3rd grade Instructional Guide

Utah Core Standards for Mathematics Progressions

4 th Grade

5 th Grade

Operations and Algebraic Thinking

• Use the four operations with whole numbers to solve word problems o Interpret a multiplication equation as a comparison o Involve multiplicative comparisons o Solve multistep word problems using whole numbers with whole number answers • Gain familiarity with factors and multiples in the range 1-100 • Generate and analyze patterns that follow a given rule • Generalize place value understanding for multi-digit whole numbers o Read, write, compare and expand multi-digit whole numbers o Round multi-digit numbers to any place • Fluently add and subtract multi-digit whole numbers using the • Use place value understanding and properties of operations to perform multi-digit multiplication o Multiply up to four digits by a one-digit number o Multiply two two-digit numbers using strategies and properties (illustrate and explain the calculations using equations, rectangular arrays and area models)

• Write and interpret numerical expressions

o Use parenthesis, brackets, or braces in numerical expressions and evaluate expression with these symbols o Write simple expressions and interpret numerical expressions without evaluating them o Generate two numerical patterns using two given rules o Form ordered pairs o Recognize a multi-digit number in the one place represents 10 times as much as it represents in the place to its right and 1/10 to its left o Explain patterns when multiplying by zero and explain patterns when a decimal is multiplied or divided o Use whole-number exponents to denote powers of 10 o Read, write and compare decimals to thousandths o Round to any place o Fluently multiply multi-digit whole numbers • Perform operations with multi-digit whole numbers and with decimal to hundredths o Fluently multiply multi-digit whole numbers o Find whole-number quotients of whole numbers up to four-digit dividends (illustrate and explain the calculations using equations, rectangular arrays and area models) o Add, subtract, multiply, and divide decimals to hundredths • Use equivalent fractions as a strategy to add and subtract fractions o Add and subtract fractions with unlike denominators o Solve word problems involving addition and subtraction of fractions with unlike denominators • Analyze patterns and relationships • Understand the place value system

Numbers and Operations in Base Ten

Numbers and Operations- Fractions

• Extend understanding of fraction equivalence and ordering with denominators 2,3,4,5,6,8,10,12,10 o Explain and generate equivalent fractions using visual models o Compare with justification two fractions with different denominators and numerators and use the symbols >, =, <.

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