Tennessee TCAP Grade 3 Math Standards Practice Map

Understand that shapes in different categories may share attributes and that the shared attributes can define a larger category. Recognize rhombuses, rectangles, and squares as examples of quadrilaterals and recognize examples of quadrilaterals that do not belong to any of these subcategories

Partition shapes into parts with equal areas. Recognize that equal shares of identical wholes need not have the same shape. Express the area of each part as a unit fraction of the whole

Measure the mass of objects and liquid volume using standard units of grams (g), kilograms (kg), milliliters (ml), and liters (l). Estimate the mass of objects and liquid volume using benchmarks

Draw a pictograph and a scaled bar graph to represent a data set with several categories. Solve one- and two-step "how many more" and "how many less" problems using information presented in graphs

Generate measurement data by measuring lengths using rulers marked with halves and fourths of an inch. Show the data by making a line plot, where the horizontal scale is marked off in appropriate units: whole numbers, halves, or quarters

Recognize that plane figures have an area and understand concepts of area measurement

Measure areas by counting unit squares (square centimeters, square meters, square inches, square feet, and improvised units)

Relate area of rectangles to the operations of multiplication and addition

Solve real-world and mathematical problems involving perimeters of polygons, including finding the perimeter given the side lengths, finding an unknown side length, and exploring rectangles with the same perimeter and different areas or with the same area and different perimeters

Geometric measurement: recognize perimeter as an attribute of plane figures and distinguish between linear and area measures

Round whole numbers to the nearest 10 or 100 using understanding of place value and use a number line to explain how the number was rounded

Fluently add and subtract within 1000 using strategies and algorithms based on place value, properties of operations, and/or the relationship between addition and subtraction

Multiply one-digit whole numbers by multiples of 10 in the range 10–90 (e.g., 9 × 80, 5 × 60) using strategies based on place value and properties of operations

Understand a unit fraction,1/b, as the quantity formed by 1 part when a whole is partitioned intobequal parts; understand a non-unit fraction,n/b, as the quantity formed bynparts of size1/b

Understand a fraction as a number on the number line. Represent fractions on a number line

Explain equivalence of fractions and compare fractions by reasoning about their size

Interpret the factors and products in whole number multiplication equations (e.g., 4 × 7 is 4 groups of 7 objects with a total of 28 objects or 4 strings measuring 7 inches each with a total length of 28 inches)

Interpret the dividend, divisor, and quotient in whole number division equations (e.g., 28 ÷ 7 can be interpreted as 28 objects divided into 7 equal groups with 4 objects in each group or 28 objects divided so there are 7 objects in each of the 4 equal groups)

Multiply and divide within 100 to solve contextual problems, with the unknown in any positions, in situations involving equal groups, arrays/area, and measurement quantities using strategies based on place value, the properties of operations, and the relationship between multiplication and division (e.g., contexts including computations such as 3 × ? = 24, 6 × 16 = ?, ? ÷ 8 = 3, or 96 ÷ 6 = ?)

Determine the unknown whole number in a multiplication or division equation relating three whole numbers within 100

Apply properties of operations as strategies to multiply and divide

Understand division as an unknown-factor problem

Fluently multiply and divide within 100, using strategies such as the properties of operations or the relationship between multiplication and division (e.g., knowing that 8 × 5 = 40, one knows 40 ÷ 5 = 8). By the end of 3rd grade, know all products of two one-digit numbers and related division facts

Solve two-step contextual problems using the four operations. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding

Identify patterns in a multiplication chart and explain them using properties of operations