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How to learn Grade 4: Mathematics

Alabama academic standards: Mathematics, Grade 4

0 of 28 concepts ready to learn · Markdown, for your AI

1. Geometry · Define a line of symmetry for a two-dimensional figure as a line across the figure such that the figure can be folded along the line into matching parts.

  1. 2-D shapes (age 8+): Identify lines of symmetry in 2-D shapes presented in different orientations; recognise line-symmetric figures and draw lines of symmetry
  2. Lines of symmetry: Complete a simple symmetric figure with respect to a specific line of symmetry

2. Geometry · Identify two-dimensional figures based on the presence or absence of parallel or perpendicular lines or the presence or absence of angles of a specified size.

  1. Classifying shapes by line properties: Classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or angles of a specified size; recognise right triangles as a category

3. Measurement · Decompose an angle into non-overlapping parts to demonstrate that the angle measure of the whole is the sum of the angle measures of the parts.

  1. Measuring angles (age 9+): Recognise angle measure as additive; find unknown angles by adding or subtracting on a diagram using equations with a symbol for the unknown

4. Measurement · Use the four operations to solve measurement word problems with distance, intervals of time, liquid volume, mass of objects, and money.

  1. Fractions on a number line: Solve word problems involving distances, time intervals, liquid volumes, masses, and money using the four operations with fractions or decimals; represent with diagrams including number lines
  2. Measurement Conversions: Solve problems involving the calculation and conversion of units of measure, using decimal notation and multi-step reasoning in real-world contexts

5. Measurement · Select and use an appropriate unit of measurement for a given attribute (length, mass, liquid volume, time) within one system of units: metric - km, m, cm; kg, g, l, ml; customary - lb,

  1. Calculating with measurements: Measure, compare, add, and subtract lengths (m/cm/mm), mass (kg/g), and volume/capacity (l/ml) using standard units
  2. Converting measurement units (age 9+): Know relative sizes of measurement units within one system (km/m/cm/mm, kg/g, l/ml, hr/min/sec); convert between different metric units and express measurements in terms of a smaller unit; record equivalents in conversion tables

6. Data Analysis · Interpret data in graphs (picture, bar, and line plots) to solve problems using numbers and operations.

  1. Measurement Line Plots: Make a line plot to display measurement data in fractions of a unit (1/2, 1/4, 1/8); solve problems involving addition and subtraction of fractions using line plot data
  2. Understanding fractions: Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8); use operations on fractions to solve problems involving data in line plots (e.g. redistribute total equally)

7. Operations with Numbers: Fractions · Express, model, and explain the equivalence between fractions with denominators of 10 and 100.

  1. Converting tenths to hundredths: Express a fraction with denominator 10 as an equivalent fraction with denominator 100 and use this to add fractions with denominators 10 and 100 (e.g. 3/10 + 4/100 = 34/100)
  2. Adding fractions (different denominators): Add and subtract fractions with denominators that are multiples of the same number by finding a common denominator

8. Operations with Numbers: Fractions · Apply and extend previous understandings of multiplication to multiply a whole number times a fraction.

  1. Real-world fraction multiplication: Solve real-world problems involving multiplication of fractions and mixed numbers, using visual fraction models or equations
  2. 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)
  3. 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
  4. 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

9. Operations with Numbers: Fractions · Compare two fractions with different numerators and different denominators using concrete models, benchmarks (0, ½, 1), common denominators, and/or common numerato

  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

10. Operations with Numbers: Fractions · Using area and length fraction models, explain why one fraction is equivalent to another, taking into account that the number and size of the parts differ even tho

  1. Equivalent fractions (age 8+): Generate simple equivalent fractions and explain why they are equivalent using visual fraction models
  2. Equivalent fractions (age 9+): Explain why a fraction a/b is equivalent to (n×a)/(n×b) using visual models; use this principle to recognise and generate equivalent fractions, including tenths and hundredths
  3. Equivalent fractions: Recognise and show, using diagrams, equivalent fractions with small denominators

11. Operations with Numbers: Base Ten · Use strategies based on place value, properties of operations, and/or the relationship between multiplication and division to find whole-number quotients and remain

  1. Multiplying by Tens: Multiply one-digit whole numbers by multiples of 10 in the range 10–90 using strategies based on place value and properties of operations

12. Operations with Numbers: Base Ten · Find the product of two factors (up to four digits by a one-digit number and two two-digit numbers), using strategies based on place value and the properties of ope

  1. Adding numbers: Add up to four two-digit numbers using strategies based on place value and properties of operations

13. Operations and Algebraic Thinking · For whole numbers in the range 1 to 100, find all factor pairs, identifying a number as a multiple of each of its factors.

  1. Factors, multiples, and primes: Find all factor pairs for a whole number in the range 1–100; identify common factors and common multiples of two numbers; use these concepts to solve problems
  2. Prime numbers: Know and use the vocabulary of prime numbers, prime factors, and composite numbers; establish whether a number up to 100 is prime; recall prime numbers up to 19

14. Operations and Algebraic Thinking · Determine and justify solutions for multi-step word problems, including problems where remainders must be interpreted.

  1. 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
  2. Advanced Multi-Step Problems: Make sense of complex multi-step problems involving ratio, proportion, algebra, negative numbers, and all four operations with fractions and decimals by analysing given and unknown quantities, planning solution strategies, and evaluating reasonableness using estimation and inverse operations
  3. Two-Step Equations: Solve two-step word problems using the four operations; represent problems using equations with a letter standing for the unknown quantity