MathCoach® Interactive for K–5

Where kids get really good at math!

Arithmetic is being able to count up to twenty without taking off your shoes.
Mickey Mouse
Care. Share. Be Fair.
Anonymous Kindergartener
Numbers are the four, five, six, seven,
eight wonders of the world!
The Mathemagician (The Phantom Tollbooth)

4th Grade Assessments

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Cumulative By Strand By Standard

-Test 1-

  • Cumulative Test Student Pages previewdownload
  • Cumulative Test Teacher Guide previewdownload

-Test 2-

  • Cumulative Test Student Pages previewdownload
  • Cumulative Test Teacher Guide previewdownload

-Test 3-

  • Cumulative Test Student Pages previewdownload
  • Cumulative Test Teacher Guide previewdownload

-Test 4-

  • Cumulative Test Student Pages previewdownload
  • Cumulative Test Teacher Guide previewdownload

-Supporting Materials-

  • Cumulative Test -Supporting Materials-previewdownload

Number Sense

  • Test set #1previewdownload
  • Test set #2previewdownload
  • Test set #3previewdownload

Algebra and Functions

  • Test set #1previewdownload
  • Test set #2previewdownload
  • Test set #3previewdownload

Measurement and Geometry

  • Test set #1previewdownload
  • Test set #2previewdownload
  • Test set #3previewdownload

Statistics, Data Analysis, and Probability

  • Test set #1previewdownload
  • Test set #2previewdownload
  • Test set #3previewdownload

AnswerKey

  • Test set #Standards-Based Assessment -Answer Key-previewdownload

Supporting Materials

  • Test set #Standards-Based Assessment Supporting Materialspreviewdownload

Number Sense

  • Read and write whole numbers in the millions.

    • Read and Write Whole Numbers - Test set #1previewdownload
    • Read and Write Whole Numbers - Test set #2previewdownload
    • Read and Write Whole Numbers - Test set #3previewdownload
  • Order and compare whole numbers and decimals to two decimal places.

    • Compare and Order Whole Numbers and Decimals - Test set #1previewdownload
    • Compare and Order Whole Numbers and Decimals - Test set #2previewdownload
    • Compare and Order Whole Numbers and Decimals - Test set #3previewdownload
  • Round whole numbers through the millions to the nearest ten, hundred, thousand, ten thousand, or hundred thousand.

    • Round Whole Number and Rounded Solutions - Test set #1previewdownload
    • Round Whole Number and Rounded Solutions - Test set #2previewdownload
    • Round Whole Number and Rounded Solutions - Test set #3previewdownload
  • Decide when a rounded solution is called for and explain why such a solution may be appropriate.

    • Round Whole Number and Rounded Solutions - Test set #1previewdownload
    • Round Whole Number and Rounded Solutions - Test set #2previewdownload
    • Round Whole Number and Rounded Solutions - Test set #3previewdownload
  • Explain different interpretations of fractions, for example, parts of a whole, parts of a set, and division of whole numbers by whole numbers; explain equivalents of fractions (see Standard 4.0).

    • Interpret Fractions - Test set #1previewdownload
    • Interpret Fractions - Test set #2previewdownload
    • Interpret Fractions - Test set #3previewdownload
  • Write tenths and hundredths in decimal and fraction notations and know the fraction and decimal equivalents for halves and fourths (e.g., 1/2 = 0.5 or .50; 7/4 = 1 3/4 = 1.75).

    • Fractions and Decimals - Test set #1previewdownload
    • Fractions and Decimals - Test set #2previewdownload
    • Fractions and Decimals - Test set #3previewdownload
  • Write the fraction represented by a drawing of parts of a figure; represent a given fraction by using drawings; and relate a fraction to a simple decimal on a number line.

    • Interpret Fractions - Test set #1previewdownload
    • Interpret Fractions - Test set #2previewdownload
    • Interpret Fractions - Test set #3previewdownload
  • Use concepts of negative numbers (e.g., on a number line, in counting, in temperature, in ?owing?).

    • Understand Integers - Test set #1previewdownload
    • Understand Integers - Test set #2previewdownload
    • Understand Integers - Test set #3previewdownload
  • Identify on a number line the relative position of positive fractions, positive mixed numbers, and positive decimals to two decimal places.

    • Decimals on a Number Line - Test set #1previewdownload
    • Decimals on a Number Line - Test set #2previewdownload
    • Decimals on a Number Line - Test set #3previewdownload
  • Estimate and compute the sum or difference of whole numbers and positive decimals to two places.

    • Add and Subtract - Test set #1previewdownload
    • Add and Subtract - Test set #2previewdownload
    • Add and Subtract - Test set #3previewdownload
  • Round two-place decimals to one decimal or the nearest whole number and judge the reasonableness of the rounded answer.

    • Round Decimals and Judge Reasonableness of Answers - Test set #1previewdownload
    • Round Decimals and Judge Reasonableness of Answers - Test set #2previewdownload
    • Round Decimals and Judge Reasonableness of Answers - Test set #3previewdownload
  • Demonstrate an understanding of, and the ability to use, standard algorithms for the addition and subtraction of multidigit numbers.

