- standard
Understand the place value system
- 5th Grade
- Michigan State Math Standards
- Number and Operations in Base Ten
Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 × 100 + 4 × 10 + 7 × 1 + 3 × (1/10) + 9 × (1…
- standard
Understand the place value system
- 5th Grade
- Michigan State Math Standards
- Number and Operations in Base Ten
Read, write, and compare decimals to thousandths.
- standard
Analyze patterns and relationships
- 5th Grade
- Michigan State Math Standards
- Operations and Algebraic Thinking
Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of correspond…
- standard
Write and interpret numerical expressions
- 5th Grade
- Michigan State Math Standards
- Operations and Algebraic Thinking
Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculati…
- standard
Write and interpret numerical expressions
- 5th Grade
- Michigan State Math Standards
- Operations and Algebraic Thinking
Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.
- standard
Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers
- 4th Grade
- Michigan State Math Standards
- Number and Operations—Fractions
Solve word problems involving multiplication of a fraction by a whole number, e.g., by using visual fraction models and equations to represent the problem. For…
- standard
Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers
- 4th Grade
- Michigan State Math Standards
- Number and Operations—Fractions
Understand a multiple of a/b as a multiple of 1/b, and use this understanding to multiply a fraction by a whole number. For example, use a visual fraction mode…
- standard
Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers
- 4th Grade
- Michigan State Math Standards
- Number and Operations—Fractions
Understand a fraction a/b as a multiple of 1/b. For example, use a visual fraction model to represent 5/4 as the product 5 × (1/4), recording the conclusion by…
- standard
Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers
- 4th Grade
- Michigan State Math Standards
- Number and Operations—Fractions
Add and subtract mixed numbers with like denominators, e.g., by replacing each mixed number with an equivalent fraction, and/or by using properties of operatio…
- standard
Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers
- 4th Grade
- Michigan State Math Standards
- Number and Operations—Fractions
Decompose a fraction into a sum of fractions with the same denominator in more than one way, recording each decomposition by an equation. Justify decomposition…
- standard
Draw and identify lines and angles, and classify shapes by properties of their lines and angles
- 4th Grade
- Michigan State Math Standards
- Geometry
Recognize 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. Id…
- standard
Draw and identify lines and angles, and classify shapes by properties of their lines and angles
- 4th Grade
- Michigan State Math Standards
- Geometry
Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two-dimensional figures.
- standard
Geometric measurement: understand concepts of angle and measure angles
- 4th Grade
- Michigan State Math Standards
- Measurement and Data
Recognize angle measure as additive. When an angle is decomposed into non-overlapping parts, the angle measure of the whole is the sum of the angle measures of…
- standard
Geometric measurement: understand concepts of angle and measure angles
- 4th Grade
- Michigan State Math Standards
- Measurement and Data
Measure angles in whole-number degrees using a protractor. Sketch angles of specified measure.