student Response

Response Booklet: page 3

Stimulus picture card:

(sealed bag with two hearts and three stars in it)

Equation strips:

s = n

s = 2 + 3

s = 4 × 6

Here is a picture of a bag of shapes. The total number of shapes in the bag is equal to the number of hearts plus the number of stars.Here are some equations. The letter s stands for the total number of shapes in a bag.Which equation can be used to find the total number of shapes, s?Read the equation strips to the student.

\ A: s = n

\ B: s = 2 + 3

\ C: s = 4 × 6

\ D: No Response

Scaffolded Response (when applicable)\ A: s = n

\ B: s = 2 + 3

\ C: s = 4 × 6

\ D: No Response

Task 2




sealed bag with 3 hearts and 1 star in it

Word/picture cards:

chart A

chart B

chart C

Flint is putting shapes in a bag for a math activity. For every one star, he puts three hearts in the bag.Which chart shows the correct number of hearts for each number of stars in the bag?All three charts show the number of stars and the number of hearts and is titled Number of Shapes in a Bag. Chart A shows that for one star, there are three hearts. For two stars, there are six hearts. For three stars, there are nine hearts. Chart B shows that for one star, there are three hearts. For two stars, there are three hearts. For three stars, there are three hearts. Chart C shows that for one star, there is one heart. For two stars, there are two hearts. For three stars, there are three hearts.

\ A: chart A

\ B: chart B

\ C: chart C

\ D: No Response

5Algebra 1

Task 3



Stimulus word/picture card:

Flint’s Shapes chart

Equation strips:

h – 4 = 3

3 × 4 = h

h + 3 = 4

Here is a chart. It shows how many shapes Flint puts in each bag. It is titled Flint’s Shapes. Flint puts three times as many hearts, h, as stars, s, in his bag. For one star, there are three hearts. For two stars, there are six hearts. For three stars, there are nine hearts. For four stars, the number of hearts is not shown.Here are some equations. The letter h stands for the total number of hearts in the bag.Which equation can be used to find the number of hearts, h, Flint puts in a bag with four stars?Read the equation strips to the student.

\ A: h – 4 = 3

\ B: 3 × 4 = h

\ C: h + 3 = 4

\ D: No Response


Item 2Florida Standards Access Point: Identify and interpret the solution of a system of linear equations from a real-world context that has been graphed.

Task 1



Stimulus picture strip:

4 books

Number/picture strips:

b = 1

b = 2

b = 7

Here is a picture of four books. Simon has more than four books.Here are some pictures with equations. The letter b stands for the number of books.Which equation shows the number of books, b, Simon could have?Read the number/picture strips to the student.

\ A: b = 1

\ B: b = 2

\ C: b = 7

\ D: No Response

Scaffolded Response (when applicable)\ A: b = 1

\ B: b = 2

\ C: b = 7

\ D: No Response

Task 2



Stimulus equation strip:

x + 6 = 10

Number cards:

4

12

16

Here is an equation.Read the stimulus equation strip to the student.

Which number, when substituted for x, makes the equation true?Read the number cards to the student.

\ A: 4

\ B: 12

\ C: 16

\ D: No Response

7Algebra 1

Task 3




Canoe Rental graph

Number cards:

5 hours

6 hours

7 hours

Here is a graph. It shows the cost to rent a canoe from two different people. It is titled Canoe Rental. The x-axis is labeled Hours. It begins at zero and increases to seven by units of one. The y-axis is labeled Cost. It begins at zero and increases to seventy dollars by units of ten. Ben charges fifty dollars for up to seven hours. Carl charges ten dollars per hour. There is a solid line on the graph that represents Ben’s canoe rental. The solid line is a horizontal line at y equals fifty dollars. There is a dotted line on the graph that represents Carl’s canoe rental. The dotted line goes through the points (four, forty), (five, fifty), and (six, sixty).At which number of hours is the cost of renting a canoe from Ben and Carl the same?Read the number cards to the student.

\ A: 5 hours

\ B: 6 hours

\ C: 7 hours

\ D: No Response

Item 3

Florida Standards Access Point: Recognize and interpret the key features of a function.

Task 1




graph with heart

Word/picture cards:

quarter

heart

mug

Here is a graph. The maximum is the highest point plotted on the graph. Which object shows the maximum of the graph?Read the word/picture cards to the student.

\ A: quarter

\ B: heart

\ C: mug

\ D: No Response

Scaffolded Response (when applicable)\ A: quarter

\ B: heart

\ C: mug

\ D: No Response

Task 2




graph with maximum at (0, 2)

Stimulus number card:

(0, 4)

Word/picture cards:

graph A

graph B

graph C

Here is a graph. It shows a maximum at the ordered pair (zero, two). The maximum is the highest point on a graph. Point to the stimulus picture card.

