Arithmetic
Unit 1
- Use the four operations with whole numbers to solve problems with whole numbers
- Become familiar with factors and multiples within 100
- Generate and analyze mathematical patterns
- Generalize place value understanding for multi-digit whole numbers
- Understand that the digit in one place is 10 times what it would be in the place to the right
- Read and write multi-digit numerals
- Write numbers in expanded form to show place value of each digit (Example: 26,825 = 20,000 + 6,000 + 800 + 20 + 5)
- Round multi-digit numerals to any place
- Compare the values of numbers using the symbols <, > , and =
Unit 2
- Use understanding of place value and properties of operations to perform multi-digit arithmetic problems
- Draw, identify, and define points, lines, line segments, rays, and angles
- Draw, recognize, and define parallel and nonparallel lines
- Classify shapes by properties of their lines and angles
- Identify different kinds of triangles; recognize right triangles
- Recognize and define lines of symmetry
- Compare and order numbers with different numerators and denominators
- Build fractions from unit fractions
- Decompose a fraction into a sum of fractions with the same denominator
Unit 3
- Add and subtract mixed fractional numbers with like denominators
- Multiply fractions by whole numbers
- Solve word problems involving addition and subtraction of fractions
- Create visual models to represent and solve problems with fractions
- Express a fraction with denominator of 10 as an equivalent fraction with denominator of 100
- Use decimal notation for fractions with denominators 10 or 100
- Compare decimals to one hundredth
- Know relative sizes of units in metric and English systems
- Convert units to larger and smaller units
Unit 4
- Solve word problems with time, distance, masses of objects, money, and temperature
- Use formulas to find area and perimeter of rectangles
- Solve real-world problems involving measurement and conversion of measurements from a larger unit to a smaller unit
- Represent and interpret data
- Make a line plot to show data in fractions of units
- Understand that a circle has 360 degrees
- Use a protractor to measure and draw angles in whole-number degrees
- Understand and show angle measure as additive