How to learn Grade 4: Mathematics
New Jersey academic standards: Mathematics, Grade 4
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1. Measurement · Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and understand concepts of angle measurement:
- 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
- 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 · Apply and extend previous understandings of multiplication to multiply a fraction by a whole number.
- 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)
- Fractions of a whole (age 9+): Solve word problems involving multiplication of a fraction by a whole number using visual models and equations
- Real-world fraction multiplication: Solve real-world problems involving multiplication of fractions and mixed numbers, using visual fraction models or equations
3. Number and Operations - Fractions · Understand a fraction a/b with as a sum of fractions 1/b.
- 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
- 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
- Adding fractions (different denominators): Add and subtract fractions with denominators that are multiples of the same number by finding a common denominator
- Adding and subtracting mixed numbers: Add and subtract mixed numbers with like denominators, including by converting to improper fractions or using properties of operations