How to learn Grade 4: Mathematics

Arizona academic standards: Mathematics, Grade 4

0 of 10 concepts ready to learn · Markdown, for your AI

1. Measurement and Data · Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and understand concepts of angle measurement:

1. What Is an Angle?: Understand that an angle is a geometric shape formed by two rays sharing a common endpoint (vertex); recognise angles in real-life contexts and 2-D shapes
2. Degrees and turns: Know that angles are measured in degrees, where one degree is 1/360 of a full turn; understand that an angle turning through n one-degree angles has a measure of n degrees

2. Number and Operations – Fractions · Build fractions from unit fractions.

1. Dividing fractions (unit fractions): Interpret and compute division of a unit fraction by a non-zero whole number (e.g. 1/3 ÷ 4 = 1/12); use visual models and the relationship between multiplication and division to explain the result
2. Fraction Addition Concepts: Understand addition and subtraction of fractions as joining and separating parts; decompose a fraction into a sum of fractions with the same denominator in more than one way
3. Multiplying fractions: Understand a/b as a multiple of 1/b; multiply proper fractions and mixed numbers by whole numbers, supported by visual models (e.g. 3 × 2/5 = 6/5 = 1 1/5)
4. 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

3. Number and Operations – Fractions · Understand a fraction a/b with a > 1 as a sum of unit fractions (1/b).

1. Adding fractions (different denominators): Add and subtract fractions with denominators that are multiples of the same number by finding a common denominator
2. Adding and subtracting mixed numbers: Add and subtract mixed numbers with like denominators, including by converting to improper fractions or using properties of operations

4. Number and Operations – Fractions · Compare two fractions with different numerators and different denominators (e.g., by creating common denominators or numerators and by comparing to a benchmark frac

1. Comparing fractions (age 8+): Compare two fractions with the same numerator or the same denominator by reasoning about size; record comparisons with >, =, or < symbols
2. Comparing fractions (age 9+): Compare and order fractions with different numerators and denominators by creating common denominators/numerators or comparing to a benchmark such as 1/2; justify conclusions with visual models