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How to learn Grade 3: Mathematics

Nebraska academic standards: Mathematics, Grade 3

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1. Grade 3 · Analyze Data and Interpret Results: Students will analyze the data and interpret the results.

  1. Bar graphs: Interpret and present discrete and continuous data using appropriate graphical methods, including bar charts and time graphs

2. Grade 3 · Data Collection: Students will formulate questions to collect, organize, and represent data.

  1. Measuring & Plotting Lengths: Generate measurement data by measuring lengths to the nearest whole unit and display the data on a line plot
  2. Representing numbers with objects (age 8+): Draw a scaled picture graph and a scaled bar graph to represent a data set; solve one- and two-step comparison, sum, and difference problems using bar charts, pictograms, and tables

3. Grade 3 · Time: Students will tell time to the nearest minute and find elapsed time.

  1. Estimating answers (age 7+): Estimate and read time with increasing accuracy to the nearest minute; record and compare time in terms of seconds, minutes, and hours
  2. Telling time to the minute (age 8+): Tell and write time to the nearest minute using analogue and digital clocks

4. Grade 3 · Measurement: Students will use tools to solve measurement problems.

  1. Estimating Lengths: Estimate lengths using units of inches, feet, centimetres, and metres
  2. Calculating with measurements: Measure, compare, add, and subtract lengths (m/cm/mm), mass (kg/g), and volume/capacity (l/ml) using standard units
  3. Measuring Liquids & Masses: Measure and estimate liquid volumes and masses of objects using grams, kilograms, and litres; solve one-step word problems involving mass or volume

5. Grade 3 · Area and Perimeter: Students will recognize perimeter and area as attributes 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

6. Grade 3 · Shapes and Their Attributes: Students will recognize and represent the attributes of two-dimensional shapes.

  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

7. Grade 3 · Operations and Algebraic Thinking: Students will extend understanding of multiplication and apply operational properties to solve problems.

  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
  2. Properties of Operations: Apply properties of operations (commutative, associative, distributive) as strategies to multiply and divide
  3. Understanding fractions: Move fluently between real-world situations, diagrams, and symbolic equations involving three-digit numbers and fractions, explaining what each part represents
  4. 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
  5. Two-Step Equations: Solve two-step word problems using the four operations; represent problems using equations with a letter standing for the unknown quantity
  6. Understanding fractions (age 9+): Construct and present logical mathematical arguments involving multiple steps; critique others' reasoning about fractions, angles, or calculations and clearly explain errors or alternative methods
  7. Adding numbers: Add up to four two-digit numbers using strategies based on place value and properties of operations

8. Grade 3 · Fractions: Students will develop understanding of fractions as numbers.

  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
  2. Comparing fractions: Compare and order unit fractions, and fractions with the same denominator
  3. 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
  4. Comparing fractions (age 8+): Compare two fractions with the same numerator or the same denominator by reasoning about size; record comparisons with >, =, or < symbols
  5. 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
  6. Fractions of a whole (age 8+): Express whole numbers as fractions (e.g. 3 = 3/1) and recognise fractions equivalent to whole numbers (e.g. 4/4 = 1, 6/1 = 6)
  7. 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
  8. Fractions as parts of shapes: Partition shapes into parts with equal areas and express the area of each part as a unit fraction of the whole

9. Grade 3 · Numeric Relationships: Students will demonstrate and represent multi-digit numbers using place value understanding.

  1. Numbers to 10,000: Identify, represent, and estimate numbers up to 10,000 using different representations