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How to learn Grade 4: Mathematics

Minnesota academic standards: Mathematics, Grade 4

0 of 25 concepts ready to learn · Markdown, for your AI

1. Data Analysis · Collect, organize, display and interpret data, including data collected over a period of time and data represented by fractions and decimals.

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

2. Geometry & Measurement · Use translations, reflections and rotations to establish congruency and understand symmetries.

  1. Translating and reflecting shapes: Draw and translate simple shapes on the coordinate plane; reflect shapes in the axes
  2. Coordinate Transformations: Identify properties of translations, rotations, and reflections; describe and perform these transformations on given figures, and understand that the image is congruent to the original

3. Geometry & Measurement · Understand angle and area as measurable attributes of real-world and mathematical objects. Use various tools to measure angles and areas.

  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
  2. Area (age 8+): Measure areas by counting unit squares (square cm, square m, square in, square ft)
  3. Measuring angles: Measure angles in whole-number degrees using a protractor; draw given angles and sketch angles of specified measure
  4. Types of angles: Identify acute and obtuse angles; compare and order angles up to two right angles by size
  5. 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. Geometry & Measurement · Name, describe, classify and sketch polygons.

  1. Lines, Rays & Angles: Draw and identify points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines; identify these in two-dimensional figures
  2. 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. Classifying shapes by properties: Compare and classify geometric shapes based on their properties and sizes; understand that attributes belonging to a category also belong to all subcategories; classify two-dimensional figures in a hierarchy based on properties

5. Algebra · Use number sentences involving multiplication, division and unknowns to represent and solve real-world and mathematical problems; create real-world situations corresponding to number sentenc

  1. Writing Algebraic Equations: Express missing number problems algebraically using letters for unknowns; translate word problems into equations

6. Algebra · Use input-output rules, tables and charts to represent patterns and relationships and to solve real-world and mathematical problems.

  1. Algebraic Transformations: Model situations or procedures by translating them into algebraic expressions or formulae and by using graphs; move between word problems, algebraic representations, tables, and graphical representations

7. Number & Operation · Represent and compare fractions and decimals in real-world and mathematical situations; use place value to understand how decimals represent quantities.

  1. Decimal place value: Round decimals to any place using place-value understanding; round any whole number to a required degree of accuracy
  2. Comparing Decimals: Compare two decimals to hundredths (or up to three decimal places) by reasoning about size using place-value understanding; record with >, =, <
  3. Fractions on a number line: Understand and use place value for decimals, measures, and integers of any size; extend the number system to include all positive and negative integers, decimals, and fractions on a single number line
  4. Decimal & Percent Notation: Read, write, and use decimal and percentage notation correctly — decimal, decimal point, tenths, hundredths, thousandths, percentage, per cent, % symbol, convert, terminating decimal — and understand the relationships between fractions, decimals, and percentages as three ways of expressing the same value
  5. Reading Decimal Places: Identify the value of each digit in numbers given to three decimal places (e.g. in 4.378, the 7 represents 7 hundredths)
  6. Fractions on a number line: Move fluently between real-world situations, diagrams, number lines, and symbolic equations involving multiplication, fractions, and decimals, explaining what each representation shows
  7. Real-world fraction multiplication: Solve real-world problems involving multiplication of fractions and mixed numbers, using visual fraction models or equations

8. Number & Operation · Demonstrate mastery of multiplication and division basic facts; multiply multi-digit numbers; solve real-world and mathematical problems using arithmetic.

  1. Adding numbers: Add up to four two-digit numbers using strategies based on place value and properties of operations
  2. 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
  3. Mental multiplication and division: Use place value, known and derived facts to multiply and divide mentally, including multiplying by 0 and 1, dividing by 1, and multiplying together three numbers
  4. Multiplying and dividing: Multiply and divide whole numbers and those involving decimals by 10, 100, and 1000
  5. Multiplying and dividing (age 10+): Multiply and divide numbers by 10, 100, and 1000 giving answers up to three decimal places, understanding that digits shift position in the place-value chart