3rd grade Instructional Guide

Utah Core Standards for Mathematics Progressions

2 nd Grade

3 rd Grade

Operations and Algebraic Thinking

• Represent and solve one- and two-step word problems involving addition and subtraction within 100 • Fluently add and subtract within 20 using mental strategies • Work with equal groups of objects to gain foundations for multiplication • Use addition to find the total number of objects in rectangular arrays with up to 5 rows and up to 5 columns • Use place value understanding and properties of operations to add and subtract within 100 o Count, read and write within 1000 o Compare three-digit numbers using symbols •

• Represent and solve problems involving multiplication and division within 100 • Understand properties of multiplication and the relationship between multiplication and division • Multiply and divide within 100 • Solve two-step word problems involving the four operations and identify and explain patterns in arithmetic Use place value understanding and properties of operations to perform multi-digit arithmetic o Round whole numbers to nearest 10 or 100 o Fluently add and subtract within 1000 o Multiply one-digit whole numbers by multiples of 10 in range 10-90 • Develop understanding of fractions as numbers with denominators 2, 3, 4, 6, 8 using number lines • Explain equivalence of fractions and compare by reasoning about their size Solve problems involving measurement and estimation of intervals of time to the nearest minute • Solve problems involving measurement and estimation of liquid volumes and masses of objects using grams, kilograms and liters • Represent and interpret data using scaled picture and bar graphs • Generate measurement data by measuring lengths to halves and fourths • Geometric measurement: Understand concepts of area and relate area to multiplication and to addition • Geometric measurement: Recognize perimeter as an attribute of plane figures and distinguish between linear and area measures. Understand that shapes in different categories may share attributes • Partition shapes into parts with equal areas

Numbers and Operations in Base Ten

Numbers and Operations- Fractions

Measurement and Data

• Measure lengths of an object by selecting and using appropriate tools in standard units. • Measure and estimate lengths using units of inches, feet centimeters and meters • Measure to determine how much longer • Relate addition and subtraction to length within 100 • Represent whole numbers as distance from 0 on the number line • Work with time on digital and analog clocks to the nearest 5 minutes • Solve word problems involving money • Represent and interpret data by measuring objects and making repeated measurements of the same object • Represent and interpret data by drawing a picture graph and a bar graph to represent a data set up to four categories • • Recognize and draw shapes having specified attributes • Partition a rectangle into rows and columns • Partition circles and rectangles into two, three, or four equal shares •

Geometry

*Links above are information regarding Progression Documents for the Utah Core State Math Standards