Here is the ordered pair (zero, four). Point to the stimulus number card.

Which graph has a maximum at the ordered pair (zero, four)? Point to the stimulus number card.

All three graphs show both the x-axis and the y-axis beginning at negative four and increasing to four by units of one.

\ A: graph A

\ B: graph B

\ C: graph C

\ D: No Response


9Algebra 1 .

Task 3




graph of parabola

Number cards:

(0, 2)

(0, –2)

(2, 0)

Here is a graph. The x-axis and the y-axis begin at negative four and increase to four by units of one. The maximum of the graph is ( x equals two, y equals zero).The x-intercept is the point where the graph of an equation intersects the x-axis.What is the x-intercept of the graph?Read the number cards to the student.

\ A: (0, 2)

\ B: (0, –2)

\ C: (2, 0)

\ D: No Response

Item 4

Florida Standards Access Point: Given a correlation in a real-world scenario, determine if there is causation.

Task 1



Stimulus picture card:rain gauge

Word/picture cards:

rain

flag

clock

Here is a picture of a rain gauge. A rain gauge is used to measure the amount of rainfall.What can cause the rain gauge to fill with water?Read the word/picture cards to the student.

\ A: rain

\ B: flag

\ C: clock

\ D: No Response

Scaffolded Response (when applicable)\ A: rain

\ B: flag

\ C: clock

\ D: No Response

Task 2



Stimulus word/picture card:Time to Boil Soup graph

Sentence strips:

As the number of cups of soup increases, the time it takes to boil decreases.

As the number of cups of soup increases, the time it takes to boil increases.

As the number of cups of soup increases, the time it takes to boil stays the same.

Here is a graph. It shows the relationship between the number of cups of soup and the amount of time it takes the soup to boil. The graph is titled Time to Boil Soup. The x-axis is labeled Soup in cups. It begins at zero and increases to six by units of one. The y-axis is labeled Time in minutes. It begins at zero and increases to four by units of one. There is one line on the graph. It starts in the lower left corner and points toward the upper right corner.What is the relationship between the number of cups of soup and the time it takes the soup to boil?Read the sentence strips to the student.

\ A: As the number of cups of soup increases, the time it takes to boil decreases.

\ B: As the number of cups of soup increases, the time it takes to boil increases.

\ C: As the number of cups of soup increases, the time it takes to boil stays the same.

\ D: No Response


11Algebra 1 .

Task 3



Stimulus word/picture card:Study Time and Test Score graph

Sentence strips:

More study hours do not affect test scores.

More study hours cause lower test scores.

More study hours cause higher test scores.

Here is a scatter plot. It shows the relationship between time spent studying for a math test and the test score. The scatter plot is titled Study Time and Test Score. The x-axis is labeled Study Hours. It begins at zero and increases to five by units of one. The y-axis is labeled Math Test Score. It begins at fifty and increases to one hundred by units of ten. There are nine points. The points are located on the graph from the bottom left side to the upper right side.Causation is a relationship in which one event causes another event to occur.What is the effect of more study hours on test scores?Read the sentence strips to the student.

\ A: More study hours do not affect test scores.

\ B: More study hours cause lower test scores.

\ C: More study hours cause higher test scores.

\ D: No Response

13

High School Mathematics

Geometry

Item 1Florida Standards Access Point: Identify precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc.

Task 1



Word/picture cards:

circle

trapezoid

point

Which picture contains an angle?Read the word/picture cards to the student.

\ A: circle

\ B: trapezoid

\ C: point

\ D: No Response

Scaffolded Response (when applicable)\ A: circle

\ B: trapezoid

\ C: point

\ D: No Response

Task 2



Stimulus word cards:

shapes with anglesshapes without angles

Cutout word/picture cards:

octagon

circle

trapezoid

oval

Here are two ways to sort shapes. Point to and read the stimulus word cards to the student.

Place the cutout word/picture cards on the work surface.

Here are four shapes to sort into two groups: shapes with angles and shapes without angles.Which shapes go in each group?Read the cutout word/picture cards to the student.

Indicate:shapes with angles• octagon• trapezoidshapes without angles• circle• oval

\ A: Correct

\ B: Incorrect

\ C: No Response

To achieve a score of “correct,” student must correctly sort all four shapes.


15Geometry

Task 3




2 roads (two roads that cross forming two acute angles and two obtuse angles)

Word cards:

parallel

perpendicular

neither parallel nor perpendicular

Here is a picture of two roads.Which way correctly describes these two roads? Point to the stimulus picture card.

Read the word cards to the student.

\ A: parallel

\ B: perpendicular

\ C: neither parallel nor perpendicular

\ D: No Response

Item 2

Florida Standards Access Point: Determine if two figures are similar.

Task 1




quarter

Picture cards:

(scissors)

(envelope)

(round clock)

Objects that are similar have the same shape but do not have to be the same size.Here is a picture of a quarter.Which object has a shape that is similar to the quarter?

