Figure 9: Counting and Cardinality

Monitor Sheet

Mastery of pretest skills can be recorded for each student on the Monitor Sheet. The Monitor Sheets are matched to the sequence of the Flowchart and maintain the same color coding for ease of use.

A complete Monitor Sheet allows the teacher to see student initial placement and progress at a glance. This information drives instruction by placing students in the proper instructional groups and provides the necessary data for detailed content discussions with students and parents. An example is shown below.

Student’s Name / 4.NBT.2 Read and write multi-digit numbers using base-ten numerals, number names and expanded form. Compare 2 multi-digit numbers with an inequality symbol. / 4.NBT.3 Use place value understanding to round multi-digit whole numbers to any place. / 4.NBT.1 Recognize that in a multi-digit whole number, a digit in one place represents 10 times what it represents in the place to its right. 700 ÷ 70=10 using place value and division.
Shonda Anders / M / M /
Tarra Davis
Greyson Roberts / M /

M = Mastery of Content/Skills = Progress Made

Figure 9: Counting and Cardinality

This sample shows the initial placement of each student. The M’s show initial pretest placement. Shonda pretested out of the first two columns and began instruction in the third column. The represents progress made after instruction. Shonda is progressing well.

Tarra could not accomplish any of the pretest items. She begins instruction in the first column. She is not showing any progression, yet the Monitor Sheet shows that other students have had time to progress. Intervention is necessary at this point.

Greyson pretested out of the first column and progressed out of the second column

The teacher can use this data to discuss specific content progress data with parents, intervention specialists and talented and gifted teachers.

Fourth-Grade Math Monitor Sheet – Number and Operations (PART A)

Fourth-Grade Math Monitor Sheet – Number and Operations (PART B)

Student’s Name / 4.NBT.4 Fluently add and subtract multi-digit whole numbers using the standard algorithm. / 4.OA.4 Find all factor pairs for a whole number 1-100. Determine if the number is prime or composite. / 4.OA.1 Interpret 35=5x7 as 35 is 5 times as many as 7 AND 7 times as many as 5.
Student’s Name / 4.NBT.5 Multiply up to a 4-digit number by a 1-digit number and multiply 2, 2-digit numbers. / 4.OA.2 Multiply or divide to solve word problems. Distinguish multiplicative from additive comparison. / 4.NBT.6 Find whole number quotients and remainders with up to 4-digit dividends and 1-digit divisor. / 4.OA.3 Solve multi-step word problems involving whole numbers using the four operations. Assess reasonableness of answers using estimation and mental computation. / 4.MD.3 Apply the area and perimeter formulas for rectangles in real world math problems. For example, find the width given the area and the length viewing the area formula as an equation with an unknown factor.

Fourth-Grade Math Monitor Sheet – Number and Operations (PART C)

Fourth-Grade Math Monitor Sheet – Fractions (PART A)

Student’s Name / 4.NF.1 Explain a/b = (nxa)/(nxb) using visual fractions. Generate equivalent fractions. / 4.NF.2 Compare 2 fractions with different numerators and denominators including comparisons to ½. / 4.NF.3 Understand a/b with a>1 as a sum of fractions 1/b. Add/Subtract fractions. / 4.NF.6 Use decimal notation for fractions with denominators 10 or 100.

Fourth-Grade Math Monitor Sheet – Fractions (PART B)

Student’s Name / 4.NF.5 Express a fraction with denominator of 10 as an equivalent fraction with denominator of 100. Use to add 3/10 + 4/100. / 4.NF.4 Apply and extend previous understandings to multiply a fraction by a whole number. / 4.NF.7 Compare 2 decimals to hundredths using inequality symbols. Comparisons valid when the 2 decimals refer to the same whole. / 4.MD.1 Know the relative sizes of measurement units within one system of units. Express larger units in terms of smaller units within one system.

Fourth-Grade Math Monitor Sheet – Fractions (PART C)

Student’s Name / 4.MD.2 Use the four operations to solve word problems involving distances, intervals of time, liquid volumes, masses of objects and money, including problems involving simple fractions or decimals, and problems that require expressing measurements given in larger units in terms of a smaller unit. Represent measurement quantities using diagrams, such as number line diagrams, that feature a measurement scale. / 4.MD.4 Make a line plot to display a data set of measurements in fractions of a unit (1/2, ¼, 1/8). Solve problems involving addition and subtraction of fractions by using information presented in line plots. For example, from a line plot, find and interpret the difference in length between the longest and shortest specimens in an insect collection.

Fourth-Grade Math Monitor Sheet – Patterns

Student’s Name / 4.OA.5 Generate a number or shape pattern that follows a given rule.

Fourth-Grade Math Monitor Sheet – Geometry

Student’s Name / 4.MD.5 Recognize angles as geometric shapes formed when 2 rays share a common endpoint. Measure in degrees. / 4.MD.6 Measure angles in whole number degrees using a protractor. Sketch angles of a specified measure. / 4.MD.7 Recognize angle measure as additive. Solve addition and subtraction problems to find unknown angles.

Fourth-Grade Math Monitor Sheet – Geometry

Student’s Name / 4.G.1 Draw points, lines, line segments, rays, angles, perpendicular and parallel lines. Identify in 2-D shapes. / 4.G.2 Classify 2-D figures based on parallel or perpendicular lines, and angle size. / 4.G.3 Recognize a line of symmetry for a 2-D figure and draw lines of symmetry.