    • Add and Subtract - Test set #1previewdownload
    • Add and Subtract - Test set #2previewdownload
    • Add and Subtract - Test set #3previewdownload
  • Demonstrate an understanding of, and the ability to use, standard algorithms for multiplying a multidigit number by a two-digit number and for dividing a multidigit number by a one-digit number; use relationships between them to simplify computations and to check results.

    • Multiply and Divide - Test set #1previewdownload
    • Multiply and Divide - Test set #2previewdownload
    • Multiply and Divide - Test set #3previewdownload
  • Solve problems involving multiplication of multidigit numbers by two-digit numbers.

    • Solve Problems Involving Multiplication and Division - Test set #1previewdownload
    • Solve Problems Involving Multiplication and Division - Test set #2previewdownload
    • Solve Problems Involving Multiplication and Division - Test set #3previewdownload
  • Solve problems involving division of multidigit numbers by one-digit numbers.

    • Solve Problems Involving Multiplication and Division - Test set #1previewdownload
    • Solve Problems Involving Multiplication and Division - Test set #2previewdownload
    • Solve Problems Involving Multiplication and Division - Test set #3previewdownload
  • Understand that many whole numbers break down in different ways (e.g., 12 = 4 * 3 = 2 * 6 = 2 * 2 * 3).

    • Factor Numbers and Identify Prime Numbers - Test set #1previewdownload
    • Factor Numbers and Identify Prime Numbers - Test set #2previewdownload
    • Factor Numbers and Identify Prime Numbers - Test set #3previewdownload
  • Know that numbers such as 2, 3, 5, 7, and 11 do not have any factors except 1 and themselves and that such numbers are called prime numbers.

    • Factor Numbers and Identify Prime Numbers - Test set #1previewdownload
    • Factor Numbers and Identify Prime Numbers - Test set #2previewdownload
    • Factor Numbers and Identify Prime Numbers - Test set #3previewdownload

Algebra and Functions

  • Use letters, boxes, or other symbols to stand for any number in simple expressions or equations (e.g., demonstrate an understanding and the use of the concept of a variable).

    • Use Variables - Test set #1previewdownload
    • Use Variables - Test set #2previewdownload
    • Use Variables - Test set #3previewdownload
  • Interpret and evaluate mathematical expressions that now use parentheses.

    • Evaluate Expressions - Test set #1previewdownload
    • Evaluate Expressions - Test set #2previewdownload
    • Evaluate Expressions - Test set #3previewdownload
  • Use parentheses to indicate which operation to perform first when writing expressions containing more than two terms and different operations.

    • Evaluate Expressions - Test set #1previewdownload
    • Evaluate Expressions - Test set #2previewdownload
    • Evaluate Expressions - Test set #3previewdownload
  • Use and interpret formulas (e.g., area = length * width or A = lw) to answer questions about quantities and their relationships.

    • Use Formulas - Test set #1previewdownload
    • Use Formulas - Test set #2previewdownload
    • Use Formulas - Test set #3previewdownload
  • Understand that an equation such as y = 3x + 5 is a prescription for determining a second number when a first number is given.

    • Equations with 2 Variables - Test set #1previewdownload
    • Equations with 2 Variables - Test set #2previewdownload
    • Equations with 2 Variables - Test set #3previewdownload
  • Know and understand that equals added to equals are equal.

    • Equals Added to Equals - Test set #1previewdownload
    • Equals Added to Equals - Test set #2previewdownload
    • Equals Added to Equals - Test set #3previewdownload
  • Know and understand that equals multiplied by equals are equal.

    • Equals Multiplied by Equals - Test set #1previewdownload
    • Equals Multiplied by Equals - Test set #2previewdownload
    • Equals Multiplied by Equals - Test set #3previewdownload

Measurement and Geometry

  • Measure the area of rectangular shapes by using appropriate units, such as square centimeter (cm2), square meter (m 2), square kilometer (km 2), square inch (in 2), square yard (yd2), or square mile (mi 2).

    • Formulas for Area and Perimeters - Test set #1previewdownload
    • Formulas for Area and Perimeters - Test set #2previewdownload
    • Formulas for Area and Perimeters - Test set #3previewdownload
  • Recognize that rectangles that have the same area can have different perimeters.

    • Relationship Between Perimeter and Area - Test set #1previewdownload
    • Relationship Between Perimeter and Area - Test set #2previewdownload
    • Relationship Between Perimeter and Area - Test set #3previewdownload
  • Understand that rectangles that have the same perimeter can have different areas.

    • Relationship Between Perimeter and Area - Test set #1previewdownload
    • Relationship Between Perimeter and Area - Test set #2previewdownload
    • Relationship Between Perimeter and Area - Test set #3previewdownload
  • Understand and use formulas to solve problems involving perimeters and areas of rectangles and squares. Use those formulas to find the areas of more complex figures by dividing the figures into basic shapes.

    • Formulas for Area and Perimeters - Test set #1previewdownload
    • Formulas for Area and Perimeters - Test set #2previewdownload
    • Formulas for Area and Perimeters - Test set #3previewdownload
  • Draw the points corresponding to linear relationships on graph paper (e.g., draw 10 points on the graph of the equation y = 3x and connect them by using a straight line).

