How to learn Grade 3: Mathematics

Utah academic standards: Mathematics, Grade 3

0 of 17 concepts ready to learn · Markdown, for your AI

1. Measurement and Data · Relate area to the operations of multiplication and addition (refer to 3.OA.5).

1. Area by Tiling: Find the area of a rectangle by tiling it with unit squares and show that the result equals the product of the side lengths
2. Understanding angles (age 8+): Multiply side lengths to find areas of rectangles and represent whole-number products as rectangular areas
3. Area of compound shapes: Recognise area as additive; find areas of rectilinear figures by decomposing into non-overlapping rectangles and summing their areas
4. Area and the distributive property: Use tiling to demonstrate the distributive property: the area of a rectangle with sides a and (b+c) equals a×b + a×c; use area models to represent the distributive property

2. Measurement and Data · Recognize area as an attribute of plane figures and understand concepts of area measurement.

1. Understanding Area: Understand that a unit square has one square unit of area and that the area of a plane figure is the number of unit squares that cover it without gaps or overlaps

3. Number and Operations — Fractions · Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size.

1. Comparing fractions: Compare and order unit fractions, and fractions with the same denominator
2. Comparing fractions (age 8+): Compare two fractions with the same numerator or the same denominator by reasoning about size; record comparisons with >, =, or < symbols
3. Fraction Notation: Read, write, and use fraction notation correctly — fraction, numerator, denominator, unit fraction, non-unit fraction, proper fraction, improper fraction, mixed number, equivalent fraction, simplest form — and understand what each term describes, including the roles of the numerator and denominator in expressing parts of a whole
4. Understanding fractions: Write simple fractions (e.g. 1/2 of 6 = 3) and recognise the equivalence of 2/4 and 1/2
5. Equivalent fractions: Recognise and show, using diagrams, equivalent fractions with small denominators
6. Equivalent fractions on a number line: Understand two fractions as equivalent if they are the same size or the same point on a number line; recognise and show families of common equivalent fractions using diagrams

4. Number and Operations — Fractions · Understand a fraction as a number on the number line; represent fractions on a number line diagram.

1. Fractions on a number line: Recognise and use fractions as numbers: place unit fractions and non-unit fractions with small denominators on a number line

5. Number and Operations — Fractions · Understand that a unit fraction has a numerator of one and a non-zero denominator.

1. Fractions of a whole: Understand a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal parts; understand a/b as a parts of size 1/b

6. Operations and Algebraic Thinking · Solve two-step word problems.

1. Multi-Step Problem Solving: With teacher support, make sense of multi-step problems involving larger numbers or mixed operations by breaking them into parts, choosing strategies, and checking answers for reasonableness — children at this stage are developing the habit with guidance; independent strategy evaluation comes later
2. Two-Step Equations: Solve two-step word problems using the four operations; represent problems using equations with a letter standing for the unknown quantity
3. Multi-step problems: choosing operations: Solve problems involving addition, subtraction, multiplication, and division, deciding which operations and methods to use and why; solve multi-step problems in contexts

7. Operations and Algebraic Thinking · Fluently multiply and divide.

1. Fluent multiplication and division facts: Fluently multiply and divide within 100 using strategies such as the relationship between multiplication and division