3rd grade Instructional Guide

Utah Core Standards for Mathematics Progressions

Strand

5 th Grade

6 th Grade

Strand

Operations and Algebraic Thinking

Expressions and Equations The Number System

• 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 • Analyze patterns and relationships

• Write and evaluate numerical expressions involving whole-number exponents • Read, write and evaluate expressions in which letter represent numbers • Perform operations applying the Order of Operations • Apply the properties of operations to generate equivalent expressions • Identify when two expressions are equivalent • Use variables to represent numbers and write expressions when solving a real-world problem • Understand solving an equation or inequality • Understand that positive and negative numbers are used together to describe quantities having opposite directions or values • Understand a rational number as a point on the number line • Understand ordering and absolute value of rational numbers • Solve real-world and mathematical problems by graphing points in all four quadrants • Fluently divide multi-digit numbers using the standard algorithm • Fluently add, subtract, multiply and divide numbers using the standard algorithm • Find the GCF of two numbers less than or equal to 100 and the LCM of two numbers less than or equal to 12

o Generate two numerical patterns using two given rules

• Form ordered pairs

Numbers and Operations in Base Ten

The Number System

• Understand the place value system 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