    • Linear Relationships - Test set #1previewdownload
    • Linear Relationships - Test set #2previewdownload
    • Linear Relationships - Test set #3previewdownload
  • Understand that the length of a horizontal line segment equals the difference of the x-coordinates.

    • Length of Horizontal and Vertical Line Segments - Test set #1previewdownload
    • Length of Horizontal and Vertical Line Segments - Test set #2previewdownload
    • Length of Horizontal and Vertical Line Segments - Test set #3previewdownload
  • Understand that the length of a vertical line segment equals the difference of the y-coordinates.

    • Length of Horizontal and Vertical Line Segments - Test set #1previewdownload
    • Length of Horizontal and Vertical Line Segments - Test set #2previewdownload
    • Length of Horizontal and Vertical Line Segments - Test set #3previewdownload
  • Identify lines that are parallel and perpendicular.

    • Identify Parallel and Perpendicular Lines - Test set #1previewdownload
    • Identify Parallel and Perpendicular Lines - Test set #2previewdownload
    • Identify Parallel and Perpendicular Lines - Test set #3previewdownload
  • Identify the radius and diameter of a circle.

    • Identify Radius and Diameter - Test set #1previewdownload
    • Identify Radius and Diameter - Test set #2previewdownload
    • Identify Radius and Diameter - Test set #3previewdownload
  • Identify congruent figures.

    • Identify Congruence and Symmetry - Test set #1previewdownload
    • Identify Congruence and Symmetry - Test set #2previewdownload
    • Identify Congruence and Symmetry - Test set #3previewdownload
  • Identify figures that have bilateral and rotational symmetry.

    • Identify Congruence and Symmetry - Test set #1previewdownload
    • Identify Congruence and Symmetry - Test set #2previewdownload
    • Identify Congruence and Symmetry - Test set #3previewdownload
  • Know the definitions of a right angle, an acute angle, and an obtuse angle. Understand that 90 degrees, 180 degrees, 270 degrees, and 360 degrees are associated, respectively, with 1/4, 1/2, 3/4, and full turns.

    • Identify Right, Acute, and Obtuse Angles - Test set #1previewdownload
    • Identify Right, Acute, and Obtuse Angles - Test set #2previewdownload
    • Identify Right, Acute, and Obtuse Angles - Test set #3previewdownload
  • Visualize, describe, and make models of geometric solids (e.g., prisms, pyramids) in terms of the number and shape of faces, edges, and vertices; interpret two-dimensional representations of three-dimensional objects; and draw patterns (of faces) for a solid that, when cut and folded, will make a model of the solid.

    • Identify Models of Geometric Solids - Test set #1previewdownload
    • Identify Models of Geometric Solids - Test set #2previewdownload
    • Identify Models of Geometric Solids - Test set #3previewdownload
  • Know the definitions of different triangles (e.g., equilateral, isosceles, scalene) and identify their attributes.

    • Identify Triangles and Quadrilaterals - Test set #1previewdownload
    • Identify Triangles and Quadrilaterals - Test set #2previewdownload
    • Identify Triangles and Quadrilaterals - Test set #3previewdownload
  • Know the definition of different quadrilaterals (e.g., rhombus, square, rectangle, parallelogram, trapezoid).

    • Identify Triangles and Quadrilaterals - Test set #1previewdownload
    • Identify Triangles and Quadrilaterals - Test set #2previewdownload
    • Identify Triangles and Quadrilaterals - Test set #3previewdownload

Statistics, Data Analysis, and Probability

  • Formulate survey questions; systematically collect and represent data on a number line; and coordinate graphs, tables, and charts.

    • Represent Data - Test set #1previewdownload
    • Represent Data - Test set #2previewdownload
    • Represent Data - Test set #3previewdownload
  • Identify the mode(s) for sets of categorical data and the mode(s), median, and any apparent outliers for numerical data sets.

    • Find Mode and Median - Test set #1previewdownload
    • Find Mode and Median - Test set #2previewdownload
    • Find Mode and Median - Test set #3previewdownload
  • Interpret one- and two-variable data graphs to answer questions about a situation.

    • Interpret Graphs - Test set #1previewdownload
    • Interpret Graphs - Test set #2previewdownload
    • Interpret Graphs - Test set #3previewdownload
  • Represent all possible outcomes for a simple probability situation in an organized way (e.g., tables, grids, tree diagrams).

    • Represent Possible Outcomes - Test set #1previewdownload
    • Represent Possible Outcomes - Test set #2previewdownload
    • Represent Possible Outcomes - Test set #3previewdownload
  • Express outcomes of experimental probability situations verbally and numerically (e.g., 3 out of 4; 3/4).

    • Represent Possible Outcomes - Test set #1previewdownload
    • Represent Possible Outcomes - Test set #2previewdownload
    • Represent Possible Outcomes - Test set #3previewdownload

Introduction

  • Test set #Diagnostic Assessment -Supporting Materials-previewdownload

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