3rd grade Instructional Guide

Utah Core Standards for Mathematics Progressions

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 • Apply and extend previous understandings of multiplication and division to multiply and divide fractions o Interpret a fraction as division of the numerator by the denominator o Solve word problems involving division of whole numbers o Find the are of a rectangle with fractional side lengths by tiling it with unit squares o Multiply fractional side lengths to find area of rectangle to get a rectangular area o Interpret multiplication as scaling o Solve real world problems involving multiplication of fractions and mixed numbers o Divide a unit fraction by a whole number and whole numbers by unit fractions • Convert like measurement units within a given measurement system • Represent and Interpret data o Make a line plot to display a data set of measurements in fractions of a unit ( ! " , ! # , ! $ )

Numbers and Operations- Fractions

• Compute quotients of fractions by fractions • Solve real world problems involving division of fractions • Apply strategies such as using visual fraction models • Create a story and use a visual fraction model to show the quotient • Understand the concept of a ratio and use ratio language • Understand the concept of a unit rate • Use ratio and rate reasoning to solve real-world problems and mathematical problems o Make tables of equivalent ratios o Solve unit rate problems o Find a percent of a quantity as a rate pew 100 o Use ratio reasoning to convert measurement units

The Number System Ratios and Proportional Relationships

Measurement and Data

• Recognize a statistical question as one that anticipates variability in the data related to the question and accounts for it in the answers. • Understand that a set of data collected to answer a statistical question has a distribution which can be described by its center, spread/range and overall shape

Statistics and Probability