\ A: scissors

\ B: envelope

\ C: round clock

\ D: No Response

Scaffolded Response (when applicable)\ A: scissors

\ B: envelope

\ C: round clock

\ D: No Response

Task 2




Jim’s garden

Word/picture cards:

garden A (six by ten rectangle)

garden B (eight by fifteen trapezoid)

garden C (three by twenty-four rectangle)

Here is a picture of Jim’s rectangular garden, which measures twelve feet by twenty feet.Read the stimulus word/picture card to the student, pointing to the measurements as they are read.

Two rectangles are similar if their corresponding side lengths are equal in ratio.Which garden is similar to Jim’s garden?Read the word/picture cards to the student, pointing to the measurements as they are read.

\ A: garden A

\ B: garden B

\ C: garden C

\ D: No Response


17Geometry

Task 3




triangle

Word/picture cards:

triangle A (triangle with side lengths of five, seven, and nine)

triangle B (triangle with side lengths of six, eight, and ten)

triangle C (triangle with side lengths of eight, ten, and twelve)

Here is a triangle with side lengths of three, four, and five meters. Point to the measurements on the stimulus picture card as they are read.

Two triangles are similar if corresponding angle measures are equal and corresponding side lengths are equal in ratio.Which triangle is similar to this triangle? Point to the stimulus picture card.

Read the word/picture cards to the student, pointing to the measurements as they are read.

\ A: triangle A

\ B: triangle B

\ C: triangle C

\ D: No Response

Item 3

Florida Standards Access Point: Compare the ratio of diameter to circumference for several circles to establish all circles are similar.

Task 1




DVD

Word/picture cards:

dime

book

pen

Here is a picture of a DVD. It is in the shape of a circle.Which object has a shape similar to the DVD?Read the word/picture cards to the student.

\ A: dime

\ B: book

\ C: pen

\ D: No Response

Scaffolded Response (when applicable)\ A: dime

\ B: book

\ C: pen

\ D: No Response

Task 2



Stimulus picture cards:

small plate next to large plate

small plate on top of large plate

Sentence strips:

The small plate is broken.

The plates are the same shape but different sizes.

The distance around the large plate is the same as the distance around the small plate.

Here is a picture of two circular plates. The small plate is next to the large plate. The small plate is similar to the large plate. Point to the first stimulus picture card.

The small plate is placed on top of the large plate. Point to the second stimulus picture card.

How do you know the plates are similar?Read the sentence strips to the student.

\ A: The small plate is broken.

\ B: The plates are the same shape but different sizes.

\ C: The distance around the large plate is the same as the distance around the small plate.

\ D: No Response


19Geometry .

Task 3



Stimulus number/picture strip:

3 circles with ratios

Sentence strips:

All circles have the same diameter.

All circles have the same circumference but a different diameter.

All circles are the same shape but may be different sizes—they are all similar.

Here are three circles with their diameters. Each circle is shown with the ratio of its diameter to its circumference. Two over two pi equals one over pi. Three over three pi equals one over pi. Four over four pi equals one over pi. Point to each ratio as it is read to the student.

Which sentence is true?Read the sentence strips to the student.

\ A: All circles have the same diameter.

\ B: All circles have the same circumference but a different diameter.

\ C: All circles are the same shape but may be different sizes—they are all similar.

\ D: No Response

Item 4Florida Standards Access Point: Describe the rotations and reflections of a rectangle, parallelogram, trapezoid, or regular polygon that maps each figure onto itself.

Task 1




coordinate plane with points ABC

Word/picture cards:

calculator

protractor

triangle

Here is a coordinate plane. It shows three points that have been connected to make a shape. Point to and read the labeled points on the coordinate plane in order to the student.

What is the name of the shape on the coordinate plane?Read the word/picture cards to the student.

\ A: calculator

\ B: protractor

\ C: triangle

\ D: No Response

Scaffolded Response (when applicable)\ A: calculator

\ B: protractor

\ C: triangle

\ D: No Response

Task 2




triangle

Word/picture cards:

shape A

shape B

shape C

Here is a right triangle.A rotation turns a shape.Which is the same triangle after a rotation?Read the word/picture cards to the student.

\ A: shape A

\ B: shape B

\ C: shape C

\ D: No Response


21Geometry .

Task 3




coordinate plane with triangle A and triangle B

Word cards:

translation

rotation

reflection

Here are two triangles on a coordinate plane. Triangle A was transformed to create triangle B.Which transformation was used to move triangle A to the location of triangle B?Read the word cards to the student.

\ A: translation

\ B: rotation

\ C: reflection

\ D: No Response

high school mathematics test booklet - cognia · 2019. 9. 9. · b = 1 b = 2 b = 7 here is